Statistical Analysis of the Random Variables "Number of Vertices with d Neighbors", in the Set of labelled trees,for genreal d but especially for d \ between 1 and, 4, and Explicit expressions for their moments up to, 4 and mixed moments up to , 4 By Shalosh B. Ekhad In this article we will study the random variable let's call it, X[d], that i\ s the number of vertices in a random labelled tree on n vertices that h\ ave d neighbors. In particular, X[1], is the number of leaves Let's start with some general formulas valid for all degrees Theorem 1: For all positive integers d the asymptotic expression for the exp\ ectation of X[d] is n exp(-1) --------- (d - 1)! and in Maple notation n*exp(-1)/(d-1)! The variance of X[d] is, asymptotically / 2 \ |exp(-1) exp(-2) (d - 4 d + 5)| n |-------- - ----------------------| |(d - 1)! 2 | \ ((d - 1)!) / and in Maple notation n*(exp(-1)/(d-1)!-exp(-2)*(d^2-4*d+5)/(d-1)!^2) The covariance of X[d1] and X[d2] is, asymptotically n exp(-2) (-d1 d2 + 2 d1 + 2 d2 - 5) ------------------------------------ (d1 - 1)! (d2 - 1)! and in Maple notation n*exp(-2)*(-d1*d2+2*d1+2*d2-5)/(d1-1)!/(d2-1)! Hence The limit of the correlation of X[d1] and X[d2], as n goes to infinity\ is / / | | exp(-2) (-d1 d2 + 2 d1 + 2 d2 - 5)/|(d1 - 1)! (d2 - 1)! | | | \ \ / 2 \ | exp(-1) exp(-2) (d1 - 4 d1 + 5)| |--------- - ------------------------| |(d1 - 1)! 2 | \ ((d1 - 1)!) / / 2 \\1/2\ | exp(-1) exp(-2) (d2 - 4 d2 + 5)|| | |--------- - ------------------------|| | |(d2 - 1)! 2 || | \ ((d2 - 1)!) // / and in Maple notation exp(-2)*(-d1*d2+2*d1+2*d2-5)/(d1-1)!/(d2-1)!/((exp(-1)/(d1-1)!-exp(-2)*(d1^2-4* d1+5)/(d1-1)!^2)*(exp(-1)/(d2-1)!-exp(-2)*(d2^2-4*d2+5)/(d2-1)!^2))^(1/2) Now let's give explicit formulas for all the moments, about the mean, of X[d\ ] from d=1 to, d = 4 For the second throgh the, 4, moment ----------------------------------------------------------------------------\ --- The variance of, X[1], is 6 n 2 3 n 4 n 3 n n ((n - 1) ) n (n - 1) n (n - 2) n (n - 2) - -------------- + ----------- + ----------- - ----------- 4 n 2 n 2 n 2 n 2 (n - 1) (n ) n (n - 1) n (n - 2) n (n - 2) and in Maple notation -n^6*((n-1)^n)^2/(n-1)^4/(n^n)^2+1/(n^n)*n^3*(n-1)^n/(n-1)^2+1/(n^n)*n^4*(n-2)^ n/(n-2)^2-1/(n^n)*n^3*(n-2)^n/(n-2)^2 The, 3, -th moment about the mean of, X[1], is 9 n 3 6 n 2 7 n n 2 n ((n - 1) ) 3 n ((n - 1) ) 3 n (n - 1) (n - 2) ---------------- - ---------------- - ----------------------- 6 n 3 4 n 2 2 n 2 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 6 n n 3 n 4 n 3 n 3 n (n - 1) (n - 2) n (n - 1) 3 n (n - 2) 3 n (n - 2) + ----------------------- + ----------- + ------------- - ------------- 2 n 2 2 n 2 n 2 n 2 (n - 1) (n ) (n - 2) n (n - 1) n (n - 2) n (n - 2) 5 n 4 n 3 n n (n - 3) 3 n (n - 3) 2 n (n - 3) + ----------- - ------------- + ------------- n 2 n 2 n 2 n (n - 3) n (n - 3) n (n - 3) and in Maple notation 2*n^9*((n-1)^n)^3/(n-1)^6/(n^n)^3-3*n^6*((n-1)^n)^2/(n-1)^4/(n^n)^2-3*n^7*(n-1) ^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^2+3*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^ 2+1/(n^n)*n^3*(n-1)^n/(n-1)^2+3/(n^n)*n^4*(n-2)^n/(n-2)^2-3/(n^n)*n^3*(n-2)^n/( n-2)^2+1/(n^n)*n^5*(n-3)^n/(n-3)^2-3/(n^n)*n^4*(n-3)^n/(n-3)^2+2/(n^n)*n^3*(n-3 )^n/(n-3)^2 The, 4, -th moment about the mean of, X[1], is 12 n 4 9 n 3 10 n 2 n 3 n ((n - 1) ) 6 n ((n - 1) ) 6 n ((n - 1) ) (n - 2) - ----------------- + ---------------- + -------------------------- 8 n 4 6 n 3 4 n 3 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 9 n 2 n 6 n 2 7 n n 6 n ((n - 1) ) (n - 2) 4 n ((n - 1) ) 12 n (n - 1) (n - 2) - ------------------------- - ---------------- - ----------------------- 4 n 3 2 4 n 2 2 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) (n - 2) 6 n n 8 n n 12 n (n - 1) (n - 2) 4 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 2 2 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 7 n n 6 n n 3 n 12 n (n - 1) (n - 3) 8 n (n - 1) (n - 3) n (n - 1) + ----------------------- - ----------------------- + ----------- 2 n 2 2 2 n 2 2 n 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) n (n - 1) 4 n 3 n 5 n 4 n 7 n (n - 2) 7 n (n - 2) 6 n (n - 3) 18 n (n - 3) + ------------- - ------------- + ------------- - -------------- n 2 n 2 n 2 n 2 n (n - 2) n (n - 2) n (n - 3) n (n - 3) 3 n 6 n 5 n 4 n 12 n (n - 3) n (n - 4) 6 n (n - 4) 11 n (n - 4) + -------------- + ----------- - ------------- + -------------- n 2 n 2 n 2 n 2 n (n - 3) n (n - 4) n (n - 4) n (n - 4) 3 n 6 n (n - 4) - ------------- n 2 n (n - 4) and in Maple notation -3*n^12*((n-1)^n)^4/(n-1)^8/(n^n)^4+6*n^9*((n-1)^n)^3/(n-1)^6/(n^n)^3+6*n^10*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^2-6*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 2)^n/(n-2)^2-4*n^6*((n-1)^n)^2/(n-1)^4/(n^n)^2-12*n^7*(n-1)^n/(n-1)^2/(n^n)^2*( n-2)^n/(n-2)^2+12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^2-4*n^8*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-3)^n/(n-3)^2+12*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^2-8*n ^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^2+1/(n^n)*n^3*(n-1)^n/(n-1)^2+7/(n^n)* n^4*(n-2)^n/(n-2)^2-7/(n^n)*n^3*(n-2)^n/(n-2)^2+6/(n^n)*n^5*(n-3)^n/(n-3)^2-18/ (n^n)*n^4*(n-3)^n/(n-3)^2+12/(n^n)*n^3*(n-3)^n/(n-3)^2+1/(n^n)*n^6*(n-4)^n/(n-4 )^2-6/(n^n)*n^5*(n-4)^n/(n-4)^2+11/(n^n)*n^4*(n-4)^n/(n-4)^2-6/(n^n)*n^3*(n-4)^ n/(n-4)^2 Also the limits of the scaled moments about the mean up to the, 8, are [1, 3, 15, 105] that are the same as those of the Normal distribution, proving asympotic nor\ mality up to the, 8, moment. ----------------------------------------------------------------------------\ --- The variance of, X[2], is 8 n 2 7 n 2 6 n 2 4 n n ((n - 1) ) 4 n ((n - 1) ) 4 n ((n - 1) ) n (n - 1) - -------------- + ---------------- - ---------------- + ----------- 6 n 2 6 n 2 6 n 2 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n (n - 1) 3 n 6 n 5 n 4 n 2 n (n - 1) n (n - 2) 6 n (n - 2) 11 n (n - 2) - ------------- + ----------- - ------------- + -------------- n 3 n 4 n 4 n 4 n (n - 1) n (n - 2) n (n - 2) n (n - 2) 3 n 6 n (n - 2) - ------------- n 4 n (n - 2) and in Maple notation -n^8*((n-1)^n)^2/(n-1)^6/(n^n)^2+4*n^7*((n-1)^n)^2/(n-1)^6/(n^n)^2-4*n^6*((n-1) ^n)^2/(n-1)^6/(n^n)^2+1/(n^n)*n^4*(n-1)^n/(n-1)^3-2/(n^n)*n^3*(n-1)^n/(n-1)^3+1 /(n^n)*n^6*(n-2)^n/(n-2)^4-6/(n^n)*n^5*(n-2)^n/(n-2)^4+11/(n^n)*n^4*(n-2)^n/(n-\ 2)^4-6/(n^n)*n^3*(n-2)^n/(n-2)^4 The, 3, -th moment about the mean of, X[2], is 12 n 3 11 n 3 10 n 3 9 n 3 2 n ((n - 1) ) 12 n ((n - 1) ) 24 n ((n - 1) ) 16 n ((n - 1) ) ----------------- - ------------------ + ------------------ - ----------------- 9 n 3 9 n 3 9 n 3 9 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 8 n 2 7 n 2 10 n n 3 n ((n - 1) ) 12 n ((n - 1) ) 3 n (n - 1) (n - 2) - ---------------- + ----------------- - ----------------------- 6 n 2 6 n 2 3 n 2 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 9 n n 8 n n 24 n (n - 1) (n - 2) 69 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n 2 6 n n 84 n (n - 1) (n - 2) 12 n ((n - 1) ) 36 n (n - 1) (n - 2) + ----------------------- - ----------------- - ----------------------- 3 n 2 4 6 n 2 3 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) (n - 2) 4 n 3 n 6 n 5 n n (n - 1) 2 n (n - 1) 3 n (n - 2) 18 n (n - 2) + ----------- - ------------- + ------------- - -------------- n 3 n 3 n 4 n 4 n (n - 1) n (n - 1) n (n - 2) n (n - 2) 4 n 3 n 8 n 7 n 33 n (n - 2) 18 n (n - 2) n (n - 3) 12 n (n - 3) + -------------- - -------------- + ----------- - -------------- n 4 n 4 n 5 n 5 n (n - 2) n (n - 2) n (n - 3) n (n - 3) 6 n 5 n 4 n 3 n 55 n (n - 3) 120 n (n - 3) 124 n (n - 3) 48 n (n - 3) + -------------- - --------------- + --------------- - -------------- n 5 n 5 n 5 n 5 n (n - 3) n (n - 3) n (n - 3) n (n - 3) and in Maple notation 2*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^3-12*n^11*((n-1)^n)^3/(n-1)^9/(n^n)^3+24*n^10* ((n-1)^n)^3/(n-1)^9/(n^n)^3-16*n^9*((n-1)^n)^3/(n-1)^9/(n^n)^3-3*n^8*((n-1)^n)^ 2/(n-1)^6/(n^n)^2+12*n^7*((n-1)^n)^2/(n-1)^6/(n^n)^2-3*n^10*(n-1)^n/(n-1)^3/(n^ n)^2*(n-2)^n/(n-2)^4+24*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^4-69*n^8*(n-1 )^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^4+84*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2 )^4-12*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2-36*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/( n-2)^4+1/(n^n)*n^4*(n-1)^n/(n-1)^3-2/(n^n)*n^3*(n-1)^n/(n-1)^3+3/(n^n)*n^6*(n-2 )^n/(n-2)^4-18/(n^n)*n^5*(n-2)^n/(n-2)^4+33/(n^n)*n^4*(n-2)^n/(n-2)^4-18/(n^n)* n^3*(n-2)^n/(n-2)^4+1/(n^n)*n^8*(n-3)^n/(n-3)^5-12/(n^n)*n^7*(n-3)^n/(n-3)^5+55 /(n^n)*n^6*(n-3)^n/(n-3)^5-120/(n^n)*n^5*(n-3)^n/(n-3)^5+124/(n^n)*n^4*(n-3)^n/ (n-3)^5-48/(n^n)*n^3*(n-3)^n/(n-3)^5 The, 4, -th moment about the mean of, X[2], is 10 n 9 n 8 n 7 n n (n - 4) 20 n (n - 4) 166 n (n - 4) 740 n (n - 4) ------------ - -------------- + --------------- - --------------- n 6 n 6 n 6 n 6 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 3 n 1909 n (n - 4) 2840 n (n - 4) 2244 n (n - 4) 720 n (n - 4) + ---------------- - ---------------- + ---------------- - --------------- n 6 n 6 n 6 n 6 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 16 n 4 15 n 4 14 n 4 3 n ((n - 1) ) 24 n ((n - 1) ) 72 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 12 n 4 12 n 4 12 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 4 12 n 4 14 n 2 n 96 n ((n - 1) ) 48 n ((n - 1) ) 6 n ((n - 1) ) (n - 2) + ------------------ - ------------------ + -------------------------- 12 n 4 12 n 4 6 n 3 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 60 n ((n - 1) ) (n - 2) 234 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 444 n ((n - 1) ) (n - 2) 408 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 12 n n 144 n ((n - 1) ) (n - 2) 4 n (n - 1) (n - 3) - --------------------------- - ----------------------- 6 n 3 4 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n n 10 n n 56 n (n - 1) (n - 3) 316 n (n - 1) (n - 3) + ------------------------ - ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 920 n (n - 1) (n - 3) 1456 n (n - 1) (n - 3) + ------------------------ - ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 8 n 1184 n (n - 1) (n - 3) 384 n (n - 1) (n - 3) 6 n (n - 3) + ------------------------- - ------------------------ + ------------- 3 n 2 5 3 n 2 5 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) n (n - 3) 7 n 6 n 5 n 4 n 72 n (n - 3) 330 n (n - 3) 720 n (n - 3) 744 n (n - 3) - -------------- + --------------- - --------------- + --------------- n 5 n 5 n 5 n 5 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 3 n 12 n 3 11 n 3 288 n (n - 3) 6 n ((n - 1) ) 36 n ((n - 1) ) - --------------- + ----------------- - ------------------ n 5 9 n 3 9 n 3 n (n - 3) (n - 1) (n ) (n - 1) (n ) 10 n 3 8 n 2 7 n 2 4 n 72 n ((n - 1) ) 4 n ((n - 1) ) 16 n ((n - 1) ) n (n - 1) + ------------------ - ---------------- + ----------------- + ----------- 9 n 3 6 n 2 6 n 2 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n (n - 1) 3 n 6 n 5 n 4 n 2 n (n - 1) 7 n (n - 2) 42 n (n - 2) 77 n (n - 2) - ------------- + ------------- - -------------- + -------------- n 3 n 4 n 4 n 4 n (n - 1) n (n - 2) n (n - 2) n (n - 2) 3 n 6 n 2 9 n 3 42 n (n - 2) 16 n ((n - 1) ) 48 n ((n - 1) ) - -------------- - ----------------- - ----------------- n 4 6 n 2 9 n 3 n (n - 2) (n - 1) (n ) (n - 1) (n ) 10 n n 9 n n 12 n (n - 1) (n - 2) 96 n (n - 1) (n - 2) - ------------------------ + ----------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 276 n (n - 1) (n - 2) 336 n (n - 1) (n - 2) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 144 n (n - 1) (n - 2) - ------------------------ 3 n 2 4 (n - 1) (n ) (n - 2) and in Maple notation 1/(n^n)*n^10*(n-4)^n/(n-4)^6-20/(n^n)*n^9*(n-4)^n/(n-4)^6+166/(n^n)*n^8*(n-4)^n /(n-4)^6-740/(n^n)*n^7*(n-4)^n/(n-4)^6+1909/(n^n)*n^6*(n-4)^n/(n-4)^6-2840/(n^n )*n^5*(n-4)^n/(n-4)^6+2244/(n^n)*n^4*(n-4)^n/(n-4)^6-720/(n^n)*n^3*(n-4)^n/(n-4 )^6-3*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^4+24*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^4-72 *n^14*((n-1)^n)^4/(n-1)^12/(n^n)^4+96*n^13*((n-1)^n)^4/(n-1)^12/(n^n)^4-48*n^12 *((n-1)^n)^4/(n-1)^12/(n^n)^4+6*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^ 4-60*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+234*n^12*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-2)^n/(n-2)^4-444*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^ 4+408*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-144*n^9*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-2)^n/(n-2)^4-4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^5+56*n ^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^5-316*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n -3)^n/(n-3)^5+920*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^5-1456*n^8*(n-1)^n/ (n-1)^3/(n^n)^2*(n-3)^n/(n-3)^5+1184*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 5-384*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^5+6/(n^n)*n^8*(n-3)^n/(n-3)^5-\ 72/(n^n)*n^7*(n-3)^n/(n-3)^5+330/(n^n)*n^6*(n-3)^n/(n-3)^5-720/(n^n)*n^5*(n-3)^ n/(n-3)^5+744/(n^n)*n^4*(n-3)^n/(n-3)^5-288/(n^n)*n^3*(n-3)^n/(n-3)^5+6*n^12*(( n-1)^n)^3/(n-1)^9/(n^n)^3-36*n^11*((n-1)^n)^3/(n-1)^9/(n^n)^3+72*n^10*((n-1)^n) ^3/(n-1)^9/(n^n)^3-4*n^8*((n-1)^n)^2/(n-1)^6/(n^n)^2+16*n^7*((n-1)^n)^2/(n-1)^6 /(n^n)^2+1/(n^n)*n^4*(n-1)^n/(n-1)^3-2/(n^n)*n^3*(n-1)^n/(n-1)^3+7/(n^n)*n^6*(n -2)^n/(n-2)^4-42/(n^n)*n^5*(n-2)^n/(n-2)^4+77/(n^n)*n^4*(n-2)^n/(n-2)^4-42/(n^n )*n^3*(n-2)^n/(n-2)^4-16*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2-48*n^9*((n-1)^n)^3/(n-\ 1)^9/(n^n)^3-12*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^4+96*n^9*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-2)^n/(n-2)^4-276*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^4+ 336*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^4-144*n^6*(n-1)^n/(n-1)^3/(n^n)^2 *(n-2)^n/(n-2)^4 Also the limits of the scaled moments about the mean up to the, 8, are [1, 3, 15, 105] that are the same as those of the Normal distribution, proving asympotic nor\ mality up to the, 8, moment. ----------------------------------------------------------------------------\ --- The variance of, X[3], is 10 n 2 9 n 2 8 n 2 7 n 2 n ((n - 1) ) 5 n ((n - 1) ) 37 n ((n - 1) ) 15 n ((n - 1) ) - ---------------- + ---------------- - ----------------- + ----------------- 8 n 2 8 n 2 8 n 2 8 n 2 4 (n - 1) (n ) 2 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 6 n 2 5 n 4 n 3 n 9 n ((n - 1) ) n (n - 1) 5 n (n - 1) 3 n (n - 1) - ---------------- + ------------- - ------------- + ------------- 8 n 2 n 4 n 4 n 4 (n - 1) (n ) 2 n (n - 1) 2 n (n - 1) n (n - 1) 8 n 7 n 6 n 5 n n (n - 2) 15 n (n - 2) 85 n (n - 2) 225 n (n - 2) + ------------- - -------------- + -------------- - --------------- n 6 n 6 n 6 n 6 4 n (n - 2) 4 n (n - 2) 4 n (n - 2) 4 n (n - 2) 4 n 3 n 137 n (n - 2) 30 n (n - 2) + --------------- - -------------- n 6 n 6 2 n (n - 2) n (n - 2) and in Maple notation -1/4*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+5/2*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^2-37/4* n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+15*n^7*((n-1)^n)^2/(n-1)^8/(n^n)^2-9*n^6*((n-1) ^n)^2/(n-1)^8/(n^n)^2+1/2/(n^n)*n^5*(n-1)^n/(n-1)^4-5/2/(n^n)*n^4*(n-1)^n/(n-1) ^4+3/(n^n)*n^3*(n-1)^n/(n-1)^4+1/4/(n^n)*n^8*(n-2)^n/(n-2)^6-15/4/(n^n)*n^7*(n-\ 2)^n/(n-2)^6+85/4/(n^n)*n^6*(n-2)^n/(n-2)^6-225/4/(n^n)*n^5*(n-2)^n/(n-2)^6+137 /2/(n^n)*n^4*(n-2)^n/(n-2)^6-30/(n^n)*n^3*(n-2)^n/(n-2)^6 The, 3, -th moment about the mean of, X[3], is 15 n 3 14 n 3 13 n 3 n ((n - 1) ) 15 n ((n - 1) ) 93 n ((n - 1) ) ----------------- - ------------------ + ------------------ 12 n 3 12 n 3 12 n 3 4 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 305 n ((n - 1) ) 279 n ((n - 1) ) 135 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 12 n 3 12 n 3 12 n 3 4 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 11 n 10 n 9 n 8 n n (n - 3) 15 n (n - 3) 189 n (n - 3) 651 n (n - 3) + ------------- - --------------- + --------------- - --------------- n 8 n 8 n 8 n 8 8 n (n - 3) 4 n (n - 3) 4 n (n - 3) 2 n (n - 3) 7 n 6 n 5 n 10689 n (n - 3) 13335 n (n - 3) 9833 n (n - 3) + ----------------- - ----------------- + ---------------- n 8 n 8 n 8 8 n (n - 3) 4 n (n - 3) 2 n (n - 3) 4 n 3 n 10 n 2 3897 n (n - 3) 1260 n (n - 3) 3 n ((n - 1) ) - ---------------- + ---------------- - ----------------- n 8 n 8 8 n 2 n (n - 3) n (n - 3) 4 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 15 n ((n - 1) ) 111 n ((n - 1) ) 45 n ((n - 1) ) + ----------------- - ------------------ + ----------------- 8 n 2 8 n 2 8 n 2 2 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 5 n 4 n 3 n 8 n n (n - 1) 5 n (n - 1) 3 n (n - 1) 3 n (n - 2) + ------------- - ------------- + ------------- + ------------- n 4 n 4 n 4 n 6 2 n (n - 1) 2 n (n - 1) n (n - 1) 4 n (n - 2) 7 n 6 n 5 n 4 n 45 n (n - 2) 255 n (n - 2) 675 n (n - 2) 411 n (n - 2) - -------------- + --------------- - --------------- + --------------- n 6 n 6 n 6 n 6 4 n (n - 2) 4 n (n - 2) 4 n (n - 2) 2 n (n - 2) 3 n 13 n n 12 n n 90 n (n - 2) 3 n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - -------------- - ------------------------- + ------------------------- n 6 4 n 2 6 4 n 2 6 n (n - 2) 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 11 n n 10 n n 249 n (n - 1) (n - 2) 555 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 5727 n (n - 1) (n - 2) 1065 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 6 n 2 1683 n (n - 1) (n - 2) 270 n (n - 1) (n - 2) 27 n ((n - 1) ) - ------------------------- + ------------------------ - ----------------- 4 n 2 6 4 n 2 6 8 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 9 n 3 54 n ((n - 1) ) + ----------------- 12 n 3 (n - 1) (n ) and in Maple notation 1/4*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^3-15/4*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^3+93 /4*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^3-305/4*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^3+ 279/2*n^11*((n-1)^n)^3/(n-1)^12/(n^n)^3-135*n^10*((n-1)^n)^3/(n-1)^12/(n^n)^3+1 /8/(n^n)*n^11*(n-3)^n/(n-3)^8-15/4/(n^n)*n^10*(n-3)^n/(n-3)^8+189/4/(n^n)*n^9*( n-3)^n/(n-3)^8-651/2/(n^n)*n^8*(n-3)^n/(n-3)^8+10689/8/(n^n)*n^7*(n-3)^n/(n-3)^ 8-13335/4/(n^n)*n^6*(n-3)^n/(n-3)^8+9833/2/(n^n)*n^5*(n-3)^n/(n-3)^8-3897/(n^n) *n^4*(n-3)^n/(n-3)^8+1260/(n^n)*n^3*(n-3)^n/(n-3)^8-3/4*n^10*((n-1)^n)^2/(n-1)^ 8/(n^n)^2+15/2*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^2-111/4*n^8*((n-1)^n)^2/(n-1)^8/(n ^n)^2+45*n^7*((n-1)^n)^2/(n-1)^8/(n^n)^2+1/2/(n^n)*n^5*(n-1)^n/(n-1)^4-5/2/(n^n )*n^4*(n-1)^n/(n-1)^4+3/(n^n)*n^3*(n-1)^n/(n-1)^4+3/4/(n^n)*n^8*(n-2)^n/(n-2)^6 -45/4/(n^n)*n^7*(n-2)^n/(n-2)^6+255/4/(n^n)*n^6*(n-2)^n/(n-2)^6-675/4/(n^n)*n^5 *(n-2)^n/(n-2)^6+411/2/(n^n)*n^4*(n-2)^n/(n-2)^6-90/(n^n)*n^3*(n-2)^n/(n-2)^6-3 /8*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6+15/2*n^12*(n-1)^n/(n-1)^4/(n^n) ^2*(n-2)^n/(n-2)^6-249/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6+555/2*n^ 10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6-5727/8*n^9*(n-1)^n/(n-1)^4/(n^n)^2*( n-2)^n/(n-2)^6+1065*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6-1683/2*n^7*(n-1 )^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6+270*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-\ 2)^6-27*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2+54*n^9*((n-1)^n)^3/(n-1)^12/(n^n)^3 The, 4, -th moment about the mean of, X[3], is 16 n 2 n 15 n 2 n 102 n ((n - 1) ) (n - 2) 2535 n ((n - 1) ) (n - 2) ---------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 19815 n ((n - 1) ) (n - 2) 50475 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 41847 n ((n - 1) ) (n - 2) 21735 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 6399 n ((n - 1) ) (n - 2) 1620 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 3 n ((n - 1) ) (n - 2) 75 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n n 13 n n 267 n (n - 1) (n - 3) 2337 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 25977 n (n - 1) (n - 3) 95739 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 10 n n 9 n n 59204 n (n - 1) (n - 3) 96964 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 100488 n (n - 1) (n - 3) 59364 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n n 15120 n (n - 1) (n - 3) n (n - 1) (n - 3) - -------------------------- - ------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n n 15 n 3 14 n 3 35 n (n - 1) (n - 3) 3 n ((n - 1) ) 45 n ((n - 1) ) + ------------------------- + ----------------- - ------------------ 4 n 2 8 12 n 3 12 n 3 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) 4 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 279 n ((n - 1) ) 915 n ((n - 1) ) 837 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 12 n 3 12 n 3 12 n 3 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 11 n 10 n 9 n 405 n ((n - 1) ) 3 n (n - 3) 45 n (n - 3) 567 n (n - 3) - ------------------- + -------------- - --------------- + --------------- 12 n 3 n 8 n 8 n 8 (n - 1) (n ) 4 n (n - 3) 2 n (n - 3) 2 n (n - 3) 8 n 7 n 6 n 1953 n (n - 3) 32067 n (n - 3) 40005 n (n - 3) - ---------------- + ----------------- - ----------------- n 8 n 8 n 8 n (n - 3) 4 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 29499 n (n - 3) 23382 n (n - 3) 7560 n (n - 3) + ----------------- - ----------------- + ---------------- n 8 n 8 n 8 n (n - 3) n (n - 3) n (n - 3) 12 n 4 10 n 2 9 n 2 243 n ((n - 1) ) n ((n - 1) ) 10 n ((n - 1) ) - ------------------- - --------------- + ----------------- 16 n 4 8 n 2 8 n 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 8 n 2 7 n 2 5 n 4 n 37 n ((n - 1) ) 60 n ((n - 1) ) n (n - 1) 5 n (n - 1) - ----------------- + ----------------- + ------------- - ------------- 8 n 2 8 n 2 n 4 n 4 (n - 1) (n ) (n - 1) (n ) 2 n (n - 1) 2 n (n - 1) 3 n 8 n 7 n 6 n 3 n (n - 1) 7 n (n - 2) 105 n (n - 2) 595 n (n - 2) + ------------- + ------------- - --------------- + --------------- n 4 n 6 n 6 n 6 n (n - 1) 4 n (n - 2) 4 n (n - 2) 4 n (n - 2) 5 n 4 n 3 n 1575 n (n - 2) 959 n (n - 2) 210 n (n - 2) - ---------------- + --------------- - --------------- n 6 n 6 n 6 4 n (n - 2) 2 n (n - 2) n (n - 2) 13 n n 12 n n 3 n (n - 1) (n - 2) 30 n (n - 1) (n - 2) - ------------------------- + ------------------------ 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 19 n 4 18 n 4 3 n ((n - 1) ) 15 n ((n - 1) ) 261 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 16 n 4 16 n 4 16 n 4 16 (n - 1) (n ) 4 (n - 1) (n ) 8 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 645 n ((n - 1) ) 7923 n ((n - 1) ) 1935 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 16 n 4 16 n 4 16 n 4 4 (n - 1) (n ) 16 (n - 1) (n ) 2 (n - 1) (n ) 14 n 4 13 n 4 14 n 2349 n ((n - 1) ) 810 n ((n - 1) ) n (n - 4) - -------------------- + ------------------- + --------------- 16 n 4 16 n 4 n 10 2 (n - 1) (n ) (n - 1) (n ) 16 n (n - 4) 13 n 12 n 11 n 25 n (n - 4) 1101 n (n - 4) 7035 n (n - 4) - --------------- + ----------------- - ----------------- n 10 n 10 n 10 8 n (n - 4) 16 n (n - 4) 8 n (n - 4) 10 n 9 n 8 n 115743 n (n - 4) 321195 n (n - 4) 2449943 n (n - 4) + ------------------- - ------------------ + ------------------- n 10 n 10 n 10 16 n (n - 4) 8 n (n - 4) 16 n (n - 4) 7 n 6 n 5 n 3203525 n (n - 4) 2808039 n (n - 4) 1566495 n (n - 4) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 8 n (n - 4) 4 n (n - 4) 2 n (n - 4) 4 n 3 n 11 n n 498366 n (n - 4) 136080 n (n - 4) 249 n (n - 1) (n - 2) + ------------------ - ------------------ - ------------------------- n 10 n 10 4 n 2 6 n (n - 4) n (n - 4) (n - 1) (n ) (n - 2) 10 n n 9 n n 1110 n (n - 1) (n - 2) 5727 n (n - 1) (n - 2) + -------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 4260 n (n - 1) (n - 2) 3366 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 6 n 2 9 n 3 1080 n (n - 1) (n - 2) 36 n ((n - 1) ) 162 n ((n - 1) ) + ------------------------- - ----------------- + ------------------ 4 n 2 6 8 n 2 12 n 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) and in Maple notation 102*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-2535/4*n^15*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-2)^n/(n-2)^6+19815/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/ (n-2)^6-50475/8*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+41847/4*n^12*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-21735/2*n^11*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^6+6399*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1620 *n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+3/8*n^18*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^6-75/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-\ 267/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^8+2337/2*n^13*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^8-25977/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^8+ 95739/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^8-59204*n^10*(n-1)^n/(n-1)^4 /(n^n)^2*(n-3)^n/(n-3)^8+96964*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^8-\ 100488*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^8+59364*n^7*(n-1)^n/(n-1)^4/(n ^n)^2*(n-3)^n/(n-3)^8-15120*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^8-1/4*n^ 16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^8+35/4*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n -3)^n/(n-3)^8+3/4*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^3-45/4*n^14*((n-1)^n)^3/(n-1) ^12/(n^n)^3+279/4*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^3-915/4*n^12*((n-1)^n)^3/(n-1 )^12/(n^n)^3+837/2*n^11*((n-1)^n)^3/(n-1)^12/(n^n)^3-405*n^10*((n-1)^n)^3/(n-1) ^12/(n^n)^3+3/4/(n^n)*n^11*(n-3)^n/(n-3)^8-45/2/(n^n)*n^10*(n-3)^n/(n-3)^8+567/ 2/(n^n)*n^9*(n-3)^n/(n-3)^8-1953/(n^n)*n^8*(n-3)^n/(n-3)^8+32067/4/(n^n)*n^7*(n -3)^n/(n-3)^8-40005/2/(n^n)*n^6*(n-3)^n/(n-3)^8+29499/(n^n)*n^5*(n-3)^n/(n-3)^8 -23382/(n^n)*n^4*(n-3)^n/(n-3)^8+7560/(n^n)*n^3*(n-3)^n/(n-3)^8-243*n^12*((n-1) ^n)^4/(n-1)^16/(n^n)^4-n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+10*n^9*((n-1)^n)^2/(n-1 )^8/(n^n)^2-37*n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+60*n^7*((n-1)^n)^2/(n-1)^8/(n^n) ^2+1/2/(n^n)*n^5*(n-1)^n/(n-1)^4-5/2/(n^n)*n^4*(n-1)^n/(n-1)^4+3/(n^n)*n^3*(n-1 )^n/(n-1)^4+7/4/(n^n)*n^8*(n-2)^n/(n-2)^6-105/4/(n^n)*n^7*(n-2)^n/(n-2)^6+595/4 /(n^n)*n^6*(n-2)^n/(n-2)^6-1575/4/(n^n)*n^5*(n-2)^n/(n-2)^6+959/2/(n^n)*n^4*(n-\ 2)^n/(n-2)^6-210/(n^n)*n^3*(n-2)^n/(n-2)^6-3/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 2)^n/(n-2)^6+30*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6-3/16*n^20*((n-1)^n )^4/(n-1)^16/(n^n)^4+15/4*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^4-261/8*n^18*((n-1)^n )^4/(n-1)^16/(n^n)^4+645/4*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^4-7923/16*n^16*((n-1 )^n)^4/(n-1)^16/(n^n)^4+1935/2*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^4-2349/2*n^14*(( n-1)^n)^4/(n-1)^16/(n^n)^4+810*n^13*((n-1)^n)^4/(n-1)^16/(n^n)^4+1/16/(n^n)*n^ 14*(n-4)^n/(n-4)^10-25/8/(n^n)*n^13*(n-4)^n/(n-4)^10+1101/16/(n^n)*n^12*(n-4)^n /(n-4)^10-7035/8/(n^n)*n^11*(n-4)^n/(n-4)^10+115743/16/(n^n)*n^10*(n-4)^n/(n-4) ^10-321195/8/(n^n)*n^9*(n-4)^n/(n-4)^10+2449943/16/(n^n)*n^8*(n-4)^n/(n-4)^10-\ 3203525/8/(n^n)*n^7*(n-4)^n/(n-4)^10+2808039/4/(n^n)*n^6*(n-4)^n/(n-4)^10-\ 1566495/2/(n^n)*n^5*(n-4)^n/(n-4)^10+498366/(n^n)*n^4*(n-4)^n/(n-4)^10-136080/( n^n)*n^3*(n-4)^n/(n-4)^10-249*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6+1110 *n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6-5727/2*n^9*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-2)^n/(n-2)^6+4260*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6-3366*n^7*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^6+1080*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/( n-2)^6-36*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2+162*n^9*((n-1)^n)^3/(n-1)^12/(n^n)^3 Also the limits of the scaled moments about the mean up to the, 8, are [1, 3, 15, 105] that are the same as those of the Normal distribution, proving asympotic nor\ mality up to the, 8, moment. ----------------------------------------------------------------------------\ --- The variance of, X[4], is 12 n 2 11 n 2 10 n 2 n ((n - 1) ) n ((n - 1) ) 133 n ((n - 1) ) - ------------------ + ----------------- - ------------------- 10 n 2 10 n 2 10 n 2 36 (n - 1) (n ) 2 (n - 1) (n ) 36 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 43 n ((n - 1) ) 277 n ((n - 1) ) 104 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 10 n 2 10 n 2 10 n 2 3 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 6 n 2 6 n 5 n 4 n 16 n ((n - 1) ) n (n - 1) 3 n (n - 1) 13 n (n - 1) - ----------------- + ------------- - ------------- + -------------- 10 n 2 n 5 n 5 n 5 (n - 1) (n ) 6 n (n - 1) 2 n (n - 1) 3 n (n - 1) 3 n 10 n 9 n 8 n 4 n (n - 1) n (n - 2) 7 n (n - 2) 161 n (n - 2) - ------------- + -------------- - ------------- + --------------- n 5 n 8 n 8 n 8 n (n - 1) 36 n (n - 2) 9 n (n - 2) 18 n (n - 2) 7 n 6 n 5 n 4 n 490 n (n - 2) 6769 n (n - 2) 3283 n (n - 2) 363 n (n - 2) - --------------- + ---------------- - ---------------- + --------------- n 8 n 8 n 8 n 8 9 n (n - 2) 36 n (n - 2) 9 n (n - 2) n (n - 2) 3 n 140 n (n - 2) - --------------- n 8 n (n - 2) and in Maple notation -1/36*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^2+1/2*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^2-\ 133/36*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^2+43/3*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^2-\ 277/9*n^8*((n-1)^n)^2/(n-1)^10/(n^n)^2+104/3*n^7*((n-1)^n)^2/(n-1)^10/(n^n)^2-\ 16*n^6*((n-1)^n)^2/(n-1)^10/(n^n)^2+1/6/(n^n)*n^6*(n-1)^n/(n-1)^5-3/2/(n^n)*n^5 *(n-1)^n/(n-1)^5+13/3/(n^n)*n^4*(n-1)^n/(n-1)^5-4/(n^n)*n^3*(n-1)^n/(n-1)^5+1/ 36/(n^n)*n^10*(n-2)^n/(n-2)^8-7/9/(n^n)*n^9*(n-2)^n/(n-2)^8+161/18/(n^n)*n^8*(n -2)^n/(n-2)^8-490/9/(n^n)*n^7*(n-2)^n/(n-2)^8+6769/36/(n^n)*n^6*(n-2)^n/(n-2)^8 -3283/9/(n^n)*n^5*(n-2)^n/(n-2)^8+363/(n^n)*n^4*(n-2)^n/(n-2)^8-140/(n^n)*n^3*( n-2)^n/(n-2)^8 The, 3, -th moment about the mean of, X[4], is 16 n n 15 n n n (n - 1) (n - 2) 37 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 14 n n 13 n n 25 n (n - 1) (n - 2) 935 n (n - 1) (n - 2) - ------------------------- + -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 12 n n 11 n n 3717 n (n - 1) (n - 2) 14749 n (n - 1) (n - 2) - -------------------------- + --------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 10 n n 9 n n 177145 n (n - 1) (n - 2) 156635 n (n - 1) (n - 2) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 8 n n 7 n n 29179 n (n - 1) (n - 2) 6176 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 12 n 2 11 n 2 1680 n (n - 1) (n - 2) n ((n - 1) ) 3 n ((n - 1) ) - ------------------------- - ------------------ + ----------------- 5 n 2 8 10 n 2 10 n 2 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) 2 (n - 1) (n ) 10 n 2 9 n 2 8 n 2 133 n ((n - 1) ) 43 n ((n - 1) ) 277 n ((n - 1) ) - ------------------- + ----------------- - ------------------ 10 n 2 10 n 2 10 n 2 12 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 7 n 2 6 n 5 n 4 n 104 n ((n - 1) ) n (n - 1) 3 n (n - 1) 13 n (n - 1) + ------------------ + ------------- - ------------- + -------------- 10 n 2 n 5 n 5 n 5 (n - 1) (n ) 6 n (n - 1) 2 n (n - 1) 3 n (n - 1) 3 n 10 n 9 n 8 n 4 n (n - 1) n (n - 2) 7 n (n - 2) 161 n (n - 2) - ------------- + -------------- - ------------- + --------------- n 5 n 8 n 8 n 8 n (n - 1) 12 n (n - 2) 3 n (n - 2) 6 n (n - 2) 7 n 6 n 5 n 4 n 490 n (n - 2) 6769 n (n - 2) 3283 n (n - 2) 1089 n (n - 2) - --------------- + ---------------- - ---------------- + ---------------- n 8 n 8 n 8 n 8 3 n (n - 2) 12 n (n - 2) 3 n (n - 2) n (n - 2) 3 n 9 n 3 18 n 3 420 n (n - 2) 128 n ((n - 1) ) n ((n - 1) ) - --------------- - ------------------ + ------------------- n 8 15 n 3 15 n 3 n (n - 2) (n - 1) (n ) 108 (n - 1) (n ) 17 n 3 16 n 3 15 n 3 n ((n - 1) ) 107 n ((n - 1) ) 245 n ((n - 1) ) - ----------------- + ------------------- - ------------------- 15 n 3 15 n 3 15 n 3 4 (n - 1) (n ) 36 (n - 1) (n ) 12 (n - 1) (n ) 14 n 3 13 n 3 12 n 3 1607 n ((n - 1) ) 773 n ((n - 1) ) 13250 n ((n - 1) ) + -------------------- - ------------------- + --------------------- 15 n 3 15 n 3 15 n 3 18 (n - 1) (n ) 3 (n - 1) (n ) 27 (n - 1) (n ) 11 n 3 10 n 3 14 n 1784 n ((n - 1) ) 416 n ((n - 1) ) n (n - 3) - -------------------- + ------------------- + ---------------- 15 n 3 15 n 3 n 11 3 (n - 1) (n ) (n - 1) (n ) 216 n (n - 3) 13 n 12 n 11 n 19 n (n - 3) 715 n (n - 3) 385 n (n - 3) - --------------- + ---------------- - ---------------- n 11 n 11 n 11 72 n (n - 3) 108 n (n - 3) 4 n (n - 3) 10 n 9 n 8 n 64691 n (n - 3) 135289 n (n - 3) 652630 n (n - 3) + ------------------ - ------------------ + ------------------ n 11 n 11 n 11 72 n (n - 3) 24 n (n - 3) 27 n (n - 3) 7 n 6 n 5 n 635140 n (n - 3) 3696572 n (n - 3) 501886 n (n - 3) - ------------------ + ------------------- - ------------------ n 11 n 11 n 11 9 n (n - 3) 27 n (n - 3) 3 n (n - 3) 4 n 3 n 6 n 2 345640 n (n - 3) 33600 n (n - 3) 48 n ((n - 1) ) + ------------------ - ----------------- - ----------------- n 11 n 11 10 n 2 3 n (n - 3) n (n - 3) (n - 1) (n ) and in Maple notation -1/72*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8+37/72*n^15*(n-1)^n/(n-1)^5/( n^n)^2*(n-2)^n/(n-2)^8-25/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8+935/12 *n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8-3717/8*n^12*(n-1)^n/(n-1)^5/(n^n) ^2*(n-2)^n/(n-2)^8+14749/8*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8-177145/ 36*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8+156635/18*n^9*(n-1)^n/(n-1)^5/( n^n)^2*(n-2)^n/(n-2)^8-29179/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8+6176 *n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8-1680*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-2)^n/(n-2)^8-1/12*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^2+3/2*n^11*((n-1)^n)^2/(n-1 )^10/(n^n)^2-133/12*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^2+43*n^9*((n-1)^n)^2/(n-1)^ 10/(n^n)^2-277/3*n^8*((n-1)^n)^2/(n-1)^10/(n^n)^2+104*n^7*((n-1)^n)^2/(n-1)^10/ (n^n)^2+1/6/(n^n)*n^6*(n-1)^n/(n-1)^5-3/2/(n^n)*n^5*(n-1)^n/(n-1)^5+13/3/(n^n)* n^4*(n-1)^n/(n-1)^5-4/(n^n)*n^3*(n-1)^n/(n-1)^5+1/12/(n^n)*n^10*(n-2)^n/(n-2)^8 -7/3/(n^n)*n^9*(n-2)^n/(n-2)^8+161/6/(n^n)*n^8*(n-2)^n/(n-2)^8-490/3/(n^n)*n^7* (n-2)^n/(n-2)^8+6769/12/(n^n)*n^6*(n-2)^n/(n-2)^8-3283/3/(n^n)*n^5*(n-2)^n/(n-2 )^8+1089/(n^n)*n^4*(n-2)^n/(n-2)^8-420/(n^n)*n^3*(n-2)^n/(n-2)^8-128*n^9*((n-1) ^n)^3/(n-1)^15/(n^n)^3+1/108*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^3-1/4*n^17*((n-1)^ n)^3/(n-1)^15/(n^n)^3+107/36*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^3-245/12*n^15*((n-\ 1)^n)^3/(n-1)^15/(n^n)^3+1607/18*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^3-773/3*n^13*( (n-1)^n)^3/(n-1)^15/(n^n)^3+13250/27*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^3-1784/3*n ^11*((n-1)^n)^3/(n-1)^15/(n^n)^3+416*n^10*((n-1)^n)^3/(n-1)^15/(n^n)^3+1/216/(n ^n)*n^14*(n-3)^n/(n-3)^11-19/72/(n^n)*n^13*(n-3)^n/(n-3)^11+715/108/(n^n)*n^12* (n-3)^n/(n-3)^11-385/4/(n^n)*n^11*(n-3)^n/(n-3)^11+64691/72/(n^n)*n^10*(n-3)^n/ (n-3)^11-135289/24/(n^n)*n^9*(n-3)^n/(n-3)^11+652630/27/(n^n)*n^8*(n-3)^n/(n-3) ^11-635140/9/(n^n)*n^7*(n-3)^n/(n-3)^11+3696572/27/(n^n)*n^6*(n-3)^n/(n-3)^11-\ 501886/3/(n^n)*n^5*(n-3)^n/(n-3)^11+345640/3/(n^n)*n^4*(n-3)^n/(n-3)^11-33600/( n^n)*n^3*(n-3)^n/(n-3)^11-48*n^6*((n-1)^n)^2/(n-1)^10/(n^n)^2 The, 4, -th moment about the mean of, X[4], is 11 n 12 n 13 n 130511953 n (n - 4) 28403947 n (n - 4) 2049047 n (n - 4) - ---------------------- + --------------------- - -------------------- n 14 n 14 n 14 108 n (n - 4) 162 n (n - 4) 108 n (n - 4) 14 n 8 n 7 n 976157 n (n - 4) 5632436537 n (n - 4) 3914827189 n (n - 4) + ------------------- + ---------------------- - ---------------------- n 14 n 14 n 14 648 n (n - 4) 81 n (n - 4) 27 n (n - 4) 9 n 10 n 16 n 2615329717 n (n - 4) 8101053389 n (n - 4) 262 n (n - 4) - ---------------------- + ----------------------- + ---------------- n 14 n 14 n 14 108 n (n - 4) 1296 n (n - 4) 81 n (n - 4) 17 n 18 n 6 n 2 n (n - 4) n (n - 4) 211935851 n (n - 4) - --------------- + ----------------- + --------------------- n 14 n 14 n 14 27 n (n - 4) 1296 n (n - 4) n (n - 4) 5 n 4 n 15 n 613011848 n (n - 4) 115703440 n (n - 4) 9191 n (n - 4) - --------------------- + --------------------- - ----------------- n 14 n 14 n 14 3 n (n - 4) n (n - 4) 108 n (n - 4) 3 n 24 n 4 23 n 4 28828800 n (n - 4) n ((n - 1) ) n ((n - 1) ) - -------------------- - ------------------- + ------------------ n 14 20 n 4 20 n 4 n (n - 4) 432 (n - 1) (n ) 12 (n - 1) (n ) 22 n 4 21 n 4 20 n 4 295 n ((n - 1) ) 485 n ((n - 1) ) 12827 n ((n - 1) ) - ------------------- + ------------------- - --------------------- 20 n 4 20 n 4 20 n 4 216 (n - 1) (n ) 36 (n - 1) (n ) 144 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 2495 n ((n - 1) ) 75883 n ((n - 1) ) 10390 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 20 n 4 20 n 4 20 n 4 6 (n - 1) (n ) 54 (n - 1) (n ) 3 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 166801 n ((n - 1) ) 70000 n ((n - 1) ) 6560 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 20 n 4 20 n 4 20 n 4 27 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 13 n 4 12 n 4 3328 n ((n - 1) ) 768 n ((n - 1) ) + -------------------- - ------------------- 20 n 4 20 n 4 (n - 1) (n ) (n - 1) (n ) 19 n 2 n 18 n 2 n 2999 n ((n - 1) ) (n - 2) 11159 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 8 10 n 3 8 54 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 17 n 2 n 22 n 2 n 99013 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 21 n 2 n 20 n 2 n 23 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 3 8 10 n 3 8 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 2553377 n ((n - 1) ) (n - 2) 1008661 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 16 n n 15 n n n (n - 1) (n - 2) 37 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 14 n n 13 n n 100 n (n - 1) (n - 2) 935 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n n 11 n n 3717 n (n - 1) (n - 2) 14749 n (n - 1) (n - 2) - -------------------------- + --------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 177145 n (n - 1) (n - 2) 313270 n (n - 1) (n - 2) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 116716 n (n - 1) (n - 2) 24704 n (n - 1) (n - 2) - --------------------------- + -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 12 n 2 11 n 2 6720 n (n - 1) (n - 2) n ((n - 1) ) 2 n ((n - 1) ) - ------------------------- - ----------------- + ----------------- 5 n 2 8 10 n 2 10 n 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 1) (n ) 10 n 2 9 n 2 8 n 2 133 n ((n - 1) ) 172 n ((n - 1) ) 1108 n ((n - 1) ) - ------------------- + ------------------ - ------------------- 10 n 2 10 n 2 10 n 2 9 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 7 n 2 6 n 5 n 4 n 416 n ((n - 1) ) n (n - 1) 3 n (n - 1) 13 n (n - 1) + ------------------ + ------------- - ------------- + -------------- 10 n 2 n 5 n 5 n 5 3 (n - 1) (n ) 6 n (n - 1) 2 n (n - 1) 3 n (n - 1) 3 n 10 n 9 n 8 n 4 n (n - 1) 7 n (n - 2) 49 n (n - 2) 1127 n (n - 2) - ------------- + -------------- - -------------- + ---------------- n 5 n 8 n 8 n 8 n (n - 1) 36 n (n - 2) 9 n (n - 2) 18 n (n - 2) 7 n 6 n 5 n 3430 n (n - 2) 47383 n (n - 2) 22981 n (n - 2) - ---------------- + ----------------- - ----------------- n 8 n 8 n 8 9 n (n - 2) 36 n (n - 2) 9 n (n - 2) 4 n 3 n 14 n 2 n 2541 n (n - 2) 980 n (n - 2) 2342060 n ((n - 1) ) (n - 2) + ---------------- - --------------- + -------------------------------- n 8 n 8 10 n 3 8 n (n - 2) n (n - 2) 27 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 3942542 n ((n - 1) ) (n - 2) 1556986 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 136376 n ((n - 1) ) (n - 2) 63968 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n n 13440 n ((n - 1) ) (n - 2) 5861 n (n - 1) (n - 3) - ----------------------------- + --------------------------- 10 n 3 8 5 n 2 11 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 3) 16 n n 15 n n 419731 n (n - 1) (n - 3) 589853 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 14 n n 13 n n 21724307 n (n - 1) (n - 3) 16424683 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 12 n n 11 n n 82933070 n (n - 1) (n - 3) 68660108 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 5 n 2 11 5 n 2 11 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 10 n n 9 n n 371208956 n (n - 1) (n - 3) 156708728 n (n - 1) (n - 3) - ------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 8 n n 7 n n 43878208 n (n - 1) (n - 3) 7277440 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 6 n n 20 n n 537600 n (n - 1) (n - 3) n (n - 1) (n - 3) - --------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 19 n n 18 n n 11 n (n - 1) (n - 3) 1969 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 54 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 9 n 3 18 n 3 17 n 3 384 n ((n - 1) ) n ((n - 1) ) 3 n ((n - 1) ) - ------------------ + ------------------ - ----------------- 15 n 3 15 n 3 15 n 3 (n - 1) (n ) 36 (n - 1) (n ) 4 (n - 1) (n ) 16 n 3 15 n 3 14 n 3 107 n ((n - 1) ) 245 n ((n - 1) ) 1607 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 15 n 3 15 n 3 15 n 3 12 (n - 1) (n ) 4 (n - 1) (n ) 6 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 773 n ((n - 1) ) 13250 n ((n - 1) ) 1784 n ((n - 1) ) - ------------------- + --------------------- - -------------------- 15 n 3 15 n 3 15 n 3 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 10 n 3 14 n 13 n 1248 n ((n - 1) ) n (n - 3) 19 n (n - 3) + -------------------- + --------------- - --------------- 15 n 3 n 11 n 11 (n - 1) (n ) 36 n (n - 3) 12 n (n - 3) 12 n 11 n 10 n 715 n (n - 3) 1155 n (n - 3) 64691 n (n - 3) + ---------------- - ----------------- + ------------------ n 11 n 11 n 11 18 n (n - 3) 2 n (n - 3) 12 n (n - 3) 9 n 8 n 7 n 135289 n (n - 3) 1305260 n (n - 3) 1270280 n (n - 3) - ------------------ + ------------------- - ------------------- n 11 n 11 n 11 4 n (n - 3) 9 n (n - 3) 3 n (n - 3) 6 n 5 n 4 n 7393144 n (n - 3) 1003772 n (n - 3) 691280 n (n - 3) + ------------------- - ------------------- + ------------------ n 11 n 11 n 11 9 n (n - 3) n (n - 3) n (n - 3) 3 n 6 n 2 201600 n (n - 3) 64 n ((n - 1) ) - ------------------ - ----------------- n 11 10 n 2 n (n - 3) (n - 1) (n ) and in Maple notation -130511953/108/(n^n)*n^11*(n-4)^n/(n-4)^14+28403947/162/(n^n)*n^12*(n-4)^n/(n-4 )^14-2049047/108/(n^n)*n^13*(n-4)^n/(n-4)^14+976157/648/(n^n)*n^14*(n-4)^n/(n-4 )^14+5632436537/81/(n^n)*n^8*(n-4)^n/(n-4)^14-3914827189/27/(n^n)*n^7*(n-4)^n/( n-4)^14-2615329717/108/(n^n)*n^9*(n-4)^n/(n-4)^14+8101053389/1296/(n^n)*n^10*(n -4)^n/(n-4)^14+262/81/(n^n)*n^16*(n-4)^n/(n-4)^14-2/27/(n^n)*n^17*(n-4)^n/(n-4) ^14+1/1296/(n^n)*n^18*(n-4)^n/(n-4)^14+211935851/(n^n)*n^6*(n-4)^n/(n-4)^14-\ 613011848/3/(n^n)*n^5*(n-4)^n/(n-4)^14+115703440/(n^n)*n^4*(n-4)^n/(n-4)^14-\ 9191/108/(n^n)*n^15*(n-4)^n/(n-4)^14-28828800/(n^n)*n^3*(n-4)^n/(n-4)^14-1/432* n^24*((n-1)^n)^4/(n-1)^20/(n^n)^4+1/12*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^4-295/ 216*n^22*((n-1)^n)^4/(n-1)^20/(n^n)^4+485/36*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^4-\ 12827/144*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^4+2495/6*n^19*((n-1)^n)^4/(n-1)^20/(n ^n)^4-75883/54*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^4+10390/3*n^17*((n-1)^n)^4/(n-1) ^20/(n^n)^4-166801/27*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^4+70000/9*n^15*((n-1)^n)^ 4/(n-1)^20/(n^n)^4-6560*n^14*((n-1)^n)^4/(n-1)^20/(n^n)^4+3328*n^13*((n-1)^n)^4 /(n-1)^20/(n^n)^4-768*n^12*((n-1)^n)^4/(n-1)^20/(n^n)^4-2999/54*n^19*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8+11159/24*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-2)^n/(n-2)^8-99013/36*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8+1/216 *n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8-23/108*n^21*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-2)^n/(n-2)^8+959/216*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^8+2553377/216*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8-1008661/ 27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8-1/18*n^16*(n-1)^n/(n-1)^5/ (n^n)^2*(n-2)^n/(n-2)^8+37/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8-100/ 3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8+935/3*n^13*(n-1)^n/(n-1)^5/(n^n) ^2*(n-2)^n/(n-2)^8-3717/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8+14749/2* n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8-177145/9*n^10*(n-1)^n/(n-1)^5/(n^n )^2*(n-2)^n/(n-2)^8+313270/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8-116716 /3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8+24704*n^7*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-2)^n/(n-2)^8-6720*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^8-1/9*n^12*((n -1)^n)^2/(n-1)^10/(n^n)^2+2*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^2-133/9*n^10*((n-1) ^n)^2/(n-1)^10/(n^n)^2+172/3*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^2-1108/9*n^8*((n-1) ^n)^2/(n-1)^10/(n^n)^2+416/3*n^7*((n-1)^n)^2/(n-1)^10/(n^n)^2+1/6/(n^n)*n^6*(n-\ 1)^n/(n-1)^5-3/2/(n^n)*n^5*(n-1)^n/(n-1)^5+13/3/(n^n)*n^4*(n-1)^n/(n-1)^5-4/(n^ n)*n^3*(n-1)^n/(n-1)^5+7/36/(n^n)*n^10*(n-2)^n/(n-2)^8-49/9/(n^n)*n^9*(n-2)^n/( n-2)^8+1127/18/(n^n)*n^8*(n-2)^n/(n-2)^8-3430/9/(n^n)*n^7*(n-2)^n/(n-2)^8+47383 /36/(n^n)*n^6*(n-2)^n/(n-2)^8-22981/9/(n^n)*n^5*(n-2)^n/(n-2)^8+2541/(n^n)*n^4* (n-2)^n/(n-2)^8-980/(n^n)*n^3*(n-2)^n/(n-2)^8+2342060/27*n^14*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-2)^n/(n-2)^8-3942542/27*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^ n/(n-2)^8+1556986/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8-136376*n^ 11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8+63968*n^10*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-2)^n/(n-2)^8-13440*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^8 +5861/54*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11-419731/324*n^16*(n-1)^n/ (n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11+589853/54*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^11-21724307/324*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11+16424683/ 54*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11-82933070/81*n^12*(n-1)^n/(n-1) ^5/(n^n)^2*(n-3)^n/(n-3)^11+68660108/27*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^11-371208956/81*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11+156708728/27* n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11-43878208/9*n^8*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^11+7277440/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11-\ 537600*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11-1/324*n^20*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^11+11/54*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11-\ 1969/324*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^11-384*n^9*((n-1)^n)^3/(n-1 )^15/(n^n)^3+1/36*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^3-3/4*n^17*((n-1)^n)^3/(n-1)^ 15/(n^n)^3+107/12*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^3-245/4*n^15*((n-1)^n)^3/(n-1 )^15/(n^n)^3+1607/6*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^3-773*n^13*((n-1)^n)^3/(n-1 )^15/(n^n)^3+13250/9*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^3-1784*n^11*((n-1)^n)^3/(n -1)^15/(n^n)^3+1248*n^10*((n-1)^n)^3/(n-1)^15/(n^n)^3+1/36/(n^n)*n^14*(n-3)^n/( n-3)^11-19/12/(n^n)*n^13*(n-3)^n/(n-3)^11+715/18/(n^n)*n^12*(n-3)^n/(n-3)^11-\ 1155/2/(n^n)*n^11*(n-3)^n/(n-3)^11+64691/12/(n^n)*n^10*(n-3)^n/(n-3)^11-135289/ 4/(n^n)*n^9*(n-3)^n/(n-3)^11+1305260/9/(n^n)*n^8*(n-3)^n/(n-3)^11-1270280/3/(n^ n)*n^7*(n-3)^n/(n-3)^11+7393144/9/(n^n)*n^6*(n-3)^n/(n-3)^11-1003772/(n^n)*n^5* (n-3)^n/(n-3)^11+691280/(n^n)*n^4*(n-3)^n/(n-3)^11-201600/(n^n)*n^3*(n-3)^n/(n-\ 3)^11-64*n^6*((n-1)^n)^2/(n-1)^10/(n^n)^2 Also the limits of the scaled moments about the mean up to the, 8, are [1, 3, 15, 105] that are the same as those of the Normal distribution, proving asympotic nor\ mality up to the, 8, moment. ----------------------------------------------------------- We will now study how , X[1], and , X[2], intereact The, 1, 1, mixed moment of, X[1], and , X[2], is 7 n 2 6 n 2 n 5 n 4 n ((n - 1) ) 2 n ((n - 1) ) (n - 2) n 3 (n - 2) n - -------------- + ---------------- + ----------- - ------------- 5 n 2 5 n 2 3 n 3 n (n - 1) (n ) (n - 1) (n ) (n - 2) n (n - 2) n n 3 2 (n - 2) n + ------------- 3 n (n - 2) n and in Maple notation -n^7*((n-1)^n)^2/(n-1)^5/(n^n)^2+2*n^6*((n-1)^n)^2/(n-1)^5/(n^n)^2+(n-2)^n/(n-2 )^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3 The, 1, 2, mixed moment of, X[1], and , X[2], is 11 n 3 10 n 3 9 n 3 2 n ((n - 1) ) 8 n ((n - 1) ) 8 n ((n - 1) ) ----------------- - ----------------- + ---------------- 8 n 3 8 n 3 8 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 9 n n 8 n n 2 n (n - 1) (n - 2) 10 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 7 n 2 16 n (n - 1) (n - 2) 8 n (n - 1) (n - 2) n ((n - 1) ) - ----------------------- + ----------------------- - -------------- 3 n 2 3 3 n 2 3 5 n 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 6 n 2 9 n n 8 n n 2 n ((n - 1) ) n (n - 1) (n - 2) 6 n (n - 1) (n - 2) + ---------------- - ----------------------- + ----------------------- 5 n 2 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n n 5 11 n (n - 1) (n - 2) 6 n (n - 1) (n - 2) (n - 2) n - ----------------------- + ----------------------- + ----------- 2 n 2 4 2 n 2 4 3 n (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 2) n n 4 n 3 7 n 6 n 3 (n - 2) n 2 (n - 2) n n (n - 3) 8 n (n - 3) - ------------- + ------------- + ----------- - ------------- 3 n 3 n n 4 n 4 (n - 2) n (n - 2) n n (n - 3) n (n - 3) 5 n 4 n 3 n 23 n (n - 3) 28 n (n - 3) 12 n (n - 3) + -------------- - -------------- + -------------- n 4 n 4 n 4 n (n - 3) n (n - 3) n (n - 3) and in Maple notation 2*n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-8*n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+8*n^9*((n -1)^n)^3/(n-1)^8/(n^n)^3-2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+10*n^8*( n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-16*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/( n-2)^3+8*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-n^7*((n-1)^n)^2/(n-1)^5/(n ^n)^2+2*n^6*((n-1)^n)^2/(n-1)^5/(n^n)^2-n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-\ 2)^4+6*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-11*n^7*(n-1)^n/(n-1)^2/(n^n) ^2*(n-2)^n/(n-2)^4+6*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+(n-2)^n/(n-2)^ 3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3+1/(n^n)*n^7 *(n-3)^n/(n-3)^4-8/(n^n)*n^6*(n-3)^n/(n-3)^4+23/(n^n)*n^5*(n-3)^n/(n-3)^4-28/(n ^n)*n^4*(n-3)^n/(n-3)^4+12/(n^n)*n^3*(n-3)^n/(n-3)^4 The, 1, 3, mixed moment of, X[1], and , X[2], is 6 n 2 9 n 3 12 n 4 2 n ((n - 1) ) 12 n ((n - 1) ) 24 n ((n - 1) ) ---------------- + ----------------- + ------------------ 5 n 2 8 n 3 11 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 11 n n 10 n n n (n - 1) (n - 3) 12 n (n - 1) (n - 3) - ----------------------- + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 55 n (n - 1) (n - 3) 120 n (n - 1) (n - 3) - ----------------------- + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 124 n (n - 1) (n - 3) 48 n (n - 1) (n - 3) - ------------------------ + ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 3 n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 54 n ((n - 1) ) (n - 2) 60 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n 2 n 24 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + -------------------------- + -------------------------- 6 n 3 3 5 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 24 n ((n - 1) ) (n - 2) 69 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 84 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 3 n (n - 1) (n - 3) 30 n (n - 1) (n - 3) - ----------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 117 n (n - 1) (n - 3) 222 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 7 n 2 204 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) n ((n - 1) ) - ------------------------ + ----------------------- - -------------- 3 n 2 4 3 n 2 4 5 n 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 1) (n ) n 5 n 4 n 3 11 n 3 (n - 2) n 3 (n - 2) n 2 (n - 2) n 3 n ((n - 1) ) + ----------- - ------------- + ------------- + ----------------- 3 n 3 n 3 n 8 n 3 (n - 2) n (n - 2) n (n - 2) n (n - 1) (n ) 10 n 3 7 n 6 n 5 n 12 n ((n - 1) ) 3 n (n - 3) 24 n (n - 3) 69 n (n - 3) - ------------------ + ------------- - -------------- + -------------- 8 n 3 n 4 n 4 n 4 (n - 1) (n ) n (n - 3) n (n - 3) n (n - 3) 4 n 3 n 15 n 4 14 n 4 84 n (n - 3) 36 n (n - 3) 3 n ((n - 1) ) 18 n ((n - 1) ) - -------------- + -------------- - ----------------- + ------------------ n 4 n 4 11 n 4 11 n 4 n (n - 3) n (n - 3) (n - 1) (n ) (n - 1) (n ) 13 n 4 9 n 8 n 7 n 36 n ((n - 1) ) n (n - 4) 15 n (n - 4) 91 n (n - 4) - ------------------ + ----------- - -------------- + -------------- 11 n 4 n 5 n 5 n 5 (n - 1) (n ) n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 3 n 285 n (n - 4) 484 n (n - 4) 420 n (n - 4) 144 n (n - 4) - --------------- + --------------- - --------------- + --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 9 n n 8 n n 3 n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 24 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 3 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 33 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) and in Maple notation 2*n^6*((n-1)^n)^2/(n-1)^5/(n^n)^2+12*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3+24*n^12*(( n-1)^n)^4/(n-1)^11/(n^n)^4-n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+12*n^10 *(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-55*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n /(n-3)^5+120*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-124*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^5+48*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+3*n^13 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-21*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-2)^n/(n-2)^3+54*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-60*n^10*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+24*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-2)^n/(n-2)^3+3*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^4-24*n^12*((n-1 )^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^4+69*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2 )^n/(n-2)^4-84*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^4+36*n^9*((n-1)^n )^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^4-3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3 )^4+30*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-117*n^9*(n-1)^n/(n-1)^3/(n^ n)^2*(n-3)^n/(n-3)^4+222*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-204*n^7*(n -1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+72*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n -3)^4-n^7*((n-1)^n)^2/(n-1)^5/(n^n)^2+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2) ^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3+3*n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-12* n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+3/(n^n)*n^7*(n-3)^n/(n-3)^4-24/(n^n)*n^6*(n-3) ^n/(n-3)^4+69/(n^n)*n^5*(n-3)^n/(n-3)^4-84/(n^n)*n^4*(n-3)^n/(n-3)^4+36/(n^n)*n ^3*(n-3)^n/(n-3)^4-3*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^4+18*n^14*((n-1)^n)^4/(n-1 )^11/(n^n)^4-36*n^13*((n-1)^n)^4/(n-1)^11/(n^n)^4+1/(n^n)*n^9*(n-4)^n/(n-4)^5-\ 15/(n^n)*n^8*(n-4)^n/(n-4)^5+91/(n^n)*n^7*(n-4)^n/(n-4)^5-285/(n^n)*n^6*(n-4)^n /(n-4)^5+484/(n^n)*n^5*(n-4)^n/(n-4)^5-420/(n^n)*n^4*(n-4)^n/(n-4)^5+144/(n^n)* n^3*(n-4)^n/(n-4)^5-3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+15*n^8*(n-1)^ n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-24*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^ 3+12*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-3*n^9*(n-1)^n/(n-1)^2/(n^n)^2* (n-2)^n/(n-2)^4+18*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-33*n^7*(n-1)^n/( n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+18*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4 The, 1, 4, mixed moment of, X[1], and , X[2], is 6 n 2 9 n 3 15 n 5 12 n 4 2 n ((n - 1) ) 16 n ((n - 1) ) 64 n ((n - 1) ) 48 n ((n - 1) ) ---------------- + ----------------- + ------------------ + ------------------ 5 n 2 8 n 3 14 n 5 11 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 11 n n 10 n n 6 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) - ----------------------- + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 330 n (n - 1) (n - 3) 720 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 744 n (n - 1) (n - 3) 288 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 6 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 108 n ((n - 1) ) (n - 2) 120 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n 2 n 48 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) + -------------------------- + --------------------------- 6 n 3 3 5 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 96 n ((n - 1) ) (n - 2) 276 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 336 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 12 n (n - 1) (n - 3) 120 n (n - 1) (n - 3) - ------------------------ + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 468 n (n - 1) (n - 3) 888 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 7 n 2 816 n (n - 1) (n - 3) 288 n (n - 1) (n - 3) n ((n - 1) ) - ------------------------ + ------------------------ - -------------- 3 n 2 4 3 n 2 4 5 n 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 1) (n ) n 5 n 4 n 3 11 n 3 (n - 2) n 3 (n - 2) n 2 (n - 2) n 4 n ((n - 1) ) + ----------- - ------------- + ------------- + ----------------- 3 n 3 n 3 n 8 n 3 (n - 2) n (n - 2) n (n - 2) n (n - 1) (n ) 10 n 3 7 n 6 n 5 n 16 n ((n - 1) ) 7 n (n - 3) 56 n (n - 3) 161 n (n - 3) - ------------------ + ------------- - -------------- + --------------- 8 n 3 n 4 n 4 n 4 (n - 1) (n ) n (n - 3) n (n - 3) n (n - 3) 4 n 3 n 15 n 4 196 n (n - 3) 84 n (n - 3) 6 n ((n - 1) ) - --------------- + -------------- - ----------------- n 4 n 4 11 n 4 n (n - 3) n (n - 3) (n - 1) (n ) 14 n 4 13 n 4 9 n 8 n 36 n ((n - 1) ) 72 n ((n - 1) ) 6 n (n - 4) 90 n (n - 4) + ------------------ - ------------------ + ------------- - -------------- 11 n 4 11 n 4 n 5 n 5 (n - 1) (n ) (n - 1) (n ) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 546 n (n - 4) 1710 n (n - 4) 2904 n (n - 4) 2520 n (n - 4) + --------------- - ---------------- + ---------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 17 n 3 n 864 n (n - 4) 4 n ((n - 1) ) (n - 2) + --------------- - -------------------------- n 5 9 n 4 3 n (n - 4) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 36 n ((n - 1) ) (n - 2) 128 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 224 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 64 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 9 n 4 3 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 60 n ((n - 1) ) (n - 2) 234 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 444 n ((n - 1) ) (n - 2) 408 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 144 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 3) + ---------------------------- + -------------------------- 8 n 4 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 72 n ((n - 1) ) (n - 3) 354 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 912 n ((n - 1) ) (n - 3) 1296 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 960 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 4 n ((n - 1) ) (n - 3) 56 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 316 n ((n - 1) ) (n - 3) 920 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1456 n ((n - 1) ) (n - 3) 1184 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 384 n ((n - 1) ) (n - 3) 68 n (n - 1) (n - 4) + --------------------------- + ------------------------ 5 n 3 5 3 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 11 n n 10 n n 484 n (n - 1) (n - 4) 1868 n (n - 1) (n - 4) - ------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 4216 n (n - 1) (n - 4) 5552 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 3936 n (n - 1) (n - 4) 1152 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 13 n n 4 n (n - 1) (n - 4) n (n - 1) (n - 4) - ----------------------- - ----------------------- 3 n 2 5 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 20 n (n - 1) (n - 4) 166 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 740 n (n - 1) (n - 4) 1909 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 2840 n (n - 1) (n - 4) 2244 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 11 n 10 n 720 n (n - 1) (n - 4) n (n - 5) 24 n (n - 5) + ------------------------ + ------------ - --------------- 2 n 2 6 n 6 n 6 (n - 1) (n ) (n - 4) n (n - 5) n (n - 5) 9 n 8 n 7 n 246 n (n - 5) 1404 n (n - 5) 4869 n (n - 5) + --------------- - ---------------- + ---------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 10476 n (n - 5) 13604 n (n - 5) 9696 n (n - 5) - ----------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 3 n 19 n 5 18 n 5 2880 n (n - 5) 4 n ((n - 1) ) 32 n ((n - 1) ) + ---------------- + ----------------- - ------------------ n 6 14 n 5 14 n 5 n (n - 5) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 9 n n 96 n ((n - 1) ) 128 n ((n - 1) ) 4 n (n - 1) (n - 2) + ------------------ - ------------------- - ----------------------- 14 n 5 14 n 5 3 n 2 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 8 n n 7 n n 20 n (n - 1) (n - 2) 32 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n n 16 n (n - 1) (n - 2) 7 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 42 n (n - 1) (n - 2) 77 n (n - 1) (n - 2) + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 42 n (n - 1) (n - 2) + ----------------------- 2 n 2 4 (n - 1) (n ) (n - 2) and in Maple notation 2*n^6*((n-1)^n)^2/(n-1)^5/(n^n)^2+16*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3+64*n^15*(( n-1)^n)^5/(n-1)^14/(n^n)^5+48*n^12*((n-1)^n)^4/(n-1)^11/(n^n)^4-6*n^11*(n-1)^n/ (n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+72*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5 -330*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+720*n^8*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-3)^n/(n-3)^5-744*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+288*n^6*(n-1) ^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+6*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/( n-2)^3-42*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+108*n^11*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-120*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/( n-2)^3+48*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+12*n^13*((n-1)^n)^2/( n-1)^5/(n^n)^3*(n-2)^n/(n-2)^4-96*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2 )^4+276*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^4-336*n^10*((n-1)^n)^2/( n-1)^5/(n^n)^3*(n-2)^n/(n-2)^4+144*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2 )^4-12*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+120*n^10*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^4-468*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+888*n^8*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-816*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/ (n-3)^4+288*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-n^7*((n-1)^n)^2/(n-1)^5 /(n^n)^2+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^ 3/(n^n)*n^3+4*n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-16*n^10*((n-1)^n)^3/(n-1)^8/(n^n )^3+7/(n^n)*n^7*(n-3)^n/(n-3)^4-56/(n^n)*n^6*(n-3)^n/(n-3)^4+161/(n^n)*n^5*(n-3 )^n/(n-3)^4-196/(n^n)*n^4*(n-3)^n/(n-3)^4+84/(n^n)*n^3*(n-3)^n/(n-3)^4-6*n^15*( (n-1)^n)^4/(n-1)^11/(n^n)^4+36*n^14*((n-1)^n)^4/(n-1)^11/(n^n)^4-72*n^13*((n-1) ^n)^4/(n-1)^11/(n^n)^4+6/(n^n)*n^9*(n-4)^n/(n-4)^5-90/(n^n)*n^8*(n-4)^n/(n-4)^5 +546/(n^n)*n^7*(n-4)^n/(n-4)^5-1710/(n^n)*n^6*(n-4)^n/(n-4)^5+2904/(n^n)*n^5*(n -4)^n/(n-4)^5-2520/(n^n)*n^4*(n-4)^n/(n-4)^5+864/(n^n)*n^3*(n-4)^n/(n-4)^5-4*n^ 17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+36*n^16*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-2)^n/(n-2)^3-128*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+224*n^ 14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3-192*n^13*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-2)^n/(n-2)^3+64*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3-6*n^17 *((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+60*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^ 4*(n-2)^n/(n-2)^4-234*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+444*n^14 *((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-408*n^13*((n-1)^n)^3/(n-1)^8/(n^n) ^4*(n-2)^n/(n-2)^4+144*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+6*n^15* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-72*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-3)^n/(n-3)^4+354*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-912*n^12* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+1296*n^11*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-3)^n/(n-3)^4-960*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+288*n^9 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+4*n^15*((n-1)^n)^2/(n-1)^5/(n^n)^3 *(n-3)^n/(n-3)^5-56*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^5+316*n^13*( (n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^5-920*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3 *(n-3)^n/(n-3)^5+1456*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^5-1184*n^ 10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^5+384*n^9*((n-1)^n)^2/(n-1)^5/(n^n )^3*(n-3)^n/(n-3)^5+68*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-484*n^11*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+1868*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n /(n-4)^5-4216*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+5552*n^8*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^5-3936*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+ 1152*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-4*n^13*(n-1)^n/(n-1)^3/(n^n)^2 *(n-4)^n/(n-4)^5-n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+20*n^12*(n-1)^n/( n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-166*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6 +740*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-1909*n^9*(n-1)^n/(n-1)^2/(n^n )^2*(n-4)^n/(n-4)^6+2840*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-2244*n^7*( n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+720*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/ (n-4)^6+1/(n^n)*n^11*(n-5)^n/(n-5)^6-24/(n^n)*n^10*(n-5)^n/(n-5)^6+246/(n^n)*n^ 9*(n-5)^n/(n-5)^6-1404/(n^n)*n^8*(n-5)^n/(n-5)^6+4869/(n^n)*n^7*(n-5)^n/(n-5)^6 -10476/(n^n)*n^6*(n-5)^n/(n-5)^6+13604/(n^n)*n^5*(n-5)^n/(n-5)^6-9696/(n^n)*n^4 *(n-5)^n/(n-5)^6+2880/(n^n)*n^3*(n-5)^n/(n-5)^6+4*n^19*((n-1)^n)^5/(n-1)^14/(n^ n)^5-32*n^18*((n-1)^n)^5/(n-1)^14/(n^n)^5+96*n^17*((n-1)^n)^5/(n-1)^14/(n^n)^5-\ 128*n^16*((n-1)^n)^5/(n-1)^14/(n^n)^5-4*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-\ 2)^3+20*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-32*n^7*(n-1)^n/(n-1)^3/(n^n )^2*(n-2)^n/(n-2)^3+16*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-7*n^9*(n-1)^ n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+42*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^ 4-77*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+42*n^6*(n-1)^n/(n-1)^2/(n^n)^2 *(n-2)^n/(n-2)^4 The, 2, 1, mixed moment of, X[1], and , X[2], is 10 n 3 9 n 3 7 n 2 8 n n 2 n ((n - 1) ) 4 n ((n - 1) ) n ((n - 1) ) n (n - 1) (n - 2) ----------------- - ---------------- - -------------- - ----------------------- 7 n 3 7 n 3 5 n 2 3 n 2 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 7 n n 6 n 2 6 n n 3 n (n - 1) (n - 2) 2 n ((n - 1) ) 2 n (n - 1) (n - 2) + ----------------------- + ---------------- - ----------------------- 3 n 2 2 5 n 2 3 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) (n - 2) 8 n n 7 n n 2 n (n - 1) (n - 2) 6 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n n 5 n 4 n 3 4 n (n - 1) (n - 2) (n - 2) n 3 (n - 2) n 2 (n - 2) n - ----------------------- + ----------- - ------------- + ------------- 2 n 2 3 3 n 3 n 3 n (n - 1) (n ) (n - 2) (n - 2) n (n - 2) n (n - 2) n 6 n 5 n 4 n 3 n n (n - 3) 5 n (n - 3) 8 n (n - 3) 4 n (n - 3) + ----------- - ------------- + ------------- - ------------- n 3 n 3 n 3 n 3 n (n - 3) n (n - 3) n (n - 3) n (n - 3) and in Maple notation 2*n^10*((n-1)^n)^3/(n-1)^7/(n^n)^3-4*n^9*((n-1)^n)^3/(n-1)^7/(n^n)^3-n^7*((n-1) ^n)^2/(n-1)^5/(n^n)^2-n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^2+3*n^7*(n-1)^n /(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^2+2*n^6*((n-1)^n)^2/(n-1)^5/(n^n)^2-2*n^6*(n-1)^ n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^2-2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3 +6*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-4*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n -2)^n/(n-2)^3+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/( n-2)^3/(n^n)*n^3+1/(n^n)*n^6*(n-3)^n/(n-3)^3-5/(n^n)*n^5*(n-3)^n/(n-3)^3+8/(n^n )*n^4*(n-3)^n/(n-3)^3-4/(n^n)*n^3*(n-3)^n/(n-3)^3 The, 2, 2, mixed moment of, X[1], and , X[2], is 9 n 3 9 n 3 9 n n 4 n ((n - 1) ) 2 n ((n - 1) ) 14 n (n - 1) (n - 3) ---------------- - ---------------- + ----------------------- 8 n 3 7 n 3 3 n 2 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 3) 8 n n 7 n n 36 n (n - 1) (n - 3) 40 n (n - 1) (n - 3) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 2 n 16 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) - ----------------------- + ------------------------ 3 n 2 3 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 6 n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 6 n ((n - 1) ) (n - 2) 2 n (n - 1) (n - 3) - ------------------------- - ----------------------- 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 9 n n 8 n n 16 n (n - 1) (n - 3) 46 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 56 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) + ------------------------ - -------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 8 n ((n - 1) ) (n - 2) 4 n ((n - 1) ) (n - 2) + -------------------------- - ------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 4 n ((n - 1) ) (n - 2) 20 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 32 n ((n - 1) ) (n - 2) 16 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n n 5 n 4 n 3 2 n (n - 1) (n - 3) (n - 2) n 3 (n - 2) n 2 (n - 2) n - ----------------------- + ----------- - ------------- + ------------- 3 n 2 3 3 n 3 n 3 n (n - 1) (n ) (n - 3) (n - 2) n (n - 2) n (n - 2) n 11 n 3 10 n 3 7 n 6 n n ((n - 1) ) 4 n ((n - 1) ) n (n - 3) 8 n (n - 3) + --------------- - ----------------- + ----------- - ------------- 8 n 3 8 n 3 n 4 n 4 (n - 1) (n ) (n - 1) (n ) n (n - 3) n (n - 3) 5 n 4 n 3 n 12 n 4 23 n (n - 3) 28 n (n - 3) 12 n (n - 3) 12 n ((n - 1) ) + -------------- - -------------- + -------------- - ------------------ n 4 n 4 n 4 10 n 4 n (n - 3) n (n - 3) n (n - 3) (n - 1) (n ) 10 n 3 6 n 5 n 4 n n ((n - 1) ) n (n - 3) 5 n (n - 3) 8 n (n - 3) + --------------- + ----------- - ------------- + ------------- 7 n 3 n 3 n 3 n 3 (n - 1) (n ) n (n - 3) n (n - 3) n (n - 3) 3 n 14 n 4 13 n 4 8 n 4 n (n - 3) 3 n ((n - 1) ) 12 n ((n - 1) ) n (n - 4) - ------------- - ----------------- + ------------------ + ----------- n 3 10 n 4 10 n 4 n 4 n (n - 3) (n - 1) (n ) (n - 1) (n ) n (n - 4) 7 n 6 n 5 n 4 n 11 n (n - 4) 47 n (n - 4) 97 n (n - 4) 96 n (n - 4) - -------------- + -------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 6 n n 7 n n 36 n (n - 4) 4 n (n - 1) (n - 2) 6 n (n - 1) (n - 2) - -------------- - ----------------------- + ----------------------- n 4 2 n 2 3 2 n 2 3 n (n - 4) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 9 n n 2 n (n - 1) (n - 2) 2 n (n - 1) (n - 2) - ----------------------- - ----------------------- 2 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 10 n (n - 1) (n - 2) 16 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 8 n (n - 1) (n - 2) + ----------------------- 3 n 2 3 (n - 1) (n ) (n - 2) and in Maple notation 4*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3-2*n^9*((n-1)^n)^3/(n-1)^7/(n^n)^3+14*n^9*(n-1 )^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-36*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3 )^3+40*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-16*n^6*(n-1)^n/(n-1)^3/(n^n) ^2*(n-3)^n/(n-3)^3+n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-6*n^11*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+11*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 2)^n/(n-2)^4-6*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-2*n^10*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+16*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-\ 46*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+56*n^7*(n-1)^n/(n-1)^2/(n^n)^2*( n-3)^n/(n-3)^4-24*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+n^12*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-5*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2 )^2+8*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-4*n^9*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-2)^n/(n-2)^2+4*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-20 *n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3+32*n^10*((n-1)^n)^2/(n-1)^5/( n^n)^3*(n-2)^n/(n-2)^3-16*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-2*n^ 10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/ (n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3+n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-\ 4*n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+1/(n^n)*n^7*(n-3)^n/(n-3)^4-8/(n^n)*n^6*(n-3 )^n/(n-3)^4+23/(n^n)*n^5*(n-3)^n/(n-3)^4-28/(n^n)*n^4*(n-3)^n/(n-3)^4+12/(n^n)* n^3*(n-3)^n/(n-3)^4-12*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4+n^10*((n-1)^n)^3/(n-1) ^7/(n^n)^3+1/(n^n)*n^6*(n-3)^n/(n-3)^3-5/(n^n)*n^5*(n-3)^n/(n-3)^3+8/(n^n)*n^4* (n-3)^n/(n-3)^3-4/(n^n)*n^3*(n-3)^n/(n-3)^3-3*n^14*((n-1)^n)^4/(n-1)^10/(n^n)^4 +12*n^13*((n-1)^n)^4/(n-1)^10/(n^n)^4+1/(n^n)*n^8*(n-4)^n/(n-4)^4-11/(n^n)*n^7* (n-4)^n/(n-4)^4+47/(n^n)*n^6*(n-4)^n/(n-4)^4-97/(n^n)*n^5*(n-4)^n/(n-4)^4+96/(n ^n)*n^4*(n-4)^n/(n-4)^4-36/(n^n)*n^3*(n-4)^n/(n-4)^4-4*n^6*(n-1)^n/(n-1)^2/(n^n )^2*(n-2)^n/(n-2)^3+6*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-2*n^8*(n-1)^n /(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+ 10*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-16*n^7*(n-1)^n/(n-1)^3/(n^n)^2*( n-2)^n/(n-2)^3+8*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3 The, 2, 3, mixed moment of, X[1], and , X[2], is 9 n 3 12 n 4 9 n n 2 n ((n - 1) ) 8 n ((n - 1) ) 21 n (n - 1) (n - 3) - ---------------- + ----------------- + ----------------------- 7 n 3 11 n 4 3 n 2 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 3) 8 n n 7 n n 54 n (n - 1) (n - 3) 60 n (n - 1) (n - 3) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 2 n 24 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) - ----------------------- + -------------------------- 3 n 2 3 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 18 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 18 n ((n - 1) ) (n - 2) 6 n (n - 1) (n - 3) - -------------------------- - ----------------------- 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 9 n n 8 n n 48 n (n - 1) (n - 3) 138 n (n - 1) (n - 3) + ----------------------- - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 168 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 6 n ((n - 1) ) (n - 2) 30 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 48 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 13 n 2 n 3 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) - ----------------------- + -------------------------- 3 n 2 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 21 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 60 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 3 n (n - 1) (n - 3) 30 n (n - 1) (n - 3) - ----------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 117 n (n - 1) (n - 3) 222 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n n 5 204 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) (n - 2) n - ------------------------ + ----------------------- + ----------- 3 n 2 4 3 n 2 4 3 n (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 2) n n 4 n 3 16 n 3 n 3 (n - 2) n 2 (n - 2) n n ((n - 1) ) (n - 2) - ------------- + ------------- - ------------------------ 3 n 3 n 9 n 4 2 (n - 2) n (n - 2) n (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 7 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 20 n ((n - 1) ) (n - 2) 8 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 6 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 108 n ((n - 1) ) (n - 2) 120 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 14 n 2 n 48 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------- 8 n 4 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 27 n ((n - 1) ) (n - 3) 96 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 168 n ((n - 1) ) (n - 3) 144 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n 3 n 48 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 2) - -------------------------- - -------------------------- 6 n 3 3 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 24 n ((n - 1) ) (n - 2) 69 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 84 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 6 n ((n - 1) ) (n - 3) 60 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 234 n ((n - 1) ) (n - 3) 444 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 408 n ((n - 1) ) (n - 3) 144 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 3 n (n - 1) (n - 4) 39 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 207 n (n - 1) (n - 4) 573 n (n - 1) (n - 4) - ------------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 870 n (n - 1) (n - 4) 684 n (n - 1) (n - 4) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 14 n 2 n 216 n (n - 1) (n - 4) n ((n - 1) ) (n - 3) - ------------------------ + ------------------------ 3 n 2 4 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 12 n ((n - 1) ) (n - 3) 55 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 120 n ((n - 1) ) (n - 3) 124 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 48 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) - -------------------------- - ----------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 11 n n 10 n n 30 n (n - 1) (n - 4) 182 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 570 n (n - 1) (n - 4) 968 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 7 n 840 n (n - 1) (n - 4) 288 n (n - 1) (n - 4) 3 n (n - 3) + ------------------------ - ------------------------ + ------------- 2 n 2 5 2 n 2 5 n 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) n (n - 3) 6 n 5 n 4 n 3 n 24 n (n - 3) 69 n (n - 3) 84 n (n - 3) 36 n (n - 3) - -------------- + -------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 10 n 9 n 8 n 7 n n (n - 5) 19 n (n - 5) 151 n (n - 5) 649 n (n - 5) + ------------ - -------------- + --------------- - --------------- n 5 n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 3 n 1624 n (n - 5) 2356 n (n - 5) 1824 n (n - 5) 576 n (n - 5) + ---------------- - ---------------- + ---------------- - --------------- n 5 n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 12 n 4 15 n 5 15 n 4 12 n ((n - 1) ) 32 n ((n - 1) ) n ((n - 1) ) - ------------------ - ------------------ - --------------- 10 n 4 13 n 5 11 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 9 n 8 n 6 n ((n - 1) ) 12 n ((n - 1) ) n (n - 4) 15 n (n - 4) + ----------------- - ------------------ + ----------- - -------------- 11 n 4 11 n 4 n 5 n 5 (n - 1) (n ) (n - 1) (n ) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 91 n (n - 4) 285 n (n - 4) 484 n (n - 4) 420 n (n - 4) + -------------- - --------------- + --------------- - --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 18 n 5 17 n 5 144 n (n - 4) 4 n ((n - 1) ) 24 n ((n - 1) ) + --------------- + ----------------- - ------------------ n 5 13 n 5 13 n 5 n (n - 4) (n - 1) (n ) (n - 1) (n ) 16 n 5 10 n 3 6 n 5 n 48 n ((n - 1) ) n ((n - 1) ) n (n - 3) 5 n (n - 3) + ------------------ + --------------- + ----------- - ------------- 13 n 5 7 n 3 n 3 n 3 (n - 1) (n ) (n - 1) (n ) n (n - 3) n (n - 3) 4 n 3 n 14 n 4 13 n 4 8 n (n - 3) 4 n (n - 3) 3 n ((n - 1) ) 12 n ((n - 1) ) + ------------- - ------------- - ----------------- + ------------------ n 3 n 3 10 n 4 10 n 4 n (n - 3) n (n - 3) (n - 1) (n ) (n - 1) (n ) 8 n 7 n 6 n 5 n 3 n (n - 4) 33 n (n - 4) 141 n (n - 4) 291 n (n - 4) + ------------- - -------------- + --------------- - --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 4 n 3 n 6 n n 288 n (n - 4) 108 n (n - 4) 4 n (n - 1) (n - 2) + --------------- - --------------- - ----------------------- n 4 n 4 2 n 2 3 n (n - 4) n (n - 4) (n - 1) (n ) (n - 2) 7 n n 8 n n 6 n (n - 1) (n - 2) 2 n (n - 1) (n - 2) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 3 n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 24 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) and in Maple notation -2*n^9*((n-1)^n)^3/(n-1)^7/(n^n)^3+8*n^12*((n-1)^n)^4/(n-1)^11/(n^n)^4+21*n^9*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-54*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/( n-3)^3+60*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-24*n^6*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^3+3*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-18*n^ 11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+33*n^10*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-2)^n/(n-2)^4-18*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-6*n^10*( n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+48*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/( n-3)^4-138*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+168*n^7*(n-1)^n/(n-1)^2/ (n^n)^2*(n-3)^n/(n-3)^4-72*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+6*n^12*( (n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-30*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3* (n-2)^n/(n-2)^3+48*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-24*n^9*((n-\ 1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/ (n-3)^3+3*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-21*n^12*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+54*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-\ 2)^3-60*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+24*n^9*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-2)^n/(n-2)^3-3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+30* n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-117*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n -3)^n/(n-3)^4+222*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-204*n^7*(n-1)^n/( n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+72*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+( n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^ 3-n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2+7*n^15*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-2)^n/(n-2)^2-18*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2+20*n ^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-8*n^12*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-2)^n/(n-2)^2-6*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+42*n^15* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-108*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^ 4*(n-2)^n/(n-2)^3+120*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-48*n^12* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+3*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-3)^n/(n-3)^3-27*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+96*n^12*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-168*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-3)^n/(n-3)^3+144*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-48*n^9*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-3*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2 )^n/(n-2)^4+24*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^4-69*n^14*((n-1)^ n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^4+84*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^ n/(n-2)^4-36*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^4+6*n^14*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-60*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/( n-3)^4+234*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-444*n^11*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+408*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/ (n-3)^4-144*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-3*n^12*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^4+39*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-207 *n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+573*n^9*(n-1)^n/(n-1)^3/(n^n)^2*( n-4)^n/(n-4)^4-870*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+684*n^7*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-216*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4 +n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-12*n^13*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-3)^n/(n-3)^5+55*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-120* n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+124*n^10*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-3)^n/(n-3)^5-48*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-2*n^ 12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+30*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4 )^n/(n-4)^5-182*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+570*n^9*(n-1)^n/(n -1)^2/(n^n)^2*(n-4)^n/(n-4)^5-968*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+ 840*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-288*n^6*(n-1)^n/(n-1)^2/(n^n)^2 *(n-4)^n/(n-4)^5+3/(n^n)*n^7*(n-3)^n/(n-3)^4-24/(n^n)*n^6*(n-3)^n/(n-3)^4+69/(n ^n)*n^5*(n-3)^n/(n-3)^4-84/(n^n)*n^4*(n-3)^n/(n-3)^4+36/(n^n)*n^3*(n-3)^n/(n-3) ^4+1/(n^n)*n^10*(n-5)^n/(n-5)^5-19/(n^n)*n^9*(n-5)^n/(n-5)^5+151/(n^n)*n^8*(n-5 )^n/(n-5)^5-649/(n^n)*n^7*(n-5)^n/(n-5)^5+1624/(n^n)*n^6*(n-5)^n/(n-5)^5-2356/( n^n)*n^5*(n-5)^n/(n-5)^5+1824/(n^n)*n^4*(n-5)^n/(n-5)^5-576/(n^n)*n^3*(n-5)^n/( n-5)^5-12*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4-32*n^15*((n-1)^n)^5/(n-1)^13/(n^n)^ 5-n^15*((n-1)^n)^4/(n-1)^11/(n^n)^4+6*n^14*((n-1)^n)^4/(n-1)^11/(n^n)^4-12*n^13 *((n-1)^n)^4/(n-1)^11/(n^n)^4+1/(n^n)*n^9*(n-4)^n/(n-4)^5-15/(n^n)*n^8*(n-4)^n/ (n-4)^5+91/(n^n)*n^7*(n-4)^n/(n-4)^5-285/(n^n)*n^6*(n-4)^n/(n-4)^5+484/(n^n)*n^ 5*(n-4)^n/(n-4)^5-420/(n^n)*n^4*(n-4)^n/(n-4)^5+144/(n^n)*n^3*(n-4)^n/(n-4)^5+4 *n^18*((n-1)^n)^5/(n-1)^13/(n^n)^5-24*n^17*((n-1)^n)^5/(n-1)^13/(n^n)^5+48*n^16 *((n-1)^n)^5/(n-1)^13/(n^n)^5+n^10*((n-1)^n)^3/(n-1)^7/(n^n)^3+1/(n^n)*n^6*(n-3 )^n/(n-3)^3-5/(n^n)*n^5*(n-3)^n/(n-3)^3+8/(n^n)*n^4*(n-3)^n/(n-3)^3-4/(n^n)*n^3 *(n-3)^n/(n-3)^3-3*n^14*((n-1)^n)^4/(n-1)^10/(n^n)^4+12*n^13*((n-1)^n)^4/(n-1)^ 10/(n^n)^4+3/(n^n)*n^8*(n-4)^n/(n-4)^4-33/(n^n)*n^7*(n-4)^n/(n-4)^4+141/(n^n)*n ^6*(n-4)^n/(n-4)^4-291/(n^n)*n^5*(n-4)^n/(n-4)^4+288/(n^n)*n^4*(n-4)^n/(n-4)^4-\ 108/(n^n)*n^3*(n-4)^n/(n-4)^4-4*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+6*n ^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^ n/(n-2)^3-3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+15*n^8*(n-1)^n/(n-1)^3/ (n^n)^2*(n-2)^n/(n-2)^3-24*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+12*n^6*( n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3 The, 2, 4, mixed moment of, X[1], and , X[2], is 9 n 3 15 n 5 9 n n 2 n ((n - 1) ) 16 n ((n - 1) ) 28 n (n - 1) (n - 3) - ---------------- + ------------------ + ----------------------- 7 n 3 14 n 5 3 n 2 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 3) 8 n n 7 n n 72 n (n - 1) (n - 3) 80 n (n - 1) (n - 3) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 2 n 32 n (n - 1) (n - 3) 7 n ((n - 1) ) (n - 2) - ----------------------- + -------------------------- 3 n 2 3 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 42 n ((n - 1) ) (n - 2) 77 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 42 n ((n - 1) ) (n - 2) 14 n (n - 1) (n - 3) - -------------------------- - ------------------------ 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 9 n n 8 n n 112 n (n - 1) (n - 3) 322 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 392 n (n - 1) (n - 3) 168 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 8 n ((n - 1) ) (n - 2) 40 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 64 n ((n - 1) ) (n - 2) 32 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 13 n 2 n 4 n (n - 1) (n - 3) 6 n ((n - 1) ) (n - 2) - ----------------------- + -------------------------- 3 n 2 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 42 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 120 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 12 n (n - 1) (n - 3) 120 n (n - 1) (n - 3) - ------------------------ + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 468 n (n - 1) (n - 3) 888 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n n 5 816 n (n - 1) (n - 3) 288 n (n - 1) (n - 3) (n - 2) n - ------------------------ + ------------------------ + ----------- 3 n 2 4 3 n 2 4 3 n (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 2) n n 4 n 3 16 n 3 n 3 (n - 2) n 2 (n - 2) n 12 n ((n - 1) ) (n - 2) - ------------- + ------------- - --------------------------- 3 n 3 n 8 n 4 3 (n - 2) n (n - 2) n (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 84 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 240 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 6 n ((n - 1) ) (n - 3) 54 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 192 n ((n - 1) ) (n - 3) 336 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 288 n ((n - 1) ) (n - 3) 96 n ((n - 1) ) (n - 3) + ---------------------------- - -------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 12 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 276 n ((n - 1) ) (n - 2) 336 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 14 n 2 n 144 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 7 n 4 4 5 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 240 n ((n - 1) ) (n - 3) 936 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1776 n ((n - 1) ) (n - 3) 1632 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 576 n ((n - 1) ) (n - 3) 12 n (n - 1) (n - 4) - --------------------------- - ------------------------ 5 n 3 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 11 n n 10 n n 156 n (n - 1) (n - 4) 828 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 2292 n (n - 1) (n - 4) 3480 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 2736 n (n - 1) (n - 4) 864 n (n - 1) (n - 4) + ------------------------- - ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 6 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 330 n ((n - 1) ) (n - 3) 720 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 744 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 12 n (n - 1) (n - 4) 180 n (n - 1) (n - 4) - ------------------------ + ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 1092 n (n - 1) (n - 4) 3420 n (n - 1) (n - 4) - -------------------------- + ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 5808 n (n - 1) (n - 4) 5040 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 7 n 6 n 1728 n (n - 1) (n - 4) 7 n (n - 3) 56 n (n - 3) - ------------------------- + ------------- - -------------- 2 n 2 5 n 4 n 4 (n - 1) (n ) (n - 4) n (n - 3) n (n - 3) 5 n 4 n 3 n 10 n 161 n (n - 3) 196 n (n - 3) 84 n (n - 3) 6 n (n - 5) + --------------- - --------------- + -------------- + -------------- n 4 n 4 n 4 n 5 n (n - 3) n (n - 3) n (n - 3) n (n - 5) 9 n 8 n 7 n 6 n 114 n (n - 5) 906 n (n - 5) 3894 n (n - 5) 9744 n (n - 5) - --------------- + --------------- - ---------------- + ---------------- n 5 n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 5 n 4 n 3 n 14136 n (n - 5) 10944 n (n - 5) 3456 n (n - 5) - ----------------- + ----------------- - ---------------- n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) 22 n 6 21 n 6 20 n 6 5 n ((n - 1) ) 40 n ((n - 1) ) 120 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 16 n 6 16 n 6 16 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 19 n 6 12 n 11 n 10 n 160 n ((n - 1) ) n (n - 6) 29 n (n - 6) 366 n (n - 6) + ------------------- + ------------ - --------------- + ---------------- 16 n 6 n 6 n 6 n 6 (n - 1) (n ) n (n - 6) n (n - 6) n (n - 6) 9 n 8 n 7 n 2634 n (n - 6) 11889 n (n - 6) 34821 n (n - 6) - ---------------- + ----------------- - ----------------- n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 6 n 5 n 4 n 65984 n (n - 6) 77716 n (n - 6) 51360 n (n - 6) + ----------------- - ----------------- + ----------------- n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 3 n 12 n 4 15 n 5 14400 n (n - 6) 16 n ((n - 1) ) 48 n ((n - 1) ) - ----------------- - ------------------ - ------------------ n 6 10 n 4 13 n 5 n (n - 6) (n - 1) (n ) (n - 1) (n ) 9 n 8 n 7 n 6 n 6 n (n - 4) 90 n (n - 4) 546 n (n - 4) 1710 n (n - 4) + ------------- - -------------- + --------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 2904 n (n - 4) 2520 n (n - 4) 864 n (n - 4) + ---------------- - ---------------- + --------------- n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) 18 n 5 17 n 5 16 n 5 6 n ((n - 1) ) 36 n ((n - 1) ) 72 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 13 n 5 13 n 5 13 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 12 n 3 n 20 n 4 n 128 n ((n - 1) ) (n - 3) 6 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 9 n 4 3 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 60 n ((n - 1) ) (n - 2) 234 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 444 n ((n - 1) ) (n - 2) 408 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 3 n 144 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 3) - ---------------------------- - --------------------------- 10 n 5 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 144 n ((n - 1) ) (n - 3) 708 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 1824 n ((n - 1) ) (n - 3) 2592 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 1920 n ((n - 1) ) (n - 3) 576 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 6 n ((n - 1) ) (n - 4) 90 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 570 n ((n - 1) ) (n - 4) 1974 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 4032 n ((n - 1) ) (n - 4) 4848 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 3168 n ((n - 1) ) (n - 4) 864 n ((n - 1) ) (n - 4) + ----------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 4 n ((n - 1) ) (n - 3) 56 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 316 n ((n - 1) ) (n - 3) 920 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1456 n ((n - 1) ) (n - 3) 1184 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 2 n 384 n ((n - 1) ) (n - 3) 136 n ((n - 1) ) (n - 4) - ---------------------------- - ---------------------------- 7 n 4 5 5 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 968 n ((n - 1) ) (n - 4) 3736 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 3 6 n 5 n 4 n n ((n - 1) ) n (n - 3) 5 n (n - 3) 8 n (n - 3) + --------------- + ----------- - ------------- + ------------- 7 n 3 n 3 n 3 n 3 (n - 1) (n ) n (n - 3) n (n - 3) n (n - 3) 3 n 12 n 2 n 4 n (n - 3) 8432 n ((n - 1) ) (n - 4) - ------------- + ----------------------------- n 3 5 n 3 5 n (n - 3) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 11104 n ((n - 1) ) (n - 4) 7872 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n 2 n 2304 n ((n - 1) ) (n - 4) 8 n ((n - 1) ) (n - 4) - ---------------------------- + -------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 4 n (n - 1) (n - 5) 84 n (n - 1) (n - 5) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 756 n (n - 1) (n - 5) 3804 n (n - 1) (n - 5) - ------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 11688 n (n - 1) (n - 5) 22416 n (n - 1) (n - 5) - --------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 26144 n (n - 1) (n - 5) 16896 n (n - 1) (n - 5) - -------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n 2 n 4608 n (n - 1) (n - 5) n ((n - 1) ) (n - 4) - ------------------------- + ------------------------ 3 n 2 5 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 20 n ((n - 1) ) (n - 4) 166 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 740 n ((n - 1) ) (n - 4) 1909 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 2840 n ((n - 1) ) (n - 4) 2244 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n n 720 n ((n - 1) ) (n - 4) 2 n (n - 1) (n - 5) - --------------------------- - ----------------------- 4 n 3 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 13 n n 12 n n 48 n (n - 1) (n - 5) 492 n (n - 1) (n - 5) + ------------------------ - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 2808 n (n - 1) (n - 5) 9738 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 20952 n (n - 1) (n - 5) 27208 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 19392 n (n - 1) (n - 5) 5760 n (n - 1) (n - 5) + -------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n 4 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 128 n ((n - 1) ) (n - 2) 224 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 192 n ((n - 1) ) (n - 2) 64 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 6 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 354 n ((n - 1) ) (n - 3) 912 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1296 n ((n - 1) ) (n - 3) 960 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 288 n ((n - 1) ) (n - 3) 68 n (n - 1) (n - 4) + --------------------------- + ------------------------ 6 n 3 4 3 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 11 n n 10 n n 484 n (n - 1) (n - 4) 1868 n (n - 1) (n - 4) - ------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 4216 n (n - 1) (n - 4) 5552 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 3936 n (n - 1) (n - 4) 1152 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 14 n 4 13 n 4 4 n (n - 1) (n - 4) 4 n ((n - 1) ) 16 n ((n - 1) ) - ----------------------- - ----------------- + ------------------ 3 n 2 5 10 n 4 10 n 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 1) (n ) 8 n 7 n 6 n 5 n 7 n (n - 4) 77 n (n - 4) 329 n (n - 4) 679 n (n - 4) + ------------- - -------------- + --------------- - --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 4 n 3 n 11 n 10 n 672 n (n - 4) 252 n (n - 4) n (n - 5) 24 n (n - 5) + --------------- - --------------- + ------------ - --------------- n 4 n 4 n 6 n 6 n (n - 4) n (n - 4) n (n - 5) n (n - 5) 9 n 8 n 7 n 246 n (n - 5) 1404 n (n - 5) 4869 n (n - 5) + --------------- - ---------------- + ---------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 10476 n (n - 5) 13604 n (n - 5) 9696 n (n - 5) - ----------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 3 n 19 n 5 18 n 5 2880 n (n - 5) n ((n - 1) ) 8 n ((n - 1) ) + ---------------- + --------------- - ----------------- n 6 14 n 5 14 n 5 n (n - 5) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 20 n 4 n 24 n ((n - 1) ) 32 n ((n - 1) ) n ((n - 1) ) (n - 2) + ------------------ - ------------------ + ------------------------ 14 n 5 14 n 5 12 n 5 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 9 n ((n - 1) ) (n - 2) 32 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 56 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 16 n ((n - 1) ) (n - 2) 8 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 12 n 5 2 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 72 n ((n - 1) ) (n - 2) 256 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 448 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 3 n 128 n ((n - 1) ) (n - 2) 4 n ((n - 1) ) (n - 3) - ---------------------------- - -------------------------- 11 n 5 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 44 n ((n - 1) ) (n - 3) 200 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 480 n ((n - 1) ) (n - 3) 640 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 6 n n 448 n ((n - 1) ) (n - 3) 4 n (n - 1) (n - 2) + ---------------------------- - ----------------------- 9 n 4 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 7 n n 8 n n 6 n (n - 1) (n - 2) 2 n (n - 1) (n - 2) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 4 n (n - 1) (n - 2) 20 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 18 n 6 32 n (n - 1) (n - 2) 16 n (n - 1) (n - 2) 80 n ((n - 1) ) - ----------------------- + ----------------------- - ------------------ 3 n 2 3 3 n 2 3 16 n 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) and in Maple notation -2*n^9*((n-1)^n)^3/(n-1)^7/(n^n)^3+16*n^15*((n-1)^n)^5/(n-1)^14/(n^n)^5+28*n^9* (n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-72*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/ (n-3)^3+80*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-32*n^6*(n-1)^n/(n-1)^3/( n^n)^2*(n-3)^n/(n-3)^3+7*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-42*n^ 11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+77*n^10*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-2)^n/(n-2)^4-42*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-14*n^10* (n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+112*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n /(n-3)^4-322*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+392*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^4-168*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+8*n^ 12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-40*n^11*((n-1)^n)^2/(n-1)^5/(n^n )^3*(n-2)^n/(n-2)^3+64*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-32*n^9* ((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-4*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3 )^n/(n-3)^3+6*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-42*n^12*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+108*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^ n/(n-2)^3-120*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+48*n^9*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-12*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3 )^4+120*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-468*n^9*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^4+888*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-816*n^7*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+288*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/ (n-3)^4+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3 /(n^n)*n^3-12*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+84*n^15*((n-1)^n )^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-216*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^ n/(n-2)^3+240*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-96*n^12*((n-1)^n )^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+6*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^3-54*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+192*n^12*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-336*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^3+288*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-96*n^9*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-12*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n -2)^4+96*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^4-276*n^14*((n-1)^n)^3/ (n-1)^7/(n^n)^4*(n-2)^n/(n-2)^4+336*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n -2)^4-144*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^4+24*n^14*((n-1)^n)^2/ (n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-240*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n -3)^4+936*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-1776*n^11*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+1632*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n /(n-3)^4-576*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-12*n^12*(n-1)^n/(n -1)^3/(n^n)^2*(n-4)^n/(n-4)^4+156*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-\ 828*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+2292*n^9*(n-1)^n/(n-1)^3/(n^n) ^2*(n-4)^n/(n-4)^4-3480*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+2736*n^7*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-864*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^4+6*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-72*n^13*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+330*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-\ 3)^5-720*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+744*n^10*((n-1)^n)^2/ (n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-288*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-\ 3)^5-12*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+180*n^11*(n-1)^n/(n-1)^2/( n^n)^2*(n-4)^n/(n-4)^5-1092*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+3420*n ^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-5808*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 4)^n/(n-4)^5+5040*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-1728*n^6*(n-1)^n/ (n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+7/(n^n)*n^7*(n-3)^n/(n-3)^4-56/(n^n)*n^6*(n-3)^ n/(n-3)^4+161/(n^n)*n^5*(n-3)^n/(n-3)^4-196/(n^n)*n^4*(n-3)^n/(n-3)^4+84/(n^n)* n^3*(n-3)^n/(n-3)^4+6/(n^n)*n^10*(n-5)^n/(n-5)^5-114/(n^n)*n^9*(n-5)^n/(n-5)^5+ 906/(n^n)*n^8*(n-5)^n/(n-5)^5-3894/(n^n)*n^7*(n-5)^n/(n-5)^5+9744/(n^n)*n^6*(n-\ 5)^n/(n-5)^5-14136/(n^n)*n^5*(n-5)^n/(n-5)^5+10944/(n^n)*n^4*(n-5)^n/(n-5)^5-\ 3456/(n^n)*n^3*(n-5)^n/(n-5)^5-5*n^22*((n-1)^n)^6/(n-1)^16/(n^n)^6+40*n^21*((n-\ 1)^n)^6/(n-1)^16/(n^n)^6-120*n^20*((n-1)^n)^6/(n-1)^16/(n^n)^6+160*n^19*((n-1)^ n)^6/(n-1)^16/(n^n)^6+1/(n^n)*n^12*(n-6)^n/(n-6)^6-29/(n^n)*n^11*(n-6)^n/(n-6)^ 6+366/(n^n)*n^10*(n-6)^n/(n-6)^6-2634/(n^n)*n^9*(n-6)^n/(n-6)^6+11889/(n^n)*n^8 *(n-6)^n/(n-6)^6-34821/(n^n)*n^7*(n-6)^n/(n-6)^6+65984/(n^n)*n^6*(n-6)^n/(n-6)^ 6-77716/(n^n)*n^5*(n-6)^n/(n-6)^6+51360/(n^n)*n^4*(n-6)^n/(n-6)^6-14400/(n^n)*n ^3*(n-6)^n/(n-6)^6-16*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4-48*n^15*((n-1)^n)^5/(n-\ 1)^13/(n^n)^5+6/(n^n)*n^9*(n-4)^n/(n-4)^5-90/(n^n)*n^8*(n-4)^n/(n-4)^5+546/(n^n )*n^7*(n-4)^n/(n-4)^5-1710/(n^n)*n^6*(n-4)^n/(n-4)^5+2904/(n^n)*n^5*(n-4)^n/(n-\ 4)^5-2520/(n^n)*n^4*(n-4)^n/(n-4)^5+864/(n^n)*n^3*(n-4)^n/(n-4)^5+6*n^18*((n-1) ^n)^5/(n-1)^13/(n^n)^5-36*n^17*((n-1)^n)^5/(n-1)^13/(n^n)^5+72*n^16*((n-1)^n)^5 /(n-1)^13/(n^n)^5-128*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3+6*n^20*( (n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-60*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^ 5*(n-2)^n/(n-2)^4+234*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-444*n^ 17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4+408*n^16*((n-1)^n)^4/(n-1)^10/( n^n)^5*(n-2)^n/(n-2)^4-144*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-12 *n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+144*n^17*((n-1)^n)^3/(n-1)^8/ (n^n)^4*(n-3)^n/(n-3)^4-708*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+ 1824*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-2592*n^14*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-3)^n/(n-3)^4+1920*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3 )^4-576*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+6*n^16*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-4)^n/(n-4)^4-90*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^ 4+570*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-1974*n^13*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-4)^n/(n-4)^4+4032*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-\ 4)^4-4848*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+3168*n^10*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-864*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/( n-4)^4-4*n^18*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^5+56*n^17*((n-1)^n)^3/( n-1)^7/(n^n)^4*(n-3)^n/(n-3)^5-316*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-\ 3)^5+920*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^5-1456*n^14*((n-1)^n)^3 /(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^5+1184*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/ (n-3)^5-384*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^5-136*n^15*((n-1)^n) ^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+968*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n /(n-4)^5-3736*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+n^10*((n-1)^n)^3 /(n-1)^7/(n^n)^3+1/(n^n)*n^6*(n-3)^n/(n-3)^3-5/(n^n)*n^5*(n-3)^n/(n-3)^3+8/(n^n )*n^4*(n-3)^n/(n-3)^3-4/(n^n)*n^3*(n-3)^n/(n-3)^3+8432*n^12*((n-1)^n)^2/(n-1)^5 /(n^n)^3*(n-4)^n/(n-4)^5-11104*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5 +7872*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5-2304*n^9*((n-1)^n)^2/(n-\ 1)^5/(n^n)^3*(n-4)^n/(n-4)^5+8*n^16*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5 -4*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5+84*n^13*(n-1)^n/(n-1)^3/(n^n)^2 *(n-5)^n/(n-5)^5-756*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5+3804*n^11*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-11688*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^5+22416*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-26144*n^8*(n-1)^n/(n -1)^3/(n^n)^2*(n-5)^n/(n-5)^5+16896*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5 -4608*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5+n^16*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-4)^n/(n-4)^6-20*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6+166*n^ 14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-740*n^13*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-4)^n/(n-4)^6+1909*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-2840 *n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6+2244*n^10*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-4)^n/(n-4)^6-720*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-2* n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+48*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n -5)^n/(n-5)^6-492*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+2808*n^11*(n-1)^ n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-9738*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-\ 5)^6+20952*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-27208*n^8*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-5)^n/(n-5)^6+19392*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-\ 5760*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-4*n^17*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-2)^n/(n-2)^3+36*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3-128*n^ 15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+224*n^14*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-2)^n/(n-2)^3-192*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+64*n^ 12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+6*n^15*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-3)^n/(n-3)^4-72*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+354*n^13 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-912*n^12*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-3)^n/(n-3)^4+1296*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-960*n^ 10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+288*n^9*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-3)^n/(n-3)^4+68*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-484*n^11*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+1868*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n /(n-4)^5-4216*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+5552*n^8*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^5-3936*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+ 1152*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-4*n^13*(n-1)^n/(n-1)^3/(n^n)^2 *(n-4)^n/(n-4)^5-4*n^14*((n-1)^n)^4/(n-1)^10/(n^n)^4+16*n^13*((n-1)^n)^4/(n-1)^ 10/(n^n)^4+7/(n^n)*n^8*(n-4)^n/(n-4)^4-77/(n^n)*n^7*(n-4)^n/(n-4)^4+329/(n^n)*n ^6*(n-4)^n/(n-4)^4-679/(n^n)*n^5*(n-4)^n/(n-4)^4+672/(n^n)*n^4*(n-4)^n/(n-4)^4-\ 252/(n^n)*n^3*(n-4)^n/(n-4)^4+1/(n^n)*n^11*(n-5)^n/(n-5)^6-24/(n^n)*n^10*(n-5)^ n/(n-5)^6+246/(n^n)*n^9*(n-5)^n/(n-5)^6-1404/(n^n)*n^8*(n-5)^n/(n-5)^6+4869/(n^ n)*n^7*(n-5)^n/(n-5)^6-10476/(n^n)*n^6*(n-5)^n/(n-5)^6+13604/(n^n)*n^5*(n-5)^n/ (n-5)^6-9696/(n^n)*n^4*(n-5)^n/(n-5)^6+2880/(n^n)*n^3*(n-5)^n/(n-5)^6+n^19*((n-\ 1)^n)^5/(n-1)^14/(n^n)^5-8*n^18*((n-1)^n)^5/(n-1)^14/(n^n)^5+24*n^17*((n-1)^n)^ 5/(n-1)^14/(n^n)^5-32*n^16*((n-1)^n)^5/(n-1)^14/(n^n)^5+n^20*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-2)^n/(n-2)^2-9*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2+ 32*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2-56*n^17*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-2)^n/(n-2)^2+48*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2 -16*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2+8*n^20*((n-1)^n)^4/(n-1)^ 11/(n^n)^5*(n-2)^n/(n-2)^3-72*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^3 +256*n^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^3-448*n^17*((n-1)^n)^4/(n-\ 1)^11/(n^n)^5*(n-2)^n/(n-2)^3+384*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-\ 2)^3-128*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^3-4*n^18*((n-1)^n)^3/( n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3+44*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3 )^3-200*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3+480*n^15*((n-1)^n)^3/( n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3-640*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-\ 3)^3+448*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3-4*n^6*(n-1)^n/(n-1)^2 /(n^n)^2*(n-2)^n/(n-2)^3+6*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-2*n^8*(n -1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-4*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-\ 2)^3+20*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-32*n^7*(n-1)^n/(n-1)^3/(n^n )^2*(n-2)^n/(n-2)^3+16*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-80*n^18*((n-\ 1)^n)^6/(n-1)^16/(n^n)^6 The, 3, 1, mixed moment of, X[1], and , X[2], is 6 n 2 9 n 3 7 n 2 n 5 2 n ((n - 1) ) 6 n ((n - 1) ) n ((n - 1) ) (n - 2) n ---------------- - ---------------- - -------------- + ----------- 5 n 2 7 n 3 5 n 2 3 n (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) n n 4 n 3 10 n 3 6 n 3 (n - 2) n 2 (n - 2) n 3 n ((n - 1) ) 3 n (n - 3) - ------------- + ------------- + ----------------- + ------------- 3 n 3 n 7 n 3 n 3 (n - 2) n (n - 2) n (n - 1) (n ) n (n - 3) 5 n 4 n 3 n 15 n (n - 3) 24 n (n - 3) 12 n (n - 3) - -------------- + -------------- - -------------- n 3 n 3 n 3 n (n - 3) n (n - 3) n (n - 3) 9 n 2 n 9 n n 6 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ------------------------- - ----------------------- 5 n 3 2 3 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 8 n n 7 n n 5 n (n - 1) (n - 3) 8 n (n - 1) (n - 3) + ----------------------- - ----------------------- 3 n 2 2 3 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 11 n 2 n 4 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) + ----------------------- + -------------------------- 3 n 2 2 4 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 9 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) - -------------------------- + ------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 3 n (n - 1) (n - 3) 15 n (n - 1) (n - 3) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 13 n 4 24 n (n - 1) (n - 3) 12 n (n - 1) (n - 3) 3 n ((n - 1) ) - ----------------------- + ----------------------- - ----------------- 2 n 2 3 2 n 2 3 9 n 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 1) (n ) 7 n 6 n 5 n 4 n n (n - 4) 8 n (n - 4) 23 n (n - 4) 28 n (n - 4) + ----------- - ------------- + -------------- - -------------- n 3 n 3 n 3 n 3 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 11 n 2 n 10 n 2 n 12 n (n - 4) 3 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + -------------- + -------------------------- - -------------------------- n 3 5 n 3 2 5 n 3 2 n (n - 4) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 7 n n 6 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 12 n 4 8 n n 3 n (n - 1) (n - 2) 6 n ((n - 1) ) 3 n (n - 1) (n - 2) - ----------------------- + ----------------- - ----------------------- 2 n 2 3 9 n 4 3 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n (n - 1) (n - 2) 6 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 2 3 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) and in Maple notation 2*n^6*((n-1)^n)^2/(n-1)^5/(n^n)^2-6*n^9*((n-1)^n)^3/(n-1)^7/(n^n)^3-n^7*((n-1)^ n)^2/(n-1)^5/(n^n)^2+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n -2)^n/(n-2)^3/(n^n)*n^3+3*n^10*((n-1)^n)^3/(n-1)^7/(n^n)^3+3/(n^n)*n^6*(n-3)^n/ (n-3)^3-15/(n^n)*n^5*(n-3)^n/(n-3)^3+24/(n^n)*n^4*(n-3)^n/(n-3)^3-12/(n^n)*n^3* (n-3)^n/(n-3)^3+6*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^2-n^9*(n-1)^n/( n-1)^3/(n^n)^2*(n-3)^n/(n-3)^2+5*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^2-8* n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^2+4*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^2+3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-9*n^10*((n-1)^n)^ 2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3+6*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-\ 2)^3-3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+15*n^8*(n-1)^n/(n-1)^2/(n^n) ^2*(n-3)^n/(n-3)^3-24*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+12*n^6*(n-1)^ n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3-3*n^13*((n-1)^n)^4/(n-1)^9/(n^n)^4+1/(n^n)*n^ 7*(n-4)^n/(n-4)^3-8/(n^n)*n^6*(n-4)^n/(n-4)^3+23/(n^n)*n^5*(n-4)^n/(n-4)^3-28/( n^n)*n^4*(n-4)^n/(n-4)^3+12/(n^n)*n^3*(n-4)^n/(n-4)^3+3*n^11*((n-1)^n)^2/(n-1)^ 5/(n^n)^3*(n-2)^n/(n-2)^2-9*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^2-6* n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+9*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2) ^n/(n-2)^3-3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+6*n^12*((n-1)^n)^4/(n-\ 1)^9/(n^n)^4-3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^2+9*n^7*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-2)^n/(n-2)^2-6*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^2 The, 3, 2, mixed moment of, X[1], and , X[2], is 9 n 3 9 n n 8 n n 4 n ((n - 1) ) 42 n (n - 1) (n - 3) 108 n (n - 1) (n - 3) ---------------- + ----------------------- - ------------------------ 8 n 3 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 120 n (n - 1) (n - 3) 48 n (n - 1) (n - 3) + ------------------------ - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 3 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 69 n (n - 1) (n - 3) 84 n (n - 1) (n - 3) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 2 n 36 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) - ----------------------- + -------------------------- 2 n 2 4 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 15 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 12 n 2 n 12 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) - -------------------------- + -------------------------- 6 n 3 2 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 30 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n n 5 24 n ((n - 1) ) (n - 2) 6 n (n - 1) (n - 3) (n - 2) n - -------------------------- - ----------------------- + ----------- 5 n 3 3 3 n 2 3 3 n (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) (n - 2) n n 4 n 3 11 n 3 10 n 3 3 (n - 2) n 2 (n - 2) n n ((n - 1) ) 4 n ((n - 1) ) - ------------- + ------------- + --------------- - ----------------- 3 n 3 n 8 n 3 8 n 3 (n - 2) n (n - 2) n (n - 1) (n ) (n - 1) (n ) 7 n 6 n 5 n 4 n n (n - 3) 8 n (n - 3) 23 n (n - 3) 28 n (n - 3) + ----------- - ------------- + -------------- - -------------- n 4 n 4 n 4 n 4 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 3 n 12 n 4 6 n 5 n 12 n (n - 3) 12 n ((n - 1) ) 3 n (n - 3) 15 n (n - 3) + -------------- - ------------------ + ------------- - -------------- n 4 10 n 4 n 3 n 3 n (n - 3) (n - 1) (n ) n (n - 3) n (n - 3) 4 n 3 n 11 n 2 n 24 n (n - 3) 12 n (n - 3) 3 n ((n - 1) ) (n - 2) + -------------- - -------------- + -------------------------- n 3 n 3 4 n 3 3 n (n - 3) n (n - 3) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 9 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) - -------------------------- + ------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 3 n (n - 1) (n - 3) 15 n (n - 1) (n - 3) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 13 n 4 24 n (n - 1) (n - 3) 12 n (n - 1) (n - 3) n ((n - 1) ) - ----------------------- + ----------------------- - --------------- 2 n 2 3 2 n 2 3 9 n 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 1) (n ) 7 n 6 n 5 n 4 n n (n - 4) 8 n (n - 4) 23 n (n - 4) 28 n (n - 4) + ----------- - ------------- + -------------- - -------------- n 3 n 3 n 3 n 3 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 14 n 4 13 n 4 8 n 12 n (n - 4) 3 n ((n - 1) ) 12 n ((n - 1) ) 3 n (n - 4) + -------------- - ----------------- + ------------------ + ------------- n 3 10 n 4 10 n 4 n 4 n (n - 4) (n - 1) (n ) (n - 1) (n ) n (n - 4) 7 n 6 n 5 n 4 n 33 n (n - 4) 141 n (n - 4) 291 n (n - 4) 288 n (n - 4) - -------------- + --------------- - --------------- + --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 17 n 5 16 n 5 9 n 108 n (n - 4) 4 n ((n - 1) ) 16 n ((n - 1) ) n (n - 5) - --------------- + ----------------- - ------------------ + ----------- n 4 12 n 5 12 n 5 n 4 n (n - 4) (n - 1) (n ) (n - 1) (n ) n (n - 5) 8 n 7 n 6 n 5 n 15 n (n - 5) 91 n (n - 5) 285 n (n - 5) 484 n (n - 5) - -------------- + -------------- - --------------- + --------------- n 4 n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 11 n 2 n 420 n (n - 5) 144 n (n - 5) 108 n ((n - 1) ) (n - 3) - --------------- + --------------- + ---------------------------- n 4 n 4 5 n 3 3 n (n - 5) n (n - 5) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 120 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 2 n (n - 1) (n - 4) 20 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 78 n (n - 1) (n - 4) 148 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 136 n (n - 1) (n - 4) 48 n (n - 1) (n - 4) - ------------------------ + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) - ------------------------ + -------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 11 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 3 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 69 n ((n - 1) ) (n - 3) 84 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 36 n ((n - 1) ) (n - 3) 3 n (n - 1) (n - 4) + -------------------------- - ----------------------- 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 33 n (n - 1) (n - 4) 141 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 291 n (n - 1) (n - 4) 288 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 6 n n 108 n (n - 1) (n - 4) 6 n (n - 1) (n - 2) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 7 n n 8 n n 9 n (n - 1) (n - 2) 3 n (n - 1) (n - 2) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 2 n (n - 1) (n - 2) 10 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 12 n 4 16 n (n - 1) (n - 2) 8 n (n - 1) (n - 2) 2 n ((n - 1) ) - ----------------------- + ----------------------- + ----------------- 3 n 2 3 3 n 2 3 9 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 15 n 5 15 n 3 n 16 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) + ------------------ - -------------------------- 12 n 5 8 n 4 2 (n - 1) (n ) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 15 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 8 n 4 2 8 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n 2 n 12 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + --------------------------- + ------------------------ 8 n 4 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 7 n ((n - 1) ) (n - 3) 18 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 20 n ((n - 1) ) (n - 3) 8 n ((n - 1) ) (n - 3) - --------------------------- + ------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 6 n ((n - 1) ) (n - 2) 30 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 48 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 6 n ((n - 1) ) (n - 3) 42 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) and in Maple notation 4*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3+42*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 3-108*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+120*n^7*(n-1)^n/(n-1)^3/(n^n) ^2*(n-3)^n/(n-3)^3-48*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-3*n^10*(n-1)^ n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+24*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^ 4-69*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+84*n^7*(n-1)^n/(n-1)^2/(n^n)^2 *(n-3)^n/(n-3)^4-36*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+3*n^12*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-15*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n /(n-2)^2+24*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-12*n^9*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2+6*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-\ 2)^3-30*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3+48*n^10*((n-1)^n)^2/(n -1)^5/(n^n)^3*(n-2)^n/(n-2)^3-24*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^ 3-6*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n -2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3+n^11*((n-1)^n)^3/(n-1)^8/(n ^n)^3-4*n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+1/(n^n)*n^7*(n-3)^n/(n-3)^4-8/(n^n)*n^ 6*(n-3)^n/(n-3)^4+23/(n^n)*n^5*(n-3)^n/(n-3)^4-28/(n^n)*n^4*(n-3)^n/(n-3)^4+12/ (n^n)*n^3*(n-3)^n/(n-3)^4-12*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4+3/(n^n)*n^6*(n-3 )^n/(n-3)^3-15/(n^n)*n^5*(n-3)^n/(n-3)^3+24/(n^n)*n^4*(n-3)^n/(n-3)^3-12/(n^n)* n^3*(n-3)^n/(n-3)^3+3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-9*n^10*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3+6*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -2)^n/(n-2)^3-3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+15*n^8*(n-1)^n/(n-1 )^2/(n^n)^2*(n-3)^n/(n-3)^3-24*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+12*n ^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3-n^13*((n-1)^n)^4/(n-1)^9/(n^n)^4+1/( n^n)*n^7*(n-4)^n/(n-4)^3-8/(n^n)*n^6*(n-4)^n/(n-4)^3+23/(n^n)*n^5*(n-4)^n/(n-4) ^3-28/(n^n)*n^4*(n-4)^n/(n-4)^3+12/(n^n)*n^3*(n-4)^n/(n-4)^3-3*n^14*((n-1)^n)^4 /(n-1)^10/(n^n)^4+12*n^13*((n-1)^n)^4/(n-1)^10/(n^n)^4+3/(n^n)*n^8*(n-4)^n/(n-4 )^4-33/(n^n)*n^7*(n-4)^n/(n-4)^4+141/(n^n)*n^6*(n-4)^n/(n-4)^4-291/(n^n)*n^5*(n -4)^n/(n-4)^4+288/(n^n)*n^4*(n-4)^n/(n-4)^4-108/(n^n)*n^3*(n-4)^n/(n-4)^4+4*n^ 17*((n-1)^n)^5/(n-1)^12/(n^n)^5-16*n^16*((n-1)^n)^5/(n-1)^12/(n^n)^5+1/(n^n)*n^ 9*(n-5)^n/(n-5)^4-15/(n^n)*n^8*(n-5)^n/(n-5)^4+91/(n^n)*n^7*(n-5)^n/(n-5)^4-285 /(n^n)*n^6*(n-5)^n/(n-5)^4+484/(n^n)*n^5*(n-5)^n/(n-5)^4-420/(n^n)*n^4*(n-5)^n/ (n-5)^4+144/(n^n)*n^3*(n-5)^n/(n-5)^4+108*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3 )^n/(n-3)^3-120*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3+48*n^9*((n-1)^ n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-\ 4)^3+20*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-78*n^9*(n-1)^n/(n-1)^3/(n^ n)^2*(n-4)^n/(n-4)^3+148*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-136*n^7*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+48*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n -4)^3-n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+6*n^14*((n-1)^n)^3/(n-1) ^6/(n^n)^4*(n-2)^n/(n-2)^4-11*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+ 6*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+3*n^13*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-3)^n/(n-3)^4-24*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+69*n ^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-84*n^10*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-3)^n/(n-3)^4+36*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-3*n^11* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+33*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^4-141*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+291*n^8*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-4)^n/(n-4)^4-288*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+108*n ^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-6*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^ n/(n-2)^3+9*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-3*n^8*(n-1)^n/(n-1)^2/( n^n)^2*(n-2)^n/(n-2)^3-2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+10*n^8*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-16*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-\ 2)^3+8*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+2*n^12*((n-1)^n)^4/(n-1)^9/( n^n)^4+16*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-3*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4* (n-2)^n/(n-2)^2+15*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^2-24*n^13*((n -1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^2+12*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n -2)^n/(n-2)^2+n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2-7*n^12*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2+18*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^2-20*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2+8*n^9*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2-6*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2) ^3+30*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3-48*n^13*((n-1)^n)^3/(n-1 )^7/(n^n)^4*(n-2)^n/(n-2)^3+24*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3 +6*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-42*n^12*((n-1)^n)^2/(n-1)^5 /(n^n)^3*(n-3)^n/(n-3)^3 The, 3, 3, mixed moment of, X[1], and , X[2], is 13 n n 12 n n 3 n (n - 1) (n - 5) 51 n (n - 1) (n - 5) - ----------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 363 n (n - 1) (n - 5) 1401 n (n - 1) (n - 5) - ------------------------- + -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 3162 n (n - 1) (n - 5) 4164 n (n - 1) (n - 5) - ------------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 2952 n (n - 1) (n - 5) 864 n (n - 1) (n - 5) - ------------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n n ((n - 1) ) (n - 3) 12 n ((n - 1) ) (n - 3) - ------------------------ + --------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 55 n ((n - 1) ) (n - 3) 120 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 124 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 4) 45 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 273 n ((n - 1) ) (n - 4) 855 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 1452 n ((n - 1) ) (n - 4) 1260 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 13 n n 432 n ((n - 1) ) (n - 4) 3 n (n - 1) (n - 5) + --------------------------- - ----------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 12 n n 11 n n 57 n (n - 1) (n - 5) 453 n (n - 1) (n - 5) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 1947 n (n - 1) (n - 5) 4872 n (n - 1) (n - 5) + -------------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 7068 n (n - 1) (n - 5) 5472 n (n - 1) (n - 5) + ------------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 12 n 4 9 n n 1728 n (n - 1) (n - 5) 8 n ((n - 1) ) 63 n (n - 1) (n - 3) + ------------------------- + ----------------- + ----------------------- 2 n 2 5 11 n 4 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 1) (n ) (n - 3) 8 n n 7 n n 162 n (n - 1) (n - 3) 180 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 10 n n 72 n (n - 1) (n - 3) 9 n (n - 1) (n - 3) - ----------------------- - ----------------------- 3 n 2 3 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 72 n (n - 1) (n - 3) 207 n (n - 1) (n - 3) + ----------------------- - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 252 n (n - 1) (n - 3) 108 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 9 n ((n - 1) ) (n - 2) 45 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 72 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 13 n 2 n 9 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) - ----------------------- + -------------------------- 3 n 2 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 21 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 60 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 3 n (n - 1) (n - 3) 30 n (n - 1) (n - 3) - ----------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 117 n (n - 1) (n - 3) 222 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 204 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) - ------------------------ + ----------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 9 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 288 n ((n - 1) ) (n - 3) 504 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 432 n ((n - 1) ) (n - 3) 144 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 13 n 2 n 3 n ((n - 1) ) (n - 4) 177 n ((n - 1) ) (n - 4) + -------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 456 n ((n - 1) ) (n - 4) 648 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 480 n ((n - 1) ) (n - 4) 144 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 19 n 4 n 36 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 6 n 3 3 9 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 24 n ((n - 1) ) (n - 2) 69 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 84 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 20 n 6 19 n 6 5 n ((n - 1) ) 30 n ((n - 1) ) 60 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 15 n 6 15 n 6 15 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 11 n 10 n 9 n 8 n n (n - 6) 24 n (n - 6) 246 n (n - 6) 1404 n (n - 6) + ------------ - --------------- + --------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) n (n - 6) 7 n 6 n 5 n 4869 n (n - 6) 10476 n (n - 6) 13604 n (n - 6) + ---------------- - ----------------- + ----------------- n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) 4 n 3 n n 5 n 4 9696 n (n - 6) 2880 n (n - 6) (n - 2) n 3 (n - 2) n - ---------------- + ---------------- + ----------- - ------------- n 5 n 5 3 n 3 n n (n - 6) n (n - 6) (n - 2) n (n - 2) n n 3 16 n 3 n 15 n 3 n 2 (n - 2) n 3 n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) + ------------- - -------------------------- + --------------------------- 3 n 9 n 4 2 9 n 4 2 (n - 2) n (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 54 n ((n - 1) ) (n - 2) 60 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 16 n 3 n 24 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) - --------------------------- - -------------------------- 9 n 4 2 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 63 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 180 n ((n - 1) ) (n - 2) 72 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 9 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 288 n ((n - 1) ) (n - 3) 504 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 432 n ((n - 1) ) (n - 3) 144 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 9 n ((n - 1) ) (n - 3) 90 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 351 n ((n - 1) ) (n - 3) 666 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 612 n ((n - 1) ) (n - 3) 216 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 9 n (n - 1) (n - 4) 117 n (n - 1) (n - 4) - ----------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 621 n (n - 1) (n - 4) 1719 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 2610 n (n - 1) (n - 4) 2052 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 12 n n 648 n (n - 1) (n - 4) 3 n (n - 1) (n - 4) - ------------------------ - ----------------------- 3 n 2 4 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 45 n (n - 1) (n - 4) 273 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 855 n (n - 1) (n - 4) 1452 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 7 n 1260 n (n - 1) (n - 4) 432 n (n - 1) (n - 4) 3 n (n - 3) + ------------------------- - ------------------------ + ------------- 2 n 2 5 2 n 2 5 n 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) n (n - 3) 6 n 5 n 4 n 3 n 24 n (n - 3) 69 n (n - 3) 84 n (n - 3) 36 n (n - 3) - -------------- + -------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 10 n 9 n 8 n 7 n 3 n (n - 5) 57 n (n - 5) 453 n (n - 5) 1947 n (n - 5) + -------------- - -------------- + --------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 4872 n (n - 5) 7068 n (n - 5) 5472 n (n - 5) + ---------------- - ---------------- + ---------------- n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) 3 n 15 n 5 15 n 4 1728 n (n - 5) 24 n ((n - 1) ) n ((n - 1) ) - ---------------- - ------------------ - --------------- n 5 13 n 5 11 n 4 n (n - 5) (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 9 n 8 n 6 n ((n - 1) ) 12 n ((n - 1) ) n (n - 4) 15 n (n - 4) + ----------------- - ------------------ + ----------- - -------------- 11 n 4 11 n 4 n 5 n 5 (n - 1) (n ) (n - 1) (n ) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 91 n (n - 4) 285 n (n - 4) 484 n (n - 4) 420 n (n - 4) + -------------- - --------------- + --------------- - --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 18 n 5 17 n 5 144 n (n - 4) 3 n ((n - 1) ) 18 n ((n - 1) ) + --------------- + ----------------- - ------------------ n 5 13 n 5 13 n 5 n (n - 4) (n - 1) (n ) (n - 1) (n ) 16 n 5 17 n 3 n 36 n ((n - 1) ) 9 n ((n - 1) ) (n - 3) + ------------------ - -------------------------- 13 n 5 7 n 4 4 (n - 1) (n ) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 90 n ((n - 1) ) (n - 3) 351 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 666 n ((n - 1) ) (n - 3) 612 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 2 n 216 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 4) + ---------------------------- + -------------------------- 7 n 4 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 117 n ((n - 1) ) (n - 4) 621 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1719 n ((n - 1) ) (n - 4) 2610 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 2052 n ((n - 1) ) (n - 4) 648 n ((n - 1) ) (n - 4) - ----------------------------- + --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n 5 n 4 n 3 n 3 n (n - 3) 15 n (n - 3) 24 n (n - 3) 12 n (n - 3) + ------------- - -------------- + -------------- - -------------- n 3 n 3 n 3 n 3 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 11 n 2 n 10 n 2 n 3 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 9 n n 6 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) + ------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 8 n n 7 n n 15 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 4 7 n 6 n 12 n (n - 1) (n - 3) n ((n - 1) ) n (n - 4) 8 n (n - 4) + ----------------------- - --------------- + ----------- - ------------- 2 n 2 3 9 n 4 n 3 n 3 (n - 1) (n ) (n - 3) (n - 1) (n ) n (n - 4) n (n - 4) 5 n 4 n 3 n 8 n 23 n (n - 4) 28 n (n - 4) 12 n (n - 4) 9 n (n - 4) + -------------- - -------------- + -------------- + ------------- n 3 n 3 n 3 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 99 n (n - 4) 423 n (n - 4) 873 n (n - 4) 864 n (n - 4) - -------------- + --------------- - --------------- + --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 17 n 5 16 n 5 9 n 324 n (n - 4) 3 n ((n - 1) ) 12 n ((n - 1) ) 3 n (n - 5) - --------------- + ----------------- - ------------------ + ------------- n 4 12 n 5 12 n 5 n 4 n (n - 4) (n - 1) (n ) (n - 1) (n ) n (n - 5) 8 n 7 n 6 n 5 n 45 n (n - 5) 273 n (n - 5) 855 n (n - 5) 1452 n (n - 5) - -------------- + --------------- - --------------- + ---------------- n 4 n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 11 n 2 n 1260 n (n - 5) 432 n (n - 5) 162 n ((n - 1) ) (n - 3) - ---------------- + --------------- + ---------------------------- n 4 n 4 5 n 3 3 n (n - 5) n (n - 5) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 180 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 3 n (n - 1) (n - 4) 30 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 117 n (n - 1) (n - 4) 222 n (n - 1) (n - 4) - ------------------------ + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 204 n (n - 1) (n - 4) 72 n (n - 1) (n - 4) - ------------------------ + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 3 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 33 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 9 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 207 n ((n - 1) ) (n - 3) 252 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 108 n ((n - 1) ) (n - 3) 9 n (n - 1) (n - 4) + --------------------------- - ----------------------- 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 99 n (n - 1) (n - 4) 423 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 873 n (n - 1) (n - 4) 864 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 19 n 4 n 324 n (n - 1) (n - 4) 3 n ((n - 1) ) (n - 2) + ------------------------ + -------------------------- 2 n 2 4 11 n 5 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 21 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 11 n 5 2 11 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 60 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 11 n 5 2 11 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ------------------------ + -------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 32 n ((n - 1) ) (n - 3) 56 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 48 n ((n - 1) ) (n - 3) 16 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 9 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 162 n ((n - 1) ) (n - 2) 180 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 6 72 n ((n - 1) ) (n - 2) 40 n ((n - 1) ) + --------------------------- + ------------------ 10 n 5 3 15 n 6 (n - 1) (n ) (n - 2) (n - 1) (n ) 6 n n 7 n n 6 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 9 n n 3 n (n - 1) (n - 2) 3 n (n - 1) (n - 2) - ----------------------- - ----------------------- 2 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 15 n (n - 1) (n - 2) 24 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 12 n 4 15 n 5 12 n (n - 1) (n - 2) 2 n ((n - 1) ) 12 n ((n - 1) ) + ----------------------- + ----------------- + ------------------ 3 n 2 3 9 n 4 12 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 15 n 3 n 14 n 3 n 9 n ((n - 1) ) (n - 2) 45 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 72 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 9 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) and in Maple notation -3*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+51*n^12*(n-1)^n/(n-1)^3/(n^n)^2 *(n-5)^n/(n-5)^4-363*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+1401*n^10*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-3162*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/( n-5)^4+4164*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-2952*n^7*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-5)^n/(n-5)^4+864*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-n^17* ((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5+12*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4 *(n-3)^n/(n-3)^5-55*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5+120*n^14*( (n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5-124*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4 *(n-3)^n/(n-3)^5+48*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5+3*n^15*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-45*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -4)^n/(n-4)^5+273*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-855*n^12*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5+1452*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3* (n-4)^n/(n-4)^5-1260*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5+432*n^9*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-3*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5) ^n/(n-5)^5+57*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-453*n^11*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-5)^n/(n-5)^5+1947*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-\ 4872*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+7068*n^8*(n-1)^n/(n-1)^2/(n^n) ^2*(n-5)^n/(n-5)^5-5472*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+1728*n^6*(n -1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+8*n^12*((n-1)^n)^4/(n-1)^11/(n^n)^4+63*n^ 9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-162*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^3+180*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-72*n^6*(n-1)^n/(n-1) ^3/(n^n)^2*(n-3)^n/(n-3)^3-9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+72*n^ 9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-207*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^4+252*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-108*n^6*(n-1)^n/(n-1 )^2/(n^n)^2*(n-3)^n/(n-3)^4+9*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-\ 45*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3+72*n^10*((n-1)^n)^2/(n-1)^5 /(n^n)^3*(n-2)^n/(n-2)^3-36*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-9*n ^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+3*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-2)^n/(n-2)^3-21*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+54*n^11*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-60*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -2)^n/(n-2)^3+24*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-3*n^11*(n-1)^n /(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+30*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 4-117*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+222*n^8*(n-1)^n/(n-1)^3/(n^n) ^2*(n-3)^n/(n-3)^4-204*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+72*n^6*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-9*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/( n-3)^3+81*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3-288*n^15*((n-1)^n)^3 /(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+504*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/( n-3)^3-432*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+144*n^12*((n-1)^n)^ 3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+3*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n -4)^3+177*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3-456*n^12*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3+648*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/( n-4)^3-480*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3+144*n^9*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3-36*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n -4)^3+3*n^19*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^4-24*n^18*((n-1)^n)^4/(n -1)^9/(n^n)^5*(n-2)^n/(n-2)^4+69*n^17*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2) ^4-84*n^16*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^4+36*n^15*((n-1)^n)^4/(n-1 )^9/(n^n)^5*(n-2)^n/(n-2)^4-5*n^21*((n-1)^n)^6/(n-1)^15/(n^n)^6+30*n^20*((n-1)^ n)^6/(n-1)^15/(n^n)^6-60*n^19*((n-1)^n)^6/(n-1)^15/(n^n)^6+1/(n^n)*n^11*(n-6)^n /(n-6)^5-24/(n^n)*n^10*(n-6)^n/(n-6)^5+246/(n^n)*n^9*(n-6)^n/(n-6)^5-1404/(n^n) *n^8*(n-6)^n/(n-6)^5+4869/(n^n)*n^7*(n-6)^n/(n-6)^5-10476/(n^n)*n^6*(n-6)^n/(n-\ 6)^5+13604/(n^n)*n^5*(n-6)^n/(n-6)^5-9696/(n^n)*n^4*(n-6)^n/(n-6)^5+2880/(n^n)* n^3*(n-6)^n/(n-6)^5+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-\ 2)^n/(n-2)^3/(n^n)*n^3-3*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2+21*n^ 15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-54*n^14*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-2)^n/(n-2)^2+60*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-24*n^12 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-9*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4 *(n-2)^n/(n-2)^3+63*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-162*n^14*( (n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+180*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4 *(n-2)^n/(n-2)^3-72*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+9*n^14*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-81*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -3)^n/(n-3)^3+288*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-504*n^11*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+432*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-3)^n/(n-3)^3-144*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+9*n^14*((n-1 )^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-90*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3 )^n/(n-3)^4+351*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-666*n^11*((n-1 )^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+612*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-\ 3)^n/(n-3)^4-216*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-9*n^12*(n-1)^n /(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+117*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4) ^4-621*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+1719*n^9*(n-1)^n/(n-1)^3/(n ^n)^2*(n-4)^n/(n-4)^4-2610*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+2052*n^7 *(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-648*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^ n/(n-4)^4-3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+45*n^11*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-4)^n/(n-4)^5-273*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+855* n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-1452*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^5+1260*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-432*n^6*(n-1)^n/ (n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+3/(n^n)*n^7*(n-3)^n/(n-3)^4-24/(n^n)*n^6*(n-3)^ n/(n-3)^4+69/(n^n)*n^5*(n-3)^n/(n-3)^4-84/(n^n)*n^4*(n-3)^n/(n-3)^4+36/(n^n)*n^ 3*(n-3)^n/(n-3)^4+3/(n^n)*n^10*(n-5)^n/(n-5)^5-57/(n^n)*n^9*(n-5)^n/(n-5)^5+453 /(n^n)*n^8*(n-5)^n/(n-5)^5-1947/(n^n)*n^7*(n-5)^n/(n-5)^5+4872/(n^n)*n^6*(n-5)^ n/(n-5)^5-7068/(n^n)*n^5*(n-5)^n/(n-5)^5+5472/(n^n)*n^4*(n-5)^n/(n-5)^5-1728/(n ^n)*n^3*(n-5)^n/(n-5)^5-24*n^15*((n-1)^n)^5/(n-1)^13/(n^n)^5-n^15*((n-1)^n)^4/( n-1)^11/(n^n)^4+6*n^14*((n-1)^n)^4/(n-1)^11/(n^n)^4-12*n^13*((n-1)^n)^4/(n-1)^ 11/(n^n)^4+1/(n^n)*n^9*(n-4)^n/(n-4)^5-15/(n^n)*n^8*(n-4)^n/(n-4)^5+91/(n^n)*n^ 7*(n-4)^n/(n-4)^5-285/(n^n)*n^6*(n-4)^n/(n-4)^5+484/(n^n)*n^5*(n-4)^n/(n-4)^5-\ 420/(n^n)*n^4*(n-4)^n/(n-4)^5+144/(n^n)*n^3*(n-4)^n/(n-4)^5+3*n^18*((n-1)^n)^5/ (n-1)^13/(n^n)^5-18*n^17*((n-1)^n)^5/(n-1)^13/(n^n)^5+36*n^16*((n-1)^n)^5/(n-1) ^13/(n^n)^5-9*n^17*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+90*n^16*((n-1)^n )^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4-351*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^ n/(n-3)^4+666*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4-612*n^13*((n-1)^ n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+216*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3) ^n/(n-3)^4+9*n^15*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-117*n^14*((n-1)^n )^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+621*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^ n/(n-4)^4-1719*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+2610*n^11*((n-1 )^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-2052*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n -4)^n/(n-4)^4+648*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+3/(n^n)*n^6*( n-3)^n/(n-3)^3-15/(n^n)*n^5*(n-3)^n/(n-3)^3+24/(n^n)*n^4*(n-3)^n/(n-3)^3-12/(n^ n)*n^3*(n-3)^n/(n-3)^3+3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-9*n^ 10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3+6*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^ 3*(n-2)^n/(n-2)^3-3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+15*n^8*(n-1)^n/ (n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3-24*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+ 12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3-n^13*((n-1)^n)^4/(n-1)^9/(n^n)^4 +1/(n^n)*n^7*(n-4)^n/(n-4)^3-8/(n^n)*n^6*(n-4)^n/(n-4)^3+23/(n^n)*n^5*(n-4)^n/( n-4)^3-28/(n^n)*n^4*(n-4)^n/(n-4)^3+12/(n^n)*n^3*(n-4)^n/(n-4)^3+9/(n^n)*n^8*(n -4)^n/(n-4)^4-99/(n^n)*n^7*(n-4)^n/(n-4)^4+423/(n^n)*n^6*(n-4)^n/(n-4)^4-873/(n ^n)*n^5*(n-4)^n/(n-4)^4+864/(n^n)*n^4*(n-4)^n/(n-4)^4-324/(n^n)*n^3*(n-4)^n/(n-\ 4)^4+3*n^17*((n-1)^n)^5/(n-1)^12/(n^n)^5-12*n^16*((n-1)^n)^5/(n-1)^12/(n^n)^5+3 /(n^n)*n^9*(n-5)^n/(n-5)^4-45/(n^n)*n^8*(n-5)^n/(n-5)^4+273/(n^n)*n^7*(n-5)^n/( n-5)^4-855/(n^n)*n^6*(n-5)^n/(n-5)^4+1452/(n^n)*n^5*(n-5)^n/(n-5)^4-1260/(n^n)* n^4*(n-5)^n/(n-5)^4+432/(n^n)*n^3*(n-5)^n/(n-5)^4+162*n^11*((n-1)^n)^2/(n-1)^5/ (n^n)^3*(n-3)^n/(n-3)^3-180*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3+72 *n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-3*n^11*(n-1)^n/(n-1)^3/(n^n)^2 *(n-4)^n/(n-4)^3+30*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-117*n^9*(n-1)^ n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+222*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4) ^3-204*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+72*n^6*(n-1)^n/(n-1)^3/(n^n) ^2*(n-4)^n/(n-4)^3-3*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+18*n^14*( (n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4-33*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4* (n-2)^n/(n-2)^4+18*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+9*n^13*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-72*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 3)^n/(n-3)^4+207*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-252*n^10*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+108*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 3)^n/(n-3)^4-9*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+99*n^10*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-4)^n/(n-4)^4-423*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+ 873*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-864*n^7*(n-1)^n/(n-1)^2/(n^n)^2 *(n-4)^n/(n-4)^4+324*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+3*n^19*((n-1)^ n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^2-21*n^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2 )^n/(n-2)^2+54*n^17*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^2-60*n^16*((n-1) ^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^2+24*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-\ 2)^n/(n-2)^2-n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2+9*n^16*((n-1)^n)^ 3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2-32*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/( n-3)^2+56*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2-48*n^13*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2+16*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-\ 3)^2+9*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3-63*n^18*((n-1)^n)^4/(n -1)^10/(n^n)^5*(n-2)^n/(n-2)^3+162*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n -2)^3-180*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3+72*n^15*((n-1)^n)^4 /(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3+40*n^18*((n-1)^n)^6/(n-1)^15/(n^n)^6-6*n^6*(n -1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+9*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-\ 2)^3-3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-3*n^9*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-2)^n/(n-2)^3+15*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-24*n^7*(n-1)^n /(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+12*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3 +2*n^12*((n-1)^n)^4/(n-1)^9/(n^n)^4+12*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-9*n^15 *((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+45*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^ 4*(n-2)^n/(n-2)^3-72*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+36*n^12*( (n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+9*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*( n-3)^n/(n-3)^3-63*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3 The, 3, 4, mixed moment of, X[1], and , X[2], is 13 n n 12 n n 12 n (n - 1) (n - 5) 204 n (n - 1) (n - 5) - ------------------------ + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 1452 n (n - 1) (n - 5) 5604 n (n - 1) (n - 5) - -------------------------- + -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 12648 n (n - 1) (n - 5) 16656 n (n - 1) (n - 5) - -------------------------- + -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 11808 n (n - 1) (n - 5) 3456 n (n - 1) (n - 5) - -------------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n 6 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 330 n ((n - 1) ) (n - 3) 720 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 744 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 18 n ((n - 1) ) (n - 4) 270 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 1638 n ((n - 1) ) (n - 4) 5130 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 8712 n ((n - 1) ) (n - 4) 7560 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 13 n n 2592 n ((n - 1) ) (n - 4) 18 n (n - 1) (n - 5) + ---------------------------- - ------------------------ 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 12 n n 11 n n 342 n (n - 1) (n - 5) 2718 n (n - 1) (n - 5) + ------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 11682 n (n - 1) (n - 5) 29232 n (n - 1) (n - 5) + --------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 42408 n (n - 1) (n - 5) 32832 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 15 n 5 10368 n (n - 1) (n - 5) 16 n ((n - 1) ) + -------------------------- + ------------------ 2 n 2 5 14 n 5 (n - 1) (n ) (n - 5) (n - 1) (n ) 9 n n 8 n n 84 n (n - 1) (n - 3) 216 n (n - 1) (n - 3) + ----------------------- - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 240 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) + ------------------------ - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 21 n (n - 1) (n - 3) 168 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 483 n (n - 1) (n - 3) 588 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 2 n 252 n (n - 1) (n - 3) 12 n ((n - 1) ) (n - 2) - ------------------------ + --------------------------- 2 n 2 4 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 60 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 48 n ((n - 1) ) (n - 2) 12 n (n - 1) (n - 3) - -------------------------- - ------------------------ 5 n 3 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 6 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 108 n ((n - 1) ) (n - 2) 120 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 48 n ((n - 1) ) (n - 2) 12 n (n - 1) (n - 3) + -------------------------- - ------------------------ 6 n 3 3 3 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 10 n n 9 n n 120 n (n - 1) (n - 3) 468 n (n - 1) (n - 3) + ------------------------- - ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 888 n (n - 1) (n - 3) 816 n (n - 1) (n - 3) + ------------------------ - ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n 3 n 288 n (n - 1) (n - 3) 18 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 3 n 2 4 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 162 n ((n - 1) ) (n - 3) 576 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1008 n ((n - 1) ) (n - 3) 864 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 2 n 288 n ((n - 1) ) (n - 3) 6 n ((n - 1) ) (n - 4) + ---------------------------- + -------------------------- 8 n 4 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 354 n ((n - 1) ) (n - 4) 912 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 1296 n ((n - 1) ) (n - 4) 960 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n 2 n 288 n ((n - 1) ) (n - 4) 72 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 12 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 276 n ((n - 1) ) (n - 2) 336 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 6 20 n 6 144 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) 36 n ((n - 1) ) + ---------------------------- - ----------------- + ------------------ 9 n 5 4 15 n 6 15 n 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 19 n 6 11 n 10 n 72 n ((n - 1) ) 6 n (n - 6) 144 n (n - 6) - ------------------ + -------------- - ---------------- 15 n 6 n 5 n 5 (n - 1) (n ) n (n - 6) n (n - 6) 9 n 8 n 7 n 1476 n (n - 6) 8424 n (n - 6) 29214 n (n - 6) + ---------------- - ---------------- + ----------------- n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) 6 n 5 n 4 n 62856 n (n - 6) 81624 n (n - 6) 58176 n (n - 6) - ----------------- + ----------------- - ----------------- n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) 3 n n 5 n 4 n 3 17280 n (n - 6) (n - 2) n 3 (n - 2) n 2 (n - 2) n + ----------------- + ----------- - ------------- + ------------- n 5 3 n 3 n 3 n n (n - 6) (n - 2) n (n - 2) n (n - 2) n 16 n 3 n 15 n 3 n 18 n ((n - 1) ) (n - 2) 126 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 324 n ((n - 1) ) (n - 2) 360 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 14 n 2 n 144 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 8 n 4 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 162 n ((n - 1) ) (n - 3) 576 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1008 n ((n - 1) ) (n - 3) 864 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 14 n 2 n 288 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 6 n 3 3 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 360 n ((n - 1) ) (n - 3) 1404 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 2664 n ((n - 1) ) (n - 3) 2448 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 864 n ((n - 1) ) (n - 3) 36 n (n - 1) (n - 4) - --------------------------- - ------------------------ 5 n 3 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 11 n n 10 n n 468 n (n - 1) (n - 4) 2484 n (n - 1) (n - 4) + ------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 6876 n (n - 1) (n - 4) 10440 n (n - 1) (n - 4) + ------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 8208 n (n - 1) (n - 4) 2592 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 18 n (n - 1) (n - 4) 270 n (n - 1) (n - 4) - ------------------------ + ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 1638 n (n - 1) (n - 4) 5130 n (n - 1) (n - 4) - -------------------------- + ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 8712 n (n - 1) (n - 4) 7560 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 7 n 6 n 2592 n (n - 1) (n - 4) 7 n (n - 3) 56 n (n - 3) - ------------------------- + ------------- - -------------- 2 n 2 5 n 4 n 4 (n - 1) (n ) (n - 4) n (n - 3) n (n - 3) 5 n 4 n 3 n 10 n 161 n (n - 3) 196 n (n - 3) 84 n (n - 3) 18 n (n - 5) + --------------- - --------------- + -------------- + --------------- n 4 n 4 n 4 n 5 n (n - 3) n (n - 3) n (n - 3) n (n - 5) 9 n 8 n 7 n 342 n (n - 5) 2718 n (n - 5) 11682 n (n - 5) - --------------- + ---------------- - ----------------- n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 29232 n (n - 5) 42408 n (n - 5) 32832 n (n - 5) + ----------------- - ----------------- + ----------------- n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) 3 n 22 n 6 21 n 6 10368 n (n - 5) 3 n ((n - 1) ) 24 n ((n - 1) ) - ----------------- - ----------------- + ------------------ n 5 16 n 6 16 n 6 n (n - 5) (n - 1) (n ) (n - 1) (n ) 20 n 6 19 n 6 12 n 72 n ((n - 1) ) 96 n ((n - 1) ) 3 n (n - 6) - ------------------ + ------------------ + -------------- 16 n 6 16 n 6 n 6 (n - 1) (n ) (n - 1) (n ) n (n - 6) 11 n 10 n 9 n 87 n (n - 6) 1098 n (n - 6) 7902 n (n - 6) - --------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 8 n 7 n 6 n 35667 n (n - 6) 104463 n (n - 6) 197952 n (n - 6) + ----------------- - ------------------ + ------------------ n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 5 n 4 n 3 n 233148 n (n - 6) 154080 n (n - 6) 43200 n (n - 6) - ------------------ + ------------------ - ----------------- n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 9 n 8 n 7 n 6 n 6 n (n - 4) 90 n (n - 4) 546 n (n - 4) 1710 n (n - 4) + ------------- - -------------- + --------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 2904 n (n - 4) 2520 n (n - 4) 864 n (n - 4) + ---------------- - ---------------- + --------------- n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) 25 n 7 24 n 7 23 n 7 6 n ((n - 1) ) 48 n ((n - 1) ) 144 n ((n - 1) ) + ----------------- - ------------------ + ------------------- 18 n 7 18 n 7 18 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 22 n 7 13 n 12 n 11 n 192 n ((n - 1) ) n (n - 7) 35 n (n - 7) 540 n (n - 7) - ------------------- + ------------ - --------------- + ---------------- 18 n 7 n 6 n 6 n 6 (n - 1) (n ) n (n - 7) n (n - 7) n (n - 7) 10 n 9 n 8 n 4830 n (n - 7) 27693 n (n - 7) 106155 n (n - 7) - ----------------- + ----------------- - ------------------ n 6 n 6 n 6 n (n - 7) n (n - 7) n (n - 7) 7 n 6 n 5 n 274910 n (n - 7) 473620 n (n - 7) 517656 n (n - 7) + ------------------ - ------------------ + ------------------ n 6 n 6 n 6 n (n - 7) n (n - 7) n (n - 7) 4 n 3 n 17 n 3 n 322560 n (n - 7) 86400 n (n - 7) 36 n ((n - 1) ) (n - 3) - ------------------ + ----------------- - --------------------------- n 6 n 6 7 n 4 4 n (n - 7) n (n - 7) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 360 n ((n - 1) ) (n - 3) 1404 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 2664 n ((n - 1) ) (n - 3) 2448 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 2 n 864 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 4) + ---------------------------- + --------------------------- 7 n 4 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 468 n ((n - 1) ) (n - 4) 2484 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 6876 n ((n - 1) ) (n - 4) 10440 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 8208 n ((n - 1) ) (n - 4) 2592 n ((n - 1) ) (n - 4) - ----------------------------- + ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 18 n 3 n 384 n ((n - 1) ) (n - 3) 18 n ((n - 1) ) (n - 3) - ---------------------------- - --------------------------- 9 n 4 3 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 216 n ((n - 1) ) (n - 3) 1062 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 2736 n ((n - 1) ) (n - 3) 3888 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 2880 n ((n - 1) ) (n - 3) 864 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 18 n ((n - 1) ) (n - 4) 270 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1710 n ((n - 1) ) (n - 4) 5922 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 12096 n ((n - 1) ) (n - 4) 14544 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 9504 n ((n - 1) ) (n - 4) 2592 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 204 n ((n - 1) ) (n - 4) 1452 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 6 n 5 n 5604 n ((n - 1) ) (n - 4) 3 n (n - 3) 15 n (n - 3) - ----------------------------- + ------------- - -------------- 5 n 3 5 n 3 n 3 (n - 1) (n ) (n - 4) n (n - 3) n (n - 3) 4 n 3 n 12 n 2 n 24 n (n - 3) 12 n (n - 3) 12648 n ((n - 1) ) (n - 4) + -------------- - -------------- + ------------------------------ n 3 n 3 5 n 3 5 n (n - 3) n (n - 3) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 16656 n ((n - 1) ) (n - 4) 11808 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n 2 n 3456 n ((n - 1) ) (n - 4) 12 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 12 n (n - 1) (n - 5) 252 n (n - 1) (n - 5) - ------------------------ + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 2268 n (n - 1) (n - 5) 11412 n (n - 1) (n - 5) - -------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 35064 n (n - 1) (n - 5) 67248 n (n - 1) (n - 5) - --------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 78432 n (n - 1) (n - 5) 50688 n (n - 1) (n - 5) - -------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 14 n n 13824 n (n - 1) (n - 5) 3 n (n - 1) (n - 5) - -------------------------- - ----------------------- 3 n 2 5 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 72 n (n - 1) (n - 5) 738 n (n - 1) (n - 5) + ------------------------ - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 4212 n (n - 1) (n - 5) 14607 n (n - 1) (n - 5) + -------------------------- - --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 31428 n (n - 1) (n - 5) 40812 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 29088 n (n - 1) (n - 5) 8640 n (n - 1) (n - 5) + -------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 11808 n ((n - 1) ) (n - 4) 3456 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 17 n 2 n 12 n ((n - 1) ) (n - 4) 12 n ((n - 1) ) (n - 5) - --------------------------- + --------------------------- 7 n 4 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 252 n ((n - 1) ) (n - 5) 2268 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 11412 n ((n - 1) ) (n - 5) 35064 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 67248 n ((n - 1) ) (n - 5) 78432 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 50688 n ((n - 1) ) (n - 5) 13824 n ((n - 1) ) (n - 5) - ------------------------------ + ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 3 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 9 n n 6 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) + ------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 8 n n 7 n n 15 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 4 7 n 6 n 12 n (n - 1) (n - 3) n ((n - 1) ) n (n - 4) 8 n (n - 4) + ----------------------- - --------------- + ----------- - ------------- 2 n 2 3 9 n 4 n 3 n 3 (n - 1) (n ) (n - 3) (n - 1) (n ) n (n - 4) n (n - 4) 5 n 4 n 3 n 23 n (n - 4) 28 n (n - 4) 12 n (n - 4) + -------------- - -------------- + -------------- n 3 n 3 n 3 n (n - 4) n (n - 4) n (n - 4) 17 n 3 n 16 n 3 n 4 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 128 n ((n - 1) ) (n - 2) 224 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 192 n ((n - 1) ) (n - 2) 64 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 6 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 354 n ((n - 1) ) (n - 3) 912 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1296 n ((n - 1) ) (n - 3) 960 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 288 n ((n - 1) ) (n - 3) 68 n (n - 1) (n - 4) + --------------------------- + ------------------------ 6 n 3 4 3 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 11 n n 10 n n 484 n (n - 1) (n - 4) 1868 n (n - 1) (n - 4) - ------------------------- + -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 4216 n (n - 1) (n - 4) 5552 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 3936 n (n - 1) (n - 4) 1152 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 8 n 7 n 4 n (n - 1) (n - 4) 21 n (n - 4) 231 n (n - 4) - ----------------------- + -------------- - --------------- 3 n 2 5 n 4 n 4 (n - 1) (n ) (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 3 n 987 n (n - 4) 2037 n (n - 4) 2016 n (n - 4) 756 n (n - 4) + --------------- - ---------------- + ---------------- - --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 23 n 5 n 22 n 5 n 6 n ((n - 1) ) (n - 2) 60 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 6 4 12 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 234 n ((n - 1) ) (n - 2) 444 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 6 4 12 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 408 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 6 4 12 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 18 n ((n - 1) ) (n - 3) 216 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1062 n ((n - 1) ) (n - 3) 2736 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 3888 n ((n - 1) ) (n - 3) 2880 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 19 n 3 n 864 n ((n - 1) ) (n - 3) 18 n ((n - 1) ) (n - 4) + ---------------------------- - --------------------------- 10 n 5 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 270 n ((n - 1) ) (n - 4) 1710 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 5922 n ((n - 1) ) (n - 4) 12096 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 14544 n ((n - 1) ) (n - 4) 9504 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 5 n 20 n 5 n 384 n ((n - 1) ) (n - 2) 672 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 576 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 12 n ((n - 1) ) (n - 3) 132 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 600 n ((n - 1) ) (n - 3) 1440 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1920 n ((n - 1) ) (n - 3) 1344 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 19 n 3 n 384 n ((n - 1) ) (n - 3) 4 n ((n - 1) ) (n - 4) + ---------------------------- - -------------------------- 11 n 5 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 18 n 3 n 16 n 3 n 56 n ((n - 1) ) (n - 4) 1080 n ((n - 1) ) (n - 4) + --------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 2080 n ((n - 1) ) (n - 4) 2368 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 1472 n ((n - 1) ) (n - 4) 384 n ((n - 1) ) (n - 4) - ----------------------------- + ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 23 n 5 n 332 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 2) - ---------------------------- - -------------------------- 9 n 4 3 14 n 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 27 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 168 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 21 n 4 n 48 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + --------------------------- + ------------------------ 14 n 6 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 20 n 4 n 17 n 4 n 11 n ((n - 1) ) (n - 3) 160 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 112 n ((n - 1) ) (n - 3) 32 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 19 n 4 n 120 n ((n - 1) ) (n - 3) 50 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 5 n 22 n 5 n 12 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 7 19 n 3 n 96 n ((n - 1) ) n ((n - 1) ) (n - 4) + ------------------ - ------------------------ 18 n 7 6 n 4 6 (n - 1) (n ) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 20 n ((n - 1) ) (n - 4) 166 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 740 n ((n - 1) ) (n - 4) 1909 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 2840 n ((n - 1) ) (n - 4) 2244 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 17 n 2 n 720 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 5) + ---------------------------- + -------------------------- 6 n 4 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 72 n ((n - 1) ) (n - 5) 738 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 4212 n ((n - 1) ) (n - 5) 14607 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------ 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 31428 n ((n - 1) ) (n - 5) 40812 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 29088 n ((n - 1) ) (n - 5) 8640 n ((n - 1) ) (n - 5) - ------------------------------ + ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n n 14 n n 3 n (n - 1) (n - 6) 87 n (n - 1) (n - 6) - ----------------------- + ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n n 12 n n 1098 n (n - 1) (n - 6) 7902 n (n - 1) (n - 6) - -------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 10 n n 35667 n (n - 1) (n - 6) 104463 n (n - 1) (n - 6) - --------------------------- + ---------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 197952 n (n - 1) (n - 6) 233148 n (n - 1) (n - 6) - --------------------------- + --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 11 n 154080 n (n - 1) (n - 6) 43200 n (n - 1) (n - 6) n (n - 5) - --------------------------- + -------------------------- + ------------ 2 n 2 6 2 n 2 6 n 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) n (n - 5) 10 n 9 n 8 n 7 n 24 n (n - 5) 246 n (n - 5) 1404 n (n - 5) 4869 n (n - 5) - --------------- + --------------- - ---------------- + ---------------- n 6 n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 10476 n (n - 5) 13604 n (n - 5) 9696 n (n - 5) - ----------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 3 n 19 n 5 18 n 5 2880 n (n - 5) n ((n - 1) ) 8 n ((n - 1) ) + ---------------- + --------------- - ----------------- n 6 14 n 5 14 n 5 n (n - 5) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 17 n 5 24 n ((n - 1) ) 32 n ((n - 1) ) 4 n ((n - 1) ) + ------------------ - ------------------ + ----------------- 14 n 5 14 n 5 12 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 16 n 5 9 n 8 n 7 n 16 n ((n - 1) ) 7 n (n - 5) 105 n (n - 5) 637 n (n - 5) - ------------------ + ------------- - --------------- + --------------- 12 n 5 n 4 n 4 n 4 (n - 1) (n ) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 1995 n (n - 5) 3388 n (n - 5) 2940 n (n - 5) - ---------------- + ---------------- - ---------------- n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) 3 n 11 n 2 n 1008 n (n - 5) 216 n ((n - 1) ) (n - 3) + ---------------- + ---------------------------- n 4 5 n 3 3 n (n - 5) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 240 n ((n - 1) ) (n - 3) 96 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 4 n (n - 1) (n - 4) 40 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 156 n (n - 1) (n - 4) 296 n (n - 1) (n - 4) - ------------------------ + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 272 n (n - 1) (n - 4) 96 n (n - 1) (n - 4) - ------------------------ + ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 7 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 77 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 21 n ((n - 1) ) (n - 3) 168 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 483 n ((n - 1) ) (n - 3) 588 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 15 n n 252 n ((n - 1) ) (n - 3) 4 n (n - 1) (n - 6) + --------------------------- - ----------------------- 4 n 3 4 3 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 6) 14 n n 13 n n 104 n (n - 1) (n - 6) 1176 n (n - 1) (n - 6) + ------------------------- - -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n n 11 n n 7584 n (n - 1) (n - 6) 30708 n (n - 1) (n - 6) + -------------------------- - --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 9 n n 80856 n (n - 1) (n - 6) 138224 n (n - 1) (n - 6) + --------------------------- - --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 7 n n 147616 n (n - 1) (n - 6) 89088 n (n - 1) (n - 6) + --------------------------- - -------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 6 n n 11 n n 23040 n (n - 1) (n - 6) 21 n (n - 1) (n - 4) + -------------------------- - ------------------------ 3 n 2 5 2 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 4) 10 n n 9 n n 231 n (n - 1) (n - 4) 987 n (n - 1) (n - 4) + ------------------------- - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 2037 n (n - 1) (n - 4) 2016 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 19 n 4 n 756 n (n - 1) (n - 4) 18 n ((n - 1) ) (n - 2) + ------------------------ + --------------------------- 2 n 2 4 10 n 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 126 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 360 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 3 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 96 n ((n - 1) ) (n - 2) 168 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 144 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 12 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 384 n ((n - 1) ) (n - 2) 672 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 576 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 12 n ((n - 1) ) (n - 3) 132 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 600 n ((n - 1) ) (n - 3) 1440 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1920 n ((n - 1) ) (n - 3) 1344 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 6 6 n n 7 n n 48 n ((n - 1) ) 6 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) + ------------------ - ----------------------- + ----------------------- 15 n 6 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 9 n n 3 n (n - 1) (n - 2) 4 n (n - 1) (n - 2) - ----------------------- - ----------------------- 2 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 20 n (n - 1) (n - 2) 32 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 21 n 4 n 16 n (n - 1) (n - 2) 4 n ((n - 1) ) (n - 3) + ----------------------- + -------------------------- 3 n 2 3 9 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 56 n ((n - 1) ) (n - 3) 316 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 5 5 9 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 920 n ((n - 1) ) (n - 3) 1456 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 9 n 5 5 9 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 1184 n ((n - 1) ) (n - 3) 384 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 9 n 5 5 9 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 204 n ((n - 1) ) (n - 4) 1452 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 5604 n ((n - 1) ) (n - 4) 12648 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 12 n 4 15 n 5 16656 n ((n - 1) ) (n - 4) 2 n ((n - 1) ) 16 n ((n - 1) ) + ------------------------------ + ----------------- + ------------------ 7 n 4 5 9 n 4 12 n 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 1) (n ) 18 n 6 15 n 3 n 48 n ((n - 1) ) 12 n ((n - 1) ) (n - 2) - ------------------ - --------------------------- 16 n 6 7 n 4 3 (n - 1) (n ) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 60 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n 2 n 48 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 3) + --------------------------- + --------------------------- 7 n 4 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n 2 n 12 n 3 n 84 n ((n - 1) ) (n - 3) 2592 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 5 n 3 3 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 6 n ((n - 1) ) (n - 5) 114 n ((n - 1) ) (n - 5) + -------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 930 n ((n - 1) ) (n - 5) 4254 n ((n - 1) ) (n - 5) + ---------------------------- - ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 11928 n ((n - 1) ) (n - 5) 20976 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 22560 n ((n - 1) ) (n - 5) 13536 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 3456 n ((n - 1) ) (n - 5) + ---------------------------- 6 n 3 4 (n - 1) (n ) (n - 5) and in Maple notation -12*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+204*n^12*(n-1)^n/(n-1)^3/(n^n) ^2*(n-5)^n/(n-5)^4-1452*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+5604*n^10* (n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-12648*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5) ^n/(n-5)^4+16656*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-11808*n^7*(n-1)^n/ (n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+3456*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 4-6*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5+72*n^16*((n-1)^n)^3/(n-1)^ 6/(n^n)^4*(n-3)^n/(n-3)^5-330*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5+ 720*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5-744*n^13*((n-1)^n)^3/(n-1) ^6/(n^n)^4*(n-3)^n/(n-3)^5+288*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^5 +18*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-270*n^14*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-4)^n/(n-4)^5+1638*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^ 5-5130*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5+8712*n^11*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-7560*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n -4)^5+2592*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-18*n^13*(n-1)^n/(n-1 )^2/(n^n)^2*(n-5)^n/(n-5)^5+342*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-\ 2718*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+11682*n^10*(n-1)^n/(n-1)^2/(n ^n)^2*(n-5)^n/(n-5)^5-29232*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+42408*n ^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-32832*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n -5)^n/(n-5)^5+10368*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+16*n^15*((n-1)^ n)^5/(n-1)^14/(n^n)^5+84*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-216*n^8*(n -1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+240*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/( n-3)^3-96*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-21*n^10*(n-1)^n/(n-1)^2/( n^n)^2*(n-3)^n/(n-3)^4+168*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-483*n^8* (n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+588*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n /(n-3)^4-252*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+12*n^12*((n-1)^n)^2/(n -1)^5/(n^n)^3*(n-2)^n/(n-2)^3-60*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2) ^3+96*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-48*n^9*((n-1)^n)^2/(n-1) ^5/(n^n)^3*(n-2)^n/(n-2)^3-12*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+6*n^ 13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-42*n^12*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-2)^n/(n-2)^3+108*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-120*n^ 10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+48*n^9*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-2)^n/(n-2)^3-12*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+120*n^10*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-468*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n -3)^4+888*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-816*n^7*(n-1)^n/(n-1)^3/( n^n)^2*(n-3)^n/(n-3)^4+288*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-18*n^17* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+162*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^ 4*(n-3)^n/(n-3)^3-576*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+1008*n^ 14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3-864*n^13*((n-1)^n)^3/(n-1)^8/(n^ n)^4*(n-3)^n/(n-3)^3+288*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+6*n^ 15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3+354*n^13*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-4)^n/(n-4)^3-912*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3+1296* n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3-960*n^10*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^3+288*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3-72*n ^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3+12*n^19*((n-1)^n)^4/(n-1)^9/(n^ n)^5*(n-2)^n/(n-2)^4-96*n^18*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^4+276*n^ 17*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^4-336*n^16*((n-1)^n)^4/(n-1)^9/(n^ n)^5*(n-2)^n/(n-2)^4+144*n^15*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^4-6*n^ 21*((n-1)^n)^6/(n-1)^15/(n^n)^6+36*n^20*((n-1)^n)^6/(n-1)^15/(n^n)^6-72*n^19*(( n-1)^n)^6/(n-1)^15/(n^n)^6+6/(n^n)*n^11*(n-6)^n/(n-6)^5-144/(n^n)*n^10*(n-6)^n/ (n-6)^5+1476/(n^n)*n^9*(n-6)^n/(n-6)^5-8424/(n^n)*n^8*(n-6)^n/(n-6)^5+29214/(n^ n)*n^7*(n-6)^n/(n-6)^5-62856/(n^n)*n^6*(n-6)^n/(n-6)^5+81624/(n^n)*n^5*(n-6)^n/ (n-6)^5-58176/(n^n)*n^4*(n-6)^n/(n-6)^5+17280/(n^n)*n^3*(n-6)^n/(n-6)^5+(n-2)^n /(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3-18*n ^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+126*n^15*((n-1)^n)^3/(n-1)^8/(n ^n)^4*(n-2)^n/(n-2)^3-324*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+360* n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-144*n^12*((n-1)^n)^3/(n-1)^8/( n^n)^4*(n-2)^n/(n-2)^3+18*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-162* n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+576*n^12*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^3-1008*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+ 864*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-288*n^9*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-3)^n/(n-3)^3+36*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-\ 360*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+1404*n^12*((n-1)^n)^2/(n-1 )^5/(n^n)^3*(n-3)^n/(n-3)^4-2664*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3) ^4+2448*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-864*n^9*((n-1)^n)^2/(n -1)^5/(n^n)^3*(n-3)^n/(n-3)^4-36*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+ 468*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-2484*n^10*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^4+6876*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-10440*n^8* (n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+8208*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^ n/(n-4)^4-2592*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-18*n^12*(n-1)^n/(n-1 )^2/(n^n)^2*(n-4)^n/(n-4)^5+270*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-\ 1638*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+5130*n^9*(n-1)^n/(n-1)^2/(n^n )^2*(n-4)^n/(n-4)^5-8712*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+7560*n^7*( n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-2592*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^5+7/(n^n)*n^7*(n-3)^n/(n-3)^4-56/(n^n)*n^6*(n-3)^n/(n-3)^4+161/(n^n)*n^5 *(n-3)^n/(n-3)^4-196/(n^n)*n^4*(n-3)^n/(n-3)^4+84/(n^n)*n^3*(n-3)^n/(n-3)^4+18/ (n^n)*n^10*(n-5)^n/(n-5)^5-342/(n^n)*n^9*(n-5)^n/(n-5)^5+2718/(n^n)*n^8*(n-5)^n /(n-5)^5-11682/(n^n)*n^7*(n-5)^n/(n-5)^5+29232/(n^n)*n^6*(n-5)^n/(n-5)^5-42408/ (n^n)*n^5*(n-5)^n/(n-5)^5+32832/(n^n)*n^4*(n-5)^n/(n-5)^5-10368/(n^n)*n^3*(n-5) ^n/(n-5)^5-3*n^22*((n-1)^n)^6/(n-1)^16/(n^n)^6+24*n^21*((n-1)^n)^6/(n-1)^16/(n^ n)^6-72*n^20*((n-1)^n)^6/(n-1)^16/(n^n)^6+96*n^19*((n-1)^n)^6/(n-1)^16/(n^n)^6+ 3/(n^n)*n^12*(n-6)^n/(n-6)^6-87/(n^n)*n^11*(n-6)^n/(n-6)^6+1098/(n^n)*n^10*(n-6 )^n/(n-6)^6-7902/(n^n)*n^9*(n-6)^n/(n-6)^6+35667/(n^n)*n^8*(n-6)^n/(n-6)^6-\ 104463/(n^n)*n^7*(n-6)^n/(n-6)^6+197952/(n^n)*n^6*(n-6)^n/(n-6)^6-233148/(n^n)* n^5*(n-6)^n/(n-6)^6+154080/(n^n)*n^4*(n-6)^n/(n-6)^6-43200/(n^n)*n^3*(n-6)^n/(n -6)^6+6/(n^n)*n^9*(n-4)^n/(n-4)^5-90/(n^n)*n^8*(n-4)^n/(n-4)^5+546/(n^n)*n^7*(n -4)^n/(n-4)^5-1710/(n^n)*n^6*(n-4)^n/(n-4)^5+2904/(n^n)*n^5*(n-4)^n/(n-4)^5-\ 2520/(n^n)*n^4*(n-4)^n/(n-4)^5+864/(n^n)*n^3*(n-4)^n/(n-4)^5+6*n^25*((n-1)^n)^7 /(n-1)^18/(n^n)^7-48*n^24*((n-1)^n)^7/(n-1)^18/(n^n)^7+144*n^23*((n-1)^n)^7/(n-\ 1)^18/(n^n)^7-192*n^22*((n-1)^n)^7/(n-1)^18/(n^n)^7+1/(n^n)*n^13*(n-7)^n/(n-7)^ 6-35/(n^n)*n^12*(n-7)^n/(n-7)^6+540/(n^n)*n^11*(n-7)^n/(n-7)^6-4830/(n^n)*n^10* (n-7)^n/(n-7)^6+27693/(n^n)*n^9*(n-7)^n/(n-7)^6-106155/(n^n)*n^8*(n-7)^n/(n-7)^ 6+274910/(n^n)*n^7*(n-7)^n/(n-7)^6-473620/(n^n)*n^6*(n-7)^n/(n-7)^6+517656/(n^n )*n^5*(n-7)^n/(n-7)^6-322560/(n^n)*n^4*(n-7)^n/(n-7)^6+86400/(n^n)*n^3*(n-7)^n/ (n-7)^6-36*n^17*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+360*n^16*((n-1)^n)^ 3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4-1404*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n /(n-3)^4+2664*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4-2448*n^13*((n-1) ^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+864*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3 )^n/(n-3)^4+36*n^15*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-468*n^14*((n-1) ^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+2484*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-\ 4)^n/(n-4)^4-6876*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+10440*n^11*( (n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-8208*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^ 3*(n-4)^n/(n-4)^4+2592*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-384*n^12 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3-18*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^ 4*(n-3)^n/(n-3)^4+216*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-1062*n^ 16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+2736*n^15*((n-1)^n)^3/(n-1)^8/(n ^n)^4*(n-3)^n/(n-3)^4-3888*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+ 2880*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-864*n^12*((n-1)^n)^3/(n-1 )^8/(n^n)^4*(n-3)^n/(n-3)^4+18*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4 -270*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+1710*n^14*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-4)^n/(n-4)^4-5922*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4 )^4+12096*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-14544*n^11*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+9504*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^ n/(n-4)^4-2592*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-204*n^15*((n-1)^ n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+1452*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4 )^n/(n-4)^5-5604*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+3/(n^n)*n^6*( n-3)^n/(n-3)^3-15/(n^n)*n^5*(n-3)^n/(n-3)^3+24/(n^n)*n^4*(n-3)^n/(n-3)^3-12/(n^ n)*n^3*(n-3)^n/(n-3)^3+12648*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5-\ 16656*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+11808*n^10*((n-1)^n)^2/( n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5-3456*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-\ 4)^5+12*n^16*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5-12*n^14*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-5)^n/(n-5)^5+252*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-2268 *n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5+11412*n^11*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-5)^n/(n-5)^5-35064*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5+67248*n^9* (n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-78432*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5) ^n/(n-5)^5+50688*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-13824*n^6*(n-1)^n/ (n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-3*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+ 72*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-738*n^12*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-5)^n/(n-5)^6+4212*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-14607*n^10* (n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+31428*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5) ^n/(n-5)^6-40812*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+29088*n^7*(n-1)^n/ (n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-8640*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^ 6-11808*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5+3456*n^12*((n-1)^n)^3/ (n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5-12*n^19*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-\ 4)^5+12*n^17*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5-252*n^16*((n-1)^n)^2/( n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5+2268*n^15*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n -5)^5-11412*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5+35064*n^13*((n-1)^ n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5-67248*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-\ 5)^n/(n-5)^5+78432*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5-50688*n^10* ((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5+13824*n^9*((n-1)^n)^2/(n-1)^5/(n^n) ^3*(n-5)^n/(n-5)^5+3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-9*n^10*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3+6*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 2)^n/(n-2)^3-3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+15*n^8*(n-1)^n/(n-1) ^2/(n^n)^2*(n-3)^n/(n-3)^3-24*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+12*n^ 6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3-n^13*((n-1)^n)^4/(n-1)^9/(n^n)^4+1/(n ^n)*n^7*(n-4)^n/(n-4)^3-8/(n^n)*n^6*(n-4)^n/(n-4)^3+23/(n^n)*n^5*(n-4)^n/(n-4)^ 3-28/(n^n)*n^4*(n-4)^n/(n-4)^3+12/(n^n)*n^3*(n-4)^n/(n-4)^3-4*n^17*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+36*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-\ 2)^3-128*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+224*n^14*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3-192*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n -2)^3+64*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+6*n^15*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^4-72*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3) ^4+354*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-912*n^12*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^4+1296*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-\ 3)^4-960*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+288*n^9*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+68*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-\ 484*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+1868*n^10*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^5-4216*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+5552*n^8*( n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-3936*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n /(n-4)^5+1152*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-4*n^13*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^5+21/(n^n)*n^8*(n-4)^n/(n-4)^4-231/(n^n)*n^7*(n-4)^n/(n -4)^4+987/(n^n)*n^6*(n-4)^n/(n-4)^4-2037/(n^n)*n^5*(n-4)^n/(n-4)^4+2016/(n^n)*n ^4*(n-4)^n/(n-4)^4-756/(n^n)*n^3*(n-4)^n/(n-4)^4-6*n^23*((n-1)^n)^5/(n-1)^12/(n ^n)^6*(n-2)^n/(n-2)^4+60*n^22*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^4-234* n^21*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^4+444*n^20*((n-1)^n)^5/(n-1)^12 /(n^n)^6*(n-2)^n/(n-2)^4-408*n^19*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^4+ 144*n^18*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^4+18*n^21*((n-1)^n)^4/(n-1) ^10/(n^n)^5*(n-3)^n/(n-3)^4-216*n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3) ^4+1062*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^4-2736*n^18*((n-1)^n)^4 /(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^4+3888*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^ n/(n-3)^4-2880*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^4+864*n^15*((n-1 )^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^4-18*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-\ 4)^n/(n-4)^4+270*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4-1710*n^17*((n -1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4+5922*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4* (n-4)^n/(n-4)^4-12096*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4+14544*n^ 14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4-9504*n^13*((n-1)^n)^3/(n-1)^8/(n ^n)^4*(n-4)^n/(n-4)^4-384*n^21*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^3+672 *n^20*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^3-576*n^19*((n-1)^n)^5/(n-1)^ 13/(n^n)^6*(n-2)^n/(n-2)^3+192*n^18*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^ 3+12*n^21*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^3-132*n^20*((n-1)^n)^4/(n-\ 1)^11/(n^n)^5*(n-3)^n/(n-3)^3+600*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-\ 3)^3-1440*n^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^3+1920*n^17*((n-1)^n) ^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^3-1344*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3 )^n/(n-3)^3+384*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^3-4*n^19*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3+56*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4) ^n/(n-4)^3+1080*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3-2080*n^15*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3+2368*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*( n-4)^n/(n-4)^3-1472*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3+384*n^12*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3-332*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-4)^n/(n-4)^3-3*n^23*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^2+27*n^22*(( n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^2-96*n^21*((n-1)^n)^5/(n-1)^14/(n^n)^6 *(n-2)^n/(n-2)^2+168*n^20*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^2-144*n^19 *((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^2+48*n^18*((n-1)^n)^5/(n-1)^14/(n^n )^6*(n-2)^n/(n-2)^2+n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^2-11*n^20*( (n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^2+160*n^17*((n-1)^n)^4/(n-1)^12/(n^n) ^5*(n-3)^n/(n-3)^2-112*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^2+32*n^ 15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^2-120*n^18*((n-1)^n)^4/(n-1)^12/( n^n)^5*(n-3)^n/(n-3)^2+50*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^2-12* n^23*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^3+108*n^22*((n-1)^n)^5/(n-1)^13 /(n^n)^6*(n-2)^n/(n-2)^3+96*n^21*((n-1)^n)^7/(n-1)^18/(n^n)^7-n^19*((n-1)^n)^3/ (n-1)^6/(n^n)^4*(n-4)^n/(n-4)^6+20*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-\ 4)^6-166*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^6+740*n^16*((n-1)^n)^3/ (n-1)^6/(n^n)^4*(n-4)^n/(n-4)^6-1909*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/( n-4)^6+2840*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^6-2244*n^13*((n-1)^n )^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^6+720*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^ n/(n-4)^6+3*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6-72*n^16*((n-1)^n)^ 2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6+738*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/ (n-5)^6-4212*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6+14607*n^13*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6-31428*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -5)^n/(n-5)^6+40812*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6-29088*n^10 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6+8640*n^9*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-5)^n/(n-5)^6-3*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6+87*n^14*(n-1) ^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6-1098*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n -6)^6+7902*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6-35667*n^11*(n-1)^n/(n-1 )^2/(n^n)^2*(n-6)^n/(n-6)^6+104463*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6 -197952*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6+233148*n^8*(n-1)^n/(n-1)^2/ (n^n)^2*(n-6)^n/(n-6)^6-154080*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6+ 43200*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6+1/(n^n)*n^11*(n-5)^n/(n-5)^6-\ 24/(n^n)*n^10*(n-5)^n/(n-5)^6+246/(n^n)*n^9*(n-5)^n/(n-5)^6-1404/(n^n)*n^8*(n-5 )^n/(n-5)^6+4869/(n^n)*n^7*(n-5)^n/(n-5)^6-10476/(n^n)*n^6*(n-5)^n/(n-5)^6+ 13604/(n^n)*n^5*(n-5)^n/(n-5)^6-9696/(n^n)*n^4*(n-5)^n/(n-5)^6+2880/(n^n)*n^3*( n-5)^n/(n-5)^6+n^19*((n-1)^n)^5/(n-1)^14/(n^n)^5-8*n^18*((n-1)^n)^5/(n-1)^14/(n ^n)^5+24*n^17*((n-1)^n)^5/(n-1)^14/(n^n)^5-32*n^16*((n-1)^n)^5/(n-1)^14/(n^n)^5 +4*n^17*((n-1)^n)^5/(n-1)^12/(n^n)^5-16*n^16*((n-1)^n)^5/(n-1)^12/(n^n)^5+7/(n^ n)*n^9*(n-5)^n/(n-5)^4-105/(n^n)*n^8*(n-5)^n/(n-5)^4+637/(n^n)*n^7*(n-5)^n/(n-5 )^4-1995/(n^n)*n^6*(n-5)^n/(n-5)^4+3388/(n^n)*n^5*(n-5)^n/(n-5)^4-2940/(n^n)*n^ 4*(n-5)^n/(n-5)^4+1008/(n^n)*n^3*(n-5)^n/(n-5)^4+216*n^11*((n-1)^n)^2/(n-1)^5/( n^n)^3*(n-3)^n/(n-3)^3-240*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3+96* n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-4*n^11*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^3+40*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-156*n^9*(n-1)^n /(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+296*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 3-272*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+96*n^6*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-4)^n/(n-4)^3-7*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+42*n^14*(( n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4-77*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*( n-2)^n/(n-2)^4+42*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+21*n^13*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-168*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -3)^n/(n-3)^4+483*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-588*n^10*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+252*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -3)^n/(n-3)^4-4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5+104*n^14*(n-1)^n/( n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5-1176*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^ 5+7584*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5-30708*n^11*(n-1)^n/(n-1)^3/ (n^n)^2*(n-6)^n/(n-6)^5+80856*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5-\ 138224*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5+147616*n^8*(n-1)^n/(n-1)^3/( n^n)^2*(n-6)^n/(n-6)^5-89088*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5+23040* n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5-21*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 4)^n/(n-4)^4+231*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-987*n^9*(n-1)^n/( n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+2037*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4 -2016*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+756*n^6*(n-1)^n/(n-1)^2/(n^n) ^2*(n-4)^n/(n-4)^4+18*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3-126*n^ 18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3+324*n^17*((n-1)^n)^4/(n-1)^10/( n^n)^5*(n-2)^n/(n-2)^3-360*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3+ 144*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3+3*n^20*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-2)^n/(n-2)^2-27*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2 +96*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2-168*n^17*((n-1)^n)^4/(n-1 )^12/(n^n)^5*(n-2)^n/(n-2)^2+144*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2 )^2-48*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2+12*n^20*((n-1)^n)^4/(n -1)^11/(n^n)^5*(n-2)^n/(n-2)^3-108*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n -2)^3+384*n^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^3-672*n^17*((n-1)^n)^ 4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^3+576*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^ n/(n-2)^3-192*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^3-12*n^18*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3+132*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3) ^n/(n-3)^3-600*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3+1440*n^15*((n-1 )^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3-1920*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n -3)^n/(n-3)^3+1344*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^3+48*n^18*((n -1)^n)^6/(n-1)^15/(n^n)^6-6*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+9*n^7*( n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n -2)^3-4*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+20*n^8*(n-1)^n/(n-1)^3/(n^n )^2*(n-2)^n/(n-2)^3-32*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+16*n^6*(n-1) ^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+4*n^21*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/( n-3)^5-56*n^20*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^5+316*n^19*((n-1)^n)^4 /(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^5-920*n^18*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/( n-3)^5+1456*n^17*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^5-1184*n^16*((n-1)^n )^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^5+384*n^15*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^ n/(n-3)^5+204*n^18*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5-1452*n^17*((n-1) ^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5+5604*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-\ 4)^n/(n-4)^5-12648*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5+16656*n^14* ((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5+2*n^12*((n-1)^n)^4/(n-1)^9/(n^n)^4+ 16*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-48*n^18*((n-1)^n)^6/(n-1)^16/(n^n)^6-12*n^ 15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+60*n^14*((n-1)^n)^3/(n-1)^7/(n^n )^4*(n-2)^n/(n-2)^3-96*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+48*n^12 *((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+12*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^ 3*(n-3)^n/(n-3)^3-84*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3+2592*n^12 *((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4+6*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-5)^n/(n-5)^4-114*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4+930*n^15* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4-4254*n^14*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-5)^n/(n-5)^4+11928*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4-20976 *n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4+22560*n^11*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-5)^n/(n-5)^4-13536*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^ 4+3456*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4 The, 4, 1, mixed moment of, X[1], and , X[2], is 6 n 2 9 n 3 16 n 5 8 n 2 n ((n - 1) ) 8 n ((n - 1) ) 4 n ((n - 1) ) n (n - 5) ---------------- - ---------------- + ----------------- + ----------- 5 n 2 7 n 3 11 n 5 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n (n - 5) 7 n 6 n 5 n 4 n 12 n (n - 5) 55 n (n - 5) 120 n (n - 5) 124 n (n - 5) - -------------- + -------------- - --------------- + --------------- n 3 n 3 n 3 n 3 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 3 n 7 n 2 n 5 n 4 48 n (n - 5) n ((n - 1) ) (n - 2) n 3 (n - 2) n - -------------- - -------------- + ----------- - ------------- n 3 5 n 2 3 n 3 n n (n - 5) (n - 1) (n ) (n - 2) n (n - 2) n n 3 10 n 3 6 n 5 n 2 (n - 2) n 4 n ((n - 1) ) 7 n (n - 3) 35 n (n - 3) + ------------- + ----------------- + ------------- - -------------- 3 n 7 n 3 n 3 n 3 (n - 2) n (n - 1) (n ) n (n - 3) n (n - 3) 4 n 3 n 10 n n 56 n (n - 3) 28 n (n - 3) n (n - 1) (n - 4) + -------------- - -------------- - ----------------------- n 3 n 3 3 n 2 2 n (n - 3) n (n - 3) (n - 1) (n ) (n - 4) 9 n n 8 n n 8 n (n - 1) (n - 4) 23 n (n - 1) (n - 4) + ----------------------- - ----------------------- 3 n 2 2 3 n 2 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 28 n (n - 1) (n - 4) 12 n (n - 1) (n - 4) + ----------------------- - ----------------------- 3 n 2 2 3 n 2 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 4 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 3 6 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 12 n 2 n 8 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 3) - -------------------------- + -------------------------- 6 n 4 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 30 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 10 n n 24 n ((n - 1) ) (n - 3) 4 n (n - 1) (n - 4) - -------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 9 n n 8 n n 32 n (n - 1) (n - 4) 92 n (n - 1) (n - 4) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 112 n (n - 1) (n - 4) 48 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 6 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 7 n 4 2 7 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 12 n 2 n 12 n ((n - 1) ) (n - 2) 4 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------- 7 n 4 2 5 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 20 n ((n - 1) ) (n - 3) 32 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 5 n 3 2 5 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 9 n 2 n 16 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 2) - -------------------------- + -------------------------- 5 n 3 2 5 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 9 n n 8 n n 6 n (n - 1) (n - 3) 30 n (n - 1) (n - 3) - ----------------------- + ----------------------- 3 n 2 2 3 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 48 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) - ----------------------- + ----------------------- 3 n 2 2 3 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 6 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 9 n n 12 n ((n - 1) ) (n - 2) 12 n (n - 1) (n - 3) + -------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 8 n n 7 n n 60 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 4 7 n 48 n (n - 1) (n - 3) 6 n ((n - 1) ) 6 n (n - 4) + ----------------------- - ----------------- + ------------- 2 n 2 3 9 n 4 n 3 (n - 1) (n ) (n - 3) (n - 1) (n ) n (n - 4) 6 n 5 n 4 n 3 n 48 n (n - 4) 138 n (n - 4) 168 n (n - 4) 72 n (n - 4) - -------------- + --------------- - --------------- + -------------- n 3 n 3 n 3 n 3 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 11 n 2 n 10 n 2 n 12 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 5 n 3 2 5 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 7 n n 8 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 15 n 5 12 n 4 4 n (n - 1) (n - 2) 8 n ((n - 1) ) 12 n ((n - 1) ) - ----------------------- - ----------------- + ------------------ 2 n 2 3 11 n 5 9 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 8 n n 7 n n 7 n (n - 1) (n - 2) 21 n (n - 1) (n - 2) - ----------------------- + ----------------------- 3 n 2 2 3 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 14 n (n - 1) (n - 2) - ----------------------- 3 n 2 2 (n - 1) (n ) (n - 2) and in Maple notation 2*n^6*((n-1)^n)^2/(n-1)^5/(n^n)^2-8*n^9*((n-1)^n)^3/(n-1)^7/(n^n)^3+4*n^16*((n-\ 1)^n)^5/(n-1)^11/(n^n)^5+1/(n^n)*n^8*(n-5)^n/(n-5)^3-12/(n^n)*n^7*(n-5)^n/(n-5) ^3+55/(n^n)*n^6*(n-5)^n/(n-5)^3-120/(n^n)*n^5*(n-5)^n/(n-5)^3+124/(n^n)*n^4*(n-\ 5)^n/(n-5)^3-48/(n^n)*n^3*(n-5)^n/(n-5)^3-n^7*((n-1)^n)^2/(n-1)^5/(n^n)^2+(n-2) ^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3+4* n^10*((n-1)^n)^3/(n-1)^7/(n^n)^3+7/(n^n)*n^6*(n-3)^n/(n-3)^3-35/(n^n)*n^5*(n-3) ^n/(n-3)^3+56/(n^n)*n^4*(n-3)^n/(n-3)^3-28/(n^n)*n^3*(n-3)^n/(n-3)^3-n^10*(n-1) ^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^2+8*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 2-23*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^2+28*n^7*(n-1)^n/(n-1)^3/(n^n)^2 *(n-4)^n/(n-4)^2-12*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^2-4*n^14*((n-1)^n )^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3+12*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n /(n-2)^3-8*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3+6*n^12*((n-1)^n)^2/ (n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-30*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-\ 3)^3+48*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-24*n^9*((n-1)^n)^2/(n-\ 1)^4/(n^n)^3*(n-3)^n/(n-3)^3-4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3+32* n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3-92*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4 )^n/(n-4)^3+112*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3-48*n^6*(n-1)^n/(n-1 )^2/(n^n)^2*(n-4)^n/(n-4)^3-6*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^2+ 18*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^2-12*n^12*((n-1)^n)^3/(n-1)^7 /(n^n)^4*(n-2)^n/(n-2)^2+4*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^2-20* n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^2+32*n^10*((n-1)^n)^2/(n-1)^5/(n ^n)^3*(n-3)^n/(n-3)^2-16*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^2+24*n^9 *((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^2-6*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3 )^n/(n-3)^2+30*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^2-48*n^7*(n-1)^n/(n-1) ^3/(n^n)^2*(n-3)^n/(n-3)^2+24*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^2+6*n^ 11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-18*n^10*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-2)^n/(n-2)^3+12*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-12*n^9*( n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+60*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/( n-3)^3-96*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+48*n^6*(n-1)^n/(n-1)^2/(n ^n)^2*(n-3)^n/(n-3)^3-6*n^13*((n-1)^n)^4/(n-1)^9/(n^n)^4+6/(n^n)*n^7*(n-4)^n/(n -4)^3-48/(n^n)*n^6*(n-4)^n/(n-4)^3+138/(n^n)*n^5*(n-4)^n/(n-4)^3-168/(n^n)*n^4* (n-4)^n/(n-4)^3+72/(n^n)*n^3*(n-4)^n/(n-4)^3+12*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^ 3*(n-2)^n/(n-2)^2-36*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^2-8*n^6*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+12*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-\ 2)^3-4*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-8*n^15*((n-1)^n)^5/(n-1)^11/ (n^n)^5+12*n^12*((n-1)^n)^4/(n-1)^9/(n^n)^4-7*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2) ^n/(n-2)^2+21*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^2-14*n^6*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-2)^n/(n-2)^2 The, 4, 2, mixed moment of, X[1], and , X[2], is 12 n n 11 n n 4 n (n - 1) (n - 5) 60 n (n - 1) (n - 5) - ----------------------- + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 364 n (n - 1) (n - 5) 1140 n (n - 1) (n - 5) - ------------------------- + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 1936 n (n - 1) (n - 5) 1680 n (n - 1) (n - 5) - ------------------------- + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n 4 n 576 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) - ------------------------ + ------------------------ 2 n 2 4 8 n 5 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 6 n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 5 4 8 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 6 n ((n - 1) ) (n - 2) 4 n ((n - 1) ) (n - 3) - -------------------------- - -------------------------- 8 n 5 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 32 n ((n - 1) ) (n - 3) 92 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 112 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 6 n ((n - 1) ) (n - 4) 66 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 282 n ((n - 1) ) (n - 4) 582 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 576 n ((n - 1) ) (n - 4) 216 n ((n - 1) ) (n - 4) + ---------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 12 n ((n - 1) ) (n - 3) 84 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 216 n ((n - 1) ) (n - 3) 240 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 14 n 2 n 96 n ((n - 1) ) (n - 3) 8 n ((n - 1) ) (n - 4) - --------------------------- + -------------------------- 7 n 4 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 80 n ((n - 1) ) (n - 4) 312 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 592 n ((n - 1) ) (n - 4) 544 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 12 n n 192 n ((n - 1) ) (n - 4) 2 n (n - 1) (n - 5) - --------------------------- - ----------------------- 5 n 3 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 11 n n 10 n n 28 n (n - 1) (n - 5) 158 n (n - 1) (n - 5) + ------------------------ - ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 460 n (n - 1) (n - 5) 728 n (n - 1) (n - 5) + ------------------------ - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 592 n (n - 1) (n - 5) 192 n (n - 1) (n - 5) + ------------------------ - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 4 n 17 n 4 n 6 n ((n - 1) ) (n - 2) 30 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 10 n 5 2 10 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 48 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 10 n 5 2 10 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 4 n ((n - 1) ) (n - 3) 28 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 8 n 4 2 8 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 72 n ((n - 1) ) (n - 3) 80 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 8 n 4 2 8 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 14 n 2 n 32 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - --------------------------- + ------------------------ 8 n 4 2 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 39 n ((n - 1) ) (n - 4) 74 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 68 n ((n - 1) ) (n - 4) 24 n ((n - 1) ) (n - 4) + --------------------------- - -------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 18 n 4 n 10 n ((n - 1) ) (n - 4) 8 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 6 n 3 2 9 n 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 40 n ((n - 1) ) (n - 2) 64 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 5 3 9 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 9 n 3 9 n n 32 n ((n - 1) ) (n - 2) 4 n ((n - 1) ) 98 n (n - 1) (n - 3) - --------------------------- + ---------------- + ----------------------- 9 n 5 3 8 n 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) (n - 3) 8 n n 7 n n 252 n (n - 1) (n - 3) 280 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 10 n n 112 n (n - 1) (n - 3) 4 n (n - 1) (n - 3) - ------------------------ - ----------------------- 3 n 2 3 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 32 n (n - 1) (n - 3) 92 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 112 n (n - 1) (n - 3) 48 n (n - 1) (n - 3) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 7 n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 56 n ((n - 1) ) (n - 2) 28 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 8 n ((n - 1) ) (n - 2) 40 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 64 n ((n - 1) ) (n - 2) 32 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 16 n 5 8 n 14 n (n - 1) (n - 3) n ((n - 1) ) n (n - 5) - ------------------------ + --------------- + ----------- 3 n 2 3 11 n 5 n 3 (n - 1) (n ) (n - 3) (n - 1) (n ) n (n - 5) 7 n 6 n 5 n 4 n 12 n (n - 5) 55 n (n - 5) 120 n (n - 5) 124 n (n - 5) - -------------- + -------------- - --------------- + --------------- n 3 n 3 n 3 n 3 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 3 n n 5 n 4 n 3 48 n (n - 5) (n - 2) n 3 (n - 2) n 2 (n - 2) n - -------------- + ----------- - ------------- + ------------- n 3 3 n 3 n 3 n n (n - 5) (n - 2) n (n - 2) n (n - 2) n 11 n 3 10 n 3 7 n 6 n n ((n - 1) ) 4 n ((n - 1) ) n (n - 3) 8 n (n - 3) + --------------- - ----------------- + ----------- - ------------- 8 n 3 8 n 3 n 4 n 4 (n - 1) (n ) (n - 1) (n ) n (n - 3) n (n - 3) 5 n 4 n 3 n 12 n 4 23 n (n - 3) 28 n (n - 3) 12 n (n - 3) 16 n ((n - 1) ) + -------------- - -------------- + -------------- - ------------------ n 4 n 4 n 4 10 n 4 n (n - 3) n (n - 3) n (n - 3) (n - 1) (n ) 6 n 5 n 4 n 3 n 7 n (n - 3) 35 n (n - 3) 56 n (n - 3) 28 n (n - 3) + ------------- - -------------- + -------------- - -------------- n 3 n 3 n 3 n 3 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 14 n 3 n 13 n 3 n 4 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 3 6 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 12 n 2 n 8 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 3) - -------------------------- + -------------------------- 6 n 4 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 30 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 10 n n 24 n ((n - 1) ) (n - 3) 4 n (n - 1) (n - 4) - -------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 9 n n 8 n n 32 n (n - 1) (n - 4) 92 n (n - 1) (n - 4) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 112 n (n - 1) (n - 4) 48 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 6 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 9 n n 12 n ((n - 1) ) (n - 2) 12 n (n - 1) (n - 3) + -------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 8 n n 7 n n 60 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 7 n 6 n 48 n (n - 1) (n - 3) 6 n (n - 4) 48 n (n - 4) + ----------------------- + ------------- - -------------- 2 n 2 3 n 3 n 3 (n - 1) (n ) (n - 3) n (n - 4) n (n - 4) 5 n 4 n 3 n 14 n 4 138 n (n - 4) 168 n (n - 4) 72 n (n - 4) 4 n ((n - 1) ) + --------------- - --------------- + -------------- - ----------------- n 3 n 3 n 3 10 n 4 n (n - 4) n (n - 4) n (n - 4) (n - 1) (n ) 13 n 4 8 n 7 n 6 n 16 n ((n - 1) ) 7 n (n - 4) 77 n (n - 4) 329 n (n - 4) + ------------------ + ------------- - -------------- + --------------- 10 n 4 n 4 n 4 n 4 (n - 1) (n ) n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 18 n 6 679 n (n - 4) 672 n (n - 4) 252 n (n - 4) 20 n ((n - 1) ) - --------------- + --------------- - --------------- - ------------------ n 4 n 4 n 4 14 n 6 n (n - 4) n (n - 4) n (n - 4) (n - 1) (n ) 20 n 6 19 n 6 10 n 9 n 5 n ((n - 1) ) 20 n ((n - 1) ) n (n - 6) 20 n (n - 6) - ----------------- + ------------------ + ------------ - -------------- 14 n 6 14 n 6 n 4 n 4 (n - 1) (n ) (n - 1) (n ) n (n - 6) n (n - 6) 8 n 7 n 17 n 5 166 n (n - 6) 740 n (n - 6) 6 n ((n - 1) ) + --------------- - --------------- + ----------------- n 4 n 4 12 n 5 n (n - 6) n (n - 6) (n - 1) (n ) 16 n 5 9 n 8 n 7 n 24 n ((n - 1) ) 6 n (n - 5) 90 n (n - 5) 546 n (n - 5) - ------------------ + ------------- - -------------- + --------------- 12 n 5 n 4 n 4 n 4 (n - 1) (n ) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 3 n 1710 n (n - 5) 2904 n (n - 5) 2520 n (n - 5) 864 n (n - 5) - ---------------- + ---------------- - ---------------- + --------------- n 4 n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 11 n 2 n 10 n 2 n 432 n ((n - 1) ) (n - 3) 480 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 192 n ((n - 1) ) (n - 3) 12 n (n - 1) (n - 4) + --------------------------- - ------------------------ 5 n 3 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 120 n (n - 1) (n - 4) 468 n (n - 1) (n - 4) + ------------------------- - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 888 n (n - 1) (n - 4) 816 n (n - 1) (n - 4) + ------------------------ - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 13 n 2 n 288 n (n - 1) (n - 4) 6 n ((n - 1) ) (n - 3) + ------------------------ + -------------------------- 3 n 2 3 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 48 n ((n - 1) ) (n - 3) 138 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 168 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 12 n (n - 1) (n - 4) 132 n (n - 1) (n - 4) - ------------------------ + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 564 n (n - 1) (n - 4) 1164 n (n - 1) (n - 4) - ------------------------ + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1152 n (n - 1) (n - 4) 432 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 7 n n 8 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 9 n n 4 n (n - 1) (n - 2) 2 n (n - 1) (n - 2) - ----------------------- - ----------------------- 2 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 10 n (n - 1) (n - 2) 16 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 6 n 5 n 8 n (n - 1) (n - 2) 1909 n (n - 6) 2840 n (n - 6) + ----------------------- + ---------------- - ---------------- 3 n 2 3 n 4 n 4 (n - 1) (n ) (n - 2) n (n - 6) n (n - 6) 4 n 3 n 15 n 5 2244 n (n - 6) 720 n (n - 6) 2 n ((n - 1) ) + ---------------- - --------------- - ----------------- n 4 n 4 11 n 5 n (n - 6) n (n - 6) (n - 1) (n ) 15 n 5 15 n 3 n 24 n ((n - 1) ) 12 n ((n - 1) ) (n - 2) + ------------------ - --------------------------- 12 n 5 8 n 4 2 (n - 1) (n ) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 60 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 8 n 4 2 8 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n 2 n 48 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 8 n 4 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 42 n ((n - 1) ) (n - 3) 108 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 120 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 12 n ((n - 1) ) (n - 2) 60 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 96 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 24 n ((n - 1) ) (n - 3) 168 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) and in Maple notation -4*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4+60*n^11*(n-1)^n/(n-1)^2/(n^n)^2 *(n-5)^n/(n-5)^4-364*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4+1140*n^9*(n-1 )^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4-1936*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n -5)^4+1680*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4-576*n^6*(n-1)^n/(n-1)^2/ (n^n)^2*(n-5)^n/(n-5)^4+n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4-6*n^17 *((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4+11*n^16*((n-1)^n)^4/(n-1)^8/(n^n)^ 5*(n-2)^n/(n-2)^4-6*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4-4*n^16*((n -1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4+32*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n -3)^n/(n-3)^4-92*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4+112*n^13*((n-\ 1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4-48*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-\ 3)^n/(n-3)^4+6*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4-66*n^13*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4+282*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4) ^n/(n-4)^4-582*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4+576*n^10*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4-216*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4) ^n/(n-4)^4-12*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3+84*n^15*((n-1)^n )^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3-216*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^ n/(n-3)^3+240*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3-96*n^12*((n-1)^n )^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3+8*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/ (n-4)^3-80*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3+312*n^12*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-592*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/ (n-4)^3+544*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-192*n^9*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 3+28*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3-158*n^10*(n-1)^n/(n-1)^3/(n^n )^2*(n-5)^n/(n-5)^3+460*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3-728*n^8*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3+592*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n -5)^3-192*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3+6*n^18*((n-1)^n)^4/(n-1)^ 10/(n^n)^5*(n-2)^n/(n-2)^2-30*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^2 +48*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^2-24*n^15*((n-1)^n)^4/(n-1) ^10/(n^n)^5*(n-2)^n/(n-2)^2-4*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^2+ 28*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^2-72*n^14*((n-1)^n)^3/(n-1)^8 /(n^n)^4*(n-3)^n/(n-3)^2+80*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^2-32 *n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^2+n^14*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-4)^n/(n-4)^2+39*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^2-74*n^11 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^2+68*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-4)^n/(n-4)^2-24*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^2-10*n^13*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^2+8*n^18*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n -2)^n/(n-2)^3-40*n^17*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^3+64*n^16*((n-1 )^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^3-32*n^15*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2 )^n/(n-2)^3+4*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3+98*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n -3)^n/(n-3)^3-252*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+280*n^7*(n-1)^n/( n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-112*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-\ 4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+32*n^9*(n-1)^n/(n-1)^2/(n^n)^2*( n-3)^n/(n-3)^4-92*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+112*n^7*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-48*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+7 *n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-35*n^11*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-2)^n/(n-2)^2+56*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-28*n ^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2+8*n^12*((n-1)^n)^2/(n-1)^5/(n^n) ^3*(n-2)^n/(n-2)^3-40*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3+64*n^10* ((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-32*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3* (n-2)^n/(n-2)^3-14*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+n^16*((n-1)^n)^ 5/(n-1)^11/(n^n)^5+1/(n^n)*n^8*(n-5)^n/(n-5)^3-12/(n^n)*n^7*(n-5)^n/(n-5)^3+55/ (n^n)*n^6*(n-5)^n/(n-5)^3-120/(n^n)*n^5*(n-5)^n/(n-5)^3+124/(n^n)*n^4*(n-5)^n/( n-5)^3-48/(n^n)*n^3*(n-5)^n/(n-5)^3+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3 /(n^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3+n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-4*n^10* ((n-1)^n)^3/(n-1)^8/(n^n)^3+1/(n^n)*n^7*(n-3)^n/(n-3)^4-8/(n^n)*n^6*(n-3)^n/(n-\ 3)^4+23/(n^n)*n^5*(n-3)^n/(n-3)^4-28/(n^n)*n^4*(n-3)^n/(n-3)^4+12/(n^n)*n^3*(n-\ 3)^n/(n-3)^4-16*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4+7/(n^n)*n^6*(n-3)^n/(n-3)^3-\ 35/(n^n)*n^5*(n-3)^n/(n-3)^3+56/(n^n)*n^4*(n-3)^n/(n-3)^3-28/(n^n)*n^3*(n-3)^n/ (n-3)^3-4*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3+12*n^13*((n-1)^n)^3/ (n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3-8*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2 )^3+6*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-30*n^11*((n-1)^n)^2/(n-1 )^4/(n^n)^3*(n-3)^n/(n-3)^3+48*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3 -24*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-4*n^10*(n-1)^n/(n-1)^2/(n^n )^2*(n-4)^n/(n-4)^3+32*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3-92*n^8*(n-1) ^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3+112*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4 )^3-48*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3+6*n^11*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-2)^n/(n-2)^3-18*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3+12*n ^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-12*n^9*(n-1)^n/(n-1)^2/(n^n)^2*( n-3)^n/(n-3)^3+60*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3-96*n^7*(n-1)^n/(n -1)^2/(n^n)^2*(n-3)^n/(n-3)^3+48*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+6/ (n^n)*n^7*(n-4)^n/(n-4)^3-48/(n^n)*n^6*(n-4)^n/(n-4)^3+138/(n^n)*n^5*(n-4)^n/(n -4)^3-168/(n^n)*n^4*(n-4)^n/(n-4)^3+72/(n^n)*n^3*(n-4)^n/(n-4)^3-4*n^14*((n-1)^ n)^4/(n-1)^10/(n^n)^4+16*n^13*((n-1)^n)^4/(n-1)^10/(n^n)^4+7/(n^n)*n^8*(n-4)^n/ (n-4)^4-77/(n^n)*n^7*(n-4)^n/(n-4)^4+329/(n^n)*n^6*(n-4)^n/(n-4)^4-679/(n^n)*n^ 5*(n-4)^n/(n-4)^4+672/(n^n)*n^4*(n-4)^n/(n-4)^4-252/(n^n)*n^3*(n-4)^n/(n-4)^4-\ 20*n^18*((n-1)^n)^6/(n-1)^14/(n^n)^6-5*n^20*((n-1)^n)^6/(n-1)^14/(n^n)^6+20*n^ 19*((n-1)^n)^6/(n-1)^14/(n^n)^6+1/(n^n)*n^10*(n-6)^n/(n-6)^4-20/(n^n)*n^9*(n-6) ^n/(n-6)^4+166/(n^n)*n^8*(n-6)^n/(n-6)^4-740/(n^n)*n^7*(n-6)^n/(n-6)^4+6*n^17*( (n-1)^n)^5/(n-1)^12/(n^n)^5-24*n^16*((n-1)^n)^5/(n-1)^12/(n^n)^5+6/(n^n)*n^9*(n -5)^n/(n-5)^4-90/(n^n)*n^8*(n-5)^n/(n-5)^4+546/(n^n)*n^7*(n-5)^n/(n-5)^4-1710/( n^n)*n^6*(n-5)^n/(n-5)^4+2904/(n^n)*n^5*(n-5)^n/(n-5)^4-2520/(n^n)*n^4*(n-5)^n/ (n-5)^4+864/(n^n)*n^3*(n-5)^n/(n-5)^4+432*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3 )^n/(n-3)^3-480*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3+192*n^9*((n-1) ^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-12*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^3+120*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-468*n^9*(n-1)^n/(n-1)^3 /(n^n)^2*(n-4)^n/(n-4)^3+888*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-816*n^ 7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+288*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4) ^n/(n-4)^3+6*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-48*n^12*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+138*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n /(n-3)^4-168*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+72*n^9*((n-1)^n)^ 2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-12*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4) ^4+132*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-564*n^9*(n-1)^n/(n-1)^2/(n^ n)^2*(n-4)^n/(n-4)^4+1164*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-1152*n^7* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+432*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^4-8*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+12*n^7*(n-1)^n/(n-1)^2/( n^n)^2*(n-2)^n/(n-2)^3-4*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-2*n^9*(n-1 )^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+10*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2 )^3-16*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+8*n^6*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-2)^n/(n-2)^3+1909/(n^n)*n^6*(n-6)^n/(n-6)^4-2840/(n^n)*n^5*(n-6)^n/(n-6)^4 +2244/(n^n)*n^4*(n-6)^n/(n-6)^4-720/(n^n)*n^3*(n-6)^n/(n-6)^4-2*n^15*((n-1)^n)^ 5/(n-1)^11/(n^n)^5+24*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-12*n^15*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-2)^n/(n-2)^2+60*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^ 2-96*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^2+48*n^12*((n-1)^n)^3/(n-1) ^8/(n^n)^4*(n-2)^n/(n-2)^2+6*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2-\ 42*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2+108*n^11*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-3)^n/(n-3)^2-120*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2+ 48*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2-12*n^15*((n-1)^n)^3/(n-1)^7/ (n^n)^4*(n-2)^n/(n-2)^3+60*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3-96* n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+48*n^12*((n-1)^n)^3/(n-1)^7/(n ^n)^4*(n-2)^n/(n-2)^3+24*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-168*n ^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3 The, 4, 3, mixed moment of, X[1], and , X[2], is 12 n n 11 n n 12 n (n - 1) (n - 5) 180 n (n - 1) (n - 5) - ------------------------ + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 1092 n (n - 1) (n - 5) 3420 n (n - 1) (n - 5) - -------------------------- + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 5808 n (n - 1) (n - 5) 5040 n (n - 1) (n - 5) - ------------------------- + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n 4 n 1728 n (n - 1) (n - 5) 3 n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 2 n 2 4 8 n 5 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 18 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 8 n 5 4 8 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 18 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 3) - --------------------------- - --------------------------- 8 n 5 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 96 n ((n - 1) ) (n - 3) 276 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 336 n ((n - 1) ) (n - 3) 144 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 18 n ((n - 1) ) (n - 4) 198 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 846 n ((n - 1) ) (n - 4) 1746 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 1728 n ((n - 1) ) (n - 4) 648 n ((n - 1) ) (n - 4) + ----------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 18 n ((n - 1) ) (n - 3) 126 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 324 n ((n - 1) ) (n - 3) 360 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 14 n 2 n 144 n ((n - 1) ) (n - 3) 12 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 7 n 4 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 120 n ((n - 1) ) (n - 4) 468 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 888 n ((n - 1) ) (n - 4) 816 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 12 n n 288 n ((n - 1) ) (n - 4) 3 n (n - 1) (n - 5) - --------------------------- - ----------------------- 5 n 3 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 11 n n 10 n n 42 n (n - 1) (n - 5) 237 n (n - 1) (n - 5) + ------------------------ - ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 690 n (n - 1) (n - 5) 1092 n (n - 1) (n - 5) + ------------------------ - ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 888 n (n - 1) (n - 5) 288 n (n - 1) (n - 5) + ------------------------ - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 4 n 17 n 4 n 12 n ((n - 1) ) (n - 2) 60 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 9 n 5 3 9 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 96 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 9 n 5 3 9 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 7 23 n 7 22 n 7 6 n ((n - 1) ) 36 n ((n - 1) ) 72 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 17 n 7 17 n 7 17 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 12 n 11 n 10 n 9 n n (n - 7) 30 n (n - 7) 390 n (n - 7) 2880 n (n - 7) + ------------ - --------------- + ---------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 7) n (n - 7) n (n - 7) n (n - 7) 8 n 7 n 6 n 13293 n (n - 7) 39690 n (n - 7) 76460 n (n - 7) + ----------------- - ----------------- + ----------------- n 5 n 5 n 5 n (n - 7) n (n - 7) n (n - 7) 5 n 4 n 3 n 91320 n (n - 7) 61056 n (n - 7) 17280 n (n - 7) - ----------------- + ----------------- - ----------------- n 5 n 5 n 5 n (n - 7) n (n - 7) n (n - 7) 13 n n 12 n n 18 n (n - 1) (n - 5) 306 n (n - 1) (n - 5) - ------------------------ + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 2178 n (n - 1) (n - 5) 8406 n (n - 1) (n - 5) - -------------------------- + -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 18972 n (n - 1) (n - 5) 24984 n (n - 1) (n - 5) - -------------------------- + -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 17712 n (n - 1) (n - 5) 5184 n (n - 1) (n - 5) - -------------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 6 n ((n - 1) ) (n - 4) 90 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 546 n ((n - 1) ) (n - 4) 1710 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 2904 n ((n - 1) ) (n - 4) 2520 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 13 n n 864 n ((n - 1) ) (n - 4) 12 n (n - 1) (n - 5) + --------------------------- - ------------------------ 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 12 n n 11 n n 228 n (n - 1) (n - 5) 1812 n (n - 1) (n - 5) + ------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 7788 n (n - 1) (n - 5) 19488 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 28272 n (n - 1) (n - 5) 21888 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 12 n 4 9 n n 6912 n (n - 1) (n - 5) 8 n ((n - 1) ) 147 n (n - 1) (n - 3) + ------------------------- + ----------------- + ------------------------ 2 n 2 5 11 n 4 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 1) (n ) (n - 3) 8 n n 7 n n 378 n (n - 1) (n - 3) 420 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 10 n n 168 n (n - 1) (n - 3) 12 n (n - 1) (n - 3) - ------------------------ - ------------------------ 3 n 2 3 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 96 n (n - 1) (n - 3) 276 n (n - 1) (n - 3) + ----------------------- - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 336 n (n - 1) (n - 3) 144 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 12 n ((n - 1) ) (n - 2) 60 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 96 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 13 n 2 n 21 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) - ------------------------ + -------------------------- 3 n 2 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 21 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 60 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 3 n (n - 1) (n - 3) 30 n (n - 1) (n - 3) - ----------------------- + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 117 n (n - 1) (n - 3) 222 n (n - 1) (n - 3) - ------------------------ + ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 16 n 5 204 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) n ((n - 1) ) - ------------------------ + ----------------------- + --------------- 3 n 2 4 3 n 2 4 11 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 1) (n ) 8 n 7 n 6 n 5 n n (n - 5) 12 n (n - 5) 55 n (n - 5) 120 n (n - 5) + ----------- - -------------- + -------------- - --------------- n 3 n 3 n 3 n 3 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 19 n 4 n 124 n (n - 5) 48 n (n - 5) 162 n ((n - 1) ) (n - 3) + --------------- - -------------- - ---------------------------- n 3 n 3 10 n 5 3 n (n - 5) n (n - 5) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 576 n ((n - 1) ) (n - 3) 1008 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 864 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 16 n 3 n 12 n ((n - 1) ) (n - 4) 708 n ((n - 1) ) (n - 4) - --------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 1824 n ((n - 1) ) (n - 4) 2592 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 1920 n ((n - 1) ) (n - 4) 576 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 2 n 144 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 5) + ---------------------------- + -------------------------- 8 n 4 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 48 n ((n - 1) ) (n - 5) 321 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 1164 n ((n - 1) ) (n - 5) 2472 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 3072 n ((n - 1) ) (n - 5) 2064 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 22 n 5 n 576 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 2) - --------------------------- - -------------------------- 6 n 3 3 11 n 6 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 24 n ((n - 1) ) (n - 2) 69 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 11 n 6 4 11 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 84 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 11 n 6 4 11 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 12 n ((n - 1) ) (n - 3) 120 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 468 n ((n - 1) ) (n - 3) 888 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 816 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 18 n ((n - 1) ) (n - 4) 234 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1242 n ((n - 1) ) (n - 4) 3438 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 5220 n ((n - 1) ) (n - 4) 4104 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 16 n 2 n 1296 n ((n - 1) ) (n - 4) 12 n ((n - 1) ) (n - 5) - ----------------------------- + --------------------------- 7 n 4 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 204 n ((n - 1) ) (n - 5) 1452 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 5604 n ((n - 1) ) (n - 5) 12648 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 16656 n ((n - 1) ) (n - 5) 11808 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 14 n n 3456 n ((n - 1) ) (n - 5) 3 n (n - 1) (n - 6) - ---------------------------- - ----------------------- 5 n 3 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 6) 13 n n 12 n n 66 n (n - 1) (n - 6) 618 n (n - 1) (n - 6) + ------------------------ - ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 10 n n 3216 n (n - 1) (n - 6) 10167 n (n - 1) (n - 6) + -------------------------- - --------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 19974 n (n - 1) (n - 6) 23772 n (n - 1) (n - 6) + -------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 15624 n (n - 1) (n - 6) 4320 n (n - 1) (n - 6) + -------------------------- - ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 20 n 4 n 19 n 4 n n ((n - 1) ) (n - 3) 12 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 8 n 5 5 8 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 55 n ((n - 1) ) (n - 3) 120 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 8 n 5 5 8 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 124 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 8 n 5 5 8 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 4 n ((n - 1) ) (n - 4) 60 n ((n - 1) ) (n - 4) - -------------------------- + --------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 364 n ((n - 1) ) (n - 4) 1140 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 1936 n ((n - 1) ) (n - 4) 1680 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 16 n 2 n 576 n ((n - 1) ) (n - 4) 6 n ((n - 1) ) (n - 5) - ---------------------------- + -------------------------- 6 n 4 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 114 n ((n - 1) ) (n - 5) 906 n ((n - 1) ) (n - 5) - ---------------------------- + ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 3894 n ((n - 1) ) (n - 5) 9744 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 14136 n ((n - 1) ) (n - 5) 10944 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 14 n n 3456 n ((n - 1) ) (n - 5) 4 n (n - 1) (n - 6) - ---------------------------- - ----------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 6) 13 n n 12 n n 96 n (n - 1) (n - 6) 984 n (n - 1) (n - 6) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 10 n n 5616 n (n - 1) (n - 6) 19476 n (n - 1) (n - 6) + -------------------------- - --------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 41904 n (n - 1) (n - 6) 54416 n (n - 1) (n - 6) + -------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 38784 n (n - 1) (n - 6) 11520 n (n - 1) (n - 6) + -------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 20 n 4 n 19 n 4 n 4 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 11 n 5 2 11 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 128 n ((n - 1) ) (n - 3) 224 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 11 n 5 2 11 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 192 n ((n - 1) ) (n - 3) 64 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 11 n 5 2 11 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n n ((n - 1) ) (n - 4) 12 n ((n - 1) ) (n - 4) - ------------------------ + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 152 n ((n - 1) ) (n - 4) 216 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 160 n ((n - 1) ) (n - 4) 48 n ((n - 1) ) (n - 4) + ---------------------------- - --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 22 n 5 n 59 n ((n - 1) ) (n - 4) 12 n ((n - 1) ) (n - 2) - --------------------------- - --------------------------- 9 n 4 2 12 n 6 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 84 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 12 n 6 3 12 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 240 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 12 n 6 3 12 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 17 n 3 n 18 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 5 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 324 n ((n - 1) ) (n - 3) 1152 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 2016 n ((n - 1) ) (n - 3) 1728 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 2 n 576 n ((n - 1) ) (n - 3) 18 n ((n - 1) ) (n - 4) + ---------------------------- + --------------------------- 8 n 4 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 1062 n ((n - 1) ) (n - 4) 2736 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 3888 n ((n - 1) ) (n - 4) 2880 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n 2 n 864 n ((n - 1) ) (n - 4) 216 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 6 20 n 6 19 n 6 6 n ((n - 1) ) 36 n ((n - 1) ) 72 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 15 n 6 15 n 6 15 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 11 n 10 n 9 n 8 n 6 n (n - 6) 144 n (n - 6) 1476 n (n - 6) 8424 n (n - 6) + -------------- - ---------------- + ---------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) n (n - 6) 7 n 6 n 5 n 29214 n (n - 6) 62856 n (n - 6) 81624 n (n - 6) + ----------------- - ----------------- + ----------------- n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) 4 n 3 n n 5 n 4 58176 n (n - 6) 17280 n (n - 6) (n - 2) n 3 (n - 2) n - ----------------- + ----------------- + ----------- - ------------- n 5 n 5 3 n 3 n n (n - 6) n (n - 6) (n - 2) n (n - 2) n n 3 16 n 3 n 15 n 3 n 2 (n - 2) n 7 n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) + ------------- - -------------------------- + --------------------------- 3 n 9 n 4 2 9 n 4 2 (n - 2) n (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 126 n ((n - 1) ) (n - 2) 140 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 16 n 3 n 56 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - --------------------------- - --------------------------- 9 n 4 2 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 84 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 240 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 21 n ((n - 1) ) (n - 3) 189 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 672 n ((n - 1) ) (n - 3) 1176 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1008 n ((n - 1) ) (n - 3) 336 n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 12 n ((n - 1) ) (n - 3) 120 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 468 n ((n - 1) ) (n - 3) 888 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 816 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 21 n (n - 1) (n - 4) 273 n (n - 1) (n - 4) - ------------------------ + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 1449 n (n - 1) (n - 4) 4011 n (n - 1) (n - 4) - -------------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 6090 n (n - 1) (n - 4) 4788 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 12 n n 1512 n (n - 1) (n - 4) 4 n (n - 1) (n - 4) - ------------------------- - ----------------------- 3 n 2 4 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 60 n (n - 1) (n - 4) 364 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 1140 n (n - 1) (n - 4) 1936 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 7 n 1680 n (n - 1) (n - 4) 576 n (n - 1) (n - 4) 3 n (n - 3) + ------------------------- - ------------------------ + ------------- 2 n 2 5 2 n 2 5 n 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) n (n - 3) 6 n 5 n 4 n 3 n 24 n (n - 3) 69 n (n - 3) 84 n (n - 3) 36 n (n - 3) - -------------- + -------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 10 n 9 n 8 n 7 n 7 n (n - 5) 133 n (n - 5) 1057 n (n - 5) 4543 n (n - 5) + -------------- - --------------- + ---------------- - ---------------- n 5 n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 11368 n (n - 5) 16492 n (n - 5) 12768 n (n - 5) + ----------------- - ----------------- + ----------------- n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) 3 n 15 n 5 15 n 4 4032 n (n - 5) 32 n ((n - 1) ) n ((n - 1) ) - ---------------- - ------------------ - --------------- n 5 13 n 5 11 n 4 n (n - 5) (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 9 n 8 n 6 n ((n - 1) ) 12 n ((n - 1) ) n (n - 4) 15 n (n - 4) + ----------------- - ------------------ + ----------- - -------------- 11 n 4 11 n 4 n 5 n 5 (n - 1) (n ) (n - 1) (n ) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 91 n (n - 4) 285 n (n - 4) 484 n (n - 4) 420 n (n - 4) + -------------- - --------------- + --------------- - --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 18 n 5 17 n 5 144 n (n - 4) 4 n ((n - 1) ) 24 n ((n - 1) ) + --------------- + ----------------- - ------------------ n 5 13 n 5 13 n 5 n (n - 4) (n - 1) (n ) (n - 1) (n ) 16 n 5 17 n 3 n 48 n ((n - 1) ) 18 n ((n - 1) ) (n - 3) + ------------------ - --------------------------- 13 n 5 7 n 4 4 (n - 1) (n ) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 180 n ((n - 1) ) (n - 3) 702 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1332 n ((n - 1) ) (n - 3) 1224 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 2 n 432 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 4) + ---------------------------- + --------------------------- 7 n 4 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 468 n ((n - 1) ) (n - 4) 2484 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 6876 n ((n - 1) ) (n - 4) 10440 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 8208 n ((n - 1) ) (n - 4) 2592 n ((n - 1) ) (n - 4) - ----------------------------- + ---------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n 5 n 4 n 3 n 7 n (n - 3) 35 n (n - 3) 56 n (n - 3) 28 n (n - 3) + ------------- - -------------- + -------------- - -------------- n 3 n 3 n 3 n 3 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 14 n 3 n 13 n 3 n 4 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 3 6 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 12 n 2 n 8 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 3) - -------------------------- + -------------------------- 6 n 4 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 30 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 10 n n 24 n ((n - 1) ) (n - 3) 4 n (n - 1) (n - 4) - -------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 9 n n 8 n n 32 n (n - 1) (n - 4) 92 n (n - 1) (n - 4) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 112 n (n - 1) (n - 4) 48 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 6 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 9 n n 12 n ((n - 1) ) (n - 2) 12 n (n - 1) (n - 3) + -------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 8 n n 7 n n 60 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 7 n 6 n 48 n (n - 1) (n - 3) 6 n (n - 4) 48 n (n - 4) + ----------------------- + ------------- - -------------- 2 n 2 3 n 3 n 3 (n - 1) (n ) (n - 3) n (n - 4) n (n - 4) 5 n 4 n 3 n 8 n 138 n (n - 4) 168 n (n - 4) 72 n (n - 4) 21 n (n - 4) + --------------- - --------------- + -------------- + -------------- n 3 n 3 n 3 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 231 n (n - 4) 987 n (n - 4) 2037 n (n - 4) 2016 n (n - 4) - --------------- + --------------- - ---------------- + ---------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 18 n 6 20 n 6 756 n (n - 4) 12 n ((n - 1) ) 3 n ((n - 1) ) - --------------- - ------------------ - ----------------- n 4 14 n 6 14 n 6 n (n - 4) (n - 1) (n ) (n - 1) (n ) 19 n 6 10 n 9 n 8 n 12 n ((n - 1) ) 3 n (n - 6) 60 n (n - 6) 498 n (n - 6) + ------------------ + -------------- - -------------- + --------------- 14 n 6 n 4 n 4 n 4 (n - 1) (n ) n (n - 6) n (n - 6) n (n - 6) 7 n 9 n 8 n 7 n 2220 n (n - 6) 18 n (n - 5) 270 n (n - 5) 1638 n (n - 5) - ---------------- + -------------- - --------------- + ---------------- n 4 n 4 n 4 n 4 n (n - 6) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 5130 n (n - 5) 8712 n (n - 5) 7560 n (n - 5) - ---------------- + ---------------- - ---------------- n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) 3 n 11 n 2 n 2592 n (n - 5) 648 n ((n - 1) ) (n - 3) + ---------------- + ---------------------------- n 4 5 n 3 3 n (n - 5) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 720 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 18 n (n - 1) (n - 4) 180 n (n - 1) (n - 4) - ------------------------ + ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 702 n (n - 1) (n - 4) 1332 n (n - 1) (n - 4) - ------------------------ + ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1224 n (n - 1) (n - 4) 432 n (n - 1) (n - 4) - ------------------------- + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 18 n ((n - 1) ) (n - 3) 144 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 414 n ((n - 1) ) (n - 3) 504 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 216 n ((n - 1) ) (n - 3) 36 n (n - 1) (n - 4) + --------------------------- - ------------------------ 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 396 n (n - 1) (n - 4) 1692 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 3492 n (n - 1) (n - 4) 3456 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 19 n 4 n 1296 n (n - 1) (n - 4) 12 n ((n - 1) ) (n - 2) + ------------------------- + --------------------------- 2 n 2 4 11 n 5 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 84 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 11 n 5 2 11 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 240 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 11 n 5 2 11 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 6 n ((n - 1) ) (n - 3) 54 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 192 n ((n - 1) ) (n - 3) 336 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 288 n ((n - 1) ) (n - 3) 96 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 18 n ((n - 1) ) (n - 2) 126 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 324 n ((n - 1) ) (n - 2) 360 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 6 21 n 7 144 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) 48 n ((n - 1) ) + ---------------------------- + ------------------ - ------------------ 10 n 5 3 15 n 6 17 n 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 6 n n 7 n n 8 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 9 n n 4 n (n - 1) (n - 2) 3 n (n - 1) (n - 2) - ----------------------- - ----------------------- 2 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 15 n (n - 1) (n - 2) 24 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 6 n 5 n 12 n (n - 1) (n - 2) 5727 n (n - 6) 8520 n (n - 6) + ----------------------- + ---------------- - ---------------- 3 n 2 3 n 4 n 4 (n - 1) (n ) (n - 2) n (n - 6) n (n - 6) 4 n 3 n 15 n 5 6732 n (n - 6) 2160 n (n - 6) 2 n ((n - 1) ) + ---------------- - ---------------- - ----------------- n 4 n 4 11 n 5 n (n - 6) n (n - 6) (n - 1) (n ) 15 n 3 n 14 n 3 n 18 n ((n - 1) ) (n - 2) 90 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 144 n ((n - 1) ) (n - 2) 72 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 36 n ((n - 1) ) (n - 3) 252 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 6 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 13 n 6 2 13 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 108 n ((n - 1) ) (n - 2) 120 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 13 n 6 2 13 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 48 n ((n - 1) ) (n - 2) - --------------------------- 13 n 6 2 (n - 1) (n ) (n - 2) and in Maple notation -12*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4+180*n^11*(n-1)^n/(n-1)^2/(n^n) ^2*(n-5)^n/(n-5)^4-1092*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4+3420*n^9*( n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4-5808*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n /(n-5)^4+5040*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4-1728*n^6*(n-1)^n/(n-1 )^2/(n^n)^2*(n-5)^n/(n-5)^4+3*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4-\ 18*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4+33*n^16*((n-1)^n)^4/(n-1)^8 /(n^n)^5*(n-2)^n/(n-2)^4-18*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4-12 *n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4+96*n^15*((n-1)^n)^3/(n-1)^6/( n^n)^4*(n-3)^n/(n-3)^4-276*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4+336 *n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4-144*n^12*((n-1)^n)^3/(n-1)^6/ (n^n)^4*(n-3)^n/(n-3)^4+18*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4-198 *n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4+846*n^12*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-4)^n/(n-4)^4-1746*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4+ 1728*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4-648*n^9*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-4)^n/(n-4)^4-18*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3+ 126*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3-324*n^14*((n-1)^n)^3/(n-1) ^7/(n^n)^4*(n-3)^n/(n-3)^3+360*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3 -144*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3+12*n^14*((n-1)^n)^2/(n-1) ^5/(n^n)^3*(n-4)^n/(n-4)^3-120*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3 +468*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-888*n^11*((n-1)^n)^2/(n-1 )^5/(n^n)^3*(n-4)^n/(n-4)^3+816*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^ 3-288*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-3*n^12*(n-1)^n/(n-1)^3/(n ^n)^2*(n-5)^n/(n-5)^3+42*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3-237*n^10* (n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3+690*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^3-1092*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3+888*n^7*(n-1)^n/(n-1) ^3/(n^n)^2*(n-5)^n/(n-5)^3-288*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3+12*n ^18*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^3-60*n^17*((n-1)^n)^4/(n-1)^9/(n^ n)^5*(n-2)^n/(n-2)^3+96*n^16*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^3-48*n^ 15*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^3+6*n^24*((n-1)^n)^7/(n-1)^17/(n^n )^7-36*n^23*((n-1)^n)^7/(n-1)^17/(n^n)^7+72*n^22*((n-1)^n)^7/(n-1)^17/(n^n)^7+1 /(n^n)*n^12*(n-7)^n/(n-7)^5-30/(n^n)*n^11*(n-7)^n/(n-7)^5+390/(n^n)*n^10*(n-7)^ n/(n-7)^5-2880/(n^n)*n^9*(n-7)^n/(n-7)^5+13293/(n^n)*n^8*(n-7)^n/(n-7)^5-39690/ (n^n)*n^7*(n-7)^n/(n-7)^5+76460/(n^n)*n^6*(n-7)^n/(n-7)^5-91320/(n^n)*n^5*(n-7) ^n/(n-7)^5+61056/(n^n)*n^4*(n-7)^n/(n-7)^5-17280/(n^n)*n^3*(n-7)^n/(n-7)^5-18*n ^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+306*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n -5)^n/(n-5)^4-2178*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+8406*n^10*(n-1) ^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-18972*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n -5)^4+24984*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-17712*n^7*(n-1)^n/(n-1) ^3/(n^n)^2*(n-5)^n/(n-5)^4+5184*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+6*n ^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-90*n^14*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-4)^n/(n-4)^5+546*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-1710* n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5+2904*n^11*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-4)^n/(n-4)^5-2520*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5+ 864*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-12*n^13*(n-1)^n/(n-1)^2/(n^ n)^2*(n-5)^n/(n-5)^5+228*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-1812*n^11 *(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+7788*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5 )^n/(n-5)^5-19488*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+28272*n^8*(n-1)^n /(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-21888*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5 )^5+6912*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+8*n^12*((n-1)^n)^4/(n-1)^ 11/(n^n)^4+147*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-378*n^8*(n-1)^n/(n-1 )^3/(n^n)^2*(n-3)^n/(n-3)^3+420*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-168 *n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-12*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n -3)^n/(n-3)^4+96*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-276*n^8*(n-1)^n/(n -1)^2/(n^n)^2*(n-3)^n/(n-3)^4+336*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-\ 144*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+12*n^12*((n-1)^n)^2/(n-1)^5/(n^ n)^3*(n-2)^n/(n-2)^3-60*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3+96*n^ 10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-48*n^9*((n-1)^n)^2/(n-1)^5/(n^n) ^3*(n-2)^n/(n-2)^3-21*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3+3*n^13*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-21*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2 )^n/(n-2)^3+54*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-60*n^10*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+24*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n /(n-2)^3-3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+30*n^10*(n-1)^n/(n-1)^3 /(n^n)^2*(n-3)^n/(n-3)^4-117*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+222*n^ 8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-204*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^4+72*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+n^16*((n-1)^n)^5/(n-1 )^11/(n^n)^5+1/(n^n)*n^8*(n-5)^n/(n-5)^3-12/(n^n)*n^7*(n-5)^n/(n-5)^3+55/(n^n)* n^6*(n-5)^n/(n-5)^3-120/(n^n)*n^5*(n-5)^n/(n-5)^3+124/(n^n)*n^4*(n-5)^n/(n-5)^3 -48/(n^n)*n^3*(n-5)^n/(n-5)^3-162*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-\ 3)^3+576*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3-1008*n^17*((n-1)^n)^ 4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3+864*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^ n/(n-3)^3-288*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3-12*n^18*((n-1)^ n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3-708*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4) ^n/(n-4)^3+1824*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3-2592*n^14*((n-\ 1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3+1920*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*( n-4)^n/(n-4)^3-576*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3+144*n^17*(( n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3+3*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -5)^n/(n-5)^3-48*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3+321*n^14*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3-1164*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-5)^n/(n-5)^3+2472*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3-3072*n^11* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3+2064*n^10*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-5)^n/(n-5)^3-576*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3-3*n^22*( (n-1)^n)^5/(n-1)^11/(n^n)^6*(n-2)^n/(n-2)^4+24*n^21*((n-1)^n)^5/(n-1)^11/(n^n)^ 6*(n-2)^n/(n-2)^4-69*n^20*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-2)^n/(n-2)^4+84*n^19* ((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-2)^n/(n-2)^4-36*n^18*((n-1)^n)^5/(n-1)^11/(n^n) ^6*(n-2)^n/(n-2)^4+12*n^20*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^4-120*n^19 *((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^4+468*n^18*((n-1)^n)^4/(n-1)^9/(n^n) ^5*(n-3)^n/(n-3)^4-888*n^17*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^4+816*n^ 16*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^4-288*n^15*((n-1)^n)^4/(n-1)^9/(n^ n)^5*(n-3)^n/(n-3)^4-18*n^18*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^4+234*n^ 17*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^4-1242*n^16*((n-1)^n)^3/(n-1)^7/(n ^n)^4*(n-4)^n/(n-4)^4+3438*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^4-\ 5220*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^4+4104*n^13*((n-1)^n)^3/(n-\ 1)^7/(n^n)^4*(n-4)^n/(n-4)^4-1296*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4 )^4+12*n^16*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^4-204*n^15*((n-1)^n)^2/(n -1)^5/(n^n)^3*(n-5)^n/(n-5)^4+1452*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-\ 5)^4-5604*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^4+12648*n^12*((n-1)^n) ^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^4-16656*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5) ^n/(n-5)^4+11808*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^4-3456*n^9*((n-\ 1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^4-3*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/ (n-6)^4+66*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4-618*n^12*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-6)^n/(n-6)^4+3216*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4-\ 10167*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4+19974*n^9*(n-1)^n/(n-1)^3/(n ^n)^2*(n-6)^n/(n-6)^4-23772*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4+15624*n ^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4-4320*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 6)^n/(n-6)^4+n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^5-12*n^19*((n-1)^n) ^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^5+55*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/ (n-3)^5-120*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^5+124*n^16*((n-1)^n) ^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^5-48*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/ (n-3)^5-4*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5+60*n^17*((n-1)^n)^3/ (n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5-364*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n -4)^5+1140*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5-1936*n^14*((n-1)^n) ^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5+1680*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^ n/(n-4)^5-576*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5+6*n^16*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^5-114*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n /(n-5)^5+906*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^5-3894*n^13*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^5+9744*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5 )^n/(n-5)^5-14136*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^5+10944*n^10*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^5-3456*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3 *(n-5)^n/(n-5)^5-4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^5+96*n^13*(n-1)^n /(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^5-984*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6) ^5+5616*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^5-19476*n^10*(n-1)^n/(n-1)^2 /(n^n)^2*(n-6)^n/(n-6)^5+41904*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^5-\ 54416*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^5+38784*n^7*(n-1)^n/(n-1)^2/(n^ n)^2*(n-6)^n/(n-6)^5-11520*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^5+4*n^20*( (n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^2-36*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^ 5*(n-3)^n/(n-3)^2+128*n^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^2-224*n^ 17*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^2+192*n^16*((n-1)^n)^4/(n-1)^11/( n^n)^5*(n-3)^n/(n-3)^2-64*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^2-n^ 18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^2+12*n^17*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-4)^n/(n-4)^2+152*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^2-216*n^ 14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^2+160*n^13*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-4)^n/(n-4)^2-48*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^2-59*n^ 16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^2-12*n^22*((n-1)^n)^5/(n-1)^12/(n^ n)^6*(n-2)^n/(n-2)^3+84*n^21*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^3-216*n ^20*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^3+240*n^19*((n-1)^n)^5/(n-1)^12/ (n^n)^6*(n-2)^n/(n-2)^3-96*n^18*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^3+18 *n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3-36*n^17*((n-1)^n)^3/(n-1)^8/ (n^n)^4*(n-3)^n/(n-3)^3+324*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3-\ 1152*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+2016*n^14*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-3)^n/(n-3)^3-1728*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3 )^3+576*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^3+18*n^15*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-4)^n/(n-4)^3+1062*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-\ 4)^3-2736*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3+3888*n^11*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3-2880*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n /(n-4)^3+864*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3-216*n^14*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^3-6*n^21*((n-1)^n)^6/(n-1)^15/(n^n)^6+36*n^20* ((n-1)^n)^6/(n-1)^15/(n^n)^6-72*n^19*((n-1)^n)^6/(n-1)^15/(n^n)^6+6/(n^n)*n^11* (n-6)^n/(n-6)^5-144/(n^n)*n^10*(n-6)^n/(n-6)^5+1476/(n^n)*n^9*(n-6)^n/(n-6)^5-\ 8424/(n^n)*n^8*(n-6)^n/(n-6)^5+29214/(n^n)*n^7*(n-6)^n/(n-6)^5-62856/(n^n)*n^6* (n-6)^n/(n-6)^5+81624/(n^n)*n^5*(n-6)^n/(n-6)^5-58176/(n^n)*n^4*(n-6)^n/(n-6)^5 +17280/(n^n)*n^3*(n-6)^n/(n-6)^5+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n ^n)*n^4+2*(n-2)^n/(n-2)^3/(n^n)*n^3-7*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/ (n-2)^2+49*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-126*n^14*((n-1)^n)^ 3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2+140*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/ (n-2)^2-56*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-12*n^16*((n-1)^n)^3 /(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+84*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n -2)^3-216*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+240*n^13*((n-1)^n)^3 /(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-96*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n -2)^3+21*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-189*n^13*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+672*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n -3)^3-1176*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+1008*n^10*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-336*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^3+12*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-120*n^13*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+468*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/ (n-3)^4-888*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+816*n^10*((n-1)^n) ^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-288*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/ (n-3)^4-21*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+273*n^11*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^4-1449*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+ 4011*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-6090*n^8*(n-1)^n/(n-1)^3/(n^n) ^2*(n-4)^n/(n-4)^4+4788*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-1512*n^6*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-4*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n -4)^5+60*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-364*n^10*(n-1)^n/(n-1)^2/ (n^n)^2*(n-4)^n/(n-4)^5+1140*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-1936*n ^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+1680*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 4)^n/(n-4)^5-576*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+3/(n^n)*n^7*(n-3)^ n/(n-3)^4-24/(n^n)*n^6*(n-3)^n/(n-3)^4+69/(n^n)*n^5*(n-3)^n/(n-3)^4-84/(n^n)*n^ 4*(n-3)^n/(n-3)^4+36/(n^n)*n^3*(n-3)^n/(n-3)^4+7/(n^n)*n^10*(n-5)^n/(n-5)^5-133 /(n^n)*n^9*(n-5)^n/(n-5)^5+1057/(n^n)*n^8*(n-5)^n/(n-5)^5-4543/(n^n)*n^7*(n-5)^ n/(n-5)^5+11368/(n^n)*n^6*(n-5)^n/(n-5)^5-16492/(n^n)*n^5*(n-5)^n/(n-5)^5+12768 /(n^n)*n^4*(n-5)^n/(n-5)^5-4032/(n^n)*n^3*(n-5)^n/(n-5)^5-32*n^15*((n-1)^n)^5/( n-1)^13/(n^n)^5-n^15*((n-1)^n)^4/(n-1)^11/(n^n)^4+6*n^14*((n-1)^n)^4/(n-1)^11/( n^n)^4-12*n^13*((n-1)^n)^4/(n-1)^11/(n^n)^4+1/(n^n)*n^9*(n-4)^n/(n-4)^5-15/(n^n )*n^8*(n-4)^n/(n-4)^5+91/(n^n)*n^7*(n-4)^n/(n-4)^5-285/(n^n)*n^6*(n-4)^n/(n-4)^ 5+484/(n^n)*n^5*(n-4)^n/(n-4)^5-420/(n^n)*n^4*(n-4)^n/(n-4)^5+144/(n^n)*n^3*(n-\ 4)^n/(n-4)^5+4*n^18*((n-1)^n)^5/(n-1)^13/(n^n)^5-24*n^17*((n-1)^n)^5/(n-1)^13/( n^n)^5+48*n^16*((n-1)^n)^5/(n-1)^13/(n^n)^5-18*n^17*((n-1)^n)^3/(n-1)^7/(n^n)^4 *(n-3)^n/(n-3)^4+180*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4-702*n^15* ((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+1332*n^14*((n-1)^n)^3/(n-1)^7/(n^n) ^4*(n-3)^n/(n-3)^4-1224*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+432*n^ 12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+36*n^15*((n-1)^n)^2/(n-1)^5/(n^n )^3*(n-4)^n/(n-4)^4-468*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+2484*n ^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-6876*n^12*((n-1)^n)^2/(n-1)^5/( n^n)^3*(n-4)^n/(n-4)^4+10440*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-\ 8208*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+2592*n^9*((n-1)^n)^2/(n-1 )^5/(n^n)^3*(n-4)^n/(n-4)^4+7/(n^n)*n^6*(n-3)^n/(n-3)^3-35/(n^n)*n^5*(n-3)^n/(n -3)^3+56/(n^n)*n^4*(n-3)^n/(n-3)^3-28/(n^n)*n^3*(n-3)^n/(n-3)^3-4*n^14*((n-1)^n )^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3+12*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n /(n-2)^3-8*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3+6*n^12*((n-1)^n)^2/ (n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-30*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-\ 3)^3+48*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-24*n^9*((n-1)^n)^2/(n-\ 1)^4/(n^n)^3*(n-3)^n/(n-3)^3-4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3+32* n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3-92*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4 )^n/(n-4)^3+112*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3-48*n^6*(n-1)^n/(n-1 )^2/(n^n)^2*(n-4)^n/(n-4)^3+6*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-\ 18*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3+12*n^9*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-2)^n/(n-2)^3-12*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+60*n^8*( n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3-96*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/( n-3)^3+48*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+6/(n^n)*n^7*(n-4)^n/(n-4) ^3-48/(n^n)*n^6*(n-4)^n/(n-4)^3+138/(n^n)*n^5*(n-4)^n/(n-4)^3-168/(n^n)*n^4*(n-\ 4)^n/(n-4)^3+72/(n^n)*n^3*(n-4)^n/(n-4)^3+21/(n^n)*n^8*(n-4)^n/(n-4)^4-231/(n^n )*n^7*(n-4)^n/(n-4)^4+987/(n^n)*n^6*(n-4)^n/(n-4)^4-2037/(n^n)*n^5*(n-4)^n/(n-4 )^4+2016/(n^n)*n^4*(n-4)^n/(n-4)^4-756/(n^n)*n^3*(n-4)^n/(n-4)^4-12*n^18*((n-1) ^n)^6/(n-1)^14/(n^n)^6-3*n^20*((n-1)^n)^6/(n-1)^14/(n^n)^6+12*n^19*((n-1)^n)^6/ (n-1)^14/(n^n)^6+3/(n^n)*n^10*(n-6)^n/(n-6)^4-60/(n^n)*n^9*(n-6)^n/(n-6)^4+498/ (n^n)*n^8*(n-6)^n/(n-6)^4-2220/(n^n)*n^7*(n-6)^n/(n-6)^4+18/(n^n)*n^9*(n-5)^n/( n-5)^4-270/(n^n)*n^8*(n-5)^n/(n-5)^4+1638/(n^n)*n^7*(n-5)^n/(n-5)^4-5130/(n^n)* n^6*(n-5)^n/(n-5)^4+8712/(n^n)*n^5*(n-5)^n/(n-5)^4-7560/(n^n)*n^4*(n-5)^n/(n-5) ^4+2592/(n^n)*n^3*(n-5)^n/(n-5)^4+648*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/ (n-3)^3-720*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3+288*n^9*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-18*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4) ^3+180*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-702*n^9*(n-1)^n/(n-1)^3/(n^ n)^2*(n-4)^n/(n-4)^3+1332*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-1224*n^7* (n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+432*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n /(n-4)^3+18*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-144*n^12*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+414*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n /(n-3)^4-504*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+216*n^9*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-36*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4 )^4+396*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-1692*n^9*(n-1)^n/(n-1)^2/( n^n)^2*(n-4)^n/(n-4)^4+3492*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-3456*n^ 7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+1296*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4 )^n/(n-4)^4+12*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^2-84*n^18*((n-1) ^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^2+216*n^17*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n -2)^n/(n-2)^2-240*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^2+96*n^15*((n -1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^2-6*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n -3)^n/(n-3)^2+54*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2-192*n^15*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2+336*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n -3)^n/(n-3)^2-288*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2+96*n^12*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^2+18*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n -2)^n/(n-2)^3-126*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3+324*n^17*(( n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3-360*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^ 5*(n-2)^n/(n-2)^3+144*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3+48*n^18 *((n-1)^n)^6/(n-1)^15/(n^n)^6-48*n^21*((n-1)^n)^7/(n-1)^17/(n^n)^7-8*n^6*(n-1)^ n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3+12*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^ 3-4*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*( n-2)^n/(n-2)^3+15*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-24*n^7*(n-1)^n/(n -1)^3/(n^n)^2*(n-2)^n/(n-2)^3+12*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+ 5727/(n^n)*n^6*(n-6)^n/(n-6)^4-8520/(n^n)*n^5*(n-6)^n/(n-6)^4+6732/(n^n)*n^4*(n -6)^n/(n-6)^4-2160/(n^n)*n^3*(n-6)^n/(n-6)^4-2*n^15*((n-1)^n)^5/(n-1)^11/(n^n)^ 5-18*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+90*n^14*((n-1)^n)^3/(n-1) ^7/(n^n)^4*(n-2)^n/(n-2)^3-144*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3 +72*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+36*n^13*((n-1)^n)^2/(n-1)^ 5/(n^n)^3*(n-3)^n/(n-3)^3-252*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-\ 6*n^22*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^2+42*n^21*((n-1)^n)^5/(n-1)^ 13/(n^n)^6*(n-2)^n/(n-2)^2-108*n^20*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^ 2+120*n^19*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^2-48*n^18*((n-1)^n)^5/(n-\ 1)^13/(n^n)^6*(n-2)^n/(n-2)^2 The, 4, 4, mixed moment of, X[1], and , X[2], is 12 n n 11 n n 28 n (n - 1) (n - 5) 420 n (n - 1) (n - 5) - ------------------------ + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 2548 n (n - 1) (n - 5) 7980 n (n - 1) (n - 5) - -------------------------- + ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 13552 n (n - 1) (n - 5) 11760 n (n - 1) (n - 5) - -------------------------- + -------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n 4 n 4032 n (n - 1) (n - 5) 7 n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 2 n 2 4 8 n 5 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 42 n ((n - 1) ) (n - 2) 77 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 8 n 5 4 8 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 42 n ((n - 1) ) (n - 2) 28 n ((n - 1) ) (n - 3) - --------------------------- - --------------------------- 8 n 5 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 224 n ((n - 1) ) (n - 3) 644 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 784 n ((n - 1) ) (n - 3) 336 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 42 n ((n - 1) ) (n - 4) 462 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1974 n ((n - 1) ) (n - 4) 4074 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 4032 n ((n - 1) ) (n - 4) 1512 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 24 n ((n - 1) ) (n - 3) 168 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 432 n ((n - 1) ) (n - 3) 480 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 14 n 2 n 192 n ((n - 1) ) (n - 3) 16 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 7 n 4 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 160 n ((n - 1) ) (n - 4) 624 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 1184 n ((n - 1) ) (n - 4) 1088 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 12 n n 384 n ((n - 1) ) (n - 4) 4 n (n - 1) (n - 5) - --------------------------- - ----------------------- 5 n 3 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 11 n n 10 n n 56 n (n - 1) (n - 5) 316 n (n - 1) (n - 5) + ------------------------ - ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 920 n (n - 1) (n - 5) 1456 n (n - 1) (n - 5) + ------------------------ - ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 1184 n (n - 1) (n - 5) 384 n (n - 1) (n - 5) + ------------------------- - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 4 n 17 n 4 n 16 n ((n - 1) ) (n - 2) 80 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 9 n 5 3 9 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 128 n ((n - 1) ) (n - 2) 64 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 9 n 5 3 9 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 7 23 n 7 22 n 7 6 n ((n - 1) ) 36 n ((n - 1) ) 72 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 17 n 7 17 n 7 17 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 12 n 11 n 10 n 6 n (n - 7) 180 n (n - 7) 2340 n (n - 7) + -------------- - ---------------- + ----------------- n 5 n 5 n 5 n (n - 7) n (n - 7) n (n - 7) 9 n 8 n 7 n 17280 n (n - 7) 79758 n (n - 7) 238140 n (n - 7) - ----------------- + ----------------- - ------------------ n 5 n 5 n 5 n (n - 7) n (n - 7) n (n - 7) 6 n 5 n 4 n 458760 n (n - 7) 547920 n (n - 7) 366336 n (n - 7) + ------------------ - ------------------ + ------------------ n 5 n 5 n 5 n (n - 7) n (n - 7) n (n - 7) 3 n 13 n n 103680 n (n - 7) 72 n (n - 1) (n - 5) - ------------------ - ------------------------ n 5 3 n 2 4 n (n - 7) (n - 1) (n ) (n - 5) 12 n n 11 n n 1224 n (n - 1) (n - 5) 8712 n (n - 1) (n - 5) + -------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 33624 n (n - 1) (n - 5) 75888 n (n - 1) (n - 5) + --------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 99936 n (n - 1) (n - 5) 70848 n (n - 1) (n - 5) + -------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 15 n 2 n 20736 n (n - 1) (n - 5) 36 n ((n - 1) ) (n - 4) + -------------------------- + --------------------------- 3 n 2 4 4 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 540 n ((n - 1) ) (n - 4) 3276 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 10260 n ((n - 1) ) (n - 4) 17424 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 15120 n ((n - 1) ) (n - 4) 5184 n ((n - 1) ) (n - 4) - ------------------------------ + ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 72 n (n - 1) (n - 5) 1368 n (n - 1) (n - 5) - ------------------------ + -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 10872 n (n - 1) (n - 5) 46728 n (n - 1) (n - 5) - --------------------------- + --------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 116928 n (n - 1) (n - 5) 169632 n (n - 1) (n - 5) - --------------------------- + --------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 131328 n (n - 1) (n - 5) 41472 n (n - 1) (n - 5) - --------------------------- + -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 196 n (n - 1) (n - 3) 504 n (n - 1) (n - 3) + ------------------------ - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 560 n (n - 1) (n - 3) 224 n (n - 1) (n - 3) + ------------------------ - ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 28 n (n - 1) (n - 3) 224 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 644 n (n - 1) (n - 3) 784 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 2 n 336 n (n - 1) (n - 3) 16 n ((n - 1) ) (n - 2) - ------------------------ + --------------------------- 2 n 2 4 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 80 n ((n - 1) ) (n - 2) 128 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 64 n ((n - 1) ) (n - 2) 28 n (n - 1) (n - 3) - -------------------------- - ------------------------ 5 n 3 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 5184 n ((n - 1) ) (n - 3) 3840 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 18 n 3 n 1152 n ((n - 1) ) (n - 3) 3720 n ((n - 1) ) (n - 5) - ----------------------------- - ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n 17016 n ((n - 1) ) (n - 5) 47712 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 3 n 14 n 3 n 83904 n ((n - 1) ) (n - 5) 90240 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 54144 n ((n - 1) ) (n - 5) 13824 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n 3 n 19 n 3 n 24 n ((n - 1) ) (n - 5) 456 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 3 n 18 n 3 n 72 n ((n - 1) ) (n - 4) 1080 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 24 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 6840 n ((n - 1) ) (n - 4) 23688 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 48384 n ((n - 1) ) (n - 4) 58176 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 38016 n ((n - 1) ) (n - 4) 10368 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 354 n ((n - 1) ) (n - 3) 912 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1296 n ((n - 1) ) (n - 3) 960 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n 2 n 288 n ((n - 1) ) (n - 3) 1500 n ((n - 1) ) (n - 6) + --------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 6) 15 n 2 n 14 n 2 n 8904 n ((n - 1) ) (n - 6) 33198 n ((n - 1) ) (n - 6) - ----------------------------- + ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n 2 n 12 n 2 n 80616 n ((n - 1) ) (n - 6) 127440 n ((n - 1) ) (n - 6) - ------------------------------ + ------------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n 2 n 10 n 2 n 126336 n ((n - 1) ) (n - 6) 71136 n ((n - 1) ) (n - 6) - ------------------------------- + ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n 2 n 15 n 2 n 17280 n ((n - 1) ) (n - 6) 5580 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 25524 n ((n - 1) ) (n - 5) 71568 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 125856 n ((n - 1) ) (n - 5) 135360 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 81216 n ((n - 1) ) (n - 5) 20736 n ((n - 1) ) (n - 5) - ------------------------------ + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 6 n ((n - 1) ) (n - 6) 144 n ((n - 1) ) (n - 6) + -------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n 2 n 16 n 2 n 36 n ((n - 1) ) (n - 5) 684 n ((n - 1) ) (n - 5) + --------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 42 n ((n - 1) ) (n - 4) 630 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 6 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 3990 n ((n - 1) ) (n - 4) 13818 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 28224 n ((n - 1) ) (n - 4) 33936 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 22176 n ((n - 1) ) (n - 4) 6048 n ((n - 1) ) (n - 4) + ------------------------------ - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 5 n 23 n 5 n 4 n ((n - 1) ) (n - 3) 56 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 11 n 6 5 11 n 6 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 316 n ((n - 1) ) (n - 3) 920 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 11 n 6 5 11 n 6 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 1456 n ((n - 1) ) (n - 3) 1184 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 11 n 6 5 11 n 6 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 21 n 4 n 384 n ((n - 1) ) (n - 3) 272 n ((n - 1) ) (n - 4) - ---------------------------- - ---------------------------- 11 n 6 5 9 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 1936 n ((n - 1) ) (n - 4) 7472 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 9 n 5 5 9 n 5 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 16864 n ((n - 1) ) (n - 4) 22208 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 9 n 5 5 9 n 5 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 15744 n ((n - 1) ) (n - 4) 4608 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 9 n 5 5 9 n 5 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 6 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 108 n ((n - 1) ) (n - 2) 120 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 48 n ((n - 1) ) (n - 2) 12 n (n - 1) (n - 3) + -------------------------- - ------------------------ 6 n 3 3 3 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 10 n n 9 n n 120 n (n - 1) (n - 3) 468 n (n - 1) (n - 3) + ------------------------- - ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 888 n (n - 1) (n - 3) 816 n (n - 1) (n - 3) + ------------------------ - ------------------------ 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 26 n 6 n 16 n 5 288 n (n - 1) (n - 3) 6 n ((n - 1) ) (n - 2) n ((n - 1) ) + ------------------------ + -------------------------- + --------------- 3 n 2 4 16 n 7 2 11 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) (n - 1) (n ) 8 n 7 n 6 n 5 n n (n - 5) 12 n (n - 5) 55 n (n - 5) 120 n (n - 5) + ----------- - -------------- + -------------- - --------------- n 3 n 3 n 3 n 3 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 19 n 4 n 124 n (n - 5) 48 n (n - 5) 324 n ((n - 1) ) (n - 3) + --------------- - -------------- - ---------------------------- n 3 n 3 10 n 5 3 n (n - 5) n (n - 5) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 1152 n ((n - 1) ) (n - 3) 2016 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 1728 n ((n - 1) ) (n - 3) 576 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 16 n 3 n 24 n ((n - 1) ) (n - 4) 1416 n ((n - 1) ) (n - 4) - --------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 3648 n ((n - 1) ) (n - 4) 5184 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 3840 n ((n - 1) ) (n - 4) 1152 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 2 n 288 n ((n - 1) ) (n - 4) 6 n ((n - 1) ) (n - 5) + ---------------------------- + -------------------------- 8 n 4 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 96 n ((n - 1) ) (n - 5) 642 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 2328 n ((n - 1) ) (n - 5) 4944 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 6144 n ((n - 1) ) (n - 5) 4128 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 22 n 5 n 1152 n ((n - 1) ) (n - 5) 12 n ((n - 1) ) (n - 2) - ---------------------------- - --------------------------- 6 n 3 3 11 n 6 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 96 n ((n - 1) ) (n - 2) 276 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 6 4 11 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 336 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 11 n 6 4 11 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 48 n ((n - 1) ) (n - 3) 480 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 1872 n ((n - 1) ) (n - 3) 3552 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 3264 n ((n - 1) ) (n - 3) 1152 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 9 n 5 4 9 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 72 n ((n - 1) ) (n - 4) 936 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 4968 n ((n - 1) ) (n - 4) 13752 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 20880 n ((n - 1) ) (n - 4) 16416 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 16 n 2 n 5184 n ((n - 1) ) (n - 4) 48 n ((n - 1) ) (n - 5) - ----------------------------- + --------------------------- 7 n 4 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 816 n ((n - 1) ) (n - 5) 5808 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 22416 n ((n - 1) ) (n - 5) 50592 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 66624 n ((n - 1) ) (n - 5) 47232 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 14 n n 13824 n ((n - 1) ) (n - 5) 12 n (n - 1) (n - 6) - ----------------------------- - ------------------------ 5 n 3 4 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 6) 13 n n 12 n n 264 n (n - 1) (n - 6) 2472 n (n - 1) (n - 6) + ------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 10 n n 12864 n (n - 1) (n - 6) 40668 n (n - 1) (n - 6) + --------------------------- - --------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 79896 n (n - 1) (n - 6) 95088 n (n - 1) (n - 6) + -------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 62496 n (n - 1) (n - 6) 17280 n (n - 1) (n - 6) + -------------------------- - -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 20 n 4 n 19 n 4 n 6 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 5 5 8 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 330 n ((n - 1) ) (n - 3) 720 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 5 5 8 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 744 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 5 5 8 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 24 n ((n - 1) ) (n - 4) 360 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 2184 n ((n - 1) ) (n - 4) 6840 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 11616 n ((n - 1) ) (n - 4) 10080 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 6 n 4 5 6 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 16 n 2 n 3456 n ((n - 1) ) (n - 4) 36 n ((n - 1) ) (n - 5) - ----------------------------- + --------------------------- 6 n 4 5 4 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 684 n ((n - 1) ) (n - 5) 5436 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 23364 n ((n - 1) ) (n - 5) 58464 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 84816 n ((n - 1) ) (n - 5) 65664 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 14 n n 20736 n ((n - 1) ) (n - 5) 24 n (n - 1) (n - 6) - ----------------------------- - ------------------------ 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 6) 13 n n 12 n n 576 n (n - 1) (n - 6) 5904 n (n - 1) (n - 6) + ------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 10 n n 33696 n (n - 1) (n - 6) 116856 n (n - 1) (n - 6) + --------------------------- - ---------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 251424 n (n - 1) (n - 6) 326496 n (n - 1) (n - 6) + --------------------------- - --------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 232704 n (n - 1) (n - 6) 69120 n (n - 1) (n - 6) + --------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 24 n 8 22 n 5 n 112 n ((n - 1) ) 24 n ((n - 1) ) (n - 2) - ------------------- - --------------------------- 20 n 8 12 n 6 3 (n - 1) (n ) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 168 n ((n - 1) ) (n - 2) 432 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 12 n 6 3 12 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 480 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 12 n 6 3 12 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 17 n 3 n 36 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 5 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 648 n ((n - 1) ) (n - 3) 2304 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 4032 n ((n - 1) ) (n - 3) 3456 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 2 n 1152 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 4) + ----------------------------- + --------------------------- 8 n 4 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 2124 n ((n - 1) ) (n - 4) 5472 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 7776 n ((n - 1) ) (n - 4) 5760 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n 2 n 1728 n ((n - 1) ) (n - 4) 432 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 6 n 24 n 6 n 60 n ((n - 1) ) (n - 2) 234 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 7 4 14 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 6 n 22 n 6 n 444 n ((n - 1) ) (n - 2) 408 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 14 n 7 4 14 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 n 24 n 5 n 144 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 3) - ---------------------------- - --------------------------- 14 n 7 4 12 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 23 n 5 n 22 n 5 n 288 n ((n - 1) ) (n - 3) 1416 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 12 n 6 4 12 n 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 5 n 20 n 5 n 3648 n ((n - 1) ) (n - 3) 5184 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 12 n 6 4 12 n 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 3840 n ((n - 1) ) (n - 3) 1152 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 12 n 6 4 12 n 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 2124 n ((n - 1) ) (n - 3) 5472 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 7776 n ((n - 1) ) (n - 3) 5760 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 22 n 4 n 1728 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 4) + ----------------------------- + --------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 21 n 4 n 17 n 3 n 540 n ((n - 1) ) (n - 4) 2408 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 10 n 5 4 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 16 n 3 n 15 n 3 n 6400 n ((n - 1) ) (n - 5) 10688 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------ 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 10944 n ((n - 1) ) (n - 5) 6272 n ((n - 1) ) (n - 5) - ------------------------------ + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 3 n 20 n 3 n 1536 n ((n - 1) ) (n - 5) 4 n ((n - 1) ) (n - 5) - ----------------------------- - -------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 3 n 18 n 3 n 72 n ((n - 1) ) (n - 5) 556 n ((n - 1) ) (n - 5) + --------------------------- - ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 3 n 18 n 3 n 24 n ((n - 1) ) (n - 4) 336 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 17 n 3 n 1992 n ((n - 1) ) (n - 4) 4 n ((n - 1) ) (n - 2) - ----------------------------- - -------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 36 n ((n - 1) ) (n - 2) 128 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 28 n ((n - 1) ) (n - 3) 308 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1400 n ((n - 1) ) (n - 3) 3360 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 4480 n ((n - 1) ) (n - 3) 3136 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 26 n 6 n 896 n ((n - 1) ) (n - 3) 6 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 9 n 4 3 14 n 7 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 16 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 21 n 4 n 512 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 3) + ---------------------------- + --------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 528 n ((n - 1) ) (n - 3) 2400 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 5760 n ((n - 1) ) (n - 3) 7680 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 5376 n ((n - 1) ) (n - 3) 1536 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 224 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 16 n 3 n 64 n ((n - 1) ) (n - 2) 6480 n ((n - 1) ) (n - 4) + --------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 12480 n ((n - 1) ) (n - 4) 14208 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 8832 n ((n - 1) ) (n - 4) 2304 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 9 n 4 3 9 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 5 n 23 n 5 n 24 n ((n - 1) ) (n - 3) 264 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 1200 n ((n - 1) ) (n - 3) 2880 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 3840 n ((n - 1) ) (n - 3) 2688 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 17 n 4 n 768 n ((n - 1) ) (n - 3) 896 n ((n - 1) ) (n - 2) - ---------------------------- - ---------------------------- 13 n 6 3 11 n 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 768 n ((n - 1) ) (n - 2) 256 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 4320 n ((n - 1) ) (n - 4) 8320 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 9472 n ((n - 1) ) (n - 4) 5888 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 22 n 4 n 1536 n ((n - 1) ) (n - 4) 16 n ((n - 1) ) (n - 4) - ----------------------------- + --------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 4 n 20 n 4 n 224 n ((n - 1) ) (n - 4) 1328 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 11 n 5 3 11 n 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 7 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 224 n ((n - 1) ) (n - 2) 392 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 26 n 6 n 960 n ((n - 1) ) (n - 3) 16 n ((n - 1) ) (n - 2) + ---------------------------- + --------------------------- 12 n 5 2 15 n 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 25 n 6 n 24 n 6 n 144 n ((n - 1) ) (n - 2) 512 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 15 n 7 3 15 n 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 6 n 22 n 6 n 896 n ((n - 1) ) (n - 2) 768 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 15 n 7 3 15 n 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 n 20 n 5 n 256 n ((n - 1) ) (n - 2) 1344 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 15 n 7 3 13 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 1152 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 24 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 13 n 6 3 13 n 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 5 n 25 n 6 n 768 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) - ---------------------------- - --------------------------- 13 n 6 3 16 n 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 6 n 23 n 6 n 192 n ((n - 1) ) (n - 2) 336 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 16 n 7 2 16 n 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 6 n 21 n 6 n 288 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 16 n 7 2 16 n 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 448 n ((n - 1) ) (n - 3) 128 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 5 n 23 n 5 n 4 n ((n - 1) ) (n - 3) 44 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 200 n ((n - 1) ) (n - 3) 480 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 576 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 12 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 384 n ((n - 1) ) (n - 2) 672 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 14 n 6 2 14 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 21 n 4 n 640 n ((n - 1) ) (n - 3) 14 n ((n - 1) ) (n - 4) - ---------------------------- - --------------------------- 14 n 6 2 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 83 n ((n - 1) ) (n - 4) 270 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 672 n ((n - 1) ) (n - 3) 192 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 6 n ((n - 1) ) (n - 3) 66 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 300 n ((n - 1) ) (n - 3) 720 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 520 n ((n - 1) ) (n - 4) 592 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 368 n ((n - 1) ) (n - 4) 96 n ((n - 1) ) (n - 4) + ---------------------------- - --------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 16 n 4 n n ((n - 1) ) (n - 4) 336 n ((n - 1) ) (n - 2) + ------------------------ + ---------------------------- 12 n 5 2 12 n 5 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 15 n 4 n 11 n 10 n 112 n ((n - 1) ) (n - 2) 36 n (n - 6) 864 n (n - 6) - ---------------------------- + --------------- - ---------------- 12 n 5 2 n 5 n 5 (n - 1) (n ) (n - 2) n (n - 6) n (n - 6) 9 n 8 n 7 n 8856 n (n - 6) 50544 n (n - 6) 175284 n (n - 6) + ---------------- - ----------------- + ------------------ n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) 6 n 5 n 4 n 377136 n (n - 6) 489744 n (n - 6) 349056 n (n - 6) - ------------------ + ------------------ - ------------------ n 5 n 5 n 5 n (n - 6) n (n - 6) n (n - 6) 3 n n 5 n 4 n 3 103680 n (n - 6) (n - 2) n 3 (n - 2) n 2 (n - 2) n + ------------------ + ----------- - ------------- + ------------- n 5 3 n 3 n 3 n n (n - 6) (n - 2) n (n - 2) n (n - 2) n 22 n 4 n 18 n 3 n 16 n ((n - 1) ) (n - 4) 408 n ((n - 1) ) (n - 4) + --------------------------- + ---------------------------- 9 n 5 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 2904 n ((n - 1) ) (n - 4) 11208 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 25296 n ((n - 1) ) (n - 4) 33312 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 23616 n ((n - 1) ) (n - 4) 6912 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 504 n ((n - 1) ) (n - 5) 4536 n ((n - 1) ) (n - 5) + ---------------------------- - ----------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n 22824 n ((n - 1) ) (n - 5) 70128 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 3 n 14 n 3 n 134496 n ((n - 1) ) (n - 5) 156864 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 101376 n ((n - 1) ) (n - 5) 27648 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------ 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 3 n 20 n 3 n 24 n ((n - 1) ) (n - 4) 24 n ((n - 1) ) (n - 5) - --------------------------- - --------------------------- 7 n 4 5 7 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 416 n ((n - 1) ) (n - 6) 4704 n ((n - 1) ) (n - 6) - ---------------------------- + ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 15 n 2 n 14 n 2 n 30336 n ((n - 1) ) (n - 6) 122832 n ((n - 1) ) (n - 6) - ------------------------------ + ------------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n 2 n 12 n 2 n 323424 n ((n - 1) ) (n - 6) 552896 n ((n - 1) ) (n - 6) - ------------------------------- + ------------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n 2 n 16 n 3 n 590464 n ((n - 1) ) (n - 6) 24 n ((n - 1) ) (n - 2) - ------------------------------- - --------------------------- 5 n 3 5 8 n 4 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 168 n ((n - 1) ) (n - 2) 432 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 480 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 4 3 8 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 356352 n ((n - 1) ) (n - 6) 92160 n ((n - 1) ) (n - 6) + ------------------------------- - ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 15 n 2 n 14 n 2 n 272 n ((n - 1) ) (n - 4) 1936 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 14 n 2 n 7472 n ((n - 1) ) (n - 4) 42 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 5 n 3 5 6 n 3 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 378 n ((n - 1) ) (n - 3) 1344 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 2352 n ((n - 1) ) (n - 3) 2016 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 3 6 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n 2 n 672 n ((n - 1) ) (n - 3) 16864 n ((n - 1) ) (n - 4) - --------------------------- + ------------------------------ 6 n 3 3 5 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 22208 n ((n - 1) ) (n - 4) 15744 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n 2 n 4608 n ((n - 1) ) (n - 4) 48 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 5 n 3 5 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 480 n ((n - 1) ) (n - 3) 1872 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3552 n ((n - 1) ) (n - 3) 3264 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n 2 n 1152 n ((n - 1) ) (n - 3) 1008 n ((n - 1) ) (n - 5) - ---------------------------- - ----------------------------- 5 n 3 4 5 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 9072 n ((n - 1) ) (n - 5) 45648 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n n 140256 n ((n - 1) ) (n - 5) 84 n (n - 1) (n - 4) + ------------------------------- - ------------------------ 5 n 3 5 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 12 n 2 n 11 n n 268992 n ((n - 1) ) (n - 5) 1092 n (n - 1) (n - 4) - ------------------------------- + -------------------------- 5 n 3 5 3 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 10 n n 9 n n 5796 n (n - 1) (n - 4) 16044 n (n - 1) (n - 4) - -------------------------- + -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 24360 n (n - 1) (n - 4) 19152 n (n - 1) (n - 4) - -------------------------- + -------------------------- 3 n 2 4 3 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 11 n 2 n 6048 n (n - 1) (n - 4) 313728 n ((n - 1) ) (n - 5) - ------------------------- + ------------------------------- 3 n 2 4 5 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 202752 n ((n - 1) ) (n - 5) 55296 n ((n - 1) ) (n - 5) - ------------------------------- + ----------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 2 n 16 n 2 n 16 n ((n - 1) ) (n - 6) 16 n ((n - 1) ) (n - 4) + --------------------------- + --------------------------- 5 n 3 5 5 n 3 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 4) 17 n 2 n 15 n n 48 n ((n - 1) ) (n - 5) 128 n (n - 1) (n - 7) + --------------------------- + ------------------------- 5 n 3 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 7) 14 n n 13 n n 1800 n (n - 1) (n - 7) 14640 n (n - 1) (n - 7) - -------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 12 n n 12 n n 76212 n (n - 1) (n - 7) 24 n (n - 1) (n - 4) - --------------------------- - ------------------------ 3 n 2 5 2 n 2 5 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 4) 11 n n 10 n n 360 n (n - 1) (n - 4) 2184 n (n - 1) (n - 4) + ------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 6840 n (n - 1) (n - 4) 11616 n (n - 1) (n - 4) + ------------------------- - -------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 10080 n (n - 1) (n - 4) 3456 n (n - 1) (n - 4) + -------------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 265104 n (n - 1) (n - 7) 623360 n (n - 1) (n - 7) + ---------------------------- - ---------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 9 n n 8 n n 976960 n (n - 1) (n - 7) 974784 n (n - 1) (n - 7) + --------------------------- - --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 15 n n 14 n n 12 n (n - 1) (n - 6) 348 n (n - 1) (n - 6) - ------------------------ + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n n 12 n n 4392 n (n - 1) (n - 6) 31608 n (n - 1) (n - 6) - -------------------------- + --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 10 n n 142668 n (n - 1) (n - 6) 417852 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 791808 n (n - 1) (n - 6) 932592 n (n - 1) (n - 6) - --------------------------- + --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 616320 n (n - 1) (n - 6) 172800 n (n - 1) (n - 6) - --------------------------- + --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 16 n n 15 n n 4 n (n - 1) (n - 7) 140 n (n - 1) (n - 7) - ----------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 14 n n 13 n n 2160 n (n - 1) (n - 7) 19320 n (n - 1) (n - 7) - -------------------------- + --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 12 n n 11 n n 110772 n (n - 1) (n - 7) 424620 n (n - 1) (n - 7) - ---------------------------- + ---------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 10 n n 9 n n 1099640 n (n - 1) (n - 7) 1894480 n (n - 1) (n - 7) - ----------------------------- + ---------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 8 n n 7 n n 2070624 n (n - 1) (n - 7) 1290240 n (n - 1) (n - 7) - ---------------------------- + ---------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 6 n n 14 n n 345600 n (n - 1) (n - 7) 4 n (n - 1) (n - 5) - --------------------------- - ----------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 5) 13 n n 12 n n 96 n (n - 1) (n - 5) 984 n (n - 1) (n - 5) + ------------------------ - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 5616 n (n - 1) (n - 5) 19476 n (n - 1) (n - 5) + -------------------------- - --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 41904 n (n - 1) (n - 5) 54416 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 7 n 38784 n (n - 1) (n - 5) 11520 n (n - 1) (n - 5) 7 n (n - 3) + -------------------------- - -------------------------- + ------------- 2 n 2 6 2 n 2 6 n 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) n (n - 3) 6 n 5 n 4 n 3 n 56 n (n - 3) 161 n (n - 3) 196 n (n - 3) 84 n (n - 3) - -------------- + --------------- - --------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 10 n 9 n 8 n 7 n 42 n (n - 5) 798 n (n - 5) 6342 n (n - 5) 27258 n (n - 5) + --------------- - --------------- + ---------------- - ----------------- n 5 n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 68208 n (n - 5) 98952 n (n - 5) 76608 n (n - 5) + ----------------- - ----------------- + ----------------- n 5 n 5 n 5 n (n - 5) n (n - 5) n (n - 5) 3 n 9 n 8 n 7 n 24192 n (n - 5) 6 n (n - 4) 90 n (n - 4) 546 n (n - 4) - ----------------- + ------------- - -------------- + --------------- n 5 n 5 n 5 n 5 n (n - 5) n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 3 n 1710 n (n - 4) 2904 n (n - 4) 2520 n (n - 4) 864 n (n - 4) - ---------------- + ---------------- - ---------------- + --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 17 n 3 n 16 n 3 n 72 n ((n - 1) ) (n - 3) 720 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 2808 n ((n - 1) ) (n - 3) 5328 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 4896 n ((n - 1) ) (n - 3) 1728 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 7 n 4 4 7 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 144 n ((n - 1) ) (n - 4) 1872 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 9936 n ((n - 1) ) (n - 4) 27504 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 41760 n ((n - 1) ) (n - 4) 32832 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 5 n 3 4 5 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 6 n 5 n 10368 n ((n - 1) ) (n - 4) 7 n (n - 3) 35 n (n - 3) + ----------------------------- + ------------- - -------------- 5 n 3 4 n 3 n 3 (n - 1) (n ) (n - 4) n (n - 3) n (n - 3) 4 n 3 n 14 n 3 n 56 n (n - 3) 28 n (n - 3) 4 n ((n - 1) ) (n - 2) + -------------- - -------------- - -------------------------- n 3 n 3 6 n 4 3 n (n - 3) n (n - 3) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 12 n ((n - 1) ) (n - 2) 8 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 6 n 4 3 6 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6 n ((n - 1) ) (n - 3) 30 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 48 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 4 n (n - 1) (n - 4) 32 n (n - 1) (n - 4) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 92 n (n - 1) (n - 4) 112 n (n - 1) (n - 4) - ----------------------- + ------------------------ 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 12 n 11 n 48 n (n - 1) (n - 4) 785 n (n - 8) 8610 n (n - 8) - ----------------------- + ---------------- - ----------------- 2 n 2 3 n 6 n 6 (n - 1) (n ) (n - 4) n (n - 8) n (n - 8) 10 n 9 n 8 n 61503 n (n - 8) 300006 n (n - 8) 1017995 n (n - 8) + ------------------ - ------------------ + ------------------- n 6 n 6 n 6 n (n - 8) n (n - 8) n (n - 8) 7 n 6 n 5 n 2397990 n (n - 8) 3832996 n (n - 8) 3946152 n (n - 8) - ------------------- + ------------------- - ------------------- n 6 n 6 n 6 n (n - 8) n (n - 8) n (n - 8) 4 n 3 n 14 n 2344320 n (n - 8) 604800 n (n - 8) n (n - 8) + ------------------- - ------------------ + ------------ n 6 n 6 n 6 n (n - 8) n (n - 8) n (n - 8) 13 n 12 n 11 n 10 n 42 n (n - 8) 7 n (n - 6) 203 n (n - 6) 2562 n (n - 6) - --------------- + -------------- - ---------------- + ----------------- n 6 n 6 n 6 n 6 n (n - 8) n (n - 6) n (n - 6) n (n - 6) 9 n 8 n 7 n 18438 n (n - 6) 83223 n (n - 6) 243747 n (n - 6) - ----------------- + ----------------- - ------------------ n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 6 n 5 n 4 n 461888 n (n - 6) 544012 n (n - 6) 359520 n (n - 6) + ------------------ - ------------------ + ------------------ n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 3 n 13 n 12 n 100800 n (n - 6) 6 n (n - 7) 210 n (n - 7) - ------------------ + -------------- - ---------------- n 6 n 6 n 6 n (n - 6) n (n - 7) n (n - 7) 11 n 2 n 10 n 2 n 6 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 3 4 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 9 n n 12 n ((n - 1) ) (n - 2) 12 n (n - 1) (n - 3) + -------------------------- - ----------------------- 4 n 3 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 8 n n 7 n n 60 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 7 n 6 n 48 n (n - 1) (n - 3) 6 n (n - 4) 48 n (n - 4) + ----------------------- + ------------- - -------------- 2 n 2 3 n 3 n 3 (n - 1) (n ) (n - 3) n (n - 4) n (n - 4) 5 n 4 n 3 n 11 n 138 n (n - 4) 168 n (n - 4) 72 n (n - 4) 3240 n (n - 7) + --------------- - --------------- + -------------- + ----------------- n 3 n 3 n 3 n 6 n (n - 4) n (n - 4) n (n - 4) n (n - 7) 10 n 9 n 8 n 28980 n (n - 7) 166158 n (n - 7) 636930 n (n - 7) - ------------------ + ------------------ - ------------------ n 6 n 6 n 6 n (n - 7) n (n - 7) n (n - 7) 7 n 6 n 5 n 1649460 n (n - 7) 2841720 n (n - 7) 3105936 n (n - 7) + ------------------- - ------------------- + ------------------- n 6 n 6 n 6 n (n - 7) n (n - 7) n (n - 7) 4 n 3 n 11 n 1935360 n (n - 7) 518400 n (n - 7) n (n - 5) - ------------------- + ------------------ + ------------ n 6 n 6 n 6 n (n - 7) n (n - 7) n (n - 5) 10 n 9 n 8 n 7 n 24 n (n - 5) 246 n (n - 5) 1404 n (n - 5) 4869 n (n - 5) - --------------- + --------------- - ---------------- + ---------------- n 6 n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 10476 n (n - 5) 13604 n (n - 5) 9696 n (n - 5) - ----------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 3 n 8 n 7 n 6 n 2880 n (n - 5) 49 n (n - 4) 539 n (n - 4) 2303 n (n - 4) + ---------------- + -------------- - --------------- + ---------------- n 6 n 4 n 4 n 4 n (n - 5) n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 4753 n (n - 4) 4704 n (n - 4) 1764 n (n - 4) - ---------------- + ---------------- - ---------------- n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) 18 n 6 7 n n 16 n ((n - 1) ) 557568 n (n - 1) (n - 7) - ------------------ + --------------------------- 14 n 6 3 n 2 5 (n - 1) (n ) (n - 1) (n ) (n - 7) 6 n n 14 n n 138240 n (n - 1) (n - 7) 624 n (n - 1) (n - 6) - --------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 6) 13 n n 12 n n 7056 n (n - 1) (n - 6) 45504 n (n - 1) (n - 6) - -------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 10 n n 184248 n (n - 1) (n - 6) 485136 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 829344 n (n - 1) (n - 6) 885696 n (n - 1) (n - 6) - --------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 534528 n (n - 1) (n - 6) 138240 n (n - 1) (n - 6) - --------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n n 11 n n 68 n (n - 1) (n - 4) 484 n (n - 1) (n - 4) + ------------------------ - ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 1868 n (n - 1) (n - 4) 4216 n (n - 1) (n - 4) + -------------------------- - ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 5552 n (n - 1) (n - 4) 3936 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 13 n n 1152 n (n - 1) (n - 4) 588 n (n - 1) (n - 5) + ------------------------- + ------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 12 n n 11 n n 5292 n (n - 1) (n - 5) 26628 n (n - 1) (n - 5) - -------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 81816 n (n - 1) (n - 5) 156912 n (n - 1) (n - 5) - --------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 183008 n (n - 1) (n - 5) 118272 n (n - 1) (n - 5) - --------------------------- + --------------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 32256 n (n - 1) (n - 5) 4 n (n - 1) (n - 7) - -------------------------- - ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 7) 15 n n 13 n n 24 n (n - 1) (n - 6) 4 n (n - 1) (n - 4) - ------------------------ - ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 4) 14 n n 20 n 6 19 n 6 28 n (n - 1) (n - 5) 4 n ((n - 1) ) 16 n ((n - 1) ) - ------------------------ - ----------------- + ------------------ 3 n 2 5 14 n 6 14 n 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 1) (n ) 10 n 9 n 8 n 7 n 7 n (n - 6) 140 n (n - 6) 1162 n (n - 6) 5180 n (n - 6) + -------------- - --------------- + ---------------- - ---------------- n 4 n 4 n 4 n 4 n (n - 6) n (n - 6) n (n - 6) n (n - 6) 22 n 4 n 21 n 4 n n ((n - 1) ) (n - 4) 20 n ((n - 1) ) (n - 4) + ------------------------ - --------------------------- 8 n 5 6 8 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 166 n ((n - 1) ) (n - 4) 740 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 8 n 5 6 8 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 1909 n ((n - 1) ) (n - 4) 2840 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 5 6 8 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 2244 n ((n - 1) ) (n - 4) 720 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 8 n 5 6 8 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 4 n ((n - 1) ) (n - 5) 96 n ((n - 1) ) (n - 5) - -------------------------- + --------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 3 n 17 n 3 n 984 n ((n - 1) ) (n - 5) 5616 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 3 n 15 n 3 n 19476 n ((n - 1) ) (n - 5) 41904 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 54416 n ((n - 1) ) (n - 5) 38784 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 3 n 28 n 8 27 n 8 11520 n ((n - 1) ) (n - 5) 7 n ((n - 1) ) 56 n ((n - 1) ) - ------------------------------ - ----------------- + ------------------ 6 n 4 6 20 n 8 20 n 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 1) (n ) 26 n 8 25 n 8 25 n 7 168 n ((n - 1) ) 224 n ((n - 1) ) 6 n ((n - 1) ) - ------------------- + ------------------- + ----------------- 20 n 8 20 n 8 18 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 24 n 7 23 n 7 22 n 7 48 n ((n - 1) ) 144 n ((n - 1) ) 192 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 18 n 7 18 n 7 18 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 21 n 7 18 n 6 22 n 6 96 n ((n - 1) ) 64 n ((n - 1) ) 4 n ((n - 1) ) + ------------------ - ------------------ - ----------------- 18 n 7 16 n 6 16 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 21 n 6 20 n 6 19 n 6 32 n ((n - 1) ) 96 n ((n - 1) ) 128 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 16 n 6 16 n 6 16 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 15 n 5 19 n 5 18 n 5 16 n ((n - 1) ) n ((n - 1) ) 8 n ((n - 1) ) + ------------------ + --------------- - ----------------- 14 n 5 14 n 5 14 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 9 n 24 n ((n - 1) ) 32 n ((n - 1) ) 42 n (n - 5) + ------------------ - ------------------ + -------------- 14 n 5 14 n 5 n 4 (n - 1) (n ) (n - 1) (n ) n (n - 5) 8 n 7 n 6 n 630 n (n - 5) 3822 n (n - 5) 11970 n (n - 5) - --------------- + ---------------- - ----------------- n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) 5 n 4 n 3 n 20328 n (n - 5) 17640 n (n - 5) 6048 n (n - 5) + ----------------- - ----------------- + ---------------- n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) 18 n 2 n 17 n 2 n 6 n ((n - 1) ) (n - 6) 174 n ((n - 1) ) (n - 6) + -------------------------- - ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 16 n 2 n 15 n 2 n 2196 n ((n - 1) ) (n - 6) 15804 n ((n - 1) ) (n - 6) + ----------------------------- - ------------------------------ 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n 2 n 13 n 2 n 71334 n ((n - 1) ) (n - 6) 208926 n ((n - 1) ) (n - 6) + ------------------------------ - ------------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n 2 n 11 n 2 n 395904 n ((n - 1) ) (n - 6) 466296 n ((n - 1) ) (n - 6) + ------------------------------- - ------------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n 2 n 9 n 2 n 308160 n ((n - 1) ) (n - 6) 86400 n ((n - 1) ) (n - 6) + ------------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n 2 n 16 n 2 n 6 n ((n - 1) ) (n - 5) 144 n ((n - 1) ) (n - 5) + -------------------------- - ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 1476 n ((n - 1) ) (n - 5) 8424 n ((n - 1) ) (n - 5) + ----------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 29214 n ((n - 1) ) (n - 5) 62856 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 81624 n ((n - 1) ) (n - 5) 58176 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 11 n 2 n 17280 n ((n - 1) ) (n - 5) 864 n ((n - 1) ) (n - 3) + ----------------------------- + ---------------------------- 4 n 3 6 5 n 3 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 960 n ((n - 1) ) (n - 3) 384 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 5 n 3 3 5 n 3 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 24 n (n - 1) (n - 4) 240 n (n - 1) (n - 4) - ------------------------ + ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 936 n (n - 1) (n - 4) 1776 n (n - 1) (n - 4) - ------------------------ + ------------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1632 n (n - 1) (n - 4) 576 n (n - 1) (n - 4) - ------------------------- + ------------------------ 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 42 n ((n - 1) ) (n - 3) 336 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 966 n ((n - 1) ) (n - 3) 1176 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 504 n ((n - 1) ) (n - 3) 84 n (n - 1) (n - 4) + --------------------------- - ------------------------ 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 924 n (n - 1) (n - 4) 3948 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 8148 n (n - 1) (n - 4) 8064 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 21 n 4 n 3024 n (n - 1) (n - 4) 36 n ((n - 1) ) (n - 3) + ------------------------- + --------------------------- 2 n 2 4 10 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 36 n ((n - 1) ) (n - 2) 252 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 648 n ((n - 1) ) (n - 2) 720 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 5 3 10 n 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 7 288 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) + ---------------------------- - ------------------ 10 n 5 3 17 n 7 (n - 1) (n ) (n - 2) (n - 1) (n ) 6 n n 7 n n 8 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 3 2 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 9 n n 4 n (n - 1) (n - 2) 4 n (n - 1) (n - 2) - ----------------------- - ----------------------- 2 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 20 n (n - 1) (n - 2) 32 n (n - 1) (n - 2) + ----------------------- - ----------------------- 3 n 2 3 3 n 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 6 n 5 n 16 n (n - 1) (n - 2) 13363 n (n - 6) 19880 n (n - 6) + ----------------------- + ----------------- - ----------------- 3 n 2 3 n 4 n 4 (n - 1) (n ) (n - 2) n (n - 6) n (n - 6) 4 n 3 n 15 n 5 15708 n (n - 6) 5040 n (n - 6) 2 n ((n - 1) ) + ----------------- - ---------------- - ----------------- n 4 n 4 11 n 5 n (n - 6) n (n - 6) (n - 1) (n ) 16 n 3 n 15 n 3 n 1416 n ((n - 1) ) (n - 3) 3648 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 20 n 4 n 432 n ((n - 1) ) (n - 3) 3420 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 11844 n ((n - 1) ) (n - 4) 24192 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 29088 n ((n - 1) ) (n - 4) 19008 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 15 n 3 n 5184 n ((n - 1) ) (n - 4) 24 n ((n - 1) ) (n - 2) - ----------------------------- - --------------------------- 10 n 5 4 7 n 4 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 120 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 7 n 4 3 7 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n 2 n 96 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 3) + --------------------------- + --------------------------- 7 n 4 3 5 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n 2 n 336 n ((n - 1) ) (n - 3) - ---------------------------- 5 n 3 3 (n - 1) (n ) (n - 3) and in Maple notation -28*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4+420*n^11*(n-1)^n/(n-1)^2/(n^n) ^2*(n-5)^n/(n-5)^4-2548*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4+7980*n^9*( n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4-13552*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^ n/(n-5)^4+11760*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^4-4032*n^6*(n-1)^n/(n -1)^2/(n^n)^2*(n-5)^n/(n-5)^4+7*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^ 4-42*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4+77*n^16*((n-1)^n)^4/(n-1) ^8/(n^n)^5*(n-2)^n/(n-2)^4-42*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^4-\ 28*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4+224*n^15*((n-1)^n)^3/(n-1)^ 6/(n^n)^4*(n-3)^n/(n-3)^4-644*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4+ 784*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^4-336*n^12*((n-1)^n)^3/(n-1) ^6/(n^n)^4*(n-3)^n/(n-3)^4+42*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4-\ 462*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4+1974*n^12*((n-1)^n)^2/(n-1 )^4/(n^n)^3*(n-4)^n/(n-4)^4-4074*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4) ^4+4032*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4-1512*n^9*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-4)^n/(n-4)^4-24*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3 )^3+168*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3-432*n^14*((n-1)^n)^3/( n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3+480*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-\ 3)^3-192*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^3+16*n^14*((n-1)^n)^2/( n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-160*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-\ 4)^3+624*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-1184*n^11*((n-1)^n)^2 /(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3+1088*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/ (n-4)^3-384*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^3-4*n^12*(n-1)^n/(n-1 )^3/(n^n)^2*(n-5)^n/(n-5)^3+56*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3-316 *n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3+920*n^9*(n-1)^n/(n-1)^3/(n^n)^2*( n-5)^n/(n-5)^3-1456*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3+1184*n^7*(n-1)^ n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^3-384*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5) ^3+16*n^18*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^3-80*n^17*((n-1)^n)^4/(n-1 )^9/(n^n)^5*(n-2)^n/(n-2)^3+128*n^16*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^ 3-64*n^15*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-2)^n/(n-2)^3+6*n^24*((n-1)^n)^7/(n-1)^ 17/(n^n)^7-36*n^23*((n-1)^n)^7/(n-1)^17/(n^n)^7+72*n^22*((n-1)^n)^7/(n-1)^17/(n ^n)^7+6/(n^n)*n^12*(n-7)^n/(n-7)^5-180/(n^n)*n^11*(n-7)^n/(n-7)^5+2340/(n^n)*n^ 10*(n-7)^n/(n-7)^5-17280/(n^n)*n^9*(n-7)^n/(n-7)^5+79758/(n^n)*n^8*(n-7)^n/(n-7 )^5-238140/(n^n)*n^7*(n-7)^n/(n-7)^5+458760/(n^n)*n^6*(n-7)^n/(n-7)^5-547920/(n ^n)*n^5*(n-7)^n/(n-7)^5+366336/(n^n)*n^4*(n-7)^n/(n-7)^5-103680/(n^n)*n^3*(n-7) ^n/(n-7)^5-72*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+1224*n^12*(n-1)^n/(n -1)^3/(n^n)^2*(n-5)^n/(n-5)^4-8712*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4 +33624*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-75888*n^9*(n-1)^n/(n-1)^3/( n^n)^2*(n-5)^n/(n-5)^4+99936*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4-70848* n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^4+20736*n^6*(n-1)^n/(n-1)^3/(n^n)^2*( n-5)^n/(n-5)^4+36*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-540*n^14*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5+3276*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3* (n-4)^n/(n-4)^5-10260*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5+17424*n^ 11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-15120*n^10*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-4)^n/(n-4)^5+5184*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^5-72* n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+1368*n^12*(n-1)^n/(n-1)^2/(n^n)^2* (n-5)^n/(n-5)^5-10872*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+46728*n^10*( n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-116928*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5) ^n/(n-5)^5+169632*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5-131328*n^7*(n-1)^ n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^5+41472*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-\ 5)^5+196*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-504*n^8*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^3+560*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-224*n^6*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-28*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/ (n-3)^4+224*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-644*n^8*(n-1)^n/(n-1)^2 /(n^n)^2*(n-3)^n/(n-3)^4+784*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-336*n^ 6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+16*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*( n-2)^n/(n-2)^3-80*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3+128*n^10*((n -1)^n)^2/(n-1)^5/(n^n)^3*(n-2)^n/(n-2)^3-64*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-\ 2)^n/(n-2)^3-28*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^3-5184*n^14*((n-1)^n )^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+3840*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3) ^n/(n-3)^4-1152*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-3720*n^18*((n-\ 1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^4+17016*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4* (n-5)^n/(n-5)^4-47712*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^4+83904*n^ 15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^4-90240*n^14*((n-1)^n)^3/(n-1)^8/( n^n)^4*(n-5)^n/(n-5)^4+54144*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^4-\ 13824*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^4-24*n^20*((n-1)^n)^3/(n-1 )^8/(n^n)^4*(n-5)^n/(n-5)^4+456*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^ 4-72*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4+1080*n^18*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-4)^n/(n-4)^4-24*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^ 4+288*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-6840*n^17*((n-1)^n)^3/(n -1)^8/(n^n)^4*(n-4)^n/(n-4)^4+23688*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n -4)^4-48384*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4+58176*n^14*((n-1)^ n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4-38016*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-\ 4)^n/(n-4)^4+10368*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^4+354*n^13*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-912*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-3)^n/(n-3)^4+1296*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-960*n^10* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+288*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-3)^n/(n-3)^4+1500*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^4-8904*n^ 15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^4+33198*n^14*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-6)^n/(n-6)^4-80616*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^4+ 127440*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^4-126336*n^11*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^4+71136*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n /(n-6)^4-17280*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^4+5580*n^15*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4-25524*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -5)^n/(n-5)^4+71568*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4-125856*n^ 12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4+135360*n^11*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-5)^n/(n-5)^4-81216*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4+ 20736*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4+6*n^18*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-6)^n/(n-6)^4-144*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^4+ 36*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^4-684*n^16*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-5)^n/(n-5)^4+42*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-\ 630*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+6*n^15*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-3)^n/(n-3)^4-72*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+ 3990*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-13818*n^13*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-4)^n/(n-4)^4+28224*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n -4)^4-33936*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+22176*n^10*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-6048*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4) ^n/(n-4)^4-4*n^24*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-3)^n/(n-3)^5+56*n^23*((n-1)^n )^5/(n-1)^11/(n^n)^6*(n-3)^n/(n-3)^5-316*n^22*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-3 )^n/(n-3)^5+920*n^21*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-3)^n/(n-3)^5-1456*n^20*((n -1)^n)^5/(n-1)^11/(n^n)^6*(n-3)^n/(n-3)^5+1184*n^19*((n-1)^n)^5/(n-1)^11/(n^n)^ 6*(n-3)^n/(n-3)^5-384*n^18*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-3)^n/(n-3)^5-272*n^ 21*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-4)^n/(n-4)^5+1936*n^20*((n-1)^n)^4/(n-1)^9/(n ^n)^5*(n-4)^n/(n-4)^5-7472*n^19*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-4)^n/(n-4)^5+ 16864*n^18*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-4)^n/(n-4)^5-22208*n^17*((n-1)^n)^4/( n-1)^9/(n^n)^5*(n-4)^n/(n-4)^5+15744*n^16*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-4)^n/( n-4)^5-4608*n^15*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-4)^n/(n-4)^5+6*n^13*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-42*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n -2)^3+108*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3-120*n^10*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^3+48*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-\ 2)^3-12*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+120*n^10*(n-1)^n/(n-1)^3/( n^n)^2*(n-3)^n/(n-3)^4-468*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+888*n^8* (n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4-816*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n /(n-3)^4+288*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^4+6*n^26*((n-1)^n)^6/(n-\ 1)^16/(n^n)^7*(n-2)^n/(n-2)^2+n^16*((n-1)^n)^5/(n-1)^11/(n^n)^5+1/(n^n)*n^8*(n-\ 5)^n/(n-5)^3-12/(n^n)*n^7*(n-5)^n/(n-5)^3+55/(n^n)*n^6*(n-5)^n/(n-5)^3-120/(n^n )*n^5*(n-5)^n/(n-5)^3+124/(n^n)*n^4*(n-5)^n/(n-5)^3-48/(n^n)*n^3*(n-5)^n/(n-5)^ 3-324*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3+1152*n^18*((n-1)^n)^4/( n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3-2016*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/ (n-3)^3+1728*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3-576*n^15*((n-1)^ n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^3-24*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4) ^n/(n-4)^3-1416*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3+3648*n^15*((n-\ 1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3-5184*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*( n-4)^n/(n-4)^3+3840*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3-1152*n^12* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^3+288*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^ 4*(n-4)^n/(n-4)^3+6*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3-96*n^15*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3+642*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-5)^n/(n-5)^3-2328*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3+4944*n^12 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3-6144*n^11*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-5)^n/(n-5)^3+4128*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3-1152* n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^3-12*n^22*((n-1)^n)^5/(n-1)^11/(n ^n)^6*(n-2)^n/(n-2)^4+96*n^21*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-2)^n/(n-2)^4-276* n^20*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-2)^n/(n-2)^4+336*n^19*((n-1)^n)^5/(n-1)^11 /(n^n)^6*(n-2)^n/(n-2)^4-144*n^18*((n-1)^n)^5/(n-1)^11/(n^n)^6*(n-2)^n/(n-2)^4+ 48*n^20*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^4-480*n^19*((n-1)^n)^4/(n-1)^ 9/(n^n)^5*(n-3)^n/(n-3)^4+1872*n^18*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^4 -3552*n^17*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-3)^n/(n-3)^4+3264*n^16*((n-1)^n)^4/(n 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264*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4-2472*n^12*(n-1)^n/(n-1)^3/(n^n )^2*(n-6)^n/(n-6)^4+12864*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4-40668*n^ 10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4+79896*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n -6)^n/(n-6)^4-95088*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4+62496*n^7*(n-1) ^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^4-17280*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n -6)^4+6*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^5-72*n^19*((n-1)^n)^4/(n -1)^8/(n^n)^5*(n-3)^n/(n-3)^5+330*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3 )^5-720*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^5+744*n^16*((n-1)^n)^4/( n-1)^8/(n^n)^5*(n-3)^n/(n-3)^5-288*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-\ 3)^5-24*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5+360*n^17*((n-1)^n)^3/( n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5-2184*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n -4)^5+6840*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^5-11616*n^14*((n-1)^n 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n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^3-5376*n^16*((n-1)^n)^4/(n-1)^11/(n^n) ^5*(n-3)^n/(n-3)^3+1536*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^3+224*n ^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3-192*n^13*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-2)^n/(n-2)^3+64*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^3+6480* n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3-12480*n^15*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-4)^n/(n-4)^3+14208*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3 -8832*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^3+2304*n^12*((n-1)^n)^3/(n -1)^9/(n^n)^4*(n-4)^n/(n-4)^3-24*n^24*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3 )^3+264*n^23*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^3-1200*n^22*((n-1)^n)^5 /(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^3+2880*n^21*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^ n/(n-3)^3-3840*n^20*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^3+2688*n^19*((n-\ 1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^3-768*n^18*((n-1)^n)^5/(n-1)^13/(n^n)^6* 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12/(n^n)^5*(n-3)^n/(n-3)^2+300*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^ 2-720*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^2+520*n^18*((n-1)^n)^4/(n -1)^12/(n^n)^5*(n-4)^n/(n-4)^2-592*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n -4)^2+368*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^2-96*n^15*((n-1)^n)^4 /(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^2+n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-\ 4)^2+336*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2-112*n^15*((n-1)^n)^4 /(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2+36/(n^n)*n^11*(n-6)^n/(n-6)^5-864/(n^n)*n^10* (n-6)^n/(n-6)^5+8856/(n^n)*n^9*(n-6)^n/(n-6)^5-50544/(n^n)*n^8*(n-6)^n/(n-6)^5+ 175284/(n^n)*n^7*(n-6)^n/(n-6)^5-377136/(n^n)*n^6*(n-6)^n/(n-6)^5+489744/(n^n)* n^5*(n-6)^n/(n-6)^5-349056/(n^n)*n^4*(n-6)^n/(n-6)^5+103680/(n^n)*n^3*(n-6)^n/( n-6)^5+(n-2)^n/(n-2)^3/(n^n)*n^5-3*(n-2)^n/(n-2)^3/(n^n)*n^4+2*(n-2)^n/(n-2)^3/ (n^n)*n^3+16*n^22*((n-1)^n)^4/(n-1)^9/(n^n)^5*(n-4)^n/(n-4)^5+408*n^18*((n-1)^n )^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5-2904*n^17*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4) ^n/(n-4)^5+11208*n^16*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5-25296*n^15*(( n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5+33312*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^ 4*(n-4)^n/(n-4)^5-23616*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5+6912*n ^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5+504*n^19*((n-1)^n)^3/(n-1)^7/(n ^n)^4*(n-5)^n/(n-5)^5-4536*n^18*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-5)^n/(n-5)^5+ 22824*n^17*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-5)^n/(n-5)^5-70128*n^16*((n-1)^n)^3/( n-1)^7/(n^n)^4*(n-5)^n/(n-5)^5+134496*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-5)^n/ (n-5)^5-156864*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-5)^n/(n-5)^5+101376*n^13*((n -1)^n)^3/(n-1)^7/(n^n)^4*(n-5)^n/(n-5)^5-27648*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4 *(n-5)^n/(n-5)^5-24*n^19*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-4)^n/(n-4)^5-24*n^20*(( n-1)^n)^3/(n-1)^7/(n^n)^4*(n-5)^n/(n-5)^5-416*n^17*((n-1)^n)^2/(n-1)^5/(n^n)^3* (n-6)^n/(n-6)^5+4704*n^16*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-6)^n/(n-6)^5-30336*n^ 15*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-6)^n/(n-6)^5+122832*n^14*((n-1)^n)^2/(n-1)^5/ (n^n)^3*(n-6)^n/(n-6)^5-323424*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-6)^n/(n-6)^5 +552896*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-6)^n/(n-6)^5-590464*n^11*((n-1)^n)^ 2/(n-1)^5/(n^n)^3*(n-6)^n/(n-6)^5-24*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/( n-2)^3+168*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3-432*n^14*((n-1)^n)^ 3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+480*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/ (n-2)^3-192*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^3+356352*n^10*((n-1) ^n)^2/(n-1)^5/(n^n)^3*(n-6)^n/(n-6)^5-92160*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-\ 6)^n/(n-6)^5-272*n^15*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+1936*n^14*((n -1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5-7472*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3* (n-4)^n/(n-4)^5+42*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-378*n^13*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+1344*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-3)^n/(n-3)^3-2352*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3+2016*n^ 10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^3-672*n^9*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-3)^n/(n-3)^3+16864*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5-\ 22208*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+15744*n^10*((n-1)^n)^2/( n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5-4608*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-\ 4)^5+48*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-480*n^13*((n-1)^n)^2/( n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+1872*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n -3)^4-3552*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4+3264*n^10*((n-1)^n) ^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^4-1152*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n /(n-3)^4-1008*n^16*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5+9072*n^15*((n-1) ^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5-45648*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n -5)^n/(n-5)^5+140256*n^13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5-84*n^12*( n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-268992*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3* (n-5)^n/(n-5)^5+1092*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4-5796*n^10*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+16044*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/ (n-4)^4-24360*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+19152*n^7*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^4-6048*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^4+ 313728*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5-202752*n^10*((n-1)^n)^2 /(n-1)^5/(n^n)^3*(n-5)^n/(n-5)^5+55296*n^9*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/ (n-5)^5+16*n^18*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-6)^n/(n-6)^5+16*n^16*((n-1)^n)^2 /(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^5+48*n^17*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-5)^n/(n -5)^5+128*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5-1800*n^14*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-7)^n/(n-7)^5+14640*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5-\ 76212*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5-24*n^12*(n-1)^n/(n-1)^2/(n^n )^2*(n-4)^n/(n-4)^5+360*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-2184*n^10* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+6840*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^ n/(n-4)^5-11616*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+10080*n^7*(n-1)^n/( n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-3456*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5 +265104*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5-623360*n^10*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-7)^n/(n-7)^5+976960*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5-\ 974784*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5-12*n^15*(n-1)^n/(n-1)^2/(n^n )^2*(n-6)^n/(n-6)^6+348*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6-4392*n^13* (n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6+31608*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6 )^n/(n-6)^6-142668*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6+417852*n^10*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6-791808*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n /(n-6)^6+932592*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6-616320*n^7*(n-1)^n/ (n-1)^2/(n^n)^2*(n-6)^n/(n-6)^6+172800*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6 )^6-4*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^6+140*n^15*(n-1)^n/(n-1)^2/(n^ n)^2*(n-7)^n/(n-7)^6-2160*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^6+19320*n^ 13*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^6-110772*n^12*(n-1)^n/(n-1)^2/(n^n)^2* (n-7)^n/(n-7)^6+424620*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^6-1099640*n^ 10*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^6+1894480*n^9*(n-1)^n/(n-1)^2/(n^n)^2* (n-7)^n/(n-7)^6-2070624*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^6+1290240*n^7 *(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^6-345600*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 7)^n/(n-7)^6-4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+96*n^13*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-5)^n/(n-5)^6-984*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+ 5616*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-19476*n^10*(n-1)^n/(n-1)^2/(n 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1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+5328*n^14*((n-1)^n)^3/(n-1)^7/(n^n)^4*( n-3)^n/(n-3)^4-4896*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+1728*n^12* ((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-3)^n/(n-3)^4+144*n^15*((n-1)^n)^2/(n-1)^5/(n^n)^ 3*(n-4)^n/(n-4)^4-1872*n^14*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+9936*n^ 13*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-27504*n^12*((n-1)^n)^2/(n-1)^5/( n^n)^3*(n-4)^n/(n-4)^4+41760*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4-\ 32832*n^10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-4)^n/(n-4)^4+10368*n^9*((n-1)^n)^2/(n -1)^5/(n^n)^3*(n-4)^n/(n-4)^4+7/(n^n)*n^6*(n-3)^n/(n-3)^3-35/(n^n)*n^5*(n-3)^n/ (n-3)^3+56/(n^n)*n^4*(n-3)^n/(n-3)^3-28/(n^n)*n^3*(n-3)^n/(n-3)^3-4*n^14*((n-1) ^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3+12*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2) ^n/(n-2)^3-8*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^3+6*n^12*((n-1)^n)^ 2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-30*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/( n-3)^3+48*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-24*n^9*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-3)^n/(n-3)^3-4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3+ 32*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3-92*n^8*(n-1)^n/(n-1)^2/(n^n)^2*( n-4)^n/(n-4)^3+112*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3-48*n^6*(n-1)^n/( n-1)^2/(n^n)^2*(n-4)^n/(n-4)^3+785/(n^n)*n^12*(n-8)^n/(n-8)^6-8610/(n^n)*n^11*( n-8)^n/(n-8)^6+61503/(n^n)*n^10*(n-8)^n/(n-8)^6-300006/(n^n)*n^9*(n-8)^n/(n-8)^ 6+1017995/(n^n)*n^8*(n-8)^n/(n-8)^6-2397990/(n^n)*n^7*(n-8)^n/(n-8)^6+3832996/( n^n)*n^6*(n-8)^n/(n-8)^6-3946152/(n^n)*n^5*(n-8)^n/(n-8)^6+2344320/(n^n)*n^4*(n -8)^n/(n-8)^6-604800/(n^n)*n^3*(n-8)^n/(n-8)^6+1/(n^n)*n^14*(n-8)^n/(n-8)^6-42/ (n^n)*n^13*(n-8)^n/(n-8)^6+7/(n^n)*n^12*(n-6)^n/(n-6)^6-203/(n^n)*n^11*(n-6)^n/ (n-6)^6+2562/(n^n)*n^10*(n-6)^n/(n-6)^6-18438/(n^n)*n^9*(n-6)^n/(n-6)^6+83223/( n^n)*n^8*(n-6)^n/(n-6)^6-243747/(n^n)*n^7*(n-6)^n/(n-6)^6+461888/(n^n)*n^6*(n-6 )^n/(n-6)^6-544012/(n^n)*n^5*(n-6)^n/(n-6)^6+359520/(n^n)*n^4*(n-6)^n/(n-6)^6-\ 100800/(n^n)*n^3*(n-6)^n/(n-6)^6+6/(n^n)*n^13*(n-7)^n/(n-7)^6-210/(n^n)*n^12*(n -7)^n/(n-7)^6+6*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3-18*n^10*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^3+12*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^ n/(n-2)^3-12*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+60*n^8*(n-1)^n/(n-1)^2 /(n^n)^2*(n-3)^n/(n-3)^3-96*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+48*n^6* (n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^3+6/(n^n)*n^7*(n-4)^n/(n-4)^3-48/(n^n)*n^ 6*(n-4)^n/(n-4)^3+138/(n^n)*n^5*(n-4)^n/(n-4)^3-168/(n^n)*n^4*(n-4)^n/(n-4)^3+ 72/(n^n)*n^3*(n-4)^n/(n-4)^3+3240/(n^n)*n^11*(n-7)^n/(n-7)^6-28980/(n^n)*n^10*( n-7)^n/(n-7)^6+166158/(n^n)*n^9*(n-7)^n/(n-7)^6-636930/(n^n)*n^8*(n-7)^n/(n-7)^ 6+1649460/(n^n)*n^7*(n-7)^n/(n-7)^6-2841720/(n^n)*n^6*(n-7)^n/(n-7)^6+3105936/( n^n)*n^5*(n-7)^n/(n-7)^6-1935360/(n^n)*n^4*(n-7)^n/(n-7)^6+518400/(n^n)*n^3*(n-\ 7)^n/(n-7)^6+1/(n^n)*n^11*(n-5)^n/(n-5)^6-24/(n^n)*n^10*(n-5)^n/(n-5)^6+246/(n^ n)*n^9*(n-5)^n/(n-5)^6-1404/(n^n)*n^8*(n-5)^n/(n-5)^6+4869/(n^n)*n^7*(n-5)^n/(n -5)^6-10476/(n^n)*n^6*(n-5)^n/(n-5)^6+13604/(n^n)*n^5*(n-5)^n/(n-5)^6-9696/(n^n )*n^4*(n-5)^n/(n-5)^6+2880/(n^n)*n^3*(n-5)^n/(n-5)^6+49/(n^n)*n^8*(n-4)^n/(n-4) ^4-539/(n^n)*n^7*(n-4)^n/(n-4)^4+2303/(n^n)*n^6*(n-4)^n/(n-4)^4-4753/(n^n)*n^5* (n-4)^n/(n-4)^4+4704/(n^n)*n^4*(n-4)^n/(n-4)^4-1764/(n^n)*n^3*(n-4)^n/(n-4)^4-\ 16*n^18*((n-1)^n)^6/(n-1)^14/(n^n)^6+557568*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n /(n-7)^5-138240*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5+624*n^14*(n-1)^n/(n -1)^3/(n^n)^2*(n-6)^n/(n-6)^5-7056*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5 +45504*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5-184248*n^11*(n-1)^n/(n-1)^3 /(n^n)^2*(n-6)^n/(n-6)^5+485136*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5-\ 829344*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5+885696*n^8*(n-1)^n/(n-1)^3/( n^n)^2*(n-6)^n/(n-6)^5-534528*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5+ 138240*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^5+68*n^12*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^5-484*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+1868*n^10* (n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-4216*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^ n/(n-4)^5+5552*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-3936*n^7*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^5+1152*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5+ 588*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-5292*n^12*(n-1)^n/(n-1)^3/(n^n )^2*(n-5)^n/(n-5)^5+26628*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-81816*n^ 10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5+156912*n^9*(n-1)^n/(n-1)^3/(n^n)^2*( n-5)^n/(n-5)^5-183008*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5+118272*n^7*(n -1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-32256*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^5-4*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^5-24*n^15*(n-1)^n/(n-1)^3 /(n^n)^2*(n-6)^n/(n-6)^5-4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^5-28*n^14 *(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^5-4*n^20*((n-1)^n)^6/(n-1)^14/(n^n)^6+16 *n^19*((n-1)^n)^6/(n-1)^14/(n^n)^6+7/(n^n)*n^10*(n-6)^n/(n-6)^4-140/(n^n)*n^9*( n-6)^n/(n-6)^4+1162/(n^n)*n^8*(n-6)^n/(n-6)^4-5180/(n^n)*n^7*(n-6)^n/(n-6)^4+n^ 22*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^6-20*n^21*((n-1)^n)^4/(n-1)^8/(n^n )^5*(n-4)^n/(n-4)^6+166*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^6-740*n^ 19*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^6+1909*n^18*((n-1)^n)^4/(n-1)^8/(n ^n)^5*(n-4)^n/(n-4)^6-2840*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^6+ 2244*n^16*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^6-720*n^15*((n-1)^n)^4/(n-1 )^8/(n^n)^5*(n-4)^n/(n-4)^6-4*n^20*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^6+ 96*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^6-984*n^18*((n-1)^n)^3/(n-1)^ 6/(n^n)^4*(n-5)^n/(n-5)^6+5616*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^6 -19476*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^6+41904*n^15*((n-1)^n)^3/ (n-1)^6/(n^n)^4*(n-5)^n/(n-5)^6-54416*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/ (n-5)^6+38784*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^6-11520*n^12*((n-1 )^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^6-7*n^28*((n-1)^n)^8/(n-1)^20/(n^n)^8+56*n ^27*((n-1)^n)^8/(n-1)^20/(n^n)^8-168*n^26*((n-1)^n)^8/(n-1)^20/(n^n)^8+224*n^25 *((n-1)^n)^8/(n-1)^20/(n^n)^8+6*n^25*((n-1)^n)^7/(n-1)^18/(n^n)^7-48*n^24*((n-1 )^n)^7/(n-1)^18/(n^n)^7+144*n^23*((n-1)^n)^7/(n-1)^18/(n^n)^7-192*n^22*((n-1)^n )^7/(n-1)^18/(n^n)^7+96*n^21*((n-1)^n)^7/(n-1)^18/(n^n)^7-64*n^18*((n-1)^n)^6/( n-1)^16/(n^n)^6-4*n^22*((n-1)^n)^6/(n-1)^16/(n^n)^6+32*n^21*((n-1)^n)^6/(n-1)^ 16/(n^n)^6-96*n^20*((n-1)^n)^6/(n-1)^16/(n^n)^6+128*n^19*((n-1)^n)^6/(n-1)^16/( n^n)^6+16*n^15*((n-1)^n)^5/(n-1)^14/(n^n)^5+n^19*((n-1)^n)^5/(n-1)^14/(n^n)^5-8 *n^18*((n-1)^n)^5/(n-1)^14/(n^n)^5+24*n^17*((n-1)^n)^5/(n-1)^14/(n^n)^5-32*n^16 *((n-1)^n)^5/(n-1)^14/(n^n)^5+42/(n^n)*n^9*(n-5)^n/(n-5)^4-630/(n^n)*n^8*(n-5)^ n/(n-5)^4+3822/(n^n)*n^7*(n-5)^n/(n-5)^4-11970/(n^n)*n^6*(n-5)^n/(n-5)^4+20328/ (n^n)*n^5*(n-5)^n/(n-5)^4-17640/(n^n)*n^4*(n-5)^n/(n-5)^4+6048/(n^n)*n^3*(n-5)^ n/(n-5)^4+6*n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^6-174*n^17*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^6+2196*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^ n/(n-6)^6-15804*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^6+71334*n^14*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^6-208926*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^ 3*(n-6)^n/(n-6)^6+395904*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^6-\ 466296*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^6+308160*n^10*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^6-86400*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/ (n-6)^6+6*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6-144*n^16*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6+1476*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/ (n-5)^6-8424*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6+29214*n^13*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6-62856*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -5)^n/(n-5)^6+81624*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6-58176*n^10 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^6+17280*n^9*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-5)^n/(n-5)^6+864*n^11*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3-960*n^ 10*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3+384*n^9*((n-1)^n)^2/(n-1)^5/(n^n )^3*(n-3)^n/(n-3)^3-24*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+240*n^10*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-936*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^3+1776*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3-1632*n^7*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^3+576*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^3+42*n^ 13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-336*n^12*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-3)^n/(n-3)^4+966*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-1176* n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+504*n^9*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-3)^n/(n-3)^4-84*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+924*n^10* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-3948*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^ n/(n-4)^4+8148*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-8064*n^7*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-4)^n/(n-4)^4+3024*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+ 36*n^21*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^4+36*n^19*((n-1)^n)^4/(n-1)^ 10/(n^n)^5*(n-2)^n/(n-2)^3-252*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^ 3+648*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^3-720*n^16*((n-1)^n)^4/(n -1)^10/(n^n)^5*(n-2)^n/(n-2)^3+288*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n -2)^3-48*n^21*((n-1)^n)^7/(n-1)^17/(n^n)^7-8*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^ n/(n-2)^3+12*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^3-4*n^8*(n-1)^n/(n-1)^2/ (n^n)^2*(n-2)^n/(n-2)^3-4*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+20*n^8*(n -1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3-32*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n -2)^3+16*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^3+13363/(n^n)*n^6*(n-6)^n/(n -6)^4-19880/(n^n)*n^5*(n-6)^n/(n-6)^4+15708/(n^n)*n^4*(n-6)^n/(n-6)^4-5040/(n^n )*n^3*(n-6)^n/(n-6)^4-2*n^15*((n-1)^n)^5/(n-1)^11/(n^n)^5-1416*n^16*((n-1)^n)^3 /(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+3648*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/ (n-3)^4-432*n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^4+3420*n^20*((n-1)^ n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^4-11844*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*( n-4)^n/(n-4)^4+24192*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^4-29088*n^ 17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^4+19008*n^16*((n-1)^n)^4/(n-1)^10 /(n^n)^5*(n-4)^n/(n-4)^4-5184*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^4 -24*n^15*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+120*n^14*((n-1)^n)^3/(n-1) ^7/(n^n)^4*(n-2)^n/(n-2)^3-192*n^13*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3 +96*n^12*((n-1)^n)^3/(n-1)^7/(n^n)^4*(n-2)^n/(n-2)^3+48*n^13*((n-1)^n)^2/(n-1)^ 5/(n^n)^3*(n-3)^n/(n-3)^3-336*n^12*((n-1)^n)^2/(n-1)^5/(n^n)^3*(n-3)^n/(n-3)^3 In particular we have an indication that, X[1], and , X[2], are joint-asymptoically normal with limiting correlation exp(-2) - ----------------------------------------------- 1/2 ((-2 exp(-2) + exp(-1)) (exp(-1) - exp(-2))) and in decomals -.9001302589 ------------------------------------------------ We will now study how , X[1], and , X[3], intereact The, 1, 1, mixed moment of, X[1], and , X[3], is 8 n 2 7 n 2 6 n 2 n 6 n ((n - 1) ) 5 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) n - ---------------- + ---------------- - ---------------- + ------------- 6 n 2 6 n 2 6 n 2 4 n 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 2 (n - 2) n n 5 n 4 n 3 3 (n - 2) n 11 (n - 2) n 3 (n - 2) n - ------------- + -------------- - ------------- 4 n 4 n 4 n (n - 2) n 2 (n - 2) n (n - 2) n and in Maple notation -1/2*n^8*((n-1)^n)^2/(n-1)^6/(n^n)^2+5/2*n^7*((n-1)^n)^2/(n-1)^6/(n^n)^2-3*n^6* ((n-1)^n)^2/(n-1)^6/(n^n)^2+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n^ n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3 The, 1, 2, mixed moment of, X[1], and , X[3], is 11 n n 10 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 47 n (n - 1) (n - 2) 97 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 48 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 85 n (n - 1) (n - 2) 225 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 7 n n 6 n n 6 n 2 137 n (n - 1) (n - 2) 30 n (n - 1) (n - 2) 3 n ((n - 1) ) - ------------------------- + ----------------------- - ---------------- 2 n 2 6 2 n 2 6 6 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 9 n 3 8 n 2 7 n 2 n 6 18 n ((n - 1) ) n ((n - 1) ) 5 n ((n - 1) ) (n - 2) n + ----------------- - ---------------- + ---------------- + ------------- 10 n 3 6 n 2 6 n 2 4 n (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 2) n n 5 n 4 n 3 13 n 3 3 (n - 2) n 11 (n - 2) n 3 (n - 2) n n ((n - 1) ) - ------------- + -------------- - ------------- + ----------------- 4 n 4 n 4 n 10 n 3 (n - 2) n 2 (n - 2) n (n - 2) n 2 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 5 n ((n - 1) ) 37 n ((n - 1) ) 30 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 10 n 3 10 n 3 10 n 3 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 9 n 8 n 7 n 6 n n (n - 3) 17 n (n - 3) 115 n (n - 3) 395 n (n - 3) + ------------- - -------------- + --------------- - --------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 5 n 4 n 3 n 181 n (n - 3) 167 n (n - 3) 60 n (n - 3) + --------------- - --------------- + -------------- n 6 n 6 n 6 n (n - 3) n (n - 3) n (n - 3) and in Maple notation -1/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+11/2*n^10*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^4-47/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+97/2*n^8* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-48*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/ (n-2)^4+18*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-1/4*n^11*(n-1)^n/(n-1)^2 /(n^n)^2*(n-2)^n/(n-2)^6+15/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6-85/4 *n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+225/4*n^8*(n-1)^n/(n-1)^2/(n^n)^2* (n-2)^n/(n-2)^6-137/2*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+30*n^6*(n-1)^ n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6-3*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2+18*n^9*((n-\ 1)^n)^3/(n-1)^10/(n^n)^3-1/2*n^8*((n-1)^n)^2/(n-1)^6/(n^n)^2+5/2*n^7*((n-1)^n)^ 2/(n-1)^6/(n^n)^2+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n^n)*n^5+11/ 2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3+1/2*n^13*((n-1)^n)^3/(n -1)^10/(n^n)^3-5*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+37/2*n^11*((n-1)^n)^3/(n-1)^ 10/(n^n)^3-30*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+1/4/(n^n)*n^9*(n-3)^n/(n-3)^6-\ 17/4/(n^n)*n^8*(n-3)^n/(n-3)^6+115/4/(n^n)*n^7*(n-3)^n/(n-3)^6-395/4/(n^n)*n^6* (n-3)^n/(n-3)^6+181/(n^n)*n^5*(n-3)^n/(n-3)^6-167/(n^n)*n^4*(n-3)^n/(n-3)^6+60/ (n^n)*n^3*(n-3)^n/(n-3)^6 The, 1, 3, mixed moment of, X[1], and , X[3], is 12 n 4 11 n n 10 n n 81 n ((n - 1) ) 3 n (n - 1) (n - 2) 33 n (n - 1) (n - 2) - ------------------ - ------------------------- + ------------------------- 14 n 4 4 n 2 4 4 n 2 4 (n - 1) (n ) 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 141 n (n - 1) (n - 2) 291 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 7 n n 6 n n 72 n (n - 1) (n - 2) 27 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n 2 n 81 n ((n - 1) ) (n - 2) 555 n ((n - 1) ) (n - 2) - -------------------------- - ---------------------------- 8 n 3 4 6 n 3 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 5727 n ((n - 1) ) (n - 2) 1065 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1683 n ((n - 1) ) (n - 2) 270 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 16 n 2 n 249 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 12 n n 15 n ((n - 1) ) (n - 2) 309 n (n - 1) (n - 3) - --------------------------- - ------------------------- 6 n 3 6 4 n 2 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 402 n (n - 1) (n - 3) 10167 n (n - 1) (n - 3) + ------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 9 n n 8 n n 9987 n (n - 1) (n - 3) 5943 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 7 n n 6 n n 1953 n (n - 1) (n - 3) 540 n (n - 1) (n - 3) + ------------------------- - ------------------------ 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 33 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 15 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 189 n (n - 1) (n - 3) 651 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 10689 n (n - 1) (n - 3) 13335 n (n - 1) (n - 3) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 8 n n 7 n n 9833 n (n - 1) (n - 3) 3897 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 11 n n 1260 n (n - 1) (n - 3) 3 n (n - 1) (n - 2) - ------------------------- - ------------------------- 2 n 2 8 2 n 2 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 10 n n 9 n n 45 n (n - 1) (n - 2) 255 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 7 n n 675 n (n - 1) (n - 2) 411 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 6 n n 16 n 2 n 90 n (n - 1) (n - 2) 3 n ((n - 1) ) (n - 2) + ----------------------- + -------------------------- 2 n 2 6 8 n 3 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 6 n ((n - 1) ) (n - 2) 81 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 597 n ((n - 1) ) (n - 2) 2589 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1647 n ((n - 1) ) (n - 2) 567 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 4 17 n 4 16 n 4 3 n ((n - 1) ) 45 n ((n - 1) ) 279 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 14 n 4 14 n 4 14 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 915 n ((n - 1) ) 837 n ((n - 1) ) 405 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 8 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 12 n 11 n 10 n 9 n n (n - 4) 33 n (n - 4) 117 n (n - 4) 1869 n (n - 4) + ------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 8 n (n - 4) 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 8 n 7 n 6 n 18501 n (n - 4) 58737 n (n - 4) 59671 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 8 n (n - 4) 8 n (n - 4) 4 n (n - 4) 5 n 4 n 3 n 37293 n (n - 4) 12951 n (n - 4) 3780 n (n - 4) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 2 n (n - 4) n (n - 4) n (n - 4) 6 n 2 9 n 3 8 n 2 3 n ((n - 1) ) 27 n ((n - 1) ) n ((n - 1) ) - ---------------- + ----------------- - ---------------- 6 n 2 10 n 3 6 n 2 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) 7 n 2 n 6 n 5 n 4 5 n ((n - 1) ) (n - 2) n 3 (n - 2) n 11 (n - 2) n + ---------------- + ------------- - ------------- + -------------- 6 n 2 4 n 4 n 4 n 2 (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 3 13 n 3 12 n 3 3 (n - 2) n 3 n ((n - 1) ) 15 n ((n - 1) ) - ------------- + ----------------- - ------------------ 4 n 10 n 3 10 n 3 (n - 2) n 4 (n - 1) (n ) 2 (n - 1) (n ) 11 n 3 10 n 3 9 n 111 n ((n - 1) ) 45 n ((n - 1) ) 3 n (n - 3) + ------------------- - ------------------ + ------------- 10 n 3 10 n 3 n 6 4 (n - 1) (n ) (n - 1) (n ) 4 n (n - 3) 8 n 7 n 6 n 5 n 51 n (n - 3) 345 n (n - 3) 1185 n (n - 3) 543 n (n - 3) - -------------- + --------------- - ---------------- + --------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) n (n - 3) 4 n 3 n 501 n (n - 3) 180 n (n - 3) - --------------- + --------------- n 6 n 6 n (n - 3) n (n - 3) and in Maple notation -81*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4-3/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/ (n-2)^4+33/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-141/4*n^9*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-2)^n/(n-2)^4+291/4*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-\ 72*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+27*n^6*(n-1)^n/(n-1)^4/(n^n)^2*( n-2)^n/(n-2)^4-81*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-555/2*n^13*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+5727/8*n^12*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-2)^n/(n-2)^6-1065*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+1683/2 *n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-270*n^9*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-2)^n/(n-2)^6+249/4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+3 /8*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-15/2*n^15*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-2)^n/(n-2)^6-309/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+ 402*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-10167/8*n^10*(n-1)^n/(n-1)^4/( n^n)^2*(n-3)^n/(n-3)^6+9987/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-5943/ 2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1953*n^7*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^6-540*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/8*n^14*(n-1)^ n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+33/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^6-1/8*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+15/4*n^13*(n-1)^n/(n-1)^2 /(n^n)^2*(n-3)^n/(n-3)^8-189/4*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+651 /2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-10689/8*n^10*(n-1)^n/(n-1)^2/(n ^n)^2*(n-3)^n/(n-3)^8+13335/4*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-9833/ 2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+3897*n^7*(n-1)^n/(n-1)^2/(n^n)^2* (n-3)^n/(n-3)^8-1260*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-3/4*n^11*(n-1) ^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+45/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n -2)^6-255/4*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+675/4*n^8*(n-1)^n/(n-1) ^2/(n^n)^2*(n-2)^n/(n-2)^6-411/2*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+90 *n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+3/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-2)^n/(n-2)^4-6*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+81/2*n^14 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/4*n^13*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^4+2589/8*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-\ 1647/4*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+567/2*n^10*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-3/8*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+45/8*n^17 *((n-1)^n)^4/(n-1)^14/(n^n)^4-279/8*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+915/8*n^ 15*((n-1)^n)^4/(n-1)^14/(n^n)^4-837/4*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+405/2*n ^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/8/(n^n)*n^12*(n-4)^n/(n-4)^8-33/8/(n^n)*n^11 *(n-4)^n/(n-4)^8+117/2/(n^n)*n^10*(n-4)^n/(n-4)^8-1869/4/(n^n)*n^9*(n-4)^n/(n-4 )^8+18501/8/(n^n)*n^8*(n-4)^n/(n-4)^8-58737/8/(n^n)*n^7*(n-4)^n/(n-4)^8+59671/4 /(n^n)*n^6*(n-4)^n/(n-4)^8-37293/2/(n^n)*n^5*(n-4)^n/(n-4)^8+12951/(n^n)*n^4*(n -4)^n/(n-4)^8-3780/(n^n)*n^3*(n-4)^n/(n-4)^8-3*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2+ 27*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3-1/2*n^8*((n-1)^n)^2/(n-1)^6/(n^n)^2+5/2*n^7 *((n-1)^n)^2/(n-1)^6/(n^n)^2+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n ^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3+3/4*n^13*((n -1)^n)^3/(n-1)^10/(n^n)^3-15/2*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+111/4*n^11*((n -1)^n)^3/(n-1)^10/(n^n)^3-45*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+3/4/(n^n)*n^9*(n -3)^n/(n-3)^6-51/4/(n^n)*n^8*(n-3)^n/(n-3)^6+345/4/(n^n)*n^7*(n-3)^n/(n-3)^6-\ 1185/4/(n^n)*n^6*(n-3)^n/(n-3)^6+543/(n^n)*n^5*(n-3)^n/(n-3)^6-501/(n^n)*n^4*(n -3)^n/(n-3)^6+180/(n^n)*n^3*(n-3)^n/(n-3)^6 The, 1, 4, mixed moment of, X[1], and , X[3], is 12 n 4 16 n 3 n 162 n ((n - 1) ) 7801 n ((n - 1) ) (n - 2) - ------------------- + ----------------------------- 14 n 4 12 n 4 4 (n - 1) (n ) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2856 n ((n - 1) ) (n - 2) 2646 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1404 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 50475 n ((n - 1) ) (n - 2) 41847 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 21735 n ((n - 1) ) (n - 2) 6399 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 1620 n ((n - 1) ) (n - 2) 19815 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 3 n ((n - 1) ) (n - 2) 75 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 6 10 n 4 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 102 n ((n - 1) ) (n - 2) 2535 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 29955 n ((n - 1) ) (n - 3) 90105 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 46161 n ((n - 1) ) (n - 3) 31791 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 28134 n ((n - 1) ) (n - 3) 14418 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 3240 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ---------------------------- + -------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 81 n ((n - 1) ) (n - 3) 483 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 19 n 2 n 3351 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 8 n 3 6 6 n 3 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 35 n ((n - 1) ) (n - 3) 267 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 2337 n ((n - 1) ) (n - 3) 25977 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 95739 n ((n - 1) ) (n - 3) 59204 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 96964 n ((n - 1) ) (n - 3) 100488 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 59364 n ((n - 1) ) (n - 3) 15120 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n n 16 n n n (n - 1) (n - 4) 19 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n n 14 n n 639 n (n - 1) (n - 4) 1569 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 39999 n (n - 1) (n - 4) 86835 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 524033 n (n - 1) (n - 4) 274576 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 391380 n (n - 1) (n - 4) 360828 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 193212 n (n - 1) (n - 4) 45360 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 16 n n n (n - 1) (n - 4) 25 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n n 14 n n 1101 n (n - 1) (n - 4) 7035 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 13 n n 12 n n 115743 n (n - 1) (n - 4) 321195 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 11 n n 10 n n 2449943 n (n - 1) (n - 4) 3203525 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 9 n n 8 n n 2808039 n (n - 1) (n - 4) 1566495 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 7 n n 6 n n 498366 n (n - 1) (n - 4) 136080 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ----------------------- + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 47 n (n - 1) (n - 2) 97 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 96 n (n - 1) (n - 2) 36 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n 2 n 162 n ((n - 1) ) (n - 2) 1110 n ((n - 1) ) (n - 2) - --------------------------- - ----------------------------- 8 n 3 4 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 5727 n ((n - 1) ) (n - 2) 4260 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 3366 n ((n - 1) ) (n - 2) 1080 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 16 n 2 n 249 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 2 n 12 n n 30 n ((n - 1) ) (n - 2) 309 n (n - 1) (n - 3) - --------------------------- - ------------------------- 6 n 3 6 4 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n n 10 n n 1608 n (n - 1) (n - 3) 10167 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 9987 n (n - 1) (n - 3) 11886 n (n - 1) (n - 3) + ------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 7812 n (n - 1) (n - 3) 2160 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 33 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 45 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 567 n (n - 1) (n - 3) 1953 n (n - 1) (n - 3) - ------------------------- + -------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 32067 n (n - 1) (n - 3) 40005 n (n - 1) (n - 3) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 8 n n 7 n n 29499 n (n - 1) (n - 3) 23382 n (n - 1) (n - 3) - -------------------------- + -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 11 n n 7560 n (n - 1) (n - 3) 7 n (n - 1) (n - 2) - ------------------------- - ------------------------- 2 n 2 8 2 n 2 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 10 n n 9 n n 105 n (n - 1) (n - 2) 595 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 7 n n 1575 n (n - 1) (n - 2) 959 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 6 n n 16 n 2 n 210 n (n - 1) (n - 2) 3 n ((n - 1) ) (n - 2) + ------------------------ + -------------------------- 2 n 2 6 8 n 3 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 12 n ((n - 1) ) (n - 2) 81 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 597 n ((n - 1) ) (n - 2) 2589 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1647 n ((n - 1) ) (n - 2) 567 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 22 n 5 21 n 5 n ((n - 1) ) 5 n ((n - 1) ) 87 n ((n - 1) ) + ----------------- - ----------------- + ------------------ 18 n 5 18 n 5 18 n 5 4 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 215 n ((n - 1) ) 2641 n ((n - 1) ) 1290 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 18 n 5 18 n 5 18 n 5 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 18 n 4 1566 n ((n - 1) ) 1080 n ((n - 1) ) 3 n ((n - 1) ) + -------------------- - -------------------- - ----------------- 18 n 5 18 n 5 14 n 4 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 45 n ((n - 1) ) 279 n ((n - 1) ) 915 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 4 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 14 n 4 13 n 4 12 n 837 n ((n - 1) ) 405 n ((n - 1) ) 3 n (n - 4) - ------------------- + ------------------- + -------------- 14 n 4 14 n 4 n 8 2 (n - 1) (n ) (n - 1) (n ) 4 n (n - 4) 11 n 10 n 9 n 99 n (n - 4) 351 n (n - 4) 5607 n (n - 4) - --------------- + ---------------- - ---------------- n 8 n 8 n 8 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 55503 n (n - 4) 176211 n (n - 4) 179013 n (n - 4) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 111879 n (n - 4) 77706 n (n - 4) 22680 n (n - 4) - ------------------ + ----------------- - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 6 n 2 9 n 3 15 n 5 3 n ((n - 1) ) 36 n ((n - 1) ) 324 n ((n - 1) ) - ---------------- + ----------------- + ------------------- 6 n 2 10 n 3 18 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 8 n 2 7 n 2 n 6 n 5 n ((n - 1) ) 5 n ((n - 1) ) (n - 2) n 3 (n - 2) n - ---------------- + ---------------- + ------------- - ------------- 6 n 2 6 n 2 4 n 4 n 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 2) n (n - 2) n n 4 n 3 15 n 14 n 11 (n - 2) n 3 (n - 2) n n (n - 5) 27 n (n - 5) + -------------- - ------------- + --------------- - --------------- 4 n 4 n n 10 n 10 2 (n - 2) n (n - 2) n 16 n (n - 5) 8 n (n - 5) 13 n 12 n 11 n 1301 n (n - 5) 9237 n (n - 5) 172023 n (n - 5) + ----------------- - ----------------- + ------------------- n 10 n 10 n 10 16 n (n - 5) 8 n (n - 5) 16 n (n - 5) 10 n 9 n 8 n 552681 n (n - 5) 5019503 n (n - 5) 8103411 n (n - 5) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 8 n (n - 5) 16 n (n - 5) 8 n (n - 5) 7 n 6 n 5 n 9215089 n (n - 5) 7182573 n (n - 5) 3631356 n (n - 5) + ------------------- - ------------------- + ------------------- n 10 n 10 n 10 4 n (n - 5) 2 n (n - 5) n (n - 5) 4 n 3 n 13 n 3 2129544 n (n - 5) 544320 n (n - 5) n ((n - 1) ) - ------------------- + ------------------ + --------------- n 10 n 10 10 n 3 n (n - 5) n (n - 5) (n - 1) (n ) 12 n 3 11 n 3 10 n 3 10 n ((n - 1) ) 37 n ((n - 1) ) 60 n ((n - 1) ) - ------------------ + ------------------ - ------------------ 10 n 3 10 n 3 10 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 9 n 8 n 7 n 6 n 7 n (n - 3) 119 n (n - 3) 805 n (n - 3) 2765 n (n - 3) + ------------- - --------------- + --------------- - ---------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 5 n 4 n 3 n 1267 n (n - 3) 1169 n (n - 3) 420 n (n - 3) + ---------------- - ---------------- + --------------- n 6 n 6 n 6 n (n - 3) n (n - 3) n (n - 3) 21 n 3 n 20 n 3 n n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 97 n ((n - 1) ) (n - 2) 517 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 3 n 3501 n ((n - 1) ) (n - 2) - ----------------------------- 12 n 4 4 4 (n - 1) (n ) (n - 2) and in Maple notation -162*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4+7801/4*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^4-2856*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+2646*n^ 14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-1404*n^13*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-2)^n/(n-2)^4+324*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+ 50475/8*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-41847/4*n^15*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6+21735/2*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4* (n-2)^n/(n-2)^6-6399*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6+1620*n^ 12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-19815/8*n^17*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-2)^n/(n-2)^6-3/8*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^ 6+75/8*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-102*n^19*((n-1)^n)^3/( n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6+2535/4*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^ n/(n-2)^6+29955/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-90105/8*n^14 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+46161/2*n^13*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^6-31791*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+ 28134*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-14418*n^10*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+3240*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^6+3/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-81/8*n^18*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+483/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^6-3351/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+1/4*n^19*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-35/4*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -3)^n/(n-3)^8+267/2*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-2337/2*n^ 16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+25977/4*n^15*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-3)^n/(n-3)^8-95739/4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3) ^8+59204*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-96964*n^12*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+100488*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3) ^n/(n-3)^8-59364*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+15120*n^9*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-1/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^8+19/2*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-639/4*n^15*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+1569*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^8-39999/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+86835/2*n^12*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-524033/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^8+274576*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-391380*n^9*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^8+360828*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 8-193212*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+45360*n^6*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^8-1/16*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10+25/8 *n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10-1101/16*n^15*(n-1)^n/(n-1)^2/(n^ n)^2*(n-4)^n/(n-4)^10+7035/8*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10-\ 115743/16*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10+321195/8*n^12*(n-1)^n/( n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10-2449943/16*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^10+3203525/8*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10-2808039/4*n^9 *(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10+1566495/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2 *(n-4)^n/(n-4)^10-498366*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10+136080*n^ 6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^10-n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n /(n-2)^4+11*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-47*n^9*(n-1)^n/(n-1)^4 /(n^n)^2*(n-2)^n/(n-2)^4+97*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-96*n^7* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+36*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/ (n-2)^4-162*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-1110*n^13*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+5727/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2 )^n/(n-2)^6-4260*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+3366*n^10*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-1080*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-2)^n/(n-2)^6+249*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+3/2*n^16*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-30*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-2)^n/(n-2)^6-309*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1608*n^11*(n-1) ^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-10167/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^6+9987*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-11886*n^8*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-3)^n/(n-3)^6+7812*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-\ 2160*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/2*n^14*(n-1)^n/(n-1)^4/(n^n) ^2*(n-3)^n/(n-3)^6+33*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/4*n^14*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+45/2*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/ (n-3)^8-567/2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+1953*n^11*(n-1)^n/(n -1)^2/(n^n)^2*(n-3)^n/(n-3)^8-32067/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3 )^8+40005/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-29499*n^8*(n-1)^n/(n-1) ^2/(n^n)^2*(n-3)^n/(n-3)^8+23382*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-\ 7560*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-7/4*n^11*(n-1)^n/(n-1)^2/(n^n) ^2*(n-2)^n/(n-2)^6+105/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6-595/4*n^9 *(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+1575/4*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 2)^n/(n-2)^6-959/2*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+210*n^6*(n-1)^n/ (n-1)^2/(n^n)^2*(n-2)^n/(n-2)^6+3/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n -2)^4-12*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+81*n^14*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/( n-2)^4+2589/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-1647/2*n^11*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+567*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -2)^n/(n-2)^4+1/4*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^5-5*n^22*((n-1)^n)^5/(n-1)^18 /(n^n)^5+87/2*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^5-215*n^20*((n-1)^n)^5/(n-1)^18/( n^n)^5+2641/4*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^5-1290*n^18*((n-1)^n)^5/(n-1)^18/ (n^n)^5+1566*n^17*((n-1)^n)^5/(n-1)^18/(n^n)^5-1080*n^16*((n-1)^n)^5/(n-1)^18/( n^n)^5-3/4*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+45/4*n^17*((n-1)^n)^4/(n-1)^14/(n^ n)^4-279/4*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+915/4*n^15*((n-1)^n)^4/(n-1)^14/(n ^n)^4-837/2*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+405*n^13*((n-1)^n)^4/(n-1)^14/(n^ n)^4+3/4/(n^n)*n^12*(n-4)^n/(n-4)^8-99/4/(n^n)*n^11*(n-4)^n/(n-4)^8+351/(n^n)*n ^10*(n-4)^n/(n-4)^8-5607/2/(n^n)*n^9*(n-4)^n/(n-4)^8+55503/4/(n^n)*n^8*(n-4)^n/ (n-4)^8-176211/4/(n^n)*n^7*(n-4)^n/(n-4)^8+179013/2/(n^n)*n^6*(n-4)^n/(n-4)^8-\ 111879/(n^n)*n^5*(n-4)^n/(n-4)^8+77706/(n^n)*n^4*(n-4)^n/(n-4)^8-22680/(n^n)*n^ 3*(n-4)^n/(n-4)^8-3*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2+36*n^9*((n-1)^n)^3/(n-1)^10 /(n^n)^3+324*n^15*((n-1)^n)^5/(n-1)^18/(n^n)^5-1/2*n^8*((n-1)^n)^2/(n-1)^6/(n^n )^2+5/2*n^7*((n-1)^n)^2/(n-1)^6/(n^n)^2+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n /(n-2)^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3+1 /16/(n^n)*n^15*(n-5)^n/(n-5)^10-27/8/(n^n)*n^14*(n-5)^n/(n-5)^10+1301/16/(n^n)* n^13*(n-5)^n/(n-5)^10-9237/8/(n^n)*n^12*(n-5)^n/(n-5)^10+172023/16/(n^n)*n^11*( n-5)^n/(n-5)^10-552681/8/(n^n)*n^10*(n-5)^n/(n-5)^10+5019503/16/(n^n)*n^9*(n-5) ^n/(n-5)^10-8103411/8/(n^n)*n^8*(n-5)^n/(n-5)^10+9215089/4/(n^n)*n^7*(n-5)^n/(n -5)^10-7182573/2/(n^n)*n^6*(n-5)^n/(n-5)^10+3631356/(n^n)*n^5*(n-5)^n/(n-5)^10-\ 2129544/(n^n)*n^4*(n-5)^n/(n-5)^10+544320/(n^n)*n^3*(n-5)^n/(n-5)^10+n^13*((n-1 )^n)^3/(n-1)^10/(n^n)^3-10*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+37*n^11*((n-1)^n)^ 3/(n-1)^10/(n^n)^3-60*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+7/4/(n^n)*n^9*(n-3)^n/( n-3)^6-119/4/(n^n)*n^8*(n-3)^n/(n-3)^6+805/4/(n^n)*n^7*(n-3)^n/(n-3)^6-2765/4/( n^n)*n^6*(n-3)^n/(n-3)^6+1267/(n^n)*n^5*(n-3)^n/(n-3)^6-1169/(n^n)*n^4*(n-3)^n/ (n-3)^6+420/(n^n)*n^3*(n-3)^n/(n-3)^6-1/4*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 2)^n/(n-2)^4+21/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-97/2*n^19*( (n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+517/2*n^18*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-2)^n/(n-2)^4-3501/4*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4 The, 2, 1, mixed moment of, X[1], and , X[3], is 11 n 3 10 n 3 9 n 3 8 n 2 n ((n - 1) ) 5 n ((n - 1) ) 6 n ((n - 1) ) n ((n - 1) ) --------------- - ----------------- + ---------------- - ---------------- 8 n 3 8 n 3 8 n 3 6 n 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) 7 n 2 6 n 2 9 n n 5 n ((n - 1) ) 3 n ((n - 1) ) n (n - 1) (n - 2) + ---------------- - ---------------- - ------------------------- 6 n 2 6 n 2 4 n 2 2 2 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 3 n (n - 1) (n - 2) 11 n (n - 1) (n - 2) + ----------------------- - ------------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 6 n n 9 n n 3 n (n - 1) (n - 2) n (n - 1) (n - 2) + ----------------------- - ----------------------- 4 n 2 2 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 6 n (n - 1) (n - 2) 11 n (n - 1) (n - 2) + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n n 6 n 5 n 4 6 n (n - 1) (n - 2) (n - 2) n 3 (n - 2) n 11 (n - 2) n + ----------------------- + ------------- - ------------- + -------------- 2 n 2 4 4 n 4 n 4 n (n - 1) (n ) (n - 2) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 3 7 n 6 n 5 n 3 (n - 2) n n (n - 3) 4 n (n - 3) 23 n (n - 3) - ------------- + ------------- - ------------- + -------------- 4 n n 4 n 4 n 4 (n - 2) n 2 n (n - 3) n (n - 3) 2 n (n - 3) 4 n 3 n 14 n (n - 3) 6 n (n - 3) - -------------- + ------------- n 4 n 4 n (n - 3) n (n - 3) and in Maple notation n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-5*n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+6*n^9*((n-1 )^n)^3/(n-1)^8/(n^n)^3-1/2*n^8*((n-1)^n)^2/(n-1)^6/(n^n)^2+5/2*n^7*((n-1)^n)^2/ (n-1)^6/(n^n)^2-3*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2-1/2*n^9*(n-1)^n/(n-1)^4/(n^n) ^2*(n-2)^n/(n-2)^2+3*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2-11/2*n^7*(n-1) ^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2+3*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^ 2-n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 2)^n/(n-2)^4-11*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^6*(n-1)^n/(n-1) ^2/(n^n)^2*(n-2)^n/(n-2)^4+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n^n )*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3+1/2/(n^n)*n^7* (n-3)^n/(n-3)^4-4/(n^n)*n^6*(n-3)^n/(n-3)^4+23/2/(n^n)*n^5*(n-3)^n/(n-3)^4-14/( n^n)*n^4*(n-3)^n/(n-3)^4+6/(n^n)*n^3*(n-3)^n/(n-3)^4 The, 2, 2, mixed moment of, X[1], and , X[3], is 9 n n 8 n n 7 n n n (n - 1) (n - 2) 6 n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ----------------------- + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n 3 11 n n 6 n (n - 1) (n - 2) 3 n ((n - 1) ) n (n - 1) (n - 2) + ----------------------- + ---------------- - ------------------------- 2 n 2 4 8 n 3 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 11 n (n - 1) (n - 2) 47 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 97 n (n - 1) (n - 2) 48 n (n - 1) (n - 2) + ------------------------- - ----------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 11 n 3 10 n 3 18 n (n - 1) (n - 2) n ((n - 1) ) 5 n ((n - 1) ) + ----------------------- + ---------------- - ----------------- 4 n 2 4 8 n 3 8 n 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) 2 (n - 1) (n ) 7 n 6 n 5 n 4 n n (n - 3) 4 n (n - 3) 23 n (n - 3) 14 n (n - 3) + ------------- - ------------- + -------------- - -------------- n 4 n 4 n 4 n 4 2 n (n - 3) n (n - 3) 2 n (n - 3) n (n - 3) 3 n 12 n 4 10 n 9 n 6 n (n - 3) 27 n ((n - 1) ) n (n - 4) 5 n (n - 4) + ------------- - ------------------ + ------------- - ------------- n 4 12 n 4 n 6 n 6 n (n - 3) (n - 1) (n ) 4 n (n - 4) n (n - 4) 8 n 7 n 6 n 5 n 83 n (n - 4) 185 n (n - 4) 1909 n (n - 4) 710 n (n - 4) + -------------- - --------------- + ---------------- - --------------- n 6 n 6 n 6 n 6 2 n (n - 4) n (n - 4) 4 n (n - 4) n (n - 4) 4 n 3 n 16 n 4 561 n (n - 4) 180 n (n - 4) 3 n ((n - 1) ) + --------------- - --------------- - ----------------- n 6 n 6 12 n 4 n (n - 4) n (n - 4) 4 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 15 n ((n - 1) ) 111 n ((n - 1) ) 45 n ((n - 1) ) + ------------------ - ------------------- + ------------------ 12 n 4 12 n 4 12 n 4 2 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 9 n 3 n 6 n 5 n 4 9 n ((n - 1) ) (n - 2) n 3 (n - 2) n 11 (n - 2) n + ---------------- + ------------- - ------------- + -------------- 10 n 3 4 n 4 n 4 n (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 3 8 n n 7 n n 3 (n - 2) n 145 n (n - 1) (n - 3) 114 n (n - 1) (n - 3) - ------------- - ------------------------ + ------------------------ 4 n 4 n 2 4 4 n 2 4 (n - 2) n (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 36 n (n - 1) (n - 3) n (n - 1) (n - 3) - ----------------------- - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 14 n 2 n 13 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) + ------------------------- + ------------------------- 4 n 2 4 4 n 3 6 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 15 n ((n - 1) ) (n - 2) 85 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 225 n ((n - 1) ) (n - 2) 137 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 12 n n 30 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - -------------------------- - ------------------------- 4 n 3 6 2 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 17 n (n - 1) (n - 3) 115 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 395 n (n - 1) (n - 3) 362 n (n - 1) (n - 3) + ------------------------- - ------------------------ 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 334 n (n - 1) (n - 3) 120 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 47 n ((n - 1) ) (n - 2) 97 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 24 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + --------------------------- - ------------------------- 8 n 3 2 8 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 47 n ((n - 1) ) (n - 2) 97 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 96 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 69 n (n - 1) (n - 3) 191 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 3 12 n 3 11 n 3 n ((n - 1) ) 5 n ((n - 1) ) 37 n ((n - 1) ) + ----------------- - ----------------- + ------------------ 10 n 3 10 n 3 10 n 3 4 (n - 1) (n ) 2 (n - 1) (n ) 4 (n - 1) (n ) 10 n 3 9 n 8 n 7 n 15 n ((n - 1) ) n (n - 3) 17 n (n - 3) 115 n (n - 3) - ------------------ + ------------- - -------------- + --------------- 10 n 3 n 6 n 6 n 6 (n - 1) (n ) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 3 n 395 n (n - 3) 181 n (n - 3) 167 n (n - 3) 60 n (n - 3) - --------------- + --------------- - --------------- + -------------- n 6 n 6 n 6 n 6 4 n (n - 3) n (n - 3) n (n - 3) n (n - 3) and in Maple notation -n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2 )^n/(n-2)^4-11*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^6*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-2)^n/(n-2)^4+3*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3-1/2*n^11*(n-1)^n/(n -1)^4/(n^n)^2*(n-2)^n/(n-2)^4+11/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4 -47/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+97/2*n^8*(n-1)^n/(n-1)^4/(n^n )^2*(n-2)^n/(n-2)^4-48*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+18*n^6*(n-1) ^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+1/2*n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-5/2*n^ 10*((n-1)^n)^3/(n-1)^8/(n^n)^3+1/2/(n^n)*n^7*(n-3)^n/(n-3)^4-4/(n^n)*n^6*(n-3)^ n/(n-3)^4+23/2/(n^n)*n^5*(n-3)^n/(n-3)^4-14/(n^n)*n^4*(n-3)^n/(n-3)^4+6/(n^n)*n ^3*(n-3)^n/(n-3)^4-27*n^12*((n-1)^n)^4/(n-1)^12/(n^n)^4+1/4/(n^n)*n^10*(n-4)^n/ (n-4)^6-5/(n^n)*n^9*(n-4)^n/(n-4)^6+83/2/(n^n)*n^8*(n-4)^n/(n-4)^6-185/(n^n)*n^ 7*(n-4)^n/(n-4)^6+1909/4/(n^n)*n^6*(n-4)^n/(n-4)^6-710/(n^n)*n^5*(n-4)^n/(n-4)^ 6+561/(n^n)*n^4*(n-4)^n/(n-4)^6-180/(n^n)*n^3*(n-4)^n/(n-4)^6-3/4*n^16*((n-1)^n )^4/(n-1)^12/(n^n)^4+15/2*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^4-111/4*n^14*((n-1)^n )^4/(n-1)^12/(n^n)^4+45*n^13*((n-1)^n)^4/(n-1)^12/(n^n)^4+9*n^9*((n-1)^n)^3/(n-\ 1)^10/(n^n)^3+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n^n)*n^5+11/2*(n -2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3-145*n^8*(n-1)^n/(n-1)^4/(n^ n)^2*(n-3)^n/(n-3)^4+114*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-36*n^6*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-1/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^4+13/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+1/4*n^14*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-15/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n -2)^6+85/4*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-225/4*n^11*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6+137/2*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2 )^n/(n-2)^6-30*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-1/2*n^12*(n-1)^n /(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+17/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3 )^6-115/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+395/2*n^9*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^6-362*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+334*n ^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-120*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3 )^n/(n-3)^6+1/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2-11/4*n^13*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2+47/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^2-97/4*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2+24*n^10*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2-9*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 2)^n/(n-2)^2+n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-11*n^13*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+47*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/ (n-2)^4-97*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+96*n^10*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-36*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-\ 2)^4-69/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+191/2*n^9*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-3)^n/(n-3)^4+1/4*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^3-5/2*n^12*((n-1) ^n)^3/(n-1)^10/(n^n)^3+37/4*n^11*((n-1)^n)^3/(n-1)^10/(n^n)^3-15*n^10*((n-1)^n) ^3/(n-1)^10/(n^n)^3+1/4/(n^n)*n^9*(n-3)^n/(n-3)^6-17/4/(n^n)*n^8*(n-3)^n/(n-3)^ 6+115/4/(n^n)*n^7*(n-3)^n/(n-3)^6-395/4/(n^n)*n^6*(n-3)^n/(n-3)^6+181/(n^n)*n^5 *(n-3)^n/(n-3)^6-167/(n^n)*n^4*(n-3)^n/(n-3)^6+60/(n^n)*n^3*(n-3)^n/(n-3)^6 The, 2, 3, mixed moment of, X[1], and , X[3], is 9 n n 8 n n 7 n n n (n - 1) (n - 2) 6 n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ----------------------- + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n 3 12 n 4 6 n (n - 1) (n - 2) 3 n ((n - 1) ) 27 n ((n - 1) ) + ----------------------- + ---------------- - ------------------ 2 n 2 4 8 n 3 14 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 11 n n 10 n n 3 n (n - 1) (n - 2) 33 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 141 n (n - 1) (n - 2) 291 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 7 n n 6 n n 21 n 5 72 n (n - 1) (n - 2) 27 n (n - 1) (n - 2) n ((n - 1) ) - ----------------------- + ----------------------- + ----------------- 4 n 2 4 4 n 2 4 16 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 2 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 15 n ((n - 1) ) 93 n ((n - 1) ) 305 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 16 n 5 16 n 5 16 n 5 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 17 n 5 16 n 5 13 n 279 n ((n - 1) ) 270 n ((n - 1) ) n (n - 5) + ------------------- - ------------------- + ------------- 16 n 5 16 n 5 n 8 (n - 1) (n ) (n - 1) (n ) 8 n (n - 5) 12 n 11 n 10 n 37 n (n - 5) 75 n (n - 5) 2805 n (n - 5) - --------------- + --------------- - ----------------- n 8 n 8 n 8 8 n (n - 5) n (n - 5) 4 n (n - 5) 9 n 8 n 7 n 33453 n (n - 5) 132741 n (n - 5) 177145 n (n - 5) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 8 n (n - 5) 8 n (n - 5) 4 n (n - 5) 6 n 5 n 4 n 156635 n (n - 5) 87537 n (n - 5) 55584 n (n - 5) - ------------------ + ----------------- - ----------------- n 8 n 8 n 8 2 n (n - 5) n (n - 5) n (n - 5) 3 n 11 n 3 10 n 3 7 n 15120 n (n - 5) n ((n - 1) ) 5 n ((n - 1) ) n (n - 3) + ----------------- + ---------------- - ----------------- + ------------- n 8 8 n 3 8 n 3 n 4 n (n - 5) 2 (n - 1) (n ) 2 (n - 1) (n ) 2 n (n - 3) 6 n 5 n 4 n 3 n 4 n (n - 3) 23 n (n - 3) 14 n (n - 3) 6 n (n - 3) - ------------- + -------------- - -------------- + ------------- n 4 n 4 n 4 n 4 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 12 n 2 n 11 n 2 n 9987 n ((n - 1) ) (n - 3) 5943 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 3906 n ((n - 1) ) (n - 3) 1080 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 3) 33 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n n 14 n n 3 n (n - 1) (n - 4) 75 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 13 n n 12 n n 102 n (n - 1) (n - 4) 2535 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 19815 n (n - 1) (n - 4) 50475 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 9 n n 8 n n 41847 n (n - 1) (n - 4) 21735 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 7 n n 6 n n 6399 n (n - 1) (n - 4) 1620 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 4 15 n 5 9 n 2 n 27 n ((n - 1) ) 108 n ((n - 1) ) 81 n ((n - 1) ) (n - 2) - ------------------ + ------------------- - -------------------------- 12 n 4 16 n 5 8 n 3 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 12 n n 11 n n 309 n (n - 1) (n - 3) 402 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 10167 n (n - 1) (n - 3) 9987 n (n - 1) (n - 3) - --------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 8 n n 7 n n 5943 n (n - 1) (n - 3) 1953 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 540 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) - ------------------------ - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n 3 n 33 n (n - 1) (n - 3) 27 n ((n - 1) ) (n - 2) + ------------------------- + --------------------------- 4 n 2 6 12 n 4 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 3 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 567 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 4977 n ((n - 1) ) (n - 3) 1059 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1107 n ((n - 1) ) (n - 3) 648 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 162 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 27 n ((n - 1) ) (n - 3) 105 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 16 n 3 n 921 n ((n - 1) ) (n - 3) 555 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 3 4 8 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 5727 n ((n - 1) ) (n - 2) 1065 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 4 6 8 n 4 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1683 n ((n - 1) ) (n - 2) 270 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 8 n 4 6 8 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 19 n 3 n 249 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ---------------------------- - -------------------------- 8 n 4 6 8 n 4 6 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 18 n 3 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 309 n ((n - 1) ) (n - 3) + --------------------------- + ---------------------------- 8 n 4 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 804 n ((n - 1) ) (n - 3) 10167 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n 2 n 12 n n 567 n ((n - 1) ) (n - 2) 1869 n (n - 1) (n - 4) + ---------------------------- + -------------------------- 8 n 3 4 2 n 2 8 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 18501 n (n - 1) (n - 4) 58737 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 9 n n 8 n n 59671 n (n - 1) (n - 4) 37293 n (n - 1) (n - 4) - -------------------------- + -------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 10 n 25902 n (n - 1) (n - 4) 7560 n (n - 1) (n - 4) 3 n (n - 4) - -------------------------- + ------------------------- + -------------- 2 n 2 8 2 n 2 8 n 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 4 n (n - 4) 9 n 8 n 7 n 6 n 15 n (n - 4) 249 n (n - 4) 555 n (n - 4) 5727 n (n - 4) - -------------- + --------------- - --------------- + ---------------- n 6 n 6 n 6 n 6 n (n - 4) 2 n (n - 4) n (n - 4) 4 n (n - 4) 5 n 4 n 3 n 2130 n (n - 4) 1683 n (n - 4) 540 n (n - 4) - ---------------- + ---------------- - --------------- n 6 n 6 n 6 n (n - 4) n (n - 4) n (n - 4) 16 n 4 15 n 4 14 n 4 3 n ((n - 1) ) 15 n ((n - 1) ) 111 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 12 n 4 12 n 4 12 n 4 4 (n - 1) (n ) 2 (n - 1) (n ) 4 (n - 1) (n ) 13 n 4 18 n 4 17 n 4 45 n ((n - 1) ) n ((n - 1) ) 15 n ((n - 1) ) + ------------------ - ----------------- + ------------------ 12 n 4 14 n 4 14 n 4 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 93 n ((n - 1) ) 305 n ((n - 1) ) 279 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 14 n 4 14 n 4 14 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 4 (n - 1) (n ) 13 n 4 12 n 11 n 10 n 135 n ((n - 1) ) n (n - 4) 33 n (n - 4) 117 n (n - 4) + ------------------- + ------------- - --------------- + ---------------- 14 n 4 n 8 n 8 n 8 2 (n - 1) (n ) 8 n (n - 4) 8 n (n - 4) 2 n (n - 4) 9 n 8 n 7 n 1869 n (n - 4) 18501 n (n - 4) 58737 n (n - 4) - ---------------- + ----------------- - ----------------- n 8 n 8 n 8 4 n (n - 4) 8 n (n - 4) 8 n (n - 4) 6 n 5 n 4 n 59671 n (n - 4) 37293 n (n - 4) 12951 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 4 n (n - 4) 2 n (n - 4) n (n - 4) 3 n n 6 n 5 n 4 3780 n (n - 4) (n - 2) n 3 (n - 2) n 11 (n - 2) n - ---------------- + ------------- - ------------- + -------------- n 8 4 n 4 n 4 n n (n - 4) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 3 8 n n 7 n n 3 (n - 2) n 435 n (n - 1) (n - 3) 171 n (n - 1) (n - 3) - ------------- - ------------------------- + ------------------------ 4 n 4 n 2 4 4 n 2 4 (n - 2) n 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 54 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) - ----------------------- - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 14 n 2 n 39 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) + ------------------------- + -------------------------- 4 n 2 4 4 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 45 n ((n - 1) ) (n - 2) 255 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 675 n ((n - 1) ) (n - 2) 411 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 12 n n 90 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) - -------------------------- - ------------------------- 4 n 3 6 2 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 51 n (n - 1) (n - 3) 345 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 1185 n (n - 1) (n - 3) 1086 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 1002 n (n - 1) (n - 3) 360 n (n - 1) (n - 3) + ------------------------- - ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 144 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 207 n (n - 1) (n - 3) 573 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n n ((n - 1) ) (n - 3) 15 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 4 n 3 8 4 n 3 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 189 n ((n - 1) ) (n - 3) 651 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 10689 n ((n - 1) ) (n - 3) 13335 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 4 n 3 8 4 n 3 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 9833 n ((n - 1) ) (n - 3) 3897 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 15 n n 1260 n ((n - 1) ) (n - 3) n (n - 1) (n - 4) + ---------------------------- - ------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 9 n 33 n (n - 1) (n - 4) 117 n (n - 1) (n - 4) 3 n (n - 3) + ------------------------- - ------------------------- + ------------- 2 n 2 8 2 n 2 8 n 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 4 n (n - 3) 8 n 7 n 6 n 5 n 51 n (n - 3) 345 n (n - 3) 1185 n (n - 3) 543 n (n - 3) - -------------- + --------------- - ---------------- + --------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) n (n - 3) 4 n 3 n 19 n 3 n 501 n (n - 3) 180 n (n - 3) n ((n - 1) ) (n - 2) - --------------- + --------------- - -------------------------- n 6 n 6 12 n 4 2 n (n - 3) n (n - 3) 8 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 2 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 4 2 12 n 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 199 n ((n - 1) ) (n - 2) 863 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 12 n 4 2 12 n 4 2 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 549 n ((n - 1) ) (n - 2) 189 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 12 n 4 2 12 n 4 2 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) and in Maple notation -n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2 )^n/(n-2)^4-11*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^6*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-2)^n/(n-2)^4+3*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3-27*n^12*((n-1)^n)^4 /(n-1)^14/(n^n)^4-3/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+33/4*n^10*(n -1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-141/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n /(n-2)^4+291/4*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-72*n^7*(n-1)^n/(n-1) ^4/(n^n)^2*(n-2)^n/(n-2)^4+27*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+1/2*n ^21*((n-1)^n)^5/(n-1)^16/(n^n)^5-15/2*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^5+93/2*n^ 19*((n-1)^n)^5/(n-1)^16/(n^n)^5-305/2*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^5+279*n^ 17*((n-1)^n)^5/(n-1)^16/(n^n)^5-270*n^16*((n-1)^n)^5/(n-1)^16/(n^n)^5+1/8/(n^n) *n^13*(n-5)^n/(n-5)^8-37/8/(n^n)*n^12*(n-5)^n/(n-5)^8+75/(n^n)*n^11*(n-5)^n/(n-\ 5)^8-2805/4/(n^n)*n^10*(n-5)^n/(n-5)^8+33453/8/(n^n)*n^9*(n-5)^n/(n-5)^8-132741 /8/(n^n)*n^8*(n-5)^n/(n-5)^8+177145/4/(n^n)*n^7*(n-5)^n/(n-5)^8-156635/2/(n^n)* n^6*(n-5)^n/(n-5)^8+87537/(n^n)*n^5*(n-5)^n/(n-5)^8-55584/(n^n)*n^4*(n-5)^n/(n-\ 5)^8+15120/(n^n)*n^3*(n-5)^n/(n-5)^8+1/2*n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-5/2*n ^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+1/2/(n^n)*n^7*(n-3)^n/(n-3)^4-4/(n^n)*n^6*(n-3) ^n/(n-3)^4+23/2/(n^n)*n^5*(n-3)^n/(n-3)^4-14/(n^n)*n^4*(n-3)^n/(n-3)^4+6/(n^n)* n^3*(n-3)^n/(n-3)^4-9987/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+ 5943*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-3906*n^10*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-3)^n/(n-3)^6+1080*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3) ^6+3/4*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-33/2*n^16*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-3/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6 +75/8*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-102*n^13*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^6+2535/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-19815/ 8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+50475/8*n^10*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^6-41847/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+21735/ 2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-6399*n^7*(n-1)^n/(n-1)^4/(n^n)^2* (n-4)^n/(n-4)^6+1620*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-27*n^12*((n-1) ^n)^4/(n-1)^12/(n^n)^4+108*n^15*((n-1)^n)^5/(n-1)^16/(n^n)^5-81*n^9*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-309/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^6+402*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-10167/8*n^10*(n-1)^n/(n-1 )^4/(n^n)^2*(n-3)^n/(n-3)^6+9987/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-\ 5943/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1953*n^7*(n-1)^n/(n-1)^4/(n^ n)^2*(n-3)^n/(n-3)^6-540*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/8*n^14*( n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+33/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^6+27*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-3/4*n^19*((n-1)^ n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+12*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2 )^n/(n-2)^4-81*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+597/2*n^16*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-2589/4*n^15*((n-1)^n)^3/(n-1)^10/(n^n )^4*(n-2)^n/(n-2)^4+1647/2*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-\ 567*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+162*n^12*((n-1)^n)^3/(n-1 )^10/(n^n)^4*(n-2)^n/(n-2)^4+4977/8*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n -3)^4-1059*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+1107*n^11*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-648*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^4+162*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+3/8*n^17*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-27/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^ n/(n-3)^4+105/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-921/4*n^14*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+555/2*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4 *(n-2)^n/(n-2)^6-5727/8*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6+1065*n ^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6-1683/2*n^13*((n-1)^n)^3/(n-1)^8 /(n^n)^4*(n-2)^n/(n-2)^6+270*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6-\ 249/4*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6-3/8*n^19*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-2)^n/(n-2)^6+15/2*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2 )^6+309/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-804*n^14*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+10167/4*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3) ^n/(n-3)^6+3/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-6*n^15*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+81/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2) ^n/(n-2)^4-597/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+2589/8*n^12*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-1647/4*n^11*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-2)^n/(n-2)^4+567/2*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+1869 /2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-18501/4*n^11*(n-1)^n/(n-1)^2/(n ^n)^2*(n-4)^n/(n-4)^8+58737/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-\ 59671/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+37293*n^8*(n-1)^n/(n-1)^2/( n^n)^2*(n-4)^n/(n-4)^8-25902*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+7560*n ^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+3/4/(n^n)*n^10*(n-4)^n/(n-4)^6-15/(n ^n)*n^9*(n-4)^n/(n-4)^6+249/2/(n^n)*n^8*(n-4)^n/(n-4)^6-555/(n^n)*n^7*(n-4)^n/( n-4)^6+5727/4/(n^n)*n^6*(n-4)^n/(n-4)^6-2130/(n^n)*n^5*(n-4)^n/(n-4)^6+1683/(n^ n)*n^4*(n-4)^n/(n-4)^6-540/(n^n)*n^3*(n-4)^n/(n-4)^6-3/4*n^16*((n-1)^n)^4/(n-1) ^12/(n^n)^4+15/2*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^4-111/4*n^14*((n-1)^n)^4/(n-1) ^12/(n^n)^4+45*n^13*((n-1)^n)^4/(n-1)^12/(n^n)^4-1/8*n^18*((n-1)^n)^4/(n-1)^14/ (n^n)^4+15/8*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-93/8*n^16*((n-1)^n)^4/(n-1)^14/( n^n)^4+305/8*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-279/4*n^14*((n-1)^n)^4/(n-1)^14/ (n^n)^4+135/2*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/8/(n^n)*n^12*(n-4)^n/(n-4)^8-\ 33/8/(n^n)*n^11*(n-4)^n/(n-4)^8+117/2/(n^n)*n^10*(n-4)^n/(n-4)^8-1869/4/(n^n)*n ^9*(n-4)^n/(n-4)^8+18501/8/(n^n)*n^8*(n-4)^n/(n-4)^8-58737/8/(n^n)*n^7*(n-4)^n/ (n-4)^8+59671/4/(n^n)*n^6*(n-4)^n/(n-4)^8-37293/2/(n^n)*n^5*(n-4)^n/(n-4)^8+ 12951/(n^n)*n^4*(n-4)^n/(n-4)^8-3780/(n^n)*n^3*(n-4)^n/(n-4)^8+1/2*(n-2)^n/(n-2 )^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2 )^n/(n-2)^4/(n^n)*n^3-435/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+171*n^7 *(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-54*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^4-3/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+39/4*n^11*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-3)^n/(n-3)^4+3/4*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2) ^6-45/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6+255/4*n^12*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-675/4*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n /(n-2)^6+411/2*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-90*n^9*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-3/2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n -3)^6+51/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-345/2*n^10*(n-1)^n/(n-1 )^2/(n^n)^2*(n-3)^n/(n-3)^6+1185/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-\ 1086*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+1002*n^7*(n-1)^n/(n-1)^2/(n^n) ^2*(n-3)^n/(n-3)^6-360*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+3/2*n^14*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-33/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-2)^n/(n-2)^4+141/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-291/2*n^ 11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+144*n^10*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-2)^n/(n-2)^4-54*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-207/4*n ^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+573/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^4+1/8*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-15/4*n^16*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+189/4*n^15*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-3)^n/(n-3)^8-651/2*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+10689 /8*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-13335/4*n^12*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-3)^n/(n-3)^8+9833/2*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/( n-3)^8-3897*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+1260*n^9*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-1/4*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-\ 4)^8+33/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-117*n^13*(n-1)^n/(n-1)^2 /(n^n)^2*(n-4)^n/(n-4)^8+3/4/(n^n)*n^9*(n-3)^n/(n-3)^6-51/4/(n^n)*n^8*(n-3)^n/( n-3)^6+345/4/(n^n)*n^7*(n-3)^n/(n-3)^6-1185/4/(n^n)*n^6*(n-3)^n/(n-3)^6+543/(n^ n)*n^5*(n-3)^n/(n-3)^6-501/(n^n)*n^4*(n-3)^n/(n-3)^6+180/(n^n)*n^3*(n-3)^n/(n-3 )^6-1/8*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+2*n^18*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-2)^n/(n-2)^2-27/2*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/( n-2)^2+199/4*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-863/8*n^15*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+549/4*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^2-189/2*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2 The, 2, 4, mixed moment of, X[1], and , X[3], is 9 n n 8 n n 7 n n n (n - 1) (n - 2) 6 n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ----------------------- + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n 3 18 n 6 6 n (n - 1) (n - 2) 3 n ((n - 1) ) 405 n ((n - 1) ) + ----------------------- + ---------------- - ------------------- 2 n 2 4 8 n 3 20 n 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 16 n 3 n 15 n 3 n 7801 n ((n - 1) ) (n - 2) 2856 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 2646 n ((n - 1) ) (n - 2) 1404 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 324 n ((n - 1) ) (n - 2) 29955 n ((n - 1) ) (n - 3) + ---------------------------- + ------------------------------ 12 n 4 4 8 n 3 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 90105 n ((n - 1) ) (n - 3) 46161 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 31791 n ((n - 1) ) (n - 3) 28134 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 14418 n ((n - 1) ) (n - 3) 3240 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 3 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 483 n ((n - 1) ) (n - 3) 3351 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n n 16 n n n (n - 1) (n - 4) 19 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n n 14 n n 639 n (n - 1) (n - 4) 1569 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 5712 n ((n - 1) ) (n - 2) 5292 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 2808 n ((n - 1) ) (n - 2) 648 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 13513 n ((n - 1) ) (n - 3) 8358 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 6696 n ((n - 1) ) (n - 3) 3132 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 3 n 648 n ((n - 1) ) (n - 3) 59 n ((n - 1) ) (n - 3) - ---------------------------- - --------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 711 n ((n - 1) ) (n - 3) 5569 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 3 n 13 n n 14803 n ((n - 1) ) (n - 3) 39999 n (n - 1) (n - 4) + ------------------------------ - --------------------------- 12 n 4 4 4 n 2 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 12 n n 11 n n 86835 n (n - 1) (n - 4) 524033 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 10 n n 9 n n 274576 n (n - 1) (n - 4) 391380 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 360828 n (n - 1) (n - 4) 193212 n (n - 1) (n - 4) + --------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 22 n 3 n 45360 n (n - 1) (n - 4) n ((n - 1) ) (n - 3) + -------------------------- - -------------------------- 4 n 2 8 12 n 4 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 3) 21 n 3 n 19 n 4 n 23 n ((n - 1) ) (n - 3) 50475 n ((n - 1) ) (n - 2) + --------------------------- - ------------------------------ 12 n 4 4 12 n 5 6 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 41847 n ((n - 1) ) (n - 2) 21735 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 6399 n ((n - 1) ) (n - 2) 1620 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 24 n 4 n 19815 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ------------------------------ + -------------------------- 12 n 5 6 12 n 5 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 75 n ((n - 1) ) (n - 2) 102 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 5 6 12 n 5 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 18 n 3 n 2535 n ((n - 1) ) (n - 2) 29955 n ((n - 1) ) (n - 3) - ----------------------------- - ------------------------------ 12 n 5 6 10 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 90105 n ((n - 1) ) (n - 3) 46161 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 63582 n ((n - 1) ) (n - 3) 56268 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 28836 n ((n - 1) ) (n - 3) 6480 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 3 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 10 n 4 6 10 n 4 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 483 n ((n - 1) ) (n - 3) 3351 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 1209 n ((n - 1) ) (n - 4) 1200 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 3 n ((n - 1) ) (n - 4) 45 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 50061 n ((n - 1) ) (n - 4) 89985 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 454959 n ((n - 1) ) (n - 4) 202065 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 123507 n ((n - 1) ) (n - 4) 98820 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 46494 n ((n - 1) ) (n - 4) 9720 n ((n - 1) ) (n - 4) + ------------------------------ - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 3) 35 n ((n - 1) ) (n - 3) - ------------------------- + --------------------------- 8 n 4 8 8 n 4 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 267 n ((n - 1) ) (n - 3) 2337 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 4 8 8 n 4 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 25977 n ((n - 1) ) (n - 3) 95739 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 4 8 8 n 4 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 59204 n ((n - 1) ) (n - 3) 96964 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 100488 n ((n - 1) ) (n - 3) 59364 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 2 n 15120 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------- 8 n 4 8 6 n 3 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 19 n ((n - 1) ) (n - 4) 639 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 3138 n ((n - 1) ) (n - 4) 39999 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 86835 n ((n - 1) ) (n - 4) 524033 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 549152 n ((n - 1) ) (n - 4) 782760 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 721656 n ((n - 1) ) (n - 4) 386424 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 90720 n ((n - 1) ) (n - 4) 791 n (n - 1) (n - 5) - ----------------------------- - ------------------------- 6 n 3 8 4 n 2 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 15 n n 14 n n 2208 n (n - 1) (n - 5) 65103 n (n - 1) (n - 5) + -------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 13 n n 12 n n 166833 n (n - 1) (n - 5) 1218713 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 11 n n 10 n n 798609 n (n - 1) (n - 5) 1489684 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 1926348 n (n - 1) (n - 5) 1636524 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 818208 n (n - 1) (n - 5) 181440 n (n - 1) (n - 5) + --------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 17 n n n (n - 1) (n - 5) 21 n (n - 1) (n - 5) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 4) 25 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 1101 n ((n - 1) ) (n - 4) 7035 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 115743 n ((n - 1) ) (n - 4) 321195 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 2449943 n ((n - 1) ) (n - 4) 3203525 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 2808039 n ((n - 1) ) (n - 4) 1566495 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 4 n 3 10 4 n 3 10 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 498366 n ((n - 1) ) (n - 4) 136080 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 4 n 3 10 4 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 17 n n n (n - 1) (n - 5) 27 n (n - 1) (n - 5) - -------------------------- + -------------------------- 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n n 15 n n 1301 n (n - 1) (n - 5) 9237 n (n - 1) (n - 5) - -------------------------- + -------------------------- 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 14 n n 13 n n 172023 n (n - 1) (n - 5) 552681 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 12 n n 11 n n 5019503 n (n - 1) (n - 5) 8103411 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 10 n n 9 n n 9215089 n (n - 1) (n - 5) 7182573 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 2 n 2 10 2 n 2 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 7262712 n (n - 1) (n - 5) 4259088 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 22 n 4 n 1088640 n (n - 1) (n - 5) 97 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 2 n 2 10 16 n 5 2 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 517 n ((n - 1) ) (n - 2) 351 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 16 n 5 2 16 n 5 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 81 n ((n - 1) ) (n - 2) 3501 n ((n - 1) ) (n - 2) - --------------------------- + ----------------------------- 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 7801 n ((n - 1) ) (n - 2) 714 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 24 n 4 n 1323 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 16 n 5 2 16 n 5 2 2 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 23 n 4 n 24 n 4 n 21 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 16 n 5 2 14 n 5 4 16 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 21 n ((n - 1) ) (n - 2) 97 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 14 n 5 4 14 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 517 n ((n - 1) ) (n - 2) 3501 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 4 n 11 n n 7801 n ((n - 1) ) (n - 2) n (n - 1) (n - 2) - ----------------------------- - ----------------------- 14 n 5 4 4 n 2 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 11 n (n - 1) (n - 2) 47 n (n - 1) (n - 2) + ------------------------ - ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 97 n (n - 1) (n - 2) 96 n (n - 1) (n - 2) + ----------------------- - ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 21 n 5 20 n 5 36 n (n - 1) (n - 2) 3 n ((n - 1) ) 45 n ((n - 1) ) + ----------------------- + ----------------- - ------------------ 4 n 2 4 16 n 5 16 n 5 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) 4 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 279 n ((n - 1) ) 915 n ((n - 1) ) 837 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 16 n 5 16 n 5 16 n 5 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 16 n 5 13 n 12 n 405 n ((n - 1) ) 3 n (n - 5) 111 n (n - 5) - ------------------- + -------------- - ---------------- 16 n 5 n 8 n 8 (n - 1) (n ) 4 n (n - 5) 4 n (n - 5) 11 n 10 n 9 n 450 n (n - 5) 8415 n (n - 5) 100359 n (n - 5) + ---------------- - ----------------- + ------------------ n 8 n 8 n 8 n (n - 5) 2 n (n - 5) 4 n (n - 5) 8 n 7 n 6 n 398223 n (n - 5) 531435 n (n - 5) 469905 n (n - 5) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 4 n (n - 5) 2 n (n - 5) n (n - 5) 5 n 4 n 3 n 525222 n (n - 5) 333504 n (n - 5) 90720 n (n - 5) + ------------------ - ------------------ + ----------------- n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 11 n 3 10 n 3 7 n 6 n n ((n - 1) ) 5 n ((n - 1) ) n (n - 3) 4 n (n - 3) + ---------------- - ----------------- + ------------- - ------------- 8 n 3 8 n 3 n 4 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) 2 n (n - 3) n (n - 3) 5 n 4 n 3 n 23 n (n - 3) 14 n (n - 3) 6 n (n - 3) + -------------- - -------------- + ------------- n 4 n 4 n 4 2 n (n - 3) n (n - 3) n (n - 3) 12 n 2 n 11 n 2 n 19974 n ((n - 1) ) (n - 3) 23772 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 15624 n ((n - 1) ) (n - 3) 4320 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 3) 66 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 3 n (n - 1) (n - 4) 75 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 408 n (n - 1) (n - 4) 2535 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 19815 n (n - 1) (n - 4) 50475 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 9 n n 8 n n 41847 n (n - 1) (n - 4) 43470 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 25596 n (n - 1) (n - 4) 6480 n (n - 1) (n - 4) - -------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 4 15 n 5 9 n 2 n 36 n ((n - 1) ) 162 n ((n - 1) ) 162 n ((n - 1) ) (n - 2) - ------------------ + ------------------- - --------------------------- 12 n 4 16 n 5 8 n 3 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 12 n n 11 n n 309 n (n - 1) (n - 3) 1608 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 10167 n (n - 1) (n - 3) 9987 n (n - 1) (n - 3) - --------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 11886 n (n - 1) (n - 3) 7812 n (n - 1) (n - 3) - -------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 2160 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) - ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 19 n 3 n 33 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) + ------------------------ - -------------------------- 4 n 2 6 10 n 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 24 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 597 n ((n - 1) ) (n - 2) 2589 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 1647 n ((n - 1) ) (n - 2) 1134 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n 2 n 324 n ((n - 1) ) (n - 2) 4977 n ((n - 1) ) (n - 3) + ---------------------------- + ----------------------------- 10 n 4 4 8 n 3 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 2118 n ((n - 1) ) (n - 3) 2214 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1296 n ((n - 1) ) (n - 3) 324 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 3) 27 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 105 n ((n - 1) ) (n - 3) 921 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1110 n ((n - 1) ) (n - 2) 5727 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 4260 n ((n - 1) ) (n - 2) 3366 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 1080 n ((n - 1) ) (n - 2) 249 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 3 n ((n - 1) ) (n - 2) 30 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 4 6 8 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 618 n ((n - 1) ) (n - 3) 3216 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 15 n 16 n 10167 n ((n - 1) ) (n - 3) 59 n (n - 6) n (n - 6) + ------------------------------ - --------------- + --------------- 6 n 3 6 n 10 n 10 (n - 1) (n ) (n - 3) 16 n (n - 6) 16 n (n - 6) 14 n 12 n 13 n 1571 n (n - 6) 264393 n (n - 6) 24979 n (n - 6) + ----------------- + ------------------- - ------------------ n 10 n 10 n 10 16 n (n - 6) 16 n (n - 6) 16 n (n - 6) 11 n 10 n 6 n 1965477 n (n - 6) 10546313 n (n - 6) 43175577 n (n - 6) - -------------------- + --------------------- + -------------------- n 10 n 10 n 10 16 n (n - 6) 16 n (n - 6) 2 n (n - 6) 5 n 8 n 9 n 20286324 n (n - 6) 58947233 n (n - 6) 41304337 n (n - 6) - -------------------- + -------------------- - -------------------- n 10 n 10 n 10 n (n - 6) 8 n (n - 6) 16 n (n - 6) 4 n 7 n 3 n 11192040 n (n - 6) 60440591 n (n - 6) 2721600 n (n - 6) + -------------------- - -------------------- - ------------------- n 10 n 10 n 10 n (n - 6) 4 n (n - 6) n (n - 6) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 12 n n 567 n ((n - 1) ) (n - 2) 5607 n (n - 1) (n - 4) + ---------------------------- + -------------------------- 8 n 3 4 2 n 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 11 n n 10 n n 55503 n (n - 1) (n - 4) 176211 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 9 n n 8 n n 179013 n (n - 1) (n - 4) 223758 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 155412 n (n - 1) (n - 4) 45360 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 9 n 8 n 7 n 7 n (n - 4) 35 n (n - 4) 581 n (n - 4) 1295 n (n - 4) + -------------- - -------------- + --------------- - ---------------- n 6 n 6 n 6 n 6 4 n (n - 4) n (n - 4) 2 n (n - 4) n (n - 4) 6 n 5 n 4 n 13363 n (n - 4) 4970 n (n - 4) 3927 n (n - 4) + ----------------- - ---------------- + ---------------- n 6 n 6 n 6 4 n (n - 4) n (n - 4) n (n - 4) 3 n 16 n 4 15 n 4 1260 n (n - 4) n ((n - 1) ) 10 n ((n - 1) ) - ---------------- - --------------- + ------------------ n 6 12 n 4 12 n 4 n (n - 4) (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 23 n 5 37 n ((n - 1) ) 60 n ((n - 1) ) n ((n - 1) ) - ------------------ + ------------------ + ------------------ 12 n 4 12 n 4 18 n 5 (n - 1) (n ) (n - 1) (n ) 16 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 5 n ((n - 1) ) 87 n ((n - 1) ) 215 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 18 n 5 18 n 5 18 n 5 4 (n - 1) (n ) 8 (n - 1) (n ) 4 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 2641 n ((n - 1) ) 645 n ((n - 1) ) 783 n ((n - 1) ) + -------------------- - ------------------- + ------------------- 18 n 5 18 n 5 18 n 5 16 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 16 n 5 12 n 11 n 270 n ((n - 1) ) 3 n (n - 4) 99 n (n - 4) - ------------------- + -------------- - --------------- 18 n 5 n 8 n 8 (n - 1) (n ) 4 n (n - 4) 4 n (n - 4) 10 n 9 n 8 n 351 n (n - 4) 5607 n (n - 4) 55503 n (n - 4) + ---------------- - ---------------- + ----------------- n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 7 n 6 n 5 n 176211 n (n - 4) 179013 n (n - 4) 111879 n (n - 4) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 4 n (n - 4) 2 n (n - 4) n (n - 4) 4 n 3 n 15 n 5 77706 n (n - 4) 22680 n (n - 4) 81 n ((n - 1) ) + ----------------- - ----------------- + ------------------ n 8 n 8 18 n 5 n (n - 4) n (n - 4) (n - 1) (n ) n 6 n 5 n 4 n 3 (n - 2) n 3 (n - 2) n 11 (n - 2) n 3 (n - 2) n + ------------- - ------------- + -------------- - ------------- 4 n 4 n 4 n 4 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n 15 n 14 n 13 n n (n - 5) 27 n (n - 5) 1301 n (n - 5) + --------------- - --------------- + ----------------- n 10 n 10 n 10 16 n (n - 5) 8 n (n - 5) 16 n (n - 5) 12 n 11 n 10 n 9237 n (n - 5) 172023 n (n - 5) 552681 n (n - 5) - ----------------- + ------------------- - ------------------- n 10 n 10 n 10 8 n (n - 5) 16 n (n - 5) 8 n (n - 5) 9 n 8 n 7 n 5019503 n (n - 5) 8103411 n (n - 5) 9215089 n (n - 5) + ------------------- - ------------------- + ------------------- n 10 n 10 n 10 16 n (n - 5) 8 n (n - 5) 4 n (n - 5) 6 n 5 n 4 n 7182573 n (n - 5) 3631356 n (n - 5) 2129544 n (n - 5) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 2 n (n - 5) n (n - 5) n (n - 5) 3 n 8 n n 7 n n 544320 n (n - 5) 290 n (n - 1) (n - 3) 228 n (n - 1) (n - 3) + ------------------ - ------------------------ + ------------------------ n 10 4 n 2 4 4 n 2 4 n (n - 5) (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 72 n (n - 1) (n - 3) n (n - 1) (n - 3) - ----------------------- - ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 14 n 2 n 13 n (n - 1) (n - 3) 7 n ((n - 1) ) (n - 2) + ------------------------ + -------------------------- 4 n 2 4 4 n 3 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 105 n ((n - 1) ) (n - 2) 595 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1575 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 12 n n 210 n ((n - 1) ) (n - 2) 7 n (n - 1) (n - 3) - --------------------------- - ------------------------- 4 n 3 6 2 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 119 n (n - 1) (n - 3) 805 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 2765 n (n - 1) (n - 3) 2534 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2338 n (n - 1) (n - 3) 840 n (n - 1) (n - 3) + ------------------------- - ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 2 n ((n - 1) ) (n - 2) 22 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 94 n ((n - 1) ) (n - 2) 194 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 192 n ((n - 1) ) (n - 2) 72 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 26 n 6 69 n (n - 1) (n - 3) 191 n (n - 1) (n - 3) 5 n ((n - 1) ) - ------------------------ + ------------------------ - ------------------ 4 n 2 4 4 n 2 4 20 n 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 (n - 1) (n ) 25 n 6 24 n 6 23 n 6 25 n ((n - 1) ) 435 n ((n - 1) ) 1075 n ((n - 1) ) + ------------------ - ------------------- + -------------------- 20 n 6 20 n 6 20 n 6 4 (n - 1) (n ) 8 (n - 1) (n ) 4 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 13205 n ((n - 1) ) 3225 n ((n - 1) ) 3915 n ((n - 1) ) - --------------------- + -------------------- - -------------------- 20 n 6 20 n 6 20 n 6 16 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 19 n 6 17 n 2 n 1350 n ((n - 1) ) 3 n ((n - 1) ) (n - 3) + -------------------- + -------------------------- 20 n 6 4 n 3 8 (n - 1) (n ) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 45 n ((n - 1) ) (n - 3) 567 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1953 n ((n - 1) ) (n - 3) 32067 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 40005 n ((n - 1) ) (n - 3) 29499 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 23382 n ((n - 1) ) (n - 3) 7560 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 3 n (n - 1) (n - 4) 99 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 9 n 8 n 702 n (n - 1) (n - 4) 7 n (n - 3) 119 n (n - 3) - ------------------------- + ------------- - --------------- 2 n 2 8 n 6 n 6 (n - 1) (n ) (n - 4) 4 n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 4 n 805 n (n - 3) 2765 n (n - 3) 1267 n (n - 3) 1169 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) n (n - 3) n (n - 3) 3 n 21 n 3 n 420 n (n - 3) n ((n - 1) ) (n - 2) + --------------- - -------------------------- n 6 12 n 4 4 n (n - 3) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 21 n ((n - 1) ) (n - 2) 97 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 517 n ((n - 1) ) (n - 2) 3501 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) and in Maple notation -n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2 )^n/(n-2)^4-11*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+6*n^6*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-2)^n/(n-2)^4+3*n^9*((n-1)^n)^3/(n-1)^8/(n^n)^3-405*n^18*((n-1)^n)^ 6/(n-1)^20/(n^n)^6+7801/4*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-\ 2856*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+2646*n^14*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-2)^n/(n-2)^4-1404*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/( n-2)^4+324*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+29955/8*n^15*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-90105/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-3)^n/(n-3)^6+46161/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-31791 *n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+28134*n^11*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-3)^n/(n-3)^6-14418*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^ 6+3240*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+3/8*n^19*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-3)^n/(n-3)^6-81/8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^6+483/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-3351/4*n^16*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-1/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^8+19/2*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-639/4*n^15*(n-1)^n/(n-1 )^4/(n^n)^2*(n-4)^n/(n-4)^8+1569*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+ 5712*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-5292*n^17*((n-1)^n)^4/(n -1)^14/(n^n)^5*(n-2)^n/(n-2)^4+2808*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/( n-2)^4-648*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-13513/2*n^16*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4+8358*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-3)^n/(n-3)^4-6696*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4+3132*n^ 13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4-648*n^12*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-3)^n/(n-3)^4-59*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4+711 /2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4-5569/4*n^18*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-3)^n/(n-3)^4+14803/4*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^ n/(n-3)^4-39999/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+86835/2*n^12*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-524033/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4 )^n/(n-4)^8+274576*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-391380*n^9*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+360828*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/ (n-4)^8-193212*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+45360*n^6*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^8-1/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-\ 3)^4+23/4*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4-50475/8*n^19*((n-1) ^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+41847/4*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^ 5*(n-2)^n/(n-2)^6-21735/2*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+ 6399*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6-1620*n^15*((n-1)^n)^4/(n -1)^12/(n^n)^5*(n-2)^n/(n-2)^6+19815/8*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^ n/(n-2)^6+3/8*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6-75/8*n^23*((n-1 )^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+102*n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*( n-2)^n/(n-2)^6-2535/4*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6-29955/4 *n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+90105/4*n^17*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-3)^n/(n-3)^6-46161*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/( n-3)^6+63582*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-56268*n^14*((n-1 )^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+28836*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4 *(n-3)^n/(n-3)^6-6480*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-3/4*n^ 22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+81/4*n^21*((n-1)^n)^3/(n-1)^10/ (n^n)^4*(n-3)^n/(n-3)^6-483/2*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6 +3351/2*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+1209/8*n^18*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-1200*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^ n/(n-4)^6+3/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-45/4*n^19*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+50061/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-4)^n/(n-4)^6-89985/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+454959 /8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-202065/2*n^13*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+123507*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/ (n-4)^6-98820*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+46494*n^10*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-9720*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 4)^n/(n-4)^6-1/4*n^22*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^8+35/4*n^21*((n -1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^8-267/2*n^20*((n-1)^n)^3/(n-1)^8/(n^n)^4 *(n-3)^n/(n-3)^8+2337/2*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^8-25977/ 4*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^8+95739/4*n^17*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-3)^n/(n-3)^8-59204*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-\ 3)^8+96964*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^8-100488*n^14*((n-1)^ n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^8+59364*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-\ 3)^n/(n-3)^8-15120*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^8+1/2*n^20*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-19*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-4)^n/(n-4)^8+639/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-3138*n^17 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+39999/2*n^16*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^8-86835*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+ 524033/2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-549152*n^13*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+782760*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4 )^n/(n-4)^8-721656*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+386424*n^10 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-90720*n^9*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-4)^n/(n-4)^8-791/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+2208*n^ 15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-65103/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2 *(n-5)^n/(n-5)^8+166833/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-1218713/ 4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+798609*n^11*(n-1)^n/(n-1)^4/(n^n )^2*(n-5)^n/(n-5)^8-1489684*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+ 1926348*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-1636524*n^8*(n-1)^n/(n-1)^4 /(n^n)^2*(n-5)^n/(n-5)^8+818208*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-\ 181440*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-1/4*n^18*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^8+21/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+1/16*n^ 20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^10-25/8*n^19*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-4)^n/(n-4)^10+1101/16*n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^ 10-7035/8*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^10+115743/16*n^16*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^10-321195/8*n^15*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-4)^n/(n-4)^10+2449943/16*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^ 10-3203525/8*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^10+2808039/4*n^12*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^10-1566495/2*n^11*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-4)^n/(n-4)^10+498366*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^ 10-136080*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^10-1/8*n^18*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-5)^n/(n-5)^10+27/4*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^ 10-1301/8*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+9237/4*n^15*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-5)^n/(n-5)^10-172023/8*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-\ 5)^10+552681/4*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-5019503/8*n^12*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+8103411/4*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n -5)^n/(n-5)^10-9215089/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+7182573* n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-7262712*n^8*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-5)^n/(n-5)^10+4259088*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-1088640 *n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+97/8*n^22*((n-1)^n)^4/(n-1)^16/(n ^n)^5*(n-2)^n/(n-2)^2-517/8*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+ 351*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-81*n^15*((n-1)^n)^4/(n-1) ^16/(n^n)^5*(n-2)^n/(n-2)^2+3501/16*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/( n-2)^2-7801/16*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+714*n^18*((n-1 )^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-1323/2*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^ 5*(n-2)^n/(n-2)^2+1/16*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-21/16* n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+1/2*n^24*((n-1)^n)^4/(n-1)^14 /(n^n)^5*(n-2)^n/(n-2)^4-21/2*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4 +97*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-517*n^21*((n-1)^n)^4/(n-1 )^14/(n^n)^5*(n-2)^n/(n-2)^4+3501/2*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/( n-2)^4-7801/2*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-n^11*(n-1)^n/(n -1)^4/(n^n)^2*(n-2)^n/(n-2)^4+11*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-\ 47*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+97*n^8*(n-1)^n/(n-1)^4/(n^n)^2*( n-2)^n/(n-2)^4-96*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+36*n^6*(n-1)^n/(n -1)^4/(n^n)^2*(n-2)^n/(n-2)^4+3/4*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^5-45/4*n^20*( (n-1)^n)^5/(n-1)^16/(n^n)^5+279/4*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^5-915/4*n^18* ((n-1)^n)^5/(n-1)^16/(n^n)^5+837/2*n^17*((n-1)^n)^5/(n-1)^16/(n^n)^5-405*n^16*( (n-1)^n)^5/(n-1)^16/(n^n)^5+3/4/(n^n)*n^13*(n-5)^n/(n-5)^8-111/4/(n^n)*n^12*(n-\ 5)^n/(n-5)^8+450/(n^n)*n^11*(n-5)^n/(n-5)^8-8415/2/(n^n)*n^10*(n-5)^n/(n-5)^8+ 100359/4/(n^n)*n^9*(n-5)^n/(n-5)^8-398223/4/(n^n)*n^8*(n-5)^n/(n-5)^8+531435/2/ (n^n)*n^7*(n-5)^n/(n-5)^8-469905/(n^n)*n^6*(n-5)^n/(n-5)^8+525222/(n^n)*n^5*(n-\ 5)^n/(n-5)^8-333504/(n^n)*n^4*(n-5)^n/(n-5)^8+90720/(n^n)*n^3*(n-5)^n/(n-5)^8+1 /2*n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-5/2*n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+1/2/(n ^n)*n^7*(n-3)^n/(n-3)^4-4/(n^n)*n^6*(n-3)^n/(n-3)^4+23/2/(n^n)*n^5*(n-3)^n/(n-3 )^4-14/(n^n)*n^4*(n-3)^n/(n-3)^4+6/(n^n)*n^3*(n-3)^n/(n-3)^4-19974*n^12*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+23772*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^6-15624*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+4320*n^9*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+3*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -3)^n/(n-3)^6-66*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-3/2*n^15*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+75/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^6-408*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+2535*n^12*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^6-19815/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6 +50475/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-41847*n^9*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^6+43470*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-\ 25596*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+6480*n^6*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^6-36*n^12*((n-1)^n)^4/(n-1)^12/(n^n)^4+162*n^15*((n-1)^n)^5/( n-1)^16/(n^n)^5-162*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-309*n^12*(n -1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1608*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^6-10167/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+9987*n^9*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-11886*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3) ^6+7812*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-2160*n^6*(n-1)^n/(n-1)^4/(n ^n)^2*(n-3)^n/(n-3)^6-3/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+33*n^13* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/2*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*( n-2)^n/(n-2)^4+24*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-162*n^17*(( n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+597*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^ 4*(n-2)^n/(n-2)^4-2589/2*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+1647 *n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-1134*n^13*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-2)^n/(n-2)^4+324*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^ 4+4977/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-2118*n^12*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+2214*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/ (n-3)^4-1296*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+324*n^9*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+3/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^4-27/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+105*n^15*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-921/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^4+1110*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6-5727/2*n^15* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6+4260*n^14*((n-1)^n)^3/(n-1)^8/(n^n) ^4*(n-2)^n/(n-2)^6-3366*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6+1080*n ^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6-249*n^17*((n-1)^n)^3/(n-1)^8/(n ^n)^4*(n-2)^n/(n-2)^6-3/2*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6+30*n ^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^6+618*n^15*((n-1)^n)^2/(n-1)^6/(n ^n)^3*(n-3)^n/(n-3)^6-3216*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+ 10167*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-59/16/(n^n)*n^15*(n-6)^n /(n-6)^10+1/16/(n^n)*n^16*(n-6)^n/(n-6)^10+1571/16/(n^n)*n^14*(n-6)^n/(n-6)^10+ 264393/16/(n^n)*n^12*(n-6)^n/(n-6)^10-24979/16/(n^n)*n^13*(n-6)^n/(n-6)^10-\ 1965477/16/(n^n)*n^11*(n-6)^n/(n-6)^10+10546313/16/(n^n)*n^10*(n-6)^n/(n-6)^10+ 43175577/2/(n^n)*n^6*(n-6)^n/(n-6)^10-20286324/(n^n)*n^5*(n-6)^n/(n-6)^10+ 58947233/8/(n^n)*n^8*(n-6)^n/(n-6)^10-41304337/16/(n^n)*n^9*(n-6)^n/(n-6)^10+ 11192040/(n^n)*n^4*(n-6)^n/(n-6)^10-60440591/4/(n^n)*n^7*(n-6)^n/(n-6)^10-\ 2721600/(n^n)*n^3*(n-6)^n/(n-6)^10+3/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n /(n-2)^4-12*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+81*n^14*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^4+2589/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-1647/2*n^11*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+567*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-2)^n/(n-2)^4+5607*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-55503/2*n^11 *(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+176211/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2* (n-4)^n/(n-4)^8-179013*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+223758*n^8*( n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-155412*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4) ^n/(n-4)^8+45360*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+7/4/(n^n)*n^10*(n-\ 4)^n/(n-4)^6-35/(n^n)*n^9*(n-4)^n/(n-4)^6+581/2/(n^n)*n^8*(n-4)^n/(n-4)^6-1295/ (n^n)*n^7*(n-4)^n/(n-4)^6+13363/4/(n^n)*n^6*(n-4)^n/(n-4)^6-4970/(n^n)*n^5*(n-4 )^n/(n-4)^6+3927/(n^n)*n^4*(n-4)^n/(n-4)^6-1260/(n^n)*n^3*(n-4)^n/(n-4)^6-n^16* ((n-1)^n)^4/(n-1)^12/(n^n)^4+10*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^4-37*n^14*((n-1 )^n)^4/(n-1)^12/(n^n)^4+60*n^13*((n-1)^n)^4/(n-1)^12/(n^n)^4+1/16*n^23*((n-1)^n )^5/(n-1)^18/(n^n)^5-5/4*n^22*((n-1)^n)^5/(n-1)^18/(n^n)^5+87/8*n^21*((n-1)^n)^ 5/(n-1)^18/(n^n)^5-215/4*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^5+2641/16*n^19*((n-1)^ n)^5/(n-1)^18/(n^n)^5-645/2*n^18*((n-1)^n)^5/(n-1)^18/(n^n)^5+783/2*n^17*((n-1) ^n)^5/(n-1)^18/(n^n)^5-270*n^16*((n-1)^n)^5/(n-1)^18/(n^n)^5+3/4/(n^n)*n^12*(n-\ 4)^n/(n-4)^8-99/4/(n^n)*n^11*(n-4)^n/(n-4)^8+351/(n^n)*n^10*(n-4)^n/(n-4)^8-\ 5607/2/(n^n)*n^9*(n-4)^n/(n-4)^8+55503/4/(n^n)*n^8*(n-4)^n/(n-4)^8-176211/4/(n^ n)*n^7*(n-4)^n/(n-4)^8+179013/2/(n^n)*n^6*(n-4)^n/(n-4)^8-111879/(n^n)*n^5*(n-4 )^n/(n-4)^8+77706/(n^n)*n^4*(n-4)^n/(n-4)^8-22680/(n^n)*n^3*(n-4)^n/(n-4)^8+81* n^15*((n-1)^n)^5/(n-1)^18/(n^n)^5+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2) ^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3+1/16/(n ^n)*n^15*(n-5)^n/(n-5)^10-27/8/(n^n)*n^14*(n-5)^n/(n-5)^10+1301/16/(n^n)*n^13*( n-5)^n/(n-5)^10-9237/8/(n^n)*n^12*(n-5)^n/(n-5)^10+172023/16/(n^n)*n^11*(n-5)^n /(n-5)^10-552681/8/(n^n)*n^10*(n-5)^n/(n-5)^10+5019503/16/(n^n)*n^9*(n-5)^n/(n-\ 5)^10-8103411/8/(n^n)*n^8*(n-5)^n/(n-5)^10+9215089/4/(n^n)*n^7*(n-5)^n/(n-5)^10 -7182573/2/(n^n)*n^6*(n-5)^n/(n-5)^10+3631356/(n^n)*n^5*(n-5)^n/(n-5)^10-\ 2129544/(n^n)*n^4*(n-5)^n/(n-5)^10+544320/(n^n)*n^3*(n-5)^n/(n-5)^10-290*n^8*(n -1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+228*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^4-72*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-n^12*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^4+13*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+7/4*n^14*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-105/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^ 3*(n-2)^n/(n-2)^6+595/4*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-1575/4 *n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6+959/2*n^10*((n-1)^n)^2/(n-1)^ 4/(n^n)^3*(n-2)^n/(n-2)^6-210*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^6-7 /2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+119/2*n^11*(n-1)^n/(n-1)^2/(n^n )^2*(n-3)^n/(n-3)^6-805/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+2765/2*n ^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-2534*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 3)^n/(n-3)^6+2338*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-840*n^6*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2) ^4-22*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+94*n^12*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-2)^n/(n-2)^4-194*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^ 4+192*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-72*n^9*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-2)^n/(n-2)^4-69*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+191* n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-5/16*n^26*((n-1)^n)^6/(n-1)^20/(n^n )^6+25/4*n^25*((n-1)^n)^6/(n-1)^20/(n^n)^6-435/8*n^24*((n-1)^n)^6/(n-1)^20/(n^n )^6+1075/4*n^23*((n-1)^n)^6/(n-1)^20/(n^n)^6-13205/16*n^22*((n-1)^n)^6/(n-1)^20 /(n^n)^6+3225/2*n^21*((n-1)^n)^6/(n-1)^20/(n^n)^6-3915/2*n^20*((n-1)^n)^6/(n-1) ^20/(n^n)^6+1350*n^19*((n-1)^n)^6/(n-1)^20/(n^n)^6+3/4*n^17*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-3)^n/(n-3)^8-45/2*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+ 567/2*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-1953*n^14*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-3)^n/(n-3)^8+32067/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/ (n-3)^8-40005/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+29499*n^11*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-23382*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3 *(n-3)^n/(n-3)^8+7560*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-3/2*n^15* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+99/2*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4) ^n/(n-4)^8-702*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+7/4/(n^n)*n^9*(n-3) ^n/(n-3)^6-119/4/(n^n)*n^8*(n-3)^n/(n-3)^6+805/4/(n^n)*n^7*(n-3)^n/(n-3)^6-2765 /4/(n^n)*n^6*(n-3)^n/(n-3)^6+1267/(n^n)*n^5*(n-3)^n/(n-3)^6-1169/(n^n)*n^4*(n-3 )^n/(n-3)^6+420/(n^n)*n^3*(n-3)^n/(n-3)^6-1/4*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^4+21/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-97/2*n^ 19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+517/2*n^18*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-2)^n/(n-2)^4-3501/4*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2) ^4 The, 3, 1, mixed moment of, X[1], and , X[3], is 9 n n 8 n n 3 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------------- + ----------------------- 4 n 2 2 4 n 2 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 33 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------------- + ----------------------- 4 n 2 2 4 n 2 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 3 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n 3 33 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) 9 n ((n - 1) ) - ------------------------- + ----------------------- + ---------------- 2 n 2 4 2 n 2 4 8 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 10 n n 9 n n 3 n (n - 1) (n - 3) 12 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 69 n (n - 1) (n - 3) 42 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 2 n 18 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) - ----------------------- + -------------------------- 2 n 2 4 6 n 3 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 9 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 9 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ------------------------- - ------------------------- 6 n 3 2 4 n 2 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 4 n (n - 1) (n - 3) 23 n (n - 1) (n - 3) + ----------------------- - ------------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 7 n n 6 n n 14 n (n - 1) (n - 3) 6 n (n - 1) (n - 3) + ----------------------- - ----------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 3 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 4 n 3 4 4 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 33 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + --------------------------- - ------------------------- 4 n 3 4 4 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 3 10 n 3 7 n 6 n 3 n ((n - 1) ) 15 n ((n - 1) ) 3 n (n - 3) 12 n (n - 3) + ----------------- - ------------------ + ------------- - -------------- 8 n 3 8 n 3 n 4 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) 2 n (n - 3) n (n - 3) 5 n 4 n 3 n 12 n 4 69 n (n - 3) 42 n (n - 3) 18 n (n - 3) 9 n ((n - 1) ) + -------------- - -------------- + -------------- - ----------------- n 4 n 4 n 4 10 n 4 2 n (n - 3) n (n - 3) n (n - 3) (n - 1) (n ) 14 n 4 13 n 4 8 n 7 n 3 n ((n - 1) ) 15 n ((n - 1) ) n (n - 4) 11 n (n - 4) - ----------------- + ------------------ + ------------- - -------------- 10 n 4 10 n 4 n 4 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) 2 n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 3 n 47 n (n - 4) 97 n (n - 4) 48 n (n - 4) 18 n (n - 4) + -------------- - -------------- + -------------- - -------------- n 4 n 4 n 4 n 4 2 n (n - 4) 2 n (n - 4) n (n - 4) n (n - 4) 6 n 2 8 n 2 7 n 2 n 6 3 n ((n - 1) ) n ((n - 1) ) 5 n ((n - 1) ) (n - 2) n - ---------------- - ---------------- + ---------------- + ------------- 6 n 2 6 n 2 6 n 2 4 n (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 2) n n 5 n 4 n 3 3 (n - 2) n 11 (n - 2) n 3 (n - 2) n - ------------- + -------------- - ------------- 4 n 4 n 4 n (n - 2) n 2 (n - 2) n (n - 2) n and in Maple notation -3/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2+9*n^8*(n-1)^n/(n-1)^4/(n^n)^2* (n-2)^n/(n-2)^2-33/2*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2+9*n^6*(n-1)^n/ (n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2-3/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4 +9*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-33/2*n^7*(n-1)^n/(n-1)^2/(n^n)^2 *(n-2)^n/(n-2)^4+9*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+9*n^9*((n-1)^n)^ 3/(n-1)^8/(n^n)^3-3/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+12*n^9*(n-1) ^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-69/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-\ 3)^4+42*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-18*n^6*(n-1)^n/(n-1)^2/(n^n )^2*(n-3)^n/(n-3)^4+3/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-9*n^11 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2+33/2*n^10*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-2)^n/(n-2)^2-9*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-1/2*n^10* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^2+4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^2-23/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^2+14*n^7*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^2-6*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^2+3/2*n^12* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-9*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3* (n-2)^n/(n-2)^4+33/2*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-9*n^9*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+3/2*n^11*((n-1)^n)^3/(n-1)^8/(n^n)^3-\ 15/2*n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+3/2/(n^n)*n^7*(n-3)^n/(n-3)^4-12/(n^n)*n^ 6*(n-3)^n/(n-3)^4+69/2/(n^n)*n^5*(n-3)^n/(n-3)^4-42/(n^n)*n^4*(n-3)^n/(n-3)^4+ 18/(n^n)*n^3*(n-3)^n/(n-3)^4-9*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4-3/2*n^14*((n-1 )^n)^4/(n-1)^10/(n^n)^4+15/2*n^13*((n-1)^n)^4/(n-1)^10/(n^n)^4+1/2/(n^n)*n^8*(n -4)^n/(n-4)^4-11/2/(n^n)*n^7*(n-4)^n/(n-4)^4+47/2/(n^n)*n^6*(n-4)^n/(n-4)^4-97/ 2/(n^n)*n^5*(n-4)^n/(n-4)^4+48/(n^n)*n^4*(n-4)^n/(n-4)^4-18/(n^n)*n^3*(n-4)^n/( n-4)^4-3*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2-1/2*n^8*((n-1)^n)^2/(n-1)^6/(n^n)^2+5/ 2*n^7*((n-1)^n)^2/(n-1)^6/(n^n)^2+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2) ^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3 The, 3, 2, mixed moment of, X[1], and , X[3], is 9 n n 8 n n 3 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 33 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 3 n (n - 1) (n - 3) 12 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 69 n (n - 1) (n - 3) 42 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 2 n 18 n (n - 1) (n - 3) 207 n ((n - 1) ) (n - 3) - ----------------------- + ---------------------------- 2 n 2 4 6 n 3 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 573 n ((n - 1) ) (n - 3) 435 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 342 n ((n - 1) ) (n - 3) 108 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 3) 39 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 47 n (n - 1) (n - 2) 97 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 48 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 3 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 4 n 3 4 4 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 33 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + --------------------------- - ------------------------- 4 n 3 4 4 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 4 4 8 n 4 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 144 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n n (n - 1) (n - 4) 8 n (n - 1) (n - 4) - ------------------------- + ----------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 54 n (n - 1) (n - 4) 199 n (n - 1) (n - 4) - ------------------------ + ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 7 n 863 n (n - 1) (n - 4) 549 n (n - 1) (n - 4) 3 n (n - 3) - ------------------------- + ------------------------ + ------------- 4 n 2 4 4 n 2 4 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 2 n (n - 3) 6 n 5 n 4 n 3 n 12 n (n - 3) 69 n (n - 3) 42 n (n - 3) 18 n (n - 3) - -------------- + -------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 12 n 4 12 n 4 10 n 9 n 27 n ((n - 1) ) 3 n ((n - 1) ) 3 n (n - 4) 15 n (n - 4) - ------------------ - ----------------- + -------------- - -------------- 12 n 4 10 n 4 n 6 n 6 (n - 1) (n ) (n - 1) (n ) 4 n (n - 4) n (n - 4) 8 n 7 n 6 n 5 n 249 n (n - 4) 555 n (n - 4) 5727 n (n - 4) 2130 n (n - 4) + --------------- - --------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 4) n (n - 4) 4 n (n - 4) n (n - 4) 4 n 3 n 16 n 4 1683 n (n - 4) 540 n (n - 4) 3 n ((n - 1) ) + ---------------- - --------------- - ----------------- n 6 n 6 12 n 4 n (n - 4) n (n - 4) 4 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 15 n ((n - 1) ) 111 n ((n - 1) ) 45 n ((n - 1) ) + ------------------ - ------------------- + ------------------ 12 n 4 12 n 4 12 n 4 2 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 17 n 3 n 16 n 3 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 2 10 n 4 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 4 2 10 n 4 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 72 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 10 n 4 2 10 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 57 n ((n - 1) ) (n - 3) 18 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------- 8 n 3 2 8 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 69 n ((n - 1) ) (n - 3) 191 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n 2 n 11 n 10 n 145 n ((n - 1) ) (n - 3) n (n - 5) 6 n (n - 5) + ---------------------------- + ------------- - -------------- 8 n 3 2 n 6 n 6 2 (n - 1) (n ) (n - 3) 4 n (n - 5) n (n - 5) 9 n 8 n 7 n 6 n 123 n (n - 5) 351 n (n - 5) 4869 n (n - 5) 2619 n (n - 5) + --------------- - --------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 5) n (n - 5) 4 n (n - 5) n (n - 5) 5 n 4 n 3 n 3401 n (n - 5) 2424 n (n - 5) 720 n (n - 5) + ---------------- - ---------------- + --------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 14 n 4 13 n 4 8 n 7 n n ((n - 1) ) 5 n ((n - 1) ) n (n - 4) 11 n (n - 4) - ----------------- + ----------------- + ------------- - -------------- 10 n 4 10 n 4 n 4 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) 2 n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 3 n 47 n (n - 4) 97 n (n - 4) 48 n (n - 4) 18 n (n - 4) + -------------- - -------------- + -------------- - -------------- n 4 n 4 n 4 n 4 2 n (n - 4) 2 n (n - 4) n (n - 4) n (n - 4) 15 n 5 19 n 5 18 n 5 36 n ((n - 1) ) n ((n - 1) ) 10 n ((n - 1) ) + ------------------ + --------------- - ------------------ 14 n 5 14 n 5 14 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 9 n 3 37 n ((n - 1) ) 60 n ((n - 1) ) 9 n ((n - 1) ) + ------------------ - ------------------ + ---------------- 14 n 5 14 n 5 10 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 6 n 5 n 4 n 3 (n - 2) n 3 (n - 2) n 11 (n - 2) n 3 (n - 2) n + ------------- - ------------- + -------------- - ------------- 4 n 4 n 4 n 4 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n 8 n n 7 n n 435 n (n - 1) (n - 3) 342 n (n - 1) (n - 3) - ------------------------ + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 108 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) - ------------------------ - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 12 n n 39 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 4 2 n 2 6 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 51 n (n - 1) (n - 3) 345 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 9 n n 8 n n 1185 n (n - 1) (n - 3) 543 n (n - 1) (n - 3) + ------------------------- - ------------------------ 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 501 n (n - 1) (n - 3) 180 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 72 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 8 n 3 2 8 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 144 n ((n - 1) ) (n - 2) 54 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 207 n (n - 1) (n - 3) 573 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 7 n n 6 n n 378 n (n - 1) (n - 4) 108 n (n - 1) (n - 4) - ------------------------ + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n n ((n - 1) ) (n - 2) 15 n ((n - 1) ) (n - 2) - ------------------------- + --------------------------- 6 n 4 6 6 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 85 n ((n - 1) ) (n - 2) 225 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 4 6 6 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 137 n ((n - 1) ) (n - 2) 30 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 6 n 4 6 6 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 3) 51 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 345 n ((n - 1) ) (n - 3) 1185 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 543 n ((n - 1) ) (n - 3) 501 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 13 n n 180 n ((n - 1) ) (n - 3) 3 n (n - 1) (n - 4) + --------------------------- - ------------------------- 4 n 3 6 2 n 2 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 12 n n 11 n n 15 n (n - 1) (n - 4) 249 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 555 n (n - 1) (n - 4) 5727 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 8 n n 7 n n 2130 n (n - 1) (n - 4) 1683 n (n - 1) (n - 4) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 13 n 3 12 n 3 540 n (n - 1) (n - 4) n ((n - 1) ) 5 n ((n - 1) ) + ------------------------ + ----------------- - ----------------- 2 n 2 6 10 n 3 10 n 3 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) 2 (n - 1) (n ) 11 n 3 10 n 3 9 n 8 n 37 n ((n - 1) ) 15 n ((n - 1) ) n (n - 3) 17 n (n - 3) + ------------------ - ------------------ + ------------- - -------------- 10 n 3 10 n 3 n 6 n 6 4 (n - 1) (n ) (n - 1) (n ) 4 n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 4 n 115 n (n - 3) 395 n (n - 3) 181 n (n - 3) 167 n (n - 3) + --------------- - --------------- + --------------- - --------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) n (n - 3) n (n - 3) 3 n 60 n (n - 3) + -------------- n 6 n (n - 3) and in Maple notation -3/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+9*n^8*(n-1)^n/(n-1)^2/(n^n)^2* (n-2)^n/(n-2)^4-33/2*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+9*n^6*(n-1)^n/ (n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-3/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^ 4+12*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-69/2*n^8*(n-1)^n/(n-1)^2/(n^n) ^2*(n-3)^n/(n-3)^4+42*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-18*n^6*(n-1)^ n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+207/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^ n/(n-3)^4-573/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+435*n^11*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-342*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^4+108*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+3/2*n^15*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-39/2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -3)^n/(n-3)^4-1/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+11/2*n^10*(n-1)^ n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-47/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2 )^4+97/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-48*n^7*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^4+18*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+3/2*n^12*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-9*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -2)^n/(n-2)^4+33/2*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-9*n^9*((n-1 )^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-3/2*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-\ 2)^n/(n-2)^4+33/2*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-141/2*n^15*( (n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+291/2*n^14*((n-1)^n)^3/(n-1)^8/(n^n) ^4*(n-2)^n/(n-2)^4-144*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+54*n^12 *((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-1/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^4+8*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4-54*n^11*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+199*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4 -863/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+549*n^8*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^4+3/2/(n^n)*n^7*(n-3)^n/(n-3)^4-12/(n^n)*n^6*(n-3)^n/(n-3)^4+ 69/2/(n^n)*n^5*(n-3)^n/(n-3)^4-42/(n^n)*n^4*(n-3)^n/(n-3)^4+18/(n^n)*n^3*(n-3)^ n/(n-3)^4-27*n^12*((n-1)^n)^4/(n-1)^12/(n^n)^4-3*n^12*((n-1)^n)^4/(n-1)^10/(n^n )^4+3/4/(n^n)*n^10*(n-4)^n/(n-4)^6-15/(n^n)*n^9*(n-4)^n/(n-4)^6+249/2/(n^n)*n^8 *(n-4)^n/(n-4)^6-555/(n^n)*n^7*(n-4)^n/(n-4)^6+5727/4/(n^n)*n^6*(n-4)^n/(n-4)^6 -2130/(n^n)*n^5*(n-4)^n/(n-4)^6+1683/(n^n)*n^4*(n-4)^n/(n-4)^6-540/(n^n)*n^3*(n -4)^n/(n-4)^6-3/4*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^4+15/2*n^15*((n-1)^n)^4/(n-1) ^12/(n^n)^4-111/4*n^14*((n-1)^n)^4/(n-1)^12/(n^n)^4+45*n^13*((n-1)^n)^4/(n-1)^ 12/(n^n)^4-3/4*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^2+33/4*n^16*((n-\ 1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^2-141/4*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^ 4*(n-2)^n/(n-2)^2+291/4*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^2-72*n^ 13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^2+27*n^12*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-2)^n/(n-2)^2-57*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2+18*n^ 9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2+1/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-3)^n/(n-3)^2-13/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2+69/4* n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2-191/4*n^12*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-3)^n/(n-3)^2+145/2*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2 +1/4/(n^n)*n^11*(n-5)^n/(n-5)^6-6/(n^n)*n^10*(n-5)^n/(n-5)^6+123/2/(n^n)*n^9*(n -5)^n/(n-5)^6-351/(n^n)*n^8*(n-5)^n/(n-5)^6+4869/4/(n^n)*n^7*(n-5)^n/(n-5)^6-\ 2619/(n^n)*n^6*(n-5)^n/(n-5)^6+3401/(n^n)*n^5*(n-5)^n/(n-5)^6-2424/(n^n)*n^4*(n -5)^n/(n-5)^6+720/(n^n)*n^3*(n-5)^n/(n-5)^6-1/2*n^14*((n-1)^n)^4/(n-1)^10/(n^n) ^4+5/2*n^13*((n-1)^n)^4/(n-1)^10/(n^n)^4+1/2/(n^n)*n^8*(n-4)^n/(n-4)^4-11/2/(n^ n)*n^7*(n-4)^n/(n-4)^4+47/2/(n^n)*n^6*(n-4)^n/(n-4)^4-97/2/(n^n)*n^5*(n-4)^n/(n -4)^4+48/(n^n)*n^4*(n-4)^n/(n-4)^4-18/(n^n)*n^3*(n-4)^n/(n-4)^4+36*n^15*((n-1)^ n)^5/(n-1)^14/(n^n)^5+n^19*((n-1)^n)^5/(n-1)^14/(n^n)^5-10*n^18*((n-1)^n)^5/(n-\ 1)^14/(n^n)^5+37*n^17*((n-1)^n)^5/(n-1)^14/(n^n)^5-60*n^16*((n-1)^n)^5/(n-1)^14 /(n^n)^5+9*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-\ 2)^n/(n-2)^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n ^3-435*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+342*n^7*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^4-108*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-3/2*n^12*(n -1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+39/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^4-3/4*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+51/4*n^11*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-3)^n/(n-3)^6-345/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6 +1185/4*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-543*n^8*(n-1)^n/(n-1)^2/(n^ n)^2*(n-3)^n/(n-3)^6+501*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-180*n^6*(n -1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+3/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^2-33/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2+141/4*n^12*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2-291/4*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-2)^n/(n-2)^2+72*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2-27*n^9*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2+3/2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-2)^n/(n-2)^4-33/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+141/2*n^ 12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-291/2*n^11*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-2)^n/(n-2)^4+144*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-54* n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-207/2*n^10*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^4+573/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-378*n^7*( n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+108*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/ (n-4)^4-1/4*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6+15/4*n^16*((n-1)^n )^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6-85/4*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2) ^n/(n-2)^6+225/4*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6-137/2*n^13*(( n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6+30*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*( n-2)^n/(n-2)^6+3/4*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-51/4*n^14*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+345/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-3)^n/(n-3)^6-1185/4*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+543* n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-501*n^10*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-3)^n/(n-3)^6+180*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-3/4* n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+15*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^6-249/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+555*n^10*(n-1) ^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-5727/4*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/( n-4)^6+2130*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-1683*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-4)^n/(n-4)^6+540*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+1/4*n ^13*((n-1)^n)^3/(n-1)^10/(n^n)^3-5/2*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+37/4*n^ 11*((n-1)^n)^3/(n-1)^10/(n^n)^3-15*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+1/4/(n^n)* n^9*(n-3)^n/(n-3)^6-17/4/(n^n)*n^8*(n-3)^n/(n-3)^6+115/4/(n^n)*n^7*(n-3)^n/(n-3 )^6-395/4/(n^n)*n^6*(n-3)^n/(n-3)^6+181/(n^n)*n^5*(n-3)^n/(n-3)^6-167/(n^n)*n^4 *(n-3)^n/(n-3)^6+60/(n^n)*n^3*(n-3)^n/(n-3)^6 The, 3, 3, mixed moment of, X[1], and , X[3], is 18 n 6 9 n n 8 n n 135 n ((n - 1) ) 3 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------- - ------------------------- + ----------------------- 18 n 6 2 n 2 4 2 n 2 4 (n - 1) (n ) 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 12 n 4 33 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) 27 n ((n - 1) ) - ------------------------- + ----------------------- - ------------------ 2 n 2 4 2 n 2 4 14 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 10 n n 9 n n 3 n (n - 1) (n - 3) 12 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 69 n (n - 1) (n - 3) 42 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 2 n 18 n (n - 1) (n - 3) 621 n ((n - 1) ) (n - 3) - ----------------------- + ---------------------------- 2 n 2 4 6 n 3 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1719 n ((n - 1) ) (n - 3) 1305 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 513 n ((n - 1) ) (n - 3) 162 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 9 n ((n - 1) ) (n - 3) 117 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 13 n 12 n 11 n n (n - 6) 21 n (n - 6) 785 n (n - 6) 4305 n (n - 6) + ------------- - --------------- + ---------------- - ----------------- n 8 n 8 n 8 n 8 8 n (n - 6) 4 n (n - 6) 8 n (n - 6) 4 n (n - 6) 10 n 9 n 8 n 61503 n (n - 6) 150003 n (n - 6) 1017995 n (n - 6) + ------------------ - ------------------ + ------------------- n 8 n 8 n 8 8 n (n - 6) 4 n (n - 6) 8 n (n - 6) 7 n 6 n 5 n 1198995 n (n - 6) 958249 n (n - 6) 493269 n (n - 6) - ------------------- + ------------------ - ------------------ n 8 n 8 n 8 4 n (n - 6) 2 n (n - 6) n (n - 6) 4 n 3 n 24 n 6 293040 n (n - 6) 75600 n (n - 6) 5 n ((n - 1) ) + ------------------ - ----------------- - ----------------- n 8 n 8 18 n 6 n (n - 6) n (n - 6) 8 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 75 n ((n - 1) ) 465 n ((n - 1) ) 1525 n ((n - 1) ) + ------------------ - ------------------- + -------------------- 18 n 6 18 n 6 18 n 6 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 20 n 6 19 n 6 16 n n 1395 n ((n - 1) ) 675 n ((n - 1) ) 3 n (n - 1) (n - 5) - -------------------- + ------------------- - ------------------------- 18 n 6 18 n 6 4 n 2 6 4 (n - 1) (n ) 2 (n - 1) (n ) 8 (n - 1) (n ) (n - 5) 15 n n 14 n n 87 n (n - 1) (n - 5) 279 n (n - 1) (n - 5) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 13 n n 12 n n 4167 n (n - 1) (n - 5) 40095 n (n - 1) (n - 5) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 11 n n 22 n 4 n 129735 n (n - 1) (n - 5) 3 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 4 n 2 6 10 n 5 6 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 2) 21 n 4 n 18 n 3 n 15 n ((n - 1) ) (n - 2) 927 n ((n - 1) ) (n - 3) - --------------------------- - ---------------------------- 10 n 5 6 8 n 4 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 1206 n ((n - 1) ) (n - 3) 30501 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 29961 n ((n - 1) ) (n - 3) 17829 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 4 6 8 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 5859 n ((n - 1) ) (n - 3) 1620 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 3) 99 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 8 n 4 6 8 n 4 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 9 n ((n - 1) ) (n - 4) 225 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 306 n ((n - 1) ) (n - 4) 7605 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 59445 n ((n - 1) ) (n - 4) 151425 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 6 n 3 6 6 n 3 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 125541 n ((n - 1) ) (n - 4) 65205 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 19197 n ((n - 1) ) (n - 4) 4860 n ((n - 1) ) (n - 4) + ------------------------------ - ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 315 n ((n - 1) ) (n - 3) 2763 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 3 n ((n - 1) ) (n - 4) 63 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 291 n ((n - 1) ) (n - 4) 1551 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 10503 n ((n - 1) ) (n - 4) 23403 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 4284 n ((n - 1) ) (n - 4) 3969 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 2106 n ((n - 1) ) (n - 4) 486 n ((n - 1) ) (n - 4) + ----------------------------- - --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 555 n ((n - 1) ) (n - 2) 5727 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 5 6 10 n 5 6 2 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 1065 n ((n - 1) ) (n - 2) 1683 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 270 n ((n - 1) ) (n - 2) 249 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - -------------------------- + -------------------------- 12 n 4 2 12 n 4 2 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 216 n ((n - 1) ) (n - 3) 54 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 12 n 4 2 12 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 35 n ((n - 1) ) (n - 3) 307 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 12 n 4 2 12 n 4 2 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1659 n ((n - 1) ) (n - 3) 353 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 12 n 4 2 12 n 4 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 22 n 4 n 369 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 12 n 4 2 12 n 5 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 18 n ((n - 1) ) (n - 2) 243 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 1791 n ((n - 1) ) (n - 2) 7767 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 5 4 12 n 5 4 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 4941 n ((n - 1) ) (n - 2) 1701 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 5 4 12 n 5 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 243 n ((n - 1) ) (n - 2) 14931 n ((n - 1) ) (n - 3) - ---------------------------- - ------------------------------ 12 n 5 4 10 n 4 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 3177 n ((n - 1) ) (n - 3) 3321 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 1944 n ((n - 1) ) (n - 3) 486 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 3 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 14 n 5 2 14 n 5 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 14 n 5 2 14 n 5 2 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 14 n 5 2 14 n 5 2 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 567 n ((n - 1) ) (n - 2) 81 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 14 n 5 2 14 n 5 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 3 n (n - 1) (n - 2) 33 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 141 n (n - 1) (n - 2) 291 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 7 n n 6 n n 21 n 5 72 n (n - 1) (n - 2) 27 n (n - 1) (n - 2) 3 n ((n - 1) ) - ----------------------- + ----------------------- + ----------------- 4 n 2 4 4 n 2 4 16 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 45 n ((n - 1) ) 279 n ((n - 1) ) 915 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 16 n 5 16 n 5 16 n 5 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 17 n 5 16 n 5 13 n 837 n ((n - 1) ) 405 n ((n - 1) ) 3 n (n - 5) + ------------------- - ------------------- + -------------- 16 n 5 16 n 5 n 8 4 (n - 1) (n ) 2 (n - 1) (n ) 8 n (n - 5) 12 n 11 n 10 n 111 n (n - 5) 225 n (n - 5) 8415 n (n - 5) - ---------------- + ---------------- - ----------------- n 8 n 8 n 8 8 n (n - 5) n (n - 5) 4 n (n - 5) 9 n 8 n 7 n 100359 n (n - 5) 398223 n (n - 5) 531435 n (n - 5) + ------------------ - ------------------ + ------------------ n 8 n 8 n 8 8 n (n - 5) 8 n (n - 5) 4 n (n - 5) 6 n 5 n 4 n 469905 n (n - 5) 262611 n (n - 5) 166752 n (n - 5) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 2 n (n - 5) n (n - 5) n (n - 5) 3 n 12 n 2 n 45360 n (n - 5) 3 n ((n - 1) ) (n - 2) + ----------------- + -------------------------- n 8 4 n 3 4 n (n - 5) 2 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 9 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 17 n 3 n 9 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) - ------------------------- - -------------------------- 4 n 3 4 8 n 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 99 n ((n - 1) ) (n - 2) 423 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 873 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n n 81 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 4) + --------------------------- - ------------------------- 8 n 4 4 4 n 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 4) 12 n n 11 n n 12 n (n - 1) (n - 4) 81 n (n - 1) (n - 4) + ------------------------ - ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 597 n (n - 1) (n - 4) 2589 n (n - 1) (n - 4) + ------------------------- - ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 8 n n 7 n 6 n 1647 n (n - 1) (n - 4) 3 n (n - 3) 12 n (n - 3) + ------------------------- + ------------- - -------------- 4 n 2 4 n 4 n 4 2 (n - 1) (n ) (n - 4) 2 n (n - 3) n (n - 3) 5 n 4 n 3 n 69 n (n - 3) 42 n (n - 3) 18 n (n - 3) + -------------- - -------------- + -------------- n 4 n 4 n 4 2 n (n - 3) n (n - 3) n (n - 3) 12 n 2 n 11 n 2 n 29961 n ((n - 1) ) (n - 3) 17829 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 5859 n ((n - 1) ) (n - 3) 1620 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 9 n ((n - 1) ) (n - 3) 99 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n n 14 n n 9 n (n - 1) (n - 4) 225 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 13 n n 12 n n 306 n (n - 1) (n - 4) 7605 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 59445 n (n - 1) (n - 4) 151425 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 9 n n 8 n n 125541 n (n - 1) (n - 4) 65205 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 7 n n 6 n n 19197 n (n - 1) (n - 4) 4860 n (n - 1) (n - 4) - -------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 4 18 n 2 n 3 n ((n - 1) ) 3 n ((n - 1) ) (n - 4) - ----------------- + -------------------------- 10 n 4 4 n 3 8 (n - 1) (n ) 8 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 99 n ((n - 1) ) (n - 4) 351 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 5607 n ((n - 1) ) (n - 4) 55503 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 176211 n ((n - 1) ) (n - 4) 179013 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 111879 n ((n - 1) ) (n - 4) 38853 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 11340 n ((n - 1) ) (n - 4) 3 n (n - 1) (n - 5) - ----------------------------- - ------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 5) 15 n n 14 n n 111 n (n - 1) (n - 5) 225 n (n - 1) (n - 5) + ------------------------- - ------------------------- 2 n 2 8 2 n 2 8 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 8415 n (n - 1) (n - 5) 100359 n (n - 1) (n - 5) + -------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 11 n n 10 n n 398223 n (n - 1) (n - 5) 531435 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 9 n n 8 n n 469905 n (n - 1) (n - 5) 262611 n (n - 1) (n - 5) + --------------------------- - --------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 166752 n (n - 1) (n - 5) 45360 n (n - 1) (n - 5) + --------------------------- - -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 5 9 n 2 n 81 n ((n - 1) ) 81 n ((n - 1) ) (n - 2) + ------------------ - -------------------------- 16 n 5 8 n 3 4 (n - 1) (n ) (n - 1) (n ) (n - 2) 12 n n 11 n n 309 n (n - 1) (n - 3) 402 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 10167 n (n - 1) (n - 3) 9987 n (n - 1) (n - 3) - --------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 8 n n 7 n n 5943 n (n - 1) (n - 3) 1953 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 540 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) - ------------------------ - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n 3 n 33 n (n - 1) (n - 3) 81 n ((n - 1) ) (n - 2) + ------------------------- + --------------------------- 4 n 2 6 12 n 4 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 9 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 243 n ((n - 1) ) (n - 2) 1791 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 7767 n ((n - 1) ) (n - 2) 4941 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1701 n ((n - 1) ) (n - 2) 243 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 10 n 4 4 10 n 4 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 14931 n ((n - 1) ) (n - 3) 3177 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3321 n ((n - 1) ) (n - 3) 1944 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 486 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 81 n ((n - 1) ) (n - 3) 315 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 15 n 2 n 2763 n ((n - 1) ) (n - 3) 927 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 8 n 3 4 6 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1206 n ((n - 1) ) (n - 3) 30501 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 6 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n 2 n 12 n n 567 n ((n - 1) ) (n - 2) 5607 n (n - 1) (n - 4) + ---------------------------- + -------------------------- 8 n 3 4 2 n 2 8 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 55503 n (n - 1) (n - 4) 176211 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 2 n 2 8 2 n 2 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 9 n n 8 n n 179013 n (n - 1) (n - 4) 111879 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 7 n n 6 n n 10 n 38853 n (n - 1) (n - 4) 11340 n (n - 1) (n - 4) 9 n (n - 4) - -------------------------- + -------------------------- + -------------- 2 n 2 8 2 n 2 8 n 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 4 n (n - 4) 9 n 8 n 7 n 6 n 45 n (n - 4) 747 n (n - 4) 1665 n (n - 4) 17181 n (n - 4) - -------------- + --------------- - ---------------- + ----------------- n 6 n 6 n 6 n 6 n (n - 4) 2 n (n - 4) n (n - 4) 4 n (n - 4) 5 n 4 n 3 n 6390 n (n - 4) 5049 n (n - 4) 1620 n (n - 4) - ---------------- + ---------------- - ---------------- n 6 n 6 n 6 n (n - 4) n (n - 4) n (n - 4) 18 n 4 17 n 4 16 n 4 n ((n - 1) ) 15 n ((n - 1) ) 93 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 14 n 4 14 n 4 14 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 305 n ((n - 1) ) 279 n ((n - 1) ) 135 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 8 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 12 n 11 n 10 n 9 n n (n - 4) 33 n (n - 4) 117 n (n - 4) 1869 n (n - 4) + ------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 8 n (n - 4) 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 8 n 7 n 6 n 18501 n (n - 4) 58737 n (n - 4) 59671 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 8 n (n - 4) 8 n (n - 4) 4 n (n - 4) 5 n 4 n 3 n 37293 n (n - 4) 12951 n (n - 4) 3780 n (n - 4) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 2 n (n - 4) n (n - 4) n (n - 4) 11 n 10 n 9 n 8 n 3 n (n - 5) 18 n (n - 5) 369 n (n - 5) 1053 n (n - 5) + -------------- - --------------- + --------------- - ---------------- n 6 n 6 n 6 n 6 4 n (n - 5) n (n - 5) 2 n (n - 5) n (n - 5) 7 n 6 n 5 n 14607 n (n - 5) 7857 n (n - 5) 10203 n (n - 5) + ----------------- - ---------------- + ----------------- n 6 n 6 n 6 4 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 14 n 4 7272 n (n - 5) 2160 n (n - 5) n ((n - 1) ) - ---------------- + ---------------- - ----------------- n 6 n 6 10 n 4 n (n - 5) n (n - 5) 2 (n - 1) (n ) 13 n 4 8 n 7 n 6 n 5 n ((n - 1) ) n (n - 4) 11 n (n - 4) 47 n (n - 4) + ----------------- + ------------- - -------------- + -------------- 10 n 4 n 4 n 4 n 4 2 (n - 1) (n ) 2 n (n - 4) 2 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 15 n 5 97 n (n - 4) 48 n (n - 4) 18 n (n - 4) 27 n ((n - 1) ) - -------------- + -------------- - -------------- + ------------------ n 4 n 4 n 4 14 n 5 2 n (n - 4) n (n - 4) n (n - 4) (n - 1) (n ) 19 n 5 18 n 5 17 n 5 3 n ((n - 1) ) 15 n ((n - 1) ) 111 n ((n - 1) ) + ----------------- - ------------------ + ------------------- 14 n 5 14 n 5 14 n 5 4 (n - 1) (n ) 2 (n - 1) (n ) 4 (n - 1) (n ) 16 n 5 10 n n 45 n ((n - 1) ) 142797 n (n - 1) (n - 5) - ------------------ - ---------------------------- 14 n 5 4 n 2 6 (n - 1) (n ) 4 (n - 1) (n ) (n - 5) 9 n n 8 n n 105429 n (n - 1) (n - 5) 49869 n (n - 1) (n - 5) + --------------------------- - -------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 27216 n (n - 1) (n - 5) 6480 n (n - 1) (n - 5) + -------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n 3 n 19 n 3 n n ((n - 1) ) (n - 3) 15 n ((n - 1) ) (n - 3) - ------------------------- + --------------------------- 6 n 4 8 6 n 4 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 189 n ((n - 1) ) (n - 3) 651 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 4 8 6 n 4 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 10689 n ((n - 1) ) (n - 3) 13335 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 4 8 6 n 4 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 9833 n ((n - 1) ) (n - 3) 3897 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 4 8 6 n 4 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n n 6 n 5 1260 n ((n - 1) ) (n - 3) (n - 2) n 3 (n - 2) n - ----------------------------- + ------------- - ------------- 6 n 4 8 4 n 4 n (n - 1) (n ) (n - 3) 2 (n - 2) n (n - 2) n n 4 n 3 8 n n 11 (n - 2) n 3 (n - 2) n 1305 n (n - 1) (n - 3) + -------------- - ------------- - ------------------------- 4 n 4 n 4 n 2 4 2 (n - 2) n (n - 2) n 2 (n - 1) (n ) (n - 3) 7 n n 6 n n 513 n (n - 1) (n - 3) 162 n (n - 1) (n - 3) + ------------------------ - ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 9 n (n - 1) (n - 3) 117 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 9 n (n - 1) (n - 3) 153 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 10 n n 9 n n 1035 n (n - 1) (n - 3) 3555 n (n - 1) (n - 3) - -------------------------- + ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 8 n n 7 n n 1629 n (n - 1) (n - 3) 1503 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n 2 n 540 n (n - 1) (n - 3) 9 n ((n - 1) ) (n - 2) - ------------------------ + -------------------------- 2 n 2 6 6 n 3 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 99 n ((n - 1) ) (n - 2) 423 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 873 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 81 n ((n - 1) ) (n - 2) 621 n (n - 1) (n - 3) - -------------------------- - ------------------------- 6 n 3 4 4 n 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 9 n n 7 n n 1719 n (n - 1) (n - 3) 567 n (n - 1) (n - 4) + ------------------------- - ------------------------ 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 6 n n 17 n 3 n 162 n (n - 1) (n - 4) 3 n ((n - 1) ) (n - 2) + ------------------------ - -------------------------- 4 n 2 4 6 n 4 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 45 n ((n - 1) ) (n - 2) 255 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 6 n 4 6 6 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 675 n ((n - 1) ) (n - 2) 411 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 4 6 6 n 4 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 90 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 6 n 4 6 4 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 153 n ((n - 1) ) (n - 3) 1035 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 3555 n ((n - 1) ) (n - 3) 1629 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1503 n ((n - 1) ) (n - 3) 540 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 9 n (n - 1) (n - 4) 45 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 747 n (n - 1) (n - 4) 1665 n (n - 1) (n - 4) - ------------------------- + -------------------------- 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 17181 n (n - 1) (n - 4) 6390 n (n - 1) (n - 4) - -------------------------- + ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 5049 n (n - 1) (n - 4) 1620 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n n 14 n n 3 n (n - 1) (n - 4) 99 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 13 n n 9 n 8 n 351 n (n - 1) (n - 4) 3 n (n - 3) 51 n (n - 3) - ------------------------- + ------------- - -------------- 2 n 2 8 n 6 n 6 2 (n - 1) (n ) (n - 4) 4 n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 4 n 345 n (n - 3) 1185 n (n - 3) 543 n (n - 3) 501 n (n - 3) + --------------- - ---------------- + --------------- - --------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) n (n - 3) n (n - 3) 3 n 19 n 3 n 180 n (n - 3) 3 n ((n - 1) ) (n - 2) + --------------- - -------------------------- n 6 12 n 4 2 n (n - 3) 8 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 6 n ((n - 1) ) (n - 2) 81 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 4 2 12 n 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 597 n ((n - 1) ) (n - 2) 2589 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 2 12 n 4 2 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 1647 n ((n - 1) ) (n - 2) 567 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 4 2 12 n 4 2 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) and in Maple notation -135*n^18*((n-1)^n)^6/(n-1)^18/(n^n)^6-3/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/ (n-2)^4+9*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-33/2*n^7*(n-1)^n/(n-1)^2/ (n^n)^2*(n-2)^n/(n-2)^4+9*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-27*n^12*( (n-1)^n)^4/(n-1)^14/(n^n)^4-3/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+12 *n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-69/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*( n-3)^n/(n-3)^4+42*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-18*n^6*(n-1)^n/(n -1)^2/(n^n)^2*(n-3)^n/(n-3)^4+621/4*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n -3)^4-1719/4*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+1305/2*n^11*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-513*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^4+162*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+9/4*n^15*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-117/4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-3)^n/(n-3)^4+1/8/(n^n)*n^14*(n-6)^n/(n-6)^8-21/4/(n^n)*n^13*(n-6)^n/(n-6)^8+ 785/8/(n^n)*n^12*(n-6)^n/(n-6)^8-4305/4/(n^n)*n^11*(n-6)^n/(n-6)^8+61503/8/(n^n )*n^10*(n-6)^n/(n-6)^8-150003/4/(n^n)*n^9*(n-6)^n/(n-6)^8+1017995/8/(n^n)*n^8*( n-6)^n/(n-6)^8-1198995/4/(n^n)*n^7*(n-6)^n/(n-6)^8+958249/2/(n^n)*n^6*(n-6)^n/( n-6)^8-493269/(n^n)*n^5*(n-6)^n/(n-6)^8+293040/(n^n)*n^4*(n-6)^n/(n-6)^8-75600/ (n^n)*n^3*(n-6)^n/(n-6)^8-5/8*n^24*((n-1)^n)^6/(n-1)^18/(n^n)^6+75/8*n^23*((n-1 )^n)^6/(n-1)^18/(n^n)^6-465/8*n^22*((n-1)^n)^6/(n-1)^18/(n^n)^6+1525/8*n^21*((n -1)^n)^6/(n-1)^18/(n^n)^6-1395/4*n^20*((n-1)^n)^6/(n-1)^18/(n^n)^6+675/2*n^19*( (n-1)^n)^6/(n-1)^18/(n^n)^6-3/8*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+87 /8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6-279/2*n^14*(n-1)^n/(n-1)^4/(n^n )^2*(n-5)^n/(n-5)^6+4167/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6-40095/8 *n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+129735/8*n^11*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^6+3/8*n^22*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6-15/2 *n^21*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6-927/4*n^18*((n-1)^n)^3/(n-1) ^8/(n^n)^4*(n-3)^n/(n-3)^6+1206*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^ 6-30501/8*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6+29961/4*n^15*((n-1)^ n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6-17829/2*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*( n-3)^n/(n-3)^6+5859*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6-1620*n^12* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6-9/8*n^20*((n-1)^n)^3/(n-1)^8/(n^n)^ 4*(n-3)^n/(n-3)^6+99/4*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6+9/8*n^ 18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-225/8*n^17*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^6+306*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-\ 7605/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6+59445/8*n^14*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-151425/8*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 4)^n/(n-4)^6+125541/4*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-65205/2* n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6+19197*n^10*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-4)^n/(n-4)^6-4860*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-\ 315/2*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+2763/4*n^17*((n-1)^n)^3 /(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+3/8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/ (n-4)^4-63/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4+291/4*n^16*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4-1551/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^4+10503/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4-23403/8 *n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4+4284*n^12*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-4)^n/(n-4)^4-3969*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4+ 2106*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4-486*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^4-555/2*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2 )^6+5727/8*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6-1065*n^17*((n-1)^n )^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6+1683/2*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*( n-2)^n/(n-2)^6-270*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6+249/4*n^20 *((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6-1/8*n^20*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-3)^n/(n-3)^2+9/4*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+216* n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2-54*n^12*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^2-35/2*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+ 307/4*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2-1659/8*n^16*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+353*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n /(n-3)^2-369*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+9/8*n^22*((n-1)^ n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4-18*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2 )^n/(n-2)^4+243/2*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4-1791/4*n^19 *((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4+7767/8*n^18*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-2)^n/(n-2)^4-4941/4*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^ 4+1701/2*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4-243*n^15*((n-1)^n)^4 /(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4-14931/8*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-\ 3)^n/(n-3)^4+3177*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4-3321*n^14*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+1944*n^13*((n-1)^n)^3/(n-1)^10/(n^n )^4*(n-3)^n/(n-3)^4-486*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4-9/8*n ^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+81/4*n^19*((n-1)^n)^3/(n-1)^10 /(n^n)^4*(n-3)^n/(n-3)^4+3/8*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2-\ 6*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2+81/2*n^20*((n-1)^n)^4/(n-1) ^14/(n^n)^5*(n-2)^n/(n-2)^2-597/4*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-\ 2)^2+2589/8*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2-1647/4*n^17*((n-1 )^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2+567/2*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5 *(n-2)^n/(n-2)^2-81*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2-3/4*n^11* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+33/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2) ^n/(n-2)^4-141/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+291/4*n^8*(n-1)^n/ (n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-72*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+ 27*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+3/8*n^21*((n-1)^n)^5/(n-1)^16/(n ^n)^5-45/8*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^5+279/8*n^19*((n-1)^n)^5/(n-1)^16/(n ^n)^5-915/8*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^5+837/4*n^17*((n-1)^n)^5/(n-1)^16/( n^n)^5-405/2*n^16*((n-1)^n)^5/(n-1)^16/(n^n)^5+3/8/(n^n)*n^13*(n-5)^n/(n-5)^8-\ 111/8/(n^n)*n^12*(n-5)^n/(n-5)^8+225/(n^n)*n^11*(n-5)^n/(n-5)^8-8415/4/(n^n)*n^ 10*(n-5)^n/(n-5)^8+100359/8/(n^n)*n^9*(n-5)^n/(n-5)^8-398223/8/(n^n)*n^8*(n-5)^ n/(n-5)^8+531435/4/(n^n)*n^7*(n-5)^n/(n-5)^8-469905/2/(n^n)*n^6*(n-5)^n/(n-5)^8 +262611/(n^n)*n^5*(n-5)^n/(n-5)^8-166752/(n^n)*n^4*(n-5)^n/(n-5)^8+45360/(n^n)* n^3*(n-5)^n/(n-5)^8+3/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-9*n^11 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+33/2*n^10*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-2)^n/(n-2)^4-9*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-9/4*n^17* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+99/4*n^16*((n-1)^n)^3/(n-1)^8/(n^n) ^4*(n-2)^n/(n-2)^4-423/4*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+873/4 *n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-216*n^13*((n-1)^n)^3/(n-1)^8/ (n^n)^4*(n-2)^n/(n-2)^4+81*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-3/4 *n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+12*n^12*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^4-81*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+597/2*n^10*(n-1) ^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4-2589/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^4+1647/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+3/2/(n^n)*n^7*(n-3)^n /(n-3)^4-12/(n^n)*n^6*(n-3)^n/(n-3)^4+69/2/(n^n)*n^5*(n-3)^n/(n-3)^4-42/(n^n)*n ^4*(n-3)^n/(n-3)^4+18/(n^n)*n^3*(n-3)^n/(n-3)^4-29961/4*n^12*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-3)^n/(n-3)^6+17829/2*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3 )^6-5859*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+1620*n^9*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+9/8*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n -3)^6-99/4*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-9/8*n^15*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^6+225/8*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 6-306*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+7605/4*n^12*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^6-59445/8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+ 151425/8*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-125541/4*n^9*(n-1)^n/(n-1 )^4/(n^n)^2*(n-4)^n/(n-4)^6+65205/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6 -19197*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+4860*n^6*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^6-3*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4+3/8*n^18*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-99/8*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n -4)^8+351/2*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-5607/4*n^15*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+55503/8*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3* (n-4)^n/(n-4)^8-176211/8*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+ 179013/4*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-111879/2*n^11*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+38853*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 4)^n/(n-4)^8-11340*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-3/8*n^16*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+111/8*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n /(n-5)^8-225*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+8415/4*n^13*(n-1)^n/( n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-100359/8*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n -5)^8+398223/8*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-531435/4*n^10*(n-1) ^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+469905/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n /(n-5)^8-262611*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+166752*n^7*(n-1)^n/ (n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-45360*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5) ^8+81*n^15*((n-1)^n)^5/(n-1)^16/(n^n)^5-81*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^4-309/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+402*n^11*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-10167/8*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^6+9987/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-5943/2*n^8*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1953*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-\ 540*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/8*n^14*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^6+33/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+81*n^12*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-9/8*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4 *(n-2)^n/(n-2)^4+18*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-243/2*n^ 17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+1791/4*n^16*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-2)^n/(n-2)^4-7767/8*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-\ 2)^4+4941/4*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-1701/2*n^13*((n-1 )^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+243*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*( n-2)^n/(n-2)^4+14931/8*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-3177*n^ 12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+3321*n^11*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^4-1944*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+486 *n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+9/8*n^17*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^4-81/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+ 315/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-2763/4*n^14*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+927/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^6-1206*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+30501/8*n^13*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+3/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -2)^n/(n-2)^4-6*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+81/2*n^14*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-2)^n/(n-2)^4+2589/8*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-1647/4* n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+567/2*n^10*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-2)^n/(n-2)^4+5607/4*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-\ 55503/8*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+176211/8*n^10*(n-1)^n/(n-1 )^2/(n^n)^2*(n-4)^n/(n-4)^8-179013/4*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^ 8+111879/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-38853*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-4)^n/(n-4)^8+11340*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+9/4 /(n^n)*n^10*(n-4)^n/(n-4)^6-45/(n^n)*n^9*(n-4)^n/(n-4)^6+747/2/(n^n)*n^8*(n-4)^ n/(n-4)^6-1665/(n^n)*n^7*(n-4)^n/(n-4)^6+17181/4/(n^n)*n^6*(n-4)^n/(n-4)^6-6390 /(n^n)*n^5*(n-4)^n/(n-4)^6+5049/(n^n)*n^4*(n-4)^n/(n-4)^6-1620/(n^n)*n^3*(n-4)^ n/(n-4)^6-1/8*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+15/8*n^17*((n-1)^n)^4/(n-1)^14/ (n^n)^4-93/8*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+305/8*n^15*((n-1)^n)^4/(n-1)^14/ (n^n)^4-279/4*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+135/2*n^13*((n-1)^n)^4/(n-1)^14 /(n^n)^4+1/8/(n^n)*n^12*(n-4)^n/(n-4)^8-33/8/(n^n)*n^11*(n-4)^n/(n-4)^8+117/2/( n^n)*n^10*(n-4)^n/(n-4)^8-1869/4/(n^n)*n^9*(n-4)^n/(n-4)^8+18501/8/(n^n)*n^8*(n -4)^n/(n-4)^8-58737/8/(n^n)*n^7*(n-4)^n/(n-4)^8+59671/4/(n^n)*n^6*(n-4)^n/(n-4) ^8-37293/2/(n^n)*n^5*(n-4)^n/(n-4)^8+12951/(n^n)*n^4*(n-4)^n/(n-4)^8-3780/(n^n) *n^3*(n-4)^n/(n-4)^8+3/4/(n^n)*n^11*(n-5)^n/(n-5)^6-18/(n^n)*n^10*(n-5)^n/(n-5) ^6+369/2/(n^n)*n^9*(n-5)^n/(n-5)^6-1053/(n^n)*n^8*(n-5)^n/(n-5)^6+14607/4/(n^n) *n^7*(n-5)^n/(n-5)^6-7857/(n^n)*n^6*(n-5)^n/(n-5)^6+10203/(n^n)*n^5*(n-5)^n/(n-\ 5)^6-7272/(n^n)*n^4*(n-5)^n/(n-5)^6+2160/(n^n)*n^3*(n-5)^n/(n-5)^6-1/2*n^14*((n -1)^n)^4/(n-1)^10/(n^n)^4+5/2*n^13*((n-1)^n)^4/(n-1)^10/(n^n)^4+1/2/(n^n)*n^8*( n-4)^n/(n-4)^4-11/2/(n^n)*n^7*(n-4)^n/(n-4)^4+47/2/(n^n)*n^6*(n-4)^n/(n-4)^4-97 /2/(n^n)*n^5*(n-4)^n/(n-4)^4+48/(n^n)*n^4*(n-4)^n/(n-4)^4-18/(n^n)*n^3*(n-4)^n/ (n-4)^4+27*n^15*((n-1)^n)^5/(n-1)^14/(n^n)^5+3/4*n^19*((n-1)^n)^5/(n-1)^14/(n^n )^5-15/2*n^18*((n-1)^n)^5/(n-1)^14/(n^n)^5+111/4*n^17*((n-1)^n)^5/(n-1)^14/(n^n )^5-45*n^16*((n-1)^n)^5/(n-1)^14/(n^n)^5-142797/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2* (n-5)^n/(n-5)^6+105429/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6-49869*n^8* (n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+27216*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^6-6480*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6-1/8*n^20*((n-1)^n)^ 3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+15/4*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n /(n-3)^8-189/4*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+651/2*n^17*((n-\ 1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-10689/8*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^ 4*(n-3)^n/(n-3)^8+13335/4*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-9833 /2*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+3897*n^13*((n-1)^n)^3/(n-1) ^6/(n^n)^4*(n-3)^n/(n-3)^8-1260*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^ 8+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^ 4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3-1305/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3 )^n/(n-3)^4+513*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-162*n^6*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-3)^n/(n-3)^4-9/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+ 117/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-9/4*n^12*(n-1)^n/(n-1)^2/(n^ n)^2*(n-3)^n/(n-3)^6+153/4*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-1035/4* n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+3555/4*n^9*(n-1)^n/(n-1)^2/(n^n)^2 *(n-3)^n/(n-3)^6-1629*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+1503*n^7*(n-1 )^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-540*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-\ 3)^6+9/4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-99/4*n^13*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+423/4*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n /(n-2)^4-873/4*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+216*n^10*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-81*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^ n/(n-2)^4-621/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+1719/4*n^9*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-567*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 4+162*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4-3/4*n^17*((n-1)^n)^3/(n-1)^6/ (n^n)^4*(n-2)^n/(n-2)^6+45/4*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6-\ 255/4*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6+675/4*n^14*((n-1)^n)^3/( n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6-411/2*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/( n-2)^6+90*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6+9/4*n^15*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-153/4*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n /(n-3)^6+1035/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-3555/4*n^12*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+1629*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3 *(n-3)^n/(n-3)^6-1503*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+540*n^9* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-9/4*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^6+45*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-747/2*n^11*(n-1)^ n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+1665*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-\ 4)^6-17181/4*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+6390*n^8*(n-1)^n/(n-1) ^2/(n^n)^2*(n-4)^n/(n-4)^6-5049*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+ 1620*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-3/8*n^15*(n-1)^n/(n-1)^2/(n^n) ^2*(n-4)^n/(n-4)^8+99/8*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-351/2*n^13 *(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+3/4/(n^n)*n^9*(n-3)^n/(n-3)^6-51/4/(n^ n)*n^8*(n-3)^n/(n-3)^6+345/4/(n^n)*n^7*(n-3)^n/(n-3)^6-1185/4/(n^n)*n^6*(n-3)^n /(n-3)^6+543/(n^n)*n^5*(n-3)^n/(n-3)^6-501/(n^n)*n^4*(n-3)^n/(n-3)^6+180/(n^n)* n^3*(n-3)^n/(n-3)^6-3/8*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+6*n^ 18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-81/2*n^17*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-2)^n/(n-2)^2+597/4*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2 -2589/8*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+1647/4*n^14*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-567/2*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 2)^n/(n-2)^2 The, 3, 4, mixed moment of, X[1], and , X[3], is 18 n 6 9 n n 8 n n 162 n ((n - 1) ) 3 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------- - ------------------------- + ----------------------- 18 n 6 2 n 2 4 2 n 2 4 (n - 1) (n ) 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 33 n (n - 1) (n - 2) 9 n (n - 1) (n - 2) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 150183 n ((n - 1) ) (n - 4) 269955 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 10 n 4 6 10 n 4 6 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 1364877 n ((n - 1) ) (n - 4) 606195 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 10 n 4 6 10 n 4 6 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 370521 n ((n - 1) ) (n - 4) 296460 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 139482 n ((n - 1) ) (n - 4) 29160 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 1569 n ((n - 1) ) (n - 5) 3609 n ((n - 1) ) (n - 5) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 18 n 5 n 23 n 5 n 1620 n ((n - 1) ) (n - 2) 19815 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 14 n 6 6 14 n 6 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 3 n ((n - 1) ) (n - 2) 75 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 14 n 6 6 14 n 6 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 102 n ((n - 1) ) (n - 2) 2535 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 6 6 14 n 6 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 89865 n ((n - 1) ) (n - 3) 270315 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 12 n 5 6 12 n 5 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 138483 n ((n - 1) ) (n - 3) 95373 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 12 n 5 6 12 n 5 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 84402 n ((n - 1) ) (n - 3) 43254 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 25 n 4 n 9720 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 243 n ((n - 1) ) (n - 3) 1449 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 12 n 5 6 12 n 5 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 3 n 10053 n ((n - 1) ) (n - 3) 3627 n ((n - 1) ) (n - 4) - ------------------------------ - ----------------------------- 12 n 5 6 10 n 4 6 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 4) 20 n 3 n 23 n 3 n 3600 n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 4) + ----------------------------- - -------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 3 n 24 n 4 n 135 n ((n - 1) ) (n - 4) 69 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 4 6 14 n 5 4 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 305 n ((n - 1) ) (n - 4) 1065 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 9835 n ((n - 1) ) (n - 4) 15755 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 71435 n ((n - 1) ) (n - 4) 57255 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 31770 n ((n - 1) ) (n - 4) 23220 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 10044 n ((n - 1) ) (n - 4) 1944 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 4) - -------------------------- + --------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 22 n 5 n 21 n 5 n 50475 n ((n - 1) ) (n - 2) 41847 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 6 6 14 n 6 6 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 21735 n ((n - 1) ) (n - 2) 6399 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 14 n 6 6 14 n 6 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 3 n (n - 1) (n - 3) 12 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 69 n (n - 1) (n - 3) 42 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 4 2 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 2 n 18 n (n - 1) (n - 3) 207 n ((n - 1) ) (n - 3) - ----------------------- + ---------------------------- 2 n 2 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 573 n ((n - 1) ) (n - 3) 870 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 684 n ((n - 1) ) (n - 3) 216 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 3) 39 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 6 14 n 13 n 243 n ((n - 1) ) 3 n (n - 6) 63 n (n - 6) - ------------------- + -------------- - --------------- 20 n 6 n 8 n 8 (n - 1) (n ) 4 n (n - 6) 2 n (n - 6) 12 n 11 n 10 n 2355 n (n - 6) 12915 n (n - 6) 184509 n (n - 6) + ----------------- - ------------------ + ------------------- n 8 n 8 n 8 4 n (n - 6) 2 n (n - 6) 4 n (n - 6) 9 n 8 n 7 n 450009 n (n - 6) 3053985 n (n - 6) 3596985 n (n - 6) - ------------------ + ------------------- - ------------------- n 8 n 8 n 8 2 n (n - 6) 4 n (n - 6) 2 n (n - 6) 6 n 5 n 4 n 2874747 n (n - 6) 2959614 n (n - 6) 1758240 n (n - 6) + ------------------- - ------------------- + ------------------- n 8 n 8 n 8 n (n - 6) n (n - 6) n (n - 6) 3 n 16 n 3 n 453600 n (n - 6) 7801 n ((n - 1) ) (n - 2) - ------------------ + ----------------------------- n 8 12 n 4 4 n (n - 6) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2856 n ((n - 1) ) (n - 2) 2646 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1404 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 29955 n ((n - 1) ) (n - 3) 90105 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 46161 n ((n - 1) ) (n - 3) 31791 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 28134 n ((n - 1) ) (n - 3) 14418 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 3240 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ---------------------------- + -------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 81 n ((n - 1) ) (n - 3) 483 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 24 n 6 23 n 6 3351 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) 45 n ((n - 1) ) - ----------------------------- - ----------------- + ------------------ 8 n 3 6 18 n 6 18 n 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) 4 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 279 n ((n - 1) ) 915 n ((n - 1) ) 837 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 18 n 6 18 n 6 18 n 6 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 19 n 6 17 n n 405 n ((n - 1) ) n (n - 1) (n - 4) + ------------------- - ------------------------- 18 n 6 4 n 2 8 (n - 1) (n ) 4 (n - 1) (n ) (n - 4) 16 n n 15 n n 19 n (n - 1) (n - 4) 639 n (n - 1) (n - 4) + ------------------------- - ------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n n 18 n 4 n 1569 n (n - 1) (n - 4) 8568 n ((n - 1) ) (n - 2) + -------------------------- + ----------------------------- 4 n 2 8 14 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 7938 n ((n - 1) ) (n - 2) 4212 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 972 n ((n - 1) ) (n - 2) 40539 n ((n - 1) ) (n - 3) - ---------------------------- - ------------------------------ 14 n 5 4 12 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 25074 n ((n - 1) ) (n - 3) 20088 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 9396 n ((n - 1) ) (n - 3) 1944 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 177 n ((n - 1) ) (n - 3) 2133 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 16707 n ((n - 1) ) (n - 3) 44409 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n n 12 n n 39999 n (n - 1) (n - 4) 86835 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 524033 n (n - 1) (n - 4) 274576 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 391380 n (n - 1) (n - 4) 360828 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 193212 n (n - 1) (n - 4) 45360 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 7 22 n 3 n 486 n ((n - 1) ) 3 n ((n - 1) ) (n - 3) + ------------------- - -------------------------- 22 n 7 12 n 4 4 (n - 1) (n ) 4 (n - 1) (n ) (n - 3) 21 n 3 n 18 n 3 n 69 n ((n - 1) ) (n - 3) 89865 n ((n - 1) ) (n - 3) + --------------------------- - ------------------------------ 12 n 4 4 10 n 4 6 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 270315 n ((n - 1) ) (n - 3) 138483 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 6 10 n 4 6 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 95373 n ((n - 1) ) (n - 3) 84402 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 43254 n ((n - 1) ) (n - 3) 9720 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 9 n ((n - 1) ) (n - 3) 243 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 10 n 4 6 10 n 4 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1449 n ((n - 1) ) (n - 3) 10053 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 10 n 4 6 10 n 4 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 3627 n ((n - 1) ) (n - 4) 3600 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 9 n ((n - 1) ) (n - 4) 135 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 150183 n ((n - 1) ) (n - 4) 269955 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1364877 n ((n - 1) ) (n - 4) 606195 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 370521 n ((n - 1) ) (n - 4) 296460 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 139482 n ((n - 1) ) (n - 4) 29160 n ((n - 1) ) (n - 4) + ------------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 3 n ((n - 1) ) (n - 4) 57 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 1917 n ((n - 1) ) (n - 4) 4707 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 119997 n ((n - 1) ) (n - 4) 260505 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1572099 n ((n - 1) ) (n - 4) 823728 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1174140 n ((n - 1) ) (n - 4) 1082484 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 579636 n ((n - 1) ) (n - 4) 136080 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 2373 n (n - 1) (n - 5) 6624 n (n - 1) (n - 5) - -------------------------- + -------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 13 n n 195309 n (n - 1) (n - 5) 500499 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n n 11 n n 3656139 n (n - 1) (n - 5) 2395827 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 4469052 n (n - 1) (n - 5) 5779044 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 4909572 n (n - 1) (n - 5) 2454624 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n n 544320 n (n - 1) (n - 5) 3 n (n - 1) (n - 5) - --------------------------- - ------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 17 n n 18 n n 63 n (n - 1) (n - 5) 3 n (n - 1) (n - 5) + ------------------------- - --------------------------- 4 n 2 8 2 n 2 10 2 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 17 n n 16 n n 81 n (n - 1) (n - 5) 3903 n (n - 1) (n - 5) + -------------------------- - --------------------------- 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 15 n n 14 n n 27711 n (n - 1) (n - 5) 516069 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 13 n n 12 n n 1658043 n (n - 1) (n - 5) 15058509 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 11 n n 10 n n 24310233 n (n - 1) (n - 5) 27645267 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 2 n 2 10 2 n 2 10 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 9 n n 8 n n 21547719 n (n - 1) (n - 5) 10894068 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 2 n 2 10 2 n 2 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 6388632 n (n - 1) (n - 5) 1632960 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 4 n 21 n 4 n 291 n ((n - 1) ) (n - 2) 1551 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 16 n 5 2 16 n 5 2 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 1053 n ((n - 1) ) (n - 2) 243 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 10503 n ((n - 1) ) (n - 2) 23403 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2142 n ((n - 1) ) (n - 2) 3969 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 14 n 5 4 14 n 5 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 291 n ((n - 1) ) (n - 2) 1551 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 14 n 5 4 14 n 5 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 10503 n ((n - 1) ) (n - 2) 23403 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 5 4 14 n 5 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n n 15 n n 3 n (n - 1) (n - 5) 87 n (n - 1) (n - 5) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 14 n n 13 n n 558 n (n - 1) (n - 5) 4167 n (n - 1) (n - 5) - ------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 40095 n (n - 1) (n - 5) 129735 n (n - 1) (n - 5) - --------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 22 n 4 n 21 n 4 n 3 n ((n - 1) ) (n - 2) 30 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 10 n 5 6 10 n 5 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 927 n ((n - 1) ) (n - 3) 4824 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 30501 n ((n - 1) ) (n - 3) 29961 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 4 6 8 n 4 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 35658 n ((n - 1) ) (n - 3) 23436 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 3 n 6480 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 2 n 99 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 4) + --------------------------- + -------------------------- 8 n 4 6 6 n 3 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 225 n ((n - 1) ) (n - 4) 1224 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 7605 n ((n - 1) ) (n - 4) 59445 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 151425 n ((n - 1) ) (n - 4) 125541 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 130410 n ((n - 1) ) (n - 4) 76788 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 18 n 3 n 19440 n ((n - 1) ) (n - 4) 315 n ((n - 1) ) (n - 3) - ----------------------------- - ---------------------------- 6 n 3 6 10 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 17 n 3 n 18 n 2 n 2763 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 4) + ----------------------------- + -------------------------- 10 n 4 4 8 n 3 4 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 63 n ((n - 1) ) (n - 4) 291 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 1551 n ((n - 1) ) (n - 4) 10503 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 23403 n ((n - 1) ) (n - 4) 8568 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 7938 n ((n - 1) ) (n - 4) 4212 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 19 n 4 n 972 n ((n - 1) ) (n - 4) 1110 n ((n - 1) ) (n - 2) - --------------------------- - ----------------------------- 8 n 3 4 10 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 5727 n ((n - 1) ) (n - 2) 4260 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 5 6 10 n 5 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 3366 n ((n - 1) ) (n - 2) 1080 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 22 n 4 n 249 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 10 n 5 6 12 n 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 36 n ((n - 1) ) (n - 2) 243 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 1791 n ((n - 1) ) (n - 2) 7767 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 4941 n ((n - 1) ) (n - 2) 1701 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 486 n ((n - 1) ) (n - 2) 14931 n ((n - 1) ) (n - 3) - ---------------------------- - ------------------------------ 12 n 5 4 10 n 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 6354 n ((n - 1) ) (n - 3) 6642 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 3888 n ((n - 1) ) (n - 3) 972 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ----------------------- + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 47 n (n - 1) (n - 2) 97 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 13 n 96 n (n - 1) (n - 2) 36 n (n - 1) (n - 2) 9 n (n - 5) - ----------------------- + ----------------------- + -------------- 4 n 2 4 4 n 2 4 n 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 4 n (n - 5) 12 n 11 n 10 n 333 n (n - 5) 1350 n (n - 5) 25245 n (n - 5) - ---------------- + ----------------- - ------------------ n 8 n 8 n 8 4 n (n - 5) n (n - 5) 2 n (n - 5) 9 n 8 n 7 n 301077 n (n - 5) 1194669 n (n - 5) 1594305 n (n - 5) + ------------------ - ------------------- + ------------------- n 8 n 8 n 8 4 n (n - 5) 4 n (n - 5) 2 n (n - 5) 6 n 5 n 4 n 1409715 n (n - 5) 1575666 n (n - 5) 1000512 n (n - 5) - ------------------- + ------------------- - ------------------- n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 3 n 12 n 2 n 272160 n (n - 5) 3 n ((n - 1) ) (n - 2) + ------------------ + -------------------------- n 8 4 n 3 4 n (n - 5) 2 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 9 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 17 n 3 n 9 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ------------------------- - -------------------------- 4 n 3 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 33 n ((n - 1) ) (n - 2) 141 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 291 n ((n - 1) ) (n - 2) 288 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n n 108 n ((n - 1) ) (n - 2) n (n - 1) (n - 4) + ---------------------------- - ----------------------- 8 n 4 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 12 n n 11 n n 16 n (n - 1) (n - 4) 108 n (n - 1) (n - 4) + ------------------------ - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 398 n (n - 1) (n - 4) 863 n (n - 1) (n - 4) + ------------------------- - ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n 6 n 1098 n (n - 1) (n - 4) 3 n (n - 3) 12 n (n - 3) + ------------------------- + ------------- - -------------- 4 n 2 4 n 4 n 4 (n - 1) (n ) (n - 4) 2 n (n - 3) n (n - 3) 5 n 4 n 3 n 69 n (n - 3) 42 n (n - 3) 18 n (n - 3) + -------------- - -------------- + -------------- n 4 n 4 n 4 2 n (n - 3) n (n - 3) n (n - 3) 12 n 2 n 11 n 2 n 29961 n ((n - 1) ) (n - 3) 35658 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 23436 n ((n - 1) ) (n - 3) 6480 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 9 n ((n - 1) ) (n - 3) 99 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 9 n (n - 1) (n - 4) 225 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 1224 n (n - 1) (n - 4) 7605 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 59445 n (n - 1) (n - 4) 151425 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 9 n n 8 n n 125541 n (n - 1) (n - 4) 130410 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 76788 n (n - 1) (n - 4) 19440 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 4 18 n 2 n 3 n ((n - 1) ) 9 n ((n - 1) ) (n - 4) - ----------------- + -------------------------- 10 n 4 4 n 3 8 (n - 1) (n ) 4 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 297 n ((n - 1) ) (n - 4) 1053 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 16821 n ((n - 1) ) (n - 4) 166509 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 528633 n ((n - 1) ) (n - 4) 537039 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 335637 n ((n - 1) ) (n - 4) 233118 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 68040 n ((n - 1) ) (n - 4) 9 n (n - 1) (n - 5) - ----------------------------- - ------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 15 n n 14 n n 333 n (n - 1) (n - 5) 1350 n (n - 1) (n - 5) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 25245 n (n - 1) (n - 5) 301077 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 11 n n 10 n n 1194669 n (n - 1) (n - 5) 1594305 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 9 n n 8 n n 1409715 n (n - 1) (n - 5) 1575666 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 1000512 n (n - 1) (n - 5) 272160 n (n - 1) (n - 5) + ---------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 12 n n 162 n ((n - 1) ) (n - 2) 309 n (n - 1) (n - 3) - --------------------------- - ------------------------- 8 n 3 4 4 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n n 10 n n 1608 n (n - 1) (n - 3) 10167 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 9987 n (n - 1) (n - 3) 11886 n (n - 1) (n - 3) + ------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 7812 n (n - 1) (n - 3) 2160 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 33 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 57 n ((n - 1) ) (n - 4) 1917 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 8 n 4 8 8 n 4 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 4707 n ((n - 1) ) (n - 4) 119997 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 260505 n ((n - 1) ) (n - 4) 1572099 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 8 n 4 8 8 n 4 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 823728 n ((n - 1) ) (n - 4) 1174140 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 1082484 n ((n - 1) ) (n - 4) 579636 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 136080 n ((n - 1) ) (n - 4) 2373 n ((n - 1) ) (n - 5) + ------------------------------- + ----------------------------- 8 n 4 8 6 n 3 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 6624 n ((n - 1) ) (n - 5) 195309 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 500499 n ((n - 1) ) (n - 5) 3656139 n ((n - 1) ) (n - 5) - ------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 2395827 n ((n - 1) ) (n - 5) 4469052 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 5779044 n ((n - 1) ) (n - 5) 4909572 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 2454624 n ((n - 1) ) (n - 5) 544320 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 3 n 18 n 3 n 9 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 243 n ((n - 1) ) (n - 2) 1791 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 7767 n ((n - 1) ) (n - 2) 4941 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1701 n ((n - 1) ) (n - 2) 486 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 14931 n ((n - 1) ) (n - 3) 6354 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 6642 n ((n - 1) ) (n - 3) 3888 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 972 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 81 n ((n - 1) ) (n - 3) 315 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 15 n 2 n 2763 n ((n - 1) ) (n - 3) 927 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 8 n 3 4 6 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 4824 n ((n - 1) ) (n - 3) 30501 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 16 n 14 n 177 n (n - 6) 3 n (n - 6) 4713 n (n - 6) - ---------------- + --------------- + ----------------- n 10 n 10 n 10 16 n (n - 6) 16 n (n - 6) 16 n (n - 6) 12 n 13 n 11 n 793179 n (n - 6) 74937 n (n - 6) 5896431 n (n - 6) + ------------------- - ------------------ - -------------------- n 10 n 10 n 10 16 n (n - 6) 16 n (n - 6) 16 n (n - 6) 10 n 6 n 5 n 31638939 n (n - 6) 129526731 n (n - 6) 60858972 n (n - 6) + --------------------- + --------------------- - -------------------- n 10 n 10 n 10 16 n (n - 6) 2 n (n - 6) n (n - 6) 8 n 9 n 4 n 176841699 n (n - 6) 123913011 n (n - 6) 33576120 n (n - 6) + --------------------- - --------------------- + -------------------- n 10 n 10 n 10 8 n (n - 6) 16 n (n - 6) n (n - 6) 7 n 3 n 16 n 2 n 181321773 n (n - 6) 8164800 n (n - 6) 3 n ((n - 1) ) (n - 2) - --------------------- - ------------------- + -------------------------- n 10 n 10 8 n 3 4 4 n (n - 6) n (n - 6) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 12 n ((n - 1) ) (n - 2) 81 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 597 n ((n - 1) ) (n - 2) 2589 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1647 n ((n - 1) ) (n - 2) 567 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 16821 n (n - 1) (n - 4) 166509 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 10 n n 9 n n 528633 n (n - 1) (n - 4) 537039 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 8 n n 7 n n 335637 n (n - 1) (n - 4) 233118 n (n - 1) (n - 4) + --------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 10 n 9 n 68040 n (n - 1) (n - 4) 21 n (n - 4) 105 n (n - 4) + -------------------------- + --------------- - --------------- 2 n 2 8 n 6 n 6 (n - 1) (n ) (n - 4) 4 n (n - 4) n (n - 4) 8 n 7 n 6 n 1743 n (n - 4) 3885 n (n - 4) 40089 n (n - 4) + ---------------- - ---------------- + ----------------- n 6 n 6 n 6 2 n (n - 4) n (n - 4) 4 n (n - 4) 5 n 4 n 3 n 14910 n (n - 4) 11781 n (n - 4) 3780 n (n - 4) - ----------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 4) n (n - 4) n (n - 4) 21 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 5) 81 n ((n - 1) ) (n - 5) + --------------------------- - --------------------------- 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 3903 n ((n - 1) ) (n - 5) 27711 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 516069 n ((n - 1) ) (n - 5) 1658043 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 15058509 n ((n - 1) ) (n - 5) 24310233 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 4 n 3 10 4 n 3 10 16 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 27645267 n ((n - 1) ) (n - 5) 21547719 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 4 n 3 10 4 n 3 10 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 10894068 n ((n - 1) ) (n - 5) 6388632 n ((n - 1) ) (n - 5) + --------------------------------- - -------------------------------- 4 n 3 10 4 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 23 n 5 22 n 5 1632960 n ((n - 1) ) (n - 5) n ((n - 1) ) 5 n ((n - 1) ) + ------------------------------- + ------------------ - ----------------- 4 n 3 10 18 n 5 18 n 5 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) 4 (n - 1) (n ) 21 n 5 20 n 5 17 n 4 n 87 n ((n - 1) ) 215 n ((n - 1) ) 1674 n ((n - 1) ) (n - 3) + ------------------ - ------------------- + ----------------------------- 18 n 5 18 n 5 16 n 5 2 8 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n n ((n - 1) ) (n - 3) 23 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 27 n 5 n 26 n 5 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 16 n 6 4 16 n 6 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 291 n ((n - 1) ) (n - 2) 1551 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 16 n 6 4 16 n 6 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 10503 n ((n - 1) ) (n - 2) 23403 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 16 n 6 4 16 n 6 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 8568 n ((n - 1) ) (n - 2) 7938 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 4212 n ((n - 1) ) (n - 2) 972 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 40539 n ((n - 1) ) (n - 3) 25074 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 14 n 5 4 14 n 5 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 20088 n ((n - 1) ) (n - 3) 9396 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 23 n 4 n 1944 n ((n - 1) ) (n - 3) 177 n ((n - 1) ) (n - 3) + ----------------------------- + ---------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 2133 n ((n - 1) ) (n - 3) 16707 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 14 n 5 4 14 n 5 4 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 20 n 4 n 25 n 4 n 44409 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------- 14 n 5 4 14 n 5 4 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 19 n 5 18 n 5 17 n 5 2641 n ((n - 1) ) 645 n ((n - 1) ) 783 n ((n - 1) ) + -------------------- - ------------------- + ------------------- 18 n 5 18 n 5 18 n 5 16 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 16 n 5 29 n 7 28 n 7 270 n ((n - 1) ) 3 n ((n - 1) ) 15 n ((n - 1) ) - ------------------- + ----------------- - ------------------ 18 n 5 22 n 7 22 n 7 (n - 1) (n ) 8 (n - 1) (n ) 2 (n - 1) (n ) 27 n 7 26 n 7 25 n 7 261 n ((n - 1) ) 645 n ((n - 1) ) 7923 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 22 n 7 22 n 7 22 n 7 4 (n - 1) (n ) 2 (n - 1) (n ) 8 (n - 1) (n ) 24 n 7 23 n 7 22 n 7 1935 n ((n - 1) ) 2349 n ((n - 1) ) 1620 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 22 n 7 22 n 7 22 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 23 n 3 n 22 n 3 n n ((n - 1) ) (n - 4) 25 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 6 n 4 10 6 n 4 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 1101 n ((n - 1) ) (n - 4) 7035 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 4 10 6 n 4 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 115743 n ((n - 1) ) (n - 4) 321195 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 6 n 4 10 6 n 4 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 2449943 n ((n - 1) ) (n - 4) 3203525 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 4 10 6 n 4 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 2808039 n ((n - 1) ) (n - 4) 1566495 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 4 10 6 n 4 10 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 498366 n ((n - 1) ) (n - 4) 136080 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 6 n 4 10 6 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 11 n 10 n 9 n 3 n (n - 4) 99 n (n - 4) 351 n (n - 4) 5607 n (n - 4) + -------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 55503 n (n - 4) 176211 n (n - 4) 179013 n (n - 4) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 111879 n (n - 4) 77706 n (n - 4) 22680 n (n - 4) - ------------------ + ----------------- - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 11 n 10 n 9 n 8 n 7 n (n - 5) 42 n (n - 5) 861 n (n - 5) 2457 n (n - 5) + -------------- - --------------- + --------------- - ---------------- n 6 n 6 n 6 n 6 4 n (n - 5) n (n - 5) 2 n (n - 5) n (n - 5) 7 n 6 n 5 n 34083 n (n - 5) 18333 n (n - 5) 23807 n (n - 5) + ----------------- - ----------------- + ----------------- n 6 n 6 n 6 4 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 14 n 4 16968 n (n - 5) 5040 n (n - 5) n ((n - 1) ) - ----------------- + ---------------- - ----------------- n 6 n 6 10 n 4 n (n - 5) n (n - 5) 2 (n - 1) (n ) 13 n 4 8 n 7 n 6 n 5 n ((n - 1) ) n (n - 4) 11 n (n - 4) 47 n (n - 4) + ----------------- + ------------- - -------------- + -------------- 10 n 4 n 4 n 4 n 4 2 (n - 1) (n ) 2 n (n - 4) 2 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 15 n 97 n (n - 4) 48 n (n - 4) 18 n (n - 4) 1925 n (n - 7) - -------------- + -------------- - -------------- + ----------------- n 4 n 4 n 4 n 10 2 n (n - 4) n (n - 4) n (n - 4) 16 n (n - 7) 16 n 14 n 12 n 65 n (n - 7) 34405 n (n - 7) 3551835 n (n - 7) - --------------- - ------------------ - -------------------- n 10 n 10 n 10 16 n (n - 7) 16 n (n - 7) 16 n (n - 7) 13 n 11 n 10 n 414267 n (n - 7) 22339175 n (n - 7) 104582215 n (n - 7) + ------------------- + --------------------- - ---------------------- n 10 n 10 n 10 16 n (n - 7) 16 n (n - 7) 16 n (n - 7) 6 n 5 n 8 n 149813055 n (n - 7) 132909984 n (n - 7) 118641145 n (n - 7) - --------------------- + --------------------- - --------------------- n 10 n 10 n 10 n (n - 7) n (n - 7) 2 n (n - 7) 9 n 4 n 17 n 45715061 n (n - 7) 69873840 n (n - 7) n (n - 7) + -------------------- - -------------------- + --------------- n 10 n 10 n 10 2 n (n - 7) n (n - 7) 16 n (n - 7) 7 n 3 n 112248675 n (n - 7) 16329600 n (n - 7) + --------------------- + -------------------- n 10 n 10 n (n - 7) n (n - 7) 17 n n 16 n n 1001 n (n - 1) (n - 6) 12787 n (n - 1) (n - 6) - -------------------------- + --------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 15 n n 14 n n 109263 n (n - 1) (n - 6) 659181 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 13 n n 12 n n 2887043 n (n - 1) (n - 6) 9288001 n (n - 1) (n - 6) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 11 n n 10 n n 5482729 n (n - 1) (n - 6) 9374768 n (n - 1) (n - 6) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 11268264 n (n - 1) (n - 6) 9000828 n (n - 1) (n - 6) - ----------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 4272480 n (n - 1) (n - 6) 907200 n (n - 1) (n - 6) - ---------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 19 n n 18 n n n (n - 1) (n - 6) 47 n (n - 1) (n - 6) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 15 n 5 19 n 5 18 n 5 36 n ((n - 1) ) n ((n - 1) ) 10 n ((n - 1) ) + ------------------ + --------------- - ------------------ 14 n 5 14 n 5 14 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 10 n n 37 n ((n - 1) ) 60 n ((n - 1) ) 142797 n (n - 1) (n - 5) + ------------------ - ------------------ - ---------------------------- 14 n 5 14 n 5 4 n 2 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 5) 9 n n 8 n n 210858 n (n - 1) (n - 5) 199476 n (n - 1) (n - 5) + --------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 108864 n (n - 1) (n - 5) 25920 n (n - 1) (n - 5) + --------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n 3 n 19 n 3 n 3 n ((n - 1) ) (n - 3) 45 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 6 n 4 8 6 n 4 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 567 n ((n - 1) ) (n - 3) 1953 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 6 n 4 8 6 n 4 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 32067 n ((n - 1) ) (n - 3) 40005 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 4 8 6 n 4 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 29499 n ((n - 1) ) (n - 3) 23382 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 5 n 6 7560 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 2) n - ----------------------------- + ------------------ + ------------- 6 n 4 8 18 n 5 4 n (n - 1) (n ) (n - 3) (n - 1) (n ) 2 (n - 2) n n 5 n 4 n 3 15 n 3 (n - 2) n 11 (n - 2) n 3 (n - 2) n n (n - 5) - ------------- + -------------- - ------------- + --------------- 4 n 4 n 4 n n 10 (n - 2) n 2 (n - 2) n (n - 2) n 16 n (n - 5) 14 n 13 n 12 n 27 n (n - 5) 1301 n (n - 5) 9237 n (n - 5) - --------------- + ----------------- - ----------------- n 10 n 10 n 10 8 n (n - 5) 16 n (n - 5) 8 n (n - 5) 11 n 10 n 9 n 172023 n (n - 5) 552681 n (n - 5) 5019503 n (n - 5) + ------------------- - ------------------- + ------------------- n 10 n 10 n 10 16 n (n - 5) 8 n (n - 5) 16 n (n - 5) 8 n 7 n 6 n 8103411 n (n - 5) 9215089 n (n - 5) 7182573 n (n - 5) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 8 n (n - 5) 4 n (n - 5) 2 n (n - 5) 5 n 4 n 3 n 3631356 n (n - 5) 2129544 n (n - 5) 544320 n (n - 5) + ------------------- - ------------------- + ------------------ n 10 n 10 n 10 n (n - 5) n (n - 5) n (n - 5) 8 n n 7 n n 870 n (n - 1) (n - 3) 684 n (n - 1) (n - 3) - ------------------------ + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 216 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) - ------------------------ - ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 12 n n 39 n (n - 1) (n - 3) 21 n (n - 1) (n - 3) + ------------------------ - ------------------------- 4 n 2 4 2 n 2 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 357 n (n - 1) (n - 3) 2415 n (n - 1) (n - 3) + ------------------------- - -------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 9 n n 8 n n 8295 n (n - 1) (n - 3) 3801 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 3507 n (n - 1) (n - 3) 1260 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 288 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 207 n (n - 1) (n - 3) 573 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 5) 51 n ((n - 1) ) (n - 5) + -------------------------- - --------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 88461 n ((n - 1) ) (n - 5) 190107 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 1174839 n ((n - 1) ) (n - 5) 328512 n ((n - 1) ) (n - 5) + -------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 527637 n ((n - 1) ) (n - 5) 592848 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 441774 n ((n - 1) ) (n - 5) 195696 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 25 n 4 n 38880 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 8 n 3 6 10 n 5 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 35 n ((n - 1) ) (n - 3) 267 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 10 n 5 8 10 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 2337 n ((n - 1) ) (n - 3) 25977 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 10 n 5 8 10 n 5 8 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 95739 n ((n - 1) ) (n - 3) 59204 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 10 n 5 8 10 n 5 8 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 96964 n ((n - 1) ) (n - 3) 100488 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 59364 n ((n - 1) ) (n - 3) 15120 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 7 n n 3 n ((n - 1) ) (n - 4) 756 n (n - 1) (n - 4) - -------------------------- - ------------------------ 8 n 4 8 4 n 2 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n 3 n 216 n (n - 1) (n - 4) 7 n ((n - 1) ) (n - 2) + ------------------------ - -------------------------- 4 n 2 4 6 n 4 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 105 n ((n - 1) ) (n - 2) 595 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 4 6 6 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 1575 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 6 n 4 6 6 n 4 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 210 n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 3) + ---------------------------- + --------------------------- 6 n 4 6 4 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 357 n ((n - 1) ) (n - 3) 2415 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 8295 n ((n - 1) ) (n - 3) 3801 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 3507 n ((n - 1) ) (n - 3) 1260 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 21 n (n - 1) (n - 4) 105 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 1743 n (n - 1) (n - 4) 3885 n (n - 1) (n - 4) - -------------------------- + -------------------------- 2 n 2 6 2 n 2 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 40089 n (n - 1) (n - 4) 14910 n (n - 1) (n - 4) - -------------------------- + -------------------------- 2 n 2 6 2 n 2 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 11781 n (n - 1) (n - 4) 3780 n (n - 1) (n - 4) - -------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 177 n (n - 1) (n - 6) 3 n (n - 1) (n - 6) + --------------------------- - --------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 6) 16 (n - 1) (n ) (n - 6) 17 n n 15 n n 4713 n (n - 1) (n - 6) 793179 n (n - 1) (n - 6) - --------------------------- - ---------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 6) 16 (n - 1) (n ) (n - 6) 16 n n 14 n n 74937 n (n - 1) (n - 6) 5896431 n (n - 1) (n - 6) + --------------------------- + ----------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 6) 16 (n - 1) (n ) (n - 6) 13 n n 9 n n 31638939 n (n - 1) (n - 6) 129526731 n (n - 1) (n - 6) - ------------------------------ - ------------------------------ 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 8 n n 11 n n 60858972 n (n - 1) (n - 6) 176841699 n (n - 1) (n - 6) + ----------------------------- - ------------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 12 n n 7 n n 123913011 n (n - 1) (n - 6) 33576120 n (n - 1) (n - 6) + ------------------------------- - ----------------------------- 2 n 2 10 2 n 2 10 16 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 181321773 n (n - 1) (n - 6) 8164800 n (n - 1) (n - 6) + ------------------------------- + ---------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 26 n 6 25 n 6 24 n 6 3 n ((n - 1) ) 15 n ((n - 1) ) 261 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 20 n 6 20 n 6 20 n 6 16 (n - 1) (n ) 4 (n - 1) (n ) 8 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 645 n ((n - 1) ) 7923 n ((n - 1) ) 1935 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 20 n 6 20 n 6 20 n 6 4 (n - 1) (n ) 16 (n - 1) (n ) 2 (n - 1) (n ) 20 n 6 19 n 6 15 n n 2349 n ((n - 1) ) 810 n ((n - 1) ) 9 n (n - 1) (n - 4) - -------------------- + ------------------- - ------------------------- 20 n 6 20 n 6 2 n 2 8 2 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 9 n 297 n (n - 1) (n - 4) 1053 n (n - 1) (n - 4) 7 n (n - 3) + ------------------------- - -------------------------- + ------------- 2 n 2 8 2 n 2 8 n 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 4 n (n - 3) 8 n 7 n 6 n 5 n 119 n (n - 3) 805 n (n - 3) 2765 n (n - 3) 1267 n (n - 3) - --------------- + --------------- - ---------------- + ---------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) n (n - 3) 4 n 3 n 21 n 2 n 1169 n (n - 3) 420 n (n - 3) 3 n ((n - 1) ) (n - 5) - ---------------- + --------------- + -------------------------- n 6 n 6 6 n 3 8 n (n - 3) n (n - 3) 4 (n - 1) (n ) (n - 5) 20 n 2 n 25 n 5 n 63 n ((n - 1) ) (n - 5) 291 n ((n - 1) ) (n - 2) - --------------------------- - ---------------------------- 6 n 3 8 18 n 6 2 2 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 2) 24 n 5 n 19 n 5 n 1551 n ((n - 1) ) (n - 2) 1053 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 18 n 6 2 18 n 6 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 243 n ((n - 1) ) (n - 2) 10503 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 18 n 6 2 18 n 6 2 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 23403 n ((n - 1) ) (n - 2) 2142 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 18 n 6 2 18 n 6 2 16 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 27 n 5 n 3969 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 18 n 6 2 18 n 6 2 2 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 26 n 5 n 23 n 4 n 63 n ((n - 1) ) (n - 2) 59 n ((n - 1) ) (n - 3) + --------------------------- + --------------------------- 18 n 6 2 16 n 5 2 16 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 22 n 4 n 16 n 4 n 711 n ((n - 1) ) (n - 3) 783 n ((n - 1) ) (n - 3) - ---------------------------- - ---------------------------- 16 n 5 2 16 n 5 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 21 n 4 n 162 n ((n - 1) ) (n - 3) 5569 n ((n - 1) ) (n - 3) + ---------------------------- + ----------------------------- 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 14803 n ((n - 1) ) (n - 3) 13513 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 4 n 21 n 3 n 4179 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ----------------------------- - -------------------------- 16 n 5 2 12 n 4 4 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 21 n ((n - 1) ) (n - 2) 97 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 517 n ((n - 1) ) (n - 2) 3501 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) and in Maple notation -162*n^18*((n-1)^n)^6/(n-1)^18/(n^n)^6-3/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/ (n-2)^4+9*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-33/2*n^7*(n-1)^n/(n-1)^2/ (n^n)^2*(n-2)^n/(n-2)^4+9*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-150183/8* n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+269955/4*n^18*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-4)^n/(n-4)^6-1364877/8*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4) ^n/(n-4)^6+606195/2*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6-370521*n^ 15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+296460*n^14*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-4)^n/(n-4)^6-139482*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-\ 4)^6+29160*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+1569/8*n^19*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6-3609/2*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-5)^n/(n-5)^6+1620*n^18*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^6-19815/8*n ^23*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^6-3/8*n^27*((n-1)^n)^5/(n-1)^14/ (n^n)^6*(n-2)^n/(n-2)^6+75/8*n^26*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^6-\ 102*n^25*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^6+2535/4*n^24*((n-1)^n)^5/( n-1)^14/(n^n)^6*(n-2)^n/(n-2)^6+89865/8*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3) ^n/(n-3)^6-270315/8*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6+138483/2* n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6-95373*n^18*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-3)^n/(n-3)^6+84402*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3 )^6-43254*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6+9720*n^15*((n-1)^n) ^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6+9/8*n^25*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3) ^n/(n-3)^6-243/8*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6+1449/4*n^23* ((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6-10053/4*n^22*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-3)^n/(n-3)^6-3627/8*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^ 6+3600*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6-9/8*n^23*((n-1)^n)^3/( n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+135/4*n^22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n /(n-4)^6-69/4*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4-305/4*n^21*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+1065/2*n^20*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-4)^n/(n-4)^4-9835/4*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+ 15755/2*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4-71435/4*n^17*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+57255/2*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-4)^n/(n-4)^4-31770*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+23220*n ^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4-10044*n^13*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^4+1944*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4) ^4-1/4*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+13/2*n^22*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+50475/8*n^22*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2 )^n/(n-2)^6-41847/4*n^21*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^6+21735/2*n ^20*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^6-6399*n^19*((n-1)^n)^5/(n-1)^14 /(n^n)^6*(n-2)^n/(n-2)^6-3/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+12*n^ 9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-69/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3 )^n/(n-3)^4+42*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-18*n^6*(n-1)^n/(n-1) ^2/(n^n)^2*(n-3)^n/(n-3)^4+207*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4 -573*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+870*n^11*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-3)^n/(n-3)^4-684*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^ 4+216*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+3*n^15*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-3)^n/(n-3)^4-39*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-\ 243*n^18*((n-1)^n)^6/(n-1)^20/(n^n)^6+3/4/(n^n)*n^14*(n-6)^n/(n-6)^8-63/2/(n^n) *n^13*(n-6)^n/(n-6)^8+2355/4/(n^n)*n^12*(n-6)^n/(n-6)^8-12915/2/(n^n)*n^11*(n-6 )^n/(n-6)^8+184509/4/(n^n)*n^10*(n-6)^n/(n-6)^8-450009/2/(n^n)*n^9*(n-6)^n/(n-6 )^8+3053985/4/(n^n)*n^8*(n-6)^n/(n-6)^8-3596985/2/(n^n)*n^7*(n-6)^n/(n-6)^8+ 2874747/(n^n)*n^6*(n-6)^n/(n-6)^8-2959614/(n^n)*n^5*(n-6)^n/(n-6)^8+1758240/(n^ n)*n^4*(n-6)^n/(n-6)^8-453600/(n^n)*n^3*(n-6)^n/(n-6)^8+7801/4*n^16*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-2856*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^ n/(n-2)^4+2646*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-1404*n^13*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+324*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-2)^n/(n-2)^4+29955/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-90105/ 8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+46161/2*n^13*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-3)^n/(n-3)^6-31791*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^6+28134*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-14418*n^10*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+3240*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^ n/(n-3)^6+3/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-81/8*n^18*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+483/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -3)^n/(n-3)^6-3351/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-3/4*n^24* ((n-1)^n)^6/(n-1)^18/(n^n)^6+45/4*n^23*((n-1)^n)^6/(n-1)^18/(n^n)^6-279/4*n^22* ((n-1)^n)^6/(n-1)^18/(n^n)^6+915/4*n^21*((n-1)^n)^6/(n-1)^18/(n^n)^6-837/2*n^20 *((n-1)^n)^6/(n-1)^18/(n^n)^6+405*n^19*((n-1)^n)^6/(n-1)^18/(n^n)^6-1/4*n^17*(n -1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+19/2*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n /(n-4)^8-639/4*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+1569*n^14*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+8568*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/( n-2)^4-7938*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4+4212*n^16*((n-1)^ n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-972*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 2)^n/(n-2)^4-40539/2*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4+25074*n^ 15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4-20088*n^14*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-3)^n/(n-3)^4+9396*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4 -1944*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4-177*n^20*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-3)^n/(n-3)^4+2133/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n /(n-3)^4-16707/4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4+44409/4*n^17 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4-39999/4*n^13*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^8+86835/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-524033 /4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+274576*n^10*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^8-391380*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+360828* n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-193212*n^7*(n-1)^n/(n-1)^4/(n^n)^2* (n-4)^n/(n-4)^8+45360*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+486*n^21*((n-\ 1)^n)^7/(n-1)^22/(n^n)^7-3/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4+ 69/4*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^4-89865/8*n^18*((n-1)^n)^3 /(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+270315/8*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n -3)^n/(n-3)^6-138483/2*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+95373* n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-84402*n^14*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-3)^n/(n-3)^6+43254*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3 )^6-9720*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-9/8*n^22*((n-1)^n)^3 /(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+243/8*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3) ^n/(n-3)^6-1449/4*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+10053/4*n^ 19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+3627/8*n^18*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-4)^n/(n-4)^6-3600*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+ 9/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-135/4*n^19*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-4)^n/(n-4)^6+150183/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/ (n-4)^6-269955/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+1364877/8*n^ 14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-606195/2*n^13*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-4)^n/(n-4)^6+370521*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4) ^6-296460*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+139482*n^10*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-29160*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4) ^n/(n-4)^6+3/4*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-57/2*n^19*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+1917/4*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-4)^n/(n-4)^8-4707*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+119997/4* n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-260505/2*n^15*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-4)^n/(n-4)^8+1572099/4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/ (n-4)^8-823728*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+1174140*n^12*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-1082484*n^11*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-4)^n/(n-4)^8+579636*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-\ 136080*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-2373/4*n^16*(n-1)^n/(n-1 )^4/(n^n)^2*(n-5)^n/(n-5)^8+6624*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-\ 195309/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+500499/2*n^13*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-5)^n/(n-5)^8-3656139/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-\ 5)^8+2395827*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-4469052*n^10*(n-1)^n/ (n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+5779044*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-\ 5)^8-4909572*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+2454624*n^7*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^8-544320*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 8-3/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+63/2*n^17*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^8-3/16*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+81/8*n ^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-3903/16*n^16*(n-1)^n/(n-1)^2/(n^n) ^2*(n-5)^n/(n-5)^10+27711/8*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-\ 516069/16*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+1658043/8*n^13*(n-1)^n/ (n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-15058509/16*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5) ^n/(n-5)^10+24310233/8*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-27645267/4 *n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+21547719/2*n^9*(n-1)^n/(n-1)^2/( n^n)^2*(n-5)^n/(n-5)^10-10894068*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+ 6388632*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-1632960*n^6*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-5)^n/(n-5)^10+291/8*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2 )^2-1551/8*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+1053*n^16*((n-1)^n )^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-243*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2 )^n/(n-2)^2+10503/16*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-23403/16 *n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+2142*n^18*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-2)^n/(n-2)^2-3969/2*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-\ 2)^2+3/16*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-63/16*n^23*((n-1)^n )^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+3/4*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2 )^n/(n-2)^4-63/4*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4+291/2*n^22*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-1551/2*n^21*((n-1)^n)^4/(n-1)^14/(n ^n)^5*(n-2)^n/(n-2)^4+10503/4*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4 -23403/4*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-3/2*n^16*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-5)^n/(n-5)^6+87/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6-\ 558*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+4167*n^13*(n-1)^n/(n-1)^4/(n^n )^2*(n-5)^n/(n-5)^6-40095/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+129735 /2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+3/2*n^22*((n-1)^n)^4/(n-1)^10/( n^n)^5*(n-2)^n/(n-2)^6-30*n^21*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6-927 *n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6+4824*n^17*((n-1)^n)^3/(n-1)^8 /(n^n)^4*(n-3)^n/(n-3)^6-30501/2*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3) ^6+29961*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6-35658*n^14*((n-1)^n)^ 3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6+23436*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^ n/(n-3)^6-6480*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6-9/2*n^20*((n-1) ^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6+99*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3) ^n/(n-3)^6+9/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-225/2*n^17*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6+1224*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-4)^n/(n-4)^6-7605*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6+59445/2*n^ 14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-151425/2*n^13*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-4)^n/(n-4)^6+125541*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4) ^6-130410*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6+76788*n^10*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-19440*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^ n/(n-4)^6-315*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+2763/2*n^17*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+3/4*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-4)^n/(n-4)^4-63/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4+291/2*n^ 16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4-1551/2*n^15*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-4)^n/(n-4)^4+10503/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^ 4-23403/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4+8568*n^12*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4-7938*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^4+4212*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4-972*n^9*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^4-1110*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2 )^n/(n-2)^6+5727/2*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6-4260*n^17* ((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6+3366*n^16*((n-1)^n)^4/(n-1)^10/(n^ n)^5*(n-2)^n/(n-2)^6-1080*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6+249 *n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^6+9/4*n^22*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-2)^n/(n-2)^4-36*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4 +243*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4-1791/2*n^19*((n-1)^n)^4/ (n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4+7767/4*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2) ^n/(n-2)^4-4941/2*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4+1701*n^16*( (n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^4-486*n^15*((n-1)^n)^4/(n-1)^12/(n^n) ^5*(n-2)^n/(n-2)^4-14931/4*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+ 6354*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4-6642*n^14*((n-1)^n)^3/(n -1)^10/(n^n)^4*(n-3)^n/(n-3)^4+3888*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/( n-3)^4-972*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4-9/4*n^20*((n-1)^n) ^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^4+81/2*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3 )^n/(n-3)^4-n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+11*n^10*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-2)^n/(n-2)^4-47*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+97*n^8 *(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-96*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n /(n-2)^4+36*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+9/4/(n^n)*n^13*(n-5)^n/ (n-5)^8-333/4/(n^n)*n^12*(n-5)^n/(n-5)^8+1350/(n^n)*n^11*(n-5)^n/(n-5)^8-25245/ 2/(n^n)*n^10*(n-5)^n/(n-5)^8+301077/4/(n^n)*n^9*(n-5)^n/(n-5)^8-1194669/4/(n^n) *n^8*(n-5)^n/(n-5)^8+1594305/2/(n^n)*n^7*(n-5)^n/(n-5)^8-1409715/(n^n)*n^6*(n-5 )^n/(n-5)^8+1575666/(n^n)*n^5*(n-5)^n/(n-5)^8-1000512/(n^n)*n^4*(n-5)^n/(n-5)^8 +272160/(n^n)*n^3*(n-5)^n/(n-5)^8+3/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/ (n-2)^4-9*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+33/2*n^10*((n-1)^n)^ 2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-9*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-\ 2)^4-3*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+33*n^16*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-2)^n/(n-2)^4-141*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2) ^4+291*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-288*n^13*((n-1)^n)^3/(n -1)^8/(n^n)^4*(n-2)^n/(n-2)^4+108*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2 )^4-n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+16*n^12*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-4)^n/(n-4)^4-108*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+398*n^10*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4-863*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^4+1098*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+3/2/(n^n)*n^7*(n-3)^n/(n -3)^4-12/(n^n)*n^6*(n-3)^n/(n-3)^4+69/2/(n^n)*n^5*(n-3)^n/(n-3)^4-42/(n^n)*n^4* (n-3)^n/(n-3)^4+18/(n^n)*n^3*(n-3)^n/(n-3)^4-29961*n^12*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-3)^n/(n-3)^6+35658*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-\ 23436*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+6480*n^9*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-3)^n/(n-3)^6+9/2*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3) ^6-99*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-9/2*n^15*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^6+225/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-\ 1224*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+7605*n^12*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^6-59445/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+ 151425/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-125541*n^9*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^6+130410*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-\ 76788*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+19440*n^6*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^6-3*n^12*((n-1)^n)^4/(n-1)^10/(n^n)^4+9/4*n^18*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-297/4*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/( n-4)^8+1053*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-16821/2*n^15*((n-1 )^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+166509/4*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^ 3*(n-4)^n/(n-4)^8-528633/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+ 537039/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-335637*n^11*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+233118*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4 )^n/(n-4)^8-68040*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-9/4*n^16*(n-1 )^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+333/4*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/ (n-5)^8-1350*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+25245/2*n^13*(n-1)^n/ (n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-301077/4*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/( n-5)^8+1194669/4*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-1594305/2*n^10*(n -1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+1409715*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5) ^n/(n-5)^8-1575666*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+1000512*n^7*(n-1 )^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-272160*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/ (n-5)^8-162*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-309*n^12*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1608*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6 -10167/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+9987*n^9*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^6-11886*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+7812* n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-2160*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n -3)^n/(n-3)^6-3/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+33*n^13*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+57/2*n^22*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/( n-4)^8-1917/4*n^21*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8+4707*n^20*((n-1) ^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8-119997/4*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4 *(n-4)^n/(n-4)^8+260505/2*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8-\ 1572099/4*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8+823728*n^16*((n-1)^n )^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8-1174140*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n -4)^n/(n-4)^8+1082484*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8-579636*n ^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8+136080*n^12*((n-1)^n)^3/(n-1)^8 /(n^n)^4*(n-4)^n/(n-4)^8+2373/4*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^ 8-6624*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8+195309/4*n^17*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8-500499/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -5)^n/(n-5)^8+3656139/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8-\ 2395827*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8+4469052*n^13*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8-5779044*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 5)^n/(n-5)^8+4909572*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8-2454624*n ^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8+544320*n^9*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-5)^n/(n-5)^8-9/4*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+ 36*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-243*n^17*((n-1)^n)^3/(n-1) ^10/(n^n)^4*(n-2)^n/(n-2)^4+1791/2*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n -2)^4-7767/4*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+4941/2*n^14*((n-\ 1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-1701*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4 *(n-2)^n/(n-2)^4+486*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+14931/4* n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-6354*n^12*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^4+6642*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-\ 3888*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+972*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^4+9/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4 -81/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+315*n^15*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-3)^n/(n-3)^4-2763/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n -3)^4+927*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-4824*n^14*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+30501/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3 )^n/(n-3)^6-177/16/(n^n)*n^15*(n-6)^n/(n-6)^10+3/16/(n^n)*n^16*(n-6)^n/(n-6)^10 +4713/16/(n^n)*n^14*(n-6)^n/(n-6)^10+793179/16/(n^n)*n^12*(n-6)^n/(n-6)^10-\ 74937/16/(n^n)*n^13*(n-6)^n/(n-6)^10-5896431/16/(n^n)*n^11*(n-6)^n/(n-6)^10+ 31638939/16/(n^n)*n^10*(n-6)^n/(n-6)^10+129526731/2/(n^n)*n^6*(n-6)^n/(n-6)^10-\ 60858972/(n^n)*n^5*(n-6)^n/(n-6)^10+176841699/8/(n^n)*n^8*(n-6)^n/(n-6)^10-\ 123913011/16/(n^n)*n^9*(n-6)^n/(n-6)^10+33576120/(n^n)*n^4*(n-6)^n/(n-6)^10-\ 181321773/4/(n^n)*n^7*(n-6)^n/(n-6)^10-8164800/(n^n)*n^3*(n-6)^n/(n-6)^10+3/4*n ^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-12*n^15*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^4+81*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/2* n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+2589/4*n^12*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-2)^n/(n-2)^4-1647/2*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2) ^4+567*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+16821/2*n^12*(n-1)^n/(n -1)^2/(n^n)^2*(n-4)^n/(n-4)^8-166509/4*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-\ 4)^8+528633/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-537039/2*n^9*(n-1)^n /(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+335637*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-\ 4)^8-233118*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+68040*n^6*(n-1)^n/(n-1) ^2/(n^n)^2*(n-4)^n/(n-4)^8+21/4/(n^n)*n^10*(n-4)^n/(n-4)^6-105/(n^n)*n^9*(n-4)^ n/(n-4)^6+1743/2/(n^n)*n^8*(n-4)^n/(n-4)^6-3885/(n^n)*n^7*(n-4)^n/(n-4)^6+40089 /4/(n^n)*n^6*(n-4)^n/(n-4)^6-14910/(n^n)*n^5*(n-4)^n/(n-4)^6+11781/(n^n)*n^4*(n -4)^n/(n-4)^6-3780/(n^n)*n^3*(n-4)^n/(n-4)^6+3/16*n^21*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-5)^n/(n-5)^10-81/8*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+ 3903/16*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10-27711/8*n^18*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+516069/16*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3 *(n-5)^n/(n-5)^10-1658043/8*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+ 15058509/16*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10-24310233/8*n^14*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+27645267/4*n^13*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-5)^n/(n-5)^10-21547719/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/( n-5)^10+10894068*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10-6388632*n^10 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+1632960*n^9*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-5)^n/(n-5)^10+1/16*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^5-5/4*n^22*((n-1)^ n)^5/(n-1)^18/(n^n)^5+87/8*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^5-215/4*n^20*((n-1)^ n)^5/(n-1)^18/(n^n)^5+1674*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2+1/ 16*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-23/16*n^24*((n-1)^n)^4/(n-\ 1)^16/(n^n)^5*(n-3)^n/(n-3)^2-3/4*n^27*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-\ 2)^4+63/4*n^26*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4-291/2*n^25*((n-1)^n )^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+1551/2*n^24*((n-1)^n)^5/(n-1)^16/(n^n)^6*( n-2)^n/(n-2)^4-10503/4*n^23*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+23403/ 4*n^22*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4-8568*n^21*((n-1)^n)^5/(n-1) ^16/(n^n)^6*(n-2)^n/(n-2)^4+7938*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2 )^4-4212*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+972*n^18*((n-1)^n)^5 /(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+40539/2*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 3)^n/(n-3)^4-25074*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+20088*n^17 *((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4-9396*n^16*((n-1)^n)^4/(n-1)^14/(n ^n)^5*(n-3)^n/(n-3)^4+1944*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+ 177*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4-2133/2*n^22*((n-1)^n)^4/( n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+16707/4*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3) ^n/(n-3)^4-44409/4*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+3/4*n^25*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+2641/16*n^19*((n-1)^n)^5/(n-1)^18/( n^n)^5-645/2*n^18*((n-1)^n)^5/(n-1)^18/(n^n)^5+783/2*n^17*((n-1)^n)^5/(n-1)^18/ (n^n)^5-270*n^16*((n-1)^n)^5/(n-1)^18/(n^n)^5+3/8*n^29*((n-1)^n)^7/(n-1)^22/(n^ n)^7-15/2*n^28*((n-1)^n)^7/(n-1)^22/(n^n)^7+261/4*n^27*((n-1)^n)^7/(n-1)^22/(n^ n)^7-645/2*n^26*((n-1)^n)^7/(n-1)^22/(n^n)^7+7923/8*n^25*((n-1)^n)^7/(n-1)^22/( n^n)^7-1935*n^24*((n-1)^n)^7/(n-1)^22/(n^n)^7+2349*n^23*((n-1)^n)^7/(n-1)^22/(n ^n)^7-1620*n^22*((n-1)^n)^7/(n-1)^22/(n^n)^7-1/16*n^23*((n-1)^n)^3/(n-1)^6/(n^n )^4*(n-4)^n/(n-4)^10+25/8*n^22*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10-\ 1101/16*n^21*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10+7035/8*n^20*((n-1)^n) ^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10-115743/16*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4* (n-4)^n/(n-4)^10+321195/8*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10-\ 2449943/16*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10+3203525/8*n^16*((n -1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10-2808039/4*n^15*((n-1)^n)^3/(n-1)^6/(n ^n)^4*(n-4)^n/(n-4)^10+1566495/2*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4) ^10-498366*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10+136080*n^12*((n-1) ^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^10+3/4/(n^n)*n^12*(n-4)^n/(n-4)^8-99/4/(n^n )*n^11*(n-4)^n/(n-4)^8+351/(n^n)*n^10*(n-4)^n/(n-4)^8-5607/2/(n^n)*n^9*(n-4)^n/ (n-4)^8+55503/4/(n^n)*n^8*(n-4)^n/(n-4)^8-176211/4/(n^n)*n^7*(n-4)^n/(n-4)^8+ 179013/2/(n^n)*n^6*(n-4)^n/(n-4)^8-111879/(n^n)*n^5*(n-4)^n/(n-4)^8+77706/(n^n) *n^4*(n-4)^n/(n-4)^8-22680/(n^n)*n^3*(n-4)^n/(n-4)^8+7/4/(n^n)*n^11*(n-5)^n/(n-\ 5)^6-42/(n^n)*n^10*(n-5)^n/(n-5)^6+861/2/(n^n)*n^9*(n-5)^n/(n-5)^6-2457/(n^n)*n ^8*(n-5)^n/(n-5)^6+34083/4/(n^n)*n^7*(n-5)^n/(n-5)^6-18333/(n^n)*n^6*(n-5)^n/(n -5)^6+23807/(n^n)*n^5*(n-5)^n/(n-5)^6-16968/(n^n)*n^4*(n-5)^n/(n-5)^6+5040/(n^n )*n^3*(n-5)^n/(n-5)^6-1/2*n^14*((n-1)^n)^4/(n-1)^10/(n^n)^4+5/2*n^13*((n-1)^n)^ 4/(n-1)^10/(n^n)^4+1/2/(n^n)*n^8*(n-4)^n/(n-4)^4-11/2/(n^n)*n^7*(n-4)^n/(n-4)^4 +47/2/(n^n)*n^6*(n-4)^n/(n-4)^4-97/2/(n^n)*n^5*(n-4)^n/(n-4)^4+48/(n^n)*n^4*(n-\ 4)^n/(n-4)^4-18/(n^n)*n^3*(n-4)^n/(n-4)^4+1925/16/(n^n)*n^15*(n-7)^n/(n-7)^10-\ 65/16/(n^n)*n^16*(n-7)^n/(n-7)^10-34405/16/(n^n)*n^14*(n-7)^n/(n-7)^10-3551835/ 16/(n^n)*n^12*(n-7)^n/(n-7)^10+414267/16/(n^n)*n^13*(n-7)^n/(n-7)^10+22339175/ 16/(n^n)*n^11*(n-7)^n/(n-7)^10-104582215/16/(n^n)*n^10*(n-7)^n/(n-7)^10-\ 149813055/(n^n)*n^6*(n-7)^n/(n-7)^10+132909984/(n^n)*n^5*(n-7)^n/(n-7)^10-\ 118641145/2/(n^n)*n^8*(n-7)^n/(n-7)^10+45715061/2/(n^n)*n^9*(n-7)^n/(n-7)^10-\ 69873840/(n^n)*n^4*(n-7)^n/(n-7)^10+1/16/(n^n)*n^17*(n-7)^n/(n-7)^10+112248675/ (n^n)*n^7*(n-7)^n/(n-7)^10+16329600/(n^n)*n^3*(n-7)^n/(n-7)^10-1001/4*n^17*(n-1 )^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+12787/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^ n/(n-6)^8-109263/4*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+659181/4*n^14*( n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8-2887043/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*( n-6)^n/(n-6)^8+9288001/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8-5482729*n ^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+9374768*n^10*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-6)^n/(n-6)^8-11268264*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+9000828* n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8-4272480*n^7*(n-1)^n/(n-1)^4/(n^n)^2 *(n-6)^n/(n-6)^8+907200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8-1/4*n^19*(n -1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+47/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n /(n-6)^8+36*n^15*((n-1)^n)^5/(n-1)^14/(n^n)^5+n^19*((n-1)^n)^5/(n-1)^14/(n^n)^5 -10*n^18*((n-1)^n)^5/(n-1)^14/(n^n)^5+37*n^17*((n-1)^n)^5/(n-1)^14/(n^n)^5-60*n ^16*((n-1)^n)^5/(n-1)^14/(n^n)^5-142797*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^6+210858*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6-199476*n^8*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-5)^n/(n-5)^6+108864*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6 -25920*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6-3/4*n^20*((n-1)^n)^3/(n-1)^6 /(n^n)^4*(n-3)^n/(n-3)^8+45/2*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-\ 567/2*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+1953*n^17*((n-1)^n)^3/(n -1)^6/(n^n)^4*(n-3)^n/(n-3)^8-32067/4*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/ (n-3)^8+40005/2*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-29499*n^14*((n -1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+23382*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4 *(n-3)^n/(n-3)^8-7560*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+81*n^15* ((n-1)^n)^5/(n-1)^18/(n^n)^5+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n ^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3+1/16/(n^n)*n ^15*(n-5)^n/(n-5)^10-27/8/(n^n)*n^14*(n-5)^n/(n-5)^10+1301/16/(n^n)*n^13*(n-5)^ n/(n-5)^10-9237/8/(n^n)*n^12*(n-5)^n/(n-5)^10+172023/16/(n^n)*n^11*(n-5)^n/(n-5 )^10-552681/8/(n^n)*n^10*(n-5)^n/(n-5)^10+5019503/16/(n^n)*n^9*(n-5)^n/(n-5)^10 -8103411/8/(n^n)*n^8*(n-5)^n/(n-5)^10+9215089/4/(n^n)*n^7*(n-5)^n/(n-5)^10-\ 7182573/2/(n^n)*n^6*(n-5)^n/(n-5)^10+3631356/(n^n)*n^5*(n-5)^n/(n-5)^10-2129544 /(n^n)*n^4*(n-5)^n/(n-5)^10+544320/(n^n)*n^3*(n-5)^n/(n-5)^10-870*n^8*(n-1)^n/( n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+684*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-\ 216*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-3*n^12*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^4+39*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-21/4*n^12*(n-1) ^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+357/4*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/( n-3)^6-2415/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+8295/4*n^9*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-3801*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6 +3507*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-1260*n^6*(n-1)^n/(n-1)^2/(n^n )^2*(n-3)^n/(n-3)^6+3*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-33*n^13* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+141*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-2)^n/(n-2)^4-291*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+288*n^10 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-108*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-2)^n/(n-2)^4-207*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+573*n^9*(n-1 )^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+3/8*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^ n/(n-5)^6-51/4*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+88461/8*n^17*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6-190107/4*n^16*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^6+1174839/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6 -328512*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+527637*n^13*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6-592848*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5) ^n/(n-5)^6+441774*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6-195696*n^10* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+38880*n^9*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-5)^n/(n-5)^6+1/4*n^25*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^8-35/4*n ^24*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^8+267/2*n^23*((n-1)^n)^4/(n-1)^ 10/(n^n)^5*(n-3)^n/(n-3)^8-2337/2*n^22*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-\ 3)^8+25977/4*n^21*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^8-95739/4*n^20*((n -1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^8+59204*n^19*((n-1)^n)^4/(n-1)^10/(n^n) ^5*(n-3)^n/(n-3)^8-96964*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^8+ 100488*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^8-59364*n^16*((n-1)^n)^4 /(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^8+15120*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3) ^n/(n-3)^8-3/4*n^23*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8-756*n^7*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+216*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 4-7/4*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6+105/4*n^16*((n-1)^n)^3/( n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6-595/4*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/( n-2)^6+1575/4*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6-959/2*n^13*((n-1 )^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^6+210*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-\ 2)^n/(n-2)^6+21/4*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-357/4*n^14*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+2415/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-3)^n/(n-3)^6-8295/4*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+ 3801*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-3507*n^10*((n-1)^n)^2/(n-\ 1)^4/(n^n)^3*(n-3)^n/(n-3)^6+1260*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3) ^6-21/4*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+105*n^12*(n-1)^n/(n-1)^2/( n^n)^2*(n-4)^n/(n-4)^6-1743/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+3885 *n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-40089/4*n^9*(n-1)^n/(n-1)^2/(n^n) ^2*(n-4)^n/(n-4)^6+14910*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-11781*n^7* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+3780*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^ n/(n-4)^6+177/16*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-3/16*n^19*(n-1)^ n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-4713/16*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n /(n-6)^10-793179/16*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+74937/16*n^16 *(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+5896431/16*n^14*(n-1)^n/(n-1)^2/(n^n) ^2*(n-6)^n/(n-6)^10-31638939/16*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-\ 129526731/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+60858972*n^8*(n-1)^n/( n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-176841699/8*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^ n/(n-6)^10+123913011/16*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-33576120* n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+181321773/4*n^10*(n-1)^n/(n-1)^2/( n^n)^2*(n-6)^n/(n-6)^10+8164800*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-3/ 16*n^26*((n-1)^n)^6/(n-1)^20/(n^n)^6+15/4*n^25*((n-1)^n)^6/(n-1)^20/(n^n)^6-261 /8*n^24*((n-1)^n)^6/(n-1)^20/(n^n)^6+645/4*n^23*((n-1)^n)^6/(n-1)^20/(n^n)^6-\ 7923/16*n^22*((n-1)^n)^6/(n-1)^20/(n^n)^6+1935/2*n^21*((n-1)^n)^6/(n-1)^20/(n^n )^6-2349/2*n^20*((n-1)^n)^6/(n-1)^20/(n^n)^6+810*n^19*((n-1)^n)^6/(n-1)^20/(n^n )^6-9/4*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+297/4*n^14*(n-1)^n/(n-1)^2 /(n^n)^2*(n-4)^n/(n-4)^8-1053*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+7/4/ (n^n)*n^9*(n-3)^n/(n-3)^6-119/4/(n^n)*n^8*(n-3)^n/(n-3)^6+805/4/(n^n)*n^7*(n-3) ^n/(n-3)^6-2765/4/(n^n)*n^6*(n-3)^n/(n-3)^6+1267/(n^n)*n^5*(n-3)^n/(n-3)^6-1169 /(n^n)*n^4*(n-3)^n/(n-3)^6+420/(n^n)*n^3*(n-3)^n/(n-3)^6+3/4*n^21*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8-63/2*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n -5)^8-291/8*n^25*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2+1551/8*n^24*((n-1 )^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2-1053*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^6* (n-2)^n/(n-2)^2+243*n^18*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2-10503/16* n^23*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2+23403/16*n^22*((n-1)^n)^5/(n-\ 1)^18/(n^n)^6*(n-2)^n/(n-2)^2-2142*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n -2)^2+3969/2*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2-3/16*n^27*((n-1) ^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2+63/16*n^26*((n-1)^n)^5/(n-1)^18/(n^n)^6* (n-2)^n/(n-2)^2+59/4*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-711/8*n^ 22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-783*n^16*((n-1)^n)^4/(n-1)^16/( n^n)^5*(n-3)^n/(n-3)^2+162*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2+ 5569/16*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-14803/16*n^20*((n-1)^ n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2+13513/8*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-3)^n/(n-3)^2-4179/2*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-1/4*n ^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+21/4*n^20*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-2)^n/(n-2)^4-97/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4 +517/2*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-3501/4*n^17*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4 The, 4, 1, mixed moment of, X[1], and , X[3], is 15 n 5 9 n n 8 n n 12 n ((n - 1) ) 2 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) ------------------ - ----------------------- + ----------------------- 12 n 5 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 22 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 3 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 69 n ((n - 1) ) (n - 3) 84 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 36 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) + -------------------------- - ----------------------- 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 22 n (n - 1) (n - 4) 94 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 194 n (n - 1) (n - 4) 192 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 14 n 3 n 72 n (n - 1) (n - 4) 18 n ((n - 1) ) (n - 2) + ----------------------- + --------------------------- 2 n 2 4 8 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 33 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 8 n 4 2 8 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 66 n ((n - 1) ) (n - 2) 36 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 2 n ((n - 1) ) (n - 3) 16 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 46 n ((n - 1) ) (n - 3) 56 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 6 n 3 2 6 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 7 n n 24 n ((n - 1) ) (n - 3) 77 n (n - 1) (n - 2) + -------------------------- - ------------------------- 6 n 3 2 4 n 2 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 6 n n 9 n n 21 n (n - 1) (n - 2) 7 n (n - 1) (n - 2) + ----------------------- - ------------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 8 n n 21 n (n - 1) (n - 2) 69 n (n - 1) (n - 3) + ----------------------- - ----------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 7 n n 6 n n 84 n (n - 1) (n - 3) 36 n (n - 1) (n - 3) + ----------------------- - ----------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 3 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) - ----------------------- + ----------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 47 n (n - 1) (n - 4) 97 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 2 4 n 2 2 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 7 n n 6 n n 48 n (n - 1) (n - 4) 18 n (n - 1) (n - 4) - ----------------------- + ----------------------- 4 n 2 2 4 n 2 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n n (n - 1) (n - 4) 11 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 2 4 n 2 2 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 2 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 22 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 17 n 5 16 n 5 3 n ((n - 1) ) (n - 2) 2 n ((n - 1) ) 10 n ((n - 1) ) - -------------------------- + ----------------- - ------------------ 8 n 4 2 12 n 5 12 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 11 n 3 10 n 3 9 n 3 2 n ((n - 1) ) 10 n ((n - 1) ) 12 n ((n - 1) ) + ----------------- - ------------------ + ----------------- 8 n 3 8 n 3 8 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 6 n 2 8 n 2 7 n 2 9 n 3 n ((n - 1) ) n ((n - 1) ) 5 n ((n - 1) ) n (n - 5) - ---------------- - ---------------- + ---------------- + ------------- 6 n 2 6 n 2 6 n 2 n 4 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 2 n (n - 5) 8 n 7 n 6 n 5 n 15 n (n - 5) 91 n (n - 5) 285 n (n - 5) 242 n (n - 5) - -------------- + -------------- - --------------- + --------------- n 4 n 4 n 4 n 4 2 n (n - 5) 2 n (n - 5) 2 n (n - 5) n (n - 5) 4 n 3 n 10 n n 210 n (n - 5) 72 n (n - 5) 6 n (n - 1) (n - 3) - --------------- + -------------- - ----------------------- n 4 n 4 2 n 2 4 n (n - 5) n (n - 5) (n - 1) (n ) (n - 3) 9 n n 8 n n 48 n (n - 1) (n - 3) 138 n (n - 1) (n - 3) + ----------------------- - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 168 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 3 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 7 n 33 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) 7 n (n - 3) + --------------------------- - -------------------------- + ------------- 4 n 3 4 4 n 3 4 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 2 n (n - 3) 6 n 5 n 4 n 3 n 28 n (n - 3) 161 n (n - 3) 98 n (n - 3) 42 n (n - 3) - -------------- + --------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 12 n 4 14 n 4 13 n 4 18 n ((n - 1) ) 3 n ((n - 1) ) 15 n ((n - 1) ) - ------------------ - ----------------- + ------------------ 10 n 4 10 n 4 10 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 8 n 7 n 6 n 5 n 3 n (n - 4) 33 n (n - 4) 141 n (n - 4) 291 n (n - 4) + ------------- - -------------- + --------------- - --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 4 n 3 n n 6 n 5 288 n (n - 4) 108 n (n - 4) (n - 2) n 3 (n - 2) n + --------------- - --------------- + ------------- - ------------- n 4 n 4 4 n 4 n n (n - 4) n (n - 4) 2 (n - 2) n (n - 2) n n 4 n 3 11 (n - 2) n 3 (n - 2) n + -------------- - ------------- 4 n 4 n 2 (n - 2) n (n - 2) n and in Maple notation 12*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2 )^4+12*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-22*n^7*(n-1)^n/(n-1)^2/(n^n) ^2*(n-2)^n/(n-2)^4+12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+3*n^13*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-24*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3) ^n/(n-3)^4+69*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-84*n^10*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+36*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/ (n-3)^4-2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+22*n^10*(n-1)^n/(n-1)^2/ (n^n)^2*(n-4)^n/(n-4)^4-94*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+194*n^8* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-192*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^4+72*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+18*n^14*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-2)^n/(n-2)^2-33*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^ 2+18*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^2+6*n^12*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-2)^n/(n-2)^2-36*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2+ 66*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^2-36*n^9*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-2)^n/(n-2)^2+2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2-16*n ^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2+46*n^11*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-3)^n/(n-3)^2-56*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2+24*n^9 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^2-77/2*n^7*(n-1)^n/(n-1)^4/(n^n)^2*( n-2)^n/(n-2)^2+21*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2-7/2*n^9*(n-1)^n/( n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2+21*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^2-\ 69*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^2+84*n^7*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^2-36*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^2-3*n^10*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^2+24*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^2-47 /2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^2+97/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^2-48*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^2+18*n^6*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^2-1/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 2+11/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^2-2*n^15*((n-1)^n)^3/(n-1)^6/ (n^n)^4*(n-2)^n/(n-2)^4+12*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4-22* n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+12*n^12*((n-1)^n)^3/(n-1)^6/(n ^n)^4*(n-2)^n/(n-2)^4-3*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^2+2*n^17 *((n-1)^n)^5/(n-1)^12/(n^n)^5-10*n^16*((n-1)^n)^5/(n-1)^12/(n^n)^5+2*n^11*((n-1 )^n)^3/(n-1)^8/(n^n)^3-10*n^10*((n-1)^n)^3/(n-1)^8/(n^n)^3+12*n^9*((n-1)^n)^3/( n-1)^8/(n^n)^3-3*n^6*((n-1)^n)^2/(n-1)^6/(n^n)^2-1/2*n^8*((n-1)^n)^2/(n-1)^6/(n ^n)^2+5/2*n^7*((n-1)^n)^2/(n-1)^6/(n^n)^2+1/2/(n^n)*n^9*(n-5)^n/(n-5)^4-15/2/(n ^n)*n^8*(n-5)^n/(n-5)^4+91/2/(n^n)*n^7*(n-5)^n/(n-5)^4-285/2/(n^n)*n^6*(n-5)^n/ (n-5)^4+242/(n^n)*n^5*(n-5)^n/(n-5)^4-210/(n^n)*n^4*(n-5)^n/(n-5)^4+72/(n^n)*n^ 3*(n-5)^n/(n-5)^4-6*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+48*n^9*(n-1)^n /(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-138*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^ 4+168*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-72*n^6*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-3)^n/(n-3)^4+3*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-18*n^11*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+33*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*( n-2)^n/(n-2)^4-18*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+7/2/(n^n)*n^7 *(n-3)^n/(n-3)^4-28/(n^n)*n^6*(n-3)^n/(n-3)^4+161/2/(n^n)*n^5*(n-3)^n/(n-3)^4-\ 98/(n^n)*n^4*(n-3)^n/(n-3)^4+42/(n^n)*n^3*(n-3)^n/(n-3)^4-18*n^12*((n-1)^n)^4/( n-1)^10/(n^n)^4-3*n^14*((n-1)^n)^4/(n-1)^10/(n^n)^4+15*n^13*((n-1)^n)^4/(n-1)^ 10/(n^n)^4+3/(n^n)*n^8*(n-4)^n/(n-4)^4-33/(n^n)*n^7*(n-4)^n/(n-4)^4+141/(n^n)*n ^6*(n-4)^n/(n-4)^4-291/(n^n)*n^5*(n-4)^n/(n-4)^4+288/(n^n)*n^4*(n-4)^n/(n-4)^4-\ 108/(n^n)*n^3*(n-4)^n/(n-4)^4+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/( n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3 The, 4, 2, mixed moment of, X[1], and , X[3], is 15 n 5 9 n n 8 n n 3 n ((n - 1) ) 2 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) ----------------- - ----------------------- + ----------------------- 12 n 5 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 22 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 3 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 69 n ((n - 1) ) (n - 3) 84 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 36 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) + -------------------------- - ----------------------- 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 22 n (n - 1) (n - 4) 94 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 194 n (n - 1) (n - 4) 192 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n 3 n 72 n (n - 1) (n - 4) 2 n ((n - 1) ) (n - 2) + ----------------------- - -------------------------- 2 n 2 4 6 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 12 n ((n - 1) ) (n - 2) 22 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 5 16 n 5 12 n ((n - 1) ) (n - 2) n ((n - 1) ) 5 n ((n - 1) ) + --------------------------- + ----------------- - ----------------- 6 n 4 4 12 n 5 12 n 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) 2 (n - 1) (n ) 9 n 8 n 7 n 6 n n (n - 5) 15 n (n - 5) 91 n (n - 5) 285 n (n - 5) + ------------- - -------------- + -------------- - --------------- n 4 n 4 n 4 n 4 2 n (n - 5) 2 n (n - 5) 2 n (n - 5) 2 n (n - 5) 5 n 4 n 3 n 242 n (n - 5) 210 n (n - 5) 72 n (n - 5) + --------------- - --------------- + -------------- n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) 10 n n 9 n n 6 n (n - 1) (n - 3) 48 n (n - 1) (n - 3) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 138 n (n - 1) (n - 3) 168 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 2 n 72 n (n - 1) (n - 3) 414 n ((n - 1) ) (n - 3) - ----------------------- + ---------------------------- 2 n 2 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1146 n ((n - 1) ) (n - 3) 1740 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1368 n ((n - 1) ) (n - 3) 432 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 6 n ((n - 1) ) (n - 3) 78 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 5) 24 n (n - 1) (n - 5) - ----------------------- + ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 246 n (n - 1) (n - 5) 1404 n (n - 1) (n - 5) - ------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 4869 n (n - 1) (n - 5) 10476 n (n - 1) (n - 5) - -------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 13604 n (n - 1) (n - 5) 9696 n (n - 1) (n - 5) - -------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 13 n 2 n 2880 n (n - 1) (n - 5) 1110 n ((n - 1) ) (n - 4) - ------------------------- - ----------------------------- 2 n 2 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 5727 n ((n - 1) ) (n - 4) 4260 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 15 n 2 n 3366 n ((n - 1) ) (n - 4) 30 n ((n - 1) ) (n - 4) + ----------------------------- - --------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 9 n 2 n 249 n ((n - 1) ) (n - 4) 1080 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 4 n 3 n ((n - 1) ) (n - 4) 30 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 6 8 n 5 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 20 n 4 n 15 n 3 n n ((n - 1) ) (n - 2) 395 n ((n - 1) ) (n - 3) + ------------------------- + ---------------------------- 8 n 5 6 6 n 4 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 724 n ((n - 1) ) (n - 3) 668 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 17 n ((n - 1) ) (n - 3) 115 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 18 n 3 n 240 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ---------------------------- - ------------------------ 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 47 n (n - 1) (n - 2) 97 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 48 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 3 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 33 n ((n - 1) ) (n - 2) 18 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 288 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 3 n (n - 1) (n - 4) 48 n (n - 1) (n - 4) - ----------------------- + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 324 n (n - 1) (n - 4) 1194 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 7 n 2589 n (n - 1) (n - 4) 3294 n (n - 1) (n - 4) 7 n (n - 3) - ------------------------- + ------------------------- + ------------- 4 n 2 4 4 n 2 4 n 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 2 n (n - 3) 6 n 5 n 4 n 3 n 28 n (n - 3) 161 n (n - 3) 98 n (n - 3) 42 n (n - 3) - -------------- + --------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 12 n 4 10 n 9 n 8 n 36 n ((n - 1) ) 7 n (n - 4) 35 n (n - 4) 581 n (n - 4) - ------------------ + -------------- - -------------- + --------------- 12 n 4 n 6 n 6 n 6 (n - 1) (n ) 4 n (n - 4) n (n - 4) 2 n (n - 4) 7 n 6 n 5 n 1295 n (n - 4) 13363 n (n - 4) 4970 n (n - 4) - ---------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 4) 4 n (n - 4) n (n - 4) 4 n 3 n 16 n 4 3927 n (n - 4) 1260 n (n - 4) n ((n - 1) ) + ---------------- - ---------------- - --------------- n 6 n 6 12 n 4 n (n - 4) n (n - 4) (n - 1) (n ) 15 n 4 14 n 4 13 n 4 10 n ((n - 1) ) 37 n ((n - 1) ) 60 n ((n - 1) ) + ------------------ - ------------------ + ------------------ 12 n 4 12 n 4 12 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 3 n 16 n 3 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 2 10 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 4 2 10 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 288 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 4 2 10 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 342 n ((n - 1) ) (n - 3) 108 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 8 n 3 2 8 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 3) 39 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 2 8 n 3 2 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 207 n ((n - 1) ) (n - 3) 573 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 3 2 8 n 3 2 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n 2 n 11 n 10 n 435 n ((n - 1) ) (n - 3) 3 n (n - 5) 36 n (n - 5) + ---------------------------- + -------------- - --------------- 8 n 3 2 n 6 n 6 (n - 1) (n ) (n - 3) 2 n (n - 5) n (n - 5) 9 n 8 n 7 n 369 n (n - 5) 2106 n (n - 5) 14607 n (n - 5) + --------------- - ---------------- + ----------------- n 6 n 6 n 6 n (n - 5) n (n - 5) 2 n (n - 5) 6 n 5 n 4 n 15714 n (n - 5) 20406 n (n - 5) 14544 n (n - 5) - ----------------- + ----------------- - ----------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 3 n 8 n 7 n 6 n 4320 n (n - 5) 3 n (n - 4) 33 n (n - 4) 141 n (n - 4) + ---------------- + ------------- - -------------- + --------------- n 6 n 4 n 4 n 4 n (n - 5) n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 291 n (n - 4) 288 n (n - 4) 108 n (n - 4) - --------------- + --------------- - --------------- n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) 15 n 4 n 18 n 3 n 54 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - --------------------------- - ------------------------ 12 n 5 2 10 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 3 n 14 n 3 n 13 n ((n - 1) ) (n - 3) 290 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 10 n 4 2 10 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 228 n ((n - 1) ) (n - 3) 72 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 4 2 10 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 69 n ((n - 1) ) (n - 3) 191 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 10 n 4 2 10 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 4) 4 n ((n - 1) ) (n - 4) + ------------------------- - -------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 863 n ((n - 1) ) (n - 4) 549 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 189 n ((n - 1) ) (n - 4) 54 n ((n - 1) ) (n - 4) + ---------------------------- - -------------------------- 8 n 3 2 8 n 3 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 27 n ((n - 1) ) (n - 4) 199 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 8 n 3 2 8 n 3 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 2 n ((n - 1) ) (n - 2) 22 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 94 n ((n - 1) ) (n - 2) 194 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 192 n ((n - 1) ) (n - 2) 72 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 207 n ((n - 1) ) (n - 3) 573 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 870 n ((n - 1) ) (n - 3) 684 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 18 n 3 n 216 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ---------------------------- - -------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 2 n 39 n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 4) + --------------------------- + -------------------------- 8 n 4 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 32 n ((n - 1) ) (n - 4) 216 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 796 n ((n - 1) ) (n - 4) 1726 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 2196 n ((n - 1) ) (n - 4) 1512 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n n 432 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) - --------------------------- - ------------------------- 6 n 3 4 4 n 2 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 5) 13 n n 15 n 5 19 n 5 10 n (n - 1) (n - 5) 54 n ((n - 1) ) 3 n ((n - 1) ) + ------------------------ + ------------------ + ----------------- 4 n 2 4 14 n 5 14 n 5 (n - 1) (n ) (n - 5) (n - 1) (n ) 2 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 15 n ((n - 1) ) 111 n ((n - 1) ) 90 n ((n - 1) ) - ------------------ + ------------------- - ------------------ 14 n 5 14 n 5 14 n 5 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 9 n 3 n 6 n 5 n 4 9 n ((n - 1) ) (n - 2) n 3 (n - 2) n 11 (n - 2) n + ---------------- + ------------- - ------------- + -------------- 10 n 3 4 n 4 n 4 n (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 3 8 n n 7 n n 3 (n - 2) n 1015 n (n - 1) (n - 3) 798 n (n - 1) (n - 3) - ------------- - ------------------------- + ------------------------ 4 n 4 n 2 4 4 n 2 4 (n - 2) n (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 252 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - ------------------------ - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 12 n n 91 n (n - 1) (n - 3) n (n - 1) (n - 3) + ------------------------- - ----------------------- 4 n 2 4 2 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 17 n (n - 1) (n - 3) 115 n (n - 1) (n - 3) + ------------------------ - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 395 n (n - 1) (n - 3) 724 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 668 n (n - 1) (n - 3) 240 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 7 n ((n - 1) ) (n - 2) 77 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 329 n ((n - 1) ) (n - 2) 679 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 3 2 8 n 3 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 168 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 8 n 3 2 8 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 2 n ((n - 1) ) (n - 2) 22 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 94 n ((n - 1) ) (n - 2) 194 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 192 n ((n - 1) ) (n - 2) 72 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 483 n (n - 1) (n - 3) 1337 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 86 n (n - 1) (n - 5) 415 n (n - 1) (n - 5) - ------------------------ + ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 2455 n (n - 1) (n - 5) 2275 n (n - 1) (n - 5) - -------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 2574 n (n - 1) (n - 5) 1620 n (n - 1) (n - 5) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n 4 n 432 n (n - 1) (n - 5) 225 n ((n - 1) ) (n - 2) - ------------------------ - ---------------------------- 4 n 2 4 8 n 5 6 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 137 n ((n - 1) ) (n - 2) 15 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 8 n 5 6 8 n 5 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 4 n 20 n 4 n 85 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + --------------------------- + -------------------------- 8 n 5 6 12 n 5 2 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 33 n ((n - 1) ) (n - 2) 141 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 5 2 12 n 5 2 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 291 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 5 2 12 n 5 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 6 7 n n 45 n ((n - 1) ) 2268 n (n - 1) (n - 4) - ------------------ - ------------------------- 16 n 6 4 n 2 4 (n - 1) (n ) (n - 1) (n ) (n - 4) 6 n n 15 n 2 n 648 n (n - 1) (n - 4) 3 n ((n - 1) ) (n - 3) + ------------------------ + -------------------------- 4 n 2 4 4 n 3 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 51 n ((n - 1) ) (n - 3) 345 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1185 n ((n - 1) ) (n - 3) 1086 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1002 n ((n - 1) ) (n - 3) 360 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 3 n (n - 1) (n - 4) 60 n (n - 1) (n - 4) - ----------------------- + ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 498 n (n - 1) (n - 4) 2220 n (n - 1) (n - 4) - ------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 5727 n (n - 1) (n - 4) 8520 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 6732 n (n - 1) (n - 4) 2160 n (n - 1) (n - 4) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n 7 n 6 n 11889 n (n - 6) 34821 n (n - 6) 16496 n (n - 6) + ----------------- - ----------------- + ----------------- n 6 n 6 n 6 4 n (n - 6) 4 n (n - 6) n (n - 6) 5 n 4 n 11 n 19429 n (n - 6) 12840 n (n - 6) 29 n (n - 6) - ----------------- + ----------------- - --------------- n 6 n 6 n 6 n (n - 6) n (n - 6) 4 n (n - 6) 10 n 3 n 12 n 9 n 183 n (n - 6) 3600 n (n - 6) n (n - 6) 1317 n (n - 6) + ---------------- - ---------------- + ------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 6) n (n - 6) 4 n (n - 6) 2 n (n - 6) 22 n 6 21 n 6 20 n 6 5 n ((n - 1) ) 25 n ((n - 1) ) 185 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 16 n 6 16 n 6 16 n 6 4 (n - 1) (n ) 2 (n - 1) (n ) 4 (n - 1) (n ) 19 n 6 13 n 3 12 n 3 75 n ((n - 1) ) n ((n - 1) ) 5 n ((n - 1) ) + ------------------ + ----------------- - ----------------- 16 n 6 10 n 3 10 n 3 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 11 n 3 10 n 3 9 n 8 n 37 n ((n - 1) ) 15 n ((n - 1) ) n (n - 3) 17 n (n - 3) + ------------------ - ------------------ + ------------- - -------------- 10 n 3 10 n 3 n 6 n 6 4 (n - 1) (n ) (n - 1) (n ) 4 n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 4 n 115 n (n - 3) 395 n (n - 3) 181 n (n - 3) 167 n (n - 3) + --------------- - --------------- + --------------- - --------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) n (n - 3) n (n - 3) 3 n 60 n (n - 3) + -------------- n 6 n (n - 3) and in Maple notation 3*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2) ^4+12*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-22*n^7*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-2)^n/(n-2)^4+12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+3*n^13*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-24*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^ n/(n-3)^4+69*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-84*n^10*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+36*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/( n-3)^4-2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+22*n^10*(n-1)^n/(n-1)^2/( n^n)^2*(n-4)^n/(n-4)^4-94*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+194*n^8*( n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-192*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/ (n-4)^4+72*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-2*n^15*((n-1)^n)^3/(n-1) ^6/(n^n)^4*(n-2)^n/(n-2)^4+12*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4-\ 22*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+12*n^12*((n-1)^n)^3/(n-1)^6 /(n^n)^4*(n-2)^n/(n-2)^4+1/2*n^17*((n-1)^n)^5/(n-1)^12/(n^n)^5-5/2*n^16*((n-1)^ n)^5/(n-1)^12/(n^n)^5+1/2/(n^n)*n^9*(n-5)^n/(n-5)^4-15/2/(n^n)*n^8*(n-5)^n/(n-5 )^4+91/2/(n^n)*n^7*(n-5)^n/(n-5)^4-285/2/(n^n)*n^6*(n-5)^n/(n-5)^4+242/(n^n)*n^ 5*(n-5)^n/(n-5)^4-210/(n^n)*n^4*(n-5)^n/(n-5)^4+72/(n^n)*n^3*(n-5)^n/(n-5)^4-6* n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+48*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 3)^n/(n-3)^4-138*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+168*n^7*(n-1)^n/(n -1)^2/(n^n)^2*(n-3)^n/(n-3)^4-72*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+ 414*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-1146*n^12*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-3)^n/(n-3)^4+1740*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3) ^4-1368*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+432*n^9*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^4+6*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^ 4-78*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-n^14*(n-1)^n/(n-1)^2/(n^n )^2*(n-5)^n/(n-5)^6+24*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-246*n^12*(n -1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+1404*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n /(n-5)^6-4869*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+10476*n^9*(n-1)^n/(n -1)^2/(n^n)^2*(n-5)^n/(n-5)^6-13604*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6 +9696*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-2880*n^6*(n-1)^n/(n-1)^2/(n^n )^2*(n-5)^n/(n-5)^6-1110*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6+5727/ 2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-4260*n^11*((n-1)^n)^2/(n-1)^ 4/(n^n)^3*(n-4)^n/(n-4)^6+3366*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6 -30*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6+249*n^14*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-4)^n/(n-4)^6-1080*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6 +3/2*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-30*n^15*((n-1)^n)^4/(n-1) ^8/(n^n)^5*(n-2)^n/(n-2)^6+1/4*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6 +395*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6-724*n^14*((n-1)^n)^3/(n-1 )^6/(n^n)^4*(n-3)^n/(n-3)^6+668*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^ 6+17*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6-115*n^16*((n-1)^n)^3/(n-1 )^6/(n^n)^4*(n-3)^n/(n-3)^6-240*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^ 6-n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6-1/2*n^11*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^4+11/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-47/2*n^9 *(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+97/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2) ^n/(n-2)^4-48*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+18*n^6*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-2)^n/(n-2)^4+3*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-18 *n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+33*n^10*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-2)^n/(n-2)^4-18*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-3*n^ 17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+33*n^16*((n-1)^n)^3/(n-1)^8/(n^n )^4*(n-2)^n/(n-2)^4-141*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+291*n^ 14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-288*n^13*((n-1)^n)^3/(n-1)^8/(n^ n)^4*(n-2)^n/(n-2)^4+108*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-3*n^ 13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+48*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4 )^n/(n-4)^4-324*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+1194*n^10*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4-2589*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 4+3294*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+7/2/(n^n)*n^7*(n-3)^n/(n-3)^ 4-28/(n^n)*n^6*(n-3)^n/(n-3)^4+161/2/(n^n)*n^5*(n-3)^n/(n-3)^4-98/(n^n)*n^4*(n-\ 3)^n/(n-3)^4+42/(n^n)*n^3*(n-3)^n/(n-3)^4-36*n^12*((n-1)^n)^4/(n-1)^12/(n^n)^4+ 7/4/(n^n)*n^10*(n-4)^n/(n-4)^6-35/(n^n)*n^9*(n-4)^n/(n-4)^6+581/2/(n^n)*n^8*(n-\ 4)^n/(n-4)^6-1295/(n^n)*n^7*(n-4)^n/(n-4)^6+13363/4/(n^n)*n^6*(n-4)^n/(n-4)^6-\ 4970/(n^n)*n^5*(n-4)^n/(n-4)^6+3927/(n^n)*n^4*(n-4)^n/(n-4)^6-1260/(n^n)*n^3*(n -4)^n/(n-4)^6-n^16*((n-1)^n)^4/(n-1)^12/(n^n)^4+10*n^15*((n-1)^n)^4/(n-1)^12/(n ^n)^4-37*n^14*((n-1)^n)^4/(n-1)^12/(n^n)^4+60*n^13*((n-1)^n)^4/(n-1)^12/(n^n)^4 -3*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^2+33*n^16*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-2)^n/(n-2)^2-141*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^ 2+291*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^2-288*n^13*((n-1)^n)^3/(n -1)^10/(n^n)^4*(n-2)^n/(n-2)^2+108*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n -2)^2-342*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2+108*n^9*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2+3/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n -3)^2-39/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2+207/2*n^13*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2-573/2*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^2+435*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^2+3/2/(n^n)*n^11 *(n-5)^n/(n-5)^6-36/(n^n)*n^10*(n-5)^n/(n-5)^6+369/(n^n)*n^9*(n-5)^n/(n-5)^6-\ 2106/(n^n)*n^8*(n-5)^n/(n-5)^6+14607/2/(n^n)*n^7*(n-5)^n/(n-5)^6-15714/(n^n)*n^ 6*(n-5)^n/(n-5)^6+20406/(n^n)*n^5*(n-5)^n/(n-5)^6-14544/(n^n)*n^4*(n-5)^n/(n-5) ^6+4320/(n^n)*n^3*(n-5)^n/(n-5)^6+3/(n^n)*n^8*(n-4)^n/(n-4)^4-33/(n^n)*n^7*(n-4 )^n/(n-4)^4+141/(n^n)*n^6*(n-4)^n/(n-4)^4-291/(n^n)*n^5*(n-4)^n/(n-4)^4+288/(n^ n)*n^4*(n-4)^n/(n-4)^4-108/(n^n)*n^3*(n-4)^n/(n-4)^4-54*n^15*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-2)^n/(n-2)^2-n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^2+13 *n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^2-290*n^14*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-3)^n/(n-3)^2+228*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^ 2-72*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^2-69*n^16*((n-1)^n)^3/(n-1 )^10/(n^n)^4*(n-3)^n/(n-3)^2+191*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3 )^2+1/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^2-4*n^15*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-4)^n/(n-4)^2+863/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-\ 4)^2-549/2*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^2+189*n^10*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^2-54*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n -4)^2+27*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^2-199/2*n^13*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^2+2*n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/( n-2)^4-22*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4+94*n^18*((n-1)^n)^4 /(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-194*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n /(n-2)^4+192*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-72*n^15*((n-1)^n )^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-207*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3) ^n/(n-3)^4+573*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-870*n^14*((n-1) ^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+684*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3 )^n/(n-3)^4-216*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-3*n^18*((n-1)^ n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+39*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^ n/(n-3)^4+2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-32*n^15*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+216*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/ (n-4)^4-796*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+1726*n^12*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-2196*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4) ^n/(n-4)^4+1512*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-432*n^9*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-1/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/ (n-5)^4+10*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4+54*n^15*((n-1)^n)^5/(n-\ 1)^14/(n^n)^5+3/2*n^19*((n-1)^n)^5/(n-1)^14/(n^n)^5-15*n^18*((n-1)^n)^5/(n-1)^ 14/(n^n)^5+111/2*n^17*((n-1)^n)^5/(n-1)^14/(n^n)^5-90*n^16*((n-1)^n)^5/(n-1)^14 /(n^n)^5+9*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-\ 2)^n/(n-2)^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n ^3-1015*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+798*n^7*(n-1)^n/(n-1)^4/(n^ n)^2*(n-3)^n/(n-3)^4-252*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-7/2*n^12*( n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+91/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^4-n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+17*n^11*(n-1)^n/(n-1)^2/ (n^n)^2*(n-3)^n/(n-3)^6-115*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+395*n^ 9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-724*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^6+668*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-240*n^6*(n-1)^n/(n-1 )^2/(n^n)^2*(n-3)^n/(n-3)^6+7/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^ 2-77/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2+329/4*n^12*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2-679/4*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/ (n-2)^2+168*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2-63*n^9*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^2+2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-\ 2)^4-22*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+94*n^12*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-2)^n/(n-2)^4-194*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2 )^4+192*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-72*n^9*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-2)^n/(n-2)^4-483/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4 +1337/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-86*n^12*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^4+415*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4-2455/2*n^ 10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4+2275*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 5)^n/(n-5)^4-2574*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4+1620*n^7*(n-1)^n/ (n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4-432*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4 -225/4*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6+137/2*n^16*((n-1)^n)^4/ (n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6-15/4*n^19*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/( n-2)^6+85/4*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6+3/2*n^20*((n-1)^n) ^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2-33/2*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2 )^n/(n-2)^2+141/2*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2-291/2*n^17* ((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^2+144*n^16*((n-1)^n)^4/(n-1)^12/(n^n )^5*(n-2)^n/(n-2)^2-45*n^18*((n-1)^n)^6/(n-1)^16/(n^n)^6-2268*n^7*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^4+648*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+3/2* n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-51/2*n^14*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-3)^n/(n-3)^6+345/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-\ 1185/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+1086*n^11*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-1002*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n -3)^6+360*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-3*n^13*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-4)^n/(n-4)^6+60*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-498*n ^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+2220*n^10*(n-1)^n/(n-1)^2/(n^n)^2*( n-4)^n/(n-4)^6-5727*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+8520*n^8*(n-1)^ n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-6732*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4 )^6+2160*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+11889/4/(n^n)*n^8*(n-6)^n/ (n-6)^6-34821/4/(n^n)*n^7*(n-6)^n/(n-6)^6+16496/(n^n)*n^6*(n-6)^n/(n-6)^6-19429 /(n^n)*n^5*(n-6)^n/(n-6)^6+12840/(n^n)*n^4*(n-6)^n/(n-6)^6-29/4/(n^n)*n^11*(n-6 )^n/(n-6)^6+183/2/(n^n)*n^10*(n-6)^n/(n-6)^6-3600/(n^n)*n^3*(n-6)^n/(n-6)^6+1/4 /(n^n)*n^12*(n-6)^n/(n-6)^6-1317/2/(n^n)*n^9*(n-6)^n/(n-6)^6-5/4*n^22*((n-1)^n) ^6/(n-1)^16/(n^n)^6+25/2*n^21*((n-1)^n)^6/(n-1)^16/(n^n)^6-185/4*n^20*((n-1)^n) ^6/(n-1)^16/(n^n)^6+75*n^19*((n-1)^n)^6/(n-1)^16/(n^n)^6+1/4*n^13*((n-1)^n)^3/( n-1)^10/(n^n)^3-5/2*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+37/4*n^11*((n-1)^n)^3/(n-\ 1)^10/(n^n)^3-15*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+1/4/(n^n)*n^9*(n-3)^n/(n-3)^ 6-17/4/(n^n)*n^8*(n-3)^n/(n-3)^6+115/4/(n^n)*n^7*(n-3)^n/(n-3)^6-395/4/(n^n)*n^ 6*(n-3)^n/(n-3)^6+181/(n^n)*n^5*(n-3)^n/(n-3)^6-167/(n^n)*n^4*(n-3)^n/(n-3)^6+ 60/(n^n)*n^3*(n-3)^n/(n-3)^6 The, 4, 3, mixed moment of, X[1], and , X[3], is 18 n 6 15 n 5 9 n n 162 n ((n - 1) ) 3 n ((n - 1) ) 2 n (n - 1) (n - 2) - ------------------- + ----------------- - ----------------------- 18 n 6 12 n 5 2 n 2 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 2) 8 n n 7 n n 12 n (n - 1) (n - 2) 22 n (n - 1) (n - 2) + ----------------------- - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 13 n 2 n 12 n (n - 1) (n - 2) 3 n ((n - 1) ) (n - 3) + ----------------------- + -------------------------- 2 n 2 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 24 n ((n - 1) ) (n - 3) 69 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 84 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 2 n (n - 1) (n - 4) 22 n (n - 1) (n - 4) - ----------------------- + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 94 n (n - 1) (n - 4) 194 n (n - 1) (n - 4) - ----------------------- + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 192 n (n - 1) (n - 4) 72 n (n - 1) (n - 4) - ------------------------ + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 2 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 22 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 5 16 n 5 9 n 8 n n ((n - 1) ) 5 n ((n - 1) ) n (n - 5) 15 n (n - 5) + ----------------- - ----------------- + ------------- - -------------- 12 n 5 12 n 5 n 4 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) 2 n (n - 5) 2 n (n - 5) 7 n 6 n 5 n 4 n 91 n (n - 5) 285 n (n - 5) 242 n (n - 5) 210 n (n - 5) + -------------- - --------------- + --------------- - --------------- n 4 n 4 n 4 n 4 2 n (n - 5) 2 n (n - 5) n (n - 5) n (n - 5) 3 n 12 n 4 6 n 72 n (n - 5) 27 n ((n - 1) ) 3368016 n (n - 7) + -------------- - ------------------ - ------------------- n 4 14 n 4 n 8 n (n - 5) (n - 1) (n ) n (n - 7) 5 n 4 n 3 n 3252654 n (n - 7) 1833840 n (n - 7) 453600 n (n - 7) + ------------------- - ------------------- + ------------------ n 8 n 8 n 8 n (n - 7) n (n - 7) n (n - 7) 15 n 14 n 13 n 12 n n (n - 7) 6 n (n - 7) 1037 n (n - 7) 1665 n (n - 7) + ------------- - -------------- + ----------------- - ----------------- n 8 n 8 n 8 n 8 8 n (n - 7) n (n - 7) 8 n (n - 7) n (n - 7) 11 n 10 n 9 n 113163 n (n - 7) 83628 n (n - 7) 2818031 n (n - 7) + ------------------- - ------------------ + ------------------- n 8 n 8 n 8 8 n (n - 7) n (n - 7) 8 n (n - 7) 8 n 7 n 27 n 7 1063245 n (n - 7) 2277617 n (n - 7) 3 n ((n - 1) ) - ------------------- + ------------------- + ----------------- n 8 n 8 20 n 7 n (n - 7) n (n - 7) 4 (n - 1) (n ) 26 n 7 25 n 7 24 n 7 45 n ((n - 1) ) 279 n ((n - 1) ) 915 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 20 n 7 20 n 7 20 n 7 4 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 23 n 7 22 n 7 10 n n 837 n ((n - 1) ) 405 n ((n - 1) ) 6 n (n - 1) (n - 3) + ------------------- - ------------------- - ----------------------- 20 n 7 20 n 7 2 n 2 4 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) (n - 3) 9 n n 8 n n 48 n (n - 1) (n - 3) 138 n (n - 1) (n - 3) + ----------------------- - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 168 n (n - 1) (n - 3) 72 n (n - 1) (n - 3) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 621 n ((n - 1) ) (n - 3) 1719 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 2610 n ((n - 1) ) (n - 3) 2052 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 15 n 2 n 648 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 14 n 13 n 117 n ((n - 1) ) (n - 3) 3 n (n - 6) 63 n (n - 6) - ---------------------------- + -------------- - --------------- 6 n 3 4 n 8 n 8 (n - 1) (n ) (n - 3) 4 n (n - 6) 2 n (n - 6) 12 n 11 n 10 n 2355 n (n - 6) 12915 n (n - 6) 184509 n (n - 6) + ----------------- - ------------------ + ------------------- n 8 n 8 n 8 4 n (n - 6) 2 n (n - 6) 4 n (n - 6) 9 n 8 n 7 n 450009 n (n - 6) 3053985 n (n - 6) 3596985 n (n - 6) - ------------------ + ------------------- - ------------------- n 8 n 8 n 8 2 n (n - 6) 4 n (n - 6) 2 n (n - 6) 6 n 5 n 4 n 2874747 n (n - 6) 2959614 n (n - 6) 1758240 n (n - 6) + ------------------- - ------------------- + ------------------- n 8 n 8 n 8 n (n - 6) n (n - 6) n (n - 6) 3 n 17 n n 453600 n (n - 6) n (n - 1) (n - 6) - ------------------ - ------------------------- n 8 2 n 2 8 n (n - 6) 2 (n - 1) (n ) (n - 6) 16 n n 15 n n 21 n (n - 1) (n - 6) 785 n (n - 1) (n - 6) + ------------------------ - ------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 14 n n 13 n n 4305 n (n - 1) (n - 6) 61503 n (n - 1) (n - 6) + -------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 12 n n 11 n n 150003 n (n - 1) (n - 6) 1017995 n (n - 1) (n - 6) + ---------------------------- - ----------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 10 n n 24 n 6 23 n 6 1198995 n (n - 1) (n - 6) 3 n ((n - 1) ) 45 n ((n - 1) ) + ----------------------------- - ----------------- + ------------------ 2 n 2 8 18 n 6 18 n 6 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) 4 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 279 n ((n - 1) ) 915 n ((n - 1) ) 837 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 18 n 6 18 n 6 18 n 6 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 19 n 6 14 n n 13 n n 405 n ((n - 1) ) 3 n (n - 1) (n - 5) 72 n (n - 1) (n - 5) + ------------------- - ----------------------- + ------------------------ 18 n 6 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 738 n (n - 1) (n - 5) 4212 n (n - 1) (n - 5) - ------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 14607 n (n - 1) (n - 5) 31428 n (n - 1) (n - 5) - --------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 40812 n (n - 1) (n - 5) 29088 n (n - 1) (n - 5) - -------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 13 n 2 n 8640 n (n - 1) (n - 5) 3330 n ((n - 1) ) (n - 4) - ------------------------- - ----------------------------- 2 n 2 6 4 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 17181 n ((n - 1) ) (n - 4) 12780 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 15 n 2 n 10098 n ((n - 1) ) (n - 4) 90 n ((n - 1) ) (n - 4) + ------------------------------ - --------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 9 n 2 n 747 n ((n - 1) ) (n - 4) 3240 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 4 n 9 n ((n - 1) ) (n - 4) 90 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 6 8 n 5 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 20 n 4 n 15 n 3 n 3 n ((n - 1) ) (n - 2) 1185 n ((n - 1) ) (n - 3) + -------------------------- + ----------------------------- 8 n 5 6 6 n 4 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 2172 n ((n - 1) ) (n - 3) 2004 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 51 n ((n - 1) ) (n - 3) 345 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 18 n 3 n 720 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ---------------------------- - -------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n n ((n - 1) ) (n - 3) 15 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 8 n 5 8 8 n 5 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 189 n ((n - 1) ) (n - 3) 651 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 5 8 8 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 10689 n ((n - 1) ) (n - 3) 13335 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 5 8 8 n 5 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 9833 n ((n - 1) ) (n - 3) 3897 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 5 8 8 n 5 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 16 n n 1260 n ((n - 1) ) (n - 3) 9 n (n - 1) (n - 5) + ----------------------------- - ------------------------- 8 n 5 8 4 n 2 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 5) 15 n n 14 n n 261 n (n - 1) (n - 5) 837 n (n - 1) (n - 5) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 12501 n (n - 1) (n - 5) 120285 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 11 n n 18 n 3 n 389205 n (n - 1) (n - 5) 927 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 6 8 n 4 6 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 2412 n ((n - 1) ) (n - 3) 30501 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 29961 n ((n - 1) ) (n - 3) 17829 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 4 6 8 n 4 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 11718 n ((n - 1) ) (n - 3) 3240 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 3) 99 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 8 n 4 6 8 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 9 n ((n - 1) ) (n - 4) 225 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 1224 n ((n - 1) ) (n - 4) 7605 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 59445 n ((n - 1) ) (n - 4) 151425 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 125541 n ((n - 1) ) (n - 4) 130410 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 76788 n ((n - 1) ) (n - 4) 19440 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 630 n ((n - 1) ) (n - 3) 2763 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 9 n ((n - 1) ) (n - 4) 189 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 873 n ((n - 1) ) (n - 4) 4653 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 31509 n ((n - 1) ) (n - 4) 70209 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 25704 n ((n - 1) ) (n - 4) 23814 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 12636 n ((n - 1) ) (n - 4) 2916 n ((n - 1) ) (n - 4) + ------------------------------ - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 3 n ((n - 1) ) (n - 3) 27 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 12 n 4 2 12 n 4 2 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 1296 n ((n - 1) ) (n - 3) 324 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 12 n 4 2 12 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 105 n ((n - 1) ) (n - 3) 921 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 12 n 4 2 12 n 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 4977 n ((n - 1) ) (n - 3) 2118 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 12 n 4 2 12 n 4 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 22 n 4 n 2214 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 12 n 4 2 12 n 5 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 36 n ((n - 1) ) (n - 2) 243 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 1791 n ((n - 1) ) (n - 2) 7767 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 4941 n ((n - 1) ) (n - 2) 1701 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 486 n ((n - 1) ) (n - 2) 14931 n ((n - 1) ) (n - 3) - ---------------------------- - ------------------------------ 12 n 5 4 10 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 12708 n ((n - 1) ) (n - 3) 13284 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 7776 n ((n - 1) ) (n - 3) 1944 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 3 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 14 n 5 2 14 n 5 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 162 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 14 n 5 2 14 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 14 n 5 2 14 n 5 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 1134 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 14 n 5 2 14 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 12 n n 1551 n (n - 1) (n - 6) 165105 n (n - 1) (n - 6) - -------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 21 n 7 21 n 3 n 162 n ((n - 1) ) n ((n - 1) ) (n - 4) + ------------------- - ------------------------- 20 n 7 6 n 4 8 (n - 1) (n ) 2 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 33 n ((n - 1) ) (n - 4) 234 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 6 n 4 8 6 n 4 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 1869 n ((n - 1) ) (n - 4) 18501 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 58737 n ((n - 1) ) (n - 4) 59671 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 6 n 4 8 6 n 4 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 74586 n ((n - 1) ) (n - 4) 51804 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 15120 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 5) + ------------------------------ + -------------------------- 6 n 4 8 4 n 3 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 111 n ((n - 1) ) (n - 5) 450 n ((n - 1) ) (n - 5) - ---------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 8415 n ((n - 1) ) (n - 5) 100359 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 398223 n ((n - 1) ) (n - 5) 531435 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 469905 n ((n - 1) ) (n - 5) 525222 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 333504 n ((n - 1) ) (n - 5) 90720 n ((n - 1) ) (n - 5) - ------------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 3 n (n - 1) (n - 2) 33 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 141 n (n - 1) (n - 2) 291 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 7 n n 6 n n 21 n 5 72 n (n - 1) (n - 2) 27 n (n - 1) (n - 2) n ((n - 1) ) - ----------------------- + ----------------------- + ----------------- 4 n 2 4 4 n 2 4 16 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 2 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 15 n ((n - 1) ) 93 n ((n - 1) ) 305 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 16 n 5 16 n 5 16 n 5 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 17 n 5 16 n 5 13 n 279 n ((n - 1) ) 270 n ((n - 1) ) 7 n (n - 5) + ------------------- - ------------------- + -------------- 16 n 5 16 n 5 n 8 (n - 1) (n ) (n - 1) (n ) 8 n (n - 5) 12 n 11 n 10 n 259 n (n - 5) 525 n (n - 5) 19635 n (n - 5) - ---------------- + ---------------- - ------------------ n 8 n 8 n 8 8 n (n - 5) n (n - 5) 4 n (n - 5) 9 n 8 n 7 n 234171 n (n - 5) 929187 n (n - 5) 1240015 n (n - 5) + ------------------ - ------------------ + ------------------- n 8 n 8 n 8 8 n (n - 5) 8 n (n - 5) 4 n (n - 5) 6 n 5 n 4 n 1096445 n (n - 5) 612759 n (n - 5) 389088 n (n - 5) - ------------------- + ------------------ - ------------------ n 8 n 8 n 8 2 n (n - 5) n (n - 5) n (n - 5) 3 n 12 n 2 n 105840 n (n - 5) 3 n ((n - 1) ) (n - 2) + ------------------ + -------------------------- n 8 4 n 3 4 n (n - 5) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 18 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n 3 n 18 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 2) - -------------------------- - -------------------------- 4 n 3 4 8 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 99 n ((n - 1) ) (n - 2) 423 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 873 n ((n - 1) ) (n - 2) 432 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 4 4 8 n 4 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n n 162 n ((n - 1) ) (n - 2) 9 n (n - 1) (n - 4) + ---------------------------- - ------------------------- 8 n 4 4 4 n 2 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 4) 12 n n 11 n n 72 n (n - 1) (n - 4) 486 n (n - 1) (n - 4) + ------------------------ - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 1791 n (n - 1) (n - 4) 7767 n (n - 1) (n - 4) + -------------------------- - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 8 n n 7 n 6 n 4941 n (n - 1) (n - 4) 7 n (n - 3) 28 n (n - 3) + ------------------------- + ------------- - -------------- 4 n 2 4 n 4 n 4 (n - 1) (n ) (n - 4) 2 n (n - 3) n (n - 3) 5 n 4 n 3 n 161 n (n - 3) 98 n (n - 3) 42 n (n - 3) + --------------- - -------------- + -------------- n 4 n 4 n 4 2 n (n - 3) n (n - 3) n (n - 3) 12 n 2 n 11 n 2 n 9987 n ((n - 1) ) (n - 3) 11886 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 7812 n ((n - 1) ) (n - 3) 2160 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 3) 33 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 21 n (n - 1) (n - 4) 525 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 13 n n 12 n n 714 n (n - 1) (n - 4) 17745 n (n - 1) (n - 4) - ------------------------- + --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 138705 n (n - 1) (n - 4) 353325 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 9 n n 8 n n 292929 n (n - 1) (n - 4) 152145 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 7 n n 6 n n 44793 n (n - 1) (n - 4) 11340 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 3 n ((n - 1) ) (n - 4) 99 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 351 n ((n - 1) ) (n - 4) 5607 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 55503 n ((n - 1) ) (n - 4) 176211 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 179013 n ((n - 1) ) (n - 4) 111879 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 77706 n ((n - 1) ) (n - 4) 22680 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 3 n (n - 1) (n - 5) 111 n (n - 1) (n - 5) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 14 n n 13 n n 900 n (n - 1) (n - 5) 8415 n (n - 1) (n - 5) - ------------------------- + -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 100359 n (n - 1) (n - 5) 398223 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 10 n n 9 n n 531435 n (n - 1) (n - 5) 939810 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 1050444 n (n - 1) (n - 5) 667008 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 15 n 5 181440 n (n - 1) (n - 5) 108 n ((n - 1) ) - --------------------------- + ------------------- 2 n 2 8 16 n 5 (n - 1) (n ) (n - 5) (n - 1) (n ) 9 n 2 n 12 n n 81 n ((n - 1) ) (n - 2) 309 n (n - 1) (n - 3) - -------------------------- - ------------------------- 8 n 3 4 4 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 402 n (n - 1) (n - 3) 10167 n (n - 1) (n - 3) + ------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 9 n n 8 n n 9987 n (n - 1) (n - 3) 5943 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 7 n n 6 n n 1953 n (n - 1) (n - 3) 540 n (n - 1) (n - 3) + ------------------------- - ------------------------ 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 33 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n 3 n 19 n 3 n 189 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 12 n 4 2 10 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 24 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 597 n ((n - 1) ) (n - 2) 2589 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 1647 n ((n - 1) ) (n - 2) 1134 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 13 n 2 n 324 n ((n - 1) ) (n - 2) 34839 n ((n - 1) ) (n - 3) + ---------------------------- + ------------------------------ 10 n 4 4 8 n 3 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 7413 n ((n - 1) ) (n - 3) 7749 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 4536 n ((n - 1) ) (n - 3) 1134 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 21 n ((n - 1) ) (n - 3) 189 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 735 n ((n - 1) ) (n - 3) 6447 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 309 n ((n - 1) ) (n - 3) 1608 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 17 n 3 n 10167 n ((n - 1) ) (n - 3) 10503 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 6 n 3 6 10 n 4 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 23403 n ((n - 1) ) (n - 4) 17136 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 10 n 4 4 10 n 4 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 15876 n ((n - 1) ) (n - 4) 8424 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 1944 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 5) + ----------------------------- + -------------------------- 10 n 4 4 8 n 3 4 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 75 n ((n - 1) ) (n - 5) 417 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 2 n 16 n 2 n 2715 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 6 n ((n - 1) ) (n - 2) 81 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 597 n ((n - 1) ) (n - 2) 2589 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1647 n ((n - 1) ) (n - 2) 567 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n n 11 n n 1869 n (n - 1) (n - 4) 18501 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 58737 n (n - 1) (n - 4) 59671 n (n - 1) (n - 4) + --------------------------- - -------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 74586 n (n - 1) (n - 4) 51804 n (n - 1) (n - 4) + -------------------------- - -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 10 n 9 n 15120 n (n - 1) (n - 4) 21 n (n - 4) 105 n (n - 4) + -------------------------- + --------------- - --------------- 2 n 2 8 n 6 n 6 (n - 1) (n ) (n - 4) 4 n (n - 4) n (n - 4) 8 n 7 n 6 n 1743 n (n - 4) 3885 n (n - 4) 40089 n (n - 4) + ---------------- - ---------------- + ----------------- n 6 n 6 n 6 2 n (n - 4) n (n - 4) 4 n (n - 4) 5 n 4 n 3 n 14910 n (n - 4) 11781 n (n - 4) 3780 n (n - 4) - ----------------- + ----------------- - ---------------- n 6 n 6 n 6 n (n - 4) n (n - 4) n (n - 4) 15 n 2 n 14 n 2 n 22911 n ((n - 1) ) (n - 5) 65415 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 31971 n ((n - 1) ) (n - 5) 21105 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 17982 n ((n - 1) ) (n - 5) 8910 n ((n - 1) ) (n - 5) + ------------------------------ - ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 24 n 5 n 1944 n ((n - 1) ) (n - 5) 15 n ((n - 1) ) (n - 2) + ---------------------------- + --------------------------- 8 n 3 4 12 n 6 6 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 2) 25 n 5 n 20 n 5 n 3 n ((n - 1) ) (n - 2) 1065 n ((n - 1) ) (n - 2) - -------------------------- + ----------------------------- 12 n 6 6 12 n 6 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 22 n 5 n 1683 n ((n - 1) ) (n - 2) 555 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 12 n 6 6 12 n 6 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 21 n 5 n 18 n 5 n 5727 n ((n - 1) ) (n - 2) 270 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 12 n 6 6 12 n 6 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 22 n 4 n 249 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 3) - ---------------------------- - --------------------------- 12 n 6 6 10 n 5 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 23 n 4 n 21 n 4 n 3 n ((n - 1) ) (n - 3) 309 n ((n - 1) ) (n - 3) + -------------------------- + ---------------------------- 10 n 5 6 10 n 5 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 1608 n ((n - 1) ) (n - 3) 10167 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 9987 n ((n - 1) ) (n - 3) 11886 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 7812 n ((n - 1) ) (n - 3) 2160 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1476 n ((n - 1) ) (n - 3) 864 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 14 n 5 2 14 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 19 n 4 n 216 n ((n - 1) ) (n - 3) 1659 n ((n - 1) ) (n - 3) + ---------------------------- + ----------------------------- 14 n 5 2 14 n 5 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 4 n 21 n 3 n 1412 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------- 14 n 5 2 12 n 4 2 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 21 n ((n - 1) ) (n - 4) 97 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 12 n 4 2 12 n 4 2 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 18 n 3 n 15 n 3 n 517 n ((n - 1) ) (n - 4) 1428 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 12 n 4 2 12 n 4 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 1323 n ((n - 1) ) (n - 4) 702 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 12 n 4 2 12 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 17 n 3 n 162 n ((n - 1) ) (n - 4) 3501 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 12 n 4 2 12 n 4 2 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n 3 n 25 n 5 n 7801 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 2) + ----------------------------- - -------------------------- 12 n 4 2 14 n 6 4 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 24 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 14 n 6 4 14 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 3 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 16 n 6 2 16 n 6 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 16 n 6 2 16 n 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 16 n 6 2 16 n 6 2 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 567 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 16 n 6 2 16 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + -------------------------- - -------------------------- 14 n 5 2 14 n 5 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 70 n ((n - 1) ) (n - 3) 307 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 14 n 5 2 14 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 17 n 4 16 n 4 n ((n - 1) ) 15 n ((n - 1) ) 93 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 14 n 4 14 n 4 14 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 305 n ((n - 1) ) 279 n ((n - 1) ) 135 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 8 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 12 n 11 n 10 n 9 n n (n - 4) 33 n (n - 4) 117 n (n - 4) 1869 n (n - 4) + ------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 8 n (n - 4) 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 8 n 7 n 6 n 18501 n (n - 4) 58737 n (n - 4) 59671 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 8 n (n - 4) 8 n (n - 4) 4 n (n - 4) 5 n 4 n 3 n 37293 n (n - 4) 12951 n (n - 4) 3780 n (n - 4) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 2 n (n - 4) n (n - 4) n (n - 4) 11 n 10 n 9 n 8 n 9 n (n - 5) 108 n (n - 5) 1107 n (n - 5) 6318 n (n - 5) + -------------- - ---------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 5) n (n - 5) n (n - 5) n (n - 5) 7 n 6 n 5 n 43821 n (n - 5) 47142 n (n - 5) 61218 n (n - 5) + ----------------- - ----------------- + ----------------- n 6 n 6 n 6 2 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 8 n 7 n 43632 n (n - 5) 12960 n (n - 5) 3 n (n - 4) 33 n (n - 4) - ----------------- + ----------------- + ------------- - -------------- n 6 n 6 n 4 n 4 n (n - 5) n (n - 5) n (n - 4) n (n - 4) 6 n 5 n 4 n 3 n 141 n (n - 4) 291 n (n - 4) 288 n (n - 4) 108 n (n - 4) + --------------- - --------------- + --------------- - --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 20 n 4 n 19 n 4 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 288 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 621 n ((n - 1) ) (n - 3) 1719 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 4 4 8 n 4 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1305 n ((n - 1) ) (n - 3) 1026 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 18 n 3 n 324 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ---------------------------- - -------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 2 n 117 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 4) + ---------------------------- + -------------------------- 8 n 4 4 6 n 3 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 48 n ((n - 1) ) (n - 4) 324 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 1194 n ((n - 1) ) (n - 4) 2589 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 3294 n ((n - 1) ) (n - 4) 2268 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n n 648 n ((n - 1) ) (n - 4) 3 n (n - 1) (n - 5) - --------------------------- - ------------------------- 6 n 3 4 4 n 2 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 13 n n 22 n 5 n 15 n (n - 1) (n - 5) 597 n ((n - 1) ) (n - 2) + ------------------------ + ---------------------------- 4 n 2 4 14 n 6 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 6 4 14 n 6 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 1134 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 14 n 6 4 14 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 14931 n ((n - 1) ) (n - 3) 6354 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 12 n 5 4 12 n 5 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 6642 n ((n - 1) ) (n - 3) 3888 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 23 n 4 n 972 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ---------------------------- + -------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 81 n ((n - 1) ) (n - 3) 315 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 21 n 3 n 2763 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------- 12 n 5 4 10 n 4 4 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 63 n ((n - 1) ) (n - 4) 291 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 10 n 4 4 10 n 4 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 10 n n 1551 n ((n - 1) ) (n - 4) 428391 n (n - 1) (n - 5) + ----------------------------- - ---------------------------- 10 n 4 4 4 n 2 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 5) 9 n n 8 n n 316287 n (n - 1) (n - 5) 299214 n (n - 1) (n - 5) + --------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n n 6 163296 n (n - 1) (n - 5) 38880 n (n - 1) (n - 5) (n - 2) n + --------------------------- - -------------------------- + ------------- 4 n 2 6 4 n 2 6 4 n (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 2 (n - 2) n n 5 n 4 n 3 3 (n - 2) n 11 (n - 2) n 3 (n - 2) n - ------------- + -------------- - ------------- 4 n 4 n 4 n (n - 2) n 2 (n - 2) n (n - 2) n 8 n n 7 n n 3045 n (n - 1) (n - 3) 1197 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 378 n (n - 1) (n - 3) 21 n (n - 1) (n - 3) - ------------------------ - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 12 n n 273 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) + ------------------------- - ----------------------- 4 n 2 4 2 n 2 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 51 n (n - 1) (n - 3) 345 n (n - 1) (n - 3) + ------------------------ - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 1185 n (n - 1) (n - 3) 2172 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2004 n (n - 1) (n - 3) 720 n (n - 1) (n - 3) + ------------------------- - ------------------------ 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 141 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 288 n ((n - 1) ) (n - 2) 108 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 1449 n (n - 1) (n - 3) 4011 n (n - 1) (n - 3) - -------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 129 n (n - 1) (n - 5) 1245 n (n - 1) (n - 5) - ------------------------- + -------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 10 n n 9 n n 7365 n (n - 1) (n - 5) 6825 n (n - 1) (n - 5) - -------------------------- + ------------------------- 4 n 2 4 4 n 2 4 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 8 n n 7 n n 3861 n (n - 1) (n - 5) 2430 n (n - 1) (n - 5) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n 4 n 648 n (n - 1) (n - 5) 675 n ((n - 1) ) (n - 2) - ------------------------ - ---------------------------- 4 n 2 4 8 n 5 6 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 411 n ((n - 1) ) (n - 2) 45 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 8 n 5 6 8 n 5 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 4 n 18 n 6 255 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) + ---------------------------- - ------------------ 8 n 5 6 16 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) 7 n n 6 n n 3402 n (n - 1) (n - 4) 972 n (n - 1) (n - 4) - ------------------------- + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 9 n ((n - 1) ) (n - 3) 153 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 1035 n ((n - 1) ) (n - 3) 3555 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3258 n ((n - 1) ) (n - 3) 3006 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 13 n n 1080 n ((n - 1) ) (n - 3) 9 n (n - 1) (n - 4) + ---------------------------- - ----------------------- 4 n 3 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 12 n n 11 n n 180 n (n - 1) (n - 4) 1494 n (n - 1) (n - 4) + ------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 6660 n (n - 1) (n - 4) 17181 n (n - 1) (n - 4) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 25560 n (n - 1) (n - 4) 20196 n (n - 1) (n - 4) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 8 n 7 n 6480 n (n - 1) (n - 4) 35667 n (n - 6) 104463 n (n - 6) + ------------------------- + ----------------- - ------------------ 2 n 2 6 n 6 n 6 (n - 1) (n ) (n - 4) 4 n (n - 6) 4 n (n - 6) 6 n 5 n 4 n 49488 n (n - 6) 58287 n (n - 6) 38520 n (n - 6) + ----------------- - ----------------- + ----------------- n 6 n 6 n 6 n (n - 6) n (n - 6) n (n - 6) 11 n 10 n 3 n 12 n 87 n (n - 6) 549 n (n - 6) 10800 n (n - 6) 3 n (n - 6) - --------------- + ---------------- - ----------------- + -------------- n 6 n 6 n 6 n 6 4 n (n - 6) 2 n (n - 6) n (n - 6) 4 n (n - 6) 9 n 22 n 6 21 n 6 3951 n (n - 6) 3 n ((n - 1) ) 15 n ((n - 1) ) - ---------------- - ----------------- + ------------------ n 6 16 n 6 16 n 6 2 n (n - 6) 4 (n - 1) (n ) 2 (n - 1) (n ) 20 n 6 19 n 6 15 n n 111 n ((n - 1) ) 45 n ((n - 1) ) n (n - 1) (n - 4) - ------------------- + ------------------ - ------------------------- 16 n 6 16 n 6 2 n 2 8 4 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 9 n 33 n (n - 1) (n - 4) 234 n (n - 1) (n - 4) 3 n (n - 3) + ------------------------- - ------------------------- + ------------- 2 n 2 8 2 n 2 8 n 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 4 n (n - 3) 8 n 7 n 6 n 5 n 51 n (n - 3) 345 n (n - 3) 1185 n (n - 3) 543 n (n - 3) - -------------- + --------------- - ---------------- + --------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) n (n - 3) 4 n 3 n 9 n n 501 n (n - 3) 180 n (n - 3) 1916498 n (n - 1) (n - 6) - --------------- + --------------- - ---------------------------- n 6 n 6 2 n 2 8 n (n - 3) n (n - 3) (n - 1) (n ) (n - 6) 8 n n 7 n n 1973076 n (n - 1) (n - 6) 1172160 n (n - 1) (n - 6) + ---------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 6 n n 16 n n 302400 n (n - 1) (n - 6) 51 n (n - 1) (n - 6) + --------------------------- + ------------------------- 2 n 2 8 4 n 2 6 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 17 n n 11 n n 3 n (n - 1) (n - 6) 934269 n (n - 1) (n - 6) - ------------------------- - ---------------------------- 4 n 2 6 4 n 2 6 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 10 n n 9 n n 924843 n (n - 1) (n - 6) 626883 n (n - 1) (n - 6) + ---------------------------- - --------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 8 n n 7 n n 276561 n (n - 1) (n - 6) 142560 n (n - 1) (n - 6) + --------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 13 n n 6957 n (n - 1) (n - 6) 81765 n (n - 1) (n - 6) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 6 n n 19 n 2 n 32400 n (n - 1) (n - 6) 3 n ((n - 1) ) (n - 5) + -------------------------- + -------------------------- 4 n 2 6 6 n 3 6 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 87 n ((n - 1) ) (n - 5) 558 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 4167 n ((n - 1) ) (n - 5) 40095 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 129735 n ((n - 1) ) (n - 5) 142797 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 210858 n ((n - 1) ) (n - 5) 199476 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 108864 n ((n - 1) ) (n - 5) 25920 n ((n - 1) ) (n - 5) - ------------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n 3 n 21 n 3 n 225 n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 4) + ---------------------------- - -------------------------- 8 n 4 6 8 n 4 6 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 612 n ((n - 1) ) (n - 4) 7605 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 59445 n ((n - 1) ) (n - 4) 151425 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 8 n 4 6 8 n 4 6 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 125541 n ((n - 1) ) (n - 4) 65205 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 8 n 4 6 8 n 4 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 38394 n ((n - 1) ) (n - 4) 9720 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 7 n ((n - 1) ) (n - 2) 14 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 2 12 n 4 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 189 n ((n - 1) ) (n - 2) 1393 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 12 n 4 2 12 n 4 2 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 6041 n ((n - 1) ) (n - 2) 3843 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 2 12 n 4 2 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n 3 n 1323 n ((n - 1) ) (n - 2) - ----------------------------- 12 n 4 2 2 (n - 1) (n ) (n - 2) and in Maple notation -162*n^18*((n-1)^n)^6/(n-1)^18/(n^n)^6+3*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-2*n^ 9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+12*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^ n/(n-2)^4-22*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+12*n^6*(n-1)^n/(n-1)^2 /(n^n)^2*(n-2)^n/(n-2)^4+3*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-24* n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+69*n^11*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-3)^n/(n-3)^4-84*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+36*n^ 9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^4+22*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-94*n^9*(n-1)^n/(n -1)^2/(n^n)^2*(n-4)^n/(n-4)^4+194*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-\ 192*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+72*n^6*(n-1)^n/(n-1)^2/(n^n)^2* (n-4)^n/(n-4)^4-2*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+12*n^14*((n-\ 1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4-22*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-\ 2)^n/(n-2)^4+12*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+1/2*n^17*((n-1 )^n)^5/(n-1)^12/(n^n)^5-5/2*n^16*((n-1)^n)^5/(n-1)^12/(n^n)^5+1/2/(n^n)*n^9*(n-\ 5)^n/(n-5)^4-15/2/(n^n)*n^8*(n-5)^n/(n-5)^4+91/2/(n^n)*n^7*(n-5)^n/(n-5)^4-285/ 2/(n^n)*n^6*(n-5)^n/(n-5)^4+242/(n^n)*n^5*(n-5)^n/(n-5)^4-210/(n^n)*n^4*(n-5)^n /(n-5)^4+72/(n^n)*n^3*(n-5)^n/(n-5)^4-27*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4-\ 3368016/(n^n)*n^6*(n-7)^n/(n-7)^8+3252654/(n^n)*n^5*(n-7)^n/(n-7)^8-1833840/(n^ n)*n^4*(n-7)^n/(n-7)^8+453600/(n^n)*n^3*(n-7)^n/(n-7)^8+1/8/(n^n)*n^15*(n-7)^n/ (n-7)^8-6/(n^n)*n^14*(n-7)^n/(n-7)^8+1037/8/(n^n)*n^13*(n-7)^n/(n-7)^8-1665/(n^ n)*n^12*(n-7)^n/(n-7)^8+113163/8/(n^n)*n^11*(n-7)^n/(n-7)^8-83628/(n^n)*n^10*(n -7)^n/(n-7)^8+2818031/8/(n^n)*n^9*(n-7)^n/(n-7)^8-1063245/(n^n)*n^8*(n-7)^n/(n-\ 7)^8+2277617/(n^n)*n^7*(n-7)^n/(n-7)^8+3/4*n^27*((n-1)^n)^7/(n-1)^20/(n^n)^7-45 /4*n^26*((n-1)^n)^7/(n-1)^20/(n^n)^7+279/4*n^25*((n-1)^n)^7/(n-1)^20/(n^n)^7-\ 915/4*n^24*((n-1)^n)^7/(n-1)^20/(n^n)^7+837/2*n^23*((n-1)^n)^7/(n-1)^20/(n^n)^7 -405*n^22*((n-1)^n)^7/(n-1)^20/(n^n)^7-6*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/( n-3)^4+48*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-138*n^8*(n-1)^n/(n-1)^2/( n^n)^2*(n-3)^n/(n-3)^4+168*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4-72*n^6*( n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^4+621*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^4-1719*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+2610*n^11*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-2052*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-3)^n/(n-3)^4+648*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4+9*n^15*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^4-117*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-3)^n/(n-3)^4+3/4/(n^n)*n^14*(n-6)^n/(n-6)^8-63/2/(n^n)*n^13*(n-6)^n/(n-6)^8+ 2355/4/(n^n)*n^12*(n-6)^n/(n-6)^8-12915/2/(n^n)*n^11*(n-6)^n/(n-6)^8+184509/4/( n^n)*n^10*(n-6)^n/(n-6)^8-450009/2/(n^n)*n^9*(n-6)^n/(n-6)^8+3053985/4/(n^n)*n^ 8*(n-6)^n/(n-6)^8-3596985/2/(n^n)*n^7*(n-6)^n/(n-6)^8+2874747/(n^n)*n^6*(n-6)^n /(n-6)^8-2959614/(n^n)*n^5*(n-6)^n/(n-6)^8+1758240/(n^n)*n^4*(n-6)^n/(n-6)^8-\ 453600/(n^n)*n^3*(n-6)^n/(n-6)^8-1/2*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6) ^8+21*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8-785/2*n^15*(n-1)^n/(n-1)^2/( n^n)^2*(n-6)^n/(n-6)^8+4305*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8-61503/ 2*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8+150003*n^12*(n-1)^n/(n-1)^2/(n^n )^2*(n-6)^n/(n-6)^8-1017995/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8+ 1198995*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8-3/4*n^24*((n-1)^n)^6/(n-1) ^18/(n^n)^6+45/4*n^23*((n-1)^n)^6/(n-1)^18/(n^n)^6-279/4*n^22*((n-1)^n)^6/(n-1) ^18/(n^n)^6+915/4*n^21*((n-1)^n)^6/(n-1)^18/(n^n)^6-837/2*n^20*((n-1)^n)^6/(n-1 )^18/(n^n)^6+405*n^19*((n-1)^n)^6/(n-1)^18/(n^n)^6-3*n^14*(n-1)^n/(n-1)^2/(n^n) ^2*(n-5)^n/(n-5)^6+72*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-738*n^12*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+4212*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/ (n-5)^6-14607*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6+31428*n^9*(n-1)^n/(n -1)^2/(n^n)^2*(n-5)^n/(n-5)^6-40812*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6 +29088*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^6-8640*n^6*(n-1)^n/(n-1)^2/(n^ n)^2*(n-5)^n/(n-5)^6-3330*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6+ 17181/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-12780*n^11*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6+10098*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n /(n-4)^6-90*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6+747*n^14*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-3240*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n /(n-4)^6+9/2*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^6-90*n^15*((n-1)^n) ^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6+3/4*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n /(n-2)^6+1185*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6-2172*n^14*((n-1) ^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6+2004*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-\ 3)^n/(n-3)^6+51*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6-345*n^16*((n-1 )^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6-720*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-\ 3)^n/(n-3)^6-3*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^6+1/8*n^23*((n-1) ^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8-15/4*n^22*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-\ 3)^n/(n-3)^8+189/4*n^21*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8-651/2*n^20* ((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8+10689/8*n^19*((n-1)^n)^4/(n-1)^8/(n ^n)^5*(n-3)^n/(n-3)^8-13335/4*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8+ 9833/2*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8-3897*n^16*((n-1)^n)^4/( n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8+1260*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n -3)^8-9/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+261/4*n^15*(n-1)^n/(n-1) ^4/(n^n)^2*(n-5)^n/(n-5)^6-837*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+ 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^4/(n^n)^2*(n-4)^n/(n-4)^4+7/2/(n^n)*n^7*(n-3)^n/(n-3)^4-28/(n^n)*n^6*(n-3)^n/( n-3)^4+161/2/(n^n)*n^5*(n-3)^n/(n-3)^4-98/(n^n)*n^4*(n-3)^n/(n-3)^4+42/(n^n)*n^ 3*(n-3)^n/(n-3)^4-9987*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+11886*n ^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-7812*n^10*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^6+2160*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+3/2 *n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-33*n^16*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^6-21/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+525/8* n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-714*n^13*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^6+17745/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-138705/8*n^ 11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+353325/8*n^10*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-4)^n/(n-4)^6-292929/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+152145/2 *n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-44793*n^7*(n-1)^n/(n-1)^4/(n^n)^2* (n-4)^n/(n-4)^6+11340*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+3/4*n^18*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-99/4*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*( n-4)^n/(n-4)^8+351*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-5607/2*n^15 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+55503/4*n^14*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-4)^n/(n-4)^8-176211/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^ 8+179013/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-111879*n^11*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+77706*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 4)^n/(n-4)^8-22680*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-3/2*n^16*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+111/2*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n /(n-5)^8-900*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+8415*n^13*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-5)^n/(n-5)^8-100359/2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5 )^8+398223/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-531435*n^10*(n-1)^n/( n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+939810*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5) ^8-1050444*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+667008*n^7*(n-1)^n/(n-1) ^2/(n^n)^2*(n-5)^n/(n-5)^8-181440*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+ 108*n^15*((n-1)^n)^5/(n-1)^16/(n^n)^5-81*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^4-309/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+402*n^11*(n-1)^n/( n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-10167/8*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^6+9987/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-5943/2*n^8*(n-1)^n/(n-1 )^4/(n^n)^2*(n-3)^n/(n-3)^6+1953*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-\ 540*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/8*n^14*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^6+33/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+189*n^12*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-3/2*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^ 4*(n-2)^n/(n-2)^4+24*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-162*n^17 *((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+597*n^16*((n-1)^n)^3/(n-1)^10/(n^ n)^4*(n-2)^n/(n-2)^4-2589/2*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+ 1647*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-1134*n^13*((n-1)^n)^3/(n -1)^10/(n^n)^4*(n-2)^n/(n-2)^4+324*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n -2)^4+34839/8*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-7413*n^12*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+7749*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^4-4536*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+1134*n^9*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+21/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-3)^n/(n-3)^4-189/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+735/2*n^ 15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-6447/4*n^14*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^4+309*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-\ 1608*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+10167/2*n^13*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-10503/2*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4) ^n/(n-4)^4+23403/2*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4-17136*n^15 *((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+15876*n^14*((n-1)^n)^3/(n-1)^10/( n^n)^4*(n-4)^n/(n-4)^4-8424*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+ 1944*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+3/8*n^19*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-5)^n/(n-5)^4-75/8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5 )^4+417/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-2715/4*n^16*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4+3/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^4-6*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+81/2*n^14*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^4+2589/8*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-1647/4*n^11 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+567/2*n^10*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^4+1869*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-18501/2* n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+58737/2*n^10*(n-1)^n/(n-1)^2/(n^n) ^2*(n-4)^n/(n-4)^8-59671*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+74586*n^8* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-51804*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4) ^n/(n-4)^8+15120*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+21/4/(n^n)*n^10*(n -4)^n/(n-4)^6-105/(n^n)*n^9*(n-4)^n/(n-4)^6+1743/2/(n^n)*n^8*(n-4)^n/(n-4)^6-\ 3885/(n^n)*n^7*(n-4)^n/(n-4)^6+40089/4/(n^n)*n^6*(n-4)^n/(n-4)^6-14910/(n^n)*n^ 5*(n-4)^n/(n-4)^6+11781/(n^n)*n^4*(n-4)^n/(n-4)^6-3780/(n^n)*n^3*(n-4)^n/(n-4)^ 6+22911/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-65415/8*n^14*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4+31971/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-5)^n/(n-5)^4-21105*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4+17982*n^ 11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-8910*n^10*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-5)^n/(n-5)^4+1944*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4+15/2 *n^24*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-3/8*n^25*((n-1)^n)^5/(n-1)^ 12/(n^n)^6*(n-2)^n/(n-2)^6+1065*n^20*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2) ^6-1683/2*n^19*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6+555/2*n^22*((n-1)^n )^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-5727/8*n^21*((n-1)^n)^5/(n-1)^12/(n^n)^6*( n-2)^n/(n-2)^6+270*n^18*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-249/4*n^23 *((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-33*n^22*((n-1)^n)^4/(n-1)^10/(n^n )^5*(n-3)^n/(n-3)^6+3/2*n^23*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6+309*n ^21*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6-1608*n^20*((n-1)^n)^4/(n-1)^10 /(n^n)^5*(n-3)^n/(n-3)^6+10167/2*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3 )^6-9987*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6+11886*n^17*((n-1)^n) ^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6-7812*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3 )^n/(n-3)^6+2160*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6+1476*n^17*(( n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^2-864*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^ 5*(n-3)^n/(n-3)^2+216*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^2+1659/2* n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^2-1412*n^18*((n-1)^n)^4/(n-1)^ 14/(n^n)^5*(n-3)^n/(n-3)^2-1/8*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^ 2+21/8*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^2-97/4*n^19*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-4)^n/(n-4)^2+517/4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^ n/(n-4)^2-1428*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^2+1323*n^14*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^2-702*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-4)^n/(n-4)^2+162*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^2-3501/8*n^ 17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^2+7801/8*n^16*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^2-3/2*n^25*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^ 4+24*n^24*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4-162*n^23*((n-1)^n)^5/(n-\ 1)^14/(n^n)^6*(n-2)^n/(n-2)^4-3/4*n^25*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-\ 2)^2+12*n^24*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^2-81*n^23*((n-1)^n)^5/( n-1)^16/(n^n)^6*(n-2)^n/(n-2)^2+597/2*n^22*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n /(n-2)^2-2589/4*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^2+1647/2*n^20*( (n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^2-567*n^19*((n-1)^n)^5/(n-1)^16/(n^n) ^6*(n-2)^n/(n-2)^2+162*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^2+1/2*n^ 23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^2-9*n^22*((n-1)^n)^4/(n-1)^14/(n^ n)^5*(n-3)^n/(n-3)^2+70*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^2-307*n ^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^2-1/8*n^18*((n-1)^n)^4/(n-1)^14/ (n^n)^4+15/8*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-93/8*n^16*((n-1)^n)^4/(n-1)^14/( n^n)^4+305/8*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-279/4*n^14*((n-1)^n)^4/(n-1)^14/ (n^n)^4+135/2*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/8/(n^n)*n^12*(n-4)^n/(n-4)^8-\ 33/8/(n^n)*n^11*(n-4)^n/(n-4)^8+117/2/(n^n)*n^10*(n-4)^n/(n-4)^8-1869/4/(n^n)*n ^9*(n-4)^n/(n-4)^8+18501/8/(n^n)*n^8*(n-4)^n/(n-4)^8-58737/8/(n^n)*n^7*(n-4)^n/ (n-4)^8+59671/4/(n^n)*n^6*(n-4)^n/(n-4)^8-37293/2/(n^n)*n^5*(n-4)^n/(n-4)^8+ 12951/(n^n)*n^4*(n-4)^n/(n-4)^8-3780/(n^n)*n^3*(n-4)^n/(n-4)^8+9/2/(n^n)*n^11*( n-5)^n/(n-5)^6-108/(n^n)*n^10*(n-5)^n/(n-5)^6+1107/(n^n)*n^9*(n-5)^n/(n-5)^6-\ 6318/(n^n)*n^8*(n-5)^n/(n-5)^6+43821/2/(n^n)*n^7*(n-5)^n/(n-5)^6-47142/(n^n)*n^ 6*(n-5)^n/(n-5)^6+61218/(n^n)*n^5*(n-5)^n/(n-5)^6-43632/(n^n)*n^4*(n-5)^n/(n-5) ^6+12960/(n^n)*n^3*(n-5)^n/(n-5)^6+3/(n^n)*n^8*(n-4)^n/(n-4)^4-33/(n^n)*n^7*(n-\ 4)^n/(n-4)^4+141/(n^n)*n^6*(n-4)^n/(n-4)^4-291/(n^n)*n^5*(n-4)^n/(n-4)^4+288/(n ^n)*n^4*(n-4)^n/(n-4)^4-108/(n^n)*n^3*(n-4)^n/(n-4)^4+3*n^20*((n-1)^n)^4/(n-1)^ 10/(n^n)^5*(n-2)^n/(n-2)^4-33*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4 +141*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-291*n^17*((n-1)^n)^4/(n-\ 1)^10/(n^n)^5*(n-2)^n/(n-2)^4+288*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-\ 2)^4-108*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-621/2*n^16*((n-1)^n) ^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+1719/2*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3 )^n/(n-3)^4-1305*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+1026*n^13*((n -1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-324*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*( n-3)^n/(n-3)^4-9/2*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+117/2*n^17* ((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+3*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-4)^n/(n-4)^4-48*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+324*n^14*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-1194*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-4)^n/(n-4)^4+2589*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-3294*n^ 11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+2268*n^10*((n-1)^n)^2/(n-1)^6/(n ^n)^3*(n-4)^n/(n-4)^4-648*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-3/4*n ^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4+15*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 5)^n/(n-5)^4+597*n^22*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4-2589/2*n^21* ((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4+1647*n^20*((n-1)^n)^5/(n-1)^14/(n^ n)^6*(n-2)^n/(n-2)^4-1134*n^19*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4+324 *n^18*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4+14931/4*n^19*((n-1)^n)^4/(n-\ 1)^12/(n^n)^5*(n-3)^n/(n-3)^4-6354*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n -3)^4+6642*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4-3888*n^16*((n-1)^n )^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4+972*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3 )^n/(n-3)^4+9/4*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4-81/2*n^22*((n -1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4+315*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5 *(n-3)^n/(n-3)^4-2763/2*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4-3/2*n ^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+63/2*n^20*((n-1)^n)^3/(n-1)^10 /(n^n)^4*(n-4)^n/(n-4)^4-291*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+ 1551*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4-428391/2*n^10*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^6+316287*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 6-299214*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+163296*n^7*(n-1)^n/(n-1)^4 /(n^n)^2*(n-5)^n/(n-5)^6-38880*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+1/2* (n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/(n-2)^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n )*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3-3045/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n -3)^4+1197*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-378*n^6*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^4-21/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+273/4 *n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n -3)^n/(n-3)^6+51*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-345*n^10*(n-1)^n/ (n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+1185*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^ 6-2172*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+2004*n^7*(n-1)^n/(n-1)^2/(n^ n)^2*(n-3)^n/(n-3)^6-720*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+3*n^14*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-33*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -2)^n/(n-2)^4+141*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-291*n^11*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+288*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-2)^n/(n-2)^4-108*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-1449/4*n^10* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+4011/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3 )^n/(n-3)^4-129*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4+1245/2*n^11*(n-1)^ n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4-7365/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/( n-5)^4+6825/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4-3861*n^8*(n-1)^n/(n-1 )^4/(n^n)^2*(n-5)^n/(n-5)^4+2430*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4-\ 648*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4-675/4*n^17*((n-1)^n)^4/(n-1)^8/ (n^n)^5*(n-2)^n/(n-2)^6+411/2*n^16*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6-\ 45/4*n^19*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6+255/4*n^18*((n-1)^n)^4/(n -1)^8/(n^n)^5*(n-2)^n/(n-2)^6-27*n^18*((n-1)^n)^6/(n-1)^16/(n^n)^6-3402*n^7*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+972*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^4+9/2*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-153/2*n^14*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+1035/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3 )^n/(n-3)^6-3555/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+3258*n^11*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-3006*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^ 3*(n-3)^n/(n-3)^6+1080*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-9*n^13*( n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+180*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^6-1494*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+6660*n^10*(n-1)^n/(n -1)^2/(n^n)^2*(n-4)^n/(n-4)^6-17181*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6 +25560*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-20196*n^7*(n-1)^n/(n-1)^2/(n ^n)^2*(n-4)^n/(n-4)^6+6480*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+35667/4/ (n^n)*n^8*(n-6)^n/(n-6)^6-104463/4/(n^n)*n^7*(n-6)^n/(n-6)^6+49488/(n^n)*n^6*(n -6)^n/(n-6)^6-58287/(n^n)*n^5*(n-6)^n/(n-6)^6+38520/(n^n)*n^4*(n-6)^n/(n-6)^6-\ 87/4/(n^n)*n^11*(n-6)^n/(n-6)^6+549/2/(n^n)*n^10*(n-6)^n/(n-6)^6-10800/(n^n)*n^ 3*(n-6)^n/(n-6)^6+3/4/(n^n)*n^12*(n-6)^n/(n-6)^6-3951/2/(n^n)*n^9*(n-6)^n/(n-6) ^6-3/4*n^22*((n-1)^n)^6/(n-1)^16/(n^n)^6+15/2*n^21*((n-1)^n)^6/(n-1)^16/(n^n)^6 -111/4*n^20*((n-1)^n)^6/(n-1)^16/(n^n)^6+45*n^19*((n-1)^n)^6/(n-1)^16/(n^n)^6-1 /2*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+33/2*n^14*(n-1)^n/(n-1)^2/(n^n) ^2*(n-4)^n/(n-4)^8-234*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+3/4/(n^n)*n ^9*(n-3)^n/(n-3)^6-51/4/(n^n)*n^8*(n-3)^n/(n-3)^6+345/4/(n^n)*n^7*(n-3)^n/(n-3) ^6-1185/4/(n^n)*n^6*(n-3)^n/(n-3)^6+543/(n^n)*n^5*(n-3)^n/(n-3)^6-501/(n^n)*n^4 *(n-3)^n/(n-3)^6+180/(n^n)*n^3*(n-3)^n/(n-3)^6-1916498*n^9*(n-1)^n/(n-1)^2/(n^n )^2*(n-6)^n/(n-6)^8+1973076*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8-1172160 *n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8+302400*n^6*(n-1)^n/(n-1)^2/(n^n)^2 *(n-6)^n/(n-6)^8+51/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6-3/8*n^17*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6-934269/8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-6 )^n/(n-6)^6+924843/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6-626883/2*n^9* (n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6+276561*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6 )^n/(n-6)^6-142560*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6+6957/4*n^14*(n-1 )^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6-81765/8*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^ n/(n-6)^6+32400*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6+3/2*n^19*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6-87/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n /(n-5)^6+558*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6-4167*n^16*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+40095/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-5)^n/(n-5)^6-129735/2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+142797 *n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6-210858*n^12*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-5)^n/(n-5)^6+199476*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5 )^6-108864*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+25920*n^9*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+225/4*n^20*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4) ^n/(n-4)^6-9/4*n^21*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6-612*n^19*((n-1) ^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6+7605/2*n^18*((n-1)^n)^3/(n-1)^8/(n^n)^4*( n-4)^n/(n-4)^6-59445/4*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6+151425/ 4*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6-125541/2*n^15*((n-1)^n)^3/(n -1)^8/(n^n)^4*(n-4)^n/(n-4)^6+65205*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n -4)^6-38394*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6+9720*n^12*((n-1)^n )^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6-7/8*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2) ^n/(n-2)^2+14*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-189/2*n^17*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+1393/4*n^16*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-2)^n/(n-2)^2-6041/8*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+ 3843/4*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-1323/2*n^13*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2 The, 4, 4, mixed moment of, X[1], and , X[3], is 24 n 8 20 n 5 n 567 n ((n - 1) ) 6696 n ((n - 1) ) (n - 3) - ------------------- - ----------------------------- 24 n 8 18 n 6 2 (n - 1) (n ) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 3132 n ((n - 1) ) (n - 3) 648 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 18 n 6 2 18 n 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 13513 n ((n - 1) ) (n - 3) 8358 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 18 n 6 2 18 n 6 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 305 n ((n - 1) ) (n - 4) 1065 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 9835 n ((n - 1) ) (n - 4) 15755 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 15885 n ((n - 1) ) (n - 4) 5805 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 16 n 5 2 16 n 5 2 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 2511 n ((n - 1) ) (n - 4) 486 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 71435 n ((n - 1) ) (n - 4) 57255 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 30 n 6 n 29 n 6 n n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 18 n 7 4 18 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 6 n 27 n 6 n 194 n ((n - 1) ) (n - 2) 1034 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 18 n 7 4 18 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 6 n 25 n 6 n 3501 n ((n - 1) ) (n - 2) 7801 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 18 n 7 4 18 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 6 n 23 n 6 n 11424 n ((n - 1) ) (n - 2) 10584 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 18 n 7 4 18 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 6 n 21 n 6 n 5616 n ((n - 1) ) (n - 2) 1296 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 18 n 7 4 18 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 40539 n ((n - 1) ) (n - 3) 50148 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 40176 n ((n - 1) ) (n - 3) 18792 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 28 n 5 n 3888 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------- 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 27 n 5 n 26 n 5 n 69 n ((n - 1) ) (n - 3) 354 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 16 n 6 4 16 n 6 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 5 n 24 n 5 n 2133 n ((n - 1) ) (n - 3) 16707 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 23 n 5 n 15 n 5 44409 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) + ------------------------------ + ----------------- 16 n 6 4 12 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) 9 n n 8 n n 2 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 22 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 3 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 69 n ((n - 1) ) (n - 3) 84 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11 n n 36 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) + -------------------------- - ----------------------- 4 n 3 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 10 n n 9 n n 22 n (n - 1) (n - 4) 94 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 194 n (n - 1) (n - 4) 192 n (n - 1) (n - 4) + ------------------------ - ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n 3 n 72 n (n - 1) (n - 4) 2 n ((n - 1) ) (n - 2) + ----------------------- - -------------------------- 2 n 2 4 6 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 12 n ((n - 1) ) (n - 2) 22 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 6 n 4 4 6 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 19 n 3 n 12 n ((n - 1) ) (n - 2) 150183 n ((n - 1) ) (n - 4) + --------------------------- - ------------------------------- 6 n 4 4 10 n 4 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 269955 n ((n - 1) ) (n - 4) 1364877 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1212390 n ((n - 1) ) (n - 4) 1482084 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 1185840 n ((n - 1) ) (n - 4) 557928 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 116640 n ((n - 1) ) (n - 4) 4707 n ((n - 1) ) (n - 5) + ------------------------------- + ----------------------------- 10 n 4 6 8 n 3 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 18 n 2 n 21 n 4 n 10827 n ((n - 1) ) (n - 5) 89865 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 3 6 12 n 5 6 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 270315 n ((n - 1) ) (n - 3) 138483 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 190746 n ((n - 1) ) (n - 3) 168804 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 86508 n ((n - 1) ) (n - 3) 19440 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 9 n ((n - 1) ) (n - 3) 243 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 1449 n ((n - 1) ) (n - 3) 10053 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 12 n 5 6 12 n 5 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 3627 n ((n - 1) ) (n - 4) 14400 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 9 n ((n - 1) ) (n - 4) 135 n ((n - 1) ) (n - 4) - -------------------------- + ---------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 4 n 21 n 3 n 69 n ((n - 1) ) (n - 3) 915 n ((n - 1) ) (n - 4) - --------------------------- - ---------------------------- 14 n 5 4 12 n 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 3195 n ((n - 1) ) (n - 4) 29505 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 47265 n ((n - 1) ) (n - 4) 214305 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 171765 n ((n - 1) ) (n - 4) 190620 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 139320 n ((n - 1) ) (n - 4) 60264 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 23 n 3 n 11664 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 22 n 3 n 17 n 5 16 n 5 39 n ((n - 1) ) (n - 4) n ((n - 1) ) 5 n ((n - 1) ) + --------------------------- + ----------------- - ----------------- 12 n 4 4 12 n 5 12 n 5 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) 2 (n - 1) (n ) 9 n 8 n 7 n 6 n n (n - 5) 15 n (n - 5) 91 n (n - 5) 285 n (n - 5) + ------------- - -------------- + -------------- - --------------- n 4 n 4 n 4 n 4 2 n (n - 5) 2 n (n - 5) 2 n (n - 5) 2 n (n - 5) 5 n 4 n 3 n 242 n (n - 5) 210 n (n - 5) 72 n (n - 5) + --------------- - --------------- + -------------- n 4 n 4 n 4 n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 20208096 n (n - 7) 19515924 n (n - 7) 11003040 n (n - 7) - -------------------- + -------------------- - -------------------- n 8 n 8 n 8 n (n - 7) n (n - 7) n (n - 7) 3 n 15 n 14 n 2721600 n (n - 7) 3 n (n - 7) 36 n (n - 7) + ------------------- + -------------- - --------------- n 8 n 8 n 8 n (n - 7) 4 n (n - 7) n (n - 7) 13 n 12 n 11 n 3111 n (n - 7) 9990 n (n - 7) 339489 n (n - 7) + ----------------- - ----------------- + ------------------- n 8 n 8 n 8 4 n (n - 7) n (n - 7) 4 n (n - 7) 10 n 9 n 8 n 501768 n (n - 7) 8454093 n (n - 7) 6379470 n (n - 7) - ------------------- + ------------------- - ------------------- n 8 n 8 n 8 n (n - 7) 4 n (n - 7) n (n - 7) 7 n 27 n 7 26 n 7 13665702 n (n - 7) 3 n ((n - 1) ) 45 n ((n - 1) ) + -------------------- + ----------------- - ------------------ n 8 20 n 7 20 n 7 n (n - 7) 4 (n - 1) (n ) 4 (n - 1) (n ) 25 n 7 24 n 7 23 n 7 279 n ((n - 1) ) 915 n ((n - 1) ) 837 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 20 n 7 20 n 7 20 n 7 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 22 n 7 10 n n 9 n n 405 n ((n - 1) ) 6 n (n - 1) (n - 3) 48 n (n - 1) (n - 3) - ------------------- - ----------------------- + ----------------------- 20 n 7 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 138 n (n - 1) (n - 3) 168 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 4 2 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 2 n 72 n (n - 1) (n - 3) 828 n ((n - 1) ) (n - 3) - ----------------------- + ---------------------------- 2 n 2 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 2292 n ((n - 1) ) (n - 3) 3480 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 2736 n ((n - 1) ) (n - 3) 864 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 12 n ((n - 1) ) (n - 3) 156 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 6 14 n 13 n 324 n ((n - 1) ) 9 n (n - 6) 189 n (n - 6) - ------------------- + -------------- - ---------------- 20 n 6 n 8 n 8 (n - 1) (n ) 2 n (n - 6) n (n - 6) 12 n 11 n 10 n 7065 n (n - 6) 38745 n (n - 6) 553527 n (n - 6) + ----------------- - ------------------ + ------------------- n 8 n 8 n 8 2 n (n - 6) n (n - 6) 2 n (n - 6) 9 n 8 n 7 n 1350027 n (n - 6) 9161955 n (n - 6) 10790955 n (n - 6) - ------------------- + ------------------- - -------------------- n 8 n 8 n 8 n (n - 6) 2 n (n - 6) n (n - 6) 6 n 5 n 4 n 17248482 n (n - 6) 17757684 n (n - 6) 10549440 n (n - 6) + -------------------- - -------------------- + -------------------- n 8 n 8 n 8 n (n - 6) n (n - 6) n (n - 6) 3 n 17 n n 2721600 n (n - 6) 3 n (n - 1) (n - 6) - ------------------- - ----------------------- n 8 2 n 2 8 n (n - 6) (n - 1) (n ) (n - 6) 16 n n 15 n n 126 n (n - 1) (n - 6) 2355 n (n - 1) (n - 6) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 13 n n 25830 n (n - 1) (n - 6) 184509 n (n - 1) (n - 6) + --------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n n 11 n n 900018 n (n - 1) (n - 6) 3053985 n (n - 1) (n - 6) + ---------------------------- - ----------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 16 n 3 n 7193970 n (n - 1) (n - 6) 7801 n ((n - 1) ) (n - 2) + ----------------------------- + ----------------------------- 2 n 2 8 12 n 4 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2856 n ((n - 1) ) (n - 2) 2646 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1404 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 29955 n ((n - 1) ) (n - 3) 90105 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 46161 n ((n - 1) ) (n - 3) 31791 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 28134 n ((n - 1) ) (n - 3) 14418 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 3240 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ---------------------------- + -------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 81 n ((n - 1) ) (n - 3) 483 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 14 n n 3351 n ((n - 1) ) (n - 3) 7 n (n - 1) (n - 5) - ----------------------------- - ----------------------- 8 n 3 6 2 n 2 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 13 n n 12 n n 168 n (n - 1) (n - 5) 1722 n (n - 1) (n - 5) + ------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 9828 n (n - 1) (n - 5) 34083 n (n - 1) (n - 5) + -------------------------- - --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 73332 n (n - 1) (n - 5) 95228 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 67872 n (n - 1) (n - 5) 20160 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 7770 n ((n - 1) ) (n - 4) 40089 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 29820 n ((n - 1) ) (n - 4) 23562 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 210 n ((n - 1) ) (n - 4) 1743 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n 2 n 7560 n ((n - 1) ) (n - 4) 21 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 4 n 20 n 4 n 210 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 8 n 5 6 8 n 5 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2765 n ((n - 1) ) (n - 3) 5068 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 17 n 3 n 4676 n ((n - 1) ) (n - 3) 119 n ((n - 1) ) (n - 3) + ----------------------------- + ---------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 12 n 3 n 805 n ((n - 1) ) (n - 3) 1680 n ((n - 1) ) (n - 3) - ---------------------------- - ----------------------------- 6 n 4 6 6 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n n 7 n ((n - 1) ) (n - 3) n (n - 1) (n - 4) - -------------------------- - ------------------------- 6 n 4 6 4 n 2 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 16 n n 15 n n 19 n (n - 1) (n - 4) 639 n (n - 1) (n - 4) + ------------------------- - ------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n n 18 n 4 n 1569 n (n - 1) (n - 4) 11424 n ((n - 1) ) (n - 2) + -------------------------- + ------------------------------ 4 n 2 8 14 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 10584 n ((n - 1) ) (n - 2) 5616 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 16 n 3 n 1296 n ((n - 1) ) (n - 2) 94591 n ((n - 1) ) (n - 3) - ----------------------------- - ------------------------------ 14 n 5 4 12 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 58506 n ((n - 1) ) (n - 3) 46872 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 21924 n ((n - 1) ) (n - 3) 4536 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 413 n ((n - 1) ) (n - 3) 4977 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 38983 n ((n - 1) ) (n - 3) 103621 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n n 12 n n 39999 n (n - 1) (n - 4) 86835 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 524033 n (n - 1) (n - 4) 274576 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 391380 n (n - 1) (n - 4) 360828 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 193212 n (n - 1) (n - 4) 45360 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 7 22 n 3 n 486 n ((n - 1) ) 7 n ((n - 1) ) (n - 3) + ------------------- - -------------------------- 22 n 7 12 n 4 4 (n - 1) (n ) 4 (n - 1) (n ) (n - 3) 21 n 3 n 18 n 3 n 161 n ((n - 1) ) (n - 3) 29955 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 12 n 4 4 10 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 90105 n ((n - 1) ) (n - 3) 92322 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 127164 n ((n - 1) ) (n - 3) 112536 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 57672 n ((n - 1) ) (n - 3) 12960 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 3 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 483 n ((n - 1) ) (n - 3) 3351 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 8463 n ((n - 1) ) (n - 4) 8400 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 21 n ((n - 1) ) (n - 4) 315 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 350427 n ((n - 1) ) (n - 4) 629895 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 3184713 n ((n - 1) ) (n - 4) 1414455 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 864549 n ((n - 1) ) (n - 4) 691740 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 325458 n ((n - 1) ) (n - 4) 68040 n ((n - 1) ) (n - 4) + ------------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 4) 38 n ((n - 1) ) (n - 4) + ------------------------ - --------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 639 n ((n - 1) ) (n - 4) 6276 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 39999 n ((n - 1) ) (n - 4) 173670 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 524033 n ((n - 1) ) (n - 4) 1098304 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1565520 n ((n - 1) ) (n - 4) 1443312 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 772848 n ((n - 1) ) (n - 4) 181440 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 5537 n (n - 1) (n - 5) 15456 n (n - 1) (n - 5) - -------------------------- + --------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 13 n n 455721 n (n - 1) (n - 5) 1167831 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n n 11 n n 8530991 n (n - 1) (n - 5) 5590263 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 10427788 n (n - 1) (n - 5) 13484436 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 11455668 n (n - 1) (n - 5) 5727456 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n n 1270080 n (n - 1) (n - 5) 7 n (n - 1) (n - 5) - ---------------------------- - ------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 17 n n 18 n n 147 n (n - 1) (n - 5) n (n - 1) (n - 5) + ------------------------- - -------------------------- 4 n 2 8 2 n 2 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 17 n n 16 n n 27 n (n - 1) (n - 5) 1301 n (n - 1) (n - 5) + -------------------------- - -------------------------- 2 n 2 10 2 n 2 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 15 n n 14 n n 9237 n (n - 1) (n - 5) 172023 n (n - 1) (n - 5) + -------------------------- - ---------------------------- 2 n 2 10 2 n 2 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 13 n n 12 n n 552681 n (n - 1) (n - 5) 5019503 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 2 n 2 10 2 n 2 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 11 n n 10 n n 8103411 n (n - 1) (n - 5) 9215089 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 2 n 2 10 2 n 2 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 14365146 n (n - 1) (n - 5) 14525424 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 8518176 n (n - 1) (n - 5) 2177280 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 23 n 4 n 22 n 4 n 3 n ((n - 1) ) (n - 3) 45 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 5 8 8 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 567 n ((n - 1) ) (n - 3) 1953 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 5 8 8 n 5 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 32067 n ((n - 1) ) (n - 3) 40005 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 5 8 8 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 29499 n ((n - 1) ) (n - 3) 23382 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 5 8 8 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 22 n 4 n 7560 n ((n - 1) ) (n - 3) 679 n ((n - 1) ) (n - 2) + ----------------------------- + ---------------------------- 8 n 5 8 16 n 5 2 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 3619 n ((n - 1) ) (n - 2) 2457 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 16 n 5 2 16 n 5 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 567 n ((n - 1) ) (n - 2) 24507 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 54607 n ((n - 1) ) (n - 2) 4998 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 16 n 5 2 16 n 5 2 16 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 24 n 4 n 9261 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 16 n 5 2 16 n 5 2 2 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 23 n 4 n 24 n 4 n 147 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------ 16 n 5 2 14 n 5 4 16 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 21 n ((n - 1) ) (n - 2) 194 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 1034 n ((n - 1) ) (n - 2) 3501 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 16 n n 7801 n ((n - 1) ) (n - 2) 9 n (n - 1) (n - 5) - ----------------------------- - ----------------------- 14 n 5 4 4 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 5) 15 n n 14 n n 261 n (n - 1) (n - 5) 3348 n (n - 1) (n - 5) + ------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 25002 n (n - 1) (n - 5) 120285 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 18 n 3 n 389205 n (n - 1) (n - 5) 1854 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 4 n 2 6 8 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 9648 n ((n - 1) ) (n - 3) 30501 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 59922 n ((n - 1) ) (n - 3) 71316 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 46872 n ((n - 1) ) (n - 3) 12960 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 3) 198 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 18 n ((n - 1) ) (n - 4) 450 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 4896 n ((n - 1) ) (n - 4) 30420 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 118890 n ((n - 1) ) (n - 4) 302850 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 502164 n ((n - 1) ) (n - 4) 521640 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 307152 n ((n - 1) ) (n - 4) 77760 n ((n - 1) ) (n - 4) + ------------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 1260 n ((n - 1) ) (n - 3) 5526 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 9 n ((n - 1) ) (n - 4) 189 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 873 n ((n - 1) ) (n - 4) 4653 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 31509 n ((n - 1) ) (n - 4) 70209 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 51408 n ((n - 1) ) (n - 4) 47628 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 25272 n ((n - 1) ) (n - 4) 5832 n ((n - 1) ) (n - 4) + ------------------------------ - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 9 n ((n - 1) ) (n - 2) 72 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 486 n ((n - 1) ) (n - 2) 1791 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 7767 n ((n - 1) ) (n - 2) 4941 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 3402 n ((n - 1) ) (n - 2) 972 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 14931 n ((n - 1) ) (n - 3) 25416 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 26568 n ((n - 1) ) (n - 3) 15552 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 3 n 3888 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 15 n n 162 n ((n - 1) ) (n - 3) 1551 n (n - 1) (n - 6) + ---------------------------- - -------------------------- 10 n 4 4 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 6) 12 n n 21 n 7 165105 n (n - 1) (n - 6) 162 n ((n - 1) ) + ---------------------------- + ------------------- 4 n 2 6 20 n 7 (n - 1) (n ) (n - 6) (n - 1) (n ) 30 n 6 n 29 n 6 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 20 n 7 2 20 n 7 2 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 28 n 6 n 27 n 6 n 291 n ((n - 1) ) (n - 2) 1551 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 20 n 7 2 20 n 7 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 26 n 6 n 25 n 6 n 10503 n ((n - 1) ) (n - 2) 23403 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 20 n 7 2 20 n 7 2 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 22 n 6 n 21 n 6 n 2106 n ((n - 1) ) (n - 2) 486 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 20 n 7 2 20 n 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 6 n 23 n 6 n 4284 n ((n - 1) ) (n - 2) 3969 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 20 n 7 2 20 n 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n n ((n - 1) ) (n - 3) 23 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 18 n 6 2 18 n 6 2 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 26 n 5 n 25 n 5 n 59 n ((n - 1) ) (n - 3) 711 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 18 n 6 2 18 n 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 24 n 5 n 23 n 5 n 5569 n ((n - 1) ) (n - 3) 14803 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 18 n 6 2 18 n 6 2 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 3 n ((n - 1) ) (n - 4) 99 n ((n - 1) ) (n - 4) - -------------------------- + --------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 1404 n ((n - 1) ) (n - 4) 11214 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 55503 n ((n - 1) ) (n - 4) 176211 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 358026 n ((n - 1) ) (n - 4) 447516 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 310824 n ((n - 1) ) (n - 4) 90720 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 9 n ((n - 1) ) (n - 5) 333 n ((n - 1) ) (n - 5) + -------------------------- - ---------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 2700 n ((n - 1) ) (n - 5) 25245 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 301077 n ((n - 1) ) (n - 5) 1194669 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 1594305 n ((n - 1) ) (n - 5) 2819430 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 3151332 n ((n - 1) ) (n - 5) 2001024 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 11 n n 544320 n ((n - 1) ) (n - 5) n (n - 1) (n - 2) + ------------------------------ - ----------------------- 4 n 3 8 4 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 10 n n 9 n n 11 n (n - 1) (n - 2) 47 n (n - 1) (n - 2) + ------------------------ - ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 97 n (n - 1) (n - 2) 96 n (n - 1) (n - 2) + ----------------------- - ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 13 n 12 n 36 n (n - 1) (n - 2) 21 n (n - 5) 777 n (n - 5) + ----------------------- + --------------- - ---------------- 4 n 2 4 n 8 n 8 (n - 1) (n ) (n - 2) 4 n (n - 5) 4 n (n - 5) 11 n 10 n 9 n 3150 n (n - 5) 58905 n (n - 5) 702513 n (n - 5) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 n (n - 5) 2 n (n - 5) 4 n (n - 5) 8 n 7 n 6 n 2787561 n (n - 5) 3720045 n (n - 5) 3289335 n (n - 5) - ------------------- + ------------------- - ------------------- n 8 n 8 n 8 4 n (n - 5) 2 n (n - 5) n (n - 5) 5 n 4 n 3 n 3676554 n (n - 5) 2334528 n (n - 5) 635040 n (n - 5) + ------------------- - ------------------- + ------------------ n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 17 n 18 n 15 n 9 n (n - 8) n (n - 8) 5985 n (n - 8) - -------------- + --------------- - ----------------- n 10 n 10 n 10 2 n (n - 8) 16 n (n - 8) 2 n (n - 8) 13 n 14 n 16 n 806463 n (n - 8) 327551 n (n - 8) 595 n (n - 8) - ------------------- + ------------------- + ---------------- n 10 n 10 n 10 2 n (n - 8) 8 n (n - 8) 4 n (n - 8) 10 n 12 n 6 n 1097795993 n (n - 8) 11800505 n (n - 8) 1181601369 n (n - 8) + ----------------------- + --------------------- + ---------------------- n 10 n 10 n 10 16 n (n - 8) 4 n (n - 8) n (n - 8) 5 n 11 n 8 n 1000243728 n (n - 8) 32619555 n (n - 8) 1054985365 n (n - 8) - ---------------------- - --------------------- + ---------------------- n 10 n 10 n 10 n (n - 8) 2 n (n - 8) 2 n (n - 8) 9 n 4 n 7 n 219323286 n (n - 8) 505446480 n (n - 8) 935553780 n (n - 8) - --------------------- + --------------------- - --------------------- n 10 n 10 n 10 n (n - 8) n (n - 8) n (n - 8) 3 n 18 n 3 n 114307200 n (n - 8) 197475 n ((n - 1) ) (n - 5) - --------------------- - ------------------------------- n 10 12 n 4 4 n (n - 8) 4 (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n 200125 n ((n - 1) ) (n - 5) 146280 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 3 n 14 n 3 n 150300 n ((n - 1) ) (n - 5) 102924 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 42120 n ((n - 1) ) (n - 5) 7776 n ((n - 1) ) (n - 5) + ------------------------------ - ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 29 n 6 n 30 n 6 n 75 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 16 n 7 6 16 n 7 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 27 n 6 n 28 n 6 n 2535 n ((n - 1) ) (n - 2) 102 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 16 n 7 6 16 n 7 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 6 n 22 n 6 n 21735 n ((n - 1) ) (n - 2) 6399 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 16 n 7 6 16 n 7 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 6 n 24 n 6 n 50475 n ((n - 1) ) (n - 2) 41847 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 16 n 7 6 16 n 7 6 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 6 n 26 n 6 n 1620 n ((n - 1) ) (n - 2) 19815 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 16 n 7 6 16 n 7 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 27 n 5 n 28 n 5 n 81 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 14 n 6 6 14 n 6 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 25 n 5 n 26 n 5 n 3351 n ((n - 1) ) (n - 3) 483 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 14 n 6 6 14 n 6 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 5 n 23 n 5 n 29955 n ((n - 1) ) (n - 3) 90105 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 14 n 6 6 14 n 6 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 92322 n ((n - 1) ) (n - 3) 127164 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 14 n 6 6 14 n 6 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 112536 n ((n - 1) ) (n - 3) 57672 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 14 n 6 6 14 n 6 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 12 n 2 n 12960 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------- 14 n 6 6 4 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 18 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 4 n 3 4 4 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 25 n 4 n 18 n ((n - 1) ) (n - 2) 135 n ((n - 1) ) (n - 4) - -------------------------- - ---------------------------- 4 n 3 4 12 n 5 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 4) 26 n 4 n 23 n 4 n 9 n ((n - 1) ) (n - 4) 7200 n ((n - 1) ) (n - 4) + -------------------------- - ----------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 4 n 22 n 4 n 3627 n ((n - 1) ) (n - 4) 150183 n ((n - 1) ) (n - 4) + ----------------------------- + ------------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 21 n 4 n 20 n 4 n 269955 n ((n - 1) ) (n - 4) 1364877 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 12 n 5 6 12 n 5 6 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 606195 n ((n - 1) ) (n - 4) 741042 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 592920 n ((n - 1) ) (n - 4) 278964 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 6 n ((n - 1) ) (n - 2) 66 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 282 n ((n - 1) ) (n - 2) 582 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 576 n ((n - 1) ) (n - 2) 216 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n n 19 n n n (n - 1) (n - 7) 53 n (n - 1) (n - 7) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 13 n n 12 n n 6 n (n - 1) (n - 4) 96 n (n - 1) (n - 4) - ----------------------- + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 648 n (n - 1) (n - 4) 2388 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 7 n 5178 n (n - 1) (n - 4) 6588 n (n - 1) (n - 4) 7 n (n - 3) - ------------------------- + ------------------------- + ------------- 4 n 2 4 4 n 2 4 n 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 2 n (n - 3) 6 n 5 n 4 n 3 n 28 n (n - 3) 161 n (n - 3) 98 n (n - 3) 42 n (n - 3) - -------------- + --------------- - -------------- + -------------- n 4 n 4 n 4 n 4 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 12 n 2 n 11 n 2 n 39948 n ((n - 1) ) (n - 3) 47544 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 31248 n ((n - 1) ) (n - 3) 8640 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 6 n ((n - 1) ) (n - 3) 132 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 21 n (n - 1) (n - 4) 525 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 2856 n (n - 1) (n - 4) 17745 n (n - 1) (n - 4) - -------------------------- + --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 138705 n (n - 1) (n - 4) 353325 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 9 n n 8 n n 292929 n (n - 1) (n - 4) 304290 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 179172 n (n - 1) (n - 4) 45360 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 24 n 3 n 58320 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 5) - ------------------------------ - -------------------------- 12 n 5 6 10 n 4 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 5) 23 n 3 n 22 n 3 n 51 n ((n - 1) ) (n - 5) 1569 n ((n - 1) ) (n - 5) + --------------------------- - ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 21 n 3 n 18 n 2 n 7218 n ((n - 1) ) (n - 5) 9 n ((n - 1) ) (n - 4) + ----------------------------- + -------------------------- 10 n 4 6 4 n 3 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 297 n ((n - 1) ) (n - 4) 2106 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 16821 n ((n - 1) ) (n - 4) 166509 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 528633 n ((n - 1) ) (n - 4) 537039 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 671274 n ((n - 1) ) (n - 4) 466236 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 136080 n ((n - 1) ) (n - 4) 9 n (n - 1) (n - 5) - ------------------------------ - ----------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 15 n n 14 n n 333 n (n - 1) (n - 5) 5400 n (n - 1) (n - 5) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 50490 n (n - 1) (n - 5) 301077 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 1194669 n (n - 1) (n - 5) 3188610 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 5638860 n (n - 1) (n - 5) 6302664 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 4002048 n (n - 1) (n - 5) 1088640 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 12 n n 162 n ((n - 1) ) (n - 2) 309 n (n - 1) (n - 3) - --------------------------- - ------------------------- 8 n 3 4 4 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n n 10 n n 1608 n (n - 1) (n - 3) 10167 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 9987 n (n - 1) (n - 3) 11886 n (n - 1) (n - 3) + ------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 7812 n (n - 1) (n - 3) 2160 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 33 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 57 n ((n - 1) ) (n - 4) 1917 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 9414 n ((n - 1) ) (n - 4) 119997 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 260505 n ((n - 1) ) (n - 4) 1572099 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1647456 n ((n - 1) ) (n - 4) 2348280 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 2164968 n ((n - 1) ) (n - 4) 1159272 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 272160 n ((n - 1) ) (n - 4) 2373 n ((n - 1) ) (n - 5) + ------------------------------- + ----------------------------- 8 n 4 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 26496 n ((n - 1) ) (n - 5) 195309 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 1000998 n ((n - 1) ) (n - 5) 3656139 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 9583308 n ((n - 1) ) (n - 5) 17876208 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 23116176 n ((n - 1) ) (n - 5) 19638288 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 9818496 n ((n - 1) ) (n - 5) 2177280 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 3 n 18 n 3 n 3 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 324 n ((n - 1) ) (n - 2) 1194 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2589 n ((n - 1) ) (n - 2) 3294 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 2268 n ((n - 1) ) (n - 2) 648 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 34839 n ((n - 1) ) (n - 3) 14826 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 15498 n ((n - 1) ) (n - 3) 9072 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 2268 n ((n - 1) ) (n - 3) 21 n ((n - 1) ) (n - 3) + ---------------------------- + --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 189 n ((n - 1) ) (n - 3) 735 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 15 n 2 n 6447 n ((n - 1) ) (n - 3) 1236 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 3 4 6 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 6432 n ((n - 1) ) (n - 3) 20334 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 10503 n ((n - 1) ) (n - 4) 23403 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 34272 n ((n - 1) ) (n - 4) 31752 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 16848 n ((n - 1) ) (n - 4) 3888 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 3 n ((n - 1) ) (n - 5) 75 n ((n - 1) ) (n - 5) + -------------------------- - --------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 417 n ((n - 1) ) (n - 5) 2715 n ((n - 1) ) (n - 5) + ---------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 21 n 2 n 22 n 2 n 117 n ((n - 1) ) (n - 6) 3 n ((n - 1) ) (n - 6) - ---------------------------- + -------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 19 n 2 n 20 n 2 n 22281 n ((n - 1) ) (n - 6) 2079 n ((n - 1) ) (n - 6) - ------------------------------ + ----------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 14 n 2 n 13 n 2 n 2170197 n ((n - 1) ) (n - 6) 3231033 n ((n - 1) ) (n - 6) + -------------------------------- - -------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n 2 n 15 n 16 n 3406014 n ((n - 1) ) (n - 6) 413 n (n - 6) 7 n (n - 6) + -------------------------------- - ---------------- + --------------- 8 n 3 6 n 10 n 10 (n - 1) (n ) (n - 6) 16 n (n - 6) 16 n (n - 6) 14 n 12 n 13 n 10997 n (n - 6) 1850751 n (n - 6) 174853 n (n - 6) + ------------------ + -------------------- - ------------------- n 10 n 10 n 10 16 n (n - 6) 16 n (n - 6) 16 n (n - 6) 11 n 10 n 6 n 13758339 n (n - 6) 73824191 n (n - 6) 302229039 n (n - 6) - --------------------- + --------------------- + --------------------- n 10 n 10 n 10 16 n (n - 6) 16 n (n - 6) 2 n (n - 6) 5 n 8 n 9 n 142004268 n (n - 6) 412630631 n (n - 6) 289130359 n (n - 6) - --------------------- + --------------------- - --------------------- n 10 n 10 n 10 n (n - 6) 8 n (n - 6) 16 n (n - 6) 4 n 7 n 3 n 78344280 n (n - 6) 423084137 n (n - 6) 19051200 n (n - 6) + -------------------- - --------------------- - -------------------- n 10 n 10 n 10 n (n - 6) 4 n (n - 6) n (n - 6) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 12 n n 567 n ((n - 1) ) (n - 2) 11214 n (n - 1) (n - 4) + ---------------------------- + --------------------------- 8 n 3 4 2 n 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 11 n n 10 n n 55503 n (n - 1) (n - 4) 176211 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 358026 n (n - 1) (n - 4) 447516 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 310824 n (n - 1) (n - 4) 90720 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 9 n 8 n 7 n 49 n (n - 4) 245 n (n - 4) 4067 n (n - 4) 9065 n (n - 4) + --------------- - --------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 4 n (n - 4) n (n - 4) 2 n (n - 4) n (n - 4) 6 n 5 n 4 n 93541 n (n - 4) 34790 n (n - 4) 27489 n (n - 4) + ----------------- - ----------------- + ----------------- n 6 n 6 n 6 4 n (n - 4) n (n - 4) n (n - 4) 3 n 15 n 2 n 8820 n (n - 4) 22911 n ((n - 1) ) (n - 5) - ---------------- + ------------------------------ n 6 8 n 3 4 n (n - 4) 4 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 65415 n ((n - 1) ) (n - 5) 31971 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 42210 n ((n - 1) ) (n - 5) 35964 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------ 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 17820 n ((n - 1) ) (n - 5) 3888 n ((n - 1) ) (n - 5) - ------------------------------ + ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 5 n 25 n 5 n 30 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 12 n 6 6 12 n 6 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 4260 n ((n - 1) ) (n - 2) 3366 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 6 6 12 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 1110 n ((n - 1) ) (n - 2) 5727 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 6 6 12 n 6 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 1080 n ((n - 1) ) (n - 2) 249 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 6 6 12 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 23 n 4 n 132 n ((n - 1) ) (n - 3) 6 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 1236 n ((n - 1) ) (n - 3) 6432 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 20334 n ((n - 1) ) (n - 3) 39948 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 47544 n ((n - 1) ) (n - 3) 31248 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 5 6 10 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 21 n 2 n 8640 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 5) + ----------------------------- + -------------------------- 10 n 5 6 4 n 3 10 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 5) 20 n 2 n 19 n 2 n 81 n ((n - 1) ) (n - 5) 3903 n ((n - 1) ) (n - 5) - --------------------------- + ----------------------------- 4 n 3 10 4 n 3 10 4 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 27711 n ((n - 1) ) (n - 5) 516069 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------- 4 n 3 10 4 n 3 10 4 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 1658043 n ((n - 1) ) (n - 5) 15058509 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 4 n 3 10 4 n 3 10 4 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 24310233 n ((n - 1) ) (n - 5) 27645267 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 4 n 3 10 4 n 3 10 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 21547719 n ((n - 1) ) (n - 5) 21788136 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 4 n 3 10 4 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 12777264 n ((n - 1) ) (n - 5) 3265920 n ((n - 1) ) (n - 5) - --------------------------------- + ------------------------------- 4 n 3 10 4 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 25 n 5 n 24 n 5 n 3 n ((n - 1) ) (n - 2) 48 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 14 n 6 4 14 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 23 n 5 22 n 5 324 n ((n - 1) ) (n - 2) n ((n - 1) ) 5 n ((n - 1) ) - ---------------------------- + ------------------ - ----------------- 14 n 6 4 18 n 5 18 n 5 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) 4 (n - 1) (n ) 21 n 5 20 n 5 87 n ((n - 1) ) 215 n ((n - 1) ) + ------------------ - ------------------- 18 n 5 18 n 5 8 (n - 1) (n ) 4 (n - 1) (n ) 17 n 4 n 25 n 4 n 10044 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ------------------------------ + -------------------------- 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 24 n 4 n 27 n 5 n 69 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 2) - --------------------------- - -------------------------- 16 n 5 2 16 n 6 4 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 63 n ((n - 1) ) (n - 2) 291 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 16 n 6 4 16 n 6 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 1551 n ((n - 1) ) (n - 2) 10503 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 23403 n ((n - 1) ) (n - 2) 17136 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 6 4 16 n 6 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 15876 n ((n - 1) ) (n - 2) 8424 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 16 n 6 4 16 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 19 n 4 n 1944 n ((n - 1) ) (n - 2) 81078 n ((n - 1) ) (n - 3) + ----------------------------- + ------------------------------ 16 n 6 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 100296 n ((n - 1) ) (n - 3) 80352 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 37584 n ((n - 1) ) (n - 3) 7776 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 708 n ((n - 1) ) (n - 3) 4266 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 16707 n ((n - 1) ) (n - 3) 44409 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 4 n 19 n 5 18 n 5 3 n ((n - 1) ) (n - 3) 2641 n ((n - 1) ) 645 n ((n - 1) ) + -------------------------- + -------------------- - ------------------- 14 n 5 4 18 n 5 18 n 5 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) 2 (n - 1) (n ) 17 n 5 16 n 5 29 n 7 783 n ((n - 1) ) 270 n ((n - 1) ) 3 n ((n - 1) ) + ------------------- - ------------------- + ----------------- 18 n 5 18 n 5 22 n 7 2 (n - 1) (n ) (n - 1) (n ) 8 (n - 1) (n ) 28 n 7 27 n 7 26 n 7 15 n ((n - 1) ) 261 n ((n - 1) ) 645 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 22 n 7 22 n 7 22 n 7 2 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 25 n 7 24 n 7 23 n 7 7923 n ((n - 1) ) 1935 n ((n - 1) ) 2349 n ((n - 1) ) + -------------------- - -------------------- + -------------------- 22 n 7 22 n 7 22 n 7 8 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 22 n 7 21 n 2 n 1620 n ((n - 1) ) 177 n ((n - 1) ) (n - 6) - -------------------- - ---------------------------- 22 n 7 4 n 3 10 (n - 1) (n ) 8 (n - 1) (n ) (n - 6) 22 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 6) 4713 n ((n - 1) ) (n - 6) + -------------------------- + ----------------------------- 4 n 3 10 4 n 3 10 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 18 n 2 n 19 n 2 n 793179 n ((n - 1) ) (n - 6) 74937 n ((n - 1) ) (n - 6) + ------------------------------- - ------------------------------ 4 n 3 10 4 n 3 10 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 17 n 2 n 16 n 2 n 5896431 n ((n - 1) ) (n - 6) 31638939 n ((n - 1) ) (n - 6) - -------------------------------- + --------------------------------- 4 n 3 10 4 n 3 10 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 12 n 2 n 11 n 2 n 129526731 n ((n - 1) ) (n - 6) 121717944 n ((n - 1) ) (n - 6) + ---------------------------------- - ---------------------------------- 4 n 3 10 4 n 3 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n 2 n 15 n 2 n 176841699 n ((n - 1) ) (n - 6) 123913011 n ((n - 1) ) (n - 6) + ---------------------------------- - ---------------------------------- 4 n 3 10 4 n 3 10 4 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 10 n 2 n 13 n 2 n 67152240 n ((n - 1) ) (n - 6) 181321773 n ((n - 1) ) (n - 6) + --------------------------------- - ---------------------------------- 4 n 3 10 4 n 3 10 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 9 n 2 n 12 n 11 n 16329600 n ((n - 1) ) (n - 6) 3 n (n - 4) 99 n (n - 4) - -------------------------------- + -------------- - --------------- 4 n 3 10 n 8 n 8 (n - 1) (n ) (n - 6) 4 n (n - 4) 4 n (n - 4) 10 n 9 n 8 n 351 n (n - 4) 5607 n (n - 4) 55503 n (n - 4) + ---------------- - ---------------- + ----------------- n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 7 n 6 n 5 n 176211 n (n - 4) 179013 n (n - 4) 111879 n (n - 4) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 4 n (n - 4) 2 n (n - 4) n (n - 4) 4 n 3 n 11 n 77706 n (n - 4) 22680 n (n - 4) 21 n (n - 5) + ----------------- - ----------------- + --------------- n 8 n 8 n 6 n (n - 4) n (n - 4) 2 n (n - 5) 10 n 9 n 8 n 252 n (n - 5) 2583 n (n - 5) 14742 n (n - 5) - ---------------- + ---------------- - ----------------- n 6 n 6 n 6 n (n - 5) n (n - 5) n (n - 5) 7 n 6 n 5 n 102249 n (n - 5) 109998 n (n - 5) 142842 n (n - 5) + ------------------ - ------------------ + ------------------ n 6 n 6 n 6 2 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 8 n 7 n 101808 n (n - 5) 30240 n (n - 5) 3 n (n - 4) 33 n (n - 4) - ------------------ + ----------------- + ------------- - -------------- n 6 n 6 n 4 n 4 n (n - 5) n (n - 5) n (n - 4) n (n - 4) 6 n 5 n 4 n 3 n 141 n (n - 4) 291 n (n - 4) 288 n (n - 4) 108 n (n - 4) + --------------- - --------------- + --------------- - --------------- n 4 n 4 n 4 n 4 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 20 n 4 n 19 n 4 n 4 n ((n - 1) ) (n - 2) 44 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 188 n ((n - 1) ) (n - 2) 388 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 384 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 5 4 10 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 414 n ((n - 1) ) (n - 3) 1146 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1740 n ((n - 1) ) (n - 3) 1368 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 18 n 3 n 432 n ((n - 1) ) (n - 3) 6 n ((n - 1) ) (n - 3) - ---------------------------- - -------------------------- 8 n 4 4 8 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 2 n 78 n ((n - 1) ) (n - 3) 4 n ((n - 1) ) (n - 4) + --------------------------- + -------------------------- 8 n 4 4 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 64 n ((n - 1) ) (n - 4) 432 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 1592 n ((n - 1) ) (n - 4) 3452 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 4392 n ((n - 1) ) (n - 4) 3024 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 14 n n 864 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) - --------------------------- - ----------------------- 6 n 3 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 13 n n 24 n 3 n 20 n (n - 1) (n - 5) n ((n - 1) ) (n - 5) + ------------------------ - -------------------------- 4 n 2 4 12 n 4 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 23 n 3 n 22 n 3 n 15 n ((n - 1) ) (n - 5) 409 n ((n - 1) ) (n - 5) + --------------------------- - ---------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 21 n 3 n 20 n 3 n 1675 n ((n - 1) ) (n - 5) 18355 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 19 n 3 n 15 n 16 n 35425 n ((n - 1) ) (n - 5) 5775 n (n - 7) 195 n (n - 7) + ------------------------------ + ----------------- - ---------------- 12 n 4 4 n 10 n 10 2 (n - 1) (n ) (n - 5) 8 n (n - 7) 8 n (n - 7) 14 n 12 n 13 n 103215 n (n - 7) 10655505 n (n - 7) 1242801 n (n - 7) - ------------------- - --------------------- + -------------------- n 10 n 10 n 10 8 n (n - 7) 8 n (n - 7) 8 n (n - 7) 11 n 10 n 6 n 67017525 n (n - 7) 313746645 n (n - 7) 898878330 n (n - 7) + --------------------- - ---------------------- - --------------------- n 10 n 10 n 10 8 n (n - 7) 8 n (n - 7) n (n - 7) 5 n 8 n 9 n 797459904 n (n - 7) 355923435 n (n - 7) 137145183 n (n - 7) + --------------------- - --------------------- + --------------------- n 10 n 10 n 10 n (n - 7) n (n - 7) n (n - 7) 4 n 17 n 7 n 419243040 n (n - 7) 3 n (n - 7) 673492050 n (n - 7) - --------------------- + -------------- + --------------------- n 10 n 10 n 10 n (n - 7) 8 n (n - 7) n (n - 7) 3 n 17 n n 97977600 n (n - 7) 3003 n (n - 1) (n - 6) + -------------------- - -------------------------- n 10 4 n 2 8 n (n - 7) 2 (n - 1) (n ) (n - 6) 16 n n 15 n n 38361 n (n - 1) (n - 6) 327789 n (n - 1) (n - 6) + --------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 14 n n 13 n n 1977543 n (n - 1) (n - 6) 8661129 n (n - 1) (n - 6) + ----------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 12 n n 11 n n 27864003 n (n - 1) (n - 6) 32896374 n (n - 1) (n - 6) + ------------------------------ - ------------------------------ 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 9 n n 56248608 n (n - 1) (n - 6) 67609584 n (n - 1) (n - 6) + ------------------------------ - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 7 n n 54004968 n (n - 1) (n - 6) 25634880 n (n - 1) (n - 6) + ----------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 6 n n 19 n n 5443200 n (n - 1) (n - 6) 3 n (n - 1) (n - 6) + ---------------------------- - ------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 18 n n 22 n 5 n 141 n (n - 1) (n - 6) 1194 n ((n - 1) ) (n - 2) + ------------------------- + ----------------------------- 4 n 2 8 14 n 6 4 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 2589 n ((n - 1) ) (n - 2) 3294 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 6 4 14 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 2268 n ((n - 1) ) (n - 2) 648 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 14 n 6 4 14 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 14931 n ((n - 1) ) (n - 3) 12708 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 5 4 12 n 5 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 13284 n ((n - 1) ) (n - 3) 7776 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 23 n 4 n 1944 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 81 n ((n - 1) ) (n - 3) 630 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 12 n 5 4 12 n 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 21 n 3 n 2763 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------- 12 n 5 4 10 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 63 n ((n - 1) ) (n - 4) 582 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 10 n n 3102 n ((n - 1) ) (n - 4) 856782 n (n - 1) (n - 5) + ----------------------------- - ---------------------------- 10 n 4 4 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 9 n n 8 n n 1265148 n (n - 1) (n - 5) 1196856 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 653184 n (n - 1) (n - 5) 155520 n (n - 1) (n - 5) + --------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 5 n 6 n 5 n 4 81 n ((n - 1) ) (n - 2) n 3 (n - 2) n 11 (n - 2) n + ------------------ + ------------- - ------------- + -------------- 18 n 5 4 n 4 n 4 n (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 3 15 n 14 n 13 n 3 (n - 2) n n (n - 5) 27 n (n - 5) 1301 n (n - 5) - ------------- + --------------- - --------------- + ----------------- 4 n n 10 n 10 n 10 (n - 2) n 16 n (n - 5) 8 n (n - 5) 16 n (n - 5) 12 n 11 n 10 n 9237 n (n - 5) 172023 n (n - 5) 552681 n (n - 5) - ----------------- + ------------------- - ------------------- n 10 n 10 n 10 8 n (n - 5) 16 n (n - 5) 8 n (n - 5) 9 n 8 n 7 n 5019503 n (n - 5) 8103411 n (n - 5) 9215089 n (n - 5) + ------------------- - ------------------- + ------------------- n 10 n 10 n 10 16 n (n - 5) 8 n (n - 5) 4 n (n - 5) 6 n 5 n 4 n 7182573 n (n - 5) 3631356 n (n - 5) 2129544 n (n - 5) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 2 n (n - 5) n (n - 5) n (n - 5) 3 n 8 n n 544320 n (n - 5) 2030 n (n - 1) (n - 3) + ------------------ - ------------------------- n 10 4 n 2 4 n (n - 5) (n - 1) (n ) (n - 3) 7 n n 6 n n 1596 n (n - 1) (n - 3) 504 n (n - 1) (n - 3) + ------------------------- - ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 7 n (n - 1) (n - 3) 91 n (n - 1) (n - 3) - ----------------------- + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 7 n (n - 1) (n - 3) 119 n (n - 1) (n - 3) - ----------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 805 n (n - 1) (n - 3) 2765 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 5068 n (n - 1) (n - 3) 4676 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n 2 n 1680 n (n - 1) (n - 3) 4 n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 2 n 2 6 6 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 44 n ((n - 1) ) (n - 2) 188 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 388 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 4 6 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 144 n ((n - 1) ) (n - 2) 483 n (n - 1) (n - 3) - --------------------------- - ------------------------- 6 n 3 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 9 n n 20 n 2 n 1337 n (n - 1) (n - 3) 1001 n ((n - 1) ) (n - 6) + ------------------------- + ----------------------------- 4 n 2 4 6 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 6) 19 n 2 n 18 n 2 n 12787 n ((n - 1) ) (n - 6) 109263 n ((n - 1) ) (n - 6) - ------------------------------ + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n 2 n 16 n 2 n 659181 n ((n - 1) ) (n - 6) 2887043 n ((n - 1) ) (n - 6) - ------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 15 n 2 n 14 n 2 n 9288001 n ((n - 1) ) (n - 6) 21930916 n ((n - 1) ) (n - 6) - -------------------------------- + --------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n 2 n 12 n 2 n 37499072 n ((n - 1) ) (n - 6) 45073056 n ((n - 1) ) (n - 6) - --------------------------------- + --------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n 2 n 10 n 2 n 36003312 n ((n - 1) ) (n - 6) 17089920 n ((n - 1) ) (n - 6) - --------------------------------- + --------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n 2 n 22 n 2 n 3628800 n ((n - 1) ) (n - 6) n ((n - 1) ) (n - 6) - ------------------------------- + ------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 21 n 2 n 12 n n 47 n ((n - 1) ) (n - 6) 172 n (n - 1) (n - 5) - --------------------------- - ------------------------- 6 n 3 8 4 n 2 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 5) 11 n n 10 n n 830 n (n - 1) (n - 5) 2455 n (n - 1) (n - 5) + ------------------------- - -------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 4550 n (n - 1) (n - 5) 5148 n (n - 1) (n - 5) + ------------------------- - ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 3240 n (n - 1) (n - 5) 864 n (n - 1) (n - 5) + ------------------------- - ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 4 n 16 n 4 n 1575 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 8 n 5 6 8 n 5 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 105 n ((n - 1) ) (n - 2) 595 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 5 6 8 n 5 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 88461 n ((n - 1) ) (n - 5) 190107 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 3 n 17 n 3 n 1174839 n ((n - 1) ) (n - 5) 1314048 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 3 n 15 n 3 n 2110548 n ((n - 1) ) (n - 5) 2371392 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 1767096 n ((n - 1) ) (n - 5) 782784 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 3 n 21 n 2 n 155520 n ((n - 1) ) (n - 5) 9 n ((n - 1) ) (n - 5) - ------------------------------- + -------------------------- 10 n 4 6 8 n 3 6 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 20 n 2 n 17 n 2 n 153 n ((n - 1) ) (n - 5) 265383 n ((n - 1) ) (n - 5) - ---------------------------- + ------------------------------- 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 570321 n ((n - 1) ) (n - 5) 3524517 n ((n - 1) ) (n - 5) - ------------------------------- + -------------------------------- 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 1971072 n ((n - 1) ) (n - 5) 3165822 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 3557088 n ((n - 1) ) (n - 5) 2650644 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 1174176 n ((n - 1) ) (n - 5) 233280 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 23 n 3 n 26 n 4 n 3 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - -------------------------- + ------------------------ 8 n 4 8 14 n 5 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 4 n 24 n 4 n 26 n ((n - 1) ) (n - 4) 305 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 4 n 22 n 4 n 2130 n ((n - 1) ) (n - 4) 9835 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 4 n 20 n 4 n 31510 n ((n - 1) ) (n - 4) 71435 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 114510 n ((n - 1) ) (n - 4) 127080 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 92880 n ((n - 1) ) (n - 4) 40176 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 18 n 6 7776 n ((n - 1) ) (n - 4) 36 n ((n - 1) ) - ----------------------------- - ------------------ 14 n 5 4 16 n 6 (n - 1) (n ) (n - 4) (n - 1) (n ) 7 n n 6 n n 4536 n (n - 1) (n - 4) 1296 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 21 n ((n - 1) ) (n - 3) 357 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 2415 n ((n - 1) ) (n - 3) 8295 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 7602 n ((n - 1) ) (n - 3) 7014 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 4 n 3 6 4 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n n 2520 n ((n - 1) ) (n - 3) 1283 n (n - 1) (n - 7) + ---------------------------- - -------------------------- 4 n 3 6 4 n 2 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 7) 17 n n 16 n n 18793 n (n - 1) (n - 7) 185985 n (n - 1) (n - 7) + --------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 15 n n 14 n n 1314759 n (n - 1) (n - 7) 6842129 n (n - 1) (n - 7) + ----------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 13 n n 12 n n 26610259 n (n - 1) (n - 7) 38829461 n (n - 1) (n - 7) + ------------------------------ - ------------------------------ 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 7) 2 (n - 1) (n ) (n - 7) 11 n n 10 n n 42271142 n (n - 1) (n - 7) 67516872 n (n - 1) (n - 7) + ------------------------------ - ------------------------------ 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 9 n n 13 n n 76610412 n (n - 1) (n - 7) 21 n (n - 1) (n - 4) + ----------------------------- - ------------------------ 4 n 2 8 2 n 2 6 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 11558088 n ((n - 1) ) (n - 5) 9819144 n ((n - 1) ) (n - 5) + --------------------------------- - -------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 4909248 n ((n - 1) ) (n - 5) 1088640 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 8 n 4 8 8 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 4 n 23 n 4 n 639 n ((n - 1) ) (n - 4) 6276 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 39999 n ((n - 1) ) (n - 4) 173670 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 524033 n ((n - 1) ) (n - 4) 1098304 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 1565520 n ((n - 1) ) (n - 4) 1443312 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 772848 n ((n - 1) ) (n - 4) 181440 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 3 n ((n - 1) ) (n - 5) 63 n ((n - 1) ) (n - 5) - -------------------------- + --------------------------- 8 n 4 8 8 n 4 8 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 3 n 21 n 3 n 2373 n ((n - 1) ) (n - 5) 13248 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------ 8 n 4 8 8 n 4 8 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n 3 n 19 n 3 n 195309 n ((n - 1) ) (n - 5) 500499 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 8 n 4 8 8 n 4 8 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 3 n 17 n 3 n 3656139 n ((n - 1) ) (n - 5) 4791654 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 8 n 4 8 8 n 4 8 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 3 n 12 n n 8938104 n ((n - 1) ) (n - 5) 420 n (n - 1) (n - 4) - -------------------------------- + ------------------------- 8 n 4 8 2 n 2 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 11 n n 10 n n 3486 n (n - 1) (n - 4) 15540 n (n - 1) (n - 4) - -------------------------- + --------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 40089 n (n - 1) (n - 4) 59640 n (n - 1) (n - 4) - -------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 47124 n (n - 1) (n - 4) 15120 n (n - 1) (n - 4) - -------------------------- + -------------------------- 2 n 2 6 2 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 58277448 n (n - 1) (n - 7) 26542080 n (n - 1) (n - 7) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 6 n n 26 n 4 n 5443200 n (n - 1) (n - 7) n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 4 n 2 8 8 n 5 10 (n - 1) (n ) (n - 7) 16 (n - 1) (n ) (n - 4) 25 n 4 n 24 n 4 n 25 n ((n - 1) ) (n - 4) 1101 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 8 n 5 10 8 n 5 10 8 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 23 n 4 n 22 n 4 n 7035 n ((n - 1) ) (n - 4) 115743 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 8 n 5 10 8 n 5 10 8 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 21 n 4 n 20 n 4 n 321195 n ((n - 1) ) (n - 4) 2449943 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 8 n 5 10 8 n 5 10 8 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 3203525 n ((n - 1) ) (n - 4) 2808039 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 5 10 8 n 5 10 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 1566495 n ((n - 1) ) (n - 4) 498366 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 8 n 5 10 8 n 5 10 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 24 n 3 n 136080 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 5) - ------------------------------- - -------------------------- 8 n 5 10 6 n 4 10 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 23 n 3 n 22 n 3 n 27 n ((n - 1) ) (n - 5) 1301 n ((n - 1) ) (n - 5) + --------------------------- - ----------------------------- 6 n 4 10 6 n 4 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 21 n 3 n 20 n 3 n 9237 n ((n - 1) ) (n - 5) 172023 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------- 6 n 4 10 6 n 4 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 19 n 3 n 18 n 3 n 552681 n ((n - 1) ) (n - 5) 5019503 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 6 n 4 10 6 n 4 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n 8103411 n ((n - 1) ) (n - 5) 9215089 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 6 n 4 10 6 n 4 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 3 n 14 n 3 n 14365146 n ((n - 1) ) (n - 5) 14525424 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 6 n 4 10 6 n 4 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 8518176 n ((n - 1) ) (n - 5) 2177280 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 6 n 4 10 6 n 4 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 32 n 8 31 n 8 30 n 8 7 n ((n - 1) ) 35 n ((n - 1) ) 609 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 24 n 8 24 n 8 24 n 8 16 (n - 1) (n ) 4 (n - 1) (n ) 8 (n - 1) (n ) 29 n 8 28 n 8 27 n 8 1505 n ((n - 1) ) 18487 n ((n - 1) ) 4515 n ((n - 1) ) + -------------------- - --------------------- + -------------------- 24 n 8 24 n 8 24 n 8 4 (n - 1) (n ) 16 (n - 1) (n ) 2 (n - 1) (n ) 26 n 8 25 n 8 28 n 5 n 5481 n ((n - 1) ) 1890 n ((n - 1) ) n ((n - 1) ) (n - 3) - -------------------- + -------------------- - -------------------------- 24 n 8 24 n 8 12 n 6 8 2 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) (n - 3) 27 n 5 n 26 n 5 n 35 n ((n - 1) ) (n - 3) 267 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 12 n 6 8 12 n 6 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 25 n 5 n 24 n 5 n 2337 n ((n - 1) ) (n - 3) 25977 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 12 n 6 8 12 n 6 8 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 23 n 5 n 22 n 5 n 95739 n ((n - 1) ) (n - 3) 59204 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 6 8 12 n 6 8 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 5 n 20 n 5 n 96964 n ((n - 1) ) (n - 3) 100488 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 12 n 6 8 12 n 6 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 59364 n ((n - 1) ) (n - 3) 15120 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 6 8 12 n 6 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 4) 38 n ((n - 1) ) (n - 4) + ------------------------ - --------------------------- 10 n 5 8 10 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 177 n (n - 1) (n - 6) 3 n (n - 1) (n - 6) + -------------------------- - -------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 17 n n 15 n n 4713 n (n - 1) (n - 6) 793179 n (n - 1) (n - 6) - -------------------------- - ---------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 16 n n 14 n n 74937 n (n - 1) (n - 6) 5896431 n (n - 1) (n - 6) + --------------------------- + ----------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 13 n n 9 n n 31638939 n (n - 1) (n - 6) 259053462 n (n - 1) (n - 6) - ------------------------------ - ------------------------------ 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 11 n n 243435888 n (n - 1) (n - 6) 176841699 n (n - 1) (n - 6) + ------------------------------ - ------------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 12 n n 7 n n 123913011 n (n - 1) (n - 6) 134304480 n (n - 1) (n - 6) + ------------------------------- - ------------------------------ 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 181321773 n (n - 1) (n - 6) 32659200 n (n - 1) (n - 6) + ------------------------------- + ----------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 26 n 6 25 n 6 24 n 6 n ((n - 1) ) 5 n ((n - 1) ) 87 n ((n - 1) ) - ----------------- + ----------------- - ------------------ 20 n 6 20 n 6 20 n 6 4 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 215 n ((n - 1) ) 2641 n ((n - 1) ) 1290 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 20 n 6 20 n 6 20 n 6 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 20 n 6 19 n 6 1566 n ((n - 1) ) 1080 n ((n - 1) ) - -------------------- + -------------------- 20 n 6 20 n 6 (n - 1) (n ) (n - 1) (n ) 11 n 2 n 10 n 2 n 2404566 n ((n - 1) ) (n - 6) 1017360 n ((n - 1) ) (n - 6) - -------------------------------- + -------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n 2 n 16 n 2 n 822519 n ((n - 1) ) (n - 6) 3075909 n ((n - 1) ) (n - 6) - ------------------------------- + -------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 9 n 2 n 18 n 2 n 194400 n ((n - 1) ) (n - 6) 160641 n ((n - 1) ) (n - 6) - ------------------------------ + ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 15 n 2 n 8 n 8502291 n ((n - 1) ) (n - 6) 83223 n (n - 6) - -------------------------------- + ----------------- 8 n 3 6 n 6 8 (n - 1) (n ) (n - 6) 4 n (n - 6) 7 n 6 n 5 n 243747 n (n - 6) 115472 n (n - 6) 136003 n (n - 6) - ------------------ + ------------------ - ------------------ n 6 n 6 n 6 4 n (n - 6) n (n - 6) n (n - 6) 4 n 11 n 10 n 89880 n (n - 6) 203 n (n - 6) 1281 n (n - 6) + ----------------- - ---------------- + ----------------- n 6 n 6 n 6 n (n - 6) 4 n (n - 6) 2 n (n - 6) 3 n 12 n 9 n 22 n 6 25200 n (n - 6) 7 n (n - 6) 9219 n (n - 6) n ((n - 1) ) - ----------------- + -------------- - ---------------- - --------------- n 6 n 6 n 6 16 n 6 n (n - 6) 4 n (n - 6) 2 n (n - 6) (n - 1) (n ) 21 n 6 20 n 6 19 n 6 10 n ((n - 1) ) 37 n ((n - 1) ) 60 n ((n - 1) ) + ------------------ - ------------------ + ------------------ 16 n 6 16 n 6 16 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 15 n n 14 n n 3 n (n - 1) (n - 4) 99 n (n - 1) (n - 4) - ----------------------- + ------------------------ 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 9 n 8 n 1404 n (n - 1) (n - 4) 7 n (n - 3) 119 n (n - 3) - -------------------------- + ------------- - --------------- 2 n 2 8 n 6 n 6 (n - 1) (n ) (n - 4) 4 n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 4 n 805 n (n - 3) 2765 n (n - 3) 1267 n (n - 3) 1169 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 4 n (n - 3) 4 n (n - 3) n (n - 3) n (n - 3) 3 n 21 n 2 n 420 n (n - 3) 3 n ((n - 1) ) (n - 5) + --------------- + -------------------------- n 6 6 n 3 8 n (n - 3) (n - 1) (n ) (n - 5) 20 n 2 n 18 n n 126 n ((n - 1) ) (n - 5) 1925 n (n - 1) (n - 7) - ---------------------------- - -------------------------- 6 n 3 8 2 n 2 10 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 7) 19 n n 17 n n 65 n (n - 1) (n - 7) 34405 n (n - 1) (n - 7) + -------------------------- + --------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 15 n n 16 n n 3551835 n (n - 1) (n - 7) 414267 n (n - 1) (n - 7) + ----------------------------- - ---------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 14 n n 13 n n 22339175 n (n - 1) (n - 7) 104582215 n (n - 1) (n - 7) - ------------------------------ + ------------------------------- 2 n 2 10 2 n 2 10 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 9 n n 8 n n 599252220 n (n - 1) (n - 7) 531639936 n (n - 1) (n - 7) + ------------------------------ - ------------------------------ 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 11 n n 12 n n 237282290 n (n - 1) (n - 7) 91430122 n (n - 1) (n - 7) + ------------------------------- - ------------------------------ 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 7 n n 20 n n 279495360 n (n - 1) (n - 7) n (n - 1) (n - 7) + ------------------------------ - -------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 10 n n 6 n n 448994700 n (n - 1) (n - 7) 65318400 n (n - 1) (n - 7) - ------------------------------- - ----------------------------- 2 n 2 10 2 n 2 10 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 25 n 5 n 24 n 5 n 291 n ((n - 1) ) (n - 2) 1551 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 18 n 6 2 18 n 6 2 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 4212 n ((n - 1) ) (n - 2) 972 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 18 n 6 2 18 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 10503 n ((n - 1) ) (n - 2) 23403 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 18 n 6 2 18 n 6 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 8568 n ((n - 1) ) (n - 2) 7938 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 18 n 6 2 18 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 18 n 6 2 18 n 6 2 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 177 n ((n - 1) ) (n - 3) 2133 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 16 n 5 2 16 n 5 2 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 4698 n ((n - 1) ) (n - 3) 972 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 16 n 5 2 16 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 16707 n ((n - 1) ) (n - 3) 44409 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 16 n 5 2 16 n 5 2 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 40539 n ((n - 1) ) (n - 3) 12537 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 16 n 5 2 16 n 5 2 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 11498988 n (n - 1) (n - 6) 11838456 n (n - 1) (n - 6) - ----------------------------- + ----------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 6 n n 7032960 n (n - 1) (n - 6) 1814400 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 16 n n 17 n n 51 n (n - 1) (n - 6) 3 n (n - 1) (n - 6) + ------------------------ - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 11 n n 10 n n 934269 n (n - 1) (n - 6) 924843 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 1253766 n (n - 1) (n - 6) 1106244 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 14 n n 570240 n (n - 1) (n - 6) 6957 n (n - 1) (n - 6) - --------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n n 6 n n 81765 n (n - 1) (n - 6) 129600 n (n - 1) (n - 6) - --------------------------- + --------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 19 n 2 n 18 n 2 n 6 n ((n - 1) ) (n - 5) 174 n ((n - 1) ) (n - 5) + -------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 2232 n ((n - 1) ) (n - 5) 16668 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 80190 n ((n - 1) ) (n - 5) 259470 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 571188 n ((n - 1) ) (n - 5) 843432 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 797904 n ((n - 1) ) (n - 5) 435456 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 20 n 3 n 103680 n ((n - 1) ) (n - 5) 225 n ((n - 1) ) (n - 4) + ------------------------------ + ---------------------------- 6 n 3 6 8 n 4 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 21 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 4) 2448 n ((n - 1) ) (n - 4) - -------------------------- - ----------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 15210 n ((n - 1) ) (n - 4) 59445 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 151425 n ((n - 1) ) (n - 4) 251082 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 260820 n ((n - 1) ) (n - 4) 153576 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 4 6 8 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 21 n 3 n 38880 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------- 8 n 4 6 12 n 4 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 21 n ((n - 1) ) (n - 2) 97 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 517 n ((n - 1) ) (n - 2) 3501 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 4 12 n 4 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) and in Maple notation -567*n^24*((n-1)^n)^8/(n-1)^24/(n^n)^8-6696*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^6*( n-3)^n/(n-3)^2+3132*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-3)^n/(n-3)^2-648*n^18* ((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-3)^n/(n-3)^2-13513/2*n^22*((n-1)^n)^5/(n-1)^18/ (n^n)^6*(n-3)^n/(n-3)^2+8358*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-3)^n/(n-3)^2+ 1/16*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^2-13/8*n^25*((n-1)^n)^4/(n -1)^16/(n^n)^5*(n-4)^n/(n-4)^2+305/16*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n /(n-4)^2-1065/8*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^2+9835/16*n^22* ((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^2-15755/8*n^21*((n-1)^n)^4/(n-1)^16/ (n^n)^5*(n-4)^n/(n-4)^2+15885/2*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4) ^2-5805*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^2+2511*n^16*((n-1)^n)^4 /(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^2-486*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n /(n-4)^2+71435/16*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^2-57255/8*n^ 19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^2+n^30*((n-1)^n)^6/(n-1)^18/(n^n) ^7*(n-2)^n/(n-2)^4-21*n^29*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^4+194*n^ 28*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^4-1034*n^27*((n-1)^n)^6/(n-1)^18/ (n^n)^7*(n-2)^n/(n-2)^4+3501*n^26*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^4-\ 7801*n^25*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^4+11424*n^24*((n-1)^n)^6/( n-1)^18/(n^n)^7*(n-2)^n/(n-2)^4-10584*n^23*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n /(n-2)^4+5616*n^22*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^4-1296*n^21*((n-1 )^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^4-40539*n^22*((n-1)^n)^5/(n-1)^16/(n^n)^6 *(n-3)^n/(n-3)^4+50148*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^4-40176* n^20*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^4+18792*n^19*((n-1)^n)^5/(n-1)^ 16/(n^n)^6*(n-3)^n/(n-3)^4-3888*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3) ^4-3/2*n^28*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^4+69/2*n^27*((n-1)^n)^5/ (n-1)^16/(n^n)^6*(n-3)^n/(n-3)^4-354*n^26*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/ (n-3)^4+2133*n^25*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^4-16707/2*n^24*((n -1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^4+44409/2*n^23*((n-1)^n)^5/(n-1)^16/(n^ n)^6*(n-3)^n/(n-3)^4+3*n^15*((n-1)^n)^5/(n-1)^12/(n^n)^5-2*n^9*(n-1)^n/(n-1)^2/ (n^n)^2*(n-2)^n/(n-2)^4+12*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4-22*n^7*( n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^4+12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/( n-2)^4+3*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4-24*n^12*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+69*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3 )^4-84*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^4+36*n^9*((n-1)^n)^2/(n-1 )^4/(n^n)^3*(n-3)^n/(n-3)^4-2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4+22*n ^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-94*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4 )^n/(n-4)^4+194*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-192*n^7*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-4)^n/(n-4)^4+72*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^4-2*n ^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+12*n^14*((n-1)^n)^3/(n-1)^6/(n^ n)^4*(n-2)^n/(n-2)^4-22*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4+12*n^ 12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^4-150183/2*n^19*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-4)^n/(n-4)^6+269955*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-\ 4)^6-1364877/2*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+1212390*n^16*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6-1482084*n^15*((n-1)^n)^3/(n-1)^10/( n^n)^4*(n-4)^n/(n-4)^6+1185840*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^ 6-557928*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+116640*n^12*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+4707/4*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -5)^n/(n-5)^6-10827*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+89865/4*n^ 21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6-270315/4*n^20*((n-1)^n)^4/(n-1) ^12/(n^n)^5*(n-3)^n/(n-3)^6+138483*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n -3)^6-190746*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6+168804*n^17*((n-\ 1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6-86508*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^ 5*(n-3)^n/(n-3)^6+19440*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6+9/4*n ^25*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6-243/4*n^24*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-3)^n/(n-3)^6+1449/2*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-\ 3)^6-10053/2*n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^6-3627/2*n^21*((n-\ 1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+14400*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^ 4*(n-4)^n/(n-4)^6-9/2*n^23*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6+135*n^ 22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^6-69*n^24*((n-1)^n)^4/(n-1)^14/(n ^n)^5*(n-3)^n/(n-3)^4-915/2*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+ 3195*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4-29505/2*n^19*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+47265*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4) ^n/(n-4)^4-214305/2*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+171765*n^ 16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4-190620*n^15*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^4+139320*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-\ 4)^4-60264*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+11664*n^12*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4-3/2*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 4)^n/(n-4)^4+39*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^4+1/2*n^17*((n-\ 1)^n)^5/(n-1)^12/(n^n)^5-5/2*n^16*((n-1)^n)^5/(n-1)^12/(n^n)^5+1/2/(n^n)*n^9*(n -5)^n/(n-5)^4-15/2/(n^n)*n^8*(n-5)^n/(n-5)^4+91/2/(n^n)*n^7*(n-5)^n/(n-5)^4-285 /2/(n^n)*n^6*(n-5)^n/(n-5)^4+242/(n^n)*n^5*(n-5)^n/(n-5)^4-210/(n^n)*n^4*(n-5)^ n/(n-5)^4+72/(n^n)*n^3*(n-5)^n/(n-5)^4-20208096/(n^n)*n^6*(n-7)^n/(n-7)^8+ 19515924/(n^n)*n^5*(n-7)^n/(n-7)^8-11003040/(n^n)*n^4*(n-7)^n/(n-7)^8+2721600/( n^n)*n^3*(n-7)^n/(n-7)^8+3/4/(n^n)*n^15*(n-7)^n/(n-7)^8-36/(n^n)*n^14*(n-7)^n/( n-7)^8+3111/4/(n^n)*n^13*(n-7)^n/(n-7)^8-9990/(n^n)*n^12*(n-7)^n/(n-7)^8+339489 /4/(n^n)*n^11*(n-7)^n/(n-7)^8-501768/(n^n)*n^10*(n-7)^n/(n-7)^8+8454093/4/(n^n) *n^9*(n-7)^n/(n-7)^8-6379470/(n^n)*n^8*(n-7)^n/(n-7)^8+13665702/(n^n)*n^7*(n-7) ^n/(n-7)^8+3/4*n^27*((n-1)^n)^7/(n-1)^20/(n^n)^7-45/4*n^26*((n-1)^n)^7/(n-1)^20 /(n^n)^7+279/4*n^25*((n-1)^n)^7/(n-1)^20/(n^n)^7-915/4*n^24*((n-1)^n)^7/(n-1)^ 20/(n^n)^7+837/2*n^23*((n-1)^n)^7/(n-1)^20/(n^n)^7-405*n^22*((n-1)^n)^7/(n-1)^ 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n/(n-5)^8-11455668*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+5727456*n^7*(n-1 )^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-1270080*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n /(n-5)^8-7/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+147/2*n^17*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^8-1/4*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10 +27/2*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-1301/4*n^16*(n-1)^n/(n-1)^2 /(n^n)^2*(n-5)^n/(n-5)^10+9237/2*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-\ 172023/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+552681/2*n^13*(n-1)^n/(n -1)^2/(n^n)^2*(n-5)^n/(n-5)^10-5019503/4*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/( n-5)^10+8103411/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-9215089*n^10*(n -1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+14365146*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 5)^n/(n-5)^10-14525424*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10+8518176*n^7 *(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^10-2177280*n^6*(n-1)^n/(n-1)^2/(n^n)^2*( n-5)^n/(n-5)^10+3/4*n^23*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8-45/2*n^22* ((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8+567/2*n^21*((n-1)^n)^4/(n-1)^8/(n^n )^5*(n-3)^n/(n-3)^8-1953*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8+32067 /4*n^19*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8-40005/2*n^18*((n-1)^n)^4/(n -1)^8/(n^n)^5*(n-3)^n/(n-3)^8+29499*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n -3)^8-23382*n^16*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8+7560*n^15*((n-1)^n )^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^8+679/8*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-\ 2)^n/(n-2)^2-3619/8*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+2457*n^16 *((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-567*n^15*((n-1)^n)^4/(n-1)^16/(n^ n)^5*(n-2)^n/(n-2)^2+24507/16*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2 -54607/16*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2+4998*n^18*((n-1)^n) ^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^2-9261/2*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n 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n)^4*(n-3)^n/(n-3)^6-71316*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6+ 46872*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6-12960*n^12*((n-1)^n)^3/( n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6-9*n^20*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3) ^6+198*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^6+18*n^18*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-4)^n/(n-4)^6-450*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4) ^6+4896*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-30420*n^15*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6+118890*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^ n/(n-4)^6-302850*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6+502164*n^12*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-521640*n^11*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-4)^n/(n-4)^6+307152*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-\ 77760*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^6-1260*n^18*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-3)^n/(n-3)^4+5526*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n 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n^n)^2*(n-2)^n/(n-2)^4+36*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+21/4/(n^n )*n^13*(n-5)^n/(n-5)^8-777/4/(n^n)*n^12*(n-5)^n/(n-5)^8+3150/(n^n)*n^11*(n-5)^n /(n-5)^8-58905/2/(n^n)*n^10*(n-5)^n/(n-5)^8+702513/4/(n^n)*n^9*(n-5)^n/(n-5)^8-\ 2787561/4/(n^n)*n^8*(n-5)^n/(n-5)^8+3720045/2/(n^n)*n^7*(n-5)^n/(n-5)^8-3289335 /(n^n)*n^6*(n-5)^n/(n-5)^8+3676554/(n^n)*n^5*(n-5)^n/(n-5)^8-2334528/(n^n)*n^4* (n-5)^n/(n-5)^8+635040/(n^n)*n^3*(n-5)^n/(n-5)^8-9/2/(n^n)*n^17*(n-8)^n/(n-8)^ 10+1/16/(n^n)*n^18*(n-8)^n/(n-8)^10-5985/2/(n^n)*n^15*(n-8)^n/(n-8)^10-806463/2 /(n^n)*n^13*(n-8)^n/(n-8)^10+327551/8/(n^n)*n^14*(n-8)^n/(n-8)^10+595/4/(n^n)*n ^16*(n-8)^n/(n-8)^10+1097795993/16/(n^n)*n^10*(n-8)^n/(n-8)^10+11800505/4/(n^n) *n^12*(n-8)^n/(n-8)^10+1181601369/(n^n)*n^6*(n-8)^n/(n-8)^10-1000243728/(n^n)*n ^5*(n-8)^n/(n-8)^10-32619555/2/(n^n)*n^11*(n-8)^n/(n-8)^10+1054985365/2/(n^n)*n ^8*(n-8)^n/(n-8)^10-219323286/(n^n)*n^9*(n-8)^n/(n-8)^10+505446480/(n^n)*n^4*(n 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21*((n-1)^n)^6/(n-1)^16/(n^n)^7*(n-2)^n/(n-2)^6+19815/8*n^26*((n-1)^n)^6/(n-1)^ 16/(n^n)^7*(n-2)^n/(n-2)^6+81/2*n^27*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3)^n/(n-3) ^6-3/2*n^28*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3)^n/(n-3)^6+3351*n^25*((n-1)^n)^5/ (n-1)^14/(n^n)^6*(n-3)^n/(n-3)^6-483*n^26*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3)^n/ (n-3)^6-29955/2*n^24*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3)^n/(n-3)^6+90105/2*n^23* ((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3)^n/(n-3)^6-92322*n^22*((n-1)^n)^5/(n-1)^14/(n ^n)^6*(n-3)^n/(n-3)^6+127164*n^21*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3)^n/(n-3)^6-\ 112536*n^20*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3)^n/(n-3)^6+57672*n^19*((n-1)^n)^5 /(n-1)^14/(n^n)^6*(n-3)^n/(n-3)^6-12960*n^18*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-3) ^n/(n-3)^6+3*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-18*n^11*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4+33*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/ (n-2)^4-18*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^4-135/2*n^25*((n-1)^n) ^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6+9/4*n^26*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4) ^n/(n-4)^6-7200*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6+3627/4*n^24*( (n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6+150183/4*n^22*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-4)^n/(n-4)^6-269955/2*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4 )^6+1364877/4*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6-606195*n^19*((n -1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6+741042*n^18*((n-1)^n)^4/(n-1)^12/(n^n )^5*(n-4)^n/(n-4)^6-592920*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6+ 278964*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6-6*n^17*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-2)^n/(n-2)^4+66*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^ 4-282*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4+582*n^14*((n-1)^n)^3/(n-\ 1)^8/(n^n)^4*(n-2)^n/(n-2)^4-576*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2) ^4+216*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-2)^n/(n-2)^4-1/4*n^20*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-7)^n/(n-7)^8+53/4*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8-6*n ^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+96*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^4-648*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+2388*n^10*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4-5178*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4) ^4+6588*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+7/2/(n^n)*n^7*(n-3)^n/(n-3) ^4-28/(n^n)*n^6*(n-3)^n/(n-3)^4+161/2/(n^n)*n^5*(n-3)^n/(n-3)^4-98/(n^n)*n^4*(n -3)^n/(n-3)^4+42/(n^n)*n^3*(n-3)^n/(n-3)^4-39948*n^12*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-3)^n/(n-3)^6+47544*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-31248 *n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+8640*n^9*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-3)^n/(n-3)^6+6*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-132* n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-21/2*n^15*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^6+525/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-2856*n^ 13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+17745*n^12*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^6-138705/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+353325/2*n ^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-292929*n^9*(n-1)^n/(n-1)^4/(n^n)^2* (n-4)^n/(n-4)^6+304290*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-179172*n^7*( n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+45360*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^6-58320*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^6-3/2*n^24*((n-\ 1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^6+51*n^23*((n-1)^n)^3/(n-1)^10/(n^n)^4*( n-5)^n/(n-5)^6-1569/2*n^22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^6+7218*n^ 21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^6+9/2*n^18*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-4)^n/(n-4)^8-297/2*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+ 2106*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-16821*n^15*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-4)^n/(n-4)^8+166509/2*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n 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(n^n)^4*(n-2)^n/(n-2)^4+3294*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-\ 2268*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+648*n^12*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-2)^n/(n-2)^4+34839/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/ (n-3)^4-14826*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+15498*n^11*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-9072*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -3)^n/(n-3)^4+2268*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+21/4*n^17*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-189/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-3)^n/(n-3)^4+735*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4-6447/2*n ^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^4+1236*n^15*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^6-6432*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+ 20334*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-10503*n^17*((n-1)^n)^3/( n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+23403*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n /(n-4)^4-34272*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+31752*n^14*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4-16848*n^13*((n-1)^n)^3/(n-1)^10/(n^n) ^4*(n-4)^n/(n-4)^4+3888*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+3/4*n ^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-75/4*n^18*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-5)^n/(n-5)^4+417/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-\ 2715/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-117/8*n^21*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-6)^n/(n-6)^6+3/8*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n -6)^6-22281/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^6+2079/8*n^20*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^6+2170197*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-6)^n/(n-6)^6-3231033*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^6+ 3406014*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^6-413/16/(n^n)*n^15*(n-6 )^n/(n-6)^10+7/16/(n^n)*n^16*(n-6)^n/(n-6)^10+10997/16/(n^n)*n^14*(n-6)^n/(n-6) ^10+1850751/16/(n^n)*n^12*(n-6)^n/(n-6)^10-174853/16/(n^n)*n^13*(n-6)^n/(n-6)^ 10-13758339/16/(n^n)*n^11*(n-6)^n/(n-6)^10+73824191/16/(n^n)*n^10*(n-6)^n/(n-6) ^10+302229039/2/(n^n)*n^6*(n-6)^n/(n-6)^10-142004268/(n^n)*n^5*(n-6)^n/(n-6)^10 +412630631/8/(n^n)*n^8*(n-6)^n/(n-6)^10-289130359/16/(n^n)*n^9*(n-6)^n/(n-6)^10 +78344280/(n^n)*n^4*(n-6)^n/(n-6)^10-423084137/4/(n^n)*n^7*(n-6)^n/(n-6)^10-\ 19051200/(n^n)*n^3*(n-6)^n/(n-6)^10+3/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^4-12*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+81*n^14*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2) ^n/(n-2)^4+2589/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-1647/2*n^11* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+567*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-2)^n/(n-2)^4+11214*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-55503*n^11 *(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+176211*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^8-358026*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+447516*n^8*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-310824*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^8+90720*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+49/4/(n^n)*n^10*(n-4 )^n/(n-4)^6-245/(n^n)*n^9*(n-4)^n/(n-4)^6+4067/2/(n^n)*n^8*(n-4)^n/(n-4)^6-9065 /(n^n)*n^7*(n-4)^n/(n-4)^6+93541/4/(n^n)*n^6*(n-4)^n/(n-4)^6-34790/(n^n)*n^5*(n -4)^n/(n-4)^6+27489/(n^n)*n^4*(n-4)^n/(n-4)^6-8820/(n^n)*n^3*(n-4)^n/(n-4)^6+ 22911/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-65415/4*n^14*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4+31971*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5) ^n/(n-5)^4-42210*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4+35964*n^11*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4-17820*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-5)^n/(n-5)^4+3888*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^4+30*n^24* ((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-3/2*n^25*((n-1)^n)^5/(n-1)^12/(n^n )^6*(n-2)^n/(n-2)^6+4260*n^20*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-3366 *n^19*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6+1110*n^22*((n-1)^n)^5/(n-1)^ 12/(n^n)^6*(n-2)^n/(n-2)^6-5727/2*n^21*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-\ 2)^6+1080*n^18*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-249*n^23*((n-1)^n)^ 5/(n-1)^12/(n^n)^6*(n-2)^n/(n-2)^6-132*n^22*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^ n/(n-3)^6+6*n^23*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6+1236*n^21*((n-1)^ n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6-6432*n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n -3)^n/(n-3)^6+20334*n^19*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6-39948*n^ 18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6+47544*n^17*((n-1)^n)^4/(n-1)^10 /(n^n)^5*(n-3)^n/(n-3)^6-31248*n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^ 6+8640*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-3)^n/(n-3)^6+3/8*n^21*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10-81/4*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/( n-5)^10+3903/8*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10-27711/4*n^18*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+516069/8*n^17*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-5)^n/(n-5)^10-1658043/4*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5 )^10+15058509/8*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10-24310233/4*n^ 14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+27645267/2*n^13*((n-1)^n)^2/(n-\ 1)^4/(n^n)^3*(n-5)^n/(n-5)^10-21547719*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n /(n-5)^10+21788136*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10-12777264*n ^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^10+3265920*n^9*((n-1)^n)^2/(n-1)^ 4/(n^n)^3*(n-5)^n/(n-5)^10-3*n^25*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4+ 48*n^24*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4-324*n^23*((n-1)^n)^5/(n-1) ^14/(n^n)^6*(n-2)^n/(n-2)^4+1/16*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^5-5/4*n^22*((n -1)^n)^5/(n-1)^18/(n^n)^5+87/8*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^5-215/4*n^20*((n -1)^n)^5/(n-1)^18/(n^n)^5+10044*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3) ^2+3/8*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-69/8*n^24*((n-1)^n)^4/ (n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-3/2*n^27*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/ (n-2)^4+63/2*n^26*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4-291*n^25*((n-1)^ n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+1551*n^24*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n -2)^n/(n-2)^4-10503/2*n^23*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+23403/2 *n^22*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4-17136*n^21*((n-1)^n)^5/(n-1) ^16/(n^n)^6*(n-2)^n/(n-2)^4+15876*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-\ 2)^4-8424*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+1944*n^18*((n-1)^n) ^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^4+81078*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 3)^n/(n-3)^4-100296*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+80352*n^ 17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4-37584*n^16*((n-1)^n)^4/(n-1)^14 /(n^n)^5*(n-3)^n/(n-3)^4+7776*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4 +708*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4-4266*n^22*((n-1)^n)^4/(n -1)^14/(n^n)^5*(n-3)^n/(n-3)^4+16707*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/ (n-3)^4-44409*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+3*n^25*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^4+2641/16*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^5-\ 645/2*n^18*((n-1)^n)^5/(n-1)^18/(n^n)^5+783/2*n^17*((n-1)^n)^5/(n-1)^18/(n^n)^5 -270*n^16*((n-1)^n)^5/(n-1)^18/(n^n)^5+3/8*n^29*((n-1)^n)^7/(n-1)^22/(n^n)^7-15 /2*n^28*((n-1)^n)^7/(n-1)^22/(n^n)^7+261/4*n^27*((n-1)^n)^7/(n-1)^22/(n^n)^7-\ 645/2*n^26*((n-1)^n)^7/(n-1)^22/(n^n)^7+7923/8*n^25*((n-1)^n)^7/(n-1)^22/(n^n)^ 7-1935*n^24*((n-1)^n)^7/(n-1)^22/(n^n)^7+2349*n^23*((n-1)^n)^7/(n-1)^22/(n^n)^7 -1620*n^22*((n-1)^n)^7/(n-1)^22/(n^n)^7-177/8*n^21*((n-1)^n)^2/(n-1)^4/(n^n)^3* (n-6)^n/(n-6)^10+3/8*n^22*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^10+4713/8*n ^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^10+793179/8*n^18*((n-1)^n)^2/(n-1 )^4/(n^n)^3*(n-6)^n/(n-6)^10-74937/8*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/( n-6)^10-5896431/8*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^10+31638939/8* n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^10+129526731*n^12*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-6)^n/(n-6)^10-121717944*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6) ^n/(n-6)^10+176841699/4*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^10-\ 123913011/8*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^10+67152240*n^10*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^10-181321773/2*n^13*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-6)^n/(n-6)^10-16329600*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6) ^10+3/4/(n^n)*n^12*(n-4)^n/(n-4)^8-99/4/(n^n)*n^11*(n-4)^n/(n-4)^8+351/(n^n)*n^ 10*(n-4)^n/(n-4)^8-5607/2/(n^n)*n^9*(n-4)^n/(n-4)^8+55503/4/(n^n)*n^8*(n-4)^n/( n-4)^8-176211/4/(n^n)*n^7*(n-4)^n/(n-4)^8+179013/2/(n^n)*n^6*(n-4)^n/(n-4)^8-\ 111879/(n^n)*n^5*(n-4)^n/(n-4)^8+77706/(n^n)*n^4*(n-4)^n/(n-4)^8-22680/(n^n)*n^ 3*(n-4)^n/(n-4)^8+21/2/(n^n)*n^11*(n-5)^n/(n-5)^6-252/(n^n)*n^10*(n-5)^n/(n-5)^ 6+2583/(n^n)*n^9*(n-5)^n/(n-5)^6-14742/(n^n)*n^8*(n-5)^n/(n-5)^6+102249/2/(n^n) *n^7*(n-5)^n/(n-5)^6-109998/(n^n)*n^6*(n-5)^n/(n-5)^6+142842/(n^n)*n^5*(n-5)^n/ (n-5)^6-101808/(n^n)*n^4*(n-5)^n/(n-5)^6+30240/(n^n)*n^3*(n-5)^n/(n-5)^6+3/(n^n )*n^8*(n-4)^n/(n-4)^4-33/(n^n)*n^7*(n-4)^n/(n-4)^4+141/(n^n)*n^6*(n-4)^n/(n-4)^ 4-291/(n^n)*n^5*(n-4)^n/(n-4)^4+288/(n^n)*n^4*(n-4)^n/(n-4)^4-108/(n^n)*n^3*(n-\ 4)^n/(n-4)^4+4*n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-44*n^19*((n-1) ^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4+188*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n -2)^n/(n-2)^4-388*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4+384*n^16*(( n-1)^n)^4/(n-1)^10/(n^n)^5*(n-2)^n/(n-2)^4-144*n^15*((n-1)^n)^4/(n-1)^10/(n^n)^ 5*(n-2)^n/(n-2)^4-414*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+1146*n^ 15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-1740*n^14*((n-1)^n)^3/(n-1)^8/(n ^n)^4*(n-3)^n/(n-3)^4+1368*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-432 *n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4-6*n^18*((n-1)^n)^3/(n-1)^8/(n ^n)^4*(n-3)^n/(n-3)^4+78*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-3)^n/(n-3)^4+4*n^ 16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-64*n^15*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-4)^n/(n-4)^4+432*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-1592*n ^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+3452*n^12*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^4-4392*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4+ 3024*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^4-864*n^9*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-4)^n/(n-4)^4-n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4+20*n^13 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^4-1/4*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-5)^n/(n-5)^4+15/2*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^4-409/4*n^ 22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^4+1675/2*n^21*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-5)^n/(n-5)^4-18355/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n -5)^4+35425/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^4+5775/8/(n^n)*n^ 15*(n-7)^n/(n-7)^10-195/8/(n^n)*n^16*(n-7)^n/(n-7)^10-103215/8/(n^n)*n^14*(n-7) ^n/(n-7)^10-10655505/8/(n^n)*n^12*(n-7)^n/(n-7)^10+1242801/8/(n^n)*n^13*(n-7)^n /(n-7)^10+67017525/8/(n^n)*n^11*(n-7)^n/(n-7)^10-313746645/8/(n^n)*n^10*(n-7)^n /(n-7)^10-898878330/(n^n)*n^6*(n-7)^n/(n-7)^10+797459904/(n^n)*n^5*(n-7)^n/(n-7 )^10-355923435/(n^n)*n^8*(n-7)^n/(n-7)^10+137145183/(n^n)*n^9*(n-7)^n/(n-7)^10-\ 419243040/(n^n)*n^4*(n-7)^n/(n-7)^10+3/8/(n^n)*n^17*(n-7)^n/(n-7)^10+673492050/ (n^n)*n^7*(n-7)^n/(n-7)^10+97977600/(n^n)*n^3*(n-7)^n/(n-7)^10-3003/2*n^17*(n-1 )^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+38361/2*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^ n/(n-6)^8-327789/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+1977543/2*n^14* (n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8-8661129/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2* (n-6)^n/(n-6)^8+27864003/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8-\ 32896374*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+56248608*n^10*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-6)^n/(n-6)^8-67609584*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6) ^8+54004968*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8-25634880*n^7*(n-1)^n/(n -1)^4/(n^n)^2*(n-6)^n/(n-6)^8+5443200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6) ^8-3/2*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^8+141/2*n^18*(n-1)^n/(n-1)^4/ (n^n)^2*(n-6)^n/(n-6)^8+1194*n^22*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4-\ 2589*n^21*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4+3294*n^20*((n-1)^n)^5/(n -1)^14/(n^n)^6*(n-2)^n/(n-2)^4-2268*n^19*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/( n-2)^4+648*n^18*((n-1)^n)^5/(n-1)^14/(n^n)^6*(n-2)^n/(n-2)^4+14931/2*n^19*((n-1 )^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4-12708*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5 *(n-3)^n/(n-3)^4+13284*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4-7776*n ^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4+1944*n^15*((n-1)^n)^4/(n-1)^12 /(n^n)^5*(n-3)^n/(n-3)^4+9/2*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4-\ 81*n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^4+630*n^21*((n-1)^n)^4/(n-1) ^12/(n^n)^5*(n-3)^n/(n-3)^4-2763*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3 )^4-3*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4+63*n^20*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-4)^n/(n-4)^4-582*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-\ 4)^4+3102*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^4-856782*n^10*(n-1)^n /(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+1265148*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^6-1196856*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^6+653184*n^7*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^6-155520*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 6+81*n^15*((n-1)^n)^5/(n-1)^18/(n^n)^5+1/2*(n-2)^n/(n-2)^4/(n^n)*n^6-3*(n-2)^n/ (n-2)^4/(n^n)*n^5+11/2*(n-2)^n/(n-2)^4/(n^n)*n^4-3*(n-2)^n/(n-2)^4/(n^n)*n^3+1/ 16/(n^n)*n^15*(n-5)^n/(n-5)^10-27/8/(n^n)*n^14*(n-5)^n/(n-5)^10+1301/16/(n^n)*n ^13*(n-5)^n/(n-5)^10-9237/8/(n^n)*n^12*(n-5)^n/(n-5)^10+172023/16/(n^n)*n^11*(n -5)^n/(n-5)^10-552681/8/(n^n)*n^10*(n-5)^n/(n-5)^10+5019503/16/(n^n)*n^9*(n-5)^ n/(n-5)^10-8103411/8/(n^n)*n^8*(n-5)^n/(n-5)^10+9215089/4/(n^n)*n^7*(n-5)^n/(n-\ 5)^10-7182573/2/(n^n)*n^6*(n-5)^n/(n-5)^10+3631356/(n^n)*n^5*(n-5)^n/(n-5)^10-\ 2129544/(n^n)*n^4*(n-5)^n/(n-5)^10+544320/(n^n)*n^3*(n-5)^n/(n-5)^10-2030*n^8*( n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+1596*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^4-504*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-7*n^12*(n-1)^n/(n-1)^4 /(n^n)^2*(n-3)^n/(n-3)^4+91*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4-7*n^12 *(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+119*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^6-805*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+2765*n^9*(n-1)^n/(n -1)^2/(n^n)^2*(n-3)^n/(n-3)^6-5068*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6+ 4676*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^6-1680*n^6*(n-1)^n/(n-1)^2/(n^n) ^2*(n-3)^n/(n-3)^6+4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-44*n^13*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+188*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-2)^n/(n-2)^4-388*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4+384*n^10* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^4-144*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-2)^n/(n-2)^4-483*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+1337*n^9*(n-1 )^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^4+1001*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6) ^n/(n-6)^8-12787*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^8+109263*n^18*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^8-659181*n^17*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-6)^n/(n-6)^8+2887043*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^8-\ 9288001*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^8+21930916*n^14*((n-1)^n 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18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^6-88461/2*n^20*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-5)^n/(n-5)^6+190107*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-\ 5)^6-1174839/2*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^6+1314048*n^17*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^6-2110548*n^16*((n-1)^n)^3/(n-1)^10/( n^n)^4*(n-5)^n/(n-5)^6+2371392*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^ 6-1767096*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^6+782784*n^13*((n-1)^ n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^6-155520*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4* (n-5)^n/(n-5)^6+9/4*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6-153/2*n^20 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+265383/4*n^17*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-5)^n/(n-5)^6-570321/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5) ^6+3524517/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6-1971072*n^14*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+3165822*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-5)^n/(n-5)^6-3557088*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+ 2650644*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6-1174176*n^10*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^6+233280*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5) ^n/(n-5)^6-3/2*n^23*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^8+n^26*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^4-26*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n /(n-4)^4+305*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^4-2130*n^23*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^4+9835*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*( n-4)^n/(n-4)^4-31510*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^4+71435*n^ 20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^4-114510*n^19*((n-1)^n)^4/(n-1)^ 14/(n^n)^5*(n-4)^n/(n-4)^4+127080*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-\ 4)^4-92880*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^4+40176*n^16*((n-1)^ n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^4-7776*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n -4)^n/(n-4)^4-36*n^18*((n-1)^n)^6/(n-1)^16/(n^n)^6-4536*n^7*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^4+1296*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^4+21/2*n^15 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-357/2*n^14*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-3)^n/(n-3)^6+2415/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-\ 8295/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6+7602*n^11*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-7014*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n -3)^6+2520*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^6-1283/4*n^18*(n-1)^n/ (n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8+18793/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n -7)^8-185985/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8+1314759/4*n^15*(n-1 )^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8-6842129/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-7 )^n/(n-7)^8+26610259/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8-38829461/2* n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8+42271142*n^11*(n-1)^n/(n-1)^4/(n^n )^2*(n-7)^n/(n-7)^8-67516872*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8+ 76610412*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8-21*n^13*(n-1)^n/(n-1)^2/(n ^n)^2*(n-4)^n/(n-4)^6+11558088*n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8 -9819144*n^14*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8+4909248*n^13*((n-1)^n )^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8-1088640*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n -5)^n/(n-5)^8+639*n^24*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8-6276*n^23*( (n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8+39999*n^22*((n-1)^n)^4/(n-1)^10/(n^ n)^5*(n-4)^n/(n-4)^8-173670*n^21*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8+ 524033*n^20*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8-1098304*n^19*((n-1)^n) ^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8+1565520*n^18*((n-1)^n)^4/(n-1)^10/(n^n)^5*( n-4)^n/(n-4)^8-1443312*n^17*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8+772848 *n^16*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8-181440*n^15*((n-1)^n)^4/(n-1 )^10/(n^n)^5*(n-4)^n/(n-4)^8-3/2*n^24*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5) ^8+63*n^23*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8-2373/2*n^22*((n-1)^n)^3/ (n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8+13248*n^21*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/ (n-5)^8-195309/2*n^20*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8+500499*n^19*( (n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8-3656139/2*n^18*((n-1)^n)^3/(n-1)^8/( n^n)^4*(n-5)^n/(n-5)^8+4791654*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8 -8938104*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-5)^n/(n-5)^8+420*n^12*(n-1)^n/(n-1 )^2/(n^n)^2*(n-4)^n/(n-4)^6-3486*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+ 15540*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-40089*n^9*(n-1)^n/(n-1)^2/(n ^n)^2*(n-4)^n/(n-4)^6+59640*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6-47124*n ^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^6+15120*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^6-58277448*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8+26542080*n^7 *(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^8-5443200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n -7)^n/(n-7)^8+1/16*n^26*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^10-25/8*n^25* ((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^10+1101/16*n^24*((n-1)^n)^4/(n-1)^8/( n^n)^5*(n-4)^n/(n-4)^10-7035/8*n^23*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^ 10+115743/16*n^22*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^10-321195/8*n^21*(( n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^10+2449943/16*n^20*((n-1)^n)^4/(n-1)^8/ (n^n)^5*(n-4)^n/(n-4)^10-3203525/8*n^19*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-\ 4)^10+2808039/4*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^10-1566495/2*n^ 17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^10+498366*n^16*((n-1)^n)^4/(n-1)^8 /(n^n)^5*(n-4)^n/(n-4)^10-136080*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4) ^10-1/4*n^24*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10+27/2*n^23*((n-1)^n)^3 /(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10-1301/4*n^22*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5) ^n/(n-5)^10+9237/2*n^21*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10-172023/4*n ^20*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10+552681/2*n^19*((n-1)^n)^3/(n-1 )^6/(n^n)^4*(n-5)^n/(n-5)^10-5019503/4*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n /(n-5)^10+8103411/2*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10-9215089*n ^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10+14365146*n^15*((n-1)^n)^3/(n-1 )^6/(n^n)^4*(n-5)^n/(n-5)^10-14525424*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/ (n-5)^10+8518176*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10-2177280*n^12 *((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^10-7/16*n^32*((n-1)^n)^8/(n-1)^24/(n ^n)^8+35/4*n^31*((n-1)^n)^8/(n-1)^24/(n^n)^8-609/8*n^30*((n-1)^n)^8/(n-1)^24/(n ^n)^8+1505/4*n^29*((n-1)^n)^8/(n-1)^24/(n^n)^8-18487/16*n^28*((n-1)^n)^8/(n-1)^ 24/(n^n)^8+4515/2*n^27*((n-1)^n)^8/(n-1)^24/(n^n)^8-5481/2*n^26*((n-1)^n)^8/(n-\ 1)^24/(n^n)^8+1890*n^25*((n-1)^n)^8/(n-1)^24/(n^n)^8-1/4*n^28*((n-1)^n)^5/(n-1) ^12/(n^n)^6*(n-3)^n/(n-3)^8+35/4*n^27*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-3)^n/(n-3 )^8-267/2*n^26*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-3)^n/(n-3)^8+2337/2*n^25*((n-1)^ n)^5/(n-1)^12/(n^n)^6*(n-3)^n/(n-3)^8-25977/4*n^24*((n-1)^n)^5/(n-1)^12/(n^n)^6 *(n-3)^n/(n-3)^8+95739/4*n^23*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-3)^n/(n-3)^8-\ 59204*n^22*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-3)^n/(n-3)^8+96964*n^21*((n-1)^n)^5/ (n-1)^12/(n^n)^6*(n-3)^n/(n-3)^8-100488*n^20*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-3) ^n/(n-3)^8+59364*n^19*((n-1)^n)^5/(n-1)^12/(n^n)^6*(n-3)^n/(n-3)^8-15120*n^18*( (n-1)^n)^5/(n-1)^12/(n^n)^6*(n-3)^n/(n-3)^8+n^26*((n-1)^n)^4/(n-1)^10/(n^n)^5*( n-4)^n/(n-4)^8-38*n^25*((n-1)^n)^4/(n-1)^10/(n^n)^5*(n-4)^n/(n-4)^8+177/4*n^18* (n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-3/4*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-6) ^n/(n-6)^10-4713/4*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-793179/4*n^15* (n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+74937/4*n^16*(n-1)^n/(n-1)^2/(n^n)^2*( n-6)^n/(n-6)^10+5896431/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-\ 31638939/4*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-259053462*n^9*(n-1)^n/ (n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+243435888*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/ (n-6)^10-176841699/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+123913011/4* n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-134304480*n^7*(n-1)^n/(n-1)^2/(n^ n)^2*(n-6)^n/(n-6)^10+181321773*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10+ 32659200*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^10-1/4*n^26*((n-1)^n)^6/(n-1 )^20/(n^n)^6+5*n^25*((n-1)^n)^6/(n-1)^20/(n^n)^6-87/2*n^24*((n-1)^n)^6/(n-1)^20 /(n^n)^6+215*n^23*((n-1)^n)^6/(n-1)^20/(n^n)^6-2641/4*n^22*((n-1)^n)^6/(n-1)^20 /(n^n)^6+1290*n^21*((n-1)^n)^6/(n-1)^20/(n^n)^6-1566*n^20*((n-1)^n)^6/(n-1)^20/ (n^n)^6+1080*n^19*((n-1)^n)^6/(n-1)^20/(n^n)^6-2404566*n^11*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-6)^n/(n-6)^6+1017360*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6) 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-119/4/(n^n)*n^8*(n-3)^n/(n-3)^6+805/4/(n^n)*n^7*(n-3)^n/(n-3)^6-2765/4/(n^n)*n ^6*(n-3)^n/(n-3)^6+1267/(n^n)*n^5*(n-3)^n/(n-3)^6-1169/(n^n)*n^4*(n-3)^n/(n-3)^ 6+420/(n^n)*n^3*(n-3)^n/(n-3)^6+3*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5 )^8-126*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^8-1925/4*n^18*(n-1)^n/(n -1)^2/(n^n)^2*(n-7)^n/(n-7)^10+65/4*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^ 10+34405/4*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10+3551835/4*n^15*(n-1)^n /(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10-414267/4*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n /(n-7)^10-22339175/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10+104582215/4* n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10+599252220*n^9*(n-1)^n/(n-1)^2/(n^ n)^2*(n-7)^n/(n-7)^10-531639936*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10+ 237282290*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10-91430122*n^12*(n-1)^n/( n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10+279495360*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/( n-7)^10-1/4*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10-448994700*n^10*(n-1)^ n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^10-65318400*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n /(n-7)^10-291/2*n^25*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2+1551/2*n^24*( (n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2-4212*n^19*((n-1)^n)^5/(n-1)^18/(n^n )^6*(n-2)^n/(n-2)^2+972*n^18*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2-10503 /4*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2+23403/4*n^22*((n-1)^n)^5/( n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2-8568*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/ (n-2)^2+7938*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2-3/4*n^27*((n-1)^ n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^2+63/4*n^26*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n -2)^n/(n-2)^2+177/2*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-2133/4*n^ 22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-4698*n^16*((n-1)^n)^4/(n-1)^16/ (n^n)^5*(n-3)^n/(n-3)^2+972*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2+ 16707/8*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-44409/8*n^20*((n-1)^n )^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2+40539/4*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5* (n-3)^n/(n-3)^2-12537*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^2-\ 11498988*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8+11838456*n^8*(n-1)^n/(n-1) ^2/(n^n)^2*(n-6)^n/(n-6)^8-7032960*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8+ 1814400*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^8+51*n^16*(n-1)^n/(n-1)^4/(n^ n)^2*(n-6)^n/(n-6)^6-3/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6-934269/2* n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6+924843*n^10*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-6)^n/(n-6)^6-1253766*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6+1106244*n ^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6-570240*n^7*(n-1)^n/(n-1)^4/(n^n)^2*( n-6)^n/(n-6)^6+6957*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6-81765/2*n^13*( n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^6+129600*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6) ^n/(n-6)^6+6*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6-174*n^18*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+2232*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5) ^n/(n-5)^6-16668*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+80190*n^15*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6-259470*n^14*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-5)^n/(n-5)^6+571188*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6-\ 843432*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+797904*n^11*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6-435456*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^ n/(n-5)^6+103680*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^6+225*n^20*((n-1 )^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6-9*n^21*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4) ^n/(n-4)^6-2448*n^19*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6+15210*n^18*((n -1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6-59445*n^17*((n-1)^n)^3/(n-1)^8/(n^n)^4 *(n-4)^n/(n-4)^6+151425*n^16*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6-251082 *n^15*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6+260820*n^14*((n-1)^n)^3/(n-1) ^8/(n^n)^4*(n-4)^n/(n-4)^6-153576*n^13*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4 )^6+38880*n^12*((n-1)^n)^3/(n-1)^8/(n^n)^4*(n-4)^n/(n-4)^6-1/4*n^21*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+21/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^ n/(n-2)^4-97/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+517/2*n^18*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-3501/4*n^17*((n-1)^n)^3/(n-1)^12/(n^n )^4*(n-2)^n/(n-2)^4 In particular we have an indication that, X[1], and , X[3], are joint-asymptoically normal with limiting correlation 0 and in decomals 0. ------------------------------------------------ We will now study how , X[1], and , X[4], intereact The, 1, 1, mixed moment of, X[1], and , X[4], is 9 n 2 8 n 2 7 n 2 6 n 2 n ((n - 1) ) 3 n ((n - 1) ) 13 n ((n - 1) ) 4 n ((n - 1) ) - ---------------- + ---------------- - ----------------- + ---------------- 7 n 2 7 n 2 7 n 2 7 n 2 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 6 (n - 2) n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n n 3 4 (n - 2) n + ------------- 5 n (n - 2) n and in Maple notation -1/6*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+3/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-13/3*n ^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+4*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/6*(n-2)^n/(n -2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25 /3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3 The, 1, 2, mixed moment of, X[1], and , X[4], is 9 n 3 13 n n 12 n n 32 n ((n - 1) ) n (n - 1) (n - 2) 19 n (n - 1) (n - 2) ----------------- - -------------------------- + -------------------------- 12 n 3 5 n 2 5 5 n 2 5 (n - 1) (n ) 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 11 n n 10 n n 151 n (n - 1) (n - 2) 649 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 5 5 n 2 5 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 9 n n 8 n n 812 n (n - 1) (n - 2) 1178 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 304 n (n - 1) (n - 2) 32 n (n - 1) (n - 2) - ------------------------- + ----------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n n (n - 1) (n - 2) 7 n (n - 1) (n - 2) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n n 10 n n 161 n (n - 1) (n - 2) 490 n (n - 1) (n - 2) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 9 n n 8 n n 6769 n (n - 1) (n - 2) 3283 n (n - 1) (n - 2) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 6 n 2 363 n (n - 1) (n - 2) 140 n (n - 1) (n - 2) 4 n ((n - 1) ) - ------------------------ + ------------------------ + ---------------- 2 n 2 8 2 n 2 8 7 n 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 9 n 2 8 n 2 7 n 2 n 7 n ((n - 1) ) 3 n ((n - 1) ) 13 n ((n - 1) ) (n - 2) n - ---------------- + ---------------- - ----------------- + ------------- 7 n 2 7 n 2 7 n 2 5 n 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 15 n 3 14 n 3 13 n 3 n ((n - 1) ) n ((n - 1) ) 133 n ((n - 1) ) + ------------------ - --------------- + ------------------- 12 n 3 12 n 3 12 n 3 18 (n - 1) (n ) (n - 1) (n ) 18 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 86 n ((n - 1) ) 554 n ((n - 1) ) 208 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 12 n 3 12 n 3 12 n 3 3 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 11 n 10 n 9 n 8 n n (n - 3) 5 n (n - 3) 21 n (n - 3) 217 n (n - 3) + -------------- - -------------- + -------------- - --------------- n 8 n 8 n 8 n 8 36 n (n - 3) 6 n (n - 3) 2 n (n - 3) 3 n (n - 3) 7 n 6 n 5 n 4 n 3563 n (n - 3) 4445 n (n - 3) 9833 n (n - 3) 866 n (n - 3) + ---------------- - ---------------- + ---------------- - --------------- n 8 n 8 n 8 n 8 12 n (n - 3) 6 n (n - 3) 9 n (n - 3) n (n - 3) 3 n 280 n (n - 3) + --------------- n 8 n (n - 3) and in Maple notation 32*n^9*((n-1)^n)^3/(n-1)^12/(n^n)^3-1/18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^5+19/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-151/18*n^11*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/18*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2 )^5-812/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+1178/9*n^8*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-2)^n/(n-2)^5-304/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+32* n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-1/36*n^13*(n-1)^n/(n-1)^2/(n^n)^2*( n-2)^n/(n-2)^8+7/9*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8-161/18*n^11*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+490/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n /(n-2)^8-6769/36*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+3283/9*n^8*(n-1)^n /(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8-363*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^ 8+140*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+4*n^6*((n-1)^n)^2/(n-1)^7/(n^ n)^2-1/6*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+3/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-13 /3*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n -2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4 *(n-2)^n/(n-2)^5/(n^n)*n^3+1/18*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^3-n^14*((n-1)^n )^3/(n-1)^12/(n^n)^3+133/18*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^3-86/3*n^12*((n-1)^ n)^3/(n-1)^12/(n^n)^3+554/9*n^11*((n-1)^n)^3/(n-1)^12/(n^n)^3-208/3*n^10*((n-1) ^n)^3/(n-1)^12/(n^n)^3+1/36/(n^n)*n^11*(n-3)^n/(n-3)^8-5/6/(n^n)*n^10*(n-3)^n/( n-3)^8+21/2/(n^n)*n^9*(n-3)^n/(n-3)^8-217/3/(n^n)*n^8*(n-3)^n/(n-3)^8+3563/12/( n^n)*n^7*(n-3)^n/(n-3)^8-4445/6/(n^n)*n^6*(n-3)^n/(n-3)^8+9833/9/(n^n)*n^5*(n-3 )^n/(n-3)^8-866/(n^n)*n^4*(n-3)^n/(n-3)^8+280/(n^n)*n^3*(n-3)^n/(n-3)^8 The, 1, 3, mixed moment of, X[1], and , X[4], is 12 n 4 9 n 3 13 n n 192 n ((n - 1) ) 48 n ((n - 1) ) n (n - 1) (n - 2) ------------------- + ----------------- - -------------------------- 17 n 4 12 n 3 5 n 2 5 (n - 1) (n ) (n - 1) (n ) 12 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 406 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 589 n (n - 1) (n - 2) 152 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 13 n n 48 n (n - 1) (n - 2) n (n - 1) (n - 2) + ----------------------- - -------------------------- 5 n 2 5 2 n 2 8 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 12 n n 11 n n 7 n (n - 1) (n - 2) 161 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 10 n n 9 n n 490 n (n - 1) (n - 2) 6769 n (n - 1) (n - 2) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 8 n n 7 n n 3283 n (n - 1) (n - 2) 1089 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 21 n 4 20 n 4 420 n (n - 1) (n - 2) n ((n - 1) ) 3 n ((n - 1) ) + ------------------------ - ------------------ + ----------------- 2 n 2 8 17 n 4 17 n 4 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) 8 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 107 n ((n - 1) ) 245 n ((n - 1) ) 1607 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 17 n 4 17 n 4 17 n 4 24 (n - 1) (n ) 8 (n - 1) (n ) 12 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 773 n ((n - 1) ) 6625 n ((n - 1) ) 892 n ((n - 1) ) + ------------------- - -------------------- + ------------------- 17 n 4 17 n 4 17 n 4 2 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 13 n 4 15 n 14 n 624 n ((n - 1) ) n (n - 4) 5 n (n - 4) - ------------------- + ---------------- - --------------- 17 n 4 n 11 n 11 (n - 1) (n ) 216 n (n - 4) 18 n (n - 4) 13 n 12 n 11 n 1601 n (n - 4) 1045 n (n - 4) 85481 n (n - 4) + ----------------- - ----------------- + ------------------ n 11 n 11 n 11 216 n (n - 4) 9 n (n - 4) 72 n (n - 4) 10 n 9 n 8 n 16665 n (n - 4) 8873843 n (n - 4) 1287770 n (n - 4) - ------------------ + ------------------- - ------------------- n 11 n 11 n 11 2 n (n - 4) 216 n (n - 4) 9 n (n - 4) 7 n 6 n 5 n 9412832 n (n - 4) 5202230 n (n - 4) 1851298 n (n - 4) + ------------------- - ------------------- + ------------------- n 11 n 11 n 11 27 n (n - 4) 9 n (n - 4) 3 n (n - 4) 4 n 3 n 6 n 2 379240 n (n - 4) 100800 n (n - 4) 4 n ((n - 1) ) - ------------------ + ------------------ + ---------------- n 11 n 11 7 n 2 n (n - 4) n (n - 4) (n - 1) (n ) 9 n 2 8 n 2 7 n 2 n 7 n ((n - 1) ) 3 n ((n - 1) ) 13 n ((n - 1) ) (n - 2) n - ---------------- + ---------------- - ----------------- + ------------- 7 n 2 7 n 2 7 n 2 5 n 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 14 n n 13 n n 1135 n (n - 1) (n - 3) 14891 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 12 n n 11 n n 22183 n (n - 1) (n - 3) 154943 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 10 n n 9 n n 55630 n (n - 1) (n - 3) 244172 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 76886 n (n - 1) (n - 3) 14032 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n n 3360 n (n - 1) (n - 3) n (n - 1) (n - 3) + ------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 17 n n 16 n n n (n - 1) (n - 3) 19 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 2 n 2 11 2 n 2 11 216 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 15 n n 14 n n 715 n (n - 1) (n - 3) 385 n (n - 1) (n - 3) - ---------------------------- + -------------------------- 2 n 2 11 2 n 2 11 108 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n n 12 n n 64691 n (n - 1) (n - 3) 135289 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 72 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 11 n n 10 n n 652630 n (n - 1) (n - 3) 635140 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 3696572 n (n - 1) (n - 3) 501886 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 2 n 2 11 2 n 2 11 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 345640 n (n - 1) (n - 3) 33600 n (n - 1) (n - 3) - --------------------------- + -------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 14 n 3 13 n 3 n ((n - 1) ) 3 n ((n - 1) ) 133 n ((n - 1) ) + ------------------ - ----------------- + ------------------- 12 n 3 12 n 3 12 n 3 12 (n - 1) (n ) 2 (n - 1) (n ) 12 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 43 n ((n - 1) ) 277 n ((n - 1) ) 104 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 12 n 3 12 n 3 12 n 3 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 20207 n ((n - 1) ) (n - 2) 14653 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1516 n ((n - 1) ) (n - 2) 816 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n 2 n 192 n ((n - 1) ) (n - 2) 935 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 5 7 n 3 8 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3717 n ((n - 1) ) (n - 2) 14749 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 7 n 3 8 7 n 3 8 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 177145 n ((n - 1) ) (n - 2) 156635 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 29179 n ((n - 1) ) (n - 2) 6176 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 19 n 2 n 1680 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 37 n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 7 n 3 8 7 n 3 8 72 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n n 15 n n 11 n 13 n (n - 1) (n - 3) 337 n (n - 1) (n - 3) n (n - 3) + -------------------------- - -------------------------- + -------------- 5 n 2 8 5 n 2 8 n 8 24 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 12 n (n - 3) 10 n 9 n 8 n 7 n 5 n (n - 3) 63 n (n - 3) 217 n (n - 3) 3563 n (n - 3) - -------------- + -------------- - --------------- + ---------------- n 8 n 8 n 8 n 8 2 n (n - 3) 2 n (n - 3) n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 3 n 4445 n (n - 3) 9833 n (n - 3) 2598 n (n - 3) 840 n (n - 3) - ---------------- + ---------------- - ---------------- + --------------- n 8 n 8 n 8 n 8 2 n (n - 3) 3 n (n - 3) n (n - 3) n (n - 3) and in Maple notation 192*n^12*((n-1)^n)^4/(n-1)^17/(n^n)^4+48*n^9*((n-1)^n)^3/(n-1)^12/(n^n)^3-1/12* n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+19/12*n^12*(n-1)^n/(n-1)^5/(n^n)^2 *(n-2)^n/(n-2)^5-151/12*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/12*n^ 10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-406/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n -2)^n/(n-2)^5+589/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-152*n^7*(n-1)^n /(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+48*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5 -1/12*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+7/3*n^12*(n-1)^n/(n-1)^2/(n^ n)^2*(n-2)^n/(n-2)^8-161/6*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+490/3*n ^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8-6769/12*n^9*(n-1)^n/(n-1)^2/(n^n)^2 *(n-2)^n/(n-2)^8+3283/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8-1089*n^7*(n -1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+420*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/( n-2)^8-1/72*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+3/8*n^20*((n-1)^n)^4/(n-1)^17/(n^ n)^4-107/24*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+245/8*n^18*((n-1)^n)^4/(n-1)^17/( n^n)^4-1607/12*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^4+773/2*n^16*((n-1)^n)^4/(n-1)^ 17/(n^n)^4-6625/9*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^4+892*n^14*((n-1)^n)^4/(n-1)^ 17/(n^n)^4-624*n^13*((n-1)^n)^4/(n-1)^17/(n^n)^4+1/216/(n^n)*n^15*(n-4)^n/(n-4) ^11-5/18/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/216/(n^n)*n^13*(n-4)^n/(n-4)^11-1045/ 9/(n^n)*n^12*(n-4)^n/(n-4)^11+85481/72/(n^n)*n^11*(n-4)^n/(n-4)^11-16665/2/(n^n )*n^10*(n-4)^n/(n-4)^11+8873843/216/(n^n)*n^9*(n-4)^n/(n-4)^11-1287770/9/(n^n)* n^8*(n-4)^n/(n-4)^11+9412832/27/(n^n)*n^7*(n-4)^n/(n-4)^11-5202230/9/(n^n)*n^6* (n-4)^n/(n-4)^11+1851298/3/(n^n)*n^5*(n-4)^n/(n-4)^11-379240/(n^n)*n^4*(n-4)^n/ (n-4)^11+100800/(n^n)*n^3*(n-4)^n/(n-4)^11+4*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2-1/ 6*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+3/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-13/3*n^7* ((n-1)^n)^2/(n-1)^7/(n^n)^2+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/( n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^ n/(n-2)^5/(n^n)*n^3+1135/12*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14891/ 24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+22183/8*n^12*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^8-154943/18*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+ 55630/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-244172/9*n^9*(n-1)^n/(n-1) ^5/(n^n)^2*(n-3)^n/(n-3)^8+76886/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-\ 14032*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+3360*n^6*(n-1)^n/(n-1)^5/(n^n )^2*(n-3)^n/(n-3)^8-1/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/216*n^ 17*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+19/72*n^16*(n-1)^n/(n-1)^2/(n^n)^2* (n-3)^n/(n-3)^11-715/108*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+385/4*n^ 14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11-64691/72*n^13*(n-1)^n/(n-1)^2/(n^n) ^2*(n-3)^n/(n-3)^11+135289/24*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11-\ 652630/27*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+635140/9*n^10*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11-3696572/27*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/ (n-3)^11+501886/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11-345640/3*n^7*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+33600*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n /(n-3)^11+1/12*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^3-3/2*n^14*((n-1)^n)^3/(n-1)^12/ (n^n)^3+133/12*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^3-43*n^12*((n-1)^n)^3/(n-1)^12/( n^n)^3+277/3*n^11*((n-1)^n)^3/(n-1)^12/(n^n)^3-104*n^10*((n-1)^n)^3/(n-1)^12/(n ^n)^3+1/72*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-7/18*n^18*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+29/6*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 2)^n/(n-2)^5-421/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+3949/24*n ^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-6245/12*n^14*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-2)^n/(n-2)^5+20207/18*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^5-14653/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+1516*n^11*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-816*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-2)^n/(n-2)^5+192*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-935/12*n^ 16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+3717/8*n^15*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-2)^n/(n-2)^8-14749/8*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^ 8+177145/36*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8-156635/18*n^12*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+29179/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-2)^n/(n-2)^8-6176*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+1680*n ^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+1/72*n^19*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-2)^n/(n-2)^8-37/72*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+25 /3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+13/24*n^16*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^8-337/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+1/ 12/(n^n)*n^11*(n-3)^n/(n-3)^8-5/2/(n^n)*n^10*(n-3)^n/(n-3)^8+63/2/(n^n)*n^9*(n-\ 3)^n/(n-3)^8-217/(n^n)*n^8*(n-3)^n/(n-3)^8+3563/4/(n^n)*n^7*(n-3)^n/(n-3)^8-\ 4445/2/(n^n)*n^6*(n-3)^n/(n-3)^8+9833/3/(n^n)*n^5*(n-3)^n/(n-3)^8-2598/(n^n)*n^ 4*(n-3)^n/(n-3)^8+840/(n^n)*n^3*(n-3)^n/(n-3)^8 The, 1, 4, mixed moment of, X[1], and , X[4], is 12 n 4 9 n 3 13 n n 384 n ((n - 1) ) 64 n ((n - 1) ) n (n - 1) (n - 2) ------------------- + ----------------- - ------------------------- 17 n 4 12 n 3 5 n 2 5 (n - 1) (n ) (n - 1) (n ) 9 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 1624 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 2356 n (n - 1) (n - 2) 608 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 13 n n 64 n (n - 1) (n - 2) 7 n (n - 1) (n - 2) + ----------------------- - -------------------------- 5 n 2 5 2 n 2 8 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 12 n n 11 n n 49 n (n - 1) (n - 2) 1127 n (n - 1) (n - 2) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 10 n n 9 n n 3430 n (n - 1) (n - 2) 47383 n (n - 1) (n - 2) + -------------------------- - -------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 8 n n 7 n n 22981 n (n - 1) (n - 2) 2541 n (n - 1) (n - 2) + -------------------------- - ------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 21 n 4 20 n 4 980 n (n - 1) (n - 2) n ((n - 1) ) 3 n ((n - 1) ) + ------------------------ - ------------------ + ----------------- 2 n 2 8 17 n 4 17 n 4 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) 4 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 107 n ((n - 1) ) 245 n ((n - 1) ) 1607 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 17 n 4 17 n 4 17 n 4 12 (n - 1) (n ) 4 (n - 1) (n ) 6 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 773 n ((n - 1) ) 13250 n ((n - 1) ) 1784 n ((n - 1) ) + ------------------- - --------------------- + -------------------- 17 n 4 17 n 4 17 n 4 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 13 n 4 15 n 14 n 1248 n ((n - 1) ) n (n - 4) 5 n (n - 4) - -------------------- + --------------- - -------------- 17 n 4 n 11 n 11 (n - 1) (n ) 36 n (n - 4) 3 n (n - 4) 13 n 12 n 11 n 1601 n (n - 4) 2090 n (n - 4) 85481 n (n - 4) + ----------------- - ----------------- + ------------------ n 11 n 11 n 11 36 n (n - 4) 3 n (n - 4) 12 n (n - 4) 10 n 9 n 8 n 49995 n (n - 4) 8873843 n (n - 4) 2575540 n (n - 4) - ------------------ + ------------------- - ------------------- n 11 n 11 n 11 n (n - 4) 36 n (n - 4) 3 n (n - 4) 7 n 6 n 5 n 18825664 n (n - 4) 10404460 n (n - 4) 3702596 n (n - 4) + -------------------- - -------------------- + ------------------- n 11 n 11 n 11 9 n (n - 4) 3 n (n - 4) n (n - 4) 4 n 3 n 2275440 n (n - 4) 604800 n (n - 4) - ------------------- + ------------------ n 11 n 11 n (n - 4) n (n - 4) 11 n n 12 n n 5632436537 n (n - 1) (n - 4) 2615329717 n (n - 1) (n - 4) - -------------------------------- + -------------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 7 n n 10 n n 115703440 n (n - 1) (n - 4) 3914827189 n (n - 1) (n - 4) - ------------------------------ + -------------------------------- 2 n 2 14 2 n 2 14 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 6 n n 15 n 5 6 n 2 28828800 n (n - 1) (n - 4) 1024 n ((n - 1) ) 4 n ((n - 1) ) + ----------------------------- + -------------------- + ---------------- 2 n 2 14 22 n 5 7 n 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 1) (n ) 27 n 5 26 n 5 25 n 5 n ((n - 1) ) n ((n - 1) ) 295 n ((n - 1) ) + ------------------- - ----------------- + ------------------- 22 n 5 22 n 5 22 n 5 324 (n - 1) (n ) 9 (n - 1) (n ) 162 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 485 n ((n - 1) ) 12827 n ((n - 1) ) 4990 n ((n - 1) ) - ------------------- + --------------------- - -------------------- 22 n 5 22 n 5 22 n 5 27 (n - 1) (n ) 108 (n - 1) (n ) 9 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 151766 n ((n - 1) ) 41560 n ((n - 1) ) 667204 n ((n - 1) ) + ---------------------- - --------------------- + ---------------------- 22 n 5 22 n 5 22 n 5 81 (n - 1) (n ) 9 (n - 1) (n ) 81 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 280000 n ((n - 1) ) 26240 n ((n - 1) ) 13312 n ((n - 1) ) - ---------------------- + --------------------- - --------------------- 22 n 5 22 n 5 22 n 5 27 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 n 7 n ((n - 1) ) 3 n ((n - 1) ) 13 n ((n - 1) ) (n - 2) n - ---------------- + ---------------- - ----------------- + ------------- 7 n 2 7 n 2 7 n 2 5 n 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 14 n n 13 n n 1135 n (n - 1) (n - 3) 14891 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n n 11 n n 22183 n (n - 1) (n - 3) 309886 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 222520 n (n - 1) (n - 3) 976688 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 307544 n (n - 1) (n - 3) 56128 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n n 13440 n (n - 1) (n - 3) n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 17 n n 16 n n n (n - 1) (n - 3) 19 n (n - 1) (n - 3) - --------------------------- + --------------------------- 2 n 2 11 2 n 2 11 36 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 15 n n 14 n n 715 n (n - 1) (n - 3) 1155 n (n - 1) (n - 3) - --------------------------- + -------------------------- 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 64691 n (n - 1) (n - 3) 135289 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 12 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 1305260 n (n - 1) (n - 3) 1270280 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 7393144 n (n - 1) (n - 3) 1003772 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 691280 n (n - 1) (n - 3) 201600 n (n - 1) (n - 3) - --------------------------- + --------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n n 17 n n 13691 n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 12 n n 11 n n 151593178 n (n - 1) (n - 4) 989149928 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 10 n n 9 n n 527917684 n (n - 1) (n - 4) 66862312 n (n - 1) (n - 4) + ------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 51155648 n (n - 1) (n - 4) 7815040 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 20 n n 1612800 n (n - 1) (n - 4) 2 n (n - 1) (n - 4) + ---------------------------- + --------------------------- 5 n 2 11 2 n 2 14 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 21 n n 18 n n n (n - 1) (n - 4) 9191 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 2 n 2 14 2 n 2 14 1296 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 16 n n 17 n n 2049047 n (n - 1) (n - 4) 976157 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 2 n 2 14 2 n 2 14 108 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 19 n n 13 n n 262 n (n - 1) (n - 4) 8101053389 n (n - 1) (n - 4) - --------------------------- - -------------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 15 n n 9 n n 28403947 n (n - 1) (n - 4) 211935851 n (n - 1) (n - 4) - ------------------------------ - ------------------------------ 2 n 2 14 2 n 2 14 162 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 14 n n 613011848 n (n - 1) (n - 4) 130511953 n (n - 1) (n - 4) + ------------------------------ + ------------------------------- 2 n 2 14 2 n 2 14 3 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 19 n 17 n 18 n n (n - 5) 286 n (n - 5) 25 n (n - 5) + ----------------- + ---------------- - ---------------- n 14 n 14 n 14 1296 n (n - 5) 81 n (n - 5) 324 n (n - 5) 15 n 13 n 14 n 1196741 n (n - 5) 40698229 n (n - 5) 8099455 n (n - 5) + -------------------- + --------------------- - -------------------- n 14 n 14 n 14 648 n (n - 5) 162 n (n - 5) 324 n (n - 5) 16 n 10 n 12 n 31765 n (n - 5) 3986760635 n (n - 5) 618767435 n (n - 5) - ------------------ - ----------------------- - ---------------------- n 14 n 14 n 14 324 n (n - 5) 81 n (n - 5) 324 n (n - 5) 6 n 5 n 3156242060 n (n - 5) 2799157712 n (n - 5) - ---------------------- + ---------------------- n 14 n 14 3 n (n - 5) 3 n (n - 5) 11 n 8 n 14365627133 n (n - 5) 34274227715 n (n - 5) + ------------------------ - ----------------------- n 14 n 14 1296 n (n - 5) 81 n (n - 5) 9 n 4 n 13478425688 n (n - 5) 491642560 n (n - 5) + ----------------------- - --------------------- n 14 n 14 81 n (n - 5) n (n - 5) 7 n 3 n 21381576733 n (n - 5) 115315200 n (n - 5) + ----------------------- + --------------------- n 14 n 14 27 n (n - 5) n (n - 5) 22 n 3 n 21 n 3 n 2999 n ((n - 1) ) (n - 2) 11159 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 8 12 n 4 8 54 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 2 n 99013 n ((n - 1) ) (n - 2) 124423 n ((n - 1) ) (n - 3) + ------------------------------ + ------------------------------- 12 n 4 8 10 n 3 8 36 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 3) 18 n 2 n 23 n 2 n 66245 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 10 n 3 8 10 n 3 8 18 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 2 n ((n - 1) ) (n - 3) 1051 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3741533 n ((n - 1) ) (n - 3) 2196007 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 4359382 n ((n - 1) ) (n - 3) 319506 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 27 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 12556042 n ((n - 1) ) (n - 3) 4341356 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 336720 n ((n - 1) ) (n - 3) 141376 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 26880 n ((n - 1) ) (n - 3) 773 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 23 n 2 n 22 n 2 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 7 n 3 11 7 n 3 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 21 n 2 n 15 n 3 14 n 3 1969 n ((n - 1) ) (n - 3) n ((n - 1) ) 2 n ((n - 1) ) + ----------------------------- + ----------------- - ----------------- 7 n 3 11 12 n 3 12 n 3 324 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 1) (n ) 13 n 3 12 n 3 11 n 3 133 n ((n - 1) ) 172 n ((n - 1) ) 1108 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 12 n 3 12 n 3 12 n 3 9 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 10 n 3 20 n 2 n 416 n ((n - 1) ) 5861 n ((n - 1) ) (n - 3) - ------------------- - ----------------------------- 12 n 3 7 n 3 11 3 (n - 1) (n ) 54 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 419731 n ((n - 1) ) (n - 3) 589853 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 11 7 n 3 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 21724307 n ((n - 1) ) (n - 3) 16424683 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 7 n 3 11 7 n 3 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 82933070 n ((n - 1) ) (n - 3) 68660108 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 7 n 3 11 7 n 3 11 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 371208956 n ((n - 1) ) (n - 3) 156708728 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 7 n 3 11 7 n 3 11 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 43878208 n ((n - 1) ) (n - 3) 7277440 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 7 n 3 11 7 n 3 11 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n 2 n 19 n n 537600 n ((n - 1) ) (n - 3) 2167 n (n - 1) (n - 4) + ------------------------------ - ---------------------------- 7 n 3 11 5 n 2 11 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 4) 21 n n 20 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 10 n 3 5 10 n 3 5 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 20207 n ((n - 1) ) (n - 2) 29306 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 3032 n ((n - 1) ) (n - 2) 1632 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n 2 n 384 n ((n - 1) ) (n - 2) 935 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 5 7 n 3 8 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3717 n ((n - 1) ) (n - 2) 14749 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 177145 n ((n - 1) ) (n - 2) 313270 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 116716 n ((n - 1) ) (n - 2) 24704 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 19 n 2 n 6720 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 37 n ((n - 1) ) (n - 2) 100 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 8 7 n 3 8 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n n 15 n n 11 n 13 n (n - 1) (n - 3) 337 n (n - 1) (n - 3) 7 n (n - 3) + ------------------------- - ------------------------- + -------------- 5 n 2 8 5 n 2 8 n 8 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 36 n (n - 3) 10 n 9 n 8 n 7 n 35 n (n - 3) 147 n (n - 3) 1519 n (n - 3) 24941 n (n - 3) - --------------- + --------------- - ---------------- + ----------------- n 8 n 8 n 8 n 8 6 n (n - 3) 2 n (n - 3) 3 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 31115 n (n - 3) 68831 n (n - 3) 6062 n (n - 3) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 6 n (n - 3) 9 n (n - 3) n (n - 3) 3 n 24 n 3 n 1960 n (n - 3) 37 n ((n - 1) ) (n - 2) + ---------------- + ---------------------------- n 8 15 n 4 5 n (n - 3) 324 (n - 1) (n ) (n - 2) 22 n 3 n 23 n 3 n 3205 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 162 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 25 n 3 n 19 n 3 n n ((n - 1) ) (n - 2) 196676 n ((n - 1) ) (n - 2) - ---------------------------- - ------------------------------- 15 n 4 5 15 n 4 5 324 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 21 n 3 n 15 n 3 n 14767 n ((n - 1) ) (n - 2) 516160 n ((n - 1) ) (n - 2) - ------------------------------ - ------------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 14 n 3 n 20 n 3 n 13184 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) + ------------------------------ + ------------------------------ 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 1041244 n ((n - 1) ) (n - 2) 525806 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 16384 n ((n - 1) ) (n - 2) 1507204 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------------- 15 n 4 5 15 n 4 5 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 12 n 3 n 25 n 3 n 1024 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 15 n 4 5 12 n 4 8 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 23 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 12 n 4 8 12 n 4 8 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 2553377 n ((n - 1) ) (n - 2) 1008661 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 216 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 2342060 n ((n - 1) ) (n - 2) 3942542 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 1556986 n ((n - 1) ) (n - 2) 136376 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 63968 n ((n - 1) ) (n - 2) 13440 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) and in Maple notation 384*n^12*((n-1)^n)^4/(n-1)^17/(n^n)^4+64*n^9*((n-1)^n)^3/(n-1)^12/(n^n)^3-1/9*n ^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+19/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*( n-2)^n/(n-2)^5-151/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/9*n^10*(n -1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-1624/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^ n/(n-2)^5+2356/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-608/3*n^7*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+64*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-\ 7/36*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+49/9*n^12*(n-1)^n/(n-1)^2/(n^ n)^2*(n-2)^n/(n-2)^8-1127/18*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+3430/ 9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8-47383/36*n^9*(n-1)^n/(n-1)^2/(n^ n)^2*(n-2)^n/(n-2)^8+22981/9*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8-2541*n ^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^8+980*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2 )^n/(n-2)^8-1/36*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+3/4*n^20*((n-1)^n)^4/(n-1)^ 17/(n^n)^4-107/12*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+245/4*n^18*((n-1)^n)^4/(n-1 )^17/(n^n)^4-1607/6*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^4+773*n^16*((n-1)^n)^4/(n-1 )^17/(n^n)^4-13250/9*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^4+1784*n^14*((n-1)^n)^4/(n -1)^17/(n^n)^4-1248*n^13*((n-1)^n)^4/(n-1)^17/(n^n)^4+1/36/(n^n)*n^15*(n-4)^n/( n-4)^11-5/3/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/36/(n^n)*n^13*(n-4)^n/(n-4)^11-\ 2090/3/(n^n)*n^12*(n-4)^n/(n-4)^11+85481/12/(n^n)*n^11*(n-4)^n/(n-4)^11-49995/( n^n)*n^10*(n-4)^n/(n-4)^11+8873843/36/(n^n)*n^9*(n-4)^n/(n-4)^11-2575540/3/(n^n )*n^8*(n-4)^n/(n-4)^11+18825664/9/(n^n)*n^7*(n-4)^n/(n-4)^11-10404460/3/(n^n)*n ^6*(n-4)^n/(n-4)^11+3702596/(n^n)*n^5*(n-4)^n/(n-4)^11-2275440/(n^n)*n^4*(n-4)^ n/(n-4)^11+604800/(n^n)*n^3*(n-4)^n/(n-4)^11-5632436537/81*n^11*(n-1)^n/(n-1)^2 /(n^n)^2*(n-4)^n/(n-4)^14+2615329717/108*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/( n-4)^14-115703440*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14+3914827189/27*n^ 10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14+28828800*n^6*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-4)^n/(n-4)^14+1024*n^15*((n-1)^n)^5/(n-1)^22/(n^n)^5+4*n^6*((n-1)^n)^2/(n-\ 1)^7/(n^n)^2+1/324*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^5-1/9*n^26*((n-1)^n)^5/(n-1) ^22/(n^n)^5+295/162*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^5-485/27*n^24*((n-1)^n)^5/( n-1)^22/(n^n)^5+12827/108*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^5-4990/9*n^22*((n-1)^ n)^5/(n-1)^22/(n^n)^5+151766/81*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^5-41560/9*n^20* ((n-1)^n)^5/(n-1)^22/(n^n)^5+667204/81*n^19*((n-1)^n)^5/(n-1)^22/(n^n)^5-280000 /27*n^18*((n-1)^n)^5/(n-1)^22/(n^n)^5+26240/3*n^17*((n-1)^n)^5/(n-1)^22/(n^n)^5 -13312/3*n^16*((n-1)^n)^5/(n-1)^22/(n^n)^5-1/6*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+ 3/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-13/3*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/6*(n -2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n )*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3+1135/3*n^14*(n -1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14891/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3 )^n/(n-3)^8+22183/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-309886/9*n^11* (n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+222520/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^8-976688/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+307544/3*n^ 8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-56128*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^8+13440*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/18*n^17*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/36*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-\ 3)^11+19/12*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11-715/18*n^15*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+1155/2*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-\ 3)^11-64691/12*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+135289/4*n^12*(n-1 )^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11-1305260/9*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 3)^n/(n-3)^11+1270280/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11-7393144/9 *n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+1003772*n^8*(n-1)^n/(n-1)^2/(n^n) ^2*(n-3)^n/(n-3)^11-691280*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+201600* n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^11+13691/108*n^18*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^11-525229/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+ 1599437/108*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/324*n^15*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673/108*n^14*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^11-313688287/162*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+ 151593178/27*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-989149928/81*n^11*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+527917684/27*n^10*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^11-66862312/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+ 51155648/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-7815040*n^7*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11+1612800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^11+2/27*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14-1/1296*n^21*(n-1)^n/(n-1 )^2/(n^n)^2*(n-4)^n/(n-4)^14+9191/108*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4 )^14+2049047/108*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14-976157/648*n^17* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14-262/81*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^14-8101053389/1296*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14-\ 28403947/162*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14-211935851*n^9*(n-1)^ n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14+613011848/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4 )^n/(n-4)^14+130511953/108*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^14+1/1296 /(n^n)*n^19*(n-5)^n/(n-5)^14+286/81/(n^n)*n^17*(n-5)^n/(n-5)^14-25/324/(n^n)*n^ 18*(n-5)^n/(n-5)^14+1196741/648/(n^n)*n^15*(n-5)^n/(n-5)^14+40698229/162/(n^n)* n^13*(n-5)^n/(n-5)^14-8099455/324/(n^n)*n^14*(n-5)^n/(n-5)^14-31765/324/(n^n)*n ^16*(n-5)^n/(n-5)^14-3986760635/81/(n^n)*n^10*(n-5)^n/(n-5)^14-618767435/324/(n ^n)*n^12*(n-5)^n/(n-5)^14-3156242060/3/(n^n)*n^6*(n-5)^n/(n-5)^14+2799157712/3/ (n^n)*n^5*(n-5)^n/(n-5)^14+14365627133/1296/(n^n)*n^11*(n-5)^n/(n-5)^14-\ 34274227715/81/(n^n)*n^8*(n-5)^n/(n-5)^14+13478425688/81/(n^n)*n^9*(n-5)^n/(n-5 )^14-491642560/(n^n)*n^4*(n-5)^n/(n-5)^14+21381576733/27/(n^n)*n^7*(n-5)^n/(n-5 )^14+115315200/(n^n)*n^3*(n-5)^n/(n-5)^14+2999/54*n^22*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-2)^n/(n-2)^8-11159/24*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8 +99013/36*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+124423/216*n^19*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-66245/18*n^18*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^8+1/216*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-2 /9*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+1051/216*n^21*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+3741533/216*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-3)^n/(n-3)^8-2196007/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+ 4359382/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-319506*n^14*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+12556042/27*n^13*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^8-4341356/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3) ^8+336720*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-141376*n^10*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+26880*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^8-773/12*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+1/324*n^ 23*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11-11/54*n^22*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-3)^n/(n-3)^11+1969/324*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3 )^11+1/9*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^3-2*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^3+ 133/9*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^3-172/3*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^3 +1108/9*n^11*((n-1)^n)^3/(n-1)^12/(n^n)^3-416/3*n^10*((n-1)^n)^3/(n-1)^12/(n^n) ^3-5861/54*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11+419731/324*n^19*(( n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11-589853/54*n^18*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-3)^n/(n-3)^11+21724307/324*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/( n-3)^11-16424683/54*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11+82933070/ 81*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11-68660108/27*n^14*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11+371208956/81*n^13*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-3)^n/(n-3)^11-156708728/27*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3) ^11+43878208/9*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11-7277440/3*n^10 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^11+537600*n^9*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-3)^n/(n-3)^11-2167/324*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-1 /324*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+23/108*n^20*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^11+1/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5 -7/9*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+29/3*n^17*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-2)^n/(n-2)^5-421/6*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^5+3949/12*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-6245/6*n^14*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+20207/9*n^13*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-2)^n/(n-2)^5-29306/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^ 5+3032*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-1632*n^10*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+384*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^5-935/3*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+3717/2*n^15*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8-14749/2*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-2)^n/(n-2)^8+177145/9*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8-\ 313270/9*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+116716/3*n^11*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8-24704*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 2)^n/(n-2)^8+6720*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+1/18*n^19*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8-37/18*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-2)^n/(n-2)^8+100/3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^8+13/6*n^ 16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-337/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^8+7/36/(n^n)*n^11*(n-3)^n/(n-3)^8-35/6/(n^n)*n^10*(n-3)^n/(n-3)^8+ 147/2/(n^n)*n^9*(n-3)^n/(n-3)^8-1519/3/(n^n)*n^8*(n-3)^n/(n-3)^8+24941/12/(n^n) *n^7*(n-3)^n/(n-3)^8-31115/6/(n^n)*n^6*(n-3)^n/(n-3)^8+68831/9/(n^n)*n^5*(n-3)^ n/(n-3)^8-6062/(n^n)*n^4*(n-3)^n/(n-3)^8+1960/(n^n)*n^3*(n-3)^n/(n-3)^8+37/324* n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+3205/162*n^22*((n-1)^n)^3/(n-\ 1)^15/(n^n)^4*(n-2)^n/(n-2)^5-313/162*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n /(n-2)^5-1/324*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-196676/81*n^19 *((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-14767/108*n^21*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^5-516160/27*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/ (n-2)^5+13184*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+72707/108*n^20* ((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-1041244/81*n^17*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^5+525806/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/ (n-2)^5-16384/3*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+1507204/81*n^ 16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+1024*n^12*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-2)^n/(n-2)^5-1/216*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8 +23/108*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-959/216*n^23*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-2553377/216*n^19*((n-1)^n)^3/(n-1)^12/(n^n )^4*(n-2)^n/(n-2)^8+1008661/27*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^ 8-2342060/27*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+3942542/27*n^16* ((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-1556986/9*n^15*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^8+136376*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-\ 2)^8-63968*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+13440*n^12*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8 The, 2, 1, mixed moment of, X[1], and , X[4], is 6 n 2 9 n 3 10 n n 4 n ((n - 1) ) 8 n ((n - 1) ) n (n - 1) (n - 2) ---------------- - ---------------- - ------------------------- 7 n 2 9 n 3 5 n 2 2 (n - 1) (n ) (n - 1) (n ) 6 (n - 1) (n ) (n - 2) 9 n n 8 n n 5 n (n - 1) (n - 2) 35 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 2 5 n 2 2 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 7 n n 6 n n 25 n (n - 1) (n - 2) 4 n (n - 1) (n - 2) + ------------------------- - ----------------------- 5 n 2 2 5 n 2 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n n (n - 1) (n - 2) 10 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 35 n (n - 1) (n - 2) 50 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 9 n 2 8 n 2 8 n (n - 1) (n - 2) n ((n - 1) ) 3 n ((n - 1) ) - ----------------------- - ---------------- + ---------------- 2 n 2 5 7 n 2 7 n 2 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) 2 (n - 1) (n ) 7 n 2 n 7 n 6 n 5 13 n ((n - 1) ) (n - 2) n 5 (n - 2) n 35 (n - 2) n - ----------------- + ------------- - ------------- + -------------- 7 n 2 5 n 5 n 5 n 3 (n - 1) (n ) 6 (n - 2) n 3 (n - 2) n 6 (n - 2) n n 4 n 3 12 n 3 11 n 3 25 (n - 2) n 4 (n - 2) n n ((n - 1) ) 3 n ((n - 1) ) - -------------- + ------------- + ---------------- - ----------------- 5 n 5 n 9 n 3 9 n 3 3 (n - 2) n (n - 2) n 3 (n - 1) (n ) (n - 1) (n ) 10 n 3 8 n 7 n 6 n 26 n ((n - 1) ) n (n - 3) 2 n (n - 3) 55 n (n - 3) + ------------------ + ------------- - ------------- + -------------- 9 n 3 n 5 n 5 n 5 3 (n - 1) (n ) 6 n (n - 3) n (n - 3) 6 n (n - 3) 5 n 4 n 3 n 20 n (n - 3) 62 n (n - 3) 8 n (n - 3) - -------------- + -------------- - ------------- n 5 n 5 n 5 n (n - 3) 3 n (n - 3) n (n - 3) and in Maple notation 4*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2-8*n^9*((n-1)^n)^3/(n-1)^9/(n^n)^3-1/6*n^10*(n -1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2+5/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^2-35/6*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2+25/3*n^7*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-2)^n/(n-2)^2-4*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2-1/3*n^ 10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+10/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 2)^n/(n-2)^5-35/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+50/3*n^7*(n-1)^n/ (n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-8*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-1 /6*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+3/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-13/3*n^7 *((n-1)^n)^2/(n-1)^7/(n^n)^2+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/ (n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2) ^n/(n-2)^5/(n^n)*n^3+1/3*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^3-3*n^11*((n-1)^n)^3/(n -1)^9/(n^n)^3+26/3*n^10*((n-1)^n)^3/(n-1)^9/(n^n)^3+1/6/(n^n)*n^8*(n-3)^n/(n-3) ^5-2/(n^n)*n^7*(n-3)^n/(n-3)^5+55/6/(n^n)*n^6*(n-3)^n/(n-3)^5-20/(n^n)*n^5*(n-3 )^n/(n-3)^5+62/3/(n^n)*n^4*(n-3)^n/(n-3)^5-8/(n^n)*n^3*(n-3)^n/(n-3)^5 The, 2, 2, mixed moment of, X[1], and , X[4], is 9 n 3 13 n n 12 n n 16 n ((n - 1) ) n (n - 1) (n - 2) 19 n (n - 1) (n - 2) ----------------- - -------------------------- + -------------------------- 12 n 3 5 n 2 5 5 n 2 5 (n - 1) (n ) 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 11 n n 10 n n 151 n (n - 1) (n - 2) 649 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 5 5 n 2 5 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 9 n n 8 n n 812 n (n - 1) (n - 2) 1178 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 12 n 4 304 n (n - 1) (n - 2) 32 n (n - 1) (n - 2) 48 n ((n - 1) ) - ------------------------- + ----------------------- - ------------------ 5 n 2 5 5 n 2 5 14 n 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 11 n n 10 n n 317 n (n - 1) (n - 3) 487 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 934 n (n - 1) (n - 3) 3268 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 7 n n 6 n n 704 n (n - 1) (n - 3) 64 n (n - 1) (n - 3) + ------------------------- - ----------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 18 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n n 16 n 2 n 21 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 5 n 2 5 4 n 3 8 2 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 7 n ((n - 1) ) (n - 2) 161 n ((n - 1) ) (n - 2) - -------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 9 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 490 n ((n - 1) ) (n - 2) 6769 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 9 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 3283 n ((n - 1) ) (n - 2) 363 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 14 n n 140 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - --------------------------- - -------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 3) 13 n n 12 n n 5 n (n - 1) (n - 3) 21 n (n - 1) (n - 3) + ------------------------- - ------------------------ 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 434 n (n - 1) (n - 3) 3563 n (n - 1) (n - 3) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 9 n n 8 n n 4445 n (n - 1) (n - 3) 19666 n (n - 1) (n - 3) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 7 n n 6 n n 1732 n (n - 1) (n - 3) 560 n (n - 1) (n - 3) + ------------------------- - ------------------------ 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 10 n 3 2 10 n 3 2 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 406 n ((n - 1) ) (n - 2) 589 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 152 n ((n - 1) ) (n - 2) 16 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 10 n 3 2 10 n 3 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 1624 n ((n - 1) ) (n - 2) 2356 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 608 n ((n - 1) ) (n - 2) 64 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 3 10 n n 9 n n 4 n ((n - 1) ) n (n - 1) (n - 2) 10 n (n - 1) (n - 2) - ---------------- - ------------------------- + ------------------------- 9 n 3 2 n 2 5 2 n 2 5 (n - 1) (n ) 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 35 n (n - 1) (n - 2) 50 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n n 7 n 6 n 5 8 n (n - 1) (n - 2) (n - 2) n 5 (n - 2) n 35 (n - 2) n - ----------------------- + ------------- - ------------- + -------------- 2 n 2 5 5 n 5 n 5 n (n - 1) (n ) (n - 2) 6 (n - 2) n 3 (n - 2) n 6 (n - 2) n n 4 n 3 18 n 4 17 n 4 25 (n - 2) n 4 (n - 2) n n ((n - 1) ) 3 n ((n - 1) ) - -------------- + ------------- - ------------------ + ----------------- 5 n 5 n 14 n 4 14 n 4 3 (n - 2) n (n - 2) n 12 (n - 1) (n ) 2 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 133 n ((n - 1) ) 43 n ((n - 1) ) 277 n ((n - 1) ) - ------------------- + ------------------ - ------------------- 14 n 4 14 n 4 14 n 4 12 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 13 n 4 12 n 11 n 10 n 104 n ((n - 1) ) n (n - 4) 11 n (n - 4) 13 n (n - 4) + ------------------- + -------------- - --------------- + --------------- 14 n 4 n 8 n 8 n 8 (n - 1) (n ) 36 n (n - 4) 12 n (n - 4) n (n - 4) 9 n 8 n 7 n 623 n (n - 4) 6167 n (n - 4) 19579 n (n - 4) - --------------- + ---------------- - ----------------- n 8 n 8 n 8 6 n (n - 4) 12 n (n - 4) 12 n (n - 4) 6 n 5 n 4 n 59671 n (n - 4) 12431 n (n - 4) 2878 n (n - 4) + ----------------- - ----------------- + ---------------- n 8 n 8 n 8 18 n (n - 4) 3 n (n - 4) n (n - 4) 3 n 12 n 3 11 n 3 840 n (n - 4) n ((n - 1) ) 3 n ((n - 1) ) - --------------- + ---------------- - ----------------- n 8 9 n 3 9 n 3 n (n - 4) 6 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 8 n 7 n 6 n 13 n ((n - 1) ) n (n - 3) 2 n (n - 3) 55 n (n - 3) + ------------------ + ------------- - ------------- + -------------- 9 n 3 n 5 n 5 n 5 3 (n - 1) (n ) 6 n (n - 3) n (n - 3) 6 n (n - 3) 5 n 4 n 3 n 15 n 3 20 n (n - 3) 62 n (n - 3) 8 n (n - 3) n ((n - 1) ) - -------------- + -------------- - ------------- + ------------------ n 5 n 5 n 5 12 n 3 n (n - 3) 3 n (n - 3) n (n - 3) 36 (n - 1) (n ) 14 n 3 13 n 3 12 n 3 n ((n - 1) ) 133 n ((n - 1) ) 43 n ((n - 1) ) - ----------------- + ------------------- - ------------------ 12 n 3 12 n 3 12 n 3 2 (n - 1) (n ) 36 (n - 1) (n ) 3 (n - 1) (n ) 11 n 3 10 n 3 11 n 277 n ((n - 1) ) 104 n ((n - 1) ) n (n - 3) + ------------------- - ------------------- + -------------- 12 n 3 12 n 3 n 8 9 (n - 1) (n ) 3 (n - 1) (n ) 36 n (n - 3) 10 n 9 n 8 n 7 n 5 n (n - 3) 21 n (n - 3) 217 n (n - 3) 3563 n (n - 3) - -------------- + -------------- - --------------- + ---------------- n 8 n 8 n 8 n 8 6 n (n - 3) 2 n (n - 3) 3 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 3 n 4445 n (n - 3) 9833 n (n - 3) 866 n (n - 3) 280 n (n - 3) - ---------------- + ---------------- - --------------- + --------------- n 8 n 8 n 8 n 8 6 n (n - 3) 9 n (n - 3) n (n - 3) n (n - 3) and in Maple notation 16*n^9*((n-1)^n)^3/(n-1)^12/(n^n)^3-1/18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^5+19/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-151/18*n^11*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/18*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2 )^5-812/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+1178/9*n^8*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-2)^n/(n-2)^5-304/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+32* n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-48*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^ 4+317/6*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-487/3*n^10*(n-1)^n/(n-1)^5 /(n^n)^2*(n-3)^n/(n-3)^5+934/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-3268 /9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+704/3*n^7*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-3)^n/(n-3)^5-64*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1/18*n^14*(n-1 )^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+7/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^5-21/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+1/36*n^16*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-7/9*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-\ 2)^8+161/18*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-490/9*n^13*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8+6769/36*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*( n-2)^n/(n-2)^8-3283/9*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8+363*n^10 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-140*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^ 3*(n-2)^n/(n-2)^8-1/18*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+5/3*n^13*(n -1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-21*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/( n-3)^8+434/3*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-3563/6*n^10*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+4445/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3) ^8-19666/9*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+1732*n^7*(n-1)^n/(n-1)^2 /(n^n)^2*(n-3)^n/(n-3)^8-560*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+1/36*n ^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-19/36*n^15*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-2)^n/(n-2)^2+151/36*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-\ 2)^2-649/36*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2+406/9*n^12*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-589/9*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^2+152/3*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-16*n^9* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2+1/9*n^16*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-2)^n/(n-2)^5-19/9*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+151/9* n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-649/9*n^13*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-2)^n/(n-2)^5+1624/9*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^ 5-2356/9*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+608/3*n^10*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-64*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n -2)^5-4*n^9*((n-1)^n)^3/(n-1)^9/(n^n)^3-1/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^ n/(n-2)^5+10/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-35/3*n^8*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-2)^n/(n-2)^5+50/3*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-8 *n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3* (n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/( n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3-1/12*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+3/2 *n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-133/12*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+43* n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-277/3*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+104*n ^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/36/(n^n)*n^12*(n-4)^n/(n-4)^8-11/12/(n^n)*n^ 11*(n-4)^n/(n-4)^8+13/(n^n)*n^10*(n-4)^n/(n-4)^8-623/6/(n^n)*n^9*(n-4)^n/(n-4)^ 8+6167/12/(n^n)*n^8*(n-4)^n/(n-4)^8-19579/12/(n^n)*n^7*(n-4)^n/(n-4)^8+59671/18 /(n^n)*n^6*(n-4)^n/(n-4)^8-12431/3/(n^n)*n^5*(n-4)^n/(n-4)^8+2878/(n^n)*n^4*(n-\ 4)^n/(n-4)^8-840/(n^n)*n^3*(n-4)^n/(n-4)^8+1/6*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^3 -3/2*n^11*((n-1)^n)^3/(n-1)^9/(n^n)^3+13/3*n^10*((n-1)^n)^3/(n-1)^9/(n^n)^3+1/6 /(n^n)*n^8*(n-3)^n/(n-3)^5-2/(n^n)*n^7*(n-3)^n/(n-3)^5+55/6/(n^n)*n^6*(n-3)^n/( n-3)^5-20/(n^n)*n^5*(n-3)^n/(n-3)^5+62/3/(n^n)*n^4*(n-3)^n/(n-3)^5-8/(n^n)*n^3* (n-3)^n/(n-3)^5+1/36*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^3-1/2*n^14*((n-1)^n)^3/(n-\ 1)^12/(n^n)^3+133/36*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^3-43/3*n^12*((n-1)^n)^3/(n -1)^12/(n^n)^3+277/9*n^11*((n-1)^n)^3/(n-1)^12/(n^n)^3-104/3*n^10*((n-1)^n)^3/( n-1)^12/(n^n)^3+1/36/(n^n)*n^11*(n-3)^n/(n-3)^8-5/6/(n^n)*n^10*(n-3)^n/(n-3)^8+ 21/2/(n^n)*n^9*(n-3)^n/(n-3)^8-217/3/(n^n)*n^8*(n-3)^n/(n-3)^8+3563/12/(n^n)*n^ 7*(n-3)^n/(n-3)^8-4445/6/(n^n)*n^6*(n-3)^n/(n-3)^8+9833/9/(n^n)*n^5*(n-3)^n/(n-\ 3)^8-866/(n^n)*n^4*(n-3)^n/(n-3)^8+280/(n^n)*n^3*(n-3)^n/(n-3)^8 The, 2, 3, mixed moment of, X[1], and , X[4], is 12 n 4 22 n 3 n 21 n 3 n 64 n ((n - 1) ) n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) ------------------ - ---------------------------- + --------------------------- 17 n 4 15 n 4 2 15 n 4 2 (n - 1) (n ) 216 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 15 n 4 2 15 n 4 2 18 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 15 n 4 2 15 n 4 2 72 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 16 n 3 n 13 n 3 n 20207 n ((n - 1) ) (n - 2) 272 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 15 n 4 2 15 n 4 2 54 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 3 n 64 n ((n - 1) ) (n - 2) 14653 n ((n - 1) ) (n - 2) - --------------------------- + ------------------------------ 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 14 n 3 n 22 n 3 n 1516 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ----------------------------- - --------------------------- 15 n 4 2 12 n 4 5 3 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 29306 n ((n - 1) ) (n - 2) 3032 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1632 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 19471 n ((n - 1) ) (n - 3) 11620 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 42950 n ((n - 1) ) (n - 3) 3848 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1824 n ((n - 1) ) (n - 3) 384 n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 5 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 72 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 101 n ((n - 1) ) (n - 3) 179 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 18 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 5633 n ((n - 1) ) (n - 3) 1699 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 24 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 935 n ((n - 1) ) (n - 2) 3717 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 8 9 n 4 8 12 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 14749 n ((n - 1) ) (n - 2) 177145 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 9 n 4 8 9 n 4 8 8 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 156635 n ((n - 1) ) (n - 2) 29179 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 9 n 4 8 9 n 4 8 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 6176 n ((n - 1) ) (n - 2) 1680 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 8 9 n 4 8 72 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 2 n 25 n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 3) - --------------------------- - --------------------------- 9 n 4 8 7 n 3 8 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 337 n ((n - 1) ) (n - 3) 1135 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 3 8 7 n 3 8 18 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 14891 n ((n - 1) ) (n - 3) 22183 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 7 n 3 8 7 n 3 8 12 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 154943 n ((n - 1) ) (n - 3) 111260 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 488344 n ((n - 1) ) (n - 3) 153772 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 28064 n ((n - 1) ) (n - 3) 6720 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 18 n n n ((n - 1) ) (n - 3) n (n - 1) (n - 4) + -------------------------- - -------------------------- 7 n 3 8 5 n 2 8 36 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 4) 17 n n 16 n n 7 n (n - 1) (n - 4) 791 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 13 n n 12 n n n (n - 1) (n - 2) 19 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 11 n n 10 n n 151 n (n - 1) (n - 2) 649 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 9 n n 8 n n 406 n (n - 1) (n - 2) 589 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 152 n (n - 1) (n - 2) 48 n (n - 1) (n - 2) - ------------------------ + ----------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 368 n (n - 1) (n - 4) 21701 n (n - 1) (n - 4) + ------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 12 n n 18537 n (n - 1) (n - 4) 1218713 n (n - 1) (n - 4) + --------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 4 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 11 n n 10 n n 266203 n (n - 1) (n - 4) 744842 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 6 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 9 n n 8 n n 321058 n (n - 1) (n - 4) 90918 n (n - 1) (n - 4) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 45456 n (n - 1) (n - 4) 10080 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 19 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 4 n 3 11 4 n 3 11 216 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 715 n ((n - 1) ) (n - 3) 385 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 4 n 3 11 4 n 3 11 108 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 64691 n ((n - 1) ) (n - 3) 135289 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 4 n 3 11 4 n 3 11 72 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 652630 n ((n - 1) ) (n - 3) 635140 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 4 n 3 11 4 n 3 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 3696572 n ((n - 1) ) (n - 3) 501886 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 4 n 3 11 4 n 3 11 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 345640 n ((n - 1) ) (n - 3) 33600 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n n 17 n n n (n - 1) (n - 4) 5 n (n - 1) (n - 4) - ---------------------------- + -------------------------- 2 n 2 11 2 n 2 11 108 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 16 n n 15 n n 1601 n (n - 1) (n - 4) 2090 n (n - 1) (n - 4) - ---------------------------- + -------------------------- 2 n 2 11 2 n 2 11 108 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 14 n n 13 n n 85481 n (n - 1) (n - 4) 16665 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 11 2 n 2 11 36 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 8873843 n (n - 1) (n - 4) 2575540 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 2 n 2 11 2 n 2 11 108 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 10 n n 9 n n 18825664 n (n - 1) (n - 4) 10404460 n (n - 1) (n - 4) - ------------------------------ + ----------------------------- 2 n 2 11 2 n 2 11 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 8 n n 7 n n 3702596 n (n - 1) (n - 4) 758480 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 12 n 4 21 n 4 201600 n (n - 1) (n - 4) 48 n ((n - 1) ) n ((n - 1) ) - --------------------------- - ------------------ - ------------------- 2 n 2 11 14 n 4 17 n 4 (n - 1) (n ) (n - 4) (n - 1) (n ) 216 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 n ((n - 1) ) 107 n ((n - 1) ) 245 n ((n - 1) ) + ----------------- - ------------------- + ------------------- 17 n 4 17 n 4 17 n 4 8 (n - 1) (n ) 72 (n - 1) (n ) 24 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 1607 n ((n - 1) ) 773 n ((n - 1) ) 6625 n ((n - 1) ) - -------------------- + ------------------- - -------------------- 17 n 4 17 n 4 17 n 4 36 (n - 1) (n ) 6 (n - 1) (n ) 27 (n - 1) (n ) 14 n 4 13 n 4 15 n 892 n ((n - 1) ) 208 n ((n - 1) ) n (n - 4) + ------------------- - ------------------- + ---------------- 17 n 4 17 n 4 n 11 3 (n - 1) (n ) (n - 1) (n ) 216 n (n - 4) 14 n 13 n 12 n 5 n (n - 4) 1601 n (n - 4) 1045 n (n - 4) - --------------- + ----------------- - ----------------- n 11 n 11 n 11 18 n (n - 4) 216 n (n - 4) 9 n (n - 4) 11 n 10 n 9 n 85481 n (n - 4) 16665 n (n - 4) 8873843 n (n - 4) + ------------------ - ------------------ + ------------------- n 11 n 11 n 11 72 n (n - 4) 2 n (n - 4) 216 n (n - 4) 8 n 7 n 6 n 1287770 n (n - 4) 9412832 n (n - 4) 5202230 n (n - 4) - ------------------- + ------------------- - ------------------- n 11 n 11 n 11 9 n (n - 4) 27 n (n - 4) 9 n (n - 4) 5 n 4 n 3 n 1851298 n (n - 4) 379240 n (n - 4) 100800 n (n - 4) + ------------------- - ------------------ + ------------------ n 11 n 11 n 11 3 n (n - 4) n (n - 4) n (n - 4) 11 n n 10 n n 317 n (n - 1) (n - 3) 487 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 467 n (n - 1) (n - 3) 1634 n (n - 1) (n - 3) + ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 352 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) + ------------------------ - ----------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 16 n 2 n 63 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 5 n 2 5 4 n 3 8 4 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 7 n ((n - 1) ) (n - 2) 161 n ((n - 1) ) (n - 2) - -------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 490 n ((n - 1) ) (n - 2) 6769 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 3283 n ((n - 1) ) (n - 2) 1089 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 14 n n 420 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - --------------------------- - ------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 3) 13 n n 12 n n 5 n (n - 1) (n - 3) 63 n (n - 1) (n - 3) + ----------------------- - ------------------------ 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 434 n (n - 1) (n - 3) 3563 n (n - 1) (n - 3) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 4445 n (n - 1) (n - 3) 19666 n (n - 1) (n - 3) + ------------------------- - -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 5196 n (n - 1) (n - 3) 1680 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 7 n 3 5 7 n 3 5 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 812 n ((n - 1) ) (n - 2) 1178 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 304 n ((n - 1) ) (n - 2) 96 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 3 10 n n 9 n n 4 n ((n - 1) ) n (n - 1) (n - 2) 10 n (n - 1) (n - 2) - ---------------- - ------------------------- + ------------------------- 9 n 3 2 n 2 5 2 n 2 5 (n - 1) (n ) 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 35 n (n - 1) (n - 2) 50 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 15 n 5 15 n 8 n (n - 1) (n - 2) 256 n ((n - 1) ) 8 n (n - 5) - ----------------------- - ------------------- - --------------- 2 n 2 5 19 n 5 n 11 (n - 1) (n ) (n - 2) (n - 1) (n ) 27 n (n - 5) 13 n 14 n 16 n 7871 n (n - 5) 1841 n (n - 5) n (n - 5) - ----------------- + ----------------- + ---------------- n 11 n 11 n 11 54 n (n - 5) 216 n (n - 5) 216 n (n - 5) 10 n 12 n 6 n 16073123 n (n - 5) 118921 n (n - 5) 26362814 n (n - 5) + --------------------- + ------------------- + -------------------- n 11 n 11 n 11 216 n (n - 5) 72 n (n - 5) 9 n (n - 5) 5 n 11 n 8 n 8542912 n (n - 5) 117733 n (n - 5) 24866072 n (n - 5) - ------------------- - ------------------- + -------------------- n 11 n 11 n 11 3 n (n - 5) 9 n (n - 5) 27 n (n - 5) 9 n 4 n 7 n 16600463 n (n - 5) 1617760 n (n - 5) 53258018 n (n - 5) - -------------------- + ------------------- - -------------------- n 11 n 11 n 11 54 n (n - 5) n (n - 5) 27 n (n - 5) 3 n 24 n 5 23 n 5 403200 n (n - 5) n ((n - 1) ) n ((n - 1) ) - ------------------ + ------------------ - ----------------- n 11 19 n 5 19 n 5 n (n - 5) 54 (n - 1) (n ) 2 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 107 n ((n - 1) ) 245 n ((n - 1) ) 1607 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 19 n 5 19 n 5 19 n 5 18 (n - 1) (n ) 6 (n - 1) (n ) 9 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 1546 n ((n - 1) ) 26500 n ((n - 1) ) 3568 n ((n - 1) ) - -------------------- + --------------------- - -------------------- 19 n 5 19 n 5 19 n 5 3 (n - 1) (n ) 27 (n - 1) (n ) 3 (n - 1) (n ) 16 n 5 n 7 n 6 n 5 832 n ((n - 1) ) (n - 2) n 5 (n - 2) n 35 (n - 2) n + ------------------- + ------------- - ------------- + -------------- 19 n 5 5 n 5 n 5 n (n - 1) (n ) 6 (n - 2) n 3 (n - 2) n 6 (n - 2) n n 4 n 3 18 n 4 17 n 4 25 (n - 2) n 4 (n - 2) n n ((n - 1) ) 3 n ((n - 1) ) - -------------- + ------------- - ------------------ + ----------------- 5 n 5 n 14 n 4 14 n 4 3 (n - 2) n (n - 2) n 12 (n - 1) (n ) 2 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 133 n ((n - 1) ) 43 n ((n - 1) ) 277 n ((n - 1) ) - ------------------- + ------------------ - ------------------- 14 n 4 14 n 4 14 n 4 12 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 13 n 4 12 n 11 n 10 n 104 n ((n - 1) ) n (n - 4) 11 n (n - 4) 39 n (n - 4) + ------------------- + -------------- - --------------- + --------------- 14 n 4 n 8 n 8 n 8 (n - 1) (n ) 12 n (n - 4) 4 n (n - 4) n (n - 4) 9 n 8 n 7 n 623 n (n - 4) 6167 n (n - 4) 19579 n (n - 4) - --------------- + ---------------- - ----------------- n 8 n 8 n 8 2 n (n - 4) 4 n (n - 4) 4 n (n - 4) 6 n 5 n 4 n 59671 n (n - 4) 12431 n (n - 4) 8634 n (n - 4) + ----------------- - ----------------- + ---------------- n 8 n 8 n 8 6 n (n - 4) n (n - 4) n (n - 4) 3 n 12 n 3 11 n 3 2520 n (n - 4) n ((n - 1) ) 3 n ((n - 1) ) - ---------------- + ---------------- - ----------------- n 8 9 n 3 9 n 3 n (n - 4) 6 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 8 n 7 n 6 n 13 n ((n - 1) ) n (n - 3) 2 n (n - 3) 55 n (n - 3) + ------------------ + ------------- - ------------- + -------------- 9 n 3 n 5 n 5 n 5 3 (n - 1) (n ) 6 n (n - 3) n (n - 3) 6 n (n - 3) 5 n 4 n 3 n 20 n (n - 3) 62 n (n - 3) 8 n (n - 3) - -------------- + -------------- - ------------- n 5 n 5 n 5 n (n - 3) 3 n (n - 3) n (n - 3) 14 n n 13 n n 1135 n (n - 1) (n - 3) 14891 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 12 n n 11 n n 22183 n (n - 1) (n - 3) 154943 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 10 n n 9 n n 55630 n (n - 1) (n - 3) 244172 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 76886 n (n - 1) (n - 3) 14032 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n n 3360 n (n - 1) (n - 3) n (n - 1) (n - 3) + ------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 20207 n ((n - 1) ) (n - 2) 14653 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1516 n ((n - 1) ) (n - 2) 816 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n n 192 n ((n - 1) ) (n - 2) 13 n (n - 1) (n - 3) + --------------------------- + -------------------------- 10 n 3 5 5 n 2 8 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 3) 15 n n 11 n 10 n 337 n (n - 1) (n - 3) n (n - 3) 5 n (n - 3) - -------------------------- + -------------- - -------------- 5 n 2 8 n 8 n 8 36 (n - 1) (n ) (n - 3) 12 n (n - 3) 2 n (n - 3) 9 n 8 n 7 n 6 n 63 n (n - 3) 217 n (n - 3) 3563 n (n - 3) 4445 n (n - 3) + -------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 2 n (n - 3) n (n - 3) 4 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 9833 n (n - 3) 2598 n (n - 3) 840 n (n - 3) + ---------------- - ---------------- + --------------- n 8 n 8 n 8 3 n (n - 3) n (n - 3) n (n - 3) and in Maple notation 64*n^12*((n-1)^n)^4/(n-1)^17/(n^n)^4-1/216*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -2)^n/(n-2)^2+7/54*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-29/18*n^20 *((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+421/36*n^19*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-2)^n/(n-2)^2-3949/72*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2) ^2+6245/36*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-20207/54*n^16*((n-\ 1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+272*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4* (n-2)^n/(n-2)^2-64*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+14653/27*n ^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-1516/3*n^14*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^2-1/36*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2) ^5+7/9*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-29/3*n^20*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+421/6*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^ n/(n-2)^5-3949/12*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+6245/6*n^17 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-20207/9*n^16*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-2)^n/(n-2)^5+29306/9*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2 )^5-3032*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+1632*n^13*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-384*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^ n/(n-2)^5+19471/9*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-11620/3*n^ 13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+42950/9*n^12*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^5-3848*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3) ^5+1824*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-384*n^9*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+1/72*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^5-5/12*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+101/18*n^18*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-179/4*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-3)^n/(n-3)^5+5633/24*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-\ 1699/2*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+935/12*n^19*((n-1)^n)^ 3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-3717/8*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2) ^n/(n-2)^8+14749/8*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-177145/36*n ^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+156635/18*n^15*((n-1)^n)^3/(n-1 )^9/(n^n)^4*(n-2)^n/(n-2)^8-29179/3*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n -2)^8+6176*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-1680*n^12*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-1/72*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^ n/(n-2)^8+37/72*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-25/3*n^20*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-13/12*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3* (n-3)^n/(n-3)^8+337/18*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-1135/6* n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+14891/12*n^16*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-3)^n/(n-3)^8-22183/4*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n -3)^8+154943/9*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-111260/3*n^13*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+488344/9*n^12*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-3)^n/(n-3)^8-153772/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8 +28064*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-6720*n^9*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-3)^n/(n-3)^8+1/36*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-\ 3)^8-1/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+7/12*n^17*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-4)^n/(n-4)^8-791/72*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1 /12*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+19/12*n^12*(n-1)^n/(n-1)^5/(n^ n)^2*(n-2)^n/(n-2)^5-151/12*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/12 *n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-406/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2 *(n-2)^n/(n-2)^5+589/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-152*n^7*(n-1 )^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+48*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2 )^5+368/3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-21701/24*n^14*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^8+18537/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^8-1218713/72*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+266203/6*n^11*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-744842/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^ n/(n-4)^8+321058/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-90918*n^8*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+45456*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^8-10080*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1/216*n^20*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-19/72*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/ (n-3)^11+715/108*n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-385/4*n^17*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11+64691/72*n^16*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-3)^n/(n-3)^11-135289/24*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3 )^11+652630/27*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-635140/9*n^13* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11+3696572/27*n^12*((n-1)^n)^2/(n-1)^ 4/(n^n)^3*(n-3)^n/(n-3)^11-501886/3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n -3)^11+345640/3*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-33600*n^9*((n -1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-1/108*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^11+5/9*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-1601/108*n^16* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+2090/9*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^11-85481/36*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+16665*n^ 13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-8873843/108*n^12*(n-1)^n/(n-1)^2/(n ^n)^2*(n-4)^n/(n-4)^11+2575540/9*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-\ 18825664/27*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+10404460/9*n^9*(n-1)^ n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-3702596/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^ n/(n-4)^11+758480*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-201600*n^6*(n-1) ^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-48*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4-1/216* n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+1/8*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^4-107/72* n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+245/24*n^18*((n-1)^n)^4/(n-1)^17/(n^n)^4-1607 /36*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^4+773/6*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^4-\ 6625/27*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^4+892/3*n^14*((n-1)^n)^4/(n-1)^17/(n^n) ^4-208*n^13*((n-1)^n)^4/(n-1)^17/(n^n)^4+1/216/(n^n)*n^15*(n-4)^n/(n-4)^11-5/18 /(n^n)*n^14*(n-4)^n/(n-4)^11+1601/216/(n^n)*n^13*(n-4)^n/(n-4)^11-1045/9/(n^n)* n^12*(n-4)^n/(n-4)^11+85481/72/(n^n)*n^11*(n-4)^n/(n-4)^11-16665/2/(n^n)*n^10*( n-4)^n/(n-4)^11+8873843/216/(n^n)*n^9*(n-4)^n/(n-4)^11-1287770/9/(n^n)*n^8*(n-4 )^n/(n-4)^11+9412832/27/(n^n)*n^7*(n-4)^n/(n-4)^11-5202230/9/(n^n)*n^6*(n-4)^n/ (n-4)^11+1851298/3/(n^n)*n^5*(n-4)^n/(n-4)^11-379240/(n^n)*n^4*(n-4)^n/(n-4)^11 +100800/(n^n)*n^3*(n-4)^n/(n-4)^11+317/4*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^5-487/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+467*n^9*(n-1)^n/(n-1) ^5/(n^n)^2*(n-3)^n/(n-3)^5-1634/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+ 352*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-96*n^6*(n-1)^n/(n-1)^5/(n^n)^2* (n-3)^n/(n-3)^5-1/12*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+7/4*n^13*(n-1 )^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-63/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^5+1/12*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-7/3*n^15*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8+161/6*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2) ^n/(n-2)^8-490/3*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8+6769/12*n^12* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-3283/3*n^11*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-2)^n/(n-2)^8+1089*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-420* n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-1/6*n^14*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-3)^n/(n-3)^8+5*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-63*n^12*(n-1)^ n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+434*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3 )^8-3563/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+4445*n^9*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^8-19666/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+ 5196*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-1680*n^6*(n-1)^n/(n-1)^2/(n^n) ^2*(n-3)^n/(n-3)^8+1/6*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-19/6*n^ 15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+151/6*n^14*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-2)^n/(n-2)^5-649/6*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+ 812/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1178/3*n^11*((n-1)^n)^2/ (n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+304*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n -2)^5-96*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-4*n^9*((n-1)^n)^3/(n-1 )^9/(n^n)^3-1/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+10/3*n^9*(n-1)^n/( n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-35/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5 +50/3*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-8*n^6*(n-1)^n/(n-1)^2/(n^n)^2 *(n-2)^n/(n-2)^5-256*n^15*((n-1)^n)^5/(n-1)^19/(n^n)^5-8/27/(n^n)*n^15*(n-5)^n/ (n-5)^11-7871/54/(n^n)*n^13*(n-5)^n/(n-5)^11+1841/216/(n^n)*n^14*(n-5)^n/(n-5)^ 11+1/216/(n^n)*n^16*(n-5)^n/(n-5)^11+16073123/216/(n^n)*n^10*(n-5)^n/(n-5)^11+ 118921/72/(n^n)*n^12*(n-5)^n/(n-5)^11+26362814/9/(n^n)*n^6*(n-5)^n/(n-5)^11-\ 8542912/3/(n^n)*n^5*(n-5)^n/(n-5)^11-117733/9/(n^n)*n^11*(n-5)^n/(n-5)^11+ 24866072/27/(n^n)*n^8*(n-5)^n/(n-5)^11-16600463/54/(n^n)*n^9*(n-5)^n/(n-5)^11+ 1617760/(n^n)*n^4*(n-5)^n/(n-5)^11-53258018/27/(n^n)*n^7*(n-5)^n/(n-5)^11-\ 403200/(n^n)*n^3*(n-5)^n/(n-5)^11+1/54*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5-1/2*n^ 23*((n-1)^n)^5/(n-1)^19/(n^n)^5+107/18*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5-245/6* n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+1607/9*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^5-1546 /3*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+26500/27*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^5 -3568/3*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5+832*n^16*((n-1)^n)^5/(n-1)^19/(n^n)^5 +1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2) ^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3-1/12*n^ 18*((n-1)^n)^4/(n-1)^14/(n^n)^4+3/2*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-133/12*n^ 16*((n-1)^n)^4/(n-1)^14/(n^n)^4+43*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-277/3*n^14 *((n-1)^n)^4/(n-1)^14/(n^n)^4+104*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/12/(n^n)* n^12*(n-4)^n/(n-4)^8-11/4/(n^n)*n^11*(n-4)^n/(n-4)^8+39/(n^n)*n^10*(n-4)^n/(n-4 )^8-623/2/(n^n)*n^9*(n-4)^n/(n-4)^8+6167/4/(n^n)*n^8*(n-4)^n/(n-4)^8-19579/4/(n ^n)*n^7*(n-4)^n/(n-4)^8+59671/6/(n^n)*n^6*(n-4)^n/(n-4)^8-12431/(n^n)*n^5*(n-4) ^n/(n-4)^8+8634/(n^n)*n^4*(n-4)^n/(n-4)^8-2520/(n^n)*n^3*(n-4)^n/(n-4)^8+1/6*n^ 12*((n-1)^n)^3/(n-1)^9/(n^n)^3-3/2*n^11*((n-1)^n)^3/(n-1)^9/(n^n)^3+13/3*n^10*( (n-1)^n)^3/(n-1)^9/(n^n)^3+1/6/(n^n)*n^8*(n-3)^n/(n-3)^5-2/(n^n)*n^7*(n-3)^n/(n -3)^5+55/6/(n^n)*n^6*(n-3)^n/(n-3)^5-20/(n^n)*n^5*(n-3)^n/(n-3)^5+62/3/(n^n)*n^ 4*(n-3)^n/(n-3)^5-8/(n^n)*n^3*(n-3)^n/(n-3)^5+1135/12*n^14*(n-1)^n/(n-1)^5/(n^n )^2*(n-3)^n/(n-3)^8-14891/24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+22183 /8*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-154943/18*n^11*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^8+55630/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-\ 244172/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+76886/3*n^8*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^8-14032*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+ 3360*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/72*n^17*(n-1)^n/(n-1)^5/(n^n )^2*(n-3)^n/(n-3)^8+1/72*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-7/18 *n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+29/6*n^17*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-2)^n/(n-2)^5-421/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-\ 2)^5+3949/24*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-6245/12*n^14*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+20207/18*n^13*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-2)^n/(n-2)^5-14653/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5 +1516*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-816*n^10*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-2)^n/(n-2)^5+192*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-\ 2)^5+13/24*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-337/36*n^15*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^8+1/12/(n^n)*n^11*(n-3)^n/(n-3)^8-5/2/(n^n)*n^10*(n-\ 3)^n/(n-3)^8+63/2/(n^n)*n^9*(n-3)^n/(n-3)^8-217/(n^n)*n^8*(n-3)^n/(n-3)^8+3563/ 4/(n^n)*n^7*(n-3)^n/(n-3)^8-4445/2/(n^n)*n^6*(n-3)^n/(n-3)^8+9833/3/(n^n)*n^5*( n-3)^n/(n-3)^8-2598/(n^n)*n^4*(n-3)^n/(n-3)^8+840/(n^n)*n^3*(n-3)^n/(n-3)^8 The, 2, 4, mixed moment of, X[1], and , X[4], is 23 n 2 n 24 n 2 n 2 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 4 n 3 14 4 n 3 14 27 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 21 n 2 n 19 n 2 n 9191 n ((n - 1) ) (n - 4) 2049047 n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------------- 4 n 3 14 4 n 3 14 108 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 20 n 2 n 22 n 2 n 976157 n ((n - 1) ) (n - 4) 262 n ((n - 1) ) (n - 4) + ------------------------------- + ---------------------------- 4 n 3 14 4 n 3 14 648 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 16 n 2 n 18 n 2 n 8101053389 n ((n - 1) ) (n - 4) 28403947 n ((n - 1) ) (n - 4) + ----------------------------------- + --------------------------------- 4 n 3 14 4 n 3 14 1296 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 211935851 n ((n - 1) ) (n - 4) 613011848 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 4 n 3 14 4 n 3 14 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 17 n 2 n 14 n 2 n 130511953 n ((n - 1) ) (n - 4) 5632436537 n ((n - 1) ) (n - 4) - ---------------------------------- + ----------------------------------- 4 n 3 14 4 n 3 14 108 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 15 n 2 n 10 n 2 n 2615329717 n ((n - 1) ) (n - 4) 115703440 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 4 n 3 14 4 n 3 14 108 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 3914827189 n ((n - 1) ) (n - 4) 28828800 n ((n - 1) ) (n - 4) - ----------------------------------- - -------------------------------- 4 n 3 14 4 n 3 14 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n n 20 n n n (n - 1) (n - 5) 572 n (n - 1) (n - 5) - ---------------------------- - --------------------------- 2 n 2 14 2 n 2 14 648 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 21 n n 18 n n 25 n (n - 1) (n - 5) 1196741 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 2 n 2 14 2 n 2 14 162 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 16 n n 17 n n 40698229 n (n - 1) (n - 5) 8099455 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 5) 19 n n 13 n n 31765 n (n - 1) (n - 5) 7973521270 n (n - 1) (n - 5) + ---------------------------- + -------------------------------- 2 n 2 14 2 n 2 14 162 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 15 n n 9 n n 618767435 n (n - 1) (n - 5) 6312484120 n (n - 1) (n - 5) + ------------------------------- + ------------------------------- 2 n 2 14 2 n 2 14 162 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 14 n n 5598315424 n (n - 1) (n - 5) 14365627133 n (n - 1) (n - 5) - ------------------------------- - --------------------------------- 2 n 2 14 2 n 2 14 3 (n - 1) (n ) (n - 5) 648 (n - 1) (n ) (n - 5) 11 n n 12 n n 68548455430 n (n - 1) (n - 5) 26956851376 n (n - 1) (n - 5) + --------------------------------- - --------------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 7 n n 10 n n 983285120 n (n - 1) (n - 5) 42763153466 n (n - 1) (n - 5) + ------------------------------ - --------------------------------- 2 n 2 14 2 n 2 14 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 6 n n 22 n 3 n 230630400 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) - ------------------------------ - --------------------------- 2 n 2 14 12 n 4 5 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 14 n ((n - 1) ) (n - 2) 58 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 6245 n ((n - 1) ) (n - 2) 40414 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 58612 n ((n - 1) ) (n - 2) 6064 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 3264 n ((n - 1) ) (n - 2) 768 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 38942 n ((n - 1) ) (n - 3) 23240 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 85900 n ((n - 1) ) (n - 3) 7696 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 3648 n ((n - 1) ) (n - 3) 768 n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 5 n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 10 n 3 5 10 n 3 5 36 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 101 n ((n - 1) ) (n - 3) 179 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 5633 n ((n - 1) ) (n - 3) 1699 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 935 n ((n - 1) ) (n - 2) 3717 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 14749 n ((n - 1) ) (n - 2) 177145 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 9 n 4 8 9 n 4 8 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 313270 n ((n - 1) ) (n - 2) 116716 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 9 n 4 8 9 n 4 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 24704 n ((n - 1) ) (n - 2) 6720 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 8 9 n 4 8 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 2 n 100 n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 3) - ---------------------------- - --------------------------- 9 n 4 8 7 n 3 8 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 674 n ((n - 1) ) (n - 3) 2270 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 14891 n ((n - 1) ) (n - 3) 22183 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 619772 n ((n - 1) ) (n - 3) 445040 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1953376 n ((n - 1) ) (n - 3) 615088 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 112256 n ((n - 1) ) (n - 3) 26880 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 18 n n n ((n - 1) ) (n - 3) n (n - 1) (n - 4) + ------------------------- - -------------------------- 7 n 3 8 5 n 2 8 9 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 4) 17 n n 16 n n 7 n (n - 1) (n - 4) 791 n (n - 1) (n - 4) + ------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 13 n n 12 n n n (n - 1) (n - 2) 19 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n n 10 n n 151 n (n - 1) (n - 2) 649 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 9 n n 8 n n 1624 n (n - 1) (n - 2) 2356 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 608 n (n - 1) (n - 2) 64 n (n - 1) (n - 2) - ------------------------- + ----------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 1472 n (n - 1) (n - 4) 21701 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 13 n n 12 n n 18537 n (n - 1) (n - 4) 1218713 n (n - 1) (n - 4) + --------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 11 n n 10 n n 532406 n (n - 1) (n - 4) 2979368 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 9 n n 8 n n 1284232 n (n - 1) (n - 4) 363672 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 181824 n (n - 1) (n - 4) 40320 n (n - 1) (n - 4) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 19 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 4 n 3 11 4 n 3 11 36 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 715 n ((n - 1) ) (n - 3) 1155 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 4 n 3 11 4 n 3 11 18 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 64691 n ((n - 1) ) (n - 3) 135289 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 4 n 3 11 4 n 3 11 12 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1305260 n ((n - 1) ) (n - 3) 1270280 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 4 n 3 11 4 n 3 11 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 7393144 n ((n - 1) ) (n - 3) 1003772 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 4 n 3 11 4 n 3 11 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 691280 n ((n - 1) ) (n - 3) 201600 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n n 17 n n n (n - 1) (n - 4) 10 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n n 15 n n 1601 n (n - 1) (n - 4) 4180 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 85481 n (n - 1) (n - 4) 99990 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 11 2 n 2 11 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 8873843 n (n - 1) (n - 4) 5151080 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 10 n n 9 n n 37651328 n (n - 1) (n - 4) 20808920 n (n - 1) (n - 4) - ------------------------------ + ----------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 7405192 n (n - 1) (n - 4) 4550880 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 25 n 4 n 1209600 n (n - 1) (n - 4) 3205 n ((n - 1) ) (n - 2) - ---------------------------- - ----------------------------- 2 n 2 11 20 n 5 2 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 14767 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 20 n 5 2 20 n 5 2 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 49169 n ((n - 1) ) (n - 2) 262903 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 20 n 5 2 20 n 5 2 81 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 260311 n ((n - 1) ) (n - 2) 376801 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 20 n 5 2 20 n 5 2 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 20 n 5 2 20 n 5 2 1296 (n - 1) (n ) (n - 2) 1296 (n - 1) (n ) (n - 2) 26 n 4 n 16 n 4 n 313 n ((n - 1) ) (n - 2) 4096 n ((n - 1) ) (n - 2) + ---------------------------- + ----------------------------- 20 n 5 2 20 n 5 2 648 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 4 n 18 n 4 n 256 n ((n - 1) ) (n - 2) 129040 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------- 20 n 5 2 20 n 5 2 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 17 n 4 n 27 n 4 n 3296 n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) - ----------------------------- - ---------------------------- 20 n 5 2 17 n 5 5 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 25 n 4 n 26 n 4 n 3205 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 28 n 4 n 22 n 4 n n ((n - 1) ) (n - 2) 393352 n ((n - 1) ) (n - 2) + ---------------------------- + ------------------------------- 17 n 5 5 17 n 5 5 162 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 24 n 4 n 18 n 4 n 14767 n ((n - 1) ) (n - 2) 1032320 n ((n - 1) ) (n - 2) + ------------------------------ + -------------------------------- 17 n 5 5 17 n 5 5 54 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 22 n 2 n 24 n 2 n 2167 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + ----------------------------- + ---------------------------- 7 n 3 11 7 n 3 11 162 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 23 n 2 n 21 n 2 n 23 n ((n - 1) ) (n - 4) 13691 n ((n - 1) ) (n - 4) - --------------------------- - ------------------------------ 7 n 3 11 7 n 3 11 54 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 525229 n ((n - 1) ) (n - 4) 1599437 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 7 n 3 11 7 n 3 11 162 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 32341661 n ((n - 1) ) (n - 4) 54573673 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 11 7 n 3 11 162 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 313688287 n ((n - 1) ) (n - 4) 303186356 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 7 n 3 11 7 n 3 11 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 14 n 2 n 1978299856 n ((n - 1) ) (n - 4) + ----------------------------------- 7 n 3 11 81 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 1055835368 n ((n - 1) ) (n - 4) 133724624 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 102311296 n ((n - 1) ) (n - 4) 15630080 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 7 n 3 11 7 n 3 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 17 n 4 n 3225600 n ((n - 1) ) (n - 4) 26368 n ((n - 1) ) (n - 2) - ------------------------------- - ------------------------------ 7 n 3 11 17 n 5 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 23 n 4 n 20 n 4 n 72707 n ((n - 1) ) (n - 2) 2082488 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------------- 17 n 5 5 17 n 5 5 54 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 1051612 n ((n - 1) ) (n - 2) 32768 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------ 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 3014408 n ((n - 1) ) (n - 2) 2048 n ((n - 1) ) (n - 2) - -------------------------------- - ----------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 1196564 n ((n - 1) ) (n - 3) 4562888 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 1388288 n ((n - 1) ) (n - 3) 95488 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 35840 n ((n - 1) ) (n - 3) 2048 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 15 n 4 5 15 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 1277 n ((n - 1) ) (n - 3) 57121 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 15 n 4 5 15 n 4 5 54 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 102241 n ((n - 1) ) (n - 3) 611473 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 306386 n ((n - 1) ) (n - 3) 2092856 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 15 n 4 5 15 n 4 5 324 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 24 n 3 n 28 n 4 n 175 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 15 n 4 5 14 n 5 8 81 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 23 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 14 n 5 8 14 n 5 8 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 2553377 n ((n - 1) ) (n - 2) 1008661 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 216 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 2342060 n ((n - 1) ) (n - 2) 3942542 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 1556986 n ((n - 1) ) (n - 2) 136376 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 14 n 5 8 14 n 5 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 63968 n ((n - 1) ) (n - 2) 13440 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 2999 n ((n - 1) ) (n - 2) 11159 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 8 14 n 5 8 54 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 3 n 99013 n ((n - 1) ) (n - 2) 124423 n ((n - 1) ) (n - 3) - ------------------------------ - ------------------------------- 14 n 5 8 12 n 4 8 36 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 3) 21 n 3 n 26 n 3 n 66245 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 4 n ((n - 1) ) (n - 3) 1051 n ((n - 1) ) (n - 3) + -------------------------- - ----------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 3741533 n ((n - 1) ) (n - 3) 2196007 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 108 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 8718764 n ((n - 1) ) (n - 3) 639012 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 27 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 25112084 n ((n - 1) ) (n - 3) 8682712 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 673440 n ((n - 1) ) (n - 3) 282752 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 53760 n ((n - 1) ) (n - 3) 773 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 5689 n ((n - 1) ) (n - 4) 166165 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 72 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 19 n 2 n 24 n 2 n 43267 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------ + ---------------------------- 10 n 3 8 10 n 3 8 8 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 17 n ((n - 1) ) (n - 4) 1195 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 72 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 6126353 n ((n - 1) ) (n - 4) 8133547 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 37201591 n ((n - 1) ) (n - 4) 7234936 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 108 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 38436028 n ((n - 1) ) (n - 4) 5632466 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 5351516 n ((n - 1) ) (n - 4) 1151536 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 451008 n ((n - 1) ) (n - 4) 80640 n ((n - 1) ) (n - 4) + ------------------------------- - ----------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 9 n 4 11 9 n 4 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 1969 n ((n - 1) ) (n - 3) 5861 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 11 9 n 4 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 419731 n ((n - 1) ) (n - 3) 589853 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 9 n 4 11 9 n 4 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 21724307 n ((n - 1) ) (n - 3) 16424683 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 4 11 9 n 4 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 82933070 n ((n - 1) ) (n - 3) 68660108 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 4 11 9 n 4 11 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 371208956 n ((n - 1) ) (n - 3) 156708728 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 43878208 n ((n - 1) ) (n - 3) 7277440 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 3 n 12 n 4 15 n 537600 n ((n - 1) ) (n - 3) 64 n ((n - 1) ) n (n - 4) - ------------------------------- - ------------------ + --------------- 9 n 4 11 14 n 4 n 11 (n - 1) (n ) (n - 3) (n - 1) (n ) 36 n (n - 4) 14 n 13 n 12 n 5 n (n - 4) 1601 n (n - 4) 2090 n (n - 4) - -------------- + ----------------- - ----------------- n 11 n 11 n 11 3 n (n - 4) 36 n (n - 4) 3 n (n - 4) 11 n 10 n 9 n 85481 n (n - 4) 49995 n (n - 4) 8873843 n (n - 4) + ------------------ - ------------------ + ------------------- n 11 n 11 n 11 12 n (n - 4) n (n - 4) 36 n (n - 4) 8 n 7 n 6 n 2575540 n (n - 4) 18825664 n (n - 4) 10404460 n (n - 4) - ------------------- + -------------------- - -------------------- n 11 n 11 n 11 3 n (n - 4) 9 n (n - 4) 3 n (n - 4) 5 n 4 n 3 n 3702596 n (n - 4) 2275440 n (n - 4) 604800 n (n - 4) + ------------------- - ------------------- + ------------------ n 11 n 11 n 11 n (n - 4) n (n - 4) n (n - 4) 15 n 5 11 n n 256 n ((n - 1) ) 317 n (n - 1) (n - 3) + ------------------- + ------------------------- 22 n 5 5 n 2 5 (n - 1) (n ) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 974 n (n - 1) (n - 3) 1868 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 6536 n (n - 1) (n - 3) 1408 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 6 n n 14 n n 128 n (n - 1) (n - 3) n (n - 1) (n - 3) - ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n n 12 n n 7 n (n - 1) (n - 3) 21 n (n - 1) (n - 3) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 7 n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 4 n 3 8 4 n 3 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1127 n ((n - 1) ) (n - 2) 3430 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 4 n 3 8 4 n 3 8 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 47383 n ((n - 1) ) (n - 2) 22981 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 4 n 3 8 4 n 3 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2541 n ((n - 1) ) (n - 2) 980 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n 7 n (n - 1) (n - 3) 35 n (n - 1) (n - 3) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 18 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n n 11 n n 147 n (n - 1) (n - 3) 3038 n (n - 1) (n - 3) - ------------------------- + -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 24941 n (n - 1) (n - 3) 31115 n (n - 1) (n - 3) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 137662 n (n - 1) (n - 3) 12124 n (n - 1) (n - 3) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n 2 n 3920 n (n - 1) (n - 3) 2 n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 2 n 2 8 7 n 3 5 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 38 n ((n - 1) ) (n - 2) 302 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 1298 n ((n - 1) ) (n - 2) 3248 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 4712 n ((n - 1) ) (n - 2) 1216 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 9 n 2 n 9 n 3 27 n 5 128 n ((n - 1) ) (n - 2) 4 n ((n - 1) ) n ((n - 1) ) - --------------------------- - ---------------- + -------------------- 7 n 3 5 9 n 3 22 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) 1296 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 n ((n - 1) ) 295 n ((n - 1) ) 485 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 22 n 5 22 n 5 22 n 5 36 (n - 1) (n ) 648 (n - 1) (n ) 108 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 12827 n ((n - 1) ) 2495 n ((n - 1) ) 75883 n ((n - 1) ) + --------------------- - -------------------- + --------------------- 22 n 5 22 n 5 22 n 5 432 (n - 1) (n ) 18 (n - 1) (n ) 162 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 10390 n ((n - 1) ) 166801 n ((n - 1) ) 70000 n ((n - 1) ) - --------------------- + ---------------------- - --------------------- 22 n 5 22 n 5 22 n 5 9 (n - 1) (n ) 81 (n - 1) (n ) 27 (n - 1) (n ) 17 n 5 16 n 5 10 n n 6560 n ((n - 1) ) 3328 n ((n - 1) ) n (n - 1) (n - 2) + -------------------- - -------------------- - ------------------------- 22 n 5 22 n 5 2 n 2 5 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) (n - 2) 9 n n 8 n n 10 n (n - 1) (n - 2) 35 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 50 n (n - 1) (n - 2) 8 n (n - 1) (n - 2) + ------------------------- - ----------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 5 15 n 13 n 384 n ((n - 1) ) 16 n (n - 5) 7871 n (n - 5) - ------------------- - --------------- - ----------------- 19 n 5 n 11 n 11 (n - 1) (n ) 9 n (n - 5) 9 n (n - 5) 14 n 16 n 10 n 1841 n (n - 5) n (n - 5) 16073123 n (n - 5) + ----------------- + --------------- + --------------------- n 11 n 11 n 11 36 n (n - 5) 36 n (n - 5) 36 n (n - 5) 12 n 6 n 5 n 118921 n (n - 5) 52725628 n (n - 5) 17085824 n (n - 5) + ------------------- + -------------------- - -------------------- n 11 n 11 n 11 12 n (n - 5) 3 n (n - 5) n (n - 5) 11 n 8 n 9 n 235466 n (n - 5) 49732144 n (n - 5) 16600463 n (n - 5) - ------------------- + -------------------- - -------------------- n 11 n 11 n 11 3 n (n - 5) 9 n (n - 5) 9 n (n - 5) 4 n 7 n 3 n 9706560 n (n - 5) 106516036 n (n - 5) 2419200 n (n - 5) + ------------------- - --------------------- - ------------------- n 11 n 11 n 11 n (n - 5) 9 n (n - 5) n (n - 5) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 3 n ((n - 1) ) 107 n ((n - 1) ) + ------------------ - ----------------- + ------------------- 19 n 5 19 n 5 19 n 5 36 (n - 1) (n ) 4 (n - 1) (n ) 12 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 245 n ((n - 1) ) 1607 n ((n - 1) ) 773 n ((n - 1) ) - ------------------- + -------------------- - ------------------- 19 n 5 19 n 5 19 n 5 4 (n - 1) (n ) 6 (n - 1) (n ) (n - 1) (n ) 18 n 5 17 n 5 16 n 5 13250 n ((n - 1) ) 1784 n ((n - 1) ) 1248 n ((n - 1) ) + --------------------- - -------------------- + -------------------- 19 n 5 19 n 5 19 n 5 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 18 n 6 18 n n 1280 n ((n - 1) ) 689521 n (n - 1) (n - 5) - -------------------- - ---------------------------- 24 n 6 5 n 2 11 (n - 1) (n ) 324 (n - 1) (n ) (n - 5) 16 n n 17 n n 51534905 n (n - 1) (n - 5) 6899227 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 19 n n 13 n n 49741 n (n - 1) (n - 5) 1082156108 n (n - 1) (n - 5) + ---------------------------- + -------------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 15 n n 9 n n 293087663 n (n - 1) (n - 5) 106201632 n (n - 1) (n - 5) + ------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 14 n n 228067712 n (n - 1) (n - 5) 641130325 n (n - 1) (n - 5) - ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 5) 11 n n 12 n n 5540352764 n (n - 1) (n - 5) 2808268064 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 5 n 2 11 5 n 2 11 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 7 n n 10 n n 32872960 n (n - 1) (n - 5) 2713431544 n (n - 1) (n - 5) + ----------------------------- - -------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 6 n n 21 n n 6451200 n (n - 1) (n - 5) 73 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 20 n n 22 n n 2443 n (n - 1) (n - 5) n (n - 1) (n - 5) - ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 6 (n - 2) n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n n 3 18 n 4 17 n 4 4 (n - 2) n n ((n - 1) ) 2 n ((n - 1) ) + ------------- - ----------------- + ----------------- 5 n 14 n 4 14 n 4 (n - 2) n 9 (n - 1) (n ) (n - 1) (n ) 16 n 4 15 n 4 14 n 4 133 n ((n - 1) ) 172 n ((n - 1) ) 1108 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 14 n 4 14 n 4 14 n 4 9 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 13 n 4 12 n 11 n 10 n 416 n ((n - 1) ) 7 n (n - 4) 77 n (n - 4) 91 n (n - 4) + ------------------- + -------------- - --------------- + --------------- 14 n 4 n 8 n 8 n 8 3 (n - 1) (n ) 36 n (n - 4) 12 n (n - 4) n (n - 4) 9 n 8 n 7 n 4361 n (n - 4) 43169 n (n - 4) 137053 n (n - 4) - ---------------- + ----------------- - ------------------ n 8 n 8 n 8 6 n (n - 4) 12 n (n - 4) 12 n (n - 4) 6 n 5 n 4 n 417697 n (n - 4) 87017 n (n - 4) 20146 n (n - 4) + ------------------ - ----------------- + ----------------- n 8 n 8 n 8 18 n (n - 4) 3 n (n - 4) n (n - 4) 3 n 20 n 19 n 5880 n (n - 4) n (n - 6) 35 n (n - 6) - ---------------- + ----------------- - ---------------- n 8 n 14 n 14 n (n - 4) 1296 n (n - 6) 432 n (n - 6) 17 n 18 n 12 n 3 4165 n (n - 6) 47 n (n - 6) n ((n - 1) ) - ----------------- + --------------- + ---------------- n 14 n 14 9 n 3 36 n (n - 6) 12 n (n - 6) 6 (n - 1) (n ) 11 n 3 10 n 3 8 n 7 n 3 n ((n - 1) ) 13 n ((n - 1) ) n (n - 3) 2 n (n - 3) - ----------------- + ------------------ + ------------- - ------------- 9 n 3 9 n 3 n 5 n 5 2 (n - 1) (n ) 3 (n - 1) (n ) 6 n (n - 3) n (n - 3) 6 n 5 n 4 n 3 n 55 n (n - 3) 20 n (n - 3) 62 n (n - 3) 8 n (n - 3) + -------------- - -------------- + -------------- - ------------- n 5 n 5 n 5 n 5 6 n (n - 3) n (n - 3) 3 n (n - 3) n (n - 3) 14 n n 13 n n 1135 n (n - 1) (n - 3) 14891 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n n 11 n n 22183 n (n - 1) (n - 3) 309886 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 222520 n (n - 1) (n - 3) 976688 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 307544 n (n - 1) (n - 3) 56128 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n n 13440 n (n - 1) (n - 3) n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 18 n n 17 n n 13691 n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 12 n n 11 n n 151593178 n (n - 1) (n - 4) 989149928 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 10 n n 9 n n 527917684 n (n - 1) (n - 4) 66862312 n (n - 1) (n - 4) + ------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 51155648 n (n - 1) (n - 4) 7815040 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n 1612800 n (n - 1) (n - 4) 2464735 n (n - 6) + ---------------------------- - -------------------- 5 n 2 11 n 14 (n - 1) (n ) (n - 4) 72 n (n - 6) 13 n 14 n 16 n 341916575 n (n - 6) 121893733 n (n - 6) 504797 n (n - 6) - ---------------------- + ---------------------- + ------------------- n 14 n 14 n 14 108 n (n - 6) 324 n (n - 6) 216 n (n - 6) 10 n 12 n 11137409621 n (n - 6) 2971219537 n (n - 6) + ------------------------ + ----------------------- n 14 n 14 27 n (n - 6) 144 n (n - 6) 6 n 5 n 6193456004 n (n - 6) 15470716240 n (n - 6) + ---------------------- - ----------------------- n 14 n 14 n (n - 6) 3 n (n - 6) 11 n 8 n 15068478425 n (n - 6) 235515868774 n (n - 6) - ------------------------ + ------------------------ n 14 n 14 144 n (n - 6) 81 n (n - 6) 9 n 4 n 11296261795 n (n - 6) 2573528000 n (n - 6) - ----------------------- + ---------------------- n 14 n 14 9 n (n - 6) n (n - 6) 7 n 3 n 19 n 135314062205 n (n - 6) 576576000 n (n - 6) n (n - 5) - ------------------------ - --------------------- + ----------------- n 14 n 14 n 14 27 n (n - 6) n (n - 6) 1296 n (n - 5) 17 n 18 n 15 n 286 n (n - 5) 25 n (n - 5) 1196741 n (n - 5) + ---------------- - ---------------- + -------------------- n 14 n 14 n 14 81 n (n - 5) 324 n (n - 5) 648 n (n - 5) 13 n 14 n 16 n 40698229 n (n - 5) 8099455 n (n - 5) 31765 n (n - 5) + --------------------- - -------------------- - ------------------ n 14 n 14 n 14 162 n (n - 5) 324 n (n - 5) 324 n (n - 5) 10 n 12 n 3986760635 n (n - 5) 618767435 n (n - 5) - ----------------------- - ---------------------- n 14 n 14 81 n (n - 5) 324 n (n - 5) 6 n 5 n 3156242060 n (n - 5) 2799157712 n (n - 5) - ---------------------- + ---------------------- n 14 n 14 3 n (n - 5) 3 n (n - 5) 11 n 8 n 14365627133 n (n - 5) 34274227715 n (n - 5) + ------------------------ - ----------------------- n 14 n 14 1296 n (n - 5) 81 n (n - 5) 9 n 4 n 13478425688 n (n - 5) 491642560 n (n - 5) + ----------------------- - --------------------- n 14 n 14 81 n (n - 5) n (n - 5) 7 n 3 n 21381576733 n (n - 5) 115315200 n (n - 5) + ----------------------- + --------------------- n 14 n 14 27 n (n - 5) n (n - 5) 19 n 2 n 18 n 2 n 124423 n ((n - 1) ) (n - 3) 66245 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 23 n 2 n 22 n 2 n n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 3) + ---------------------------- - -------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 21 n 2 n 17 n 2 n 1051 n ((n - 1) ) (n - 3) 3741533 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 2196007 n ((n - 1) ) (n - 3) 4359382 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 319506 n ((n - 1) ) (n - 3) 12556042 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 4341356 n ((n - 1) ) (n - 3) 336720 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 141376 n ((n - 1) ) (n - 3) 26880 n ((n - 1) ) (n - 3) - ------------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 30 n 6 29 n 6 773 n ((n - 1) ) (n - 3) 5 n ((n - 1) ) 5 n ((n - 1) ) - ---------------------------- - -------------------- + ------------------ 10 n 3 8 24 n 6 24 n 6 12 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) 36 (n - 1) (n ) 28 n 6 27 n 6 26 n 6 1475 n ((n - 1) ) 2425 n ((n - 1) ) 64135 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 24 n 6 24 n 6 24 n 6 648 (n - 1) (n ) 108 (n - 1) (n ) 432 (n - 1) (n ) 25 n 6 24 n 6 23 n 6 12475 n ((n - 1) ) 379415 n ((n - 1) ) 51950 n ((n - 1) ) + --------------------- - ---------------------- + --------------------- 24 n 6 24 n 6 24 n 6 18 (n - 1) (n ) 162 (n - 1) (n ) 9 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 834005 n ((n - 1) ) 350000 n ((n - 1) ) 32800 n ((n - 1) ) - ---------------------- + ---------------------- - --------------------- 24 n 6 24 n 6 24 n 6 81 (n - 1) (n ) 27 (n - 1) (n ) 3 (n - 1) (n ) 19 n 6 19 n n 16640 n ((n - 1) ) 2167 n (n - 1) (n - 4) + --------------------- - ---------------------------- 24 n 6 5 n 2 11 3 (n - 1) (n ) 324 (n - 1) (n ) (n - 4) 21 n n 20 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 10 n 3 5 10 n 3 5 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 20207 n ((n - 1) ) (n - 2) 29306 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 3032 n ((n - 1) ) (n - 2) 1632 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n n 384 n ((n - 1) ) (n - 2) 13 n (n - 1) (n - 3) + --------------------------- + ------------------------- 10 n 3 5 5 n 2 8 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 3) 15 n n 11 n 10 n 337 n (n - 1) (n - 3) 7 n (n - 3) 35 n (n - 3) - ------------------------- + -------------- - --------------- 5 n 2 8 n 8 n 8 9 (n - 1) (n ) (n - 3) 36 n (n - 3) 6 n (n - 3) 9 n 8 n 7 n 147 n (n - 3) 1519 n (n - 3) 24941 n (n - 3) + --------------- - ---------------- + ----------------- n 8 n 8 n 8 2 n (n - 3) 3 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 31115 n (n - 3) 68831 n (n - 3) 6062 n (n - 3) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 6 n (n - 3) 9 n (n - 3) n (n - 3) 3 n 24 n 3 n 1960 n (n - 3) 37 n ((n - 1) ) (n - 2) + ---------------- + ---------------------------- n 8 15 n 4 5 n (n - 3) 324 (n - 1) (n ) (n - 2) 22 n 3 n 23 n 3 n 3205 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 162 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 25 n 3 n 19 n 3 n n ((n - 1) ) (n - 2) 196676 n ((n - 1) ) (n - 2) - ---------------------------- - ------------------------------- 15 n 4 5 15 n 4 5 324 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 21 n 3 n 15 n 3 n 14767 n ((n - 1) ) (n - 2) 516160 n ((n - 1) ) (n - 2) - ------------------------------ - ------------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 14 n 3 n 20 n 3 n 13184 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) + ------------------------------ + ------------------------------ 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 1041244 n ((n - 1) ) (n - 2) 525806 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 16384 n ((n - 1) ) (n - 2) 1507204 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------------- 15 n 4 5 15 n 4 5 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 12 n 3 n 1024 n ((n - 1) ) (n - 2) + ----------------------------- 15 n 4 5 (n - 1) (n ) (n - 2) and in Maple notation -2/27*n^23*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14+1/1296*n^24*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14-9191/108*n^21*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 4)^n/(n-4)^14-2049047/108*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14+ 976157/648*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14+262/81*n^22*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14+8101053389/1296*n^16*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-4)^n/(n-4)^14+28403947/162*n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n /(n-4)^14+211935851*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14-613011848 /3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14-130511953/108*n^17*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14+5632436537/81*n^14*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-4)^n/(n-4)^14-2615329717/108*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/ (n-4)^14+115703440*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14-3914827189 /27*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14-28828800*n^9*((n-1)^n)^2/ (n-1)^4/(n^n)^3*(n-4)^n/(n-4)^14-1/648*n^22*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-\ 5)^14-572/81*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+25/162*n^21*(n-1)^n/ (n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-1196741/324*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-5) ^n/(n-5)^14-40698229/81*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+8099455/ 162*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+31765/162*n^19*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-5)^n/(n-5)^14+7973521270/81*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/( n-5)^14+618767435/162*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+6312484120/ 3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-5598315424/3*n^8*(n-1)^n/(n-1)^2 /(n^n)^2*(n-5)^n/(n-5)^14-14365627133/648*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/ (n-5)^14+68548455430/81*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-\ 26956851376/81*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+983285120*n^7*(n-1 )^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-42763153466/27*n^10*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-5)^n/(n-5)^14-230630400*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-1/18* n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+14/9*n^21*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^5-58/3*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2) ^5+421/3*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-3949/6*n^18*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+6245/3*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*( n-2)^n/(n-2)^5-40414/9*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+58612/ 9*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-6064*n^14*((n-1)^n)^3/(n-1) ^12/(n^n)^4*(n-2)^n/(n-2)^5+3264*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2 )^5-768*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+38942/9*n^14*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-23240/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-3)^n/(n-3)^5+85900/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-7696* n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+3648*n^10*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^5-768*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5 +1/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5/6*n^19*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-3)^n/(n-3)^5+101/9*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^5-179/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+5633/12*n^16*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-1699*n^15*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-3)^n/(n-3)^5+935/3*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-3717/ 2*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+14749/2*n^17*((n-1)^n)^3/(n-\ 1)^9/(n^n)^4*(n-2)^n/(n-2)^8-177145/9*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/ (n-2)^8+313270/9*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-116716/3*n^14 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+24704*n^13*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-2)^n/(n-2)^8-6720*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-1/18 *n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+37/18*n^21*((n-1)^n)^3/(n-1)^ 9/(n^n)^4*(n-2)^n/(n-2)^8-100/3*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^ 8-13/3*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+674/9*n^18*((n-1)^n)^2/ (n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-2270/3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n /(n-3)^8+14891/3*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-22183*n^15*(( n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+619772/9*n^14*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-3)^n/(n-3)^8-445040/3*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+ 1953376/9*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-615088/3*n^11*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+112256*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-3)^n/(n-3)^8-26880*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+1/9*n^20*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-1/18*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^8+7/3*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-791/18*n^16*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n -2)^5+19/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-151/9*n^11*(n-1)^n/(n-1 )^5/(n^n)^2*(n-2)^n/(n-2)^5+649/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-\ 1624/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+2356/9*n^8*(n-1)^n/(n-1)^5/( n^n)^2*(n-2)^n/(n-2)^5-608/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+64*n^6 *(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+1472/3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^8-21701/6*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+18537*n^13*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1218713/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^8+532406/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-2979368/9 *n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1284232/3*n^9*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^8-363672*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+181824* n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-40320*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^8+1/36*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-19/12*n^ 19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11+715/18*n^18*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-3)^n/(n-3)^11-1155/2*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3) ^11+64691/12*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-135289/4*n^15*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11+1305260/9*n^14*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-3)^n/(n-3)^11-1270280/3*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3 )^11+7393144/9*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-1003772*n^11*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11+691280*n^10*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-3)^n/(n-3)^11-201600*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^11-1 /18*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+10/3*n^17*(n-1)^n/(n-1)^2/(n^ n)^2*(n-4)^n/(n-4)^11-1601/18*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+ 4180/3*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-85481/6*n^14*(n-1)^n/(n-1) ^2/(n^n)^2*(n-4)^n/(n-4)^11+99990*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11 -8873843/18*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+5151080/3*n^11*(n-1)^ n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-37651328/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4 )^n/(n-4)^11+20808920/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-7405192*n^ 8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+4550880*n^7*(n-1)^n/(n-1)^2/(n^n)^2* (n-4)^n/(n-4)^11-1209600*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-3205/648* n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+14767/432*n^24*((n-1)^n)^4/(n -1)^20/(n^n)^5*(n-2)^n/(n-2)^2-72707/432*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2 )^n/(n-2)^2+49169/81*n^22*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-262903/ 162*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+260311/81*n^20*((n-1)^n)^ 4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-376801/81*n^19*((n-1)^n)^4/(n-1)^20/(n^n)^5* (n-2)^n/(n-2)^2+1/1296*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-37/ 1296*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+313/648*n^26*((n-1)^n)^4 /(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+4096/3*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2 )^n/(n-2)^2-256*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+129040/27*n^ 18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-3296*n^17*((n-1)^n)^4/(n-1)^20/ (n^n)^5*(n-2)^n/(n-2)^2-37/162*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^ 5-3205/81*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+313/81*n^26*((n-1)^ n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+1/162*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5*( n-2)^n/(n-2)^5+393352/81*n^22*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+ 14767/54*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+1032320/27*n^18*((n-\ 1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+2167/162*n^22*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-4)^n/(n-4)^11+1/162*n^24*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-23 /54*n^23*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-13691/54*n^21*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+525229/162*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-4)^n/(n-4)^11-1599437/54*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+ 32341661/162*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-54573673/54*n^17 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+313688287/81*n^16*((n-1)^n)^2/(n-\ 1)^7/(n^n)^3*(n-4)^n/(n-4)^11-303186356/27*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 4)^n/(n-4)^11+1978299856/81*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-\ 1055835368/27*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+133724624/3*n^ 12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-102311296/3*n^11*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-4)^n/(n-4)^11+15630080*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^ n/(n-4)^11-3225600*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-26368*n^17* ((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5-72707/54*n^23*((n-1)^n)^4/(n-1)^17 /(n^n)^5*(n-2)^n/(n-2)^5+2082488/81*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/( n-2)^5-1051612/81*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+32768/3*n^ 16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5-3014408/81*n^19*((n-1)^n)^4/(n-\ 1)^17/(n^n)^5*(n-2)^n/(n-2)^5-2048*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n -2)^5+1196564/27*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-4562888/81*n ^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5+1388288/27*n^15*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-3)^n/(n-3)^5-95488/3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^ n/(n-3)^5+35840/3*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-2048*n^12*( (n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5+1277/54*n^23*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-3)^n/(n-3)^5-57121/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3 )^5+102241/108*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-611473/162*n^ 20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5+306386/27*n^19*((n-1)^n)^3/(n-1 )^15/(n^n)^4*(n-3)^n/(n-3)^5-2092856/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3) ^n/(n-3)^5-1/324*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5+13/108*n^25* ((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-175/81*n^24*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-3)^n/(n-3)^5+1/216*n^28*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-\ 23/108*n^27*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+959/216*n^26*((n-1)^n) ^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+2553377/216*n^22*((n-1)^n)^4/(n-1)^14/(n^n) ^5*(n-2)^n/(n-2)^8-1008661/27*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8 +2342060/27*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-3942542/27*n^19*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+1556986/9*n^18*((n-1)^n)^4/(n-1)^14 /(n^n)^5*(n-2)^n/(n-2)^8-136376*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2) ^8+63968*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-13440*n^15*((n-1)^n) ^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-2999/54*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*( n-2)^n/(n-2)^8+11159/24*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-99013 /36*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-124423/108*n^22*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+66245/9*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*( n-3)^n/(n-3)^8-1/108*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+4/9*n^25 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-1051/108*n^24*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-3)^n/(n-3)^8-3741533/108*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^ n/(n-3)^8+2196007/18*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-8718764/ 27*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+639012*n^17*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-3)^n/(n-3)^8-25112084/27*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n -3)^n/(n-3)^8+8682712/9*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-\ 673440*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+282752*n^13*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-53760*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3 )^n/(n-3)^8+773/6*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-5689/72*n^ 21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+166165/216*n^20*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-4)^n/(n-4)^8-43267/8*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n /(n-4)^8+1/216*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-17/72*n^23*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+1195/216*n^22*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-4)^n/(n-4)^8+6126353/216*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-\ 4)^8-8133547/72*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+37201591/108* n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-7234936/9*n^15*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-4)^n/(n-4)^8+38436028/27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -4)^n/(n-4)^8-5632466/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+ 5351516/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-1151536*n^11*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+451008*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-4)^n/(n-4)^8-80640*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-1/324*n ^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+11/54*n^25*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-3)^n/(n-3)^11-1969/324*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-\ 3)^11+5861/54*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-419731/324*n^22 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+589853/54*n^21*((n-1)^n)^3/(n-1)^ 9/(n^n)^4*(n-3)^n/(n-3)^11-21724307/324*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^ n/(n-3)^11+16424683/54*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-\ 82933070/81*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+68660108/27*n^17* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-371208956/81*n^16*((n-1)^n)^3/(n-1 )^9/(n^n)^4*(n-3)^n/(n-3)^11+156708728/27*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3 )^n/(n-3)^11-43878208/9*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+ 7277440/3*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-537600*n^12*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-64*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/36 /(n^n)*n^15*(n-4)^n/(n-4)^11-5/3/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/36/(n^n)*n^13 *(n-4)^n/(n-4)^11-2090/3/(n^n)*n^12*(n-4)^n/(n-4)^11+85481/12/(n^n)*n^11*(n-4)^ n/(n-4)^11-49995/(n^n)*n^10*(n-4)^n/(n-4)^11+8873843/36/(n^n)*n^9*(n-4)^n/(n-4) ^11-2575540/3/(n^n)*n^8*(n-4)^n/(n-4)^11+18825664/9/(n^n)*n^7*(n-4)^n/(n-4)^11-\ 10404460/3/(n^n)*n^6*(n-4)^n/(n-4)^11+3702596/(n^n)*n^5*(n-4)^n/(n-4)^11-\ 2275440/(n^n)*n^4*(n-4)^n/(n-4)^11+604800/(n^n)*n^3*(n-4)^n/(n-4)^11+256*n^15*( (n-1)^n)^5/(n-1)^22/(n^n)^5+317/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-\ 974/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+1868/3*n^9*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^5-6536/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+1408/ 3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-128*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^5-1/9*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+7/3*n^13*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-21*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^5+7/36*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-49/9*n^15*((n-1)^n)^2/ (n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8+1127/18*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^ n/(n-2)^8-3430/9*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8+47383/36*n^12 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-22981/9*n^11*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-2)^n/(n-2)^8+2541*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-\ 980*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^8-7/18*n^14*(n-1)^n/(n-1)^2/( n^n)^2*(n-3)^n/(n-3)^8+35/3*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-147*n^ 12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+3038/3*n^11*(n-1)^n/(n-1)^2/(n^n)^2* (n-3)^n/(n-3)^8-24941/6*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+31115/3*n^ 9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-137662/9*n^8*(n-1)^n/(n-1)^2/(n^n)^2* (n-3)^n/(n-3)^8+12124*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-3920*n^6*(n-1 )^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+2/9*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^ n/(n-2)^5-38/9*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+302/9*n^14*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1298/9*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-2)^n/(n-2)^5+3248/9*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-4712/9 *n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1216/3*n^10*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-2)^n/(n-2)^5-128*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-\ 4*n^9*((n-1)^n)^3/(n-1)^9/(n^n)^3+1/1296*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^5-1/36 *n^26*((n-1)^n)^5/(n-1)^22/(n^n)^5+295/648*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^5-\ 485/108*n^24*((n-1)^n)^5/(n-1)^22/(n^n)^5+12827/432*n^23*((n-1)^n)^5/(n-1)^22/( n^n)^5-2495/18*n^22*((n-1)^n)^5/(n-1)^22/(n^n)^5+75883/162*n^21*((n-1)^n)^5/(n-\ 1)^22/(n^n)^5-10390/9*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^5+166801/81*n^19*((n-1)^n )^5/(n-1)^22/(n^n)^5-70000/27*n^18*((n-1)^n)^5/(n-1)^22/(n^n)^5+6560/3*n^17*((n -1)^n)^5/(n-1)^22/(n^n)^5-3328/3*n^16*((n-1)^n)^5/(n-1)^22/(n^n)^5-1/3*n^10*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+10/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/( n-2)^5-35/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+50/3*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-2)^n/(n-2)^5-8*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-384*n^ 15*((n-1)^n)^5/(n-1)^19/(n^n)^5-16/9/(n^n)*n^15*(n-5)^n/(n-5)^11-7871/9/(n^n)*n ^13*(n-5)^n/(n-5)^11+1841/36/(n^n)*n^14*(n-5)^n/(n-5)^11+1/36/(n^n)*n^16*(n-5)^ n/(n-5)^11+16073123/36/(n^n)*n^10*(n-5)^n/(n-5)^11+118921/12/(n^n)*n^12*(n-5)^n /(n-5)^11+52725628/3/(n^n)*n^6*(n-5)^n/(n-5)^11-17085824/(n^n)*n^5*(n-5)^n/(n-5 )^11-235466/3/(n^n)*n^11*(n-5)^n/(n-5)^11+49732144/9/(n^n)*n^8*(n-5)^n/(n-5)^11 -16600463/9/(n^n)*n^9*(n-5)^n/(n-5)^11+9706560/(n^n)*n^4*(n-5)^n/(n-5)^11-\ 106516036/9/(n^n)*n^7*(n-5)^n/(n-5)^11-2419200/(n^n)*n^3*(n-5)^n/(n-5)^11+1/36* n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5-3/4*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+107/12* n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5-245/4*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+1607/ 6*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^5-773*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+13250 /9*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^5-1784*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5+ 1248*n^16*((n-1)^n)^5/(n-1)^19/(n^n)^5-1280*n^18*((n-1)^n)^6/(n-1)^24/(n^n)^6-\ 689521/324*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-51534905/324*n^16*(n-1 )^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+6899227/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*( n-5)^n/(n-5)^11+49741/324*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+ 1082156108/81*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+293087663/324*n^15* (n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+106201632*n^9*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^11-228067712/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 641130325/162*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+5540352764/81*n^11* (n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-2808268064/81*n^12*(n-1)^n/(n-1)^5/(n^ n)^2*(n-5)^n/(n-5)^11+32872960*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 2713431544/27*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-6451200*n^6*(n-1)^n /(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+73/324*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/( n-5)^11-2443/324*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1/324*n^22*(n-1) ^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/( n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+ 4*(n-2)^n/(n-2)^5/(n^n)*n^3-1/9*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+2*n^17*((n-1) ^n)^4/(n-1)^14/(n^n)^4-133/9*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+172/3*n^15*((n-1 )^n)^4/(n-1)^14/(n^n)^4-1108/9*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+416/3*n^13*((n -1)^n)^4/(n-1)^14/(n^n)^4+7/36/(n^n)*n^12*(n-4)^n/(n-4)^8-77/12/(n^n)*n^11*(n-4 )^n/(n-4)^8+91/(n^n)*n^10*(n-4)^n/(n-4)^8-4361/6/(n^n)*n^9*(n-4)^n/(n-4)^8+ 43169/12/(n^n)*n^8*(n-4)^n/(n-4)^8-137053/12/(n^n)*n^7*(n-4)^n/(n-4)^8+417697/ 18/(n^n)*n^6*(n-4)^n/(n-4)^8-87017/3/(n^n)*n^5*(n-4)^n/(n-4)^8+20146/(n^n)*n^4* (n-4)^n/(n-4)^8-5880/(n^n)*n^3*(n-4)^n/(n-4)^8+1/1296/(n^n)*n^20*(n-6)^n/(n-6)^ 14-35/432/(n^n)*n^19*(n-6)^n/(n-6)^14-4165/36/(n^n)*n^17*(n-6)^n/(n-6)^14+47/12 /(n^n)*n^18*(n-6)^n/(n-6)^14+1/6*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^3-3/2*n^11*((n-\ 1)^n)^3/(n-1)^9/(n^n)^3+13/3*n^10*((n-1)^n)^3/(n-1)^9/(n^n)^3+1/6/(n^n)*n^8*(n-\ 3)^n/(n-3)^5-2/(n^n)*n^7*(n-3)^n/(n-3)^5+55/6/(n^n)*n^6*(n-3)^n/(n-3)^5-20/(n^n )*n^5*(n-3)^n/(n-3)^5+62/3/(n^n)*n^4*(n-3)^n/(n-3)^5-8/(n^n)*n^3*(n-3)^n/(n-3)^ 5+1135/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14891/6*n^13*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^8+22183/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 8-309886/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+222520/3*n^10*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-976688/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^8+307544/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-56128*n^7*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^8+13440*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-\ 1/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+13691/108*n^18*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-4)^n/(n-4)^11-525229/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^11+1599437/108*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/324*n^ 15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673/108*n^14*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^11-313688287/162*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^11+151593178/27*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-989149928/81*n^ 11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+527917684/27*n^10*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^11-66862312/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11 +51155648/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-7815040*n^7*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^11+1612800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^11-2464735/72/(n^n)*n^15*(n-6)^n/(n-6)^14-341916575/108/(n^n)*n^13*(n-6)^n/(n -6)^14+121893733/324/(n^n)*n^14*(n-6)^n/(n-6)^14+504797/216/(n^n)*n^16*(n-6)^n/ (n-6)^14+11137409621/27/(n^n)*n^10*(n-6)^n/(n-6)^14+2971219537/144/(n^n)*n^12*( n-6)^n/(n-6)^14+6193456004/(n^n)*n^6*(n-6)^n/(n-6)^14-15470716240/3/(n^n)*n^5*( n-6)^n/(n-6)^14-15068478425/144/(n^n)*n^11*(n-6)^n/(n-6)^14+235515868774/81/(n^ n)*n^8*(n-6)^n/(n-6)^14-11296261795/9/(n^n)*n^9*(n-6)^n/(n-6)^14+2573528000/(n^ n)*n^4*(n-6)^n/(n-6)^14-135314062205/27/(n^n)*n^7*(n-6)^n/(n-6)^14-576576000/(n ^n)*n^3*(n-6)^n/(n-6)^14+1/1296/(n^n)*n^19*(n-5)^n/(n-5)^14+286/81/(n^n)*n^17*( n-5)^n/(n-5)^14-25/324/(n^n)*n^18*(n-5)^n/(n-5)^14+1196741/648/(n^n)*n^15*(n-5) ^n/(n-5)^14+40698229/162/(n^n)*n^13*(n-5)^n/(n-5)^14-8099455/324/(n^n)*n^14*(n-\ 5)^n/(n-5)^14-31765/324/(n^n)*n^16*(n-5)^n/(n-5)^14-3986760635/81/(n^n)*n^10*(n -5)^n/(n-5)^14-618767435/324/(n^n)*n^12*(n-5)^n/(n-5)^14-3156242060/3/(n^n)*n^6 *(n-5)^n/(n-5)^14+2799157712/3/(n^n)*n^5*(n-5)^n/(n-5)^14+14365627133/1296/(n^n )*n^11*(n-5)^n/(n-5)^14-34274227715/81/(n^n)*n^8*(n-5)^n/(n-5)^14+13478425688/ 81/(n^n)*n^9*(n-5)^n/(n-5)^14-491642560/(n^n)*n^4*(n-5)^n/(n-5)^14+21381576733/ 27/(n^n)*n^7*(n-5)^n/(n-5)^14+115315200/(n^n)*n^3*(n-5)^n/(n-5)^14+124423/216*n ^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-66245/18*n^18*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^8+1/216*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n -3)^8-2/9*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+1051/216*n^21*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+3741533/216*n^17*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-3)^n/(n-3)^8-2196007/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-\ 3)^8+4359382/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-319506*n^14*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+12556042/27*n^13*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^8-4341356/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^8+336720*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-141376*n^10*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+26880*n^9*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-3)^n/(n-3)^8-773/12*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-5/ 1296*n^30*((n-1)^n)^6/(n-1)^24/(n^n)^6+5/36*n^29*((n-1)^n)^6/(n-1)^24/(n^n)^6-\ 1475/648*n^28*((n-1)^n)^6/(n-1)^24/(n^n)^6+2425/108*n^27*((n-1)^n)^6/(n-1)^24/( n^n)^6-64135/432*n^26*((n-1)^n)^6/(n-1)^24/(n^n)^6+12475/18*n^25*((n-1)^n)^6/(n -1)^24/(n^n)^6-379415/162*n^24*((n-1)^n)^6/(n-1)^24/(n^n)^6+51950/9*n^23*((n-1) ^n)^6/(n-1)^24/(n^n)^6-834005/81*n^22*((n-1)^n)^6/(n-1)^24/(n^n)^6+350000/27*n^ 21*((n-1)^n)^6/(n-1)^24/(n^n)^6-32800/3*n^20*((n-1)^n)^6/(n-1)^24/(n^n)^6+16640 /3*n^19*((n-1)^n)^6/(n-1)^24/(n^n)^6-2167/324*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^11-1/324*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+23/108*n^20*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+1/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-2)^n/(n-2)^5-7/9*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+29/3*n^17* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-421/6*n^16*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-2)^n/(n-2)^5+3949/12*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5 -6245/6*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+20207/9*n^13*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-29306/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^5+3032*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-1632*n^ 10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+384*n^9*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-2)^n/(n-2)^5+13/6*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-337/9*n ^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+7/36/(n^n)*n^11*(n-3)^n/(n-3)^8-35/ 6/(n^n)*n^10*(n-3)^n/(n-3)^8+147/2/(n^n)*n^9*(n-3)^n/(n-3)^8-1519/3/(n^n)*n^8*( n-3)^n/(n-3)^8+24941/12/(n^n)*n^7*(n-3)^n/(n-3)^8-31115/6/(n^n)*n^6*(n-3)^n/(n-\ 3)^8+68831/9/(n^n)*n^5*(n-3)^n/(n-3)^8-6062/(n^n)*n^4*(n-3)^n/(n-3)^8+1960/(n^n )*n^3*(n-3)^n/(n-3)^8+37/324*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+ 3205/162*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-313/162*n^23*((n-1)^ n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-1/324*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*( n-2)^n/(n-2)^5-196676/81*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-\ 14767/108*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-516160/27*n^15*((n-\ 1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+13184*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^ 4*(n-2)^n/(n-2)^5+72707/108*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-\ 1041244/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+525806/81*n^18*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-16384/3*n^13*((n-1)^n)^3/(n-1)^15/(n^ n)^4*(n-2)^n/(n-2)^5+1507204/81*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2) ^5+1024*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5 The, 3, 1, mixed moment of, X[1], and , X[4], is 13 n 2 n 12 n 2 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) ------------------------- - -------------------------- 7 n 3 2 7 n 3 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 35 n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 7 n 3 2 7 n 3 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 12 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + -------------------------- - ------------------------- 7 n 3 2 5 n 2 2 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 3) 10 n n 9 n n 2 n (n - 1) (n - 3) 55 n (n - 1) (n - 3) + ----------------------- - ------------------------- 5 n 2 2 5 n 2 2 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 8 n n 7 n n 20 n (n - 1) (n - 3) 62 n (n - 1) (n - 3) + ----------------------- - ------------------------- 5 n 2 2 5 n 2 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 6 n n 13 n 2 n 8 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) + ----------------------- + ------------------------- 5 n 2 2 4 n 3 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 5 n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 25 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n n (n - 1) (n - 3) 6 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 5 2 n 2 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 55 n (n - 1) (n - 3) 60 n (n - 1) (n - 3) - ------------------------- + ----------------------- 2 n 2 5 2 n 2 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 6 n 2 62 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) 4 n ((n - 1) ) - ----------------------- + ----------------------- + ---------------- 2 n 2 5 2 n 2 5 7 n 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) (n - 1) (n ) 9 n 3 10 n n 9 n n 12 n ((n - 1) ) n (n - 1) (n - 2) 5 n (n - 1) (n - 2) - ----------------- - ------------------------- + ----------------------- 9 n 3 5 n 2 2 5 n 2 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 35 n (n - 1) (n - 2) 25 n (n - 1) (n - 2) - ------------------------- + ----------------------- 5 n 2 2 5 n 2 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 10 n n 12 n (n - 1) (n - 2) n (n - 1) (n - 2) - ----------------------- - ------------------------- 5 n 2 2 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 5 n (n - 1) (n - 2) 35 n (n - 1) (n - 2) + ----------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n 2 25 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) n ((n - 1) ) + ----------------------- - ----------------------- - ---------------- 2 n 2 5 2 n 2 5 7 n 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 (n - 1) (n ) 8 n 2 7 n 2 n 7 n 6 3 n ((n - 1) ) 13 n ((n - 1) ) (n - 2) n 5 (n - 2) n + ---------------- - ----------------- + ------------- - ------------- 7 n 2 7 n 2 5 n 5 n 2 (n - 1) (n ) 3 (n - 1) (n ) 6 (n - 2) n 3 (n - 2) n n 5 n 4 n 3 12 n 3 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n n ((n - 1) ) + -------------- - -------------- + ------------- + ---------------- 5 n 5 n 5 n 9 n 3 6 (n - 2) n 3 (n - 2) n (n - 2) n 2 (n - 1) (n ) 11 n 3 10 n 3 8 n 7 n 9 n ((n - 1) ) 13 n ((n - 1) ) n (n - 3) 6 n (n - 3) - ----------------- + ------------------ + ------------- - ------------- 9 n 3 9 n 3 n 5 n 5 2 (n - 1) (n ) (n - 1) (n ) 2 n (n - 3) n (n - 3) 6 n 5 n 4 n 3 n 55 n (n - 3) 60 n (n - 3) 62 n (n - 3) 24 n (n - 3) + -------------- - -------------- + -------------- - -------------- n 5 n 5 n 5 n 5 2 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 15 n 4 14 n 4 13 n 4 n ((n - 1) ) 9 n ((n - 1) ) 13 n ((n - 1) ) - ----------------- + ----------------- - ------------------ 11 n 4 11 n 4 11 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 9 n 8 n 7 n 6 n n (n - 4) 5 n (n - 4) 91 n (n - 4) 95 n (n - 4) + ------------- - ------------- + -------------- - -------------- n 5 n 5 n 5 n 5 6 n (n - 4) 2 n (n - 4) 6 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 12 n 4 242 n (n - 4) 70 n (n - 4) 24 n (n - 4) 12 n ((n - 1) ) + --------------- - -------------- + -------------- + ------------------ n 5 n 5 n 5 11 n 4 3 n (n - 4) n (n - 4) n (n - 4) (n - 1) (n ) and in Maple notation 1/2*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^2-5*n^12*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-2)^n/(n-2)^2+35/2*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^2-\ 25*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^2+12*n^9*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-2)^n/(n-2)^2-1/6*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2+2*n^10 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2-55/6*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^2+20*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2-62/3*n^7*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^2+8*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2+1/2*n ^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-5*n^12*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-2)^n/(n-2)^5+35/2*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-25*n^ 10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+12*n^9*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-2)^n/(n-2)^5-1/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+6*n^10*(n-1 )^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-55/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n -3)^5+60*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-62*n^7*(n-1)^n/(n-1)^2/(n^ n)^2*(n-3)^n/(n-3)^5+24*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+4*n^6*((n-1 )^n)^2/(n-1)^7/(n^n)^2-12*n^9*((n-1)^n)^3/(n-1)^9/(n^n)^3-1/2*n^10*(n-1)^n/(n-1 )^5/(n^n)^2*(n-2)^n/(n-2)^2+5*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2-35/2* n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2+25*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2 )^n/(n-2)^2-12*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2-1/2*n^10*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-2)^n/(n-2)^5+5*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-35/2 *n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+25*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 2)^n/(n-2)^5-12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-1/6*n^9*((n-1)^n)^2 /(n-1)^7/(n^n)^2+3/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-13/3*n^7*((n-1)^n)^2/(n-1) ^7/(n^n)^2+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-\ 2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n ^3+1/2*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^3-9/2*n^11*((n-1)^n)^3/(n-1)^9/(n^n)^3+13 *n^10*((n-1)^n)^3/(n-1)^9/(n^n)^3+1/2/(n^n)*n^8*(n-3)^n/(n-3)^5-6/(n^n)*n^7*(n-\ 3)^n/(n-3)^5+55/2/(n^n)*n^6*(n-3)^n/(n-3)^5-60/(n^n)*n^5*(n-3)^n/(n-3)^5+62/(n^ n)*n^4*(n-3)^n/(n-3)^5-24/(n^n)*n^3*(n-3)^n/(n-3)^5-1/2*n^15*((n-1)^n)^4/(n-1)^ 11/(n^n)^4+9/2*n^14*((n-1)^n)^4/(n-1)^11/(n^n)^4-13*n^13*((n-1)^n)^4/(n-1)^11/( n^n)^4+1/6/(n^n)*n^9*(n-4)^n/(n-4)^5-5/2/(n^n)*n^8*(n-4)^n/(n-4)^5+91/6/(n^n)*n ^7*(n-4)^n/(n-4)^5-95/2/(n^n)*n^6*(n-4)^n/(n-4)^5+242/3/(n^n)*n^5*(n-4)^n/(n-4) ^5-70/(n^n)*n^4*(n-4)^n/(n-4)^5+24/(n^n)*n^3*(n-4)^n/(n-4)^5+12*n^12*((n-1)^n)^ 4/(n-1)^11/(n^n)^4 The, 3, 2, mixed moment of, X[1], and , X[4], is 13 n 2 n 12 n 2 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) ------------------------- - -------------------------- 4 n 3 5 4 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 35 n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 4 n 3 5 4 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 12 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 6 n (n - 1) (n - 3) 55 n (n - 1) (n - 3) + ----------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 8 n n 7 n n 60 n (n - 1) (n - 3) 62 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 9 n 3 13 n n 24 n (n - 1) (n - 3) 16 n ((n - 1) ) n (n - 1) (n - 2) + ----------------------- + ----------------- - -------------------------- 2 n 2 5 12 n 3 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) 18 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 812 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 1178 n (n - 1) (n - 2) 304 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 15 n 3 n 32 n (n - 1) (n - 2) 6769 n ((n - 1) ) (n - 2) + ----------------------- - ----------------------------- 5 n 2 5 6 n 4 8 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 3283 n ((n - 1) ) (n - 2) 363 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 6 n 4 8 6 n 4 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 2 n 140 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ---------------------------- + -------------------------- 6 n 4 8 4 n 3 8 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 5 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 217 n ((n - 1) ) (n - 3) 3563 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 4445 n ((n - 1) ) (n - 3) 9833 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 2598 n ((n - 1) ) (n - 3) 840 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 253 n (n - 1) (n - 4) 1925 n (n - 1) (n - 4) + ------------------------- - -------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 10 n n 9 n n 2395 n (n - 1) (n - 4) 11674 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 8 n n 7 n n 1324 n (n - 1) (n - 4) 768 n (n - 1) (n - 4) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n n 192 n (n - 1) (n - 4) n (n - 1) (n - 4) + ------------------------ - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 14 n n 13 n n 4 n (n - 1) (n - 4) 14 n (n - 1) (n - 4) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - -------------------------- + -------------------------- 6 n 4 8 6 n 4 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 161 n ((n - 1) ) (n - 2) 490 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 4 8 6 n 4 8 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 2 10 n 3 2 36 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 21 n ((n - 1) ) (n - 3) 317 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 4 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1634 n ((n - 1) ) (n - 3) 352 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n 2 n 13 n 2 n 32 n ((n - 1) ) (n - 3) 487 n ((n - 1) ) (n - 3) + -------------------------- + ---------------------------- 10 n 3 2 10 n 3 2 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n 2 n 19 n 3 n 467 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ---------------------------- - ------------------------- 10 n 3 2 9 n 4 5 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 649 n ((n - 1) ) (n - 2) 812 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 1178 n ((n - 1) ) (n - 2) 304 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 14 n 2 n 96 n ((n - 1) ) (n - 2) 317 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 4 5 7 n 3 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 487 n ((n - 1) ) (n - 3) 934 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3268 n ((n - 1) ) (n - 3) 704 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 192 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + --------------------------- + ------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 7 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 7 n 3 5 7 n 3 5 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 4 11 n n 48 n ((n - 1) ) 317 n (n - 1) (n - 3) - ------------------ + ------------------------- 14 n 4 5 n 2 5 (n - 1) (n ) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 487 n (n - 1) (n - 3) 934 n (n - 1) (n - 3) - ------------------------- + ------------------------ 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 3268 n (n - 1) (n - 3) 704 n (n - 1) (n - 3) - ------------------------- + ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 192 n (n - 1) (n - 3) n (n - 1) (n - 3) - ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 13 n n 12 n n 7 n (n - 1) (n - 3) 63 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 5 n (n - 1) (n - 3) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 12 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 63 n (n - 1) (n - 3) 217 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 3563 n (n - 1) (n - 3) 4445 n (n - 1) (n - 3) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 8 n n 7 n n 9833 n (n - 1) (n - 3) 2598 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 21 n 5 20 n 5 840 n (n - 1) (n - 3) n ((n - 1) ) 2 n ((n - 1) ) - ------------------------ + ----------------- - ----------------- 2 n 2 8 16 n 5 16 n 5 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 1) (n ) 19 n 5 18 n 5 17 n 5 133 n ((n - 1) ) 172 n ((n - 1) ) 1108 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 16 n 5 16 n 5 16 n 5 9 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 16 n 5 13 n 12 n 11 n 416 n ((n - 1) ) n (n - 5) 37 n (n - 5) 50 n (n - 5) - ------------------- + -------------- - --------------- + --------------- 16 n 5 n 8 n 8 n 8 3 (n - 1) (n ) 36 n (n - 5) 36 n (n - 5) 3 n (n - 5) 10 n 9 n 8 n 935 n (n - 5) 3717 n (n - 5) 14749 n (n - 5) - ---------------- + ---------------- - ----------------- n 8 n 8 n 8 6 n (n - 5) 4 n (n - 5) 4 n (n - 5) 7 n 6 n 5 n 177145 n (n - 5) 156635 n (n - 5) 58358 n (n - 5) + ------------------ - ------------------ + ----------------- n 8 n 8 n 8 18 n (n - 5) 9 n (n - 5) 3 n (n - 5) 4 n 3 n 16 n 2 n 12352 n (n - 5) 3360 n (n - 5) n ((n - 1) ) (n - 2) - ----------------- + ---------------- + --------------------------- n 8 n 8 10 n 3 2 n (n - 5) n (n - 5) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 2 10 n 3 2 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 649 n ((n - 1) ) (n - 2) 406 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 3 2 10 n 3 2 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 589 n ((n - 1) ) (n - 2) 152 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 3 2 10 n 3 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n 2 n 48 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - -------------------------- + ------------------------- 10 n 3 2 7 n 3 5 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 649 n ((n - 1) ) (n - 2) 812 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1178 n ((n - 1) ) (n - 2) 304 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 96 n ((n - 1) ) (n - 2) n (n - 1) (n - 2) - -------------------------- - ------------------------- 7 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 5 n (n - 1) (n - 2) 35 n (n - 1) (n - 2) + ----------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 15 n 5 25 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) 64 n ((n - 1) ) + ----------------------- - ----------------------- + ------------------ 2 n 2 5 2 n 2 5 16 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 12 n 3 n 12 n n 48 n ((n - 1) ) (n - 2) 623 n (n - 1) (n - 4) + --------------------------- + ------------------------- 12 n 4 2 2 n 2 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 6167 n (n - 1) (n - 4) 19579 n (n - 1) (n - 4) - -------------------------- + --------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 9 n n 8 n n 59671 n (n - 1) (n - 4) 12431 n (n - 1) (n - 4) - -------------------------- + -------------------------- 2 n 2 8 2 n 2 8 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n n 7 8634 n (n - 1) (n - 4) 2520 n (n - 1) (n - 4) (n - 2) n - ------------------------- + ------------------------- + ------------- 2 n 2 8 2 n 2 8 5 n (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 18 n 4 17 n 4 16 n 4 n ((n - 1) ) 3 n ((n - 1) ) 133 n ((n - 1) ) - ------------------ + ----------------- - ------------------- 14 n 4 14 n 4 14 n 4 12 (n - 1) (n ) 2 (n - 1) (n ) 12 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 43 n ((n - 1) ) 277 n ((n - 1) ) 104 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 12 n 11 n 10 n 9 n n (n - 4) 11 n (n - 4) 39 n (n - 4) 623 n (n - 4) + -------------- - --------------- + --------------- - --------------- n 8 n 8 n 8 n 8 12 n (n - 4) 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 6167 n (n - 4) 19579 n (n - 4) 59671 n (n - 4) + ---------------- - ----------------- + ----------------- n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 6 n (n - 4) 5 n 4 n 3 n 8 n 12431 n (n - 4) 8634 n (n - 4) 2520 n (n - 4) n (n - 3) - ----------------- + ---------------- - ---------------- + ------------- n 8 n 8 n 8 n 5 n (n - 4) n (n - 4) n (n - 4) 2 n (n - 3) 7 n 6 n 5 n 4 n 6 n (n - 3) 55 n (n - 3) 60 n (n - 3) 62 n (n - 3) - ------------- + -------------- - -------------- + -------------- n 5 n 5 n 5 n 5 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 3 n 15 n 4 14 n 4 24 n (n - 3) n ((n - 1) ) 3 n ((n - 1) ) - -------------- - ----------------- + ----------------- n 5 11 n 4 11 n 4 n (n - 3) 6 (n - 1) (n ) 2 (n - 1) (n ) 13 n 4 9 n 8 n 7 n 13 n ((n - 1) ) n (n - 4) 5 n (n - 4) 91 n (n - 4) - ------------------ + ------------- - ------------- + -------------- 11 n 4 n 5 n 5 n 5 3 (n - 1) (n ) 6 n (n - 4) 2 n (n - 4) 6 n (n - 4) 6 n 5 n 4 n 3 n 95 n (n - 4) 242 n (n - 4) 70 n (n - 4) 24 n (n - 4) - -------------- + --------------- - -------------- + -------------- n 5 n 5 n 5 n 5 2 n (n - 4) 3 n (n - 4) n (n - 4) n (n - 4) 12 n 4 15 n 3 14 n 3 4 n ((n - 1) ) n ((n - 1) ) n ((n - 1) ) + ----------------- + ------------------ - ----------------- 11 n 4 12 n 3 12 n 3 (n - 1) (n ) 36 (n - 1) (n ) 2 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 133 n ((n - 1) ) 43 n ((n - 1) ) 277 n ((n - 1) ) + ------------------- - ------------------ + ------------------- 12 n 3 12 n 3 12 n 3 36 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 10 n 3 15 n n 104 n ((n - 1) ) n (n - 1) (n - 4) - ------------------- - -------------------------- 12 n 3 2 n 2 8 3 (n - 1) (n ) 12 (n - 1) (n ) (n - 4) 14 n n 13 n n 11 n 11 n (n - 1) (n - 4) 39 n (n - 1) (n - 4) n (n - 3) + ------------------------- - ------------------------ + -------------- 2 n 2 8 2 n 2 8 n 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 36 n (n - 3) 10 n 9 n 8 n 7 n 5 n (n - 3) 21 n (n - 3) 217 n (n - 3) 3563 n (n - 3) - -------------- + -------------- - --------------- + ---------------- n 8 n 8 n 8 n 8 6 n (n - 3) 2 n (n - 3) 3 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 3 n 4445 n (n - 3) 9833 n (n - 3) 866 n (n - 3) 280 n (n - 3) - ---------------- + ---------------- - --------------- + --------------- n 8 n 8 n 8 n 8 6 n (n - 3) 9 n (n - 3) n (n - 3) n (n - 3) 19 n 3 n 18 n 3 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 12 n 4 2 12 n 4 2 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 2 12 n 4 2 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 406 n ((n - 1) ) (n - 2) 589 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 152 n ((n - 1) ) (n - 2) - ---------------------------- 12 n 4 2 (n - 1) (n ) (n - 2) and in Maple notation 1/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-5*n^12*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-2)^n/(n-2)^5+35/2*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-\ 25*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+12*n^9*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-2)^n/(n-2)^5-1/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+6*n^10 *(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-55/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^5+60*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-62*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^5+24*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+16*n^9 *((n-1)^n)^3/(n-1)^12/(n^n)^3-1/18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5 +19/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-151/18*n^11*(n-1)^n/(n-1)^5 /(n^n)^2*(n-2)^n/(n-2)^5+649/18*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-\ 812/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+1178/9*n^8*(n-1)^n/(n-1)^5/(n ^n)^2*(n-2)^n/(n-2)^5-304/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+32*n^6* (n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-6769/36*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^ 4*(n-2)^n/(n-2)^8+3283/9*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8-363*n ^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8+140*n^12*((n-1)^n)^3/(n-1)^6/(n ^n)^4*(n-2)^n/(n-2)^8+1/12*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-5/2 *n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+63/2*n^15*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-3)^n/(n-3)^8-217*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+ 3563/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-4445/2*n^12*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+9833/3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^ n/(n-3)^8-2598*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+840*n^9*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+253/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^5-1925/6*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+2395/3*n^10*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-11674/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^5+1324*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-768*n^7*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^5+192*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-1/18*n ^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+4/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^5-14*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-1/36*n^19*((n-1)^ n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8+7/9*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2) ^n/(n-2)^8-161/18*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8+490/9*n^16*( (n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8+1/36*n^17*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-3)^n/(n-3)^2-7/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2+21/4* n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2-317/12*n^14*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^2+1634/9*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n -3)^2-352/3*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2+32*n^9*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2+487/6*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3 )^n/(n-3)^2-467/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2-1/6*n^19*(( n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+19/6*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-2)^n/(n-2)^5-151/6*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+649/6*n ^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-812/3*n^15*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-2)^n/(n-2)^5+1178/3*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5 -304*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+96*n^12*((n-1)^n)^3/(n-1) ^9/(n^n)^4*(n-2)^n/(n-2)^5-317/2*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3) ^5+487*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-934*n^12*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-3)^n/(n-3)^5+3268/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/( n-3)^5-704*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+192*n^9*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+1/6*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/( n-3)^5-7/2*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+63/2*n^15*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-48*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4+317/2*n ^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-487*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n -3)^n/(n-3)^5+934*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-3268/3*n^8*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+704*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^5-192*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1/6*n^14*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^5+7/2*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-63/2*n^12 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1/12*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3 )^n/(n-3)^8+5/2*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-63/2*n^12*(n-1)^n/ (n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+217*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^ 8-3563/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+4445/2*n^9*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^8-9833/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+ 2598*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-840*n^6*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-3)^n/(n-3)^8+1/9*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^5-2*n^20*((n-1)^n)^5/(n-1 )^16/(n^n)^5+133/9*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^5-172/3*n^18*((n-1)^n)^5/(n-\ 1)^16/(n^n)^5+1108/9*n^17*((n-1)^n)^5/(n-1)^16/(n^n)^5-416/3*n^16*((n-1)^n)^5/( n-1)^16/(n^n)^5+1/36/(n^n)*n^13*(n-5)^n/(n-5)^8-37/36/(n^n)*n^12*(n-5)^n/(n-5)^ 8+50/3/(n^n)*n^11*(n-5)^n/(n-5)^8-935/6/(n^n)*n^10*(n-5)^n/(n-5)^8+3717/4/(n^n) *n^9*(n-5)^n/(n-5)^8-14749/4/(n^n)*n^8*(n-5)^n/(n-5)^8+177145/18/(n^n)*n^7*(n-5 )^n/(n-5)^8-156635/9/(n^n)*n^6*(n-5)^n/(n-5)^8+58358/3/(n^n)*n^5*(n-5)^n/(n-5)^ 8-12352/(n^n)*n^4*(n-5)^n/(n-5)^8+3360/(n^n)*n^3*(n-5)^n/(n-5)^8+1/12*n^16*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-19/12*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^2+151/12*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-649/ 12*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2+406/3*n^12*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-2)^n/(n-2)^2-589/3*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^2+152*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-48*n^9*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2+1/6*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/ (n-2)^5-19/6*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+151/6*n^14*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-649/6*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n -2)^n/(n-2)^5+812/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1178/3*n^ 11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+304*n^10*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-2)^n/(n-2)^5-96*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1/2*n^ 10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+5*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^ n/(n-2)^5-35/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+25*n^7*(n-1)^n/(n-1) ^2/(n^n)^2*(n-2)^n/(n-2)^5-12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+64*n^ 15*((n-1)^n)^5/(n-1)^16/(n^n)^5+48*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n -2)^2+623/2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-6167/4*n^11*(n-1)^n/(n -1)^2/(n^n)^2*(n-4)^n/(n-4)^8+19579/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4 )^8-59671/6*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+12431*n^8*(n-1)^n/(n-1) ^2/(n^n)^2*(n-4)^n/(n-4)^8-8634*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+ 2520*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-\ 5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2) ^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3-1/12*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4 +3/2*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-133/12*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4 +43*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-277/3*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+ 104*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/12/(n^n)*n^12*(n-4)^n/(n-4)^8-11/4/(n^n )*n^11*(n-4)^n/(n-4)^8+39/(n^n)*n^10*(n-4)^n/(n-4)^8-623/2/(n^n)*n^9*(n-4)^n/(n -4)^8+6167/4/(n^n)*n^8*(n-4)^n/(n-4)^8-19579/4/(n^n)*n^7*(n-4)^n/(n-4)^8+59671/ 6/(n^n)*n^6*(n-4)^n/(n-4)^8-12431/(n^n)*n^5*(n-4)^n/(n-4)^8+8634/(n^n)*n^4*(n-4 )^n/(n-4)^8-2520/(n^n)*n^3*(n-4)^n/(n-4)^8+1/2/(n^n)*n^8*(n-3)^n/(n-3)^5-6/(n^n )*n^7*(n-3)^n/(n-3)^5+55/2/(n^n)*n^6*(n-3)^n/(n-3)^5-60/(n^n)*n^5*(n-3)^n/(n-3) ^5+62/(n^n)*n^4*(n-3)^n/(n-3)^5-24/(n^n)*n^3*(n-3)^n/(n-3)^5-1/6*n^15*((n-1)^n) ^4/(n-1)^11/(n^n)^4+3/2*n^14*((n-1)^n)^4/(n-1)^11/(n^n)^4-13/3*n^13*((n-1)^n)^4 /(n-1)^11/(n^n)^4+1/6/(n^n)*n^9*(n-4)^n/(n-4)^5-5/2/(n^n)*n^8*(n-4)^n/(n-4)^5+ 91/6/(n^n)*n^7*(n-4)^n/(n-4)^5-95/2/(n^n)*n^6*(n-4)^n/(n-4)^5+242/3/(n^n)*n^5*( n-4)^n/(n-4)^5-70/(n^n)*n^4*(n-4)^n/(n-4)^5+24/(n^n)*n^3*(n-4)^n/(n-4)^5+4*n^12 *((n-1)^n)^4/(n-1)^11/(n^n)^4+1/36*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^3-1/2*n^14*( (n-1)^n)^3/(n-1)^12/(n^n)^3+133/36*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^3-43/3*n^12* ((n-1)^n)^3/(n-1)^12/(n^n)^3+277/9*n^11*((n-1)^n)^3/(n-1)^12/(n^n)^3-104/3*n^10 *((n-1)^n)^3/(n-1)^12/(n^n)^3-1/12*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8 +11/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-39*n^13*(n-1)^n/(n-1)^2/(n^n )^2*(n-4)^n/(n-4)^8+1/36/(n^n)*n^11*(n-3)^n/(n-3)^8-5/6/(n^n)*n^10*(n-3)^n/(n-3 )^8+21/2/(n^n)*n^9*(n-3)^n/(n-3)^8-217/3/(n^n)*n^8*(n-3)^n/(n-3)^8+3563/12/(n^n )*n^7*(n-3)^n/(n-3)^8-4445/6/(n^n)*n^6*(n-3)^n/(n-3)^8+9833/9/(n^n)*n^5*(n-3)^n /(n-3)^8-866/(n^n)*n^4*(n-3)^n/(n-3)^8+280/(n^n)*n^3*(n-3)^n/(n-3)^8-1/12*n^19* ((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+19/12*n^18*((n-1)^n)^3/(n-1)^12/(n ^n)^4*(n-2)^n/(n-2)^2-151/12*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+ 649/12*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-406/3*n^15*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+589/3*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2) ^n/(n-2)^2-152*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2 The, 3, 3, mixed moment of, X[1], and , X[4], is 13 n 2 n 12 n 2 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) ------------------------- - -------------------------- 4 n 3 5 4 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 35 n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 4 n 3 5 4 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 12 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 6 n (n - 1) (n - 3) 55 n (n - 1) (n - 3) + ----------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 8 n n 7 n n 60 n (n - 1) (n - 3) 62 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 4 24 n (n - 1) (n - 3) 64 n ((n - 1) ) + ----------------------- + ------------------ 2 n 2 5 17 n 4 (n - 1) (n ) (n - 3) (n - 1) (n ) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 15 n 4 2 15 n 4 2 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 15 n 4 2 15 n 4 2 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 15 n 4 2 15 n 4 2 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 16 n 3 n 13 n 3 n 20207 n ((n - 1) ) (n - 2) 816 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 15 n 4 2 15 n 4 2 18 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 3 n 192 n ((n - 1) ) (n - 2) 14653 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 22 n 3 n 1516 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ----------------------------- - --------------------------- 15 n 4 2 12 n 4 5 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 4 5 12 n 4 5 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 14653 n ((n - 1) ) (n - 2) 4548 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 2448 n ((n - 1) ) (n - 2) 576 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 19471 n ((n - 1) ) (n - 3) 11620 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 42950 n ((n - 1) ) (n - 3) 11544 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 5472 n ((n - 1) ) (n - 3) 1152 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 5 n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 10 n 3 5 10 n 3 5 24 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 101 n ((n - 1) ) (n - 3) 537 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 5633 n ((n - 1) ) (n - 3) 5097 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 13 n ((n - 1) ) (n - 3) 337 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 7 n 3 8 7 n 3 8 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 1135 n ((n - 1) ) (n - 3) 14891 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 66549 n ((n - 1) ) (n - 3) 154943 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 7 n 3 8 7 n 3 8 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 55630 n ((n - 1) ) (n - 3) 244172 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 76886 n ((n - 1) ) (n - 3) 42096 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 10080 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 18 n n 17 n n n (n - 1) (n - 4) 7 n (n - 1) (n - 4) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 24 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n n 13 n n 791 n (n - 1) (n - 4) n (n - 1) (n - 2) - -------------------------- - -------------------------- 5 n 2 8 5 n 2 5 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 406 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 589 n (n - 1) (n - 2) 152 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 15 n n 48 n (n - 1) (n - 2) 368 n (n - 1) (n - 4) + ----------------------- + ------------------------- 5 n 2 5 5 n 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 14 n n 13 n n 21701 n (n - 1) (n - 4) 55611 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 12 n n 11 n n 1218713 n (n - 1) (n - 4) 266203 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 24 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 744842 n (n - 1) (n - 4) 321058 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 272754 n (n - 1) (n - 4) 136368 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 18 n n 30240 n (n - 1) (n - 4) n (n - 1) (n - 4) - -------------------------- - --------------------------- 5 n 2 8 2 n 2 11 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 17 n n 16 n n 5 n (n - 1) (n - 4) 1601 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 11 2 n 2 11 6 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 15 n n 14 n n 1045 n (n - 1) (n - 4) 85481 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 12 n n 49995 n (n - 1) (n - 4) 8873843 n (n - 1) (n - 4) + --------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 2 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 11 n n 10 n n 1287770 n (n - 1) (n - 4) 9412832 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 9 n n 8 n n 5202230 n (n - 1) (n - 4) 1851298 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1137720 n (n - 1) (n - 4) 302400 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 1045 n ((n - 1) ) (n - 4) 85481 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 49995 n ((n - 1) ) (n - 4) 8873843 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 4 n 3 11 4 n 3 11 2 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1287770 n ((n - 1) ) (n - 4) 9412832 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 5202230 n ((n - 1) ) (n - 4) 1851298 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 1137720 n ((n - 1) ) (n - 4) 302400 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------ 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 16 n n 8 n (n - 1) (n - 5) 7871 n (n - 1) (n - 5) + -------------------------- + --------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 17 n n 19 n n 1841 n (n - 1) (n - 5) n (n - 1) (n - 5) - --------------------------- - --------------------------- 2 n 2 11 2 n 2 11 72 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 13 n n 15 n n 16073123 n (n - 1) (n - 5) 118921 n (n - 1) (n - 5) - ------------------------------ - ---------------------------- 2 n 2 11 2 n 2 11 72 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 9 n n 8 n n 26362814 n (n - 1) (n - 5) 8542912 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 11 n n 117733 n (n - 1) (n - 5) 24866072 n (n - 1) (n - 5) + ---------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 16600463 n (n - 1) (n - 5) 4853280 n (n - 1) (n - 5) + ------------------------------ - ---------------------------- 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 53258018 n (n - 1) (n - 5) 1209600 n (n - 1) (n - 5) + ------------------------------ + ---------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 368 n ((n - 1) ) (n - 4) 21701 n ((n - 1) ) (n - 4) - ---------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 55611 n ((n - 1) ) (n - 4) 1218713 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 7 n 3 8 7 n 3 8 4 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 266203 n ((n - 1) ) (n - 4) 744842 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 321058 n ((n - 1) ) (n - 4) 272754 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 136368 n ((n - 1) ) (n - 4) 30240 n ((n - 1) ) (n - 4) - ------------------------------- + ----------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 18 n n n (n - 1) (n - 5) 23 n (n - 1) (n - 5) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 17 n n 16 n n 959 n (n - 1) (n - 5) 2999 n (n - 1) (n - 5) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 15 n n 14 n n 11159 n (n - 1) (n - 5) 99013 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 13 n n 12 n n 2553377 n (n - 1) (n - 5) 1008661 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 11 n n 10 n n 2342060 n (n - 1) (n - 5) 3942542 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 1556986 n (n - 1) (n - 5) 409128 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 191904 n (n - 1) (n - 5) 40320 n (n - 1) (n - 5) - --------------------------- + -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 11544 n ((n - 1) ) (n - 3) 5472 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 1152 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 5 n ((n - 1) ) (n - 3) 101 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 537 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 3 n 15 n 2 n 5097 n ((n - 1) ) (n - 3) 84815 n ((n - 1) ) (n - 4) + ----------------------------- + ------------------------------ 12 n 4 5 10 n 3 5 2 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 31091 n ((n - 1) ) (n - 4) 147530 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 54494 n ((n - 1) ) (n - 4) 13368 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 5856 n ((n - 1) ) (n - 4) 1152 n ((n - 1) ) (n - 4) - ----------------------------- + ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 739 n ((n - 1) ) (n - 4) 8855 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 3 n 12429 n ((n - 1) ) (n - 4) 6769 n ((n - 1) ) (n - 2) - ------------------------------ - ----------------------------- 10 n 3 5 6 n 4 8 8 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 3283 n ((n - 1) ) (n - 2) 1089 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 6 n 4 8 6 n 4 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 2 n 420 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ---------------------------- + ------------------------- 6 n 4 8 4 n 3 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 3) 189 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 651 n ((n - 1) ) (n - 3) 10689 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 13335 n ((n - 1) ) (n - 3) 9833 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 7794 n ((n - 1) ) (n - 3) 2520 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 253 n (n - 1) (n - 4) 1925 n (n - 1) (n - 4) + ------------------------- - -------------------------- 5 n 2 5 5 n 2 5 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 10 n n 9 n n 2395 n (n - 1) (n - 4) 5837 n (n - 1) (n - 4) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 1986 n (n - 1) (n - 4) 1152 n (n - 1) (n - 4) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n n 288 n (n - 1) (n - 4) n (n - 1) (n - 4) + ------------------------ - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 14 n n 13 n n 2 n (n - 1) (n - 4) 21 n (n - 1) (n - 4) + ----------------------- - ------------------------ 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - -------------------------- + -------------------------- 6 n 4 8 6 n 4 8 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 161 n ((n - 1) ) (n - 2) 490 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 4 8 6 n 4 8 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) - ------------------------- + --------------------------- 9 n 4 5 9 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 406 n ((n - 1) ) (n - 2) 589 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 456 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 951 n ((n - 1) ) (n - 3) 1461 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1401 n ((n - 1) ) (n - 3) 1634 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1056 n ((n - 1) ) (n - 3) 288 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n n ((n - 1) ) (n - 3) 21 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 7 n 3 5 7 n 3 5 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 21 n 4 20 n 4 189 n ((n - 1) ) (n - 3) n ((n - 1) ) n ((n - 1) ) + ---------------------------- - ------------------- + ----------------- 7 n 3 5 17 n 4 17 n 4 4 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) 8 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 107 n ((n - 1) ) 245 n ((n - 1) ) 1607 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 17 n 4 17 n 4 17 n 4 72 (n - 1) (n ) 24 (n - 1) (n ) 36 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 773 n ((n - 1) ) 6625 n ((n - 1) ) 892 n ((n - 1) ) + ------------------- - -------------------- + ------------------- 17 n 4 17 n 4 17 n 4 6 (n - 1) (n ) 27 (n - 1) (n ) 3 (n - 1) (n ) 13 n 4 15 n 14 n 208 n ((n - 1) ) n (n - 4) 5 n (n - 4) - ------------------- + ---------------- - --------------- 17 n 4 n 11 n 11 (n - 1) (n ) 216 n (n - 4) 18 n (n - 4) 13 n 12 n 11 n 1601 n (n - 4) 1045 n (n - 4) 85481 n (n - 4) + ----------------- - ----------------- + ------------------ n 11 n 11 n 11 216 n (n - 4) 9 n (n - 4) 72 n (n - 4) 10 n 9 n 8 n 16665 n (n - 4) 8873843 n (n - 4) 1287770 n (n - 4) - ------------------ + ------------------- - ------------------- n 11 n 11 n 11 2 n (n - 4) 216 n (n - 4) 9 n (n - 4) 7 n 6 n 5 n 9412832 n (n - 4) 5202230 n (n - 4) 1851298 n (n - 4) + ------------------- - ------------------- + ------------------- n 11 n 11 n 11 27 n (n - 4) 9 n (n - 4) 3 n (n - 4) 4 n 3 n 18 n 6 379240 n (n - 4) 100800 n (n - 4) 320 n ((n - 1) ) - ------------------ + ------------------ + ------------------- n 11 n 11 21 n 6 n (n - 4) n (n - 4) (n - 1) (n ) 25 n 4 n 24 n 4 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 17 n 5 2 17 n 5 2 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 17 n 5 2 17 n 5 2 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 17 n 5 2 17 n 5 2 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 19 n 4 n 16 n 4 n 20207 n ((n - 1) ) (n - 2) 816 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 17 n 5 2 17 n 5 2 18 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 4 n 192 n ((n - 1) ) (n - 2) 14653 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 17 n 5 2 17 n 5 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n n ((n - 1) ) (n - 3) 19 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 6 n 4 11 6 n 4 11 216 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 715 n ((n - 1) ) (n - 3) 385 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 4 11 6 n 4 11 108 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 64691 n ((n - 1) ) (n - 3) 135289 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 6 n 4 11 6 n 4 11 72 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 652630 n ((n - 1) ) (n - 3) 635140 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 4 11 6 n 4 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 3696572 n ((n - 1) ) (n - 3) 501886 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 6 n 4 11 6 n 4 11 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 345640 n ((n - 1) ) (n - 3) 33600 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 6 n 4 11 6 n 4 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 5 n ((n - 1) ) (n - 4) + --------------------------- - -------------------------- 4 n 3 11 4 n 3 11 72 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 19 n 2 n 11 n n 1601 n ((n - 1) ) (n - 4) 951 n (n - 1) (n - 3) + ----------------------------- + ------------------------- 4 n 3 11 5 n 2 5 72 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 3) 10 n n 9 n n 1461 n (n - 1) (n - 3) 1401 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 1634 n (n - 1) (n - 3) 1056 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 288 n (n - 1) (n - 3) n (n - 1) (n - 3) - ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n n 12 n n 21 n (n - 1) (n - 3) 189 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 15 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 189 n (n - 1) (n - 3) 651 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 10689 n (n - 1) (n - 3) 13335 n (n - 1) (n - 3) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 8 n n 7 n n 9833 n (n - 1) (n - 3) 7794 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 21 n 5 20 n 5 2520 n (n - 1) (n - 3) n ((n - 1) ) 3 n ((n - 1) ) - ------------------------- + ------------------ - ----------------- 2 n 2 8 16 n 5 16 n 5 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) 2 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 133 n ((n - 1) ) 43 n ((n - 1) ) 277 n ((n - 1) ) + ------------------- - ------------------ + ------------------- 16 n 5 16 n 5 16 n 5 12 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 16 n 5 13 n 12 n 11 n 104 n ((n - 1) ) n (n - 5) 37 n (n - 5) 50 n (n - 5) - ------------------- + -------------- - --------------- + --------------- 16 n 5 n 8 n 8 n 8 (n - 1) (n ) 12 n (n - 5) 12 n (n - 5) n (n - 5) 10 n 9 n 8 n 935 n (n - 5) 11151 n (n - 5) 44247 n (n - 5) - ---------------- + ----------------- - ----------------- n 8 n 8 n 8 2 n (n - 5) 4 n (n - 5) 4 n (n - 5) 7 n 6 n 5 n 177145 n (n - 5) 156635 n (n - 5) 58358 n (n - 5) + ------------------ - ------------------ + ----------------- n 8 n 8 n 8 6 n (n - 5) 3 n (n - 5) n (n - 5) 4 n 3 n 16 n 2 n 37056 n (n - 5) 10080 n (n - 5) n ((n - 1) ) (n - 2) - ----------------- + ----------------- + ------------------------- n 8 n 8 7 n 3 5 n (n - 5) n (n - 5) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 649 n ((n - 1) ) (n - 2) 406 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 589 n ((n - 1) ) (n - 2) 456 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 144 n ((n - 1) ) (n - 2) n (n - 1) (n - 2) - --------------------------- - ------------------------- 7 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 5 n (n - 1) (n - 2) 35 n (n - 1) (n - 2) + ----------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 15 n 5 25 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) 48 n ((n - 1) ) + ----------------------- - ----------------------- + ------------------ 2 n 2 5 2 n 2 5 16 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 15 n 5 15 n 13 n 192 n ((n - 1) ) 8 n (n - 5) 7871 n (n - 5) - ------------------- - -------------- - ----------------- 19 n 5 n 11 n 11 (n - 1) (n ) 9 n (n - 5) 18 n (n - 5) 14 n 16 n 10 n 1841 n (n - 5) n (n - 5) 16073123 n (n - 5) + ----------------- + --------------- + --------------------- n 11 n 11 n 11 72 n (n - 5) 72 n (n - 5) 72 n (n - 5) 12 n 6 n 5 n 118921 n (n - 5) 26362814 n (n - 5) 8542912 n (n - 5) + ------------------- + -------------------- - ------------------- n 11 n 11 n 11 24 n (n - 5) 3 n (n - 5) n (n - 5) 11 n 8 n 9 n 117733 n (n - 5) 24866072 n (n - 5) 16600463 n (n - 5) - ------------------- + -------------------- - -------------------- n 11 n 11 n 11 3 n (n - 5) 9 n (n - 5) 18 n (n - 5) 4 n 7 n 3 n 4853280 n (n - 5) 53258018 n (n - 5) 1209600 n (n - 5) + ------------------- - -------------------- - ------------------- n 11 n 11 n 11 n (n - 5) 9 n (n - 5) n (n - 5) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 3 n ((n - 1) ) 107 n ((n - 1) ) + ------------------ - ----------------- + ------------------- 19 n 5 19 n 5 19 n 5 72 (n - 1) (n ) 8 (n - 1) (n ) 24 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 245 n ((n - 1) ) 1607 n ((n - 1) ) 773 n ((n - 1) ) - ------------------- + -------------------- - ------------------- 19 n 5 19 n 5 19 n 5 8 (n - 1) (n ) 12 (n - 1) (n ) 2 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 6625 n ((n - 1) ) 892 n ((n - 1) ) 624 n ((n - 1) ) + -------------------- - ------------------- + ------------------- 19 n 5 19 n 5 19 n 5 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 4 n 23 n 3 n 1516 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 17 n 5 2 15 n 4 2 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 5 n ((n - 1) ) (n - 3) 101 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 15 n 4 2 15 n 4 2 36 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 179 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 15 n 4 2 15 n 4 2 12 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 1699 n ((n - 1) ) (n - 3) 19471 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 15 n 4 2 15 n 4 2 6 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 3848 n ((n - 1) ) (n - 3) 608 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 15 n 4 2 15 n 4 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 16 n 3 n 128 n ((n - 1) ) (n - 3) 11620 n ((n - 1) ) (n - 3) + ---------------------------- + ------------------------------ 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n 3 n 25 n 4 n 42950 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------- 15 n 4 2 14 n 5 5 27 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 14 n 5 5 14 n 5 5 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 5 14 n 5 5 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 14653 n ((n - 1) ) (n - 2) 4548 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 14 n 5 5 14 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 2448 n ((n - 1) ) (n - 2) 576 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 19471 n ((n - 1) ) (n - 3) 11620 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 12 n n 42950 n ((n - 1) ) (n - 3) 1869 n (n - 1) (n - 4) - ------------------------------ + -------------------------- 12 n 4 5 2 n 2 8 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 18501 n (n - 1) (n - 4) 58737 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 9 n n 8 n n 59671 n (n - 1) (n - 4) 37293 n (n - 1) (n - 4) - -------------------------- + -------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n n 7 25902 n (n - 1) (n - 4) 7560 n (n - 1) (n - 4) (n - 2) n - -------------------------- + ------------------------- + ------------- 2 n 2 8 2 n 2 8 5 n (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 12 n 11 n 10 n 9 n n (n - 4) 33 n (n - 4) 117 n (n - 4) 1869 n (n - 4) + ------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 18501 n (n - 4) 58737 n (n - 4) 59671 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 8 n 37293 n (n - 4) 25902 n (n - 4) 7560 n (n - 4) n (n - 3) - ----------------- + ----------------- - ---------------- + ------------- n 8 n 8 n 8 n 5 n (n - 4) n (n - 4) n (n - 4) 2 n (n - 3) 7 n 6 n 5 n 4 n 6 n (n - 3) 55 n (n - 3) 60 n (n - 3) 62 n (n - 3) - ------------- + -------------- - -------------- + -------------- n 5 n 5 n 5 n 5 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 3 n 14 n n 24 n (n - 3) 1135 n (n - 1) (n - 3) - -------------- + -------------------------- n 5 5 n 2 8 n (n - 3) 12 (n - 1) (n ) (n - 3) 13 n n 12 n n 14891 n (n - 1) (n - 3) 22183 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 11 n n 10 n n 154943 n (n - 1) (n - 3) 55630 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 244172 n (n - 1) (n - 3) 76886 n (n - 1) (n - 3) - --------------------------- + -------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 14032 n (n - 1) (n - 3) 3360 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n n 17 n 15 n n (n - 1) (n - 3) n (n - 6) 2161 n (n - 6) - -------------------------- + ---------------- + ----------------- 5 n 2 8 n 11 n 11 72 (n - 1) (n ) (n - 3) 216 n (n - 6) 216 n (n - 6) 13 n 14 n 16 n 514183 n (n - 6) 1507 n (n - 6) 23 n (n - 6) + ------------------- - ----------------- - --------------- n 11 n 11 n 11 216 n (n - 6) 8 n (n - 6) 72 n (n - 6) 10 n 12 n 6 n 48922489 n (n - 6) 1536469 n (n - 6) 157442806 n (n - 6) - --------------------- - -------------------- - --------------------- n 11 n 11 n 11 72 n (n - 6) 72 n (n - 6) 9 n (n - 6) 5 n 11 n 8 n 47567840 n (n - 6) 30201083 n (n - 6) 19732042 n (n - 6) + -------------------- + --------------------- - -------------------- n 11 n 11 n 11 3 n (n - 6) 216 n (n - 6) 3 n (n - 6) 9 n 4 n 7 n 132734459 n (n - 6) 8492000 n (n - 6) 345378532 n (n - 6) + --------------------- - ------------------- + --------------------- n 11 n 11 n 11 54 n (n - 6) n (n - 6) 27 n (n - 6) 3 n 15 n 4 14 n 4 2016000 n (n - 6) n ((n - 1) ) 3 n ((n - 1) ) + ------------------- - ----------------- + ----------------- n 11 11 n 4 11 n 4 n (n - 6) 6 (n - 1) (n ) 2 (n - 1) (n ) 13 n 4 9 n 8 n 7 n 13 n ((n - 1) ) n (n - 4) 5 n (n - 4) 91 n (n - 4) - ------------------ + ------------- - ------------- + -------------- 11 n 4 n 5 n 5 n 5 3 (n - 1) (n ) 6 n (n - 4) 2 n (n - 4) 6 n (n - 4) 6 n 5 n 4 n 3 n 95 n (n - 4) 242 n (n - 4) 70 n (n - 4) 24 n (n - 4) - -------------- + --------------- - -------------- + -------------- n 5 n 5 n 5 n 5 2 n (n - 4) 3 n (n - 4) n (n - 4) n (n - 4) 16 n 3 n 15 n 3 n 55630 n ((n - 1) ) (n - 3) 244172 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 76886 n ((n - 1) ) (n - 3) 42096 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 10080 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ - -------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 7 n ((n - 1) ) (n - 4) + -------------------------- - -------------------------- 7 n 3 8 7 n 3 8 24 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 19 n 2 n 12 n 4 27 n 6 791 n ((n - 1) ) (n - 4) 4 n ((n - 1) ) 5 n ((n - 1) ) + ---------------------------- + ----------------- - ------------------- 7 n 3 8 11 n 4 21 n 6 24 (n - 1) (n ) (n - 4) (n - 1) (n ) 216 (n - 1) (n ) 26 n 6 25 n 6 24 n 6 5 n ((n - 1) ) 535 n ((n - 1) ) 1225 n ((n - 1) ) + ----------------- - ------------------- + -------------------- 21 n 6 21 n 6 21 n 6 8 (n - 1) (n ) 72 (n - 1) (n ) 24 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 8035 n ((n - 1) ) 3865 n ((n - 1) ) 33125 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 21 n 6 21 n 6 21 n 6 36 (n - 1) (n ) 6 (n - 1) (n ) 27 (n - 1) (n ) 20 n 6 19 n 6 4460 n ((n - 1) ) 1040 n ((n - 1) ) + -------------------- - -------------------- 21 n 6 21 n 6 3 (n - 1) (n ) (n - 1) (n ) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 11 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 19 n 2 n 22 n 4 n 247 n ((n - 1) ) (n - 4) 935 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 3 5 11 n 5 8 36 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 3717 n ((n - 1) ) (n - 2) 14749 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 11 n 5 8 11 n 5 8 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 177145 n ((n - 1) ) (n - 2) 156635 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 11 n 5 8 11 n 5 8 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 29179 n ((n - 1) ) (n - 2) 6176 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 11 n 5 8 11 n 5 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 25 n 4 n 1680 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ----------------------------- + --------------------------- 11 n 5 8 11 n 5 8 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 37 n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 11 n 5 8 11 n 5 8 72 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 13 n ((n - 1) ) (n - 3) 337 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 4 8 9 n 4 8 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1135 n ((n - 1) ) (n - 3) 14891 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 9 n 4 8 9 n 4 8 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 66549 n ((n - 1) ) (n - 3) 154943 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 9 n 4 8 9 n 4 8 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 20207 n ((n - 1) ) (n - 2) 14653 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1516 n ((n - 1) ) (n - 2) 816 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n n 192 n ((n - 1) ) (n - 2) 13 n (n - 1) (n - 3) + --------------------------- + -------------------------- 10 n 3 5 5 n 2 8 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 3) 15 n n 15 n n 337 n (n - 1) (n - 3) n (n - 1) (n - 4) - -------------------------- - ------------------------- 5 n 2 8 2 n 2 8 36 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 11 n 33 n (n - 1) (n - 4) 117 n (n - 1) (n - 4) n (n - 3) + ------------------------- - ------------------------- + -------------- 2 n 2 8 2 n 2 8 n 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n (n - 3) 10 n 9 n 8 n 7 n 5 n (n - 3) 63 n (n - 3) 217 n (n - 3) 3563 n (n - 3) - -------------- + -------------- - --------------- + ---------------- n 8 n 8 n 8 n 8 2 n (n - 3) 2 n (n - 3) n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 3 n 4445 n (n - 3) 9833 n (n - 3) 2598 n (n - 3) 840 n (n - 3) - ---------------- + ---------------- - ---------------- + --------------- n 8 n 8 n 8 n 8 2 n (n - 3) 3 n (n - 3) n (n - 3) n (n - 3) and in Maple notation 1/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-5*n^12*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-2)^n/(n-2)^5+35/2*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-\ 25*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+12*n^9*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-2)^n/(n-2)^5-1/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+6*n^10 *(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-55/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^5+60*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-62*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^5+24*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+64*n^ 12*((n-1)^n)^4/(n-1)^17/(n^n)^4-1/72*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/ (n-2)^2+7/18*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-29/6*n^20*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+421/12*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-2)^n/(n-2)^2-3949/24*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+6245 /12*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-20207/18*n^16*((n-1)^n)^3 /(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+816*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n /(n-2)^2-192*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+14653/9*n^15*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-1516*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^ 4*(n-2)^n/(n-2)^2-1/24*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+7/6*n^ 21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-29/2*n^20*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-2)^n/(n-2)^5+421/4*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5 -3949/8*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+6245/4*n^17*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-20207/6*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*( n-2)^n/(n-2)^5+14653/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-4548*n ^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+2448*n^13*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-2)^n/(n-2)^5-576*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+ 19471/3*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-11620*n^13*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+42950/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^5-11544*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+5472*n^10 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-1152*n^9*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^5+1/24*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5/4 *n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+101/6*n^18*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^5-537/4*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-\ 3)^5+5633/8*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5097/2*n^15*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-13/8*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-3)^n/(n-3)^8+337/12*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-1135/4*n ^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+14891/8*n^16*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-3)^n/(n-3)^8-66549/8*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3 )^8+154943/6*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-55630*n^13*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+244172/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-3)^n/(n-3)^8-76886*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+42096*n ^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-10080*n^9*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-3)^n/(n-3)^8+1/24*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-1/ 24*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+7/4*n^17*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^8-791/24*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/12*n^13 *(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+19/12*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^5-151/12*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/12*n^10*(n -1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-406/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n /(n-2)^5+589/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-152*n^7*(n-1)^n/(n-1 )^5/(n^n)^2*(n-2)^n/(n-2)^5+48*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+368* n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-21701/8*n^14*(n-1)^n/(n-1)^5/(n^n) ^2*(n-4)^n/(n-4)^8+55611/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1218713 /24*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+266203/2*n^11*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^8-744842/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+ 321058*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-272754*n^8*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^8+136368*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-30240 *n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/72*n^18*(n-1)^n/(n-1)^2/(n^n)^2* (n-4)^n/(n-4)^11+5/6*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-1601/72*n^16 *(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+1045/3*n^15*(n-1)^n/(n-1)^2/(n^n)^2*( n-4)^n/(n-4)^11-85481/24*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+49995/2* n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-8873843/72*n^12*(n-1)^n/(n-1)^2/( n^n)^2*(n-4)^n/(n-4)^11+1287770/3*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11 -9412832/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+5202230/3*n^9*(n-1)^n/ (n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-1851298*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n -4)^11+1137720*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-302400*n^6*(n-1)^n/ (n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-1045/3*n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^ n/(n-4)^11+85481/24*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-49995/2*n ^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+8873843/72*n^15*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-4)^n/(n-4)^11-1287770/3*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4) ^n/(n-4)^11+9412832/9*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-5202230 /3*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+1851298*n^11*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-1137720*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^ n/(n-4)^11+302400*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+8/9*n^18*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+7871/18*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-5 )^n/(n-5)^11-1841/72*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-1/72*n^19*(n -1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-16073123/72*n^13*(n-1)^n/(n-1)^2/(n^n)^2 *(n-5)^n/(n-5)^11-118921/24*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-\ 26362814/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+8542912*n^8*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-5)^n/(n-5)^11+117733/3*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-\ 5)^11-24866072/9*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+16600463/18*n^12 *(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-4853280*n^7*(n-1)^n/(n-1)^2/(n^n)^2*( n-5)^n/(n-5)^11+53258018/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+ 1209600*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-368*n^18*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-4)^n/(n-4)^8+21701/8*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-\ 4)^8-55611/4*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+1218713/24*n^15*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-266203/2*n^14*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-4)^n/(n-4)^8+744842/3*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8 -321058*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+272754*n^11*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-136368*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4) ^n/(n-4)^8+30240*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-1/72*n^19*(n-1 )^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+23/36*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/ (n-5)^8-959/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+2999/18*n^16*(n-1)^ n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-11159/8*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/ (n-5)^8+99013/12*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-2553377/72*n^13*( n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+1008661/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*( n-5)^n/(n-5)^8-2342060/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+3942542/9 *n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-1556986/3*n^9*(n-1)^n/(n-1)^5/(n^ n)^2*(n-5)^n/(n-5)^8+409128*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-191904* n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+40320*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-5)^n/(n-5)^8+11544*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-5472*n^ 13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+1152*n^12*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^5-1/24*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+ 5/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-101/6*n^21*((n-1)^n)^3/(n 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*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8+1/4*n^17*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-3)^n/(n-3)^8-15/2*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+189/2* n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-651*n^14*((n-1)^n)^2/(n-1)^4/( n^n)^3*(n-3)^n/(n-3)^8+10689/4*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8 -13335/2*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+9833*n^11*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-7794*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/ (n-3)^8+2520*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+253/2*n^12*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-1925/4*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^5+2395/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-5837/3*n^9*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^5+1986*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-\ 1152*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+288*n^6*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^5-1/12*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+2*n^14*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-21*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^5-1/12*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8+7/3*n^18*((n-1)^n)^3 /(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8-161/6*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n /(n-2)^8+490/3*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8-1/4*n^19*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+19/4*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 2)^n/(n-2)^5-151/4*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+649/4*n^16* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-406*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^ 4*(n-2)^n/(n-2)^5+589*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-456*n^13 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+144*n^12*((n-1)^n)^3/(n-1)^9/(n^n) ^4*(n-2)^n/(n-2)^5-951/4*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+1461/ 2*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-1401*n^12*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-3)^n/(n-3)^5+1634*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5 -1056*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+288*n^9*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-3)^n/(n-3)^5+1/4*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^ 5-21/4*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+189/4*n^15*((n-1)^n)^2/ (n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-1/216*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+1/8*n^ 20*((n-1)^n)^4/(n-1)^17/(n^n)^4-107/72*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+245/24 *n^18*((n-1)^n)^4/(n-1)^17/(n^n)^4-1607/36*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^4+ 773/6*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^4-6625/27*n^15*((n-1)^n)^4/(n-1)^17/(n^n) ^4+892/3*n^14*((n-1)^n)^4/(n-1)^17/(n^n)^4-208*n^13*((n-1)^n)^4/(n-1)^17/(n^n)^ 4+1/216/(n^n)*n^15*(n-4)^n/(n-4)^11-5/18/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/216/( n^n)*n^13*(n-4)^n/(n-4)^11-1045/9/(n^n)*n^12*(n-4)^n/(n-4)^11+85481/72/(n^n)*n^ 11*(n-4)^n/(n-4)^11-16665/2/(n^n)*n^10*(n-4)^n/(n-4)^11+8873843/216/(n^n)*n^9*( n-4)^n/(n-4)^11-1287770/9/(n^n)*n^8*(n-4)^n/(n-4)^11+9412832/27/(n^n)*n^7*(n-4) ^n/(n-4)^11-5202230/9/(n^n)*n^6*(n-4)^n/(n-4)^11+1851298/3/(n^n)*n^5*(n-4)^n/(n -4)^11-379240/(n^n)*n^4*(n-4)^n/(n-4)^11+100800/(n^n)*n^3*(n-4)^n/(n-4)^11+320* n^18*((n-1)^n)^6/(n-1)^21/(n^n)^6+1/72*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^ n/(n-2)^2-7/18*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2+29/6*n^23*((n-\ 1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-421/12*n^22*((n-1)^n)^4/(n-1)^17/(n^n) ^5*(n-2)^n/(n-2)^2+3949/24*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-\ 6245/12*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2+20207/18*n^19*((n-1)^ n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-816*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-\ 2)^n/(n-2)^2+192*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-14653/9*n^18 *((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-1/216*n^23*((n-1)^n)^3/(n-1)^6/(n ^n)^4*(n-3)^n/(n-3)^11+19/72*n^22*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11-\ 715/108*n^21*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11+385/4*n^20*((n-1)^n)^ 3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11-64691/72*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n -3)^n/(n-3)^11+135289/24*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11-\ 652630/27*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11+635140/9*n^16*((n-1 )^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11-3696572/27*n^15*((n-1)^n)^3/(n-1)^6/(n^ n)^4*(n-3)^n/(n-3)^11+501886/3*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^ 11-345640/3*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11+33600*n^12*((n-1) ^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^11+1/72*n^21*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -4)^n/(n-4)^11-5/6*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+1601/72*n^ 19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+951/4*n^11*(n-1)^n/(n-1)^5/(n^n )^2*(n-3)^n/(n-3)^5-1461/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+1401*n^ 9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1634*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3 )^n/(n-3)^5+1056*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-288*n^6*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1/4*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+ 21/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-189/4*n^12*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^5-1/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+15/2*n^ 13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-189/2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*( n-3)^n/(n-3)^8+651*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-10689/4*n^10*(n -1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+13335/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^8-9833*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+7794*n^7*(n-1)^n/(n -1)^2/(n^n)^2*(n-3)^n/(n-3)^8-2520*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+ 1/12*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^5-3/2*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^5+ 133/12*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^5-43*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^5+ 277/3*n^17*((n-1)^n)^5/(n-1)^16/(n^n)^5-104*n^16*((n-1)^n)^5/(n-1)^16/(n^n)^5+1 /12/(n^n)*n^13*(n-5)^n/(n-5)^8-37/12/(n^n)*n^12*(n-5)^n/(n-5)^8+50/(n^n)*n^11*( n-5)^n/(n-5)^8-935/2/(n^n)*n^10*(n-5)^n/(n-5)^8+11151/4/(n^n)*n^9*(n-5)^n/(n-5) ^8-44247/4/(n^n)*n^8*(n-5)^n/(n-5)^8+177145/6/(n^n)*n^7*(n-5)^n/(n-5)^8-156635/ 3/(n^n)*n^6*(n-5)^n/(n-5)^8+58358/(n^n)*n^5*(n-5)^n/(n-5)^8-37056/(n^n)*n^4*(n-\ 5)^n/(n-5)^8+10080/(n^n)*n^3*(n-5)^n/(n-5)^8+1/4*n^16*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-2)^n/(n-2)^5-19/4*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+151/4* n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-649/4*n^13*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-2)^n/(n-2)^5+406*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-\ 589*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+456*n^10*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-2)^n/(n-2)^5-144*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-\ 1/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+5*n^9*(n-1)^n/(n-1)^2/(n^n)^2* (n-2)^n/(n-2)^5-35/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+25*n^7*(n-1)^n /(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-12*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5 +48*n^15*((n-1)^n)^5/(n-1)^16/(n^n)^5-192*n^15*((n-1)^n)^5/(n-1)^19/(n^n)^5-8/9 /(n^n)*n^15*(n-5)^n/(n-5)^11-7871/18/(n^n)*n^13*(n-5)^n/(n-5)^11+1841/72/(n^n)* n^14*(n-5)^n/(n-5)^11+1/72/(n^n)*n^16*(n-5)^n/(n-5)^11+16073123/72/(n^n)*n^10*( n-5)^n/(n-5)^11+118921/24/(n^n)*n^12*(n-5)^n/(n-5)^11+26362814/3/(n^n)*n^6*(n-5 )^n/(n-5)^11-8542912/(n^n)*n^5*(n-5)^n/(n-5)^11-117733/3/(n^n)*n^11*(n-5)^n/(n-\ 5)^11+24866072/9/(n^n)*n^8*(n-5)^n/(n-5)^11-16600463/18/(n^n)*n^9*(n-5)^n/(n-5) ^11+4853280/(n^n)*n^4*(n-5)^n/(n-5)^11-53258018/9/(n^n)*n^7*(n-5)^n/(n-5)^11-\ 1209600/(n^n)*n^3*(n-5)^n/(n-5)^11+1/72*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5-3/8*n ^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+107/24*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5-245/8 *n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+1607/12*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^5-\ 773/2*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+6625/9*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^ 5-892*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5+624*n^16*((n-1)^n)^5/(n-1)^19/(n^n)^5+ 1516*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-1/216*n^23*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+5/36*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/ (n-3)^2-101/54*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+179/12*n^20*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2-5633/72*n^19*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-3)^n/(n-3)^2+1699/6*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2-\ 19471/27*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+3848/3*n^14*((n-1)^n )^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2-608*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3 )^n/(n-3)^2+128*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+11620/9*n^16* ((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2-42950/27*n^15*((n-1)^n)^3/(n-1)^15 /(n^n)^4*(n-3)^n/(n-3)^2+1/24*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5 -7/6*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+29/2*n^23*((n-1)^n)^4/(n -1)^14/(n^n)^5*(n-2)^n/(n-2)^5-421/4*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/ (n-2)^5+3949/8*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-6245/4*n^20*(( n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+20207/6*n^19*((n-1)^n)^4/(n-1)^14/(n ^n)^5*(n-2)^n/(n-2)^5-14653/3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5 +4548*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-2448*n^16*((n-1)^n)^4/( n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+576*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/( n-2)^5-19471/3*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+11620*n^16*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-42950/3*n^15*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-3)^n/(n-3)^5+1869/2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-18501/ 4*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+58737/4*n^10*(n-1)^n/(n-1)^2/(n^ n)^2*(n-4)^n/(n-4)^8-59671/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+37293* n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-25902*n^7*(n-1)^n/(n-1)^2/(n^n)^2*( n-4)^n/(n-4)^8+7560*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+1/6*(n-2)^n/(n-\ 2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/ 3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3+1/4/(n^n)*n^12*(n-4)^n/ (n-4)^8-33/4/(n^n)*n^11*(n-4)^n/(n-4)^8+117/(n^n)*n^10*(n-4)^n/(n-4)^8-1869/2/( n^n)*n^9*(n-4)^n/(n-4)^8+18501/4/(n^n)*n^8*(n-4)^n/(n-4)^8-58737/4/(n^n)*n^7*(n -4)^n/(n-4)^8+59671/2/(n^n)*n^6*(n-4)^n/(n-4)^8-37293/(n^n)*n^5*(n-4)^n/(n-4)^8 +25902/(n^n)*n^4*(n-4)^n/(n-4)^8-7560/(n^n)*n^3*(n-4)^n/(n-4)^8+1/2/(n^n)*n^8*( n-3)^n/(n-3)^5-6/(n^n)*n^7*(n-3)^n/(n-3)^5+55/2/(n^n)*n^6*(n-3)^n/(n-3)^5-60/(n ^n)*n^5*(n-3)^n/(n-3)^5+62/(n^n)*n^4*(n-3)^n/(n-3)^5-24/(n^n)*n^3*(n-3)^n/(n-3) ^5+1135/12*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14891/24*n^13*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+22183/8*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^8-154943/18*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+55630/3*n^10*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-244172/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/ (n-3)^8+76886/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14032*n^7*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+3360*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8 -1/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+1/216/(n^n)*n^17*(n-6)^n/(n-\ 6)^11+2161/216/(n^n)*n^15*(n-6)^n/(n-6)^11+514183/216/(n^n)*n^13*(n-6)^n/(n-6)^ 11-1507/8/(n^n)*n^14*(n-6)^n/(n-6)^11-23/72/(n^n)*n^16*(n-6)^n/(n-6)^11-\ 48922489/72/(n^n)*n^10*(n-6)^n/(n-6)^11-1536469/72/(n^n)*n^12*(n-6)^n/(n-6)^11-\ 157442806/9/(n^n)*n^6*(n-6)^n/(n-6)^11+47567840/3/(n^n)*n^5*(n-6)^n/(n-6)^11+ 30201083/216/(n^n)*n^11*(n-6)^n/(n-6)^11-19732042/3/(n^n)*n^8*(n-6)^n/(n-6)^11+ 132734459/54/(n^n)*n^9*(n-6)^n/(n-6)^11-8492000/(n^n)*n^4*(n-6)^n/(n-6)^11+ 345378532/27/(n^n)*n^7*(n-6)^n/(n-6)^11+2016000/(n^n)*n^3*(n-6)^n/(n-6)^11-1/6* n^15*((n-1)^n)^4/(n-1)^11/(n^n)^4+3/2*n^14*((n-1)^n)^4/(n-1)^11/(n^n)^4-13/3*n^ 13*((n-1)^n)^4/(n-1)^11/(n^n)^4+1/6/(n^n)*n^9*(n-4)^n/(n-4)^5-5/2/(n^n)*n^8*(n-\ 4)^n/(n-4)^5+91/6/(n^n)*n^7*(n-4)^n/(n-4)^5-95/2/(n^n)*n^6*(n-4)^n/(n-4)^5+242/ 3/(n^n)*n^5*(n-4)^n/(n-4)^5-70/(n^n)*n^4*(n-4)^n/(n-4)^5+24/(n^n)*n^3*(n-4)^n/( n-4)^5+55630*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-244172/3*n^15*((n -1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+76886*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-3)^n/(n-3)^8-42096*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+10080*n ^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-1/24*n^23*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-3)^n/(n-3)^8+1/24*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-7/ 4*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+791/24*n^19*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-4)^n/(n-4)^8+4*n^12*((n-1)^n)^4/(n-1)^11/(n^n)^4-5/216*n^27*((n-\ 1)^n)^6/(n-1)^21/(n^n)^6+5/8*n^26*((n-1)^n)^6/(n-1)^21/(n^n)^6-535/72*n^25*((n-\ 1)^n)^6/(n-1)^21/(n^n)^6+1225/24*n^24*((n-1)^n)^6/(n-1)^21/(n^n)^6-8035/36*n^23 *((n-1)^n)^6/(n-1)^21/(n^n)^6+3865/6*n^22*((n-1)^n)^6/(n-1)^21/(n^n)^6-33125/27 *n^21*((n-1)^n)^6/(n-1)^21/(n^n)^6+4460/3*n^20*((n-1)^n)^6/(n-1)^21/(n^n)^6-\ 1040*n^19*((n-1)^n)^6/(n-1)^21/(n^n)^6+1/72*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-4)^n/(n-4)^5-11/24*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+247/36*n ^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-935/12*n^22*((n-1)^n)^4/(n-1)^ 11/(n^n)^5*(n-2)^n/(n-2)^8+3717/8*n^21*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-\ 2)^8-14749/8*n^20*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+177145/36*n^19*( (n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8-156635/18*n^18*((n-1)^n)^4/(n-1)^11 /(n^n)^5*(n-2)^n/(n-2)^8+29179/3*n^17*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2 )^8-6176*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+1680*n^15*((n-1)^n)^ 4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+1/72*n^25*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2) ^n/(n-2)^8-37/72*n^24*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+25/3*n^23*(( n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+13/8*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^ 4*(n-3)^n/(n-3)^8-337/12*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+1135/ 4*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-14891/8*n^19*((n-1)^n)^3/(n-\ 1)^9/(n^n)^4*(n-3)^n/(n-3)^8+66549/8*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/( n-3)^8-154943/6*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+1/72*n^19*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-7/18*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-2)^n/(n-2)^5+29/6*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-421/12* n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+3949/24*n^15*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-2)^n/(n-2)^5-6245/12*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^5+20207/18*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-14653/9*n^12 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+1516*n^11*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-2)^n/(n-2)^5-816*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+192 *n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+13/24*n^16*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^8-337/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/4*n ^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+33/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*( n-4)^n/(n-4)^8-117*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+1/12/(n^n)*n^11 *(n-3)^n/(n-3)^8-5/2/(n^n)*n^10*(n-3)^n/(n-3)^8+63/2/(n^n)*n^9*(n-3)^n/(n-3)^8-\ 217/(n^n)*n^8*(n-3)^n/(n-3)^8+3563/4/(n^n)*n^7*(n-3)^n/(n-3)^8-4445/2/(n^n)*n^6 *(n-3)^n/(n-3)^8+9833/3/(n^n)*n^5*(n-3)^n/(n-3)^8-2598/(n^n)*n^4*(n-3)^n/(n-3)^ 8+840/(n^n)*n^3*(n-3)^n/(n-3)^8 The, 3, 4, mixed moment of, X[1], and , X[4], is 13 n 2 n 12 n 2 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) ------------------------- - -------------------------- 4 n 3 5 4 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 35 n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 4 n 3 5 4 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 12 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 6 n (n - 1) (n - 3) 55 n (n - 1) (n - 3) + ----------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 8 n n 7 n n 60 n (n - 1) (n - 3) 62 n (n - 1) (n - 3) + ----------------------- - ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 22 n 3 n 24 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) + ----------------------- - --------------------------- 2 n 2 5 12 n 4 5 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 29306 n ((n - 1) ) (n - 2) 9096 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 4896 n ((n - 1) ) (n - 2) 1152 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 38942 n ((n - 1) ) (n - 3) 23240 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 85900 n ((n - 1) ) (n - 3) 23088 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 10944 n ((n - 1) ) (n - 3) 2304 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 5 n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 101 n ((n - 1) ) (n - 3) 537 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 5633 n ((n - 1) ) (n - 3) 5097 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 13 n ((n - 1) ) (n - 3) 337 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 1135 n ((n - 1) ) (n - 3) 14891 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 66549 n ((n - 1) ) (n - 3) 309886 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 222520 n ((n - 1) ) (n - 3) 976688 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 307544 n ((n - 1) ) (n - 3) 168384 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 40320 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 18 n n 17 n n n (n - 1) (n - 4) 7 n (n - 1) (n - 4) - ------------------------- + ----------------------- 5 n 2 8 5 n 2 8 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 13 n n 791 n (n - 1) (n - 4) n (n - 1) (n - 2) - ------------------------- - ------------------------- 5 n 2 8 5 n 2 5 6 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 1624 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 2356 n (n - 1) (n - 2) 608 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 15 n n 64 n (n - 1) (n - 2) 1472 n (n - 1) (n - 4) + ----------------------- + -------------------------- 5 n 2 5 5 n 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 14 n n 13 n n 21701 n (n - 1) (n - 4) 55611 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 1218713 n (n - 1) (n - 4) 532406 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 2979368 n (n - 1) (n - 4) 1284232 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 1091016 n (n - 1) (n - 4) 545472 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 18 n n 120960 n (n - 1) (n - 4) n (n - 1) (n - 4) - --------------------------- - --------------------------- 5 n 2 8 2 n 2 11 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 17 n n 16 n n 5 n (n - 1) (n - 4) 1601 n (n - 1) (n - 4) + ------------------------ - --------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 15 n n 14 n n 2090 n (n - 1) (n - 4) 85481 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 12 n n 149985 n (n - 1) (n - 4) 8873843 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 2575540 n (n - 1) (n - 4) 18825664 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 10404460 n (n - 1) (n - 4) 11107788 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 6826320 n (n - 1) (n - 4) 1814400 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 2090 n ((n - 1) ) (n - 4) 85481 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 149985 n ((n - 1) ) (n - 4) 8873843 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 2575540 n ((n - 1) ) (n - 4) 18825664 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 10404460 n ((n - 1) ) (n - 4) 11107788 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 6826320 n ((n - 1) ) (n - 4) 1814400 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 16 n n 16 n (n - 1) (n - 5) 7871 n (n - 1) (n - 5) + -------------------------- + -------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 17 n n 19 n n 1841 n (n - 1) (n - 5) n (n - 1) (n - 5) - --------------------------- - --------------------------- 2 n 2 11 2 n 2 11 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 13 n n 15 n n 16073123 n (n - 1) (n - 5) 118921 n (n - 1) (n - 5) - ------------------------------ - ---------------------------- 2 n 2 11 2 n 2 11 12 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 9 n n 8 n n 52725628 n (n - 1) (n - 5) 51257472 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 11 n n 235466 n (n - 1) (n - 5) 49732144 n (n - 1) (n - 5) + ---------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 12 n n 7 n n 16600463 n (n - 1) (n - 5) 29119680 n (n - 1) (n - 5) + ------------------------------ - ----------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 106516036 n (n - 1) (n - 5) 7257600 n (n - 1) (n - 5) + ------------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 1472 n ((n - 1) ) (n - 4) 21701 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 55611 n ((n - 1) ) (n - 4) 1218713 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 532406 n ((n - 1) ) (n - 4) 2979368 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1284232 n ((n - 1) ) (n - 4) 1091016 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 545472 n ((n - 1) ) (n - 4) 120960 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 18 n n n (n - 1) (n - 5) 23 n (n - 1) (n - 5) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 17 n n 16 n n 959 n (n - 1) (n - 5) 5998 n (n - 1) (n - 5) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 15 n n 14 n n 11159 n (n - 1) (n - 5) 99013 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 13 n n 12 n n 2553377 n (n - 1) (n - 5) 4034644 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 11 n n 10 n n 9368240 n (n - 1) (n - 5) 15770168 n (n - 1) (n - 5) - ----------------------------- + ------------------------------ 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 6227944 n (n - 1) (n - 5) 1636512 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 767616 n (n - 1) (n - 5) 161280 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 5 n 31 n 5 n 13440 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 16 n 6 8 16 n 6 8 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 23 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 16 n 6 8 16 n 6 8 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 2999 n ((n - 1) ) (n - 2) 11159 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 16 n 6 8 16 n 6 8 54 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 26 n 5 n 29 n 4 n 99013 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ------------------------------ + --------------------------- 16 n 6 8 14 n 5 8 36 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 2 n ((n - 1) ) (n - 3) 1051 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 14 n 5 8 14 n 5 8 3 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 773 n ((n - 1) ) (n - 3) 124423 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------- 14 n 5 8 14 n 5 8 4 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 24 n 4 n 19 n 3 n 66245 n ((n - 1) ) (n - 3) 4850330 n ((n - 1) ) (n - 4) - ------------------------------ - -------------------------------- 14 n 5 8 15 n 4 5 6 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 525806 n ((n - 1) ) (n - 2) 1041244 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 175 n ((n - 1) ) (n - 3) 1277 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 57121 n ((n - 1) ) (n - 3) 102241 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 611473 n ((n - 1) ) (n - 3) 306386 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 54 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 3 n 25 n 3 n 2092856 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - -------------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 37 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 324 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 3205 n ((n - 1) ) (n - 2) 14767 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 15 n 4 5 15 n 4 5 162 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 72707 n ((n - 1) ) (n - 2) 196676 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 2553377 n ((n - 1) ) (n - 2) 1008661 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 16 n 6 8 16 n 6 8 216 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 2342060 n ((n - 1) ) (n - 2) 3942542 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 16 n 6 8 16 n 6 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 1556986 n ((n - 1) ) (n - 2) 136376 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 16 n 6 8 16 n 6 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 14 n 3 n 63968 n ((n - 1) ) (n - 2) 23088 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 16 n 6 8 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 10944 n ((n - 1) ) (n - 3) 2304 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n n ((n - 1) ) (n - 3) 5 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------- 12 n 4 5 12 n 4 5 12 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 101 n ((n - 1) ) (n - 3) 537 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 5633 n ((n - 1) ) (n - 3) 5097 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 84815 n ((n - 1) ) (n - 4) 62182 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 295060 n ((n - 1) ) (n - 4) 108988 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 26736 n ((n - 1) ) (n - 4) 11712 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 18 n 2 n 2304 n ((n - 1) ) (n - 4) 739 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 8855 n ((n - 1) ) (n - 4) 12429 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 47383 n ((n - 1) ) (n - 2) 22981 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 6 n 4 8 6 n 4 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 2541 n ((n - 1) ) (n - 2) 980 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 7 n ((n - 1) ) (n - 3) 35 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 4 n 3 8 4 n 3 8 12 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 441 n ((n - 1) ) (n - 3) 1519 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 24941 n ((n - 1) ) (n - 3) 31115 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 4 n 3 8 4 n 3 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 68831 n ((n - 1) ) (n - 3) 18186 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 4 n 3 8 4 n 3 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 5880 n ((n - 1) ) (n - 3) 506 n (n - 1) (n - 4) + ---------------------------- + ------------------------- 4 n 3 8 5 n 2 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 11 n n 10 n n 1925 n (n - 1) (n - 4) 4790 n (n - 1) (n - 4) - -------------------------- + -------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 23348 n (n - 1) (n - 4) 2648 n (n - 1) (n - 4) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1536 n (n - 1) (n - 4) 384 n (n - 1) (n - 4) - ------------------------- + ------------------------ 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n n 14 n n n (n - 1) (n - 4) 8 n (n - 1) (n - 4) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n n 19 n 3 n 28 n (n - 1) (n - 4) 7 n ((n - 1) ) (n - 2) - ------------------------ - -------------------------- 5 n 2 5 6 n 4 8 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 49 n ((n - 1) ) (n - 2) 1127 n ((n - 1) ) (n - 2) + --------------------------- - ----------------------------- 6 n 4 8 6 n 4 8 9 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 16 n 3 n 19 n 3 n 3430 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------- 6 n 4 8 9 n 4 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 649 n ((n - 1) ) (n - 2) 1624 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 2356 n ((n - 1) ) (n - 2) 608 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 14 n 2 n 192 n ((n - 1) ) (n - 2) 317 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 9 n 4 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 974 n ((n - 1) ) (n - 3) 1868 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 6536 n ((n - 1) ) (n - 3) 1408 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 384 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + --------------------------- + ------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 7 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 14 n 13 n 12 n n (n - 4) 5 n (n - 4) 1601 n (n - 4) 2090 n (n - 4) + --------------- - -------------- + ----------------- - ----------------- n 11 n 11 n 11 n 11 36 n (n - 4) 3 n (n - 4) 36 n (n - 4) 3 n (n - 4) 11 n 10 n 9 n 85481 n (n - 4) 49995 n (n - 4) 8873843 n (n - 4) + ------------------ - ------------------ + ------------------- n 11 n 11 n 11 12 n (n - 4) n (n - 4) 36 n (n - 4) 8 n 7 n 6 n 2575540 n (n - 4) 18825664 n (n - 4) 10404460 n (n - 4) - ------------------- + -------------------- - -------------------- n 11 n 11 n 11 3 n (n - 4) 9 n (n - 4) 3 n (n - 4) 5 n 4 n 3 n 3702596 n (n - 4) 2275440 n (n - 4) 604800 n (n - 4) + ------------------- - ------------------- + ------------------ n 11 n 11 n 11 n (n - 4) n (n - 4) n (n - 4) 18 n 6 23 n 3 n 384 n ((n - 1) ) n ((n - 1) ) (n - 3) + ------------------- - --------------------------- 21 n 6 6 n 4 11 (n - 1) (n ) 36 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 19 n ((n - 1) ) (n - 3) 715 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 6 n 4 11 6 n 4 11 12 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1155 n ((n - 1) ) (n - 3) 64691 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 6 n 4 11 6 n 4 11 2 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 135289 n ((n - 1) ) (n - 3) 1305260 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 6 n 4 11 6 n 4 11 4 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1270280 n ((n - 1) ) (n - 3) 7393144 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 6 n 4 11 6 n 4 11 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1003772 n ((n - 1) ) (n - 3) 691280 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 6 n 4 11 6 n 4 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 21 n 2 n 201600 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------- 6 n 4 11 4 n 3 11 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 5 n ((n - 1) ) (n - 4) 1601 n ((n - 1) ) (n - 4) - -------------------------- + ----------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 317 n (n - 1) (n - 3) 974 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 1868 n (n - 1) (n - 3) 6536 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 1408 n (n - 1) (n - 3) 384 n (n - 1) (n - 3) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - ------------------------- + ----------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 14 n n 63 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - ------------------------ - -------------------------- 5 n 2 5 2 n 2 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 13 n n 12 n n 35 n (n - 1) (n - 3) 441 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 1519 n (n - 1) (n - 3) 24941 n (n - 1) (n - 3) + -------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 9 n n 8 n n 31115 n (n - 1) (n - 3) 68831 n (n - 1) (n - 3) + -------------------------- - -------------------------- 2 n 2 8 2 n 2 8 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 18186 n (n - 1) (n - 3) 5880 n (n - 1) (n - 3) + -------------------------- - ------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 5 20 n 5 19 n 5 n ((n - 1) ) 2 n ((n - 1) ) 133 n ((n - 1) ) + ----------------- - ----------------- + ------------------- 16 n 5 16 n 5 16 n 5 9 (n - 1) (n ) (n - 1) (n ) 9 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 172 n ((n - 1) ) 1108 n ((n - 1) ) 416 n ((n - 1) ) - ------------------- + -------------------- - ------------------- 16 n 5 16 n 5 16 n 5 3 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 13 n 12 n 11 n 10 n 7 n (n - 5) 259 n (n - 5) 350 n (n - 5) 6545 n (n - 5) + -------------- - ---------------- + ---------------- - ----------------- n 8 n 8 n 8 n 8 36 n (n - 5) 36 n (n - 5) 3 n (n - 5) 6 n (n - 5) 9 n 8 n 7 n 26019 n (n - 5) 103243 n (n - 5) 1240015 n (n - 5) + ----------------- - ------------------ + ------------------- n 8 n 8 n 8 4 n (n - 5) 4 n (n - 5) 18 n (n - 5) 6 n 5 n 4 n 1096445 n (n - 5) 408506 n (n - 5) 86464 n (n - 5) - ------------------- + ------------------ - ----------------- n 8 n 8 n 8 9 n (n - 5) 3 n (n - 5) n (n - 5) 3 n 18 n 2 n 23520 n (n - 5) 6126353 n ((n - 1) ) (n - 4) + ----------------- + -------------------------------- n 8 10 n 3 8 n (n - 5) 72 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 8133547 n ((n - 1) ) (n - 4) 37201591 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 24 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 7234936 n ((n - 1) ) (n - 4) 38436028 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 5632466 n ((n - 1) ) (n - 4) 5351516 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 3454608 n ((n - 1) ) (n - 4) 1353024 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 23 n 4 n 241920 n ((n - 1) ) (n - 4) 21724307 n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------------- 10 n 3 8 11 n 5 11 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 16424683 n ((n - 1) ) (n - 3) 82933070 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 11 n 5 11 11 n 5 11 54 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 20 n 4 n 17 n 18 n 68660108 n ((n - 1) ) (n - 3) 286 n (n - 5) 25 n (n - 5) - --------------------------------- + ---------------- - ---------------- 11 n 5 11 n 14 n 14 27 (n - 1) (n ) (n - 3) 81 n (n - 5) 324 n (n - 5) 14 n 13 n 12 n 8099455 n (n - 5) 40698229 n (n - 5) 618767435 n (n - 5) - -------------------- + --------------------- - ---------------------- n 14 n 14 n 14 324 n (n - 5) 162 n (n - 5) 324 n (n - 5) 11 n 16 n 15 n 14365627133 n (n - 5) 31765 n (n - 5) 1196741 n (n - 5) + ------------------------ - ------------------ + -------------------- n 14 n 14 n 14 1296 n (n - 5) 324 n (n - 5) 648 n (n - 5) 10 n 6 n 3986760635 n (n - 5) 3156242060 n (n - 5) - ----------------------- - ---------------------- n 14 n 14 81 n (n - 5) 3 n (n - 5) 5 n 8 n 2799157712 n (n - 5) 34274227715 n (n - 5) + ---------------------- - ----------------------- n 14 n 14 3 n (n - 5) 81 n (n - 5) 9 n 4 n 13478425688 n (n - 5) 491642560 n (n - 5) + ----------------------- - --------------------- n 14 n 14 81 n (n - 5) n (n - 5) 7 n 3 n 19 n 21381576733 n (n - 5) 115315200 n (n - 5) 35 n (n - 6) + ----------------------- + --------------------- - ---------------- n 14 n 14 n 14 27 n (n - 5) n (n - 5) 144 n (n - 6) 17 n 18 n 20 n 4165 n (n - 6) 47 n (n - 6) n (n - 6) - ----------------- + --------------- + ---------------- n 14 n 14 n 14 12 n (n - 6) 4 n (n - 6) 432 n (n - 6) 14 n 13 n 121893733 n (n - 6) 341916575 n (n - 6) + ---------------------- - ---------------------- n 14 n 14 108 n (n - 6) 36 n (n - 6) 12 n 11 n 16 n 2971219537 n (n - 6) 15068478425 n (n - 6) 504797 n (n - 6) + ----------------------- - ------------------------ + ------------------- n 14 n 14 n 14 48 n (n - 6) 48 n (n - 6) 72 n (n - 6) 15 n 10 n 2464735 n (n - 6) 11137409621 n (n - 6) - -------------------- + ------------------------ n 14 n 14 24 n (n - 6) 9 n (n - 6) 6 n 5 n 18580368012 n (n - 6) 15470716240 n (n - 6) + ----------------------- - ----------------------- n 14 n 14 n (n - 6) n (n - 6) 8 n 9 n 19 n 235515868774 n (n - 6) 11296261795 n (n - 6) 317 n (n - 7) + ------------------------ - ----------------------- + ---------------- n 14 n 14 n 14 27 n (n - 6) 3 n (n - 6) 72 n (n - 7) 17 n 18 n 21 n 654737 n (n - 7) 5011 n (n - 7) n (n - 7) + ------------------- - ----------------- + ----------------- n 14 n 14 n 14 216 n (n - 7) 36 n (n - 7) 1296 n (n - 7) 20 n 14 n 13 n 37 n (n - 7) 585704041 n (n - 7) 5706552137 n (n - 7) - ---------------- - ---------------------- + ----------------------- n 14 n 14 n 14 432 n (n - 7) 108 n (n - 7) 144 n (n - 7) 12 n 11 n 32895795647 n (n - 7) 224715582793 n (n - 7) - ------------------------ + ------------------------- n 14 n 14 144 n (n - 7) 216 n (n - 7) 16 n 15 n 10 n 3474329 n (n - 7) 94220789 n (n - 7) 33571081037 n (n - 7) - -------------------- + --------------------- - ------------------------ n 14 n 14 n 14 72 n (n - 7) 162 n (n - 7) 9 n (n - 7) 6 n 5 n 126952924312 n (n - 7) 33514960480 n (n - 7) - ------------------------ + ----------------------- n 14 n 14 3 n (n - 7) n (n - 7) 8 n 9 n 606345799753 n (n - 7) 845514005704 n (n - 7) - ------------------------ + ------------------------ n 14 n 14 27 n (n - 7) 81 n (n - 7) 4 n 7 n 16017744000 n (n - 7) 326369228446 n (n - 7) - ----------------------- + ------------------------ n 14 n 14 n (n - 7) 9 n (n - 7) 3 n 4 n 3459456000 n (n - 7) 7720584000 n (n - 6) + ---------------------- + ---------------------- n 14 n 14 n (n - 7) n (n - 6) 7 n 3 n 19 n 135314062205 n (n - 6) 1729728000 n (n - 6) n (n - 5) - ------------------------ - ---------------------- + ----------------- n 14 n 14 n 14 9 n (n - 6) n (n - 6) 1296 n (n - 5) 15 n 5 27 n 5 26 n 5 256 n ((n - 1) ) n ((n - 1) ) n ((n - 1) ) + ------------------- + -------------------- - ------------------ 22 n 5 22 n 5 22 n 5 (n - 1) (n ) 1296 (n - 1) (n ) 36 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 295 n ((n - 1) ) 485 n ((n - 1) ) 12827 n ((n - 1) ) + ------------------- - ------------------- + --------------------- 22 n 5 22 n 5 22 n 5 648 (n - 1) (n ) 108 (n - 1) (n ) 432 (n - 1) (n ) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 1624 n ((n - 1) ) (n - 2) 2356 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 608 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 3741533 n ((n - 1) ) (n - 3) 2196007 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 72 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 4359382 n ((n - 1) ) (n - 3) 958518 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 14 n 5 8 14 n 5 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 12556042 n ((n - 1) ) (n - 3) 4341356 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1010160 n ((n - 1) ) (n - 3) 424128 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 11 n n 80640 n ((n - 1) ) (n - 3) 34274227715 n (n - 1) (n - 5) + ------------------------------ + --------------------------------- 14 n 5 8 2 n 2 14 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 5) 12 n n 7 n n 13478425688 n (n - 1) (n - 5) 1474927680 n (n - 1) (n - 5) - --------------------------------- + ------------------------------- 2 n 2 14 2 n 2 14 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 21381576733 n (n - 1) (n - 5) 345945600 n (n - 1) (n - 5) - --------------------------------- - ------------------------------ 2 n 2 14 2 n 2 14 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n 1195 n ((n - 1) ) (n - 4) 5689 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 166165 n ((n - 1) ) (n - 4) 129801 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------- 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 1051 n ((n - 1) ) (n - 3) 773 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 124423 n ((n - 1) ) (n - 3) 66245 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 3741533 n ((n - 1) ) (n - 3) 2196007 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 4359382 n ((n - 1) ) (n - 3) 958518 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 12556042 n ((n - 1) ) (n - 3) 4341356 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1010160 n ((n - 1) ) (n - 3) 424128 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 10 n n 80640 n ((n - 1) ) (n - 3) n (n - 1) (n - 2) - ------------------------------ - ------------------------- 12 n 4 8 2 n 2 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 5 n (n - 1) (n - 2) 35 n (n - 1) (n - 2) + ----------------------- - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 25 n (n - 1) (n - 2) 12 n (n - 1) (n - 2) + ----------------------- - ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 6126353 n ((n - 1) ) (n - 4) 8133547 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 37201591 n ((n - 1) ) (n - 4) 7234936 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 36 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 38436028 n ((n - 1) ) (n - 4) 5632466 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 5351516 n ((n - 1) ) (n - 4) 3454608 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 1353024 n ((n - 1) ) (n - 4) 241920 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 10799189 n ((n - 1) ) (n - 5) 48906053 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 86002873 n ((n - 1) ) (n - 5) 58906399 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 108 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 15 n 5 11 n 2 n 64 n ((n - 1) ) 2799157712 n ((n - 1) ) (n - 5) + ------------------ + ----------------------------------- 16 n 5 4 n 3 14 (n - 1) (n ) (n - 1) (n ) (n - 5) 14 n 2 n 34274227715 n ((n - 1) ) (n - 5) - ------------------------------------ 4 n 3 14 27 (n - 1) (n ) (n - 5) 15 n 2 n 13478425688 n ((n - 1) ) (n - 5) + ------------------------------------ 4 n 3 14 27 (n - 1) (n ) (n - 5) 10 n 2 n 1474927680 n ((n - 1) ) (n - 5) - ----------------------------------- 4 n 3 14 (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 21381576733 n ((n - 1) ) (n - 5) 345945600 n ((n - 1) ) (n - 5) + ------------------------------------ + --------------------------------- 4 n 3 14 4 n 3 14 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 33 n 7 32 n 7 31 n 7 n ((n - 1) ) n ((n - 1) ) 295 n ((n - 1) ) + ------------------- - ----------------- + ------------------- 26 n 7 26 n 7 26 n 7 216 (n - 1) (n ) 6 (n - 1) (n ) 108 (n - 1) (n ) 30 n 7 29 n 7 28 n 7 485 n ((n - 1) ) 12827 n ((n - 1) ) 2495 n ((n - 1) ) - ------------------- + --------------------- - -------------------- 26 n 7 26 n 7 26 n 7 18 (n - 1) (n ) 72 (n - 1) (n ) 3 (n - 1) (n ) 27 n 7 26 n 7 25 n 7 75883 n ((n - 1) ) 20780 n ((n - 1) ) 333602 n ((n - 1) ) + --------------------- - --------------------- + ---------------------- 26 n 7 26 n 7 26 n 7 27 (n - 1) (n ) 3 (n - 1) (n ) 27 (n - 1) (n ) 24 n 7 23 n 7 22 n 7 140000 n ((n - 1) ) 13120 n ((n - 1) ) 6656 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 26 n 7 26 n 7 26 n 7 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 25 n 6 24 n 6 23 n 6 2495 n ((n - 1) ) 75883 n ((n - 1) ) 10390 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 24 n 6 24 n 6 24 n 6 6 (n - 1) (n ) 54 (n - 1) (n ) 3 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 166801 n ((n - 1) ) 70000 n ((n - 1) ) 6560 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 24 n 6 24 n 6 24 n 6 27 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 19 n 6 18 n 6 30 n 6 3328 n ((n - 1) ) 768 n ((n - 1) ) n ((n - 1) ) + -------------------- - ------------------- - ------------------- 24 n 6 24 n 6 24 n 6 (n - 1) (n ) (n - 1) (n ) 432 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 n ((n - 1) ) 295 n ((n - 1) ) 485 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 24 n 6 24 n 6 24 n 6 12 (n - 1) (n ) 216 (n - 1) (n ) 36 (n - 1) (n ) 26 n 6 22 n 5 21 n 5 12827 n ((n - 1) ) 2495 n ((n - 1) ) 75883 n ((n - 1) ) - --------------------- - -------------------- + --------------------- 24 n 6 22 n 5 22 n 5 144 (n - 1) (n ) 18 (n - 1) (n ) 162 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 10390 n ((n - 1) ) 166801 n ((n - 1) ) 70000 n ((n - 1) ) - --------------------- + ---------------------- - --------------------- 22 n 5 22 n 5 22 n 5 9 (n - 1) (n ) 81 (n - 1) (n ) 27 (n - 1) (n ) 17 n 5 16 n 5 6560 n ((n - 1) ) 3328 n ((n - 1) ) + -------------------- - -------------------- 22 n 5 22 n 5 3 (n - 1) (n ) 3 (n - 1) (n ) 16 n 3 n 15 n 3 n 527917684 n ((n - 1) ) (n - 4) 66862312 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 9 n 4 11 9 n 4 11 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 51155648 n ((n - 1) ) (n - 4) 23445120 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 21 n 2 n 4838400 n ((n - 1) ) (n - 4) 689521 n ((n - 1) ) (n - 5) + -------------------------------- + ------------------------------- 9 n 4 11 7 n 3 11 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 5) 19 n 2 n 20 n 2 n 51534905 n ((n - 1) ) (n - 5) 6899227 n ((n - 1) ) (n - 5) + --------------------------------- - -------------------------------- 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 22 n 2 n 16 n 2 n 49741 n ((n - 1) ) (n - 5) 1082156108 n ((n - 1) ) (n - 5) - ------------------------------ - ----------------------------------- 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 18 n 2 n 12 n 2 n 293087663 n ((n - 1) ) (n - 5) 318604896 n ((n - 1) ) (n - 5) - ---------------------------------- - ---------------------------------- 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 17 n 2 n 228067712 n ((n - 1) ) (n - 5) 641130325 n ((n - 1) ) (n - 5) + ---------------------------------- + ---------------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 14 n 2 n 5540352764 n ((n - 1) ) (n - 5) - ----------------------------------- 7 n 3 11 27 (n - 1) (n ) (n - 5) 15 n 2 n 10 n 2 n 2808268064 n ((n - 1) ) (n - 5) 98618880 n ((n - 1) ) (n - 5) + ----------------------------------- - --------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 2713431544 n ((n - 1) ) (n - 5) 19353600 n ((n - 1) ) (n - 5) + ----------------------------------- + -------------------------------- 7 n 3 11 7 n 3 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 73 n ((n - 1) ) (n - 5) 2443 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 25 n 2 n 24 n 2 n n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) + ---------------------------- + ---------------------------- 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 4) 23 n 2 n 7 n n 23 n ((n - 1) ) (n - 4) 7720584000 n (n - 1) (n - 6) - --------------------------- - ------------------------------- 7 n 3 11 2 n 2 14 36 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 6) 10 n n 6 n n 135314062205 n (n - 1) (n - 6) 1729728000 n (n - 1) (n - 6) + ---------------------------------- + ------------------------------- 2 n 2 14 2 n 2 14 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 22 n n 20 n n n (n - 1) (n - 5) 286 n (n - 1) (n - 5) - ---------------------------- - --------------------------- 2 n 2 14 2 n 2 14 432 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 21 n n 17 n n 25 n (n - 1) (n - 5) 8099455 n (n - 1) (n - 5) + ---------------------------- + ----------------------------- 2 n 2 14 2 n 2 14 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 16 n n 15 n n 40698229 n (n - 1) (n - 5) 618767435 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 2 n 2 14 2 n 2 14 54 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 14 n n 19 n n 14365627133 n (n - 1) (n - 5) 31765 n (n - 1) (n - 5) - --------------------------------- + ---------------------------- 2 n 2 14 2 n 2 14 432 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 18 n n 13 n n 1196741 n (n - 1) (n - 5) 3986760635 n (n - 1) (n - 5) - ----------------------------- + -------------------------------- 2 n 2 14 2 n 2 14 216 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 9 n n 8 n n 3156242060 n (n - 1) (n - 5) 2799157712 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 2 n 2 14 2 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 13 n 14 n 16 n (n - 5) 7871 n (n - 5) 1841 n (n - 5) - --------------- - ----------------- + ----------------- n 11 n 11 n 11 3 n (n - 5) 3 n (n - 5) 12 n (n - 5) 16 n 10 n 12 n n (n - 5) 16073123 n (n - 5) 118921 n (n - 5) + --------------- + --------------------- + ------------------- n 11 n 11 n 11 12 n (n - 5) 12 n (n - 5) 4 n (n - 5) 6 n 5 n 11 n 52725628 n (n - 5) 51257472 n (n - 5) 235466 n (n - 5) + -------------------- - -------------------- - ------------------- n 11 n 11 n 11 n (n - 5) n (n - 5) n (n - 5) 8 n 9 n 4 n 49732144 n (n - 5) 16600463 n (n - 5) 29119680 n (n - 5) + -------------------- - -------------------- + -------------------- n 11 n 11 n 11 3 n (n - 5) 3 n (n - 5) n (n - 5) 7 n 3 n 106516036 n (n - 5) 7257600 n (n - 5) - --------------------- - ------------------- n 11 n 11 3 n (n - 5) n (n - 5) 15 n 2 n 14 n 2 n 125255260 n ((n - 1) ) (n - 5) 204436306 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 10 n 3 8 10 n 3 8 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 27881380 n ((n - 1) ) (n - 5) 24860672 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 5057152 n ((n - 1) ) (n - 5) 1884672 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 25 n 2 n 322560 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 5) + ------------------------------ + ---------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 55 n ((n - 1) ) (n - 5) 1399 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 5) 22 n 2 n 21 n 2 n 21847 n ((n - 1) ) (n - 5) 234433 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 5) 20 n 2 n 24 n 2 n 1832869 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 17 n ((n - 1) ) (n - 4) 1195 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 24 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 5689 n ((n - 1) ) (n - 4) 166165 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 24 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 19 n 2 n 23 n 2 n 129801 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 3) - ------------------------------- + ---------------------------- 10 n 3 8 10 n 3 8 8 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 2 n ((n - 1) ) (n - 3) 1051 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 773 n ((n - 1) ) (n - 3) 124423 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 66245 n ((n - 1) ) (n - 3) 3741533 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 10 n 3 8 10 n 3 8 18 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 2196007 n ((n - 1) ) (n - 3) 4359382 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 319506 n ((n - 1) ) (n - 3) 12556042 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 4341356 n ((n - 1) ) (n - 3) 336720 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 141376 n ((n - 1) ) (n - 3) 26880 n ((n - 1) ) (n - 3) - ------------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 2167 n ((n - 1) ) (n - 4) 13691 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 525229 n ((n - 1) ) (n - 4) 1599437 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 32341661 n ((n - 1) ) (n - 4) 54573673 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 11 7 n 3 11 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 16 n 2 n 31 n 5 n 313688287 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------- 7 n 3 11 22 n 6 2 54 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 37 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 22 n 6 2 22 n 6 2 432 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 3205 n ((n - 1) ) (n - 2) 14767 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 22 n 6 2 22 n 6 2 216 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 72707 n ((n - 1) ) (n - 2) 49169 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 22 n 6 2 22 n 6 2 144 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 24 n 5 n 25 n 4 n 262903 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------- + --------------------------- 22 n 6 2 14 n 5 5 54 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 14 n 5 5 14 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 29306 n ((n - 1) ) (n - 2) 9096 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 14 n 5 5 14 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 4896 n ((n - 1) ) (n - 2) 1152 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 38942 n ((n - 1) ) (n - 3) 23240 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 15 n 2 n 85900 n ((n - 1) ) (n - 3) 151593178 n ((n - 1) ) (n - 4) - ------------------------------ - ---------------------------------- 12 n 4 5 7 n 3 11 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 989149928 n ((n - 1) ) (n - 4) 527917684 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 66862312 n ((n - 1) ) (n - 4) 51155648 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 23445120 n ((n - 1) ) (n - 4) 4838400 n ((n - 1) ) (n - 4) + --------------------------------- - ------------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 16 n n 689521 n (n - 1) (n - 5) 51534905 n (n - 1) (n - 5) - ---------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 17 n n 19 n n 6899227 n (n - 1) (n - 5) 49741 n (n - 1) (n - 5) + ----------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 13 n n 15 n n 1082156108 n (n - 1) (n - 5) 293087663 n (n - 1) (n - 5) + -------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 9 n n 8 n n 318604896 n (n - 1) (n - 5) 228067712 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 11 n n 641130325 n (n - 1) (n - 5) 5540352764 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 5 n 2 11 5 n 2 11 54 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 12 n n 7 n n 2808268064 n (n - 1) (n - 5) 98618880 n (n - 1) (n - 5) - -------------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 2713431544 n (n - 1) (n - 5) 19353600 n (n - 1) (n - 5) - -------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n n 18 n n 1721 n (n - 1) (n - 6) 95804 n (n - 1) (n - 6) + -------------------------- + --------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 16 n n 17 n n 45896849 n (n - 1) (n - 6) 21507760 n (n - 1) (n - 6) + ------------------------------ - ------------------------------ 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 6) 81 (n - 1) (n ) (n - 6) 19 n n 13 n n 156371 n (n - 1) (n - 6) 2739682868 n (n - 1) (n - 6) - ---------------------------- - -------------------------------- 5 n 2 11 5 n 2 11 54 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 15 n n 9 n n 305299885 n (n - 1) (n - 6) 1821092192 n (n - 1) (n - 6) - ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 36 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 8 n n 14 n n 1238957440 n (n - 1) (n - 6) 596662649 n (n - 1) (n - 6) + ------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 11 n n 12 n n 35842058452 n (n - 1) (n - 6) 725247892 n (n - 1) (n - 6) - --------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 81 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 7 n n 10 n n 170816000 n (n - 1) (n - 6) 16434601784 n (n - 1) (n - 6) - ------------------------------ + --------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 6 n n 23 n n 32256000 n (n - 1) (n - 6) n (n - 1) (n - 6) + ----------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 6) 324 (n - 1) (n ) (n - 6) 22 n n 21 n n 13 n (n - 1) (n - 6) 26 n (n - 1) (n - 6) + --------------------------- - -------------------------- 5 n 2 11 5 n 2 11 54 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 21 n n 20 n n 73 n (n - 1) (n - 5) 2443 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 22 n n 21 n n n (n - 1) (n - 5) n (n - 1) (n - 4) - ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 4) 20 n n 19 n n 23 n (n - 1) (n - 4) 2167 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 18 n n 17 n n 13691 n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 12 n n 11 n n 151593178 n (n - 1) (n - 4) 989149928 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 10 n n 9 n n 527917684 n (n - 1) (n - 4) 66862312 n (n - 1) (n - 4) + ------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 51155648 n (n - 1) (n - 4) 7815040 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 26 n 3 n 1612800 n (n - 1) (n - 4) 2 n ((n - 1) ) (n - 4) + ---------------------------- + --------------------------- 5 n 2 11 6 n 4 14 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 27 n 3 n 23 n 3 n n ((n - 1) ) (n - 4) 976157 n ((n - 1) ) (n - 4) - ----------------------------- - ------------------------------- 6 n 4 14 6 n 4 14 1296 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 2049047 n ((n - 1) ) (n - 4) 28403947 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 6 n 4 14 6 n 4 14 108 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 20 n 3 n 25 n 3 n 130511953 n ((n - 1) ) (n - 4) 262 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------- 6 n 4 14 6 n 4 14 108 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 24 n 3 n 19 n 3 n 9191 n ((n - 1) ) (n - 4) 8101053389 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------------- 6 n 4 14 6 n 4 14 108 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 211935851 n ((n - 1) ) (n - 4) 613011848 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 6 n 4 14 6 n 4 14 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 17 n 3 n 5632436537 n ((n - 1) ) (n - 4) - ----------------------------------- 6 n 4 14 81 (n - 1) (n ) (n - 4) 18 n 3 n 13 n 3 n 2615329717 n ((n - 1) ) (n - 4) 115703440 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 6 n 4 14 6 n 4 14 108 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 12 n 3 n 3914827189 n ((n - 1) ) (n - 4) 28828800 n ((n - 1) ) (n - 4) + ----------------------------------- + --------------------------------- 6 n 4 14 6 n 4 14 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 2 n 23 n 2 n n ((n - 1) ) (n - 5) 286 n ((n - 1) ) (n - 5) + ---------------------------- + ---------------------------- 4 n 3 14 4 n 3 14 432 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 24 n 2 n 20 n 2 n 25 n ((n - 1) ) (n - 5) 8099455 n ((n - 1) ) (n - 5) - ---------------------------- - -------------------------------- 4 n 3 14 4 n 3 14 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 40698229 n ((n - 1) ) (n - 5) 618767435 n ((n - 1) ) (n - 5) + --------------------------------- - ---------------------------------- 4 n 3 14 4 n 3 14 54 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 14365627133 n ((n - 1) ) (n - 5) 31765 n ((n - 1) ) (n - 5) + ------------------------------------ - ------------------------------ 4 n 3 14 4 n 3 14 432 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 21 n 2 n 16 n 2 n 1196741 n ((n - 1) ) (n - 5) 3986760635 n ((n - 1) ) (n - 5) + -------------------------------- - ----------------------------------- 4 n 3 14 4 n 3 14 216 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 12 n 2 n 12 n n 3156242060 n ((n - 1) ) (n - 5) 4361 n (n - 1) (n - 4) - ----------------------------------- + -------------------------- 4 n 3 14 2 n 2 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 43169 n (n - 1) (n - 4) 137053 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 2 n 2 8 2 n 2 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 9 n n 8 n n 417697 n (n - 1) (n - 4) 87017 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n n 7 60438 n (n - 1) (n - 4) 17640 n (n - 1) (n - 4) (n - 2) n - -------------------------- + -------------------------- + ------------- 2 n 2 8 2 n 2 8 5 n (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 21 n 7 19 n 4 n 1536 n ((n - 1) ) 371208956 n ((n - 1) ) (n - 3) + -------------------- + ---------------------------------- 26 n 7 11 n 5 11 (n - 1) (n ) 81 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 156708728 n ((n - 1) ) (n - 3) 43878208 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 11 n 5 11 11 n 5 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 7277440 n ((n - 1) ) (n - 3) 537600 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 11 n 5 11 11 n 5 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 11 n 5 11 11 n 5 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 1969 n ((n - 1) ) (n - 3) 5861 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 11 n 5 11 11 n 5 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 419731 n ((n - 1) ) (n - 3) 589853 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 5 11 11 n 5 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 12 n 11 n 10 n 9 n 7 n (n - 4) 77 n (n - 4) 273 n (n - 4) 4361 n (n - 4) + -------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 12 n (n - 4) 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 43169 n (n - 4) 137053 n (n - 4) 417697 n (n - 4) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 6 n (n - 4) 5 n 4 n 3 n 87017 n (n - 4) 60438 n (n - 4) 17640 n (n - 4) - ----------------- + ----------------- - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 22 n n 20 n n 35 n (n - 1) (n - 6) 4165 n (n - 1) (n - 6) + ---------------------------- + --------------------------- 2 n 2 14 2 n 2 14 144 (n - 1) (n ) (n - 6) 12 (n - 1) (n ) (n - 6) 21 n n 23 n n 47 n (n - 1) (n - 6) n (n - 1) (n - 6) - -------------------------- - ---------------------------- 2 n 2 14 2 n 2 14 4 (n - 1) (n ) (n - 6) 432 (n - 1) (n ) (n - 6) 17 n n 16 n n 121893733 n (n - 1) (n - 6) 341916575 n (n - 1) (n - 6) - ------------------------------- + ------------------------------- 2 n 2 14 2 n 2 14 108 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 6) 15 n n 14 n n 2971219537 n (n - 1) (n - 6) 15068478425 n (n - 1) (n - 6) - -------------------------------- + --------------------------------- 2 n 2 14 2 n 2 14 48 (n - 1) (n ) (n - 6) 48 (n - 1) (n ) (n - 6) 19 n n 18 n n 504797 n (n - 1) (n - 6) 2464735 n (n - 1) (n - 6) - ---------------------------- + ----------------------------- 2 n 2 14 2 n 2 14 72 (n - 1) (n ) (n - 6) 24 (n - 1) (n ) (n - 6) 13 n n 9 n n 11137409621 n (n - 1) (n - 6) 18580368012 n (n - 1) (n - 6) - --------------------------------- - -------------------------------- 2 n 2 14 2 n 2 14 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 11 n n 15470716240 n (n - 1) (n - 6) 235515868774 n (n - 1) (n - 6) + -------------------------------- - ---------------------------------- 2 n 2 14 2 n 2 14 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 12 n n 8 n 7 n 11296261795 n (n - 1) (n - 6) n (n - 3) 6 n (n - 3) + --------------------------------- + ------------- - ------------- 2 n 2 14 n 5 n 5 3 (n - 1) (n ) (n - 6) 2 n (n - 3) n (n - 3) 6 n 5 n 4 n 3 n 55 n (n - 3) 60 n (n - 3) 62 n (n - 3) 24 n (n - 3) + -------------- - -------------- + -------------- - -------------- n 5 n 5 n 5 n 5 2 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 14 n n 13 n n 1135 n (n - 1) (n - 3) 14891 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n n 11 n n 22183 n (n - 1) (n - 3) 309886 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 222520 n (n - 1) (n - 3) 976688 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 307544 n (n - 1) (n - 3) 56128 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n n 13440 n (n - 1) (n - 3) n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 17 n 15 n 13 n n (n - 6) 2161 n (n - 6) 514183 n (n - 6) + --------------- + ----------------- + ------------------- n 11 n 11 n 11 36 n (n - 6) 36 n (n - 6) 36 n (n - 6) 14 n 16 n 10 n 4521 n (n - 6) 23 n (n - 6) 48922489 n (n - 6) - ----------------- - --------------- - --------------------- n 11 n 11 n 11 4 n (n - 6) 12 n (n - 6) 12 n (n - 6) 12 n 6 n 5 n 1536469 n (n - 6) 314885612 n (n - 6) 95135680 n (n - 6) - -------------------- - --------------------- + -------------------- n 11 n 11 n 11 12 n (n - 6) 3 n (n - 6) n (n - 6) 11 n 8 n 9 n 30201083 n (n - 6) 39464084 n (n - 6) 132734459 n (n - 6) + --------------------- - -------------------- + --------------------- n 11 n 11 n 11 36 n (n - 6) n (n - 6) 9 n (n - 6) 4 n 7 n 3 n 50952000 n (n - 6) 690757064 n (n - 6) 12096000 n (n - 6) - -------------------- + --------------------- + -------------------- n 11 n 11 n 11 n (n - 6) 9 n (n - 6) n (n - 6) 15 n 4 14 n 4 13 n 4 n ((n - 1) ) 3 n ((n - 1) ) 13 n ((n - 1) ) - ----------------- + ----------------- - ------------------ 11 n 4 11 n 4 11 n 4 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) 9 n 8 n 7 n 6 n n (n - 4) 5 n (n - 4) 91 n (n - 4) 95 n (n - 4) + ------------- - ------------- + -------------- - -------------- n 5 n 5 n 5 n 5 6 n (n - 4) 2 n (n - 4) 6 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 242 n (n - 4) 70 n (n - 4) 24 n (n - 4) + --------------- - -------------- + -------------- n 5 n 5 n 5 3 n (n - 4) n (n - 4) n (n - 4) 16 n 3 n 15 n 3 n 222520 n ((n - 1) ) (n - 3) 976688 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 307544 n ((n - 1) ) (n - 3) 168384 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 40320 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 7 n ((n - 1) ) (n - 4) + ------------------------- - -------------------------- 7 n 3 8 7 n 3 8 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 12 n 4 791 n ((n - 1) ) (n - 4) 4 n ((n - 1) ) + ---------------------------- + ----------------- 7 n 3 8 11 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) 24 n 4 n 23 n 4 n 102241 n ((n - 1) ) (n - 3) 611473 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 17 n 5 5 17 n 5 5 36 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 306386 n ((n - 1) ) (n - 3) 2092856 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 17 n 5 5 17 n 5 5 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 17 n 5 5 17 n 5 5 108 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 313 n ((n - 1) ) (n - 2) 3205 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 17 n 5 5 17 n 5 5 54 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 14767 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 17 n 5 5 17 n 5 5 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 22 n 4 n 17 n 3 n 196676 n ((n - 1) ) (n - 2) 1196564 n ((n - 1) ) (n - 3) + ------------------------------- + -------------------------------- 17 n 5 5 15 n 4 5 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 4562888 n ((n - 1) ) (n - 3) 1388288 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 95488 n ((n - 1) ) (n - 3) 35840 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 4 n 6144 n ((n - 1) ) (n - 3) 1196564 n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------------- 15 n 4 5 17 n 5 5 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 4562888 n ((n - 1) ) (n - 3) 1388288 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 95488 n ((n - 1) ) (n - 3) 35840 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 17 n 5 5 17 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 19 n 4 n 6144 n ((n - 1) ) (n - 3) 1507204 n ((n - 1) ) (n - 2) + ----------------------------- - -------------------------------- 17 n 5 5 17 n 5 5 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 516160 n ((n - 1) ) (n - 2) 39552 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 17 n 5 5 17 n 5 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 16384 n ((n - 1) ) (n - 2) 3072 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 17 n 5 5 17 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 525806 n ((n - 1) ) (n - 2) 1041244 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 17 n 5 5 17 n 5 5 108 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 175 n ((n - 1) ) (n - 3) 1277 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 25 n 4 n 18 n 4 n 57121 n ((n - 1) ) (n - 3) 347072 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 17 n 5 5 20 n 5 2 108 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 20 n 5 2 20 n 5 2 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 313 n ((n - 1) ) (n - 2) 3205 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 20 n 5 2 20 n 5 2 216 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 14767 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 20 n 5 2 20 n 5 2 144 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 49169 n ((n - 1) ) (n - 2) 262903 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 20 n 5 2 20 n 5 2 27 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 260311 n ((n - 1) ) (n - 2) 376801 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 20 n 5 2 20 n 5 2 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 129040 n ((n - 1) ) (n - 2) 9888 n ((n - 1) ) (n - 2) + ------------------------------- - ----------------------------- 20 n 5 2 20 n 5 2 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 23872 n ((n - 1) ) (n - 3) 8960 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 20 n 5 2 20 n 5 2 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 4 n 16 n 4 n 512 n ((n - 1) ) (n - 3) 4096 n ((n - 1) ) (n - 2) + ---------------------------- + ----------------------------- 20 n 5 2 20 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 15 n 4 n 29 n 5 n 768 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) - ---------------------------- - ---------------------------- 20 n 5 2 19 n 6 5 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 3205 n ((n - 1) ) (n - 2) 14767 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 6 5 19 n 6 5 54 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 26 n 5 n 31 n 5 n 72707 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 19 n 6 5 19 n 6 5 36 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 30 n 5 n 25 n 5 n 37 n ((n - 1) ) (n - 2) 196676 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------- 19 n 6 5 19 n 6 5 108 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 516160 n ((n - 1) ) (n - 2) 39552 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 19 n 6 5 19 n 6 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 24 n 5 n 1041244 n ((n - 1) ) (n - 2) 525806 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 19 n 6 5 19 n 6 5 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 19 n 5 n 22 n 5 n 16384 n ((n - 1) ) (n - 2) 1507204 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------------- 19 n 6 5 19 n 6 5 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 3072 n ((n - 1) ) (n - 2) 260311 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------- 19 n 6 5 22 n 6 2 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 376801 n ((n - 1) ) (n - 2) 129040 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 22 n 6 2 22 n 6 2 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 9888 n ((n - 1) ) (n - 2) 4096 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 22 n 6 2 22 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 29 n 4 n 768 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ---------------------------- + ----------------------------- 22 n 6 2 20 n 5 2 (n - 1) (n ) (n - 2) 1296 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 13 n ((n - 1) ) (n - 3) 175 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 20 n 5 2 20 n 5 2 432 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 1277 n ((n - 1) ) (n - 3) 57121 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 20 n 5 2 20 n 5 2 216 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 102241 n ((n - 1) ) (n - 3) 611473 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 20 n 5 2 20 n 5 2 432 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 153193 n ((n - 1) ) (n - 3) 523214 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 20 n 5 2 20 n 5 2 54 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 299141 n ((n - 1) ) (n - 3) 1140722 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 20 n 5 2 20 n 5 2 27 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 27 n 6 26 n 6 25 n 6 n ((n - 1) ) 3 n ((n - 1) ) 107 n ((n - 1) ) - ------------------ + ----------------- - ------------------- 21 n 6 21 n 6 21 n 6 36 (n - 1) (n ) 4 (n - 1) (n ) 12 (n - 1) (n ) 24 n 6 23 n 6 22 n 6 245 n ((n - 1) ) 1607 n ((n - 1) ) 773 n ((n - 1) ) + ------------------- - -------------------- + ------------------- 21 n 6 21 n 6 21 n 6 4 (n - 1) (n ) 6 (n - 1) (n ) (n - 1) (n ) 21 n 6 20 n 6 19 n 6 13250 n ((n - 1) ) 1784 n ((n - 1) ) 1248 n ((n - 1) ) - --------------------- + -------------------- - -------------------- 21 n 6 21 n 6 21 n 6 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 4) 23 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 9 n 4 11 9 n 4 11 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n 2167 n ((n - 1) ) (n - 4) 13691 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 9 n 4 11 9 n 4 11 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 525229 n ((n - 1) ) (n - 4) 1599437 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 32341661 n ((n - 1) ) (n - 4) 54573673 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 9 n 4 11 9 n 4 11 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 313688287 n ((n - 1) ) (n - 4) 151593178 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n 3 n 18 n 3 n 989149928 n ((n - 1) ) (n - 4) 3289420 n ((n - 1) ) (n - 4) - ---------------------------------- + -------------------------------- 9 n 4 11 15 n 4 5 27 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 15331964 n ((n - 1) ) (n - 4) 5951176 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 1674752 n ((n - 1) ) (n - 4) 322304 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 37888 n ((n - 1) ) (n - 4) 6144 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1507204 n ((n - 1) ) (n - 2) 516160 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 13184 n ((n - 1) ) (n - 2) 16384 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 3 n 27 n 3 n 1024 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n 7 n ((n - 1) ) (n - 4) 817 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 54 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 1627 n ((n - 1) ) (n - 4) 80107 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 15 n 4 5 15 n 4 5 54 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 79681 n ((n - 1) ) (n - 4) 2143115 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 15 n 4 5 15 n 4 5 54 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 20 n 3 n 21 n 2 n 1224245 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + -------------------------------- + --------------------------- 15 n 4 5 10 n 3 5 54 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 11 n ((n - 1) ) (n - 4) 247 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 935 n ((n - 1) ) (n - 2) 3717 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 11 n 5 8 11 n 5 8 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 14749 n ((n - 1) ) (n - 2) 177145 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 11 n 5 8 11 n 5 8 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 313270 n ((n - 1) ) (n - 2) 116716 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 11 n 5 8 11 n 5 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 24704 n ((n - 1) ) (n - 2) 6720 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 11 n 5 8 11 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 11 n 5 8 11 n 5 8 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 3 n 100 n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 3) + ---------------------------- + --------------------------- 11 n 5 8 9 n 4 8 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 337 n ((n - 1) ) (n - 3) 1135 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 14891 n ((n - 1) ) (n - 3) 66549 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 9 n 4 8 9 n 4 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 3 n 19 n 2 n 309886 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------- 9 n 4 8 10 n 3 5 3 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 29306 n ((n - 1) ) (n - 2) 3032 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1632 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n 13 n (n - 1) (n - 3) 337 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 8 5 n 2 8 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 7 n (n - 1) (n - 4) 77 n (n - 1) (n - 4) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 11 n 10 n 273 n (n - 1) (n - 4) 7 n (n - 3) 35 n (n - 3) - ------------------------- + -------------- - --------------- 2 n 2 8 n 8 n 8 (n - 1) (n ) (n - 4) 36 n (n - 3) 6 n (n - 3) 9 n 8 n 7 n 147 n (n - 3) 1519 n (n - 3) 24941 n (n - 3) + --------------- - ---------------- + ----------------- n 8 n 8 n 8 2 n (n - 3) 3 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 31115 n (n - 3) 68831 n (n - 3) 6062 n (n - 3) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 6 n (n - 3) 9 n (n - 3) n (n - 3) 3 n 1960 n (n - 3) + ---------------- n 8 n (n - 3) and in Maple notation 1/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-5*n^12*((n-1)^n)^2/(n-1)^4 /(n^n)^3*(n-2)^n/(n-2)^5+35/2*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-\ 25*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+12*n^9*((n-1)^n)^2/(n-1)^4/ (n^n)^3*(n-2)^n/(n-2)^5-1/2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+6*n^10 *(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-55/2*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^5+60*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-62*n^7*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^5+24*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-1/12*n ^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+7/3*n^21*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-2)^n/(n-2)^5-29*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+ 421/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-3949/4*n^18*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+6245/2*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2 )^n/(n-2)^5-20207/3*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+29306/3*n ^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-9096*n^14*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-2)^n/(n-2)^5+4896*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5 -1152*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+38942/3*n^14*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-23240*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3 )^n/(n-3)^5+85900/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-23088*n^ 11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+10944*n^10*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-3)^n/(n-3)^5-2304*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+ 1/12*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5/2*n^19*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-3)^n/(n-3)^5+101/3*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/( n-3)^5-537/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+5633/4*n^16*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5097*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-3)^n/(n-3)^5-13/2*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+337/3*n^ 18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-1135*n^17*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-3)^n/(n-3)^8+14891/2*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-\ 66549/2*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+309886/3*n^14*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-222520*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 3)^n/(n-3)^8+976688/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-307544*n ^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+168384*n^10*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-3)^n/(n-3)^8-40320*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+ 1/6*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-1/6*n^18*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^8+7*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-791/6*n^ 16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^5+19/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-151/9*n^11*(n-1) ^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^5-1624/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+2356/9*n^8*(n-1)^n/(n -1)^5/(n^n)^2*(n-2)^n/(n-2)^5-608/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5 +64*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+1472*n^15*(n-1)^n/(n-1)^5/(n^n) ^2*(n-4)^n/(n-4)^8-21701/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+55611*n ^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1218713/6*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^8+532406*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-2979368 /3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1284232*n^9*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^8-1091016*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+545472 *n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-120960*n^6*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^8-1/12*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+5*n^17*(n-1 )^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-1601/12*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-4) ^n/(n-4)^11+2090*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-85481/4*n^14*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+149985*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4) ^n/(n-4)^11-8873843/12*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+2575540*n^ 11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-18825664/3*n^10*(n-1)^n/(n-1)^2/(n^ n)^2*(n-4)^n/(n-4)^11+10404460*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-\ 11107788*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+6826320*n^7*(n-1)^n/(n-1) ^2/(n^n)^2*(n-4)^n/(n-4)^11-1814400*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^ 11-2090*n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+85481/4*n^17*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-149985*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -4)^n/(n-4)^11+8873843/12*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-\ 2575540*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+18825664/3*n^13*((n-1 )^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-10404460*n^12*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-4)^n/(n-4)^11+11107788*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-\ 6826320*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+1814400*n^9*((n-1)^n) ^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+16/3*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/( n-5)^11+7871/3*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-1841/12*n^17*(n-1) ^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-1/12*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/( n-5)^11-16073123/12*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-118921/4*n^15 *(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-52725628*n^9*(n-1)^n/(n-1)^2/(n^n)^2* (n-5)^n/(n-5)^11+51257472*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+235466*n ^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-49732144/3*n^11*(n-1)^n/(n-1)^2/(n ^n)^2*(n-5)^n/(n-5)^11+16600463/3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11 -29119680*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+106516036/3*n^10*(n-1)^n /(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+7257600*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/( n-5)^11-1472*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+21701/2*n^17*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-55611*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3* (n-4)^n/(n-4)^8+1218713/6*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-\ 532406*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+2979368/3*n^13*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-1284232*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n -4)^n/(n-4)^8+1091016*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-545472*n ^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+120960*n^9*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-4)^n/(n-4)^8-1/18*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+23/9* n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-959/18*n^17*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-5)^n/(n-5)^8+5998/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-11159/2*n ^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+99013/3*n^14*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-5)^n/(n-5)^8-2553377/18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+ 4034644/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-9368240/9*n^11*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+15770168/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/ (n-5)^8-6227944/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+1636512*n^8*(n-1) ^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8-767616*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/( n-5)^8+161280*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^8+13440*n^18*((n-1)^n)^ 5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^8-1/216*n^31*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2 )^n/(n-2)^8+23/108*n^30*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^8-959/216*n^ 29*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^8+2999/54*n^28*((n-1)^n)^5/(n-1)^ 16/(n^n)^6*(n-2)^n/(n-2)^8-11159/24*n^27*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/( n-2)^8+99013/36*n^26*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^8+1/72*n^29*((n 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12/(n^n)^4*(n-3)^n/(n-3)^5-10944*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3 )^5+2304*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-1/12*n^23*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+5/2*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^ n/(n-3)^5-101/3*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+537/2*n^20*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-5633/4*n^19*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-3)^n/(n-3)^5+5097*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+ 84815/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-62182/3*n^14*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+295060/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-4)^n/(n-4)^5-108988/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+ 26736*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-11712*n^10*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+2304*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/ (n-4)^5-739/6*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+8855/12*n^17*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-12429/4*n^16*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-4)^n/(n-4)^5-47383/36*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8 +22981/9*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8-2541*n^13*((n-1)^n)^3 /(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^8+980*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/( n-2)^8+7/12*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-35/2*n^16*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+441/2*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3 )^n/(n-3)^8-1519*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+24941/4*n^13* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-31115/2*n^12*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-3)^n/(n-3)^8+68831/3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-\ 18186*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+5880*n^9*((n-1)^n)^2/(n-\ 1)^4/(n^n)^3*(n-3)^n/(n-3)^8+506/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5 -1925/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+4790/3*n^10*(n-1)^n/(n-1)^ 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9/(n^n)^4*(n-2)^n/(n-2)^5+192*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-\ 317*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+974*n^13*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-3)^n/(n-3)^5-1868*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^ 5+6536/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-1408*n^10*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+384*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n -3)^5+1/3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-7*n^16*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+63*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3 )^5+1/36/(n^n)*n^15*(n-4)^n/(n-4)^11-5/3/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/36/(n ^n)*n^13*(n-4)^n/(n-4)^11-2090/3/(n^n)*n^12*(n-4)^n/(n-4)^11+85481/12/(n^n)*n^ 11*(n-4)^n/(n-4)^11-49995/(n^n)*n^10*(n-4)^n/(n-4)^11+8873843/36/(n^n)*n^9*(n-4 )^n/(n-4)^11-2575540/3/(n^n)*n^8*(n-4)^n/(n-4)^11+18825664/9/(n^n)*n^7*(n-4)^n/ (n-4)^11-10404460/3/(n^n)*n^6*(n-4)^n/(n-4)^11+3702596/(n^n)*n^5*(n-4)^n/(n-4)^ 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n)^5+12827/432*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^5+1/3*n^16*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-2)^n/(n-2)^5-19/3*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+ 151/3*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-649/3*n^13*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1624/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/ (n-2)^5-2356/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+608*n^10*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-192*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2) ^n/(n-2)^5+3741533/72*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8-2196007 /12*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8+4359382/9*n^21*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8-958518*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 3)^n/(n-3)^8+12556042/9*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8-\ 4341356/3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8+1010160*n^17*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8-424128*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5 *(n-3)^n/(n-3)^8+80640*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8+ 34274227715/27*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-13478425688/27*n^ 12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+1474927680*n^7*(n-1)^n/(n-1)^2/(n^n )^2*(n-5)^n/(n-5)^14-21381576733/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^ 14-345945600*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-1/72*n^27*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+17/24*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4) ^n/(n-4)^8-1195/72*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+5689/24*n^ 24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8-166165/72*n^23*((n-1)^n)^3/(n-1 )^12/(n^n)^4*(n-4)^n/(n-4)^8+129801/8*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n /(n-4)^8-1/72*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+2/3*n^25*((n-1) ^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-1051/72*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^ 4*(n-3)^n/(n-3)^8+773/4*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-\ 124423/72*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+66245/6*n^21*((n-1) ^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-3741533/72*n^20*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-3)^n/(n-3)^8+2196007/12*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3) ^8-4359382/9*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+958518*n^17*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-12556042/9*n^16*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-3)^n/(n-3)^8+4341356/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3 )^8-1010160*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+424128*n^13*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-80640*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-3)^n/(n-3)^8-1/2*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+5*n^9*(n-1)^n /(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-35/2*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2) ^5+25*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-12*n^6*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-2)^n/(n-2)^5-6126353/72*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+ 8133547/24*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8-37201591/36*n^19*( (n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+7234936/3*n^18*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-4)^n/(n-4)^8-38436028/9*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/( n-4)^8+5632466*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8-5351516*n^15*( (n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+3454608*n^14*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-4)^n/(n-4)^8-1353024*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^ 8+241920*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+10799189/216*n^19*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-48906053/216*n^18*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-5)^n/(n-5)^8+86002873/108*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5) ^n/(n-5)^8-58906399/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+64*n^ 15*((n-1)^n)^5/(n-1)^16/(n^n)^5+2799157712*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 5)^n/(n-5)^14-34274227715/27*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+ 13478425688/27*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-1474927680*n^ 10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+21381576733/9*n^13*((n-1)^n)^2/ (n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+345945600*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5 )^n/(n-5)^14+1/216*n^33*((n-1)^n)^7/(n-1)^26/(n^n)^7-1/6*n^32*((n-1)^n)^7/(n-1) ^26/(n^n)^7+295/108*n^31*((n-1)^n)^7/(n-1)^26/(n^n)^7-485/18*n^30*((n-1)^n)^7/( n-1)^26/(n^n)^7+12827/72*n^29*((n-1)^n)^7/(n-1)^26/(n^n)^7-2495/3*n^28*((n-1)^n )^7/(n-1)^26/(n^n)^7+75883/27*n^27*((n-1)^n)^7/(n-1)^26/(n^n)^7-20780/3*n^26*(( n-1)^n)^7/(n-1)^26/(n^n)^7+333602/27*n^25*((n-1)^n)^7/(n-1)^26/(n^n)^7-140000/9 *n^24*((n-1)^n)^7/(n-1)^26/(n^n)^7+13120*n^23*((n-1)^n)^7/(n-1)^26/(n^n)^7-6656 *n^22*((n-1)^n)^7/(n-1)^26/(n^n)^7+2495/6*n^25*((n-1)^n)^6/(n-1)^24/(n^n)^6-\ 75883/54*n^24*((n-1)^n)^6/(n-1)^24/(n^n)^6+10390/3*n^23*((n-1)^n)^6/(n-1)^24/(n ^n)^6-166801/27*n^22*((n-1)^n)^6/(n-1)^24/(n^n)^6+70000/9*n^21*((n-1)^n)^6/(n-1 )^24/(n^n)^6-6560*n^20*((n-1)^n)^6/(n-1)^24/(n^n)^6+3328*n^19*((n-1)^n)^6/(n-1) ^24/(n^n)^6-768*n^18*((n-1)^n)^6/(n-1)^24/(n^n)^6-1/432*n^30*((n-1)^n)^6/(n-1)^ 24/(n^n)^6+1/12*n^29*((n-1)^n)^6/(n-1)^24/(n^n)^6-295/216*n^28*((n-1)^n)^6/(n-1 )^24/(n^n)^6+485/36*n^27*((n-1)^n)^6/(n-1)^24/(n^n)^6-12827/144*n^26*((n-1)^n)^ 6/(n-1)^24/(n^n)^6-2495/18*n^22*((n-1)^n)^5/(n-1)^22/(n^n)^5+75883/162*n^21*((n -1)^n)^5/(n-1)^22/(n^n)^5-10390/9*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^5+166801/81*n ^19*((n-1)^n)^5/(n-1)^22/(n^n)^5-70000/27*n^18*((n-1)^n)^5/(n-1)^22/(n^n)^5+ 6560/3*n^17*((n-1)^n)^5/(n-1)^22/(n^n)^5-3328/3*n^16*((n-1)^n)^5/(n-1)^22/(n^n) ^5+527917684/9*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11-66862312*n^15* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+51155648*n^14*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-4)^n/(n-4)^11-23445120*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4 )^11+4838400*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+689521/108*n^21* ((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+51534905/108*n^19*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-5)^n/(n-5)^11-6899227/108*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5) ^n/(n-5)^11-49741/108*n^22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-\ 1082156108/27*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-293087663/108*n ^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-318604896*n^12*((n-1)^n)^2/(n-\ 1)^7/(n^n)^3*(n-5)^n/(n-5)^11+228067712*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^ n/(n-5)^11+641130325/54*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-\ 5540352764/27*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+2808268064/27*n ^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-98618880*n^10*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-5)^n/(n-5)^11+2713431544/9*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5 )^n/(n-5)^11+19353600*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-73/108*n ^24*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+2443/108*n^23*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-5)^n/(n-5)^11+1/108*n^25*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-\ 5)^11+1/108*n^24*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-23/36*n^23*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-7720584000*n^7*(n-1)^n/(n-1)^2/(n^n)^2*( n-6)^n/(n-6)^14+135314062205/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+ 1729728000*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-1/432*n^22*(n-1)^n/(n-1 )^2/(n^n)^2*(n-5)^n/(n-5)^14-286/27*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^ 14+25/108*n^21*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+8099455/108*n^17*(n-1)^ n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-40698229/54*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 5)^n/(n-5)^14+618767435/108*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-\ 14365627133/432*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+31765/108*n^19*(n -1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-1196741/216*n^18*(n-1)^n/(n-1)^2/(n^n)^2 *(n-5)^n/(n-5)^14+3986760635/27*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+ 3156242060*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-2799157712*n^8*(n-1)^n/ (n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-16/3/(n^n)*n^15*(n-5)^n/(n-5)^11-7871/3/(n^n)* n^13*(n-5)^n/(n-5)^11+1841/12/(n^n)*n^14*(n-5)^n/(n-5)^11+1/12/(n^n)*n^16*(n-5) ^n/(n-5)^11+16073123/12/(n^n)*n^10*(n-5)^n/(n-5)^11+118921/4/(n^n)*n^12*(n-5)^n /(n-5)^11+52725628/(n^n)*n^6*(n-5)^n/(n-5)^11-51257472/(n^n)*n^5*(n-5)^n/(n-5)^ 11-235466/(n^n)*n^11*(n-5)^n/(n-5)^11+49732144/3/(n^n)*n^8*(n-5)^n/(n-5)^11-\ 16600463/3/(n^n)*n^9*(n-5)^n/(n-5)^11+29119680/(n^n)*n^4*(n-5)^n/(n-5)^11-\ 106516036/3/(n^n)*n^7*(n-5)^n/(n-5)^11-7257600/(n^n)*n^3*(n-5)^n/(n-5)^11+ 125255260/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-204436306/27*n^ 14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+27881380/3*n^13*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-5)^n/(n-5)^8-24860672/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5 )^n/(n-5)^8+5057152*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-1884672*n ^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+322560*n^9*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-5)^n/(n-5)^8+1/216*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5 )^8-55/216*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+1399/216*n^23*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-21847/216*n^22*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-5)^n/(n-5)^8+234433/216*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5 )^8-1832869/216*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+1/72*n^24*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-17/24*n^23*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-4)^n/(n-4)^8+1195/72*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-\ 5689/24*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+166165/72*n^20*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-129801/8*n^19*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-4)^n/(n-4)^8+1/216*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-2/9* n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+1051/216*n^21*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-3)^n/(n-3)^8-773/12*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^8+124423/216*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-66245/18*n ^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+3741533/216*n^17*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-2196007/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^8+4359382/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-\ 319506*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+12556042/27*n^13*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-4341356/9*n^12*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^8+336720*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-\ 141376*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+26880*n^9*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+2167/108*n^22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4 )^n/(n-4)^11-13691/36*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+525229/ 108*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-1599437/36*n^19*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+32341661/108*n^18*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-4)^n/(n-4)^11-54573673/36*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^ 11+313688287/54*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-1/432*n^31*(( n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+37/432*n^30*((n-1)^n)^5/(n-1)^22/(n^ n)^6*(n-2)^n/(n-2)^2-313/216*n^29*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+ 3205/216*n^28*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2-14767/144*n^27*((n-1 )^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+72707/144*n^26*((n-1)^n)^5/(n-1)^22/(n^ n)^6*(n-2)^n/(n-2)^2-49169/27*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2 +262903/54*n^24*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+1/12*n^25*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-7/3*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2 )^n/(n-2)^5+29*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-421/2*n^22*((n -1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+3949/4*n^21*((n-1)^n)^4/(n-1)^14/(n^n )^5*(n-2)^n/(n-2)^5-6245/2*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+ 20207/3*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-29306/3*n^18*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+9096*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 2)^n/(n-2)^5-4896*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+1152*n^15*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-38942/3*n^17*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-3)^n/(n-3)^5+23240*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-\ 85900/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-151593178/9*n^15*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+989149928/27*n^14*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-4)^n/(n-4)^11-527917684/9*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/( n-4)^11+66862312*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-51155648*n^ 11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+23445120*n^10*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-4)^n/(n-4)^11-4838400*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-\ 4)^11-689521/108*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-51534905/108*n^ 16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+6899227/108*n^17*(n-1)^n/(n-1)^5/(n ^n)^2*(n-5)^n/(n-5)^11+49741/108*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+ 1082156108/27*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+293087663/108*n^15* (n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+318604896*n^9*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^11-228067712*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 641130325/54*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+5540352764/27*n^11*( n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-2808268064/27*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^11+98618880*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 2713431544/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-19353600*n^6*(n-1)^n /(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+1721/9*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/( n-6)^11+95804/3*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+45896849/27*n^16* (n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-21507760/81*n^17*(n-1)^n/(n-1)^5/(n^n) ^2*(n-6)^n/(n-6)^11-156371/54*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-\ 2739682868/27*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-305299885/36*n^15*( n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-1821092192/3*n^9*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-6)^n/(n-6)^11+1238957440/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+ 596662649/18*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-35842058452/81*n^11* (n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+725247892/3*n^12*(n-1)^n/(n-1)^5/(n^n) ^2*(n-6)^n/(n-6)^11-170816000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+ 16434601784/27*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+32256000*n^6*(n-1) ^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-1/324*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/ (n-6)^11+13/54*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-26/3*n^21*(n-1)^n/ (n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+73/108*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^11-2443/108*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1/108*n^22*(n-1)^ n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1/324*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^11+23/108*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-2167/324*n^19*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+13691/108*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 4)^n/(n-4)^11-525229/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+1599437/ 108*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/324*n^15*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673/108*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^11-313688287/162*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+151593178 /27*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-989149928/81*n^11*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11+527917684/27*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^11-66862312/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+51155648/3*n^ 8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-7815040*n^7*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^11+1612800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+2/27*n^26 *((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14-1/1296*n^27*((n-1)^n)^3/(n-1)^6/( n^n)^4*(n-4)^n/(n-4)^14-976157/648*n^23*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-\ 4)^14+2049047/108*n^22*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14-28403947/ 162*n^21*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14+130511953/108*n^20*((n-1) ^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14-262/81*n^25*((n-1)^n)^3/(n-1)^6/(n^n)^4* (n-4)^n/(n-4)^14+9191/108*n^24*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14-\ 8101053389/1296*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14-211935851*n^ 15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14+613011848/3*n^14*((n-1)^n)^3/(n -1)^6/(n^n)^4*(n-4)^n/(n-4)^14-5632436537/81*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*( n-4)^n/(n-4)^14+2615329717/108*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^ 14-115703440*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14+3914827189/27*n^ 16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^14+28828800*n^12*((n-1)^n)^3/(n-1) ^6/(n^n)^4*(n-4)^n/(n-4)^14+1/432*n^25*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5 )^14+286/27*n^23*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-25/108*n^24*((n-1 )^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-8099455/108*n^20*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-5)^n/(n-5)^14+40698229/54*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-\ 5)^14-618767435/108*n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+ 14365627133/432*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-31765/108*n^ 22*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+1196741/216*n^21*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-5)^n/(n-5)^14-3986760635/27*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*( n-5)^n/(n-5)^14-3156242060*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+ 4361/2*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-43169/4*n^11*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-4)^n/(n-4)^8+137053/4*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8 -417697/6*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+87017*n^8*(n-1)^n/(n-1)^2 /(n^n)^2*(n-4)^n/(n-4)^8-60438*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+ 17640*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7 -5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2 )^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3+1536*n^21*((n-1)^n)^7/(n-1)^26/(n^n)^ 7+371208956/81*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11-156708728/27* n^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11+43878208/9*n^17*((n-1)^n)^4/ (n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11-7277440/3*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*( n-3)^n/(n-3)^11+537600*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11+1/324 *n^29*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11-11/54*n^28*((n-1)^n)^4/(n-1 )^11/(n^n)^5*(n-3)^n/(n-3)^11+1969/324*n^27*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^ n/(n-3)^11-5861/54*n^26*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11+419731/ 324*n^25*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11-589853/54*n^24*((n-1)^n) ^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^11+7/12/(n^n)*n^12*(n-4)^n/(n-4)^8-77/4/(n^n) *n^11*(n-4)^n/(n-4)^8+273/(n^n)*n^10*(n-4)^n/(n-4)^8-4361/2/(n^n)*n^9*(n-4)^n/( n-4)^8+43169/4/(n^n)*n^8*(n-4)^n/(n-4)^8-137053/4/(n^n)*n^7*(n-4)^n/(n-4)^8+ 417697/6/(n^n)*n^6*(n-4)^n/(n-4)^8-87017/(n^n)*n^5*(n-4)^n/(n-4)^8+60438/(n^n)* n^4*(n-4)^n/(n-4)^8-17640/(n^n)*n^3*(n-4)^n/(n-4)^8+35/144*n^22*(n-1)^n/(n-1)^2 /(n^n)^2*(n-6)^n/(n-6)^14+4165/12*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14 -47/4*n^21*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-1/432*n^23*(n-1)^n/(n-1)^2/ (n^n)^2*(n-6)^n/(n-6)^14-121893733/108*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-\ 6)^14+341916575/36*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-2971219537/48* n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+15068478425/48*n^14*(n-1)^n/(n-1) ^2/(n^n)^2*(n-6)^n/(n-6)^14-504797/72*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6 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n/(n-3)^8+13440*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/18*n^17*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+1/36/(n^n)*n^17*(n-6)^n/(n-6)^11+2161/36/(n^n)*n ^15*(n-6)^n/(n-6)^11+514183/36/(n^n)*n^13*(n-6)^n/(n-6)^11-4521/4/(n^n)*n^14*(n -6)^n/(n-6)^11-23/12/(n^n)*n^16*(n-6)^n/(n-6)^11-48922489/12/(n^n)*n^10*(n-6)^n /(n-6)^11-1536469/12/(n^n)*n^12*(n-6)^n/(n-6)^11-314885612/3/(n^n)*n^6*(n-6)^n/ (n-6)^11+95135680/(n^n)*n^5*(n-6)^n/(n-6)^11+30201083/36/(n^n)*n^11*(n-6)^n/(n-\ 6)^11-39464084/(n^n)*n^8*(n-6)^n/(n-6)^11+132734459/9/(n^n)*n^9*(n-6)^n/(n-6)^ 11-50952000/(n^n)*n^4*(n-6)^n/(n-6)^11+690757064/9/(n^n)*n^7*(n-6)^n/(n-6)^11+ 12096000/(n^n)*n^3*(n-6)^n/(n-6)^11-1/6*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^4+3/2*n ^14*((n-1)^n)^4/(n-1)^11/(n^n)^4-13/3*n^13*((n-1)^n)^4/(n-1)^11/(n^n)^4+1/6/(n^ n)*n^9*(n-4)^n/(n-4)^5-5/2/(n^n)*n^8*(n-4)^n/(n-4)^5+91/6/(n^n)*n^7*(n-4)^n/(n-\ 4)^5-95/2/(n^n)*n^6*(n-4)^n/(n-4)^5+242/3/(n^n)*n^5*(n-4)^n/(n-4)^5-70/(n^n)*n^ 4*(n-4)^n/(n-4)^5+24/(n^n)*n^3*(n-4)^n/(n-4)^5+222520*n^16*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-3)^n/(n-3)^8-976688/3*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3) ^8+307544*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-168384*n^13*((n-1)^n )^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+40320*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3 )^n/(n-3)^8-1/6*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+1/6*n^21*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-7*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4) ^n/(n-4)^8+791/6*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+4*n^12*((n-1) ^n)^4/(n-1)^11/(n^n)^4-102241/36*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3 )^5+611473/54*n^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^5-306386/9*n^22*( (n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^5+2092856/27*n^21*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-3)^n/(n-3)^5+1/108*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2 )^5-37/108*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+313/54*n^26*((n-1) 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/(n^n)^5*(n-3)^n/(n-3)^5-1507204/27*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/( n-2)^5+516160/9*n^18*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5-39552*n^17*(( n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+16384*n^16*((n-1)^n)^4/(n-1)^17/(n^n )^5*(n-2)^n/(n-2)^5-3072*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5-\ 525806/27*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+1041244/27*n^20*((n -1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^5+1/108*n^29*((n-1)^n)^4/(n-1)^17/(n^n) ^5*(n-3)^n/(n-3)^5-13/36*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^5+175/ 27*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^5-1277/18*n^26*((n-1)^n)^4/( n-1)^17/(n^n)^5*(n-3)^n/(n-3)^5+57121/108*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-\ 3)^n/(n-3)^5-347072/27*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2+1/432* n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-37/432*n^27*((n-1)^n)^4/(n-1) ^20/(n^n)^5*(n-2)^n/(n-2)^2+313/216*n^26*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/( n-2)^2-3205/216*n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+14767/144*n^ 24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-72707/144*n^23*((n-1)^n)^4/(n-1 )^20/(n^n)^5*(n-2)^n/(n-2)^2+49169/27*n^22*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n /(n-2)^2-262903/54*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+260311/27* n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-376801/27*n^19*((n-1)^n)^4/(n -1)^20/(n^n)^5*(n-2)^n/(n-2)^2+129040/9*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2) ^n/(n-2)^2-9888*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2+23872/3*n^17* ((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2-8960/3*n^16*((n-1)^n)^4/(n-1)^20/( n^n)^5*(n-3)^n/(n-3)^2+512*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2+ 4096*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^2-768*n^15*((n-1)^n)^4/(n-\ 1)^20/(n^n)^5*(n-2)^n/(n-2)^2-313/54*n^29*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/ (n-2)^5+3205/54*n^28*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5-14767/36*n^27 *((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5+72707/36*n^26*((n-1)^n)^5/(n-1)^ 19/(n^n)^6*(n-2)^n/(n-2)^5-1/108*n^31*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2 )^5+37/108*n^30*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5-196676/27*n^25*((n -1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5-516160/9*n^21*((n-1)^n)^5/(n-1)^19/(n ^n)^6*(n-2)^n/(n-2)^5+39552*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5-\ 1041244/27*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5+525806/27*n^24*((n -1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5-16384*n^19*((n-1)^n)^5/(n-1)^19/(n^n) ^6*(n-2)^n/(n-2)^5+1507204/27*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5 +3072*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^5-260311/27*n^23*((n-1)^n )^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+376801/27*n^22*((n-1)^n)^5/(n-1)^22/(n^n)^ 6*(n-2)^n/(n-2)^2-129040/9*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+ 9888*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2-4096*n^19*((n-1)^n)^5/(n 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-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^5+1224245/54*n^20*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-4)^n/(n-4)^5+1/36*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-\ 11/12*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+247/18*n^19*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-935/3*n^22*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2) ^n/(n-2)^8+3717/2*n^21*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8-14749/2*n^ 20*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+177145/9*n^19*((n-1)^n)^4/(n-1) ^11/(n^n)^5*(n-2)^n/(n-2)^8-313270/9*n^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/ (n-2)^8+116716/3*n^17*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8-24704*n^16*( (n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+6720*n^15*((n-1)^n)^4/(n-1)^11/(n^n )^5*(n-2)^n/(n-2)^8+1/18*n^25*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8-37/ 18*n^24*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^8+100/3*n^23*((n-1)^n)^4/(n-\ 1)^11/(n^n)^5*(n-2)^n/(n-2)^8+13/2*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-\ 3)^8-337/3*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+1135*n^20*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-14891/2*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 3)^n/(n-3)^8+66549/2*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-309886/3* n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+1/36*n^19*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-2)^n/(n-2)^5-7/9*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+ 29/3*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-421/6*n^16*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+3949/12*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2) ^n/(n-2)^5-6245/6*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+20207/9*n^ 13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-29306/9*n^12*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-2)^n/(n-2)^5+3032*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2) ^5-1632*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+384*n^9*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+13/6*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^8-337/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-7/12*n^15*(n-1)^n/(n-1)^2 /(n^n)^2*(n-4)^n/(n-4)^8+77/4*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-273* n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+7/36/(n^n)*n^11*(n-3)^n/(n-3)^8-35 /6/(n^n)*n^10*(n-3)^n/(n-3)^8+147/2/(n^n)*n^9*(n-3)^n/(n-3)^8-1519/3/(n^n)*n^8* (n-3)^n/(n-3)^8+24941/12/(n^n)*n^7*(n-3)^n/(n-3)^8-31115/6/(n^n)*n^6*(n-3)^n/(n -3)^8+68831/9/(n^n)*n^5*(n-3)^n/(n-3)^8-6062/(n^n)*n^4*(n-3)^n/(n-3)^8+1960/(n^ n)*n^3*(n-3)^n/(n-3)^8 The, 4, 1, mixed moment of, X[1], and , X[4], is 13 n 2 n 12 n 2 n 2 n ((n - 1) ) (n - 2) 20 n ((n - 1) ) (n - 2) -------------------------- - --------------------------- 7 n 3 2 7 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 70 n ((n - 1) ) (n - 2) 100 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 7 n 3 2 7 n 3 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 48 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + -------------------------- - ----------------------- 7 n 3 2 5 n 2 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 10 n n 9 n n 12 n (n - 1) (n - 3) 55 n (n - 1) (n - 3) + ------------------------ - ----------------------- 5 n 2 2 5 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 120 n (n - 1) (n - 3) 124 n (n - 1) (n - 3) + ------------------------ - ------------------------ 5 n 2 2 5 n 2 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 2 n 48 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) + ----------------------- + ------------------------ 5 n 2 2 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 10 n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 50 n ((n - 1) ) (n - 2) 24 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 2 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) - ----------------------- + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 110 n (n - 1) (n - 3) 240 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 6 n 248 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) 812 n (n - 5) - ------------------------ + ----------------------- + --------------- 2 n 2 5 2 n 2 5 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 3 n (n - 5) 5 n 4 n 3 n 10 n 1178 n (n - 5) 304 n (n - 5) 96 n (n - 5) n (n - 5) - ---------------- + --------------- - -------------- + ------------- n 5 n 5 n 5 n 5 3 n (n - 5) n (n - 5) n (n - 5) 6 n (n - 5) 9 n 8 n 7 n 18 n 5 19 n (n - 5) 151 n (n - 5) 649 n (n - 5) 2 n ((n - 1) ) - -------------- + --------------- - --------------- + ----------------- n 5 n 5 n 5 13 n 5 6 n (n - 5) 6 n (n - 5) 6 n (n - 5) 3 (n - 1) (n ) 17 n 5 16 n 5 14 n 2 n 6 n ((n - 1) ) 52 n ((n - 1) ) n ((n - 1) ) (n - 3) - ----------------- + ------------------ + ------------------------ 13 n 5 13 n 5 4 n 3 5 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 12 n ((n - 1) ) (n - 3) 55 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 120 n ((n - 1) ) (n - 3) 124 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 48 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) - -------------------------- - ------------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 11 n n 10 n n 10 n (n - 1) (n - 4) 182 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 190 n (n - 1) (n - 4) 968 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 7 n n 6 n n 280 n (n - 1) (n - 4) 96 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 2 n ((n - 1) ) (n - 3) 8 n ((n - 1) ) (n - 3) + -------------------------- - -------------------------- 7 n 3 2 7 n 3 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 110 n ((n - 1) ) (n - 3) 80 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 7 n 3 2 7 n 3 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 248 n ((n - 1) ) (n - 3) 32 n ((n - 1) ) (n - 3) + ---------------------------- - -------------------------- 7 n 3 2 7 n 3 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 95 n (n - 1) (n - 4) 242 n (n - 1) (n - 4) + ------------------------- - ------------------------- 5 n 2 2 5 n 2 2 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 7 n n 6 n n 70 n (n - 1) (n - 4) 24 n (n - 1) (n - 4) + ----------------------- - ----------------------- 5 n 2 2 5 n 2 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n n (n - 1) (n - 4) 5 n (n - 1) (n - 4) - ------------------------- + ------------------------- 5 n 2 2 5 n 2 2 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 16 n 3 n 91 n (n - 1) (n - 4) 2 n ((n - 1) ) (n - 2) - ------------------------- - -------------------------- 5 n 2 2 6 n 4 5 6 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 20 n ((n - 1) ) (n - 2) 70 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 100 n ((n - 1) ) (n - 2) 16 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n 2 9 n 3 10 n n 4 n ((n - 1) ) 16 n ((n - 1) ) 7 n (n - 1) (n - 2) + ---------------- - ----------------- - ------------------------- 7 n 2 9 n 3 5 n 2 2 (n - 1) (n ) (n - 1) (n ) 6 (n - 1) (n ) (n - 2) 9 n n 8 n n 35 n (n - 1) (n - 2) 245 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 2 5 n 2 2 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 7 n n 6 n n 175 n (n - 1) (n - 2) 28 n (n - 1) (n - 2) + ------------------------- - ----------------------- 5 n 2 2 5 n 2 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 2 n (n - 1) (n - 2) 20 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 70 n (n - 1) (n - 2) 100 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 9 n 2 8 n 2 16 n (n - 1) (n - 2) n ((n - 1) ) 3 n ((n - 1) ) - ----------------------- - ---------------- + ---------------- 2 n 2 5 7 n 2 7 n 2 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) 2 (n - 1) (n ) 7 n 2 n 7 n 6 n 5 13 n ((n - 1) ) (n - 2) n 5 (n - 2) n 35 (n - 2) n - ----------------- + ------------- - ------------- + -------------- 7 n 2 5 n 5 n 5 n 3 (n - 1) (n ) 6 (n - 2) n 3 (n - 2) n 6 (n - 2) n n 4 n 3 12 n 3 11 n 3 25 (n - 2) n 4 (n - 2) n 2 n ((n - 1) ) 6 n ((n - 1) ) - -------------- + ------------- + ----------------- - ----------------- 5 n 5 n 9 n 3 9 n 3 3 (n - 2) n (n - 2) n 3 (n - 1) (n ) (n - 1) (n ) 10 n 3 8 n 7 n 6 n 52 n ((n - 1) ) 7 n (n - 3) 14 n (n - 3) 385 n (n - 3) + ------------------ + ------------- - -------------- + --------------- 9 n 3 n 5 n 5 n 5 3 (n - 1) (n ) 6 n (n - 3) n (n - 3) 6 n (n - 3) 5 n 4 n 3 n 15 n 4 140 n (n - 3) 434 n (n - 3) 56 n (n - 3) n ((n - 1) ) - --------------- + --------------- - -------------- - --------------- n 5 n 5 n 5 11 n 4 n (n - 3) 3 n (n - 3) n (n - 3) (n - 1) (n ) 14 n 4 13 n 4 9 n 8 n 9 n ((n - 1) ) 26 n ((n - 1) ) n (n - 4) 15 n (n - 4) + ----------------- - ------------------ + ----------- - -------------- 11 n 4 11 n 4 n 5 n 5 (n - 1) (n ) (n - 1) (n ) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 91 n (n - 4) 285 n (n - 4) 484 n (n - 4) 420 n (n - 4) + -------------- - --------------- + --------------- - --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 15 n 5 12 n 4 144 n (n - 4) 16 n ((n - 1) ) 24 n ((n - 1) ) + --------------- - ------------------ + ------------------ n 5 13 n 5 11 n 4 n (n - 4) (n - 1) (n ) (n - 1) (n ) 16 n 3 n 15 n 3 n n ((n - 1) ) (n - 2) 10 n ((n - 1) ) (n - 2) - ------------------------ + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 35 n ((n - 1) ) (n - 2) 50 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 4 2 9 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 24 n ((n - 1) ) (n - 2) - --------------------------- 9 n 4 2 (n - 1) (n ) (n - 2) and in Maple notation 2*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^2-20*n^12*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-2)^n/(n-2)^2+70*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^2-100 *n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^2+48*n^9*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-2)^n/(n-2)^2-n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2+12*n^10*(n-1 )^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2-55*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3 )^2+120*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2-124*n^7*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^2+48*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^2+n^13*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-10*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2) ^n/(n-2)^5+35*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-50*n^10*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+24*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/ (n-2)^5-2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+24*n^10*(n-1)^n/(n-1)^2/ (n^n)^2*(n-3)^n/(n-3)^5-110*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+240*n^8 *(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-248*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^ n/(n-3)^5+96*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+812/3/(n^n)*n^6*(n-5)^ n/(n-5)^5-1178/3/(n^n)*n^5*(n-5)^n/(n-5)^5+304/(n^n)*n^4*(n-5)^n/(n-5)^5-96/(n^ n)*n^3*(n-5)^n/(n-5)^5+1/6/(n^n)*n^10*(n-5)^n/(n-5)^5-19/6/(n^n)*n^9*(n-5)^n/(n -5)^5+151/6/(n^n)*n^8*(n-5)^n/(n-5)^5-649/6/(n^n)*n^7*(n-5)^n/(n-5)^5+2/3*n^18* ((n-1)^n)^5/(n-1)^13/(n^n)^5-6*n^17*((n-1)^n)^5/(n-1)^13/(n^n)^5+52/3*n^16*((n-\ 1)^n)^5/(n-1)^13/(n^n)^5+n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-12*n^ 13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+55*n^12*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-3)^n/(n-3)^5-120*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+124*n^ 10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-48*n^9*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-3)^n/(n-3)^5-2/3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+10*n^11*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-182/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^5+190*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-968/3*n^8*(n-1)^n/(n-1 )^2/(n^n)^2*(n-4)^n/(n-4)^5+280*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-96* n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+2/3*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-3)^n/(n-3)^2-8*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^2+110/3*n^12 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^2-80*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-3)^n/(n-3)^2+248/3*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^2-32*n^9 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^2+95/2*n^9*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^2-242/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^2+70*n^7*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^2-24*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^2 -1/6*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^2+5/2*n^11*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^2-91/6*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^2-2/3*n^16* ((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5+20/3*n^15*((n-1)^n)^3/(n-1)^6/(n^n) ^4*(n-2)^n/(n-2)^5-70/3*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5+100/3* n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5-16*n^12*((n-1)^n)^3/(n-1)^6/(n ^n)^4*(n-2)^n/(n-2)^5+4*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2-16*n^9*((n-1)^n)^3/(n-1 )^9/(n^n)^3-7/6*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2+35/3*n^9*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2-245/6*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^ 2+175/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^2-28*n^6*(n-1)^n/(n-1)^5/(n^n )^2*(n-2)^n/(n-2)^2-2/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+20/3*n^9*( n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-70/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n /(n-2)^5+100/3*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-16*n^6*(n-1)^n/(n-1) ^2/(n^n)^2*(n-2)^n/(n-2)^5-1/6*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+3/2*n^8*((n-1)^n )^2/(n-1)^7/(n^n)^2-13/3*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/6*(n-2)^n/(n-2)^5/(n ^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2) ^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3+2/3*n^12*((n-1)^n)^3/(n-1)^9/( n^n)^3-6*n^11*((n-1)^n)^3/(n-1)^9/(n^n)^3+52/3*n^10*((n-1)^n)^3/(n-1)^9/(n^n)^3 +7/6/(n^n)*n^8*(n-3)^n/(n-3)^5-14/(n^n)*n^7*(n-3)^n/(n-3)^5+385/6/(n^n)*n^6*(n-\ 3)^n/(n-3)^5-140/(n^n)*n^5*(n-3)^n/(n-3)^5+434/3/(n^n)*n^4*(n-3)^n/(n-3)^5-56/( n^n)*n^3*(n-3)^n/(n-3)^5-n^15*((n-1)^n)^4/(n-1)^11/(n^n)^4+9*n^14*((n-1)^n)^4/( n-1)^11/(n^n)^4-26*n^13*((n-1)^n)^4/(n-1)^11/(n^n)^4+1/(n^n)*n^9*(n-4)^n/(n-4)^ 5-15/(n^n)*n^8*(n-4)^n/(n-4)^5+91/(n^n)*n^7*(n-4)^n/(n-4)^5-285/(n^n)*n^6*(n-4) ^n/(n-4)^5+484/(n^n)*n^5*(n-4)^n/(n-4)^5-420/(n^n)*n^4*(n-4)^n/(n-4)^5+144/(n^n )*n^3*(n-4)^n/(n-4)^5-16*n^15*((n-1)^n)^5/(n-1)^13/(n^n)^5+24*n^12*((n-1)^n)^4/ (n-1)^11/(n^n)^4-n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2+10*n^15*((n-1 )^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-35*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2 )^n/(n-2)^2+50*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2-24*n^12*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^2 The, 4, 2, mixed moment of, X[1], and , X[4], is 13 n 2 n 12 n 2 n n ((n - 1) ) (n - 2) 10 n ((n - 1) ) (n - 2) ------------------------ - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 35 n ((n - 1) ) (n - 2) 50 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 24 n ((n - 1) ) (n - 2) 2 n (n - 1) (n - 3) + -------------------------- - ----------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 10 n n 9 n n 24 n (n - 1) (n - 3) 110 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 240 n (n - 1) (n - 3) 248 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 9 n 3 13 n n 96 n (n - 1) (n - 3) 16 n ((n - 1) ) n (n - 1) (n - 2) + ----------------------- + ----------------- - -------------------------- 2 n 2 5 12 n 3 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) 18 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 812 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 1178 n (n - 1) (n - 2) 304 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 13 n n 32 n (n - 1) (n - 2) 421 n (n - 1) (n - 5) + ----------------------- + ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 5) 12 n n 11 n n 3949 n (n - 1) (n - 5) 6245 n (n - 1) (n - 5) - -------------------------- + -------------------------- 5 n 2 5 5 n 2 5 6 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 10 n n 9 n n 40414 n (n - 1) (n - 5) 58612 n (n - 1) (n - 5) - --------------------------- + -------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 8 n n 7 n n 6064 n (n - 1) (n - 5) 3264 n (n - 1) (n - 5) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 768 n (n - 1) (n - 5) n (n - 1) (n - 5) - ------------------------ - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 15 n n 14 n n 14 n (n - 1) (n - 5) 58 n (n - 1) (n - 5) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 22 n 4 n 21 n 4 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 8 n 5 8 8 n 5 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 161 n ((n - 1) ) (n - 2) 490 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 5 8 8 n 5 8 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 6769 n ((n - 1) ) (n - 2) 3283 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 5 8 8 n 5 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 363 n ((n - 1) ) (n - 2) 140 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 5 8 8 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n n ((n - 1) ) (n - 3) 10 n ((n - 1) ) (n - 3) - ------------------------- + --------------------------- 6 n 4 8 6 n 4 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 42 n ((n - 1) ) (n - 3) 868 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 3563 n ((n - 1) ) (n - 3) 8890 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 4 8 6 n 4 8 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 39332 n ((n - 1) ) (n - 3) 3464 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 6 n 4 8 6 n 4 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 17 n 2 n 1120 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 6 n 4 8 4 n 3 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 5 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 434 n ((n - 1) ) (n - 3) 3563 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 4445 n ((n - 1) ) (n - 3) 19666 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 5196 n ((n - 1) ) (n - 3) 1680 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 506 n (n - 1) (n - 4) 1925 n (n - 1) (n - 4) + ------------------------- - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 4790 n (n - 1) (n - 4) 23348 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 7944 n (n - 1) (n - 4) 4608 n (n - 1) (n - 4) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n n 1152 n (n - 1) (n - 4) n (n - 1) (n - 4) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 8 n (n - 1) (n - 4) 84 n (n - 1) (n - 4) + ----------------------- - ------------------------ 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + -------------------------- - -------------------------- 10 n 3 2 10 n 3 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 63 n ((n - 1) ) (n - 3) 317 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3268 n ((n - 1) ) (n - 3) 704 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 13 n 2 n 192 n ((n - 1) ) (n - 3) 487 n ((n - 1) ) (n - 3) + --------------------------- + ---------------------------- 10 n 3 2 10 n 3 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 19 n 3 n 934 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ---------------------------- - ------------------------- 10 n 3 2 9 n 4 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 649 n ((n - 1) ) (n - 2) 1624 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 2356 n ((n - 1) ) (n - 2) 608 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 14 n 2 n 192 n ((n - 1) ) (n - 2) 634 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 9 n 4 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 1948 n ((n - 1) ) (n - 3) 3736 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 13072 n ((n - 1) ) (n - 3) 2816 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 768 n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 14 n ((n - 1) ) (n - 3) 126 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 4 6 n 5 n 64 n ((n - 1) ) 812 n (n - 5) 1178 n (n - 5) - ------------------ + --------------- - ---------------- 14 n 4 n 5 n 5 (n - 1) (n ) 3 n (n - 5) 3 n (n - 5) 4 n 3 n 22 n 4 n 304 n (n - 5) 96 n (n - 5) n ((n - 1) ) (n - 2) + --------------- - -------------- + -------------------------- n 5 n 5 14 n 5 2 n (n - 5) n (n - 5) 6 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 5 2 14 n 5 2 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 649 n ((n - 1) ) (n - 2) 812 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 14 n 5 2 14 n 5 2 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 1178 n ((n - 1) ) (n - 2) 304 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 14 n 5 2 14 n 5 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 3 n 96 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - --------------------------- - -------------------------- 14 n 5 2 12 n 4 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 7 n ((n - 1) ) (n - 3) 21 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 317 n ((n - 1) ) (n - 3) 974 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 1868 n ((n - 1) ) (n - 3) 6536 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 1408 n ((n - 1) ) (n - 3) 128 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 4) 2 n ((n - 1) ) (n - 4) + --------------------------- - -------------------------- 10 n 3 2 10 n 3 2 36 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n 2 n 12 n 2 n 7 n ((n - 1) ) (n - 4) 5837 n ((n - 1) ) (n - 4) + -------------------------- + ----------------------------- 10 n 3 2 10 n 3 2 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 662 n ((n - 1) ) (n - 4) 384 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 10 n 3 2 10 n 3 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 15 n 2 n 96 n ((n - 1) ) (n - 4) 253 n ((n - 1) ) (n - 4) - -------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1925 n ((n - 1) ) (n - 4) 2395 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 10 n 3 2 10 n 3 2 12 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 10 n 9 n 8 n 7 n n (n - 5) 19 n (n - 5) 151 n (n - 5) 649 n (n - 5) + ------------- - -------------- + --------------- - --------------- n 5 n 5 n 5 n 5 6 n (n - 5) 6 n (n - 5) 6 n (n - 5) 6 n (n - 5) 18 n 5 17 n 5 16 n 5 n ((n - 1) ) 3 n ((n - 1) ) 13 n ((n - 1) ) + ----------------- - ----------------- + ------------------ 13 n 5 13 n 5 13 n 5 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) 14 n 2 n 13 n 2 n n ((n - 1) ) (n - 3) 12 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 55 n ((n - 1) ) (n - 3) 120 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 124 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) + ---------------------------- - -------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 2 n (n - 1) (n - 4) 10 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 182 n (n - 1) (n - 4) 190 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 968 n (n - 1) (n - 4) 280 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 20 n 3 n 96 n (n - 1) (n - 4) n ((n - 1) ) (n - 3) - ----------------------- - ------------------------- 2 n 2 5 9 n 4 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 7 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 1012 n ((n - 1) ) (n - 4) 3850 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 9580 n ((n - 1) ) (n - 4) 46696 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 5296 n ((n - 1) ) (n - 4) 3072 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 18 n 2 n 768 n ((n - 1) ) (n - 4) 2 n ((n - 1) ) (n - 4) - --------------------------- + -------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 16 n ((n - 1) ) (n - 4) 56 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 2 n ((n - 1) ) (n - 2) 20 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 70 n ((n - 1) ) (n - 2) 100 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 3 n 11 n n 16 n ((n - 1) ) (n - 2) 2219 n (n - 1) (n - 3) - --------------------------- + -------------------------- 6 n 4 5 5 n 2 5 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 3) 10 n n 9 n n 3409 n (n - 1) (n - 3) 6538 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 22876 n (n - 1) (n - 3) 4928 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 6 n n 14 n n 448 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - ------------------------ - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 13 n n 12 n n 49 n (n - 1) (n - 3) 147 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 10 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n n 11 n n 42 n (n - 1) (n - 3) 868 n (n - 1) (n - 3) - ------------------------ + ------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 3563 n (n - 1) (n - 3) 8890 n (n - 1) (n - 3) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 39332 n (n - 1) (n - 3) 3464 n (n - 1) (n - 3) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 21 n 5 20 n 5 1120 n (n - 1) (n - 3) n ((n - 1) ) 3 n ((n - 1) ) - ------------------------- + ----------------- - ----------------- 2 n 2 8 16 n 5 16 n 5 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 1) (n ) 19 n 5 18 n 5 17 n 5 133 n ((n - 1) ) 86 n ((n - 1) ) 554 n ((n - 1) ) + ------------------- - ------------------ + ------------------- 16 n 5 16 n 5 16 n 5 6 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 16 n 5 13 n 12 n 11 n 208 n ((n - 1) ) n (n - 5) 37 n (n - 5) 100 n (n - 5) - ------------------- + ------------- - --------------- + ---------------- 16 n 5 n 8 n 8 n 8 (n - 1) (n ) 6 n (n - 5) 6 n (n - 5) n (n - 5) 10 n 9 n 8 n 935 n (n - 5) 11151 n (n - 5) 44247 n (n - 5) - ---------------- + ----------------- - ----------------- n 8 n 8 n 8 n (n - 5) 2 n (n - 5) 2 n (n - 5) 7 n 6 n 5 n 177145 n (n - 5) 313270 n (n - 5) 116716 n (n - 5) + ------------------ - ------------------ + ------------------ n 8 n 8 n 8 3 n (n - 5) 3 n (n - 5) n (n - 5) 4 n 3 n 18 n 6 74112 n (n - 5) 20160 n (n - 5) 80 n ((n - 1) ) - ----------------- + ----------------- - ------------------ n 8 n 8 18 n 6 n (n - 5) n (n - 5) (n - 1) (n ) 16 n 2 n 15 n 2 n 7 n ((n - 1) ) (n - 2) 133 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 2 10 n 3 2 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1057 n ((n - 1) ) (n - 2) 4543 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 2 10 n 3 2 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 2842 n ((n - 1) ) (n - 2) 4123 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 2 10 n 3 2 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1064 n ((n - 1) ) (n - 2) 112 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 10 n 3 2 10 n 3 2 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 2 n ((n - 1) ) (n - 2) 38 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 302 n ((n - 1) ) (n - 2) 1298 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 3248 n ((n - 1) ) (n - 2) 4712 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1216 n ((n - 1) ) (n - 2) 128 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 2 n (n - 1) (n - 2) 20 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 70 n (n - 1) (n - 2) 100 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 15 n 5 16 n (n - 1) (n - 2) 96 n ((n - 1) ) - ----------------------- + ------------------ 2 n 2 5 16 n 5 (n - 1) (n ) (n - 2) (n - 1) (n ) 12 n 3 n 12 n n 192 n ((n - 1) ) (n - 2) 1246 n (n - 1) (n - 4) + ---------------------------- + -------------------------- 12 n 4 2 2 n 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 11 n n 10 n n 6167 n (n - 1) (n - 4) 19579 n (n - 1) (n - 4) - -------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 119342 n (n - 1) (n - 4) 49724 n (n - 1) (n - 4) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n n 7 34536 n (n - 1) (n - 4) 10080 n (n - 1) (n - 4) (n - 2) n - -------------------------- + -------------------------- + ------------- 2 n 2 8 2 n 2 8 5 n (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 18 n 4 17 n 4 16 n 4 n ((n - 1) ) 2 n ((n - 1) ) 133 n ((n - 1) ) - ----------------- + ----------------- - ------------------- 14 n 4 14 n 4 14 n 4 9 (n - 1) (n ) (n - 1) (n ) 9 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 172 n ((n - 1) ) 1108 n ((n - 1) ) 416 n ((n - 1) ) + ------------------- - -------------------- + ------------------- 14 n 4 14 n 4 14 n 4 3 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 12 n 11 n 10 n 9 n 7 n (n - 4) 77 n (n - 4) 91 n (n - 4) 4361 n (n - 4) + -------------- - --------------- + --------------- - ---------------- n 8 n 8 n 8 n 8 36 n (n - 4) 12 n (n - 4) n (n - 4) 6 n (n - 4) 8 n 7 n 6 n 43169 n (n - 4) 137053 n (n - 4) 417697 n (n - 4) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 12 n (n - 4) 12 n (n - 4) 18 n (n - 4) 5 n 4 n 3 n 8 n 87017 n (n - 4) 20146 n (n - 4) 5880 n (n - 4) 7 n (n - 3) - ----------------- + ----------------- - ---------------- + ------------- n 8 n 8 n 8 n 5 3 n (n - 4) n (n - 4) n (n - 4) 6 n (n - 3) 7 n 6 n 5 n 4 n 14 n (n - 3) 385 n (n - 3) 140 n (n - 3) 434 n (n - 3) - -------------- + --------------- - --------------- + --------------- n 5 n 5 n 5 n 5 n (n - 3) 6 n (n - 3) n (n - 3) 3 n (n - 3) 3 n 9 n 8 n 7 n 56 n (n - 3) n (n - 4) 15 n (n - 4) 91 n (n - 4) - -------------- + ----------- - -------------- + -------------- n 5 n 5 n 5 n 5 n (n - 3) n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 3 n 285 n (n - 4) 484 n (n - 4) 420 n (n - 4) 144 n (n - 4) - --------------- + --------------- - --------------- + --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 15 n 5 24 n 6 23 n 6 4 n ((n - 1) ) 5 n ((n - 1) ) 5 n ((n - 1) ) - ----------------- - ------------------ + ----------------- 13 n 5 18 n 6 18 n 6 (n - 1) (n ) 36 (n - 1) (n ) 2 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 665 n ((n - 1) ) 215 n ((n - 1) ) 1385 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 18 n 6 18 n 6 18 n 6 36 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 19 n 6 14 n 13 n 12 n 520 n ((n - 1) ) n (n - 6) 7 n (n - 6) 785 n (n - 6) + ------------------- + -------------- - -------------- + ---------------- 18 n 6 n 8 n 8 n 8 3 (n - 1) (n ) 36 n (n - 6) 6 n (n - 6) 36 n (n - 6) 11 n 10 n 9 n 1435 n (n - 6) 20501 n (n - 6) 16667 n (n - 6) - ----------------- + ------------------ - ----------------- n 8 n 8 n 8 6 n (n - 6) 12 n (n - 6) 2 n (n - 6) 8 n 7 n 6 n 1017995 n (n - 6) 399665 n (n - 6) 958249 n (n - 6) + ------------------- - ------------------ + ------------------ n 8 n 8 n 8 36 n (n - 6) 6 n (n - 6) 9 n (n - 6) 5 n 4 n 3 n 328846 n (n - 6) 65120 n (n - 6) 16800 n (n - 6) - ------------------ + ----------------- - ----------------- n 8 n 8 n 8 3 n (n - 6) n (n - 6) n (n - 6) 14 n n 13 n n 200 n (n - 1) (n - 5) 1870 n (n - 1) (n - 5) - ------------------------- + -------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 12 n n 11 n n 3717 n (n - 1) (n - 5) 14749 n (n - 1) (n - 5) - -------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 354290 n (n - 1) (n - 5) 626540 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 8 n n 7 n n 233432 n (n - 1) (n - 5) 49408 n (n - 1) (n - 5) - --------------------------- + -------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n 2 n 13440 n (n - 1) (n - 5) n ((n - 1) ) (n - 4) - -------------------------- + ------------------------- 2 n 2 8 4 n 3 8 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 11 n ((n - 1) ) (n - 4) 78 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 623 n ((n - 1) ) (n - 4) 6167 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 19579 n ((n - 1) ) (n - 4) 59671 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 24862 n ((n - 1) ) (n - 4) 17268 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 5040 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) - ---------------------------- - ------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 15 n n 22 n 4 n 37 n (n - 1) (n - 5) 2 n ((n - 1) ) (n - 2) + ------------------------- + -------------------------- 2 n 2 8 11 n 5 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 38 n ((n - 1) ) (n - 2) 302 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 11 n 5 5 11 n 5 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 1298 n ((n - 1) ) (n - 2) 3248 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 5 5 11 n 5 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 4712 n ((n - 1) ) (n - 2) 1216 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 5 5 11 n 5 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 4 n 17 n 3 n 128 n ((n - 1) ) (n - 2) 317 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 11 n 5 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 974 n ((n - 1) ) (n - 3) 1868 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 6536 n ((n - 1) ) (n - 3) 1408 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 15 n 3 14 n 3 384 n ((n - 1) ) (n - 3) n ((n - 1) ) n ((n - 1) ) - ---------------------------- + ------------------ - ----------------- 9 n 4 5 12 n 3 12 n 3 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) 2 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 133 n ((n - 1) ) 43 n ((n - 1) ) 277 n ((n - 1) ) + ------------------- - ------------------ + ------------------- 12 n 3 12 n 3 12 n 3 36 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 10 n 3 15 n n 104 n ((n - 1) ) n (n - 1) (n - 4) - ------------------- - ------------------------- 12 n 3 2 n 2 8 3 (n - 1) (n ) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 11 n 11 n (n - 1) (n - 4) 156 n (n - 1) (n - 4) n (n - 3) + ------------------------ - ------------------------- + -------------- 2 n 2 8 2 n 2 8 n 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 36 n (n - 3) 10 n 9 n 8 n 7 n 5 n (n - 3) 21 n (n - 3) 217 n (n - 3) 3563 n (n - 3) - -------------- + -------------- - --------------- + ---------------- n 8 n 8 n 8 n 8 6 n (n - 3) 2 n (n - 3) 3 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 3 n 4445 n (n - 3) 9833 n (n - 3) 866 n (n - 3) 280 n (n - 3) - ---------------- + ---------------- - --------------- + --------------- n 8 n 8 n 8 n 8 6 n (n - 3) 9 n (n - 3) n (n - 3) n (n - 3) 19 n 3 n 18 n 3 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 1624 n ((n - 1) ) (n - 2) 2356 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 2 12 n 4 2 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 608 n ((n - 1) ) (n - 2) - ---------------------------- 12 n 4 2 (n - 1) (n ) (n - 2) and in Maple notation n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-10*n^12*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-2)^n/(n-2)^5+35*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-50*n^ 10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+24*n^9*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-2)^n/(n-2)^5-2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+24*n^10*(n-1) ^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-110*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3 )^5+240*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-248*n^7*(n-1)^n/(n-1)^2/(n^ n)^2*(n-3)^n/(n-3)^5+96*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+16*n^9*((n-\ 1)^n)^3/(n-1)^12/(n^n)^3-1/18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+19/ 18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-151/18*n^11*(n-1)^n/(n-1)^5/(n^ n)^2*(n-2)^n/(n-2)^5+649/18*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-812/9* n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+1178/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2* (n-2)^n/(n-2)^5-304/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+32*n^6*(n-1)^ n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+421/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^5-3949/6*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5+6245/3*n^11*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5-40414/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-\ 5)^5+58612/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5-6064*n^8*(n-1)^n/(n-1) ^5/(n^n)^2*(n-5)^n/(n-5)^5+3264*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5-768 *n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5-1/18*n^16*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^5+14/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5-58/3*n^14*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5+1/36*n^22*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2 )^n/(n-2)^8-7/9*n^21*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8+161/18*n^20*(( n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8-490/9*n^19*((n-1)^n)^4/(n-1)^8/(n^n)^ 5*(n-2)^n/(n-2)^8+6769/36*n^18*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8-3283 /9*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8+363*n^16*((n-1)^n)^4/(n-1)^ 8/(n^n)^5*(n-2)^n/(n-2)^8-140*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8-\ 1/9*n^20*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+10/3*n^19*((n-1)^n)^3/(n-1 )^6/(n^n)^4*(n-3)^n/(n-3)^8-42*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8 +868/3*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-3563/3*n^16*((n-1)^n)^3 /(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+8890/3*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^ n/(n-3)^8-39332/9*n^14*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+3464*n^13*(( n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-1120*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4 *(n-3)^n/(n-3)^8+1/6*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-5*n^16*(( n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+63*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*( n-3)^n/(n-3)^8-434*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+3563/2*n^13 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-4445*n^12*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-3)^n/(n-3)^8+19666/3*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-\ 5196*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+1680*n^9*((n-1)^n)^2/(n-1 )^4/(n^n)^3*(n-3)^n/(n-3)^8+506*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-\ 1925*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+4790*n^10*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^5-23348/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+7944*n ^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-4608*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 4)^n/(n-4)^5+1152*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-1/3*n^15*(n-1)^n/ (n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+8*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-\ 84*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+1/6*n^17*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-3)^n/(n-3)^2-7/2*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2+63 /2*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2-317/2*n^14*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-3)^n/(n-3)^2+3268/3*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^2-704*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2+192*n^9*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2+487*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3) ^n/(n-3)^2-934*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^2-1/3*n^19*((n-1 )^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+19/3*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n -2)^n/(n-2)^5-151/3*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+649/3*n^16 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-1624/3*n^15*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-2)^n/(n-2)^5+2356/3*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-\ 608*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+192*n^12*((n-1)^n)^3/(n-1) ^9/(n^n)^4*(n-2)^n/(n-2)^5-634*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5 +1948*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-3736*n^12*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-3)^n/(n-3)^5+13072/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/ (n-3)^5-2816*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+768*n^9*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+2/3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n /(n-3)^5-14*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+126*n^15*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-64*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4+812/3/( n^n)*n^6*(n-5)^n/(n-5)^5-1178/3/(n^n)*n^5*(n-5)^n/(n-5)^5+304/(n^n)*n^4*(n-5)^n /(n-5)^5-96/(n^n)*n^3*(n-5)^n/(n-5)^5+1/6*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 2)^n/(n-2)^2-19/6*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2+151/6*n^20* ((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2-649/6*n^19*((n-1)^n)^4/(n-1)^14/(n ^n)^5*(n-2)^n/(n-2)^2+812/3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2-\ 1178/3*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2+304*n^16*((n-1)^n)^4/( n-1)^14/(n^n)^5*(n-2)^n/(n-2)^2-96*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n -2)^2-1/9*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+7/3*n^19*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2-21*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n /(n-3)^2+317/3*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2-974/3*n^16*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+1868/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n )^4*(n-3)^n/(n-3)^2-6536/9*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+ 1408/3*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2-128*n^12*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-3)^n/(n-3)^2+1/36*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/ (n-4)^2-2/3*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^2+7*n^16*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^2+5837/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 4)^n/(n-4)^2-662*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^2+384*n^10*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^2-96*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-4)^n/(n-4)^2-253/6*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^2+1925/12* n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^2-2395/6*n^13*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-4)^n/(n-4)^2+1/6/(n^n)*n^10*(n-5)^n/(n-5)^5-19/6/(n^n)*n^9*(n-5) ^n/(n-5)^5+151/6/(n^n)*n^8*(n-5)^n/(n-5)^5-649/6/(n^n)*n^7*(n-5)^n/(n-5)^5+1/6* n^18*((n-1)^n)^5/(n-1)^13/(n^n)^5-3/2*n^17*((n-1)^n)^5/(n-1)^13/(n^n)^5+13/3*n^ 16*((n-1)^n)^5/(n-1)^13/(n^n)^5+n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^ 5-12*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+55*n^12*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-3)^n/(n-3)^5-120*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5 +124*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-48*n^9*((n-1)^n)^2/(n-1)^ 4/(n^n)^3*(n-3)^n/(n-3)^5-2/3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+10*n ^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-182/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2* (n-4)^n/(n-4)^5+190*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-968/3*n^8*(n-1) ^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+280*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4 )^5-96*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-1/3*n^20*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-3)^n/(n-3)^5+7*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-63* n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-1012/3*n^15*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-4)^n/(n-4)^5+3850/3*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4) ^5-9580/3*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+46696/9*n^12*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5-5296*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4 )^n/(n-4)^5+3072*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5-768*n^9*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+2/9*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 4)^n/(n-4)^5-16/3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+56*n^16*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5-2/3*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n -2)^n/(n-2)^5+20/3*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5-70/3*n^14*( (n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5+100/3*n^13*((n-1)^n)^3/(n-1)^6/(n^n) ^4*(n-2)^n/(n-2)^5-16*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5+2219/6*n ^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-3409/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2 *(n-3)^n/(n-3)^5+6538/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-22876/9*n^8 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+4928/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^5-448*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-7/18*n^14*(n-1)^n/ (n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+49/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^5-147/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1/9*n^14*(n-1)^n/(n-1)^2/ (n^n)^2*(n-3)^n/(n-3)^8+10/3*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-42*n^ 12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+868/3*n^11*(n-1)^n/(n-1)^2/(n^n)^2*( n-3)^n/(n-3)^8-3563/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+8890/3*n^9*( n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-39332/9*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3 )^n/(n-3)^8+3464*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-1120*n^6*(n-1)^n/( n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+1/6*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^5-3*n^20*((n -1)^n)^5/(n-1)^16/(n^n)^5+133/6*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^5-86*n^18*((n-1 )^n)^5/(n-1)^16/(n^n)^5+554/3*n^17*((n-1)^n)^5/(n-1)^16/(n^n)^5-208*n^16*((n-1) ^n)^5/(n-1)^16/(n^n)^5+1/6/(n^n)*n^13*(n-5)^n/(n-5)^8-37/6/(n^n)*n^12*(n-5)^n/( n-5)^8+100/(n^n)*n^11*(n-5)^n/(n-5)^8-935/(n^n)*n^10*(n-5)^n/(n-5)^8+11151/2/(n ^n)*n^9*(n-5)^n/(n-5)^8-44247/2/(n^n)*n^8*(n-5)^n/(n-5)^8+177145/3/(n^n)*n^7*(n -5)^n/(n-5)^8-313270/3/(n^n)*n^6*(n-5)^n/(n-5)^8+116716/(n^n)*n^5*(n-5)^n/(n-5) ^8-74112/(n^n)*n^4*(n-5)^n/(n-5)^8+20160/(n^n)*n^3*(n-5)^n/(n-5)^8-80*n^18*((n-\ 1)^n)^6/(n-1)^18/(n^n)^6+7/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2 -133/36*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2+1057/36*n^14*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-4543/36*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^2+2842/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2-4123/9 *n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^2+1064/3*n^10*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-2)^n/(n-2)^2-112*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2) ^2+2/9*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-38/9*n^15*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+302/9*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/( n-2)^5-1298/9*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+3248/9*n^12*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-4712/9*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-2)^n/(n-2)^5+1216/3*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-128*n^ 9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-2/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2* (n-2)^n/(n-2)^5+20/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-70/3*n^8*(n-1) ^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+100/3*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n -2)^5-16*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+96*n^15*((n-1)^n)^5/(n-1)^ 16/(n^n)^5+192*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+1246*n^12*(n-1 )^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-6167*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/( n-4)^8+19579*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-119342/3*n^9*(n-1)^n/ (n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+49724*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4) ^8-34536*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+10080*n^6*(n-1)^n/(n-1)^2/ (n^n)^2*(n-4)^n/(n-4)^8+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n) *n^6+35/6*(n-2)^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n -2)^5/(n^n)*n^3-1/9*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+2*n^17*((n-1)^n)^4/(n-1)^ 14/(n^n)^4-133/9*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+172/3*n^15*((n-1)^n)^4/(n-1) ^14/(n^n)^4-1108/9*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+416/3*n^13*((n-1)^n)^4/(n-\ 1)^14/(n^n)^4+7/36/(n^n)*n^12*(n-4)^n/(n-4)^8-77/12/(n^n)*n^11*(n-4)^n/(n-4)^8+ 91/(n^n)*n^10*(n-4)^n/(n-4)^8-4361/6/(n^n)*n^9*(n-4)^n/(n-4)^8+43169/12/(n^n)*n ^8*(n-4)^n/(n-4)^8-137053/12/(n^n)*n^7*(n-4)^n/(n-4)^8+417697/18/(n^n)*n^6*(n-4 )^n/(n-4)^8-87017/3/(n^n)*n^5*(n-4)^n/(n-4)^8+20146/(n^n)*n^4*(n-4)^n/(n-4)^8-\ 5880/(n^n)*n^3*(n-4)^n/(n-4)^8+7/6/(n^n)*n^8*(n-3)^n/(n-3)^5-14/(n^n)*n^7*(n-3) ^n/(n-3)^5+385/6/(n^n)*n^6*(n-3)^n/(n-3)^5-140/(n^n)*n^5*(n-3)^n/(n-3)^5+434/3/ (n^n)*n^4*(n-3)^n/(n-3)^5-56/(n^n)*n^3*(n-3)^n/(n-3)^5+1/(n^n)*n^9*(n-4)^n/(n-4 )^5-15/(n^n)*n^8*(n-4)^n/(n-4)^5+91/(n^n)*n^7*(n-4)^n/(n-4)^5-285/(n^n)*n^6*(n-\ 4)^n/(n-4)^5+484/(n^n)*n^5*(n-4)^n/(n-4)^5-420/(n^n)*n^4*(n-4)^n/(n-4)^5+144/(n ^n)*n^3*(n-4)^n/(n-4)^5-4*n^15*((n-1)^n)^5/(n-1)^13/(n^n)^5-5/36*n^24*((n-1)^n) ^6/(n-1)^18/(n^n)^6+5/2*n^23*((n-1)^n)^6/(n-1)^18/(n^n)^6-665/36*n^22*((n-1)^n) ^6/(n-1)^18/(n^n)^6+215/3*n^21*((n-1)^n)^6/(n-1)^18/(n^n)^6-1385/9*n^20*((n-1)^ n)^6/(n-1)^18/(n^n)^6+520/3*n^19*((n-1)^n)^6/(n-1)^18/(n^n)^6+1/36/(n^n)*n^14*( n-6)^n/(n-6)^8-7/6/(n^n)*n^13*(n-6)^n/(n-6)^8+785/36/(n^n)*n^12*(n-6)^n/(n-6)^8 -1435/6/(n^n)*n^11*(n-6)^n/(n-6)^8+20501/12/(n^n)*n^10*(n-6)^n/(n-6)^8-16667/2/ (n^n)*n^9*(n-6)^n/(n-6)^8+1017995/36/(n^n)*n^8*(n-6)^n/(n-6)^8-399665/6/(n^n)*n ^7*(n-6)^n/(n-6)^8+958249/9/(n^n)*n^6*(n-6)^n/(n-6)^8-328846/3/(n^n)*n^5*(n-6)^ n/(n-6)^8+65120/(n^n)*n^4*(n-6)^n/(n-6)^8-16800/(n^n)*n^3*(n-6)^n/(n-6)^8-200/3 *n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+1870/3*n^13*(n-1)^n/(n-1)^2/(n^n) ^2*(n-5)^n/(n-5)^8-3717*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+14749*n^11 *(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-354290/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2* (n-5)^n/(n-5)^8+626540/9*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8-233432/3*n ^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+49408*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n -5)^n/(n-5)^8-13440*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+1/6*n^18*((n-1) ^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-11/2*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 4)^n/(n-4)^8+78*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-623*n^15*((n-1 )^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+6167/2*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3* (n-4)^n/(n-4)^8-19579/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+59671/ 3*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-24862*n^11*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-4)^n/(n-4)^8+17268*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4) ^8-5040*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-1/9*n^16*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-5)^n/(n-5)^8+37/9*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+2/9 *n^22*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5-38/9*n^21*((n-1)^n)^4/(n-1)^ 11/(n^n)^5*(n-2)^n/(n-2)^5+302/9*n^20*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2 )^5-1298/9*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5+3248/9*n^18*((n-1) ^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5-4712/9*n^17*((n-1)^n)^4/(n-1)^11/(n^n)^5 *(n-2)^n/(n-2)^5+1216/3*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5-128*n ^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5+317*n^17*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-3)^n/(n-3)^5-974*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5+ 1868*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-6536/3*n^14*((n-1)^n)^3/( n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5+1408*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n -3)^5-384*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5+1/36*n^15*((n-1)^n)^ 3/(n-1)^12/(n^n)^3-1/2*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^3+133/36*n^13*((n-1)^n)^ 3/(n-1)^12/(n^n)^3-43/3*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^3+277/9*n^11*((n-1)^n)^ 3/(n-1)^12/(n^n)^3-104/3*n^10*((n-1)^n)^3/(n-1)^12/(n^n)^3-1/3*n^15*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-4)^n/(n-4)^8+11*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-\ 156*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+1/36/(n^n)*n^11*(n-3)^n/(n-3)^ 8-5/6/(n^n)*n^10*(n-3)^n/(n-3)^8+21/2/(n^n)*n^9*(n-3)^n/(n-3)^8-217/3/(n^n)*n^8 *(n-3)^n/(n-3)^8+3563/12/(n^n)*n^7*(n-3)^n/(n-3)^8-4445/6/(n^n)*n^6*(n-3)^n/(n-\ 3)^8+9833/9/(n^n)*n^5*(n-3)^n/(n-3)^8-866/(n^n)*n^4*(n-3)^n/(n-3)^8+280/(n^n)*n ^3*(n-3)^n/(n-3)^8-1/3*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+19/3*n ^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-151/3*n^17*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^2+649/3*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2 )^2-1624/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2+2356/3*n^14*((n-1) ^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^2-608*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n -2)^n/(n-2)^2 The, 4, 3, mixed moment of, X[1], and , X[4], is 28 n 5 n 27 n 5 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 19 n 6 2 19 n 6 2 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 29 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 19 n 6 2 19 n 6 2 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 19 n 6 2 19 n 6 2 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 20207 n ((n - 1) ) (n - 2) 29306 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 19 n 6 2 19 n 6 2 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 3032 n ((n - 1) ) (n - 2) 1632 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 19 n 6 2 19 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 26 n 4 n 384 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 19 n 6 2 17 n 5 2 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 5 n ((n - 1) ) (n - 3) 202 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 17 n 5 2 17 n 5 2 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 179 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 17 n 5 2 17 n 5 2 3 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 3398 n ((n - 1) ) (n - 3) 77884 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 17 n 5 2 17 n 5 2 3 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 46480 n ((n - 1) ) (n - 3) 171800 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 17 n 5 2 17 n 5 2 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n n ((n - 1) ) (n - 2) 10 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 35 n ((n - 1) ) (n - 2) 50 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 11 n n 24 n ((n - 1) ) (n - 2) 2 n (n - 1) (n - 3) + -------------------------- - ----------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 10 n n 9 n n 24 n (n - 1) (n - 3) 110 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 240 n (n - 1) (n - 3) 248 n (n - 1) (n - 3) + ------------------------ - ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n 4 96 n (n - 1) (n - 3) 64 n ((n - 1) ) + ----------------------- + ------------------ 2 n 2 5 17 n 4 (n - 1) (n ) (n - 3) (n - 1) (n ) 22 n 3 n 21 n 3 n 7 n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 15 n 4 2 15 n 4 2 216 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 203 n ((n - 1) ) (n - 2) 2947 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 15 n 4 2 15 n 4 2 18 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 27643 n ((n - 1) ) (n - 2) 43715 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 4 2 15 n 4 2 72 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 16 n 3 n 13 n 3 n 141449 n ((n - 1) ) (n - 2) 1904 n ((n - 1) ) (n - 2) - ------------------------------- + ----------------------------- 15 n 4 2 15 n 4 2 54 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 3 n 448 n ((n - 1) ) (n - 2) 102571 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------- 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 14 n 3 n 22 n 3 n 10612 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ - --------------------------- 15 n 4 2 12 n 4 5 3 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 14 n ((n - 1) ) (n - 2) 58 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 6245 n ((n - 1) ) (n - 2) 40414 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 58612 n ((n - 1) ) (n - 2) 6064 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 3264 n ((n - 1) ) (n - 2) 768 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 136297 n ((n - 1) ) (n - 3) 81340 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 300650 n ((n - 1) ) (n - 3) 26936 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 12768 n ((n - 1) ) (n - 3) 2688 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 7 n ((n - 1) ) (n - 3) 35 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 72 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 707 n ((n - 1) ) (n - 3) 1253 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 18 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 39431 n ((n - 1) ) (n - 3) 11893 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 24 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 13 n ((n - 1) ) (n - 3) 337 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 7 n 3 8 7 n 3 8 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 1135 n ((n - 1) ) (n - 3) 14891 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 22183 n ((n - 1) ) (n - 3) 309886 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 222520 n ((n - 1) ) (n - 3) 976688 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 307544 n ((n - 1) ) (n - 3) 56128 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 13440 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 18 n n 17 n n 7 n (n - 1) (n - 4) 49 n (n - 1) (n - 4) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 16 n n 13 n n 5537 n (n - 1) (n - 4) n (n - 1) (n - 2) - -------------------------- - -------------------------- 5 n 2 8 5 n 2 5 72 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 406 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 589 n (n - 1) (n - 2) 152 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 15 n n 48 n (n - 1) (n - 2) 2576 n (n - 1) (n - 4) + ----------------------- + -------------------------- 5 n 2 5 5 n 2 8 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 151907 n (n - 1) (n - 4) 129759 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 24 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 12 n n 11 n n 8530991 n (n - 1) (n - 4) 1863421 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 10 n n 9 n n 5213894 n (n - 1) (n - 4) 2247406 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 636426 n (n - 1) (n - 4) 318192 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 18 n n 70560 n (n - 1) (n - 4) n (n - 1) (n - 4) - -------------------------- - --------------------------- 5 n 2 8 2 n 2 11 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 17 n n 16 n n 10 n (n - 1) (n - 4) 1601 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 15 n n 14 n n 4180 n (n - 1) (n - 4) 85481 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 13 n n 12 n n 33330 n (n - 1) (n - 4) 8873843 n (n - 1) (n - 4) + --------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 11 n n 10 n n 5151080 n (n - 1) (n - 4) 37651328 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 9 n n 8 n n 20808920 n (n - 1) (n - 4) 7405192 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 7 n n 6 n n 1516960 n (n - 1) (n - 4) 403200 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 2090 n ((n - 1) ) (n - 4) 85481 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 49995 n ((n - 1) ) (n - 4) 8873843 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 2575540 n ((n - 1) ) (n - 4) 18825664 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 10404460 n ((n - 1) ) (n - 4) 3702596 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 2275440 n ((n - 1) ) (n - 4) 604800 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------ 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 16 n n 32 n (n - 1) (n - 5) 15742 n (n - 1) (n - 5) + -------------------------- + --------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 17 n n 19 n n 1841 n (n - 1) (n - 5) n (n - 1) (n - 5) - --------------------------- - --------------------------- 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 13 n n 15 n n 16073123 n (n - 1) (n - 5) 118921 n (n - 1) (n - 5) - ------------------------------ - ---------------------------- 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 9 n n 8 n n 105451256 n (n - 1) (n - 5) 34171648 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 11 n n 470932 n (n - 1) (n - 5) 99464288 n (n - 1) (n - 5) + ---------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 33200926 n (n - 1) (n - 5) 19413120 n (n - 1) (n - 5) + ------------------------------ - ----------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 213032072 n (n - 1) (n - 5) 4838400 n (n - 1) (n - 5) + ------------------------------- + ---------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 1472 n ((n - 1) ) (n - 4) 21701 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 55611 n ((n - 1) ) (n - 4) 1218713 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 532406 n ((n - 1) ) (n - 4) 2979368 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1284232 n ((n - 1) ) (n - 4) 1091016 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 545472 n ((n - 1) ) (n - 4) 120960 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 18 n n n (n - 1) (n - 5) 23 n (n - 1) (n - 5) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 17 n n 16 n n 959 n (n - 1) (n - 5) 2999 n (n - 1) (n - 5) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n n 14 n n 33477 n (n - 1) (n - 5) 99013 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 13 n n 12 n n 2553377 n (n - 1) (n - 5) 2017322 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 11 n n 10 n n 4684120 n (n - 1) (n - 5) 7885084 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 3113972 n (n - 1) (n - 5) 2454768 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 1151424 n (n - 1) (n - 5) 241920 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 46176 n ((n - 1) ) (n - 3) 21888 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 4608 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ----------------------------- - -------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 5 n ((n - 1) ) (n - 3) 202 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 537 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 15 n 2 n 10194 n ((n - 1) ) (n - 3) 84815 n ((n - 1) ) (n - 4) + ------------------------------ + ------------------------------ 12 n 4 5 10 n 3 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 62182 n ((n - 1) ) (n - 4) 295060 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 108988 n ((n - 1) ) (n - 4) 80208 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 35136 n ((n - 1) ) (n - 4) 6912 n ((n - 1) ) (n - 4) - ------------------------------ + ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 739 n ((n - 1) ) (n - 4) 8855 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 10 n 3 5 10 n 3 5 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 13 n n 37287 n ((n - 1) ) (n - 4) 421 n (n - 1) (n - 5) - ------------------------------ + ------------------------- 10 n 3 5 5 n 2 5 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 5) 12 n n 11 n n 3949 n (n - 1) (n - 5) 6245 n (n - 1) (n - 5) - -------------------------- + -------------------------- 5 n 2 5 5 n 2 5 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 10 n n 9 n n 20207 n (n - 1) (n - 5) 29306 n (n - 1) (n - 5) - --------------------------- + -------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 7 n n 9096 n (n - 1) (n - 5) 4896 n (n - 1) (n - 5) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 1152 n (n - 1) (n - 5) n (n - 1) (n - 5) - ------------------------- - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 15 n n 14 n n 7 n (n - 1) (n - 5) 29 n (n - 1) (n - 5) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 4 n 21 n 4 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 8 n 5 8 8 n 5 8 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 161 n ((n - 1) ) (n - 2) 490 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 5 8 8 n 5 8 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 6769 n ((n - 1) ) (n - 2) 3283 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 5 8 8 n 5 8 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 1089 n ((n - 1) ) (n - 2) 420 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 8 n 5 8 8 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n n ((n - 1) ) (n - 3) 10 n ((n - 1) ) (n - 3) - ------------------------- + --------------------------- 6 n 4 8 6 n 4 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 126 n ((n - 1) ) (n - 3) 868 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 3563 n ((n - 1) ) (n - 3) 8890 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 39332 n ((n - 1) ) (n - 3) 10392 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 4 8 6 n 4 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 17 n 2 n 3360 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 6 n 4 8 4 n 3 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 3) 189 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1302 n ((n - 1) ) (n - 3) 10689 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 13335 n ((n - 1) ) (n - 3) 19666 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 15588 n ((n - 1) ) (n - 3) 5040 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 759 n (n - 1) (n - 4) 5775 n (n - 1) (n - 4) + ------------------------- - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 7185 n (n - 1) (n - 4) 11674 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 11916 n (n - 1) (n - 4) 6912 n (n - 1) (n - 4) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n n 1728 n (n - 1) (n - 4) n (n - 1) (n - 4) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 12 n (n - 1) (n - 4) 126 n (n - 1) (n - 4) + ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) - ------------------------- + --------------------------- 9 n 4 5 9 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 151 n ((n - 1) ) (n - 2) 649 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 812 n ((n - 1) ) (n - 2) 1178 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 912 n ((n - 1) ) (n - 2) 288 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 951 n ((n - 1) ) (n - 3) 2922 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 5604 n ((n - 1) ) (n - 3) 6536 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 4224 n ((n - 1) ) (n - 3) 1152 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n n ((n - 1) ) (n - 3) 21 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 6 n 5 n 189 n ((n - 1) ) (n - 3) 812 n (n - 5) 1178 n (n - 5) + ---------------------------- + --------------- - ---------------- 7 n 3 5 n 5 n 5 (n - 1) (n ) (n - 3) 3 n (n - 5) 3 n (n - 5) 4 n 3 n 21 n 4 304 n (n - 5) 96 n (n - 5) n ((n - 1) ) + --------------- - -------------- - ------------------- n 5 n 5 17 n 4 n (n - 5) n (n - 5) 216 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 n ((n - 1) ) 107 n ((n - 1) ) 245 n ((n - 1) ) + ----------------- - ------------------- + ------------------- 17 n 4 17 n 4 17 n 4 8 (n - 1) (n ) 72 (n - 1) (n ) 24 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 1607 n ((n - 1) ) 773 n ((n - 1) ) 6625 n ((n - 1) ) - -------------------- + ------------------- - -------------------- 17 n 4 17 n 4 17 n 4 36 (n - 1) (n ) 6 (n - 1) (n ) 27 (n - 1) (n ) 14 n 4 13 n 4 15 n 892 n ((n - 1) ) 208 n ((n - 1) ) n (n - 4) + ------------------- - ------------------- + ---------------- 17 n 4 17 n 4 n 11 3 (n - 1) (n ) (n - 1) (n ) 216 n (n - 4) 14 n 13 n 12 n 5 n (n - 4) 1601 n (n - 4) 1045 n (n - 4) - --------------- + ----------------- - ----------------- n 11 n 11 n 11 18 n (n - 4) 216 n (n - 4) 9 n (n - 4) 11 n 10 n 9 n 85481 n (n - 4) 16665 n (n - 4) 8873843 n (n - 4) + ------------------ - ------------------ + ------------------- n 11 n 11 n 11 72 n (n - 4) 2 n (n - 4) 216 n (n - 4) 8 n 7 n 6 n 1287770 n (n - 4) 9412832 n (n - 4) 5202230 n (n - 4) - ------------------- + ------------------- - ------------------- n 11 n 11 n 11 9 n (n - 4) 27 n (n - 4) 9 n (n - 4) 5 n 4 n 3 n 1851298 n (n - 4) 379240 n (n - 4) 100800 n (n - 4) + ------------------- - ------------------ + ------------------ n 11 n 11 n 11 3 n (n - 4) n (n - 4) n (n - 4) 10 n 9 n 8 n 7 n n (n - 5) 19 n (n - 5) 151 n (n - 5) 649 n (n - 5) + ------------- - -------------- + --------------- - --------------- n 5 n 5 n 5 n 5 6 n (n - 5) 6 n (n - 5) 6 n (n - 5) 6 n (n - 5) 18 n 5 17 n 5 16 n 5 n ((n - 1) ) 3 n ((n - 1) ) 13 n ((n - 1) ) + ----------------- - ----------------- + ------------------ 13 n 5 13 n 5 13 n 5 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) 18 n 6 14 n 2 n 384 n ((n - 1) ) n ((n - 1) ) (n - 3) + ------------------- + ------------------------ 21 n 6 4 n 3 5 (n - 1) (n ) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 12 n ((n - 1) ) (n - 3) 55 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 120 n ((n - 1) ) (n - 3) 124 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n n 48 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) - -------------------------- - ------------------------- 4 n 3 5 2 n 2 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 11 n n 10 n n 10 n (n - 1) (n - 4) 182 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 190 n (n - 1) (n - 4) 968 n (n - 1) (n - 4) + ------------------------ - ------------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 7 n n 6 n n 280 n (n - 1) (n - 4) 96 n (n - 1) (n - 4) + ------------------------ - ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 4 n 24 n 4 n n ((n - 1) ) (n - 2) 14 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 17 n 5 2 17 n 5 2 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 58 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 17 n 5 2 17 n 5 2 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 17 n 5 2 17 n 5 2 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 4 n 16 n 4 n 40414 n ((n - 1) ) (n - 2) 3264 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 17 n 5 2 17 n 5 2 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 4 n 768 n ((n - 1) ) (n - 2) 58612 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 17 n 5 2 17 n 5 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n n ((n - 1) ) (n - 3) 21 n ((n - 1) ) (n - 3) - ------------------------- + --------------------------- 9 n 4 5 9 n 4 5 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 15 n 2 n 189 n ((n - 1) ) (n - 3) 506 n ((n - 1) ) (n - 4) - ---------------------------- - ---------------------------- 9 n 4 5 7 n 3 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1925 n ((n - 1) ) (n - 4) 4790 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 23348 n ((n - 1) ) (n - 4) 7944 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 4608 n ((n - 1) ) (n - 4) 1152 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 4) 8 n ((n - 1) ) (n - 4) + ------------------------- - -------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 16 n 3 n 84 n ((n - 1) ) (n - 4) 2 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 7 n 3 5 6 n 4 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 20 n ((n - 1) ) (n - 2) 70 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 100 n ((n - 1) ) (n - 2) 16 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 5 n ((n - 1) ) (n - 4) + --------------------------- - -------------------------- 4 n 3 11 4 n 3 11 36 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 19 n 2 n 11 n n 1601 n ((n - 1) ) (n - 4) 2219 n (n - 1) (n - 3) + ----------------------------- + -------------------------- 4 n 3 11 5 n 2 5 36 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 3) 10 n n 9 n n 3409 n (n - 1) (n - 3) 3269 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 11438 n (n - 1) (n - 3) 2464 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 672 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - ------------------------ - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 13 n n 12 n n 49 n (n - 1) (n - 3) 441 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 10 n (n - 1) (n - 3) - ------------------------- + ------------------------ 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 126 n (n - 1) (n - 3) 868 n (n - 1) (n - 3) - ------------------------- + ------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 3563 n (n - 1) (n - 3) 8890 n (n - 1) (n - 3) - -------------------------- + ------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 39332 n (n - 1) (n - 3) 10392 n (n - 1) (n - 3) - -------------------------- + -------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 12 n 3360 n (n - 1) (n - 3) n (n - 5) 37 n (n - 5) - ------------------------- + ------------- - --------------- 2 n 2 8 n 8 n 8 (n - 1) (n ) (n - 3) 2 n (n - 5) 2 n (n - 5) 11 n 10 n 9 n 300 n (n - 5) 2805 n (n - 5) 33453 n (n - 5) + ---------------- - ----------------- + ----------------- n 8 n 8 n 8 n (n - 5) n (n - 5) 2 n (n - 5) 8 n 7 n 6 n 132741 n (n - 5) 177145 n (n - 5) 313270 n (n - 5) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 2 n (n - 5) n (n - 5) n (n - 5) 5 n 4 n 3 n 350148 n (n - 5) 222336 n (n - 5) 60480 n (n - 5) + ------------------ - ------------------ + ----------------- n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 23 n 4 n 22 n 4 n 537 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 21 n 4 n 18 n 3 n 5097 n ((n - 1) ) (n - 3) 169630 n ((n - 1) ) (n - 4) - ----------------------------- - ------------------------------- 14 n 5 5 12 n 4 5 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 124364 n ((n - 1) ) (n - 4) 590120 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 217976 n ((n - 1) ) (n - 4) 53472 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 23424 n ((n - 1) ) (n - 4) 4608 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 4) 11 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 12 n 4 5 12 n 4 5 18 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 247 n ((n - 1) ) (n - 4) 739 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 8855 n ((n - 1) ) (n - 4) 12429 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 17 n 18 n 14 n 25 n (n - 7) n (n - 7) 758317 n (n - 7) - --------------- + ---------------- + ------------------- n 11 n 11 n 11 72 n (n - 7) 216 n (n - 7) 216 n (n - 7) 13 n 12 n 11 n 854945 n (n - 7) 57857525 n (n - 7) 109324655 n (n - 7) - ------------------- + --------------------- - ---------------------- n 11 n 11 n 11 24 n (n - 7) 216 n (n - 7) 72 n (n - 7) 16 n 15 n 10 n 2575 n (n - 7) 17885 n (n - 7) 705771319 n (n - 7) + ----------------- - ------------------ + ---------------------- n 11 n 11 n 11 216 n (n - 7) 72 n (n - 7) 108 n (n - 7) 6 n 5 n 8 n 362453452 n (n - 7) 103627680 n (n - 7) 1410908800 n (n - 7) + --------------------- - --------------------- + ---------------------- n 11 n 11 n 11 3 n (n - 7) n (n - 7) 27 n (n - 7) 9 n 4 n 7 n 191930585 n (n - 7) 52968000 n (n - 7) 94244430 n (n - 7) - --------------------- + -------------------- - -------------------- n 11 n 11 n 11 9 n (n - 7) n (n - 7) n (n - 7) 3 n 18 n 6 22 n 2 n 12096000 n (n - 7) 48 n ((n - 1) ) n ((n - 1) ) (n - 5) - -------------------- - ------------------ + --------------------------- n 11 18 n 6 10 n 3 5 n (n - 7) (n - 1) (n ) 72 (n - 1) (n ) (n - 5) 21 n 2 n 20 n 2 n 37 n ((n - 1) ) (n - 5) 313 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 10 n 3 5 10 n 3 5 72 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 98338 n ((n - 1) ) (n - 5) 262903 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 520622 n ((n - 1) ) (n - 5) 753602 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 258080 n ((n - 1) ) (n - 5) 59328 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 16 n 2 n 24576 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 2) + ------------------------------ + ------------------------- 10 n 3 5 7 n 3 5 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 649 n ((n - 1) ) (n - 2) 1624 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 2356 n ((n - 1) ) (n - 2) 608 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n n 192 n ((n - 1) ) (n - 2) 2 n (n - 1) (n - 2) - --------------------------- - ------------------------- 7 n 3 5 2 n 2 5 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 9 n n 8 n n 20 n (n - 1) (n - 2) 70 n (n - 1) (n - 2) + ------------------------- - ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 100 n (n - 1) (n - 2) 16 n (n - 1) (n - 2) + ------------------------- - ----------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 5 30 n 7 29 n 7 256 n ((n - 1) ) n ((n - 1) ) 3 n ((n - 1) ) - ------------------- + ------------------ - ----------------- 19 n 5 23 n 7 23 n 7 (n - 1) (n ) 36 (n - 1) (n ) 4 (n - 1) (n ) 28 n 7 27 n 7 26 n 7 107 n ((n - 1) ) 245 n ((n - 1) ) 1607 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 23 n 7 23 n 7 23 n 7 12 (n - 1) (n ) 4 (n - 1) (n ) 6 (n - 1) (n ) 25 n 7 24 n 7 23 n 7 773 n ((n - 1) ) 13250 n ((n - 1) ) 1784 n ((n - 1) ) - ------------------- + --------------------- - -------------------- 23 n 7 23 n 7 23 n 7 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 22 n 7 15 n 13 n 1248 n ((n - 1) ) 56 n (n - 5) 55097 n (n - 5) + -------------------- - --------------- - ------------------ 23 n 7 n 11 n 11 (n - 1) (n ) 27 n (n - 5) 54 n (n - 5) 14 n 16 n 10 n 12887 n (n - 5) 7 n (n - 5) 112511861 n (n - 5) + ------------------ + ---------------- + ---------------------- n 11 n 11 n 11 216 n (n - 5) 216 n (n - 5) 216 n (n - 5) 12 n 6 n 5 n 832447 n (n - 5) 184539698 n (n - 5) 59800384 n (n - 5) + ------------------- + --------------------- - -------------------- n 11 n 11 n 11 72 n (n - 5) 9 n (n - 5) 3 n (n - 5) 11 n 8 n 9 n 824131 n (n - 5) 174062504 n (n - 5) 116203241 n (n - 5) - ------------------- + --------------------- - --------------------- n 11 n 11 n 11 9 n (n - 5) 27 n (n - 5) 54 n (n - 5) 4 n 7 n 3 n 11324320 n (n - 5) 372806126 n (n - 5) 2822400 n (n - 5) + -------------------- - --------------------- - ------------------- n 11 n 11 n 11 n (n - 5) 27 n (n - 5) n (n - 5) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) n ((n - 1) ) 107 n ((n - 1) ) + ------------------ - ----------------- + ------------------- 19 n 5 19 n 5 19 n 5 54 (n - 1) (n ) 2 (n - 1) (n ) 18 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 245 n ((n - 1) ) 1607 n ((n - 1) ) 1546 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 19 n 5 19 n 5 19 n 5 6 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 26500 n ((n - 1) ) 3568 n ((n - 1) ) 832 n ((n - 1) ) + --------------------- - -------------------- + ------------------- 19 n 5 19 n 5 19 n 5 27 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 17 n 4 n 23 n 3 n 6064 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 17 n 5 2 15 n 4 2 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 5 n ((n - 1) ) (n - 3) 101 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 15 n 4 2 15 n 4 2 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 179 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 15 n 4 2 15 n 4 2 2 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 1699 n ((n - 1) ) (n - 3) 38942 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 7696 n ((n - 1) ) (n - 3) 3648 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 16 n 3 n 768 n ((n - 1) ) (n - 3) 23240 n ((n - 1) ) (n - 3) + ---------------------------- + ------------------------------ 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 25 n 4 n 85900 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------- 15 n 4 2 14 n 5 5 9 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 14 n 5 5 14 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 29306 n ((n - 1) ) (n - 2) 9096 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 14 n 5 5 14 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 4896 n ((n - 1) ) (n - 2) 1152 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 77884 n ((n - 1) ) (n - 3) 46480 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 26 n 4 n 171800 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------- 12 n 4 5 11 n 5 8 3 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 13 n ((n - 1) ) (n - 3) 337 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 11 n 5 8 11 n 5 8 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 1135 n ((n - 1) ) (n - 3) 14891 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 11 n 5 8 11 n 5 8 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 22183 n ((n - 1) ) (n - 3) 309886 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 11 n 5 8 11 n 5 8 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 222520 n ((n - 1) ) (n - 3) 976688 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 11 n 5 8 11 n 5 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 307544 n ((n - 1) ) (n - 3) 56128 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 11 n 5 8 11 n 5 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 24 n 3 n 13440 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ------------------------------ - -------------------------- 11 n 5 8 9 n 4 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 7 n ((n - 1) ) (n - 4) 791 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 9 n 4 8 9 n 4 8 2 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 12 n n 11 n n 3738 n (n - 1) (n - 4) 18501 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 58737 n (n - 1) (n - 4) 119342 n (n - 1) (n - 4) + --------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 149172 n (n - 1) (n - 4) 103608 n (n - 1) (n - 4) + --------------------------- - --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n n 7 n 6 30240 n (n - 1) (n - 4) (n - 2) n 5 (n - 2) n + -------------------------- + ------------- - ------------- 2 n 2 8 5 n 5 n (n - 1) (n ) (n - 4) 6 (n - 2) n 3 (n - 2) n n 5 n 4 n 3 21 n 7 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n 384 n ((n - 1) ) + -------------- - -------------- + ------------- - ------------------- 5 n 5 n 5 n 23 n 7 6 (n - 2) n 3 (n - 2) n (n - 2) n (n - 1) (n ) 20 n n 19 n n n (n - 1) (n - 6) 17 n (n - 1) (n - 6) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 6) 24 (n - 1) (n ) (n - 6) 18 n n 17 n 3 n 1189 n (n - 1) (n - 6) 5151080 n ((n - 1) ) (n - 4) - -------------------------- + -------------------------------- 5 n 2 8 6 n 4 11 72 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 37651328 n ((n - 1) ) (n - 4) 20808920 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 6 n 4 11 6 n 4 11 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 7405192 n ((n - 1) ) (n - 4) 1516960 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 4 11 6 n 4 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 21 n 2 n 403200 n ((n - 1) ) (n - 4) 16 n ((n - 1) ) (n - 5) - ------------------------------- - --------------------------- 6 n 4 11 4 n 3 11 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 19 n 2 n 20 n 2 n 7871 n ((n - 1) ) (n - 5) 1841 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 4 n 3 11 4 n 3 11 9 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 22 n 2 n 16 n 2 n n ((n - 1) ) (n - 5) 16073123 n ((n - 1) ) (n - 5) + --------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 36 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 18 n 2 n 12 n 2 n 118921 n ((n - 1) ) (n - 5) 52725628 n ((n - 1) ) (n - 5) + ------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 12 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 11 n 2 n 17 n 2 n 17085824 n ((n - 1) ) (n - 5) 235466 n ((n - 1) ) (n - 5) - --------------------------------- - ------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 14 n 2 n 15 n 2 n 49732144 n ((n - 1) ) (n - 5) 16600463 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 4 n 3 11 4 n 3 11 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 10 n 2 n 13 n 2 n 9706560 n ((n - 1) ) (n - 5) 106516036 n ((n - 1) ) (n - 5) + -------------------------------- - ---------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n 2 n 12 n 11 n 2419200 n ((n - 1) ) (n - 5) 7 n (n - 4) 77 n (n - 4) - ------------------------------- + -------------- - --------------- 4 n 3 11 n 8 n 8 (n - 1) (n ) (n - 5) 12 n (n - 4) 4 n (n - 4) 10 n 9 n 8 n 273 n (n - 4) 4361 n (n - 4) 43169 n (n - 4) + ---------------- - ---------------- + ----------------- n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 7 n 6 n 5 n 137053 n (n - 4) 417697 n (n - 4) 87017 n (n - 4) - ------------------ + ------------------ - ----------------- n 8 n 8 n 8 4 n (n - 4) 6 n (n - 4) n (n - 4) 4 n 3 n 8 n 7 n 60438 n (n - 4) 17640 n (n - 4) 7 n (n - 3) 14 n (n - 3) + ----------------- - ----------------- + ------------- - -------------- n 8 n 8 n 5 n 5 n (n - 4) n (n - 4) 6 n (n - 3) n (n - 3) 6 n 5 n 4 n 3 n 385 n (n - 3) 140 n (n - 3) 434 n (n - 3) 56 n (n - 3) + --------------- - --------------- + --------------- - -------------- n 5 n 5 n 5 n 5 6 n (n - 3) n (n - 3) 3 n (n - 3) n (n - 3) 14 n n 13 n n 1135 n (n - 1) (n - 3) 14891 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 12 n n 11 n n 22183 n (n - 1) (n - 3) 154943 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 10 n n 9 n n 55630 n (n - 1) (n - 3) 244172 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 76886 n (n - 1) (n - 3) 14032 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n n 3360 n (n - 1) (n - 3) n (n - 1) (n - 3) + ------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n n ((n - 1) ) (n - 2) 14 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 16 n 6 5 16 n 6 5 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 58 n ((n - 1) ) (n - 2) 421 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 16 n 6 5 16 n 6 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 3949 n ((n - 1) ) (n - 2) 6245 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 16 n 6 5 16 n 6 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 40414 n ((n - 1) ) (n - 2) 58612 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 16 n 6 5 16 n 6 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 6064 n ((n - 1) ) (n - 2) 3264 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 16 n 6 5 16 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 20 n 4 n 768 n ((n - 1) ) (n - 2) 38942 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 16 n 6 5 14 n 5 5 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 23240 n ((n - 1) ) (n - 3) 85900 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 23088 n ((n - 1) ) (n - 3) 10944 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 26 n 4 n 2304 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 5 n ((n - 1) ) (n - 3) 101 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 15 n 13 n n (n - 6) 2161 n (n - 6) 514183 n (n - 6) + --------------- + ----------------- + ------------------- n 11 n 11 n 11 36 n (n - 6) 36 n (n - 6) 36 n (n - 6) 14 n 16 n 10 n 4521 n (n - 6) 23 n (n - 6) 48922489 n (n - 6) - ----------------- - --------------- - --------------------- n 11 n 11 n 11 4 n (n - 6) 12 n (n - 6) 12 n (n - 6) 12 n 6 n 5 n 1536469 n (n - 6) 314885612 n (n - 6) 95135680 n (n - 6) - -------------------- - --------------------- + -------------------- n 11 n 11 n 11 12 n (n - 6) 3 n (n - 6) n (n - 6) 11 n 8 n 9 n 30201083 n (n - 6) 39464084 n (n - 6) 132734459 n (n - 6) + --------------------- - -------------------- + --------------------- n 11 n 11 n 11 36 n (n - 6) n (n - 6) 9 n (n - 6) 4 n 7 n 3 n 50952000 n (n - 6) 690757064 n (n - 6) 12096000 n (n - 6) - -------------------- + --------------------- + -------------------- n 11 n 11 n 11 n (n - 6) 9 n (n - 6) n (n - 6) 9 n 8 n 7 n 6 n n (n - 4) 15 n (n - 4) 91 n (n - 4) 285 n (n - 4) + ----------- - -------------- + -------------- - --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 15 n 5 484 n (n - 4) 420 n (n - 4) 144 n (n - 4) 4 n ((n - 1) ) + --------------- - --------------- + --------------- - ----------------- n 5 n 5 n 5 13 n 5 n (n - 4) n (n - 4) n (n - 4) (n - 1) (n ) 24 n 6 23 n 6 22 n 6 n ((n - 1) ) 3 n ((n - 1) ) 133 n ((n - 1) ) - ------------------ + ----------------- - ------------------- 18 n 6 18 n 6 18 n 6 12 (n - 1) (n ) 2 (n - 1) (n ) 12 (n - 1) (n ) 21 n 6 20 n 6 19 n 6 43 n ((n - 1) ) 277 n ((n - 1) ) 104 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 18 n 6 18 n 6 18 n 6 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 14 n 13 n 12 n 11 n n (n - 6) 7 n (n - 6) 785 n (n - 6) 1435 n (n - 6) + -------------- - -------------- + ---------------- - ----------------- n 8 n 8 n 8 n 8 12 n (n - 6) 2 n (n - 6) 12 n (n - 6) 2 n (n - 6) 10 n 9 n 8 n 20501 n (n - 6) 50001 n (n - 6) 1017995 n (n - 6) + ------------------ - ----------------- + ------------------- n 8 n 8 n 8 4 n (n - 6) 2 n (n - 6) 12 n (n - 6) 7 n 6 n 5 n 399665 n (n - 6) 958249 n (n - 6) 328846 n (n - 6) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 2 n (n - 6) 3 n (n - 6) n (n - 6) 4 n 3 n 16 n 3 n 195360 n (n - 6) 50400 n (n - 6) 111260 n ((n - 1) ) (n - 3) + ------------------ - ----------------- + ------------------------------- n 8 n 8 9 n 4 8 n (n - 6) n (n - 6) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 488344 n ((n - 1) ) (n - 3) 153772 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 84192 n ((n - 1) ) (n - 3) 20160 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 21 n 2 n n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - -------------------------- + ------------------------- 9 n 4 8 7 n 3 8 12 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 7 n ((n - 1) ) (n - 4) 791 n ((n - 1) ) (n - 4) - -------------------------- + ---------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n n 13 n n 200 n (n - 1) (n - 5) 1870 n (n - 1) (n - 5) - ------------------------- + -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 11151 n (n - 1) (n - 5) 44247 n (n - 1) (n - 5) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 354290 n (n - 1) (n - 5) 626540 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 7 n n 233432 n (n - 1) (n - 5) 148224 n (n - 1) (n - 5) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n 2 n 40320 n (n - 1) (n - 5) n ((n - 1) ) (n - 4) - -------------------------- + ------------------------- 2 n 2 8 4 n 3 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 33 n ((n - 1) ) (n - 4) 234 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 1869 n ((n - 1) ) (n - 4) 18501 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 58737 n ((n - 1) ) (n - 4) 59671 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 74586 n ((n - 1) ) (n - 4) 51804 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 15120 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) - ----------------------------- - ------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 5) 15 n n 22 n 4 n 37 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) + ------------------------- + -------------------------- 2 n 2 8 11 n 5 5 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 19 n ((n - 1) ) (n - 2) 151 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 11 n 5 5 11 n 5 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 649 n ((n - 1) ) (n - 2) 1624 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 11 n 5 5 11 n 5 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 2356 n ((n - 1) ) (n - 2) 608 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 11 n 5 5 11 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 17 n 3 n 192 n ((n - 1) ) (n - 2) 951 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 11 n 5 5 9 n 4 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1461 n ((n - 1) ) (n - 3) 2802 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 3268 n ((n - 1) ) (n - 3) 2112 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 27 n 6 26 n 6 576 n ((n - 1) ) (n - 3) n ((n - 1) ) 3 n ((n - 1) ) - ---------------------------- - ------------------ + ----------------- 9 n 4 5 21 n 6 21 n 6 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) 4 (n - 1) (n ) 25 n 6 24 n 6 23 n 6 107 n ((n - 1) ) 245 n ((n - 1) ) 1607 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 21 n 6 21 n 6 21 n 6 12 (n - 1) (n ) 4 (n - 1) (n ) 6 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 773 n ((n - 1) ) 13250 n ((n - 1) ) 1784 n ((n - 1) ) + ------------------- - --------------------- + -------------------- 21 n 6 21 n 6 21 n 6 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 19 n 6 9 n 2 n 1248 n ((n - 1) ) 4608 n ((n - 1) ) (n - 5) - -------------------- - ---------------------------- 21 n 6 10 n 3 5 (n - 1) (n ) (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 3205 n ((n - 1) ) (n - 5) 14767 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------ 10 n 3 5 10 n 3 5 36 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 17 n 2 n 25 n 5 n 72707 n ((n - 1) ) (n - 5) 935 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 10 n 3 5 13 n 6 8 24 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 3717 n ((n - 1) ) (n - 2) 14749 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 13 n 6 8 13 n 6 8 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 177145 n ((n - 1) ) (n - 2) 156635 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 6 8 13 n 6 8 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 29179 n ((n - 1) ) (n - 2) 6176 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 13 n 6 8 13 n 6 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 28 n 5 n 1680 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ----------------------------- - --------------------------- 13 n 6 8 13 n 6 8 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 37 n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 13 n 6 8 13 n 6 8 72 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n n 18 n n n (n - 1) (n - 6) 2161 n (n - 1) (n - 6) - --------------------------- - --------------------------- 2 n 2 11 2 n 2 11 54 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 16 n n 17 n n 514183 n (n - 1) (n - 6) 1507 n (n - 1) (n - 6) - ---------------------------- + -------------------------- 2 n 2 11 2 n 2 11 54 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 19 n n 13 n n 23 n (n - 1) (n - 6) 48922489 n (n - 1) (n - 6) + --------------------------- + ------------------------------ 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 15 n n 9 n n 1536469 n (n - 1) (n - 6) 629771224 n (n - 1) (n - 6) + ----------------------------- + ------------------------------ 2 n 2 11 2 n 2 11 18 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 8 n n 14 n n 190271360 n (n - 1) (n - 6) 30201083 n (n - 1) (n - 6) - ------------------------------ - ------------------------------ 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 11 n n 12 n n 78928168 n (n - 1) (n - 6) 265468918 n (n - 1) (n - 6) + ------------------------------ - ------------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 7 n n 10 n n 33968000 n (n - 1) (n - 6) 1381514128 n (n - 1) (n - 6) + ----------------------------- - -------------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 6 n n 17 n 4 n 8064000 n (n - 1) (n - 6) 15392 n ((n - 1) ) (n - 3) - ---------------------------- - ------------------------------ 2 n 2 11 17 n 5 2 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 2432 n ((n - 1) ) (n - 3) 512 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 17 n 5 2 17 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 4) 11 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 15 n 4 2 15 n 4 2 216 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 247 n ((n - 1) ) (n - 4) 739 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 15 n 4 2 15 n 4 2 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 8855 n ((n - 1) ) (n - 4) 4143 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 15 n 4 2 15 n 4 2 72 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 54494 n ((n - 1) ) (n - 4) 4456 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 15 n 4 2 15 n 4 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 1952 n ((n - 1) ) (n - 4) 384 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 15 n 4 2 15 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 84815 n ((n - 1) ) (n - 4) 31091 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 15 n 4 2 15 n 4 2 54 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 16 n 3 n 19 n 2 n 147530 n ((n - 1) ) (n - 4) 5998 n ((n - 1) ) (n - 5) - ------------------------------- - ----------------------------- 15 n 4 2 7 n 3 8 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 11159 n ((n - 1) ) (n - 5) 99013 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 2553377 n ((n - 1) ) (n - 5) 4034644 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 18 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 9368240 n ((n - 1) ) (n - 5) 15770168 n ((n - 1) ) (n - 5) + -------------------------------- - --------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 6227944 n ((n - 1) ) (n - 5) 1636512 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 767616 n ((n - 1) ) (n - 5) 161280 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 5) 23 n ((n - 1) ) (n - 5) + -------------------------- - --------------------------- 7 n 3 8 7 n 3 8 18 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 20 n 2 n 17 n n 959 n ((n - 1) ) (n - 5) 5597 n (n - 1) (n - 6) + ---------------------------- + -------------------------- 7 n 3 8 5 n 2 8 18 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 6) 16 n n 15 n n 160411 n (n - 1) (n - 6) 365411 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 6) 24 (n - 1) (n ) (n - 6) 14 n n 13 n n 5523767 n (n - 1) (n - 6) 6945391 n (n - 1) (n - 6) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 72 (n - 1) (n ) (n - 6) 24 (n - 1) (n ) (n - 6) 12 n n 11 n n 7385365 n (n - 1) (n - 6) 5217614 n (n - 1) (n - 6) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 10 n n 9 n n 24383668 n (n - 1) (n - 6) 9012314 n (n - 1) (n - 6) - ------------------------------ + ---------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 8 n n 7 n n 2237544 n (n - 1) (n - 6) 999840 n (n - 1) (n - 6) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 6 n n 26 n 4 n 201600 n (n - 1) (n - 6) n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 5 n 2 8 8 n 5 11 (n - 1) (n ) (n - 6) 216 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 19 n ((n - 1) ) (n - 3) 715 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 5 11 8 n 5 11 72 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 385 n ((n - 1) ) (n - 3) 64691 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 8 n 5 11 8 n 5 11 4 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 135289 n ((n - 1) ) (n - 3) 652630 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 5 11 8 n 5 11 24 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 635140 n ((n - 1) ) (n - 3) 3696572 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 8 n 5 11 8 n 5 11 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 501886 n ((n - 1) ) (n - 3) 345640 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 5 11 8 n 5 11 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 4 n 24 n 3 n 33600 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------- 8 n 5 11 6 n 4 11 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 10 n ((n - 1) ) (n - 4) 1601 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 6 n 4 11 6 n 4 11 9 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 4180 n ((n - 1) ) (n - 4) 85481 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 4 11 6 n 4 11 9 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 33330 n ((n - 1) ) (n - 4) 8873843 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 6 n 4 11 6 n 4 11 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 11 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 19 n 2 n 22 n 3 n 247 n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 3) + ---------------------------- + --------------------------- 10 n 3 5 9 n 4 8 6 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 337 n ((n - 1) ) (n - 3) 1135 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 9 n 4 8 9 n 4 8 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 14891 n ((n - 1) ) (n - 3) 66549 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 9 n 4 8 9 n 4 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 3 n 21 n 3 n 154943 n ((n - 1) ) (n - 3) 736 n ((n - 1) ) (n - 4) - ------------------------------- + ---------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 21701 n ((n - 1) ) (n - 4) 55611 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 9 n 4 8 9 n 4 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 1218713 n ((n - 1) ) (n - 4) 266203 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 9 n 4 8 9 n 4 8 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1489684 n ((n - 1) ) (n - 4) 642116 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 545508 n ((n - 1) ) (n - 4) 272736 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 60480 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------- 9 n 4 8 10 n 3 5 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 10 n 3 5 10 n 3 5 18 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 14653 n ((n - 1) ) (n - 2) 1516 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 816 n ((n - 1) ) (n - 2) 192 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n 13 n (n - 1) (n - 3) 337 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 24 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n n (n - 1) (n - 4) 33 n (n - 1) (n - 4) - ----------------------- + ------------------------ 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 11 n 10 n 468 n (n - 1) (n - 4) n (n - 3) 5 n (n - 3) - ------------------------- + -------------- - -------------- 2 n 2 8 n 8 n 8 (n - 1) (n ) (n - 4) 12 n (n - 3) 2 n (n - 3) 9 n 8 n 7 n 6 n 63 n (n - 3) 217 n (n - 3) 3563 n (n - 3) 4445 n (n - 3) + -------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 2 n (n - 3) n (n - 3) 4 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 9833 n (n - 3) 2598 n (n - 3) 840 n (n - 3) + ---------------- - ---------------- + --------------- n 8 n 8 n 8 3 n (n - 3) n (n - 3) n (n - 3) and in Maple notation -1/36*n^28*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^2+7/9*n^27*((n-1)^n)^5/(n -1)^19/(n^n)^6*(n-2)^n/(n-2)^2-29/3*n^26*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/( n-2)^2+421/6*n^25*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^2-3949/12*n^24*((n -1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^2+6245/6*n^23*((n-1)^n)^5/(n-1)^19/(n^n )^6*(n-2)^n/(n-2)^2-20207/9*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^2+ 29306/9*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^2-3032*n^20*((n-1)^n)^5 /(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^2+1632*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^ n/(n-2)^2-384*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^2+1/54*n^26*((n-1 )^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^2-5/9*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*( n-3)^n/(n-3)^2+202/27*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^2-179/3*n ^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^2+5633/18*n^22*((n-1)^n)^4/(n-1) ^17/(n^n)^5*(n-3)^n/(n-3)^2-3398/3*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n -3)^2+77884/27*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^2-46480/9*n^19*( (n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^2+171800/27*n^18*((n-1)^n)^4/(n-1)^17 /(n^n)^5*(n-3)^n/(n-3)^2+n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-10*n^ 12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+35*n^11*((n-1)^n)^2/(n-1)^4/(n^n )^3*(n-2)^n/(n-2)^5-50*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5+24*n^9* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-2*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3 )^n/(n-3)^5+24*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-110*n^9*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-3)^n/(n-3)^5+240*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-\ 248*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+96*n^6*(n-1)^n/(n-1)^2/(n^n)^2* (n-3)^n/(n-3)^5+64*n^12*((n-1)^n)^4/(n-1)^17/(n^n)^4-7/216*n^22*((n-1)^n)^3/(n-\ 1)^15/(n^n)^4*(n-2)^n/(n-2)^2+49/54*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/( n-2)^2-203/18*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+2947/36*n^19*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-27643/72*n^18*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-2)^n/(n-2)^2+43715/36*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2) ^2-141449/54*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2+1904*n^13*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-448*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -2)^n/(n-2)^2+102571/27*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-10612 /3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^2-1/18*n^22*((n-1)^n)^3/(n-1 )^12/(n^n)^4*(n-2)^n/(n-2)^5+14/9*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-\ 2)^5-58/3*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+421/3*n^19*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-3949/6*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*( n-2)^n/(n-2)^5+6245/3*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-40414/9 *n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+58612/9*n^15*((n-1)^n)^3/(n-\ 1)^12/(n^n)^4*(n-2)^n/(n-2)^5-6064*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n -2)^5+3264*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-768*n^12*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+136297/9*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-3)^n/(n-3)^5-81340/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+ 300650/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-26936*n^11*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+12768*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 3)^n/(n-3)^5-2688*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+7/72*n^20*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-35/12*n^19*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-3)^n/(n-3)^5+707/18*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-\ 1253/4*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+39431/24*n^16*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-11893/2*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-3)^n/(n-3)^5-13/6*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+337/9*n^ 18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-1135/3*n^17*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-3)^n/(n-3)^8+14891/6*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^ 8-22183/2*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+309886/9*n^14*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-222520/3*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-3)^n/(n-3)^8+976688/9*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-\ 307544/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+56128*n^10*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-13440*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n /(n-3)^8+1/18*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-7/72*n^18*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+49/12*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^8-5537/72*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/12*n^13*(n-1)^n/(n -1)^5/(n^n)^2*(n-2)^n/(n-2)^5+19/12*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^ 5-151/12*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/12*n^10*(n-1)^n/(n-1) ^5/(n^n)^2*(n-2)^n/(n-2)^5-406/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+ 589/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-152*n^7*(n-1)^n/(n-1)^5/(n^n) ^2*(n-2)^n/(n-2)^5+48*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+2576/3*n^15*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-151907/24*n^14*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^8+129759/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-8530991/72 *n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1863421/6*n^11*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^8-5213894/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+ 2247406/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-636426*n^8*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-4)^n/(n-4)^8+318192*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-\ 70560*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/54*n^18*(n-1)^n/(n-1)^2/(n^ n)^2*(n-4)^n/(n-4)^11+10/9*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-1601/ 54*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+4180/9*n^15*(n-1)^n/(n-1)^2/(n ^n)^2*(n-4)^n/(n-4)^11-85481/18*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+ 33330*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-8873843/54*n^12*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-4)^n/(n-4)^11+5151080/9*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n -4)^11-37651328/27*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+20808920/9*n^9 *(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-7405192/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2 *(n-4)^n/(n-4)^11+1516960*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-403200*n ^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-2090/3*n^18*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-4)^n/(n-4)^11+85481/12*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^ 11-49995*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+8873843/36*n^15*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-2575540/3*n^14*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-4)^n/(n-4)^11+18825664/9*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4) ^11-10404460/3*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+3702596*n^11*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-2275440*n^10*((n-1)^n)^2/(n-1)^4/(n ^n)^3*(n-4)^n/(n-4)^11+604800*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+ 32/9*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+15742/9*n^16*(n-1)^n/(n-1)^2 /(n^n)^2*(n-5)^n/(n-5)^11-1841/18*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11 -1/18*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-16073123/18*n^13*(n-1)^n/(n -1)^2/(n^n)^2*(n-5)^n/(n-5)^11-118921/6*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n -5)^11-105451256/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+34171648*n^8*(n -1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+470932/3*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n -5)^n/(n-5)^11-99464288/9*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+ 33200926/9*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-19413120*n^7*(n-1)^n/( n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+213032072/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^ n/(n-5)^11+4838400*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-1472*n^18*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+21701/2*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3 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n^n)*n^9*(n-5)^n/(n-5)^5+151/6/(n^n)*n^8*(n-5)^n/(n-5)^5-649/6/(n^n)*n^7*(n-5)^ n/(n-5)^5+1/6*n^18*((n-1)^n)^5/(n-1)^13/(n^n)^5-3/2*n^17*((n-1)^n)^5/(n-1)^13/( n^n)^5+13/3*n^16*((n-1)^n)^5/(n-1)^13/(n^n)^5+384*n^18*((n-1)^n)^6/(n-1)^21/(n^ n)^6+n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-12*n^13*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-3)^n/(n-3)^5+55*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-\ 120*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+124*n^10*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-3)^n/(n-3)^5-48*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-2 /3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+10*n^11*(n-1)^n/(n-1)^2/(n^n)^2 *(n-4)^n/(n-4)^5-182/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+190*n^9*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-968/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/ (n-4)^5+280*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-96*n^6*(n-1)^n/(n-1)^2/ (n^n)^2*(n-4)^n/(n-4)^5+1/18*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-\ 14/9*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2+58/3*n^23*((n-1)^n)^4/(n -1)^17/(n^n)^5*(n-2)^n/(n-2)^2-421/3*n^22*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/ (n-2)^2+3949/6*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-6245/3*n^20*(( n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2+40414/9*n^19*((n-1)^n)^4/(n-1)^17/(n ^n)^5*(n-2)^n/(n-2)^2-3264*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2+ 768*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-58612/9*n^18*((n-1)^n)^4/ (n-1)^17/(n^n)^5*(n-2)^n/(n-2)^2-1/2*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/( n-3)^5+21/2*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-189/2*n^18*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-506*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4) ^n/(n-4)^5+1925*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5-4790*n^13*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+23348/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-4)^n/(n-4)^5-7944*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+4608*n^ 10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5-1152*n^9*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-4)^n/(n-4)^5+1/3*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5-8*n^ 17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+84*n^16*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-4)^n/(n-4)^5-2/3*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5+20/3*n ^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5-70/3*n^14*((n-1)^n)^3/(n-1)^6/( n^n)^4*(n-2)^n/(n-2)^5+100/3*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5-\ 16*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5+1/36*n^21*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-4)^n/(n-4)^11-5/3*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^ 11+1601/36*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+2219/4*n^11*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-3409/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^5+3269*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-11438/3*n^8*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^5+2464*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-\ 672*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-7/12*n^14*(n-1)^n/(n-1)^5/(n^n) ^2*(n-3)^n/(n-3)^5+49/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-441/4*n^12 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1/3*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3) ^n/(n-3)^8+10*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-126*n^12*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-3)^n/(n-3)^8+868*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-\ 3563*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+8890*n^9*(n-1)^n/(n-1)^2/(n^n )^2*(n-3)^n/(n-3)^8-39332/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+10392*n ^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-3360*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 3)^n/(n-3)^8+1/2/(n^n)*n^13*(n-5)^n/(n-5)^8-37/2/(n^n)*n^12*(n-5)^n/(n-5)^8+300 /(n^n)*n^11*(n-5)^n/(n-5)^8-2805/(n^n)*n^10*(n-5)^n/(n-5)^8+33453/2/(n^n)*n^9*( n-5)^n/(n-5)^8-132741/2/(n^n)*n^8*(n-5)^n/(n-5)^8+177145/(n^n)*n^7*(n-5)^n/(n-5 )^8-313270/(n^n)*n^6*(n-5)^n/(n-5)^8+350148/(n^n)*n^5*(n-5)^n/(n-5)^8-222336/(n ^n)*n^4*(n-5)^n/(n-5)^8+60480/(n^n)*n^3*(n-5)^n/(n-5)^8-537/2*n^23*((n-1)^n)^4/ (n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5+5633/4*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3) ^n/(n-3)^5-5097*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-169630/9*n^18 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5+124364/3*n^17*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^5-590120/9*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/( n-4)^5+217976/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5-53472*n^14*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5+23424*n^13*((n-1)^n)^3/(n-1)^12/(n^n )^4*(n-4)^n/(n-4)^5-4608*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5-1/18 *n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5+11/6*n^23*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^5-247/9*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4 )^5+739/3*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5-8855/6*n^20*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5+12429/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-4)^n/(n-4)^5-25/72/(n^n)*n^17*(n-7)^n/(n-7)^11+1/216/(n^n)*n^18*(n-7)^n/(n-\ 7)^11+758317/216/(n^n)*n^14*(n-7)^n/(n-7)^11-854945/24/(n^n)*n^13*(n-7)^n/(n-7) ^11+57857525/216/(n^n)*n^12*(n-7)^n/(n-7)^11-109324655/72/(n^n)*n^11*(n-7)^n/(n -7)^11+2575/216/(n^n)*n^16*(n-7)^n/(n-7)^11-17885/72/(n^n)*n^15*(n-7)^n/(n-7)^ 11+705771319/108/(n^n)*n^10*(n-7)^n/(n-7)^11+362453452/3/(n^n)*n^6*(n-7)^n/(n-7 )^11-103627680/(n^n)*n^5*(n-7)^n/(n-7)^11+1410908800/27/(n^n)*n^8*(n-7)^n/(n-7) ^11-191930585/9/(n^n)*n^9*(n-7)^n/(n-7)^11+52968000/(n^n)*n^4*(n-7)^n/(n-7)^11-\ 94244430/(n^n)*n^7*(n-7)^n/(n-7)^11-12096000/(n^n)*n^3*(n-7)^n/(n-7)^11-48*n^18 *((n-1)^n)^6/(n-1)^18/(n^n)^6+1/72*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n -5)^5-37/72*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+313/36*n^20*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+98338/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-5)^n/(n-5)^5-262903/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+ 520622/9*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5-753602/9*n^13*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+258080/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-5)^n/(n-5)^5-59328*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+ 24576*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+1/3*n^16*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-2)^n/(n-2)^5-19/3*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-\ 2)^5+151/3*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-649/3*n^13*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1624/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 2)^n/(n-2)^5-2356/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+608*n^10*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-192*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3* (n-2)^n/(n-2)^5-2/3*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5+20/3*n^9*(n-1) ^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-70/3*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-\ 2)^5+100/3*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-2)^n/(n-2)^5-16*n^6*(n-1)^n/(n-1)^2/( n^n)^2*(n-2)^n/(n-2)^5-256*n^15*((n-1)^n)^5/(n-1)^19/(n^n)^5+1/36*n^30*((n-1)^n )^7/(n-1)^23/(n^n)^7-3/4*n^29*((n-1)^n)^7/(n-1)^23/(n^n)^7+107/12*n^28*((n-1)^n )^7/(n-1)^23/(n^n)^7-245/4*n^27*((n-1)^n)^7/(n-1)^23/(n^n)^7+1607/6*n^26*((n-1) ^n)^7/(n-1)^23/(n^n)^7-773*n^25*((n-1)^n)^7/(n-1)^23/(n^n)^7+13250/9*n^24*((n-1 )^n)^7/(n-1)^23/(n^n)^7-1784*n^23*((n-1)^n)^7/(n-1)^23/(n^n)^7+1248*n^22*((n-1) ^n)^7/(n-1)^23/(n^n)^7-56/27/(n^n)*n^15*(n-5)^n/(n-5)^11-55097/54/(n^n)*n^13*(n -5)^n/(n-5)^11+12887/216/(n^n)*n^14*(n-5)^n/(n-5)^11+7/216/(n^n)*n^16*(n-5)^n/( n-5)^11+112511861/216/(n^n)*n^10*(n-5)^n/(n-5)^11+832447/72/(n^n)*n^12*(n-5)^n/ (n-5)^11+184539698/9/(n^n)*n^6*(n-5)^n/(n-5)^11-59800384/3/(n^n)*n^5*(n-5)^n/(n -5)^11-824131/9/(n^n)*n^11*(n-5)^n/(n-5)^11+174062504/27/(n^n)*n^8*(n-5)^n/(n-5 )^11-116203241/54/(n^n)*n^9*(n-5)^n/(n-5)^11+11324320/(n^n)*n^4*(n-5)^n/(n-5)^ 11-372806126/27/(n^n)*n^7*(n-5)^n/(n-5)^11-2822400/(n^n)*n^3*(n-5)^n/(n-5)^11+1 /54*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5-1/2*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+107 /18*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5-245/6*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+ 1607/9*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^5-1546/3*n^19*((n-1)^n)^5/(n-1)^19/(n^n) ^5+26500/27*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^5-3568/3*n^17*((n-1)^n)^5/(n-1)^19/ (n^n)^5+832*n^16*((n-1)^n)^5/(n-1)^19/(n^n)^5+6064*n^17*((n-1)^n)^4/(n-1)^17/(n ^n)^5*(n-2)^n/(n-2)^2-1/36*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+5/ 6*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2-101/9*n^21*((n-1)^n)^3/(n-1 )^15/(n^n)^4*(n-3)^n/(n-3)^2+179/2*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n -3)^2-5633/12*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+1699*n^18*((n-1 )^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2-38942/9*n^17*((n-1)^n)^3/(n-1)^15/(n^n) ^4*(n-3)^n/(n-3)^2+7696*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2-3648* n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+768*n^12*((n-1)^n)^3/(n-1)^15 /(n^n)^4*(n-3)^n/(n-3)^2+23240/3*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3 )^2-85900/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^2+1/12*n^25*((n-1)^ n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-7/3*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 2)^n/(n-2)^5+29*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-421/2*n^22*(( n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+3949/4*n^21*((n-1)^n)^4/(n-1)^14/(n^ n)^5*(n-2)^n/(n-2)^5-6245/2*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+ 20207/3*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-29306/3*n^18*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+9096*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 2)^n/(n-2)^5-4896*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+1152*n^15*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-77884/3*n^17*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-3)^n/(n-3)^5+46480*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-\ 171800/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+1/18*n^26*((n-1)^n)^ 4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-13/6*n^25*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3) ^n/(n-3)^8+337/9*n^24*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-1135/3*n^23* ((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8+14891/6*n^22*((n-1)^n)^4/(n-1)^11/ (n^n)^5*(n-3)^n/(n-3)^8-22183/2*n^21*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3) ^8+309886/9*n^20*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-222520/3*n^19*((n -1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8+976688/9*n^18*((n-1)^n)^4/(n-1)^11/(n ^n)^5*(n-3)^n/(n-3)^8-307544/3*n^17*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^ 8+56128*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-13440*n^15*((n-1)^n)^ 4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-1/12*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^ n/(n-4)^8+7/2*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8-791/12*n^22*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+3738*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4) ^n/(n-4)^8-18501*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+58737*n^10*(n-1)^ n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-119342*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n -4)^8+149172*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-103608*n^7*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-4)^n/(n-4)^8+30240*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+ 1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2)^n/(n-2)^ 5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3-384*n^21 *((n-1)^n)^7/(n-1)^23/(n^n)^7-1/72*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8 +17/24*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8-1189/72*n^18*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-6)^n/(n-6)^8+5151080/9*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n -4)^11-37651328/27*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+20808920/9 *n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-7405192/3*n^14*((n-1)^n)^3/( n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+1516960*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^ n/(n-4)^11-403200*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-16/9*n^21*( 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43169/4/(n^n)*n^8*(n-4)^n/(n-4)^8-137053/4/(n^n)*n^7*(n-4)^n/(n-4)^8+417697/6/( n^n)*n^6*(n-4)^n/(n-4)^8-87017/(n^n)*n^5*(n-4)^n/(n-4)^8+60438/(n^n)*n^4*(n-4)^ n/(n-4)^8-17640/(n^n)*n^3*(n-4)^n/(n-4)^8+7/6/(n^n)*n^8*(n-3)^n/(n-3)^5-14/(n^n )*n^7*(n-3)^n/(n-3)^5+385/6/(n^n)*n^6*(n-3)^n/(n-3)^5-140/(n^n)*n^5*(n-3)^n/(n-\ 3)^5+434/3/(n^n)*n^4*(n-3)^n/(n-3)^5-56/(n^n)*n^3*(n-3)^n/(n-3)^5+1135/12*n^14* (n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14891/24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^8+22183/8*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-154943/18*n ^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+55630/3*n^10*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-3)^n/(n-3)^8-244172/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+76886/3* n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14032*n^7*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^8+3360*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/72*n^17*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/18*n^28*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2) ^n/(n-2)^5+14/9*n^27*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5-58/3*n^26*((n -1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+421/3*n^25*((n-1)^n)^5/(n-1)^16/(n^n) ^6*(n-2)^n/(n-2)^5-3949/6*n^24*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+ 6245/3*n^23*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5-40414/9*n^22*((n-1)^n) ^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+58612/9*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^6*( n-2)^n/(n-2)^5-6064*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+3264*n^19 *((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5-768*n^18*((n-1)^n)^5/(n-1)^16/(n^ n)^6*(n-2)^n/(n-2)^5+38942/3*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-\ 23240*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5+85900/3*n^18*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-23088*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3 )^n/(n-3)^5+10944*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-2304*n^15*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5+1/12*n^26*((n-1)^n)^4/(n-1)^14/(n^n )^5*(n-3)^n/(n-3)^5-5/2*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5+101/3 *n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5+1/36/(n^n)*n^17*(n-6)^n/(n-6 )^11+2161/36/(n^n)*n^15*(n-6)^n/(n-6)^11+514183/36/(n^n)*n^13*(n-6)^n/(n-6)^11-\ 4521/4/(n^n)*n^14*(n-6)^n/(n-6)^11-23/12/(n^n)*n^16*(n-6)^n/(n-6)^11-48922489/ 12/(n^n)*n^10*(n-6)^n/(n-6)^11-1536469/12/(n^n)*n^12*(n-6)^n/(n-6)^11-314885612 /3/(n^n)*n^6*(n-6)^n/(n-6)^11+95135680/(n^n)*n^5*(n-6)^n/(n-6)^11+30201083/36/( n^n)*n^11*(n-6)^n/(n-6)^11-39464084/(n^n)*n^8*(n-6)^n/(n-6)^11+132734459/9/(n^n )*n^9*(n-6)^n/(n-6)^11-50952000/(n^n)*n^4*(n-6)^n/(n-6)^11+690757064/9/(n^n)*n^ 7*(n-6)^n/(n-6)^11+12096000/(n^n)*n^3*(n-6)^n/(n-6)^11+1/(n^n)*n^9*(n-4)^n/(n-4 )^5-15/(n^n)*n^8*(n-4)^n/(n-4)^5+91/(n^n)*n^7*(n-4)^n/(n-4)^5-285/(n^n)*n^6*(n-\ 4)^n/(n-4)^5+484/(n^n)*n^5*(n-4)^n/(n-4)^5-420/(n^n)*n^4*(n-4)^n/(n-4)^5+144/(n ^n)*n^3*(n-4)^n/(n-4)^5-4*n^15*((n-1)^n)^5/(n-1)^13/(n^n)^5-1/12*n^24*((n-1)^n) ^6/(n-1)^18/(n^n)^6+3/2*n^23*((n-1)^n)^6/(n-1)^18/(n^n)^6-133/12*n^22*((n-1)^n) ^6/(n-1)^18/(n^n)^6+43*n^21*((n-1)^n)^6/(n-1)^18/(n^n)^6-277/3*n^20*((n-1)^n)^6 /(n-1)^18/(n^n)^6+104*n^19*((n-1)^n)^6/(n-1)^18/(n^n)^6+1/12/(n^n)*n^14*(n-6)^n /(n-6)^8-7/2/(n^n)*n^13*(n-6)^n/(n-6)^8+785/12/(n^n)*n^12*(n-6)^n/(n-6)^8-1435/ 2/(n^n)*n^11*(n-6)^n/(n-6)^8+20501/4/(n^n)*n^10*(n-6)^n/(n-6)^8-50001/2/(n^n)*n ^9*(n-6)^n/(n-6)^8+1017995/12/(n^n)*n^8*(n-6)^n/(n-6)^8-399665/2/(n^n)*n^7*(n-6 )^n/(n-6)^8+958249/3/(n^n)*n^6*(n-6)^n/(n-6)^8-328846/(n^n)*n^5*(n-6)^n/(n-6)^8 +195360/(n^n)*n^4*(n-6)^n/(n-6)^8-50400/(n^n)*n^3*(n-6)^n/(n-6)^8+111260*n^16*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-488344/3*n^15*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-3)^n/(n-3)^8+153772*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-\ 84192*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+20160*n^12*((n-1)^n)^3/( n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-1/12*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n 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-4)^8+59671*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-74586*n^11*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8+51804*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 4)^n/(n-4)^8-15120*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^8-1/3*n^16*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^8+37/3*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/ (n-5)^8+1/3*n^22*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5-19/3*n^21*((n-1)^ n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5+151/3*n^20*((n-1)^n)^4/(n-1)^11/(n^n)^5*( n-2)^n/(n-2)^5-649/3*n^19*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5+1624/3*n ^18*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5-2356/3*n^17*((n-1)^n)^4/(n-1)^ 11/(n^n)^5*(n-2)^n/(n-2)^5+608*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^ 5-192*n^15*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-2)^n/(n-2)^5+951/2*n^17*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-1461*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/( n-3)^5+2802*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-3268*n^14*((n-1)^n )^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5+2112*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3) ^n/(n-3)^5-576*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-1/36*n^27*((n-1 )^n)^6/(n-1)^21/(n^n)^6+3/4*n^26*((n-1)^n)^6/(n-1)^21/(n^n)^6-107/12*n^25*((n-1 )^n)^6/(n-1)^21/(n^n)^6+245/4*n^24*((n-1)^n)^6/(n-1)^21/(n^n)^6-1607/6*n^23*((n -1)^n)^6/(n-1)^21/(n^n)^6+773*n^22*((n-1)^n)^6/(n-1)^21/(n^n)^6-13250/9*n^21*(( n-1)^n)^6/(n-1)^21/(n^n)^6+1784*n^20*((n-1)^n)^6/(n-1)^21/(n^n)^6-1248*n^19*((n -1)^n)^6/(n-1)^21/(n^n)^6-4608*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5 -3205/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+14767/24*n^18*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5-72707/24*n^17*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-5)^n/(n-5)^5+935/12*n^25*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8-\ 3717/8*n^24*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8+14749/8*n^23*((n-1)^n) ^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8-177145/36*n^22*((n-1)^n)^5/(n-1)^13/(n^n)^6 *(n-2)^n/(n-2)^8+156635/18*n^21*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8-\ 29179/3*n^20*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8+6176*n^19*((n-1)^n)^5 /(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8-1680*n^18*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^ n/(n-2)^8-1/72*n^28*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8+37/72*n^27*((n -1)^n)^5/(n-1)^13/(n^n)^6*(n-2)^n/(n-2)^8-25/3*n^26*((n-1)^n)^5/(n-1)^13/(n^n)^ 6*(n-2)^n/(n-2)^8-1/54*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-2161/54*n^ 18*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-514183/54*n^16*(n-1)^n/(n-1)^2/(n^n )^2*(n-6)^n/(n-6)^11+1507/2*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11+23/18 *n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11+48922489/18*n^13*(n-1)^n/(n-1)^2 /(n^n)^2*(n-6)^n/(n-6)^11+1536469/18*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6) ^11+629771224/9*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-190271360/3*n^8*(n -1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-30201083/54*n^14*(n-1)^n/(n-1)^2/(n^n)^2 *(n-6)^n/(n-6)^11+78928168/3*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-\ 265468918/27*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11+33968000*n^7*(n-1)^n /(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-1381514128/27*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n -6)^n/(n-6)^11-8064000*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-15392/3*n^ 17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^2+2432*n^16*((n-1)^n)^4/(n-1)^17/ (n^n)^5*(n-3)^n/(n-3)^2-512*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^2-1 /216*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2+11/72*n^23*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2-247/108*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4) ^n/(n-4)^2+739/36*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2-8855/72*n^ 20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2+4143/8*n^19*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-4)^n/(n-4)^2+54494/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n -4)^2-4456*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2+1952*n^13*((n-1)^n )^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2-384*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4 )^n/(n-4)^2-84815/54*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2+31091/9* n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^2-147530/27*n^16*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-4)^n/(n-4)^2-5998/9*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/ (n-5)^8+11159/2*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8-99013/3*n^17*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+2553377/18*n^16*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-5)^n/(n-5)^8-4034644/9*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5 )^8+9368240/9*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8-15770168/9*n^13* ((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+6227944/3*n^12*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-5)^n/(n-5)^8-1636512*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^ 8+767616*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8-161280*n^9*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+1/18*n^22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n /(n-5)^8-23/9*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+959/18*n^20*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+5597/24*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n -6)^n/(n-6)^8-160411/72*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8+365411/24* n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8-5523767/72*n^14*(n-1)^n/(n-1)^5/(n ^n)^2*(n-6)^n/(n-6)^8+6945391/24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8-\ 7385365/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8+5217614/3*n^11*(n-1)^n/( n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8-24383668/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/ (n-6)^8+9012314/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8-2237544*n^8*(n-1) ^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8+999840*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/( n-6)^8-201600*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8+1/216*n^26*((n-1)^n)^ 4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11-19/72*n^25*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3) ^n/(n-3)^11+715/108*n^24*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11-385/4*n^ 23*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11+64691/72*n^22*((n-1)^n)^4/(n-1) ^8/(n^n)^5*(n-3)^n/(n-3)^11-135289/24*n^21*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/ (n-3)^11+652630/27*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11-635140/9*n ^19*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11+3696572/27*n^18*((n-1)^n)^4/(n -1)^8/(n^n)^5*(n-3)^n/(n-3)^11-501886/3*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^ n/(n-3)^11+345640/3*n^16*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11-33600*n^ 15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11-1/54*n^24*((n-1)^n)^3/(n-1)^6/( n^n)^4*(n-4)^n/(n-4)^11+10/9*n^23*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-\ 1601/54*n^22*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+4180/9*n^21*((n-1)^n) ^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-85481/18*n^20*((n-1)^n)^3/(n-1)^6/(n^n)^4*( n-4)^n/(n-4)^11+33330*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-8873843 /54*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+1/12*n^21*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-4)^n/(n-4)^5-11/4*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n -4)^5+247/6*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+13/4*n^22*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-337/6*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 3)^n/(n-3)^8+1135/2*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-14891/4*n^ 19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+66549/4*n^18*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-3)^n/(n-3)^8-154943/3*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3 )^8+736*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8-21701/4*n^20*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+55611/2*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 4)^n/(n-4)^8-1218713/12*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+266203 *n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8-1489684/3*n^16*((n-1)^n)^3/(n -1)^9/(n^n)^4*(n-4)^n/(n-4)^8+642116*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/( n-4)^8-545508*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+272736*n^13*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8-60480*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4* (n-4)^n/(n-4)^8+1/72*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-7/18*n^ 18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+29/6*n^17*((n-1)^n)^2/(n-1)^10/ (n^n)^3*(n-2)^n/(n-2)^5-421/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^ 5+3949/24*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-6245/12*n^14*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+20207/18*n^13*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-2)^n/(n-2)^5-14653/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+ 1516*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-816*n^10*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-2)^n/(n-2)^5+192*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2 )^5+13/24*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-337/36*n^15*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^8-n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+33*n^ 14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-468*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 4)^n/(n-4)^8+1/12/(n^n)*n^11*(n-3)^n/(n-3)^8-5/2/(n^n)*n^10*(n-3)^n/(n-3)^8+63/ 2/(n^n)*n^9*(n-3)^n/(n-3)^8-217/(n^n)*n^8*(n-3)^n/(n-3)^8+3563/4/(n^n)*n^7*(n-3 )^n/(n-3)^8-4445/2/(n^n)*n^6*(n-3)^n/(n-3)^8+9833/3/(n^n)*n^5*(n-3)^n/(n-3)^8-\ 2598/(n^n)*n^4*(n-3)^n/(n-3)^8+840/(n^n)*n^3*(n-3)^n/(n-3)^8 The, 4, 4, mixed moment of, X[1], and , X[4], is 34 n 6 n 33 n 6 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) ---------------------------- - ---------------------------- 24 n 7 2 24 n 7 2 216 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 32 n 6 n 31 n 6 n 313 n ((n - 1) ) (n - 2) 3205 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 24 n 7 2 24 n 7 2 108 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 30 n 6 n 29 n 6 n 14767 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 24 n 7 2 24 n 7 2 72 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 28 n 6 n 27 n 6 n 98338 n ((n - 1) ) (n - 2) 262903 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 24 n 7 2 24 n 7 2 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 26 n 6 n 25 n 6 n 520622 n ((n - 1) ) (n - 2) 753602 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 24 n 7 2 24 n 7 2 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 24 n 6 n 23 n 6 n 258080 n ((n - 1) ) (n - 2) 19776 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 24 n 7 2 24 n 7 2 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 6 n 21 n 6 n 8192 n ((n - 1) ) (n - 2) 1536 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 24 n 7 2 24 n 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 22 n 6 2 22 n 6 2 324 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 30 n 5 n 29 n 5 n 175 n ((n - 1) ) (n - 3) 1277 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 22 n 6 2 22 n 6 2 81 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n 57121 n ((n - 1) ) (n - 3) 102241 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 22 n 6 2 22 n 6 2 324 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 26 n 5 n 25 n 5 n 611473 n ((n - 1) ) (n - 3) 306386 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 22 n 6 2 22 n 6 2 162 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 24 n 5 n 23 n 5 n 2092856 n ((n - 1) ) (n - 3) 1196564 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 22 n 6 2 22 n 6 2 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 4562888 n ((n - 1) ) (n - 3) 1388288 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 22 n 6 2 22 n 6 2 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 95488 n ((n - 1) ) (n - 3) 35840 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 22 n 6 2 22 n 6 2 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 5 n 27 n 4 n 2048 n ((n - 1) ) (n - 3) 1627 n ((n - 1) ) (n - 4) - ----------------------------- - ----------------------------- 22 n 6 2 20 n 5 2 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 80107 n ((n - 1) ) (n - 4) 79681 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 20 n 5 2 20 n 5 2 1296 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 2143115 n ((n - 1) ) (n - 4) 1224245 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 20 n 5 2 20 n 5 2 1296 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 22 n 4 n 18 n 4 n 2425165 n ((n - 1) ) (n - 4) 418688 n ((n - 1) ) (n - 4) + -------------------------------- + ------------------------------- 20 n 5 2 20 n 5 2 162 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 80576 n ((n - 1) ) (n - 4) 9472 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 20 n 5 2 20 n 5 2 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 21 n 4 n 1536 n ((n - 1) ) (n - 4) 822355 n ((n - 1) ) (n - 4) - ----------------------------- - ------------------------------- 20 n 5 2 20 n 5 2 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 3832991 n ((n - 1) ) (n - 4) 1487794 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 20 n 5 2 20 n 5 2 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 4) 7 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 20 n 5 2 20 n 5 2 1296 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 28 n 4 n 32 n 6 n 817 n ((n - 1) ) (n - 4) 626 n ((n - 1) ) (n - 2) + ----------------------------- + ---------------------------- 20 n 5 2 21 n 7 5 1296 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 2) 31 n 6 n 30 n 6 n 6410 n ((n - 1) ) (n - 2) 14767 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 21 n 7 5 21 n 7 5 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 29 n 6 n 34 n 6 n 72707 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------- 21 n 7 5 21 n 7 5 27 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 33 n 6 n 28 n 6 n 37 n ((n - 1) ) (n - 2) 786704 n ((n - 1) ) (n - 2) - --------------------------- + ------------------------------- 21 n 7 5 21 n 7 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 24 n 6 n 23 n 6 n 2064640 n ((n - 1) ) (n - 2) 52736 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------ 21 n 7 5 21 n 7 5 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 6 n 27 n 6 n 4164976 n ((n - 1) ) (n - 2) 2103224 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 21 n 7 5 21 n 7 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 22 n 6 n 25 n 6 n 65536 n ((n - 1) ) (n - 2) 6028816 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 21 n 7 5 21 n 7 5 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 21 n 6 n 23 n 5 n 4096 n ((n - 1) ) (n - 2) 2393128 n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------------- 21 n 7 5 19 n 6 5 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n n ((n - 1) ) (n - 2) 10 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 35 n ((n - 1) ) (n - 2) 50 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 22 n 5 n 24 n ((n - 1) ) (n - 2) 9125776 n ((n - 1) ) (n - 3) + -------------------------- - -------------------------------- 4 n 3 5 19 n 6 5 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 3) 21 n 5 n 20 n 5 n 2776576 n ((n - 1) ) (n - 3) 190976 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 19 n 6 5 19 n 6 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 71680 n ((n - 1) ) (n - 3) 12288 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 19 n 6 5 19 n 6 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 2 n (n - 1) (n - 3) 24 n (n - 1) (n - 3) - ----------------------- + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 110 n (n - 1) (n - 3) 240 n (n - 1) (n - 3) - ------------------------ + ------------------------ 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 248 n (n - 1) (n - 3) 96 n (n - 1) (n - 3) - ------------------------ + ----------------------- 2 n 2 5 2 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 32 n 5 n 31 n 5 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 19 n 6 5 19 n 6 5 54 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 30 n 5 n 29 n 5 n 350 n ((n - 1) ) (n - 3) 1277 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 19 n 6 5 19 n 6 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n 57121 n ((n - 1) ) (n - 3) 102241 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 19 n 6 5 19 n 6 5 54 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 26 n 5 n 25 n 5 n 611473 n ((n - 1) ) (n - 3) 612772 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 19 n 6 5 19 n 6 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 24 n 5 n 22 n 3 n 4185712 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - -------------------------------- - -------------------------- 19 n 6 5 12 n 4 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 28 n ((n - 1) ) (n - 2) 116 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 842 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 12490 n ((n - 1) ) (n - 2) 80828 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 117224 n ((n - 1) ) (n - 2) 12128 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 6528 n ((n - 1) ) (n - 2) 1536 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 272594 n ((n - 1) ) (n - 3) 162680 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 601300 n ((n - 1) ) (n - 3) 53872 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 25536 n ((n - 1) ) (n - 3) 5376 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 7 n ((n - 1) ) (n - 3) 35 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 5 10 n 3 5 36 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 707 n ((n - 1) ) (n - 3) 1253 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 39431 n ((n - 1) ) (n - 3) 11893 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 26 n ((n - 1) ) (n - 3) 1348 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 4540 n ((n - 1) ) (n - 3) 29782 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 44366 n ((n - 1) ) (n - 3) 1239544 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 890080 n ((n - 1) ) (n - 3) 3906752 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1230176 n ((n - 1) ) (n - 3) 224512 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 53760 n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n n 17 n n 7 n (n - 1) (n - 4) 49 n (n - 1) (n - 4) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n n 13 n n 5537 n (n - 1) (n - 4) n (n - 1) (n - 2) - -------------------------- - ------------------------- 5 n 2 8 5 n 2 5 18 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 2) 12 n n 11 n n 19 n (n - 1) (n - 2) 151 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n n 9 n n 649 n (n - 1) (n - 2) 1624 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 2356 n (n - 1) (n - 2) 608 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 15 n n 64 n (n - 1) (n - 2) 10304 n (n - 1) (n - 4) + ----------------------- + --------------------------- 5 n 2 5 5 n 2 8 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 151907 n (n - 1) (n - 4) 129759 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 8530991 n (n - 1) (n - 4) 3726842 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 10 n n 9 n n 20855576 n (n - 1) (n - 4) 8989624 n (n - 1) (n - 4) - ------------------------------ + ---------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 2545704 n (n - 1) (n - 4) 1272768 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 18 n n 282240 n (n - 1) (n - 4) n (n - 1) (n - 4) - --------------------------- - -------------------------- 5 n 2 8 2 n 2 11 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n n 16 n n 20 n (n - 1) (n - 4) 1601 n (n - 1) (n - 4) + -------------------------- - -------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n n 14 n n 8360 n (n - 1) (n - 4) 85481 n (n - 1) (n - 4) + -------------------------- - --------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n n 12 n n 199980 n (n - 1) (n - 4) 8873843 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 11 n n 10 n n 10302160 n (n - 1) (n - 4) 75302656 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 9 n n 8 n n 41617840 n (n - 1) (n - 4) 14810384 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 9101760 n (n - 1) (n - 4) 2419200 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 4180 n ((n - 1) ) (n - 4) 85481 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 299970 n ((n - 1) ) (n - 4) 8873843 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 5151080 n ((n - 1) ) (n - 4) 37651328 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 20808920 n ((n - 1) ) (n - 4) 22215576 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 13652640 n ((n - 1) ) (n - 4) 3628800 n ((n - 1) ) (n - 4) - --------------------------------- + ------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 18 n n 443783 n (n - 1) (n - 7) 37028008 n (n - 1) (n - 7) + ---------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 7) 81 (n - 1) (n ) (n - 7) 13 n n 9 n n 7655109412 n (n - 1) (n - 7) 12165510592 n (n - 1) (n - 7) + -------------------------------- + -------------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 7) 3 (n - 1) (n ) (n - 7) 8 n n 11 n n 2648730880 n (n - 1) (n - 7) 88118718688 n (n - 1) (n - 7) - ------------------------------- + --------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 7) 27 (n - 1) (n ) (n - 7) 12 n n 18 n n 153332216956 n (n - 1) (n - 7) 64 n (n - 1) (n - 5) - ---------------------------------- + -------------------------- 5 n 2 11 2 n 2 11 81 (n - 1) (n ) (n - 7) 3 (n - 1) (n ) (n - 5) 16 n n 17 n n 31484 n (n - 1) (n - 5) 1841 n (n - 1) (n - 5) + --------------------------- - -------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 19 n n 13 n n n (n - 1) (n - 5) 16073123 n (n - 1) (n - 5) - -------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n n 9 n n 118921 n (n - 1) (n - 5) 210902512 n (n - 1) (n - 5) - ---------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 14 n n 205029888 n (n - 1) (n - 5) 941864 n (n - 1) (n - 5) + ------------------------------ + ---------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 198928576 n (n - 1) (n - 5) 66401852 n (n - 1) (n - 5) - ------------------------------- + ------------------------------ 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 116478720 n (n - 1) (n - 5) 426064144 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 6 n n 7 n n 29030400 n (n - 1) (n - 5) 1057152000 n (n - 1) (n - 7) + ----------------------------- + ------------------------------- 2 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 7) 10 n n 6 n n 38332480144 n (n - 1) (n - 7) 193536000 n (n - 1) (n - 7) - --------------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 18 n 2 n 17 n 2 n 5888 n ((n - 1) ) (n - 4) 43402 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 222444 n ((n - 1) ) (n - 4) 2437426 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 2129624 n ((n - 1) ) (n - 4) 11917472 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 5136928 n ((n - 1) ) (n - 4) 4364064 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 2181888 n ((n - 1) ) (n - 4) 483840 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 18 n n n (n - 1) (n - 5) 46 n (n - 1) (n - 5) - ------------------------- + ------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 17 n n 16 n n 959 n (n - 1) (n - 5) 11996 n (n - 1) (n - 5) - ------------------------- + --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n n 14 n n 33477 n (n - 1) (n - 5) 198026 n (n - 1) (n - 5) - --------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 2553377 n (n - 1) (n - 5) 8069288 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 11 n n 10 n n 18736480 n (n - 1) (n - 5) 31540336 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 12455888 n (n - 1) (n - 5) 9819072 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 4605696 n (n - 1) (n - 5) 967680 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 29 n 4 n 28 n 4 n n ((n - 1) ) (n - 3) 4 n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 1051 n ((n - 1) ) (n - 3) 773 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 124423 n ((n - 1) ) (n - 3) 66245 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 9700660 n ((n - 1) ) (n - 4) 525806 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 2) 17 n 3 n 26 n 3 n 1041244 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 3) - -------------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 91 n ((n - 1) ) (n - 3) 1225 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 8939 n ((n - 1) ) (n - 3) 399847 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------- 15 n 4 5 15 n 4 5 54 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 715687 n ((n - 1) ) (n - 3) 4280311 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 2144702 n ((n - 1) ) (n - 3) 14649992 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 15 n 4 5 15 n 4 5 324 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 313 n ((n - 1) ) (n - 2) 3205 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 15 n 4 5 15 n 4 5 162 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 14767 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 19 n 3 n 24 n 2 n 196676 n ((n - 1) ) (n - 2) 31 n ((n - 1) ) (n - 6) - ------------------------------- + --------------------------- 15 n 4 5 10 n 3 8 81 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 6) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 6) 5 n ((n - 1) ) (n - 6) + ---------------------------- - --------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 23 n 2 n 14 n 3 n 4807 n ((n - 1) ) (n - 6) 92352 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 10 n 3 8 12 n 4 5 36 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 43776 n ((n - 1) ) (n - 3) 9216 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n n ((n - 1) ) (n - 3) 10 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 404 n ((n - 1) ) (n - 3) 1074 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 5633 n ((n - 1) ) (n - 3) 20388 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 169630 n ((n - 1) ) (n - 4) 124364 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 590120 n ((n - 1) ) (n - 4) 217976 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 160416 n ((n - 1) ) (n - 4) 70272 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 18 n 2 n 13824 n ((n - 1) ) (n - 4) 739 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 8855 n ((n - 1) ) (n - 4) 37287 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 22 n 2 n 16 n 2 n 312742 n ((n - 1) ) (n - 6) 10958731472 n ((n - 1) ) (n - 6) + ------------------------------- + ------------------------------------ 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 18 n 2 n 12 n 2 n 305299885 n ((n - 1) ) (n - 6) 7284368768 n ((n - 1) ) (n - 6) + ---------------------------------- + ----------------------------------- 7 n 3 11 7 n 3 11 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 11 n 2 n 4955829760 n ((n - 1) ) (n - 6) - ----------------------------------- 7 n 3 11 3 (n - 1) (n ) (n - 6) 17 n 2 n 1193325298 n ((n - 1) ) (n - 6) - ----------------------------------- 7 n 3 11 9 (n - 1) (n ) (n - 6) 14 n 2 n 143368233808 n ((n - 1) ) (n - 6) + ------------------------------------- 7 n 3 11 81 (n - 1) (n ) (n - 6) 15 n 2 n 10 n 2 n 2900991568 n ((n - 1) ) (n - 6) 683264000 n ((n - 1) ) (n - 6) - ----------------------------------- + ---------------------------------- 7 n 3 11 7 n 3 11 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n 2 n 9 n 2 n 65738407136 n ((n - 1) ) (n - 6) 129024000 n ((n - 1) ) (n - 6) - ------------------------------------ - --------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 6) 26 n ((n - 1) ) (n - 6) + --------------------------- - --------------------------- 7 n 3 11 7 n 3 11 81 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 24 n 2 n 13 n n 104 n ((n - 1) ) (n - 6) 842 n (n - 1) (n - 5) + ---------------------------- + ------------------------- 7 n 3 11 5 n 2 5 3 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 5) 12 n n 11 n n 3949 n (n - 1) (n - 5) 12490 n (n - 1) (n - 5) - -------------------------- + --------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 10 n n 9 n n 80828 n (n - 1) (n - 5) 117224 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 8 n n 7 n n 12128 n (n - 1) (n - 5) 6528 n (n - 1) (n - 5) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 1536 n (n - 1) (n - 5) n (n - 1) (n - 5) - ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 15 n n 14 n n 28 n (n - 1) (n - 5) 116 n (n - 1) (n - 5) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 22 n 4 n 21 n 4 n 7 n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 5 8 8 n 5 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 1127 n ((n - 1) ) (n - 2) 3430 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 5 8 8 n 5 8 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 47383 n ((n - 1) ) (n - 2) 22981 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 5 8 8 n 5 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 2541 n ((n - 1) ) (n - 2) 980 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 8 n 5 8 8 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 7 n ((n - 1) ) (n - 3) 70 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 6 n 4 8 6 n 4 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 294 n ((n - 1) ) (n - 3) 6076 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 6 n 4 8 6 n 4 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 24941 n ((n - 1) ) (n - 3) 62230 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 4 8 6 n 4 8 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 275324 n ((n - 1) ) (n - 3) 24248 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 6 n 4 8 6 n 4 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 17 n 2 n 7840 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 6 n 4 8 4 n 3 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 35 n ((n - 1) ) (n - 3) 441 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 3038 n ((n - 1) ) (n - 3) 24941 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 31115 n ((n - 1) ) (n - 3) 137662 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 36372 n ((n - 1) ) (n - 3) 11760 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 1012 n (n - 1) (n - 4) 3850 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 9580 n (n - 1) (n - 4) 46696 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 15888 n (n - 1) (n - 4) 9216 n (n - 1) (n - 4) + -------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 15 n n 2304 n (n - 1) (n - 4) 2 n (n - 1) (n - 4) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 16 n (n - 1) (n - 4) 168 n (n - 1) (n - 4) + ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 2 n ((n - 1) ) (n - 2) 38 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 302 n ((n - 1) ) (n - 2) 1298 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 3248 n ((n - 1) ) (n - 2) 4712 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1216 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1268 n ((n - 1) ) (n - 3) 3896 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 7472 n ((n - 1) ) (n - 3) 26144 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 5632 n ((n - 1) ) (n - 3) 1536 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 4 n ((n - 1) ) (n - 3) 28 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 6 n 5 n 252 n ((n - 1) ) (n - 3) 812 n (n - 5) 1178 n (n - 5) + ---------------------------- + --------------- - ---------------- 7 n 3 5 n 5 n 5 (n - 1) (n ) (n - 3) 3 n (n - 5) 3 n (n - 5) 4 n 3 n 15 n 14 n 304 n (n - 5) 96 n (n - 5) n (n - 4) 5 n (n - 4) + --------------- - -------------- + --------------- - -------------- n 5 n 5 n 11 n 11 n (n - 5) n (n - 5) 36 n (n - 4) 3 n (n - 4) 13 n 12 n 11 n 1601 n (n - 4) 2090 n (n - 4) 85481 n (n - 4) + ----------------- - ----------------- + ------------------ n 11 n 11 n 11 36 n (n - 4) 3 n (n - 4) 12 n (n - 4) 10 n 9 n 8 n 49995 n (n - 4) 8873843 n (n - 4) 2575540 n (n - 4) - ------------------ + ------------------- - ------------------- n 11 n 11 n 11 n (n - 4) 36 n (n - 4) 3 n (n - 4) 7 n 6 n 5 n 18825664 n (n - 4) 10404460 n (n - 4) 3702596 n (n - 4) + -------------------- - -------------------- + ------------------- n 11 n 11 n 11 9 n (n - 4) 3 n (n - 4) n (n - 4) 4 n 3 n 10 n 2275440 n (n - 4) 604800 n (n - 4) n (n - 5) - ------------------- + ------------------ + ------------- n 11 n 11 n 5 n (n - 4) n (n - 4) 6 n (n - 5) 9 n 8 n 7 n 18 n 5 19 n (n - 5) 151 n (n - 5) 649 n (n - 5) n ((n - 1) ) - -------------- + --------------- - --------------- + ----------------- n 5 n 5 n 5 13 n 5 6 n (n - 5) 6 n (n - 5) 6 n (n - 5) 6 (n - 1) (n ) 17 n 5 16 n 5 24 n 8 3 n ((n - 1) ) 13 n ((n - 1) ) 1792 n ((n - 1) ) - ----------------- + ------------------ - -------------------- 13 n 5 13 n 5 28 n 8 2 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 19 n 17 n 18 n 12241 n (n - 8) 7503073 n (n - 8) 865199 n (n - 8) - ------------------ - -------------------- + ------------------- n 14 n 14 n 14 72 n (n - 8) 108 n (n - 8) 216 n (n - 8) 21 n 20 n 14 n 59 n (n - 8) 2161 n (n - 8) 33519369559 n (n - 8) - ---------------- + ----------------- + ------------------------ n 14 n 14 n 14 648 n (n - 8) 432 n (n - 8) 432 n (n - 8) 13 n 12 n 36420830303 n (n - 8) 1140242874173 n (n - 8) - ------------------------ + -------------------------- n 14 n 14 72 n (n - 8) 432 n (n - 8) 11 n 16 n 2378715024439 n (n - 8) 595765883 n (n - 8) - -------------------------- + ---------------------- n 14 n 14 216 n (n - 8) 648 n (n - 8) 15 n 22 n 10 n 3076203169 n (n - 8) n (n - 8) 2960492111035 n (n - 8) - ----------------------- + ----------------- + -------------------------- n 14 n 14 n 14 324 n (n - 8) 1296 n (n - 8) 81 n (n - 8) 6 n 5 n 989215351624 n (n - 8) 250622467360 n (n - 8) + ------------------------ - ------------------------ n 14 n 14 3 n (n - 8) n (n - 8) 8 n 9 n 5223528283609 n (n - 8) 7737635439187 n (n - 8) + ------------------------- - ------------------------- n 14 n 14 27 n (n - 8) 81 n (n - 8) 4 n 7 n 115583664000 n (n - 8) 2665443372058 n (n - 8) + ------------------------ - ------------------------- n 14 n 14 n (n - 8) 9 n (n - 8) 3 n 11 n n 24216192000 n (n - 8) 2425383199012 n (n - 1) (n - 7) - ----------------------- + ----------------------------------- n 14 2 n 2 14 n (n - 8) 27 (n - 1) (n ) (n - 7) 12 n n 7 n n 3382056022816 n (n - 1) (n - 7) 64070976000 n (n - 1) (n - 7) - ----------------------------------- + -------------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 10 n n 6 n n 1305476913784 n (n - 1) (n - 7) 13837824000 n (n - 1) (n - 7) - ----------------------------------- - -------------------------------- 2 n 2 14 2 n 2 14 9 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 22 n n 20 n n 317 n (n - 1) (n - 7) 654737 n (n - 1) (n - 7) - --------------------------- - ---------------------------- 2 n 2 14 2 n 2 14 18 (n - 1) (n ) (n - 7) 54 (n - 1) (n ) (n - 7) 21 n n 24 n n 5011 n (n - 1) (n - 7) n (n - 1) (n - 7) + -------------------------- - ---------------------------- 2 n 2 14 2 n 2 14 9 (n - 1) (n ) (n - 7) 324 (n - 1) (n ) (n - 7) 23 n n 17 n n 37 n (n - 1) (n - 7) 585704041 n (n - 1) (n - 7) + ---------------------------- + ------------------------------- 2 n 2 14 2 n 2 14 108 (n - 1) (n ) (n - 7) 27 (n - 1) (n ) (n - 7) 16 n n 15 n n 5706552137 n (n - 1) (n - 7) 32895795647 n (n - 1) (n - 7) - -------------------------------- + --------------------------------- 2 n 2 14 2 n 2 14 36 (n - 1) (n ) (n - 7) 36 (n - 1) (n ) (n - 7) 14 n n 19 n n 224715582793 n (n - 1) (n - 7) 3474329 n (n - 1) (n - 7) - ---------------------------------- + ----------------------------- 2 n 2 14 2 n 2 14 54 (n - 1) (n ) (n - 7) 18 (n - 1) (n ) (n - 7) 18 n n 13 n n 188441578 n (n - 1) (n - 7) 134284324148 n (n - 1) (n - 7) - ------------------------------- + ---------------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 7) 9 (n - 1) (n ) (n - 7) 9 n n 8 n n 507811697248 n (n - 1) (n - 7) 134059841920 n (n - 1) (n - 7) + --------------------------------- - --------------------------------- 2 n 2 14 2 n 2 14 3 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 14 n 2 n 13 n 2 n n ((n - 1) ) (n - 3) 12 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 55 n ((n - 1) ) (n - 3) 120 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 124 n ((n - 1) ) (n - 3) 48 n ((n - 1) ) (n - 3) + ---------------------------- - -------------------------- 4 n 3 5 4 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 2 n (n - 1) (n - 4) 10 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 182 n (n - 1) (n - 4) 190 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 968 n (n - 1) (n - 4) 280 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 20 n 3 n 96 n (n - 1) (n - 4) 2 n ((n - 1) ) (n - 3) - ----------------------- - -------------------------- 2 n 2 5 9 n 4 5 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 14 n ((n - 1) ) (n - 3) 126 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 2024 n ((n - 1) ) (n - 4) 7700 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 19160 n ((n - 1) ) (n - 4) 93392 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 10592 n ((n - 1) ) (n - 4) 6144 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 18 n 2 n 1536 n ((n - 1) ) (n - 4) 4 n ((n - 1) ) (n - 4) - ---------------------------- + -------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 32 n ((n - 1) ) (n - 4) 112 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 9981767 n ((n - 1) ) (n - 6) 17150333 n ((n - 1) ) (n - 6) + -------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 108 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 6) 16 n 3 n 15 n 3 n 2 n ((n - 1) ) (n - 2) 20 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 70 n ((n - 1) ) (n - 2) 100 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 4 5 6 n 4 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 3 n 29 n 4 n 16 n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 4) - --------------------------- - --------------------------- 6 n 4 5 8 n 5 14 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 4) 30 n 4 n 26 n 4 n n ((n - 1) ) (n - 4) 976157 n ((n - 1) ) (n - 4) + ----------------------------- + ------------------------------- 8 n 5 14 8 n 5 14 1296 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 25 n 4 n 24 n 4 n 2049047 n ((n - 1) ) (n - 4) 28403947 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 8 n 5 14 8 n 5 14 108 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 23 n 4 n 28 n 4 n 130511953 n ((n - 1) ) (n - 4) 262 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------- 8 n 5 14 8 n 5 14 108 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 27 n 4 n 22 n 4 n 9191 n ((n - 1) ) (n - 4) 8101053389 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------------- 8 n 5 14 8 n 5 14 108 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 211935851 n ((n - 1) ) (n - 4) 613011848 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 8 n 5 14 8 n 5 14 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 20 n 4 n 5632436537 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 5 14 81 (n - 1) (n ) (n - 4) 21 n 4 n 16 n 4 n 2615329717 n ((n - 1) ) (n - 4) 115703440 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 8 n 5 14 8 n 5 14 108 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 4 n 15 n 4 n 3914827189 n ((n - 1) ) (n - 4) 28828800 n ((n - 1) ) (n - 4) - ----------------------------------- - --------------------------------- 8 n 5 14 8 n 5 14 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n n 21 n n 218327 n (n - 1) (n - 7) 2189 n (n - 1) (n - 7) - ---------------------------- + -------------------------- 5 n 2 11 5 n 2 11 54 (n - 1) (n ) (n - 7) 9 (n - 1) (n ) (n - 7) 17 n n 16 n n 88912369 n (n - 1) (n - 7) 672474677 n (n - 1) (n - 7) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 7) 36 (n - 1) (n ) (n - 7) 15 n n 14 n n 756281152 n (n - 1) (n - 7) 8109646709 n (n - 1) (n - 7) + ------------------------------- - -------------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 7) 27 (n - 1) (n ) (n - 7) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 10 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 4 n 3 11 4 n 3 11 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 25 n 3 n 1601 n ((n - 1) ) (n - 4) 6515 n ((n - 1) ) (n - 5) + ----------------------------- + ----------------------------- 4 n 3 11 15 n 4 5 6 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 5) 24 n 3 n 23 n 3 n 119155 n ((n - 1) ) (n - 5) 399257 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 324 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 5) 19 n 3 n 18 n 3 n 29269580 n ((n - 1) ) (n - 5) 54805004 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 17 n 3 n 16 n 3 n 79181384 n ((n - 1) ) (n - 5) 28828960 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 15 n 3 n 21 n 4 n 7665920 n ((n - 1) ) (n - 5) 13157680 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 15 n 4 5 17 n 5 5 9 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 61327856 n ((n - 1) ) (n - 4) 23804704 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 6699008 n ((n - 1) ) (n - 4) 1289216 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 17 n 5 5 17 n 5 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 151552 n ((n - 1) ) (n - 4) 24576 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 17 n 5 5 17 n 5 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 4) 14 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 817 n ((n - 1) ) (n - 4) 3254 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 80107 n ((n - 1) ) (n - 4) 159362 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 2143115 n ((n - 1) ) (n - 4) 2448490 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 22 n 4 n 36 n 8 19401320 n ((n - 1) ) (n - 4) 7 n ((n - 1) ) + --------------------------------- - -------------------- 17 n 5 5 28 n 8 81 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) 35 n 8 34 n 8 33 n 8 7 n ((n - 1) ) 2065 n ((n - 1) ) 3395 n ((n - 1) ) + ------------------ - -------------------- + -------------------- 28 n 8 28 n 8 28 n 8 36 (n - 1) (n ) 648 (n - 1) (n ) 108 (n - 1) (n ) 32 n 8 31 n 8 30 n 8 89789 n ((n - 1) ) 17465 n ((n - 1) ) 531181 n ((n - 1) ) - --------------------- + --------------------- - ---------------------- 28 n 8 28 n 8 28 n 8 432 (n - 1) (n ) 18 (n - 1) (n ) 162 (n - 1) (n ) 29 n 8 28 n 8 27 n 8 72730 n ((n - 1) ) 1167607 n ((n - 1) ) 490000 n ((n - 1) ) + --------------------- - ----------------------- + ---------------------- 28 n 8 28 n 8 28 n 8 9 (n - 1) (n ) 81 (n - 1) (n ) 27 (n - 1) (n ) 26 n 8 25 n 8 45920 n ((n - 1) ) 23296 n ((n - 1) ) - --------------------- + --------------------- 28 n 8 28 n 8 3 (n - 1) (n ) 3 (n - 1) (n ) 11 n n 10 n n 2219 n (n - 1) (n - 3) 6818 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 13076 n (n - 1) (n - 3) 45752 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 7 n n 6 n n 9856 n (n - 1) (n - 3) 896 n (n - 1) (n - 3) + ------------------------- - ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 7 n (n - 1) (n - 3) 49 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n n 14 n n 147 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - ------------------------- - ------------------------- 5 n 2 5 2 n 2 8 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n n 12 n n 70 n (n - 1) (n - 3) 294 n (n - 1) (n - 3) + ------------------------- - ------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 6076 n (n - 1) (n - 3) 24941 n (n - 1) (n - 3) + -------------------------- - --------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 62230 n (n - 1) (n - 3) 275324 n (n - 1) (n - 3) + -------------------------- - --------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 7 n n 6 n n 13 n 24248 n (n - 1) (n - 3) 7840 n (n - 1) (n - 3) 7 n (n - 5) + -------------------------- - ------------------------- + -------------- 2 n 2 8 2 n 2 8 n 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n (n - 5) 12 n 11 n 10 n 259 n (n - 5) 700 n (n - 5) 6545 n (n - 5) - ---------------- + ---------------- - ----------------- n 8 n 8 n 8 6 n (n - 5) n (n - 5) n (n - 5) 9 n 8 n 7 n 78057 n (n - 5) 309729 n (n - 5) 1240015 n (n - 5) + ----------------- - ------------------ + ------------------- n 8 n 8 n 8 2 n (n - 5) 2 n (n - 5) 3 n (n - 5) 6 n 5 n 4 n 2192890 n (n - 5) 817012 n (n - 5) 518784 n (n - 5) - ------------------- + ------------------ - ------------------ n 8 n 8 n 8 3 n (n - 5) n (n - 5) n (n - 5) 3 n 23 n 4 n 141120 n (n - 5) 537 n ((n - 1) ) (n - 3) + ------------------ - ---------------------------- n 8 14 n 5 5 n (n - 5) (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 5633 n ((n - 1) ) (n - 3) 10194 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 339260 n ((n - 1) ) (n - 4) 248728 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1180240 n ((n - 1) ) (n - 4) 435952 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 12 n 4 5 12 n 4 5 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 106944 n ((n - 1) ) (n - 4) 46848 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 24 n 3 n 9216 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 11 n ((n - 1) ) (n - 4) 494 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 1478 n ((n - 1) ) (n - 4) 8855 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 19 n 3 n 17 n 18 n 12429 n ((n - 1) ) (n - 4) 25 n (n - 7) n (n - 7) + ------------------------------ - --------------- + --------------- 12 n 4 5 n 11 n 11 (n - 1) (n ) (n - 4) 12 n (n - 7) 36 n (n - 7) 14 n 13 n 12 n 758317 n (n - 7) 854945 n (n - 7) 57857525 n (n - 7) + ------------------- - ------------------- + --------------------- n 11 n 11 n 11 36 n (n - 7) 4 n (n - 7) 36 n (n - 7) 11 n 16 n 15 n 109324655 n (n - 7) 2575 n (n - 7) 17885 n (n - 7) - ---------------------- + ----------------- - ------------------ n 11 n 11 n 11 12 n (n - 7) 36 n (n - 7) 12 n (n - 7) 10 n 6 n 5 n 705771319 n (n - 7) 724906904 n (n - 7) 621766080 n (n - 7) + ---------------------- + --------------------- - --------------------- n 11 n 11 n 11 18 n (n - 7) n (n - 7) n (n - 7) 8 n 9 n 4 n 2821817600 n (n - 7) 383861170 n (n - 7) 317808000 n (n - 7) + ---------------------- - --------------------- + --------------------- n 11 n 11 n 11 9 n (n - 7) 3 n (n - 7) n (n - 7) 7 n 3 n 565466580 n (n - 7) 72576000 n (n - 7) - --------------------- - -------------------- n 11 n 11 n (n - 7) n (n - 7) 18 n 2 n 17 n 2 n 42884471 n ((n - 1) ) (n - 4) 56934829 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 216 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 260411137 n ((n - 1) ) (n - 4) 50644552 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 108 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 269052196 n ((n - 1) ) (n - 4) 39427262 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 37460612 n ((n - 1) ) (n - 4) 8060752 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 3157056 n ((n - 1) ) (n - 4) 564480 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------ 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 18 n 14 n 286 n (n - 5) 25 n (n - 5) 8099455 n (n - 5) + ---------------- - ---------------- - -------------------- n 14 n 14 n 14 81 n (n - 5) 324 n (n - 5) 324 n (n - 5) 13 n 12 n 40698229 n (n - 5) 618767435 n (n - 5) + --------------------- - ---------------------- n 14 n 14 162 n (n - 5) 324 n (n - 5) 11 n 16 n 15 n 14365627133 n (n - 5) 31765 n (n - 5) 1196741 n (n - 5) + ------------------------ - ------------------ + -------------------- n 14 n 14 n 14 1296 n (n - 5) 324 n (n - 5) 648 n (n - 5) 10 n 6 n 3986760635 n (n - 5) 3156242060 n (n - 5) - ----------------------- - ---------------------- n 14 n 14 81 n (n - 5) 3 n (n - 5) 5 n 8 n 2799157712 n (n - 5) 34274227715 n (n - 5) + ---------------------- - ----------------------- n 14 n 14 3 n (n - 5) 81 n (n - 5) 9 n 4 n 13478425688 n (n - 5) 491642560 n (n - 5) + ----------------------- - --------------------- n 14 n 14 81 n (n - 5) n (n - 5) 7 n 3 n 19 n 21381576733 n (n - 5) 115315200 n (n - 5) 245 n (n - 6) + ----------------------- + --------------------- - ---------------- n 14 n 14 n 14 27 n (n - 5) n (n - 5) 432 n (n - 6) 17 n 18 n 20 n 29155 n (n - 6) 329 n (n - 6) 7 n (n - 6) - ------------------ + ---------------- + ----------------- n 14 n 14 n 14 36 n (n - 6) 12 n (n - 6) 1296 n (n - 6) 14 n 13 n 853256131 n (n - 6) 2393416025 n (n - 6) + ---------------------- - ----------------------- n 14 n 14 324 n (n - 6) 108 n (n - 6) 12 n 11 n 20798536759 n (n - 6) 105479348975 n (n - 6) + ------------------------ - ------------------------- n 14 n 14 144 n (n - 6) 144 n (n - 6) 16 n 15 n 10 n 3533579 n (n - 6) 17253145 n (n - 6) 77961867347 n (n - 6) + -------------------- - --------------------- + ------------------------ n 14 n 14 n 14 216 n (n - 6) 72 n (n - 6) 27 n (n - 6) 6 n 5 n 43354192028 n (n - 6) 108295013680 n (n - 6) + ----------------------- - ------------------------ n 14 n 14 n (n - 6) 3 n (n - 6) 8 n 9 n 19 n 1648611081418 n (n - 6) 79073832565 n (n - 6) 317 n (n - 7) + ------------------------- - ----------------------- + ---------------- n 14 n 14 n 14 81 n (n - 6) 9 n (n - 6) 12 n (n - 7) 17 n 18 n 21 n 654737 n (n - 7) 5011 n (n - 7) n (n - 7) + ------------------- - ----------------- + ---------------- n 14 n 14 n 14 36 n (n - 7) 6 n (n - 7) 216 n (n - 7) 20 n 14 n 13 n 37 n (n - 7) 585704041 n (n - 7) 5706552137 n (n - 7) - --------------- - ---------------------- + ----------------------- n 14 n 14 n 14 72 n (n - 7) 18 n (n - 7) 24 n (n - 7) 12 n 11 n 32895795647 n (n - 7) 224715582793 n (n - 7) - ------------------------ + ------------------------- n 14 n 14 24 n (n - 7) 36 n (n - 7) 16 n 15 n 10 n 3474329 n (n - 7) 94220789 n (n - 7) 67142162074 n (n - 7) - -------------------- + --------------------- - ------------------------ n 14 n 14 n 14 12 n (n - 7) 27 n (n - 7) 3 n (n - 7) 6 n 5 n 253905848624 n (n - 7) 201089762880 n (n - 7) - ------------------------ + ------------------------ n 14 n 14 n (n - 7) n (n - 7) 8 n 9 n 1212691599506 n (n - 7) 1691028011408 n (n - 7) - ------------------------- + ------------------------- n 14 n 14 9 n (n - 7) 27 n (n - 7) 4 n 7 n 96106464000 n (n - 7) 652738456892 n (n - 7) - ----------------------- + ------------------------ n 14 n 14 n (n - 7) 3 n (n - 7) 3 n 4 n 20756736000 n (n - 7) 18014696000 n (n - 6) + ----------------------- + ----------------------- n 14 n 14 n (n - 7) n (n - 6) 7 n 3 n 19 n 947198435435 n (n - 6) 4036032000 n (n - 6) n (n - 5) - ------------------------ - ---------------------- + ----------------- n 14 n 14 n 14 27 n (n - 6) n (n - 6) 1296 n (n - 5) 15 n 5 27 n 5 26 n 5 256 n ((n - 1) ) n ((n - 1) ) n ((n - 1) ) + ------------------- + -------------------- - ------------------ 22 n 5 22 n 5 22 n 5 (n - 1) (n ) 1296 (n - 1) (n ) 36 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 295 n ((n - 1) ) 485 n ((n - 1) ) 12827 n ((n - 1) ) + ------------------- - ------------------- + --------------------- 22 n 5 22 n 5 22 n 5 648 (n - 1) (n ) 108 (n - 1) (n ) 432 (n - 1) (n ) 18 n 6 22 n 2 n 64 n ((n - 1) ) n ((n - 1) ) (n - 5) - ------------------ + --------------------------- 18 n 6 10 n 3 5 (n - 1) (n ) 36 (n - 1) (n ) (n - 5) 21 n 2 n 20 n 2 n 37 n ((n - 1) ) (n - 5) 313 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 10 n 3 5 10 n 3 5 36 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 196676 n ((n - 1) ) (n - 5) 525806 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 1041244 n ((n - 1) ) (n - 5) 1507204 n ((n - 1) ) (n - 5) + -------------------------------- - -------------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 516160 n ((n - 1) ) (n - 5) 118656 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 16 n 2 n 49152 n ((n - 1) ) (n - 5) 4 n ((n - 1) ) (n - 2) + ------------------------------ + -------------------------- 10 n 3 5 7 n 3 5 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 76 n ((n - 1) ) (n - 2) 604 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 2596 n ((n - 1) ) (n - 2) 6496 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 9424 n ((n - 1) ) (n - 2) 2432 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 9 n 2 n 23 n 4 n 256 n ((n - 1) ) (n - 2) 3741533 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------------- 7 n 3 5 14 n 5 8 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 2196007 n ((n - 1) ) (n - 3) 8718764 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 8 14 n 5 8 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 1917036 n ((n - 1) ) (n - 3) 25112084 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 8682712 n ((n - 1) ) (n - 3) 2020320 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 8 14 n 5 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 848256 n ((n - 1) ) (n - 3) 161280 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 12 n n 137096910860 n (n - 1) (n - 5) 53913702752 n (n - 1) (n - 5) + ---------------------------------- - --------------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 7 n n 10 n n 1966570240 n (n - 1) (n - 5) 85526306932 n (n - 1) (n - 5) + ------------------------------- - --------------------------------- 2 n 2 14 2 n 2 14 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 6 n n 27 n 3 n 461260800 n (n - 1) (n - 5) n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------- 2 n 2 14 12 n 4 8 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n 17 n ((n - 1) ) (n - 4) 1195 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 12 n 4 8 12 n 4 8 6 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 5689 n ((n - 1) ) (n - 4) 166165 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------- 12 n 4 8 12 n 4 8 6 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 22 n 3 n 26 n 3 n 129801 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 3) + ------------------------------- - --------------------------- 12 n 4 8 12 n 4 8 2 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 8 n ((n - 1) ) (n - 3) 1051 n ((n - 1) ) (n - 3) + -------------------------- - ----------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 773 n ((n - 1) ) (n - 3) 124423 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------- 12 n 4 8 12 n 4 8 3 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 132490 n ((n - 1) ) (n - 3) 3741533 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 2196007 n ((n - 1) ) (n - 3) 17437528 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 1278024 n ((n - 1) ) (n - 3) 50224168 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 17365424 n ((n - 1) ) (n - 3) 1346880 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 12 n 4 8 12 n 4 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 565504 n ((n - 1) ) (n - 3) 107520 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 2 n (n - 1) (n - 2) 20 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 70 n (n - 1) (n - 2) 100 n (n - 1) (n - 2) - ------------------------- + ------------------------- 2 n 2 5 2 n 2 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 21 n 3 n 16 n (n - 1) (n - 2) 6126353 n ((n - 1) ) (n - 4) - ----------------------- - -------------------------------- 2 n 2 5 12 n 4 8 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 8133547 n ((n - 1) ) (n - 4) 37201591 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 12 n 4 8 12 n 4 8 6 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 28939744 n ((n - 1) ) (n - 4) 153744112 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 12 n 4 8 12 n 4 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 22529864 n ((n - 1) ) (n - 4) 21406064 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 13818432 n ((n - 1) ) (n - 4) 5412096 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 967680 n ((n - 1) ) (n - 4) 10799189 n ((n - 1) ) (n - 5) + ------------------------------- + --------------------------------- 12 n 4 8 10 n 3 8 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 48906053 n ((n - 1) ) (n - 5) 86002873 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 16 n 2 n 11 n 2 n 117812798 n ((n - 1) ) (n - 5) 5598315424 n ((n - 1) ) (n - 5) - ---------------------------------- + ----------------------------------- 10 n 3 8 4 n 3 14 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 68548455430 n ((n - 1) ) (n - 5) - ------------------------------------ 4 n 3 14 27 (n - 1) (n ) (n - 5) 15 n 2 n 26956851376 n ((n - 1) ) (n - 5) + ------------------------------------ 4 n 3 14 27 (n - 1) (n ) (n - 5) 10 n 2 n 2949855360 n ((n - 1) ) (n - 5) - ----------------------------------- 4 n 3 14 (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 42763153466 n ((n - 1) ) (n - 5) 691891200 n ((n - 1) ) (n - 5) + ------------------------------------ + --------------------------------- 4 n 3 14 4 n 3 14 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 33 n 7 32 n 7 31 n 7 n ((n - 1) ) n ((n - 1) ) 295 n ((n - 1) ) + ------------------- - ----------------- + ------------------- 26 n 7 26 n 7 26 n 7 216 (n - 1) (n ) 6 (n - 1) (n ) 108 (n - 1) (n ) 30 n 7 29 n 7 28 n 7 485 n ((n - 1) ) 12827 n ((n - 1) ) 2495 n ((n - 1) ) - ------------------- + --------------------- - -------------------- 26 n 7 26 n 7 26 n 7 18 (n - 1) (n ) 72 (n - 1) (n ) 3 (n - 1) (n ) 27 n 7 26 n 7 25 n 7 75883 n ((n - 1) ) 20780 n ((n - 1) ) 333602 n ((n - 1) ) + --------------------- - --------------------- + ---------------------- 26 n 7 26 n 7 26 n 7 27 (n - 1) (n ) 3 (n - 1) (n ) 27 (n - 1) (n ) 24 n 7 23 n 7 22 n 7 140000 n ((n - 1) ) 13120 n ((n - 1) ) 6656 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 26 n 7 26 n 7 26 n 7 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 25 n 6 24 n 6 23 n 6 4990 n ((n - 1) ) 151766 n ((n - 1) ) 41560 n ((n - 1) ) + -------------------- - ---------------------- + --------------------- 24 n 6 24 n 6 24 n 6 9 (n - 1) (n ) 81 (n - 1) (n ) 9 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 667204 n ((n - 1) ) 280000 n ((n - 1) ) 26240 n ((n - 1) ) - ---------------------- + ---------------------- - --------------------- 24 n 6 24 n 6 24 n 6 81 (n - 1) (n ) 27 (n - 1) (n ) 3 (n - 1) (n ) 19 n 6 18 n 6 30 n 6 13312 n ((n - 1) ) 1024 n ((n - 1) ) n ((n - 1) ) + --------------------- - -------------------- - ------------------- 24 n 6 24 n 6 24 n 6 3 (n - 1) (n ) (n - 1) (n ) 324 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 n ((n - 1) ) 295 n ((n - 1) ) 485 n ((n - 1) ) + ----------------- - ------------------- + ------------------- 24 n 6 24 n 6 24 n 6 9 (n - 1) (n ) 162 (n - 1) (n ) 27 (n - 1) (n ) 26 n 6 22 n 5 21 n 5 12827 n ((n - 1) ) 2495 n ((n - 1) ) 75883 n ((n - 1) ) - --------------------- - -------------------- + --------------------- 24 n 6 22 n 5 22 n 5 108 (n - 1) (n ) 18 (n - 1) (n ) 162 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 10390 n ((n - 1) ) 166801 n ((n - 1) ) 70000 n ((n - 1) ) - --------------------- + ---------------------- - --------------------- 22 n 5 22 n 5 22 n 5 9 (n - 1) (n ) 81 (n - 1) (n ) 27 (n - 1) (n ) 17 n 5 16 n 5 6560 n ((n - 1) ) 3328 n ((n - 1) ) + -------------------- - -------------------- 22 n 5 22 n 5 3 (n - 1) (n ) 3 (n - 1) (n ) 16 n 3 n 15 n 3 n 1055835368 n ((n - 1) ) (n - 4) 133724624 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 9 n 4 11 9 n 4 11 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 102311296 n ((n - 1) ) (n - 4) 46890240 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 21 n 2 n 9676800 n ((n - 1) ) (n - 4) 689521 n ((n - 1) ) (n - 5) + -------------------------------- + ------------------------------- 9 n 4 11 7 n 3 11 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 5) 19 n 2 n 20 n 2 n 51534905 n ((n - 1) ) (n - 5) 6899227 n ((n - 1) ) (n - 5) + --------------------------------- - -------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 22 n 2 n 16 n 2 n 49741 n ((n - 1) ) (n - 5) 4328624432 n ((n - 1) ) (n - 5) - ------------------------------ - ----------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 18 n 2 n 12 n 2 n 293087663 n ((n - 1) ) (n - 5) 1274419584 n ((n - 1) ) (n - 5) - ---------------------------------- - ----------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 17 n 2 n 912270848 n ((n - 1) ) (n - 5) 1282260650 n ((n - 1) ) (n - 5) + ---------------------------------- + ----------------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 14 n 2 n 22161411056 n ((n - 1) ) (n - 5) - ------------------------------------ 7 n 3 11 27 (n - 1) (n ) (n - 5) 15 n 2 n 11233072256 n ((n - 1) ) (n - 5) + ------------------------------------ 7 n 3 11 27 (n - 1) (n ) (n - 5) 10 n 2 n 394475520 n ((n - 1) ) (n - 5) - ---------------------------------- 7 n 3 11 (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 10853726176 n ((n - 1) ) (n - 5) 77414400 n ((n - 1) ) (n - 5) + ------------------------------------ + -------------------------------- 7 n 3 11 7 n 3 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 73 n ((n - 1) ) (n - 5) 2443 n ((n - 1) ) (n - 5) - --------------------------- + ----------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 25 n 2 n 24 n 2 n n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) + --------------------------- + --------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 4) 23 n 2 n 7 n n 23 n ((n - 1) ) (n - 4) 30882336000 n (n - 1) (n - 6) - --------------------------- - -------------------------------- 7 n 3 11 2 n 2 14 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 6) 10 n n 6 n n 541256248820 n (n - 1) (n - 6) 6918912000 n (n - 1) (n - 6) + ---------------------------------- + ------------------------------- 2 n 2 14 2 n 2 14 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 22 n n 20 n n n (n - 1) (n - 5) 1144 n (n - 1) (n - 5) - ---------------------------- - --------------------------- 2 n 2 14 2 n 2 14 324 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 21 n n 17 n n 25 n (n - 1) (n - 5) 8099455 n (n - 1) (n - 5) + --------------------------- + ----------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 16 n n 15 n n 81396458 n (n - 1) (n - 5) 618767435 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 2 n 2 14 2 n 2 14 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 14 n n 19 n n 14365627133 n (n - 1) (n - 5) 31765 n (n - 1) (n - 5) - --------------------------------- + --------------------------- 2 n 2 14 2 n 2 14 324 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 18 n n 13 n n 1196741 n (n - 1) (n - 5) 15947042540 n (n - 1) (n - 5) - ----------------------------- + --------------------------------- 2 n 2 14 2 n 2 14 162 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 9 n n 8 n n 12624968240 n (n - 1) (n - 5) 11196630848 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 2 n 2 14 2 n 2 14 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 30 n 7 29 n 7 28 n 7 n ((n - 1) ) 3 n ((n - 1) ) 107 n ((n - 1) ) + ------------------ - ----------------- + ------------------- 23 n 7 23 n 7 23 n 7 36 (n - 1) (n ) 4 (n - 1) (n ) 12 (n - 1) (n ) 27 n 7 26 n 7 25 n 7 245 n ((n - 1) ) 1607 n ((n - 1) ) 773 n ((n - 1) ) - ------------------- + -------------------- - ------------------- 23 n 7 23 n 7 23 n 7 4 (n - 1) (n ) 6 (n - 1) (n ) (n - 1) (n ) 24 n 7 23 n 7 22 n 7 13250 n ((n - 1) ) 1784 n ((n - 1) ) 1248 n ((n - 1) ) + --------------------- - -------------------- + -------------------- 23 n 7 23 n 7 23 n 7 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 15 n 13 n 14 n 112 n (n - 5) 55097 n (n - 5) 12887 n (n - 5) - ---------------- - ------------------ + ------------------ n 11 n 11 n 11 9 n (n - 5) 9 n (n - 5) 36 n (n - 5) 16 n 10 n 12 n 7 n (n - 5) 112511861 n (n - 5) 832447 n (n - 5) + --------------- + ---------------------- + ------------------- n 11 n 11 n 11 36 n (n - 5) 36 n (n - 5) 12 n (n - 5) 6 n 5 n 11 n 369079396 n (n - 5) 119600768 n (n - 5) 1648262 n (n - 5) + --------------------- - --------------------- - -------------------- n 11 n 11 n 11 3 n (n - 5) n (n - 5) 3 n (n - 5) 8 n 9 n 4 n 348125008 n (n - 5) 116203241 n (n - 5) 67945920 n (n - 5) + --------------------- - --------------------- + -------------------- n 11 n 11 n 11 9 n (n - 5) 9 n (n - 5) n (n - 5) 7 n 3 n 745612252 n (n - 5) 16934400 n (n - 5) - --------------------- - -------------------- n 11 n 11 9 n (n - 5) n (n - 5) 15 n 2 n 14 n 2 n 250510520 n ((n - 1) ) (n - 5) 408872612 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 55762760 n ((n - 1) ) (n - 5) 49721344 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 30342912 n ((n - 1) ) (n - 5) 11308032 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 25 n 2 n 1935360 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 5) + ------------------------------- + --------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 55 n ((n - 1) ) (n - 5) 1399 n ((n - 1) ) (n - 5) - --------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 22 n 2 n 21 n 2 n 21847 n ((n - 1) ) (n - 5) 234433 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 20 n 2 n 24 n 2 n 1832869 n ((n - 1) ) (n - 5) 7 n ((n - 1) ) (n - 4) - -------------------------------- + ---------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 119 n ((n - 1) ) (n - 4) 8365 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 72 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 39823 n ((n - 1) ) (n - 4) 1163155 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 10 n 3 8 10 n 3 8 72 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 19 n 2 n 23 n 2 n 302869 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 3) - ------------------------------- + ---------------------------- 10 n 3 8 10 n 3 8 8 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 2 n ((n - 1) ) (n - 3) 1051 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 773 n ((n - 1) ) (n - 3) 124423 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 66245 n ((n - 1) ) (n - 3) 3741533 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 10 n 3 8 10 n 3 8 18 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 2196007 n ((n - 1) ) (n - 3) 4359382 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 319506 n ((n - 1) ) (n - 3) 12556042 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 4341356 n ((n - 1) ) (n - 3) 336720 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 141376 n ((n - 1) ) (n - 3) 26880 n ((n - 1) ) (n - 3) - ------------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 2167 n ((n - 1) ) (n - 4) 13691 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 7 n 3 11 7 n 3 11 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 525229 n ((n - 1) ) (n - 4) 1599437 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 7 n 3 11 7 n 3 11 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 32341661 n ((n - 1) ) (n - 4) 54573673 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 11 7 n 3 11 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 16 n 2 n 31 n 5 n 627376574 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------- 7 n 3 11 22 n 6 2 81 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 37 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 22 n 6 2 22 n 6 2 108 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 3205 n ((n - 1) ) (n - 2) 14767 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 22 n 6 2 22 n 6 2 54 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 72707 n ((n - 1) ) (n - 2) 196676 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 22 n 6 2 22 n 6 2 36 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 24 n 5 n 25 n 4 n 525806 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------- + -------------------------- 22 n 6 2 14 n 5 5 27 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 14 n ((n - 1) ) (n - 2) 58 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 14 n 5 5 14 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 6245 n ((n - 1) ) (n - 2) 40414 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 58612 n ((n - 1) ) (n - 2) 18192 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 9792 n ((n - 1) ) (n - 2) 2304 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 155768 n ((n - 1) ) (n - 3) 92960 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 15 n 2 n 343600 n ((n - 1) ) (n - 3) 606372712 n ((n - 1) ) (n - 4) - ------------------------------- - ---------------------------------- 12 n 4 5 7 n 3 11 3 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 4) 14 n 2 n 3956599712 n ((n - 1) ) (n - 4) + ----------------------------------- 7 n 3 11 81 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 2111670736 n ((n - 1) ) (n - 4) 267449248 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 204622592 n ((n - 1) ) (n - 4) 31260160 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 7 n 3 11 7 n 3 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 18 n n 6451200 n ((n - 1) ) (n - 4) 4826647 n (n - 1) (n - 5) - ------------------------------- - ----------------------------- 7 n 3 11 5 n 2 11 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 5) 16 n n 17 n n 360744335 n (n - 1) (n - 5) 48294589 n (n - 1) (n - 5) - ------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 26 n 4 n 25 n 4 n 2 n ((n - 1) ) (n - 3) 26 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 11 n 5 8 11 n 5 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 1348 n ((n - 1) ) (n - 3) 4540 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 11 n 5 8 11 n 5 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 29782 n ((n - 1) ) (n - 3) 44366 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 11 n 5 8 11 n 5 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 1239544 n ((n - 1) ) (n - 3) 890080 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 11 n 5 8 11 n 5 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 3906752 n ((n - 1) ) (n - 3) 1230176 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 5 8 11 n 5 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 224512 n ((n - 1) ) (n - 3) 53760 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 11 n 5 8 11 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 4) 14 n ((n - 1) ) (n - 4) - ------------------------- + --------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 3 n 19 n n 791 n ((n - 1) ) (n - 4) 348187 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 9 n 4 8 5 n 2 11 3 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 5) 13 n n 15 n n 7575092756 n (n - 1) (n - 5) 2051613641 n (n - 1) (n - 5) + -------------------------------- + -------------------------------- 5 n 2 11 5 n 2 11 81 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 9 n n 8 n n 743411424 n (n - 1) (n - 5) 1596473984 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 14 n n 11 n n 4487912275 n (n - 1) (n - 5) 38782469348 n (n - 1) (n - 5) - -------------------------------- + --------------------------------- 5 n 2 11 5 n 2 11 162 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 12 n n 7 n n 19657876448 n (n - 1) (n - 5) 230110720 n (n - 1) (n - 5) - --------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 81 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 18994020808 n (n - 1) (n - 5) 45158400 n (n - 1) (n - 5) - --------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n n 18 n n 3442 n (n - 1) (n - 6) 191608 n (n - 1) (n - 6) + -------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 16 n n 17 n n 91793698 n (n - 1) (n - 6) 43015520 n (n - 1) (n - 6) + ------------------------------ - ------------------------------ 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 19 n n 13 n n 156371 n (n - 1) (n - 6) 5479365736 n (n - 1) (n - 6) - ---------------------------- - -------------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 15 n n 9 n n 305299885 n (n - 1) (n - 6) 3642184384 n (n - 1) (n - 6) - ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 6 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 14 n n 2477914880 n (n - 1) (n - 6) 596662649 n (n - 1) (n - 6) + ------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 11 n n 12 n n 71684116904 n (n - 1) (n - 6) 1450495784 n (n - 1) (n - 6) - --------------------------------- + -------------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 10 n n 1024896000 n (n - 1) (n - 6) 32869203568 n (n - 1) (n - 6) - ------------------------------- + --------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 6 n n 23 n n 193536000 n (n - 1) (n - 6) n (n - 1) (n - 6) + ------------------------------ - --------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 22 n n 21 n n 13 n (n - 1) (n - 6) 52 n (n - 1) (n - 6) + -------------------------- - ------------------------ 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 21 n n 20 n n 511 n (n - 1) (n - 5) 17101 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 22 n n 21 n n 7 n (n - 1) (n - 5) n (n - 1) (n - 4) - ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 4) 20 n n 19 n n 23 n (n - 1) (n - 4) 2167 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 18 n n 17 n n 13691 n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 108 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 12 n n 11 n n 151593178 n (n - 1) (n - 4) 989149928 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 10 n n 9 n n 527917684 n (n - 1) (n - 4) 66862312 n (n - 1) (n - 4) + ------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 51155648 n (n - 1) (n - 4) 7815040 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 25 n 2 n 1612800 n (n - 1) (n - 4) n ((n - 1) ) (n - 5) + ---------------------------- + ---------------------------- 5 n 2 11 4 n 3 14 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 5) 23 n 2 n 24 n 2 n 572 n ((n - 1) ) (n - 5) 25 n ((n - 1) ) (n - 5) + ---------------------------- - --------------------------- 4 n 3 14 4 n 3 14 27 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 20 n 2 n 19 n 2 n 8099455 n ((n - 1) ) (n - 5) 40698229 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 4 n 3 14 4 n 3 14 54 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 18 n 2 n 618767435 n ((n - 1) ) (n - 5) - ---------------------------------- 4 n 3 14 54 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 14365627133 n ((n - 1) ) (n - 5) 31765 n ((n - 1) ) (n - 5) + ------------------------------------ - ------------------------------ 4 n 3 14 4 n 3 14 216 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 21 n 2 n 16 n 2 n 1196741 n ((n - 1) ) (n - 5) 7973521270 n ((n - 1) ) (n - 5) + -------------------------------- - ----------------------------------- 4 n 3 14 4 n 3 14 108 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 12 n 2 n 12 n n 6312484120 n ((n - 1) ) (n - 5) 8722 n (n - 1) (n - 4) - ----------------------------------- + -------------------------- 4 n 3 14 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 11 n n 10 n n 43169 n (n - 1) (n - 4) 137053 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 835394 n (n - 1) (n - 4) 348068 n (n - 1) (n - 4) - --------------------------- + --------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n n 7 241752 n (n - 1) (n - 4) 70560 n (n - 1) (n - 4) (n - 2) n - --------------------------- + -------------------------- + ------------- 2 n 2 8 2 n 2 8 5 n (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 4 (n - 2) n - ------------- + -------------- - -------------- + ------------- 5 n 5 n 5 n 5 n 3 (n - 2) n 6 (n - 2) n 3 (n - 2) n (n - 2) n 21 n 7 20 n n 384 n ((n - 1) ) n (n - 1) (n - 6) - ------------------- - -------------------------- 23 n 7 5 n 2 8 (n - 1) (n ) 18 (n - 1) (n ) (n - 6) 19 n n 18 n n 17 n (n - 1) (n - 6) 1189 n (n - 1) (n - 6) + ------------------------- - -------------------------- 5 n 2 8 5 n 2 8 6 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 21 n 7 18 n 2 n 1536 n ((n - 1) ) 46281779 n ((n - 1) ) (n - 6) + -------------------- + --------------------------------- 26 n 7 10 n 3 8 (n - 1) (n ) 24 (n - 1) (n ) (n - 6) 17 n 2 n 16 n 2 n 221879987 n ((n - 1) ) (n - 6) 139929085 n ((n - 1) ) (n - 6) - ---------------------------------- + ---------------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 15 n 2 n 14 n 2 n 276904202 n ((n - 1) ) (n - 6) 1273113950 n ((n - 1) ) (n - 6) - ---------------------------------- + ----------------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 13 n 2 n 12 n 2 n 164267572 n ((n - 1) ) (n - 6) 139474816 n ((n - 1) ) (n - 6) - ---------------------------------- + ---------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 11 n 2 n 10 n 2 n 27170432 n ((n - 1) ) (n - 6) 9745920 n ((n - 1) ) (n - 6) - --------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n 2 n 26 n 5 n 1612800 n ((n - 1) ) (n - 6) 21724307 n ((n - 1) ) (n - 3) - ------------------------------- - --------------------------------- 10 n 3 8 13 n 6 11 (n - 1) (n ) (n - 6) 324 (n - 1) (n ) (n - 3) 25 n 5 n 24 n 5 n 16424683 n ((n - 1) ) (n - 3) 82933070 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 6 11 13 n 6 11 54 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 23 n 5 n 22 n 5 n 68660108 n ((n - 1) ) (n - 3) 371208956 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 13 n 6 11 13 n 6 11 27 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 21 n 5 n 20 n 5 n 156708728 n ((n - 1) ) (n - 3) 43878208 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 13 n 6 11 13 n 6 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 7277440 n ((n - 1) ) (n - 3) 537600 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 13 n 6 11 13 n 6 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 32 n 5 n 31 n 5 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 13 n 6 11 13 n 6 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 30 n 5 n 29 n 5 n 1969 n ((n - 1) ) (n - 3) 5861 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 13 n 6 11 13 n 6 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n 419731 n ((n - 1) ) (n - 3) 589853 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 13 n 6 11 13 n 6 11 324 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 10302160 n ((n - 1) ) (n - 4) 75302656 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 6 n 4 11 6 n 4 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 41617840 n ((n - 1) ) (n - 4) 14810384 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 6 n 4 11 6 n 4 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 9101760 n ((n - 1) ) (n - 4) 2419200 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 4 11 6 n 4 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 19 n 2 n 32 n ((n - 1) ) (n - 5) 15742 n ((n - 1) ) (n - 5) - --------------------------- - ------------------------------ 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 20 n 2 n 22 n 2 n 1841 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 5) + ----------------------------- + -------------------------- 4 n 3 11 4 n 3 11 6 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 16 n 2 n 18 n 2 n 16073123 n ((n - 1) ) (n - 5) 118921 n ((n - 1) ) (n - 5) + --------------------------------- + ------------------------------- 4 n 3 11 4 n 3 11 6 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 105451256 n ((n - 1) ) (n - 5) 102514944 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 2 n 14 n 2 n 470932 n ((n - 1) ) (n - 5) 99464288 n ((n - 1) ) (n - 5) - ------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n 2 n 10 n 2 n 33200926 n ((n - 1) ) (n - 5) 58239360 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 213032072 n ((n - 1) ) (n - 5) 14515200 n ((n - 1) ) (n - 5) - ---------------------------------- - -------------------------------- 4 n 3 11 4 n 3 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 27 n 6 n 26 n 6 n 1008661 n ((n - 1) ) (n - 2) 2342060 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 18 n 7 8 18 n 7 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 25 n 6 n 24 n 6 n 3942542 n ((n - 1) ) (n - 2) 1556986 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 18 n 7 8 18 n 7 8 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 23 n 6 n 22 n 6 n 136376 n ((n - 1) ) (n - 2) 63968 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 18 n 7 8 18 n 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 n 34 n 6 n 13440 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 18 n 7 8 18 n 7 8 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 33 n 6 n 32 n 6 n 23 n ((n - 1) ) (n - 2) 959 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 18 n 7 8 18 n 7 8 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 31 n 6 n 30 n 6 n 2999 n ((n - 1) ) (n - 2) 11159 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 18 n 7 8 18 n 7 8 54 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 29 n 6 n 32 n 5 n 99013 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ------------------------------ - --------------------------- 18 n 7 8 16 n 6 8 36 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 3) 31 n 5 n 30 n 5 n 8 n ((n - 1) ) (n - 3) 1051 n ((n - 1) ) (n - 3) + -------------------------- - ----------------------------- 16 n 6 8 16 n 6 8 9 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 29 n 5 n 28 n 5 n 773 n ((n - 1) ) (n - 3) 124423 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------- 16 n 6 8 16 n 6 8 3 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 27 n 5 n 26 n 5 n 132490 n ((n - 1) ) (n - 3) 3741533 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 16 n 6 8 16 n 6 8 9 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 25 n 5 n 24 n 5 n 2196007 n ((n - 1) ) (n - 3) 17437528 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 16 n 6 8 16 n 6 8 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 23 n 5 n 22 n 5 n 1278024 n ((n - 1) ) (n - 3) 50224168 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 16 n 6 8 16 n 6 8 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 21 n 5 n 20 n 5 n 17365424 n ((n - 1) ) (n - 3) 1346880 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 16 n 6 8 16 n 6 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 565504 n ((n - 1) ) (n - 3) 107520 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 16 n 6 8 16 n 6 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 11 n 10 n 49 n (n - 4) 539 n (n - 4) 637 n (n - 4) + --------------- - ---------------- + ---------------- n 8 n 8 n 8 36 n (n - 4) 12 n (n - 4) n (n - 4) 9 n 8 n 7 n 30527 n (n - 4) 302183 n (n - 4) 959371 n (n - 4) - ----------------- + ------------------ - ------------------ n 8 n 8 n 8 6 n (n - 4) 12 n (n - 4) 12 n (n - 4) 6 n 5 n 4 n 2923879 n (n - 4) 609119 n (n - 4) 141022 n (n - 4) + ------------------- - ------------------ + ------------------ n 8 n 8 n 8 18 n (n - 4) 3 n (n - 4) n (n - 4) 3 n 22 n n 41160 n (n - 4) 35 n (n - 1) (n - 6) - ----------------- + --------------------------- n 8 2 n 2 14 n (n - 4) 36 (n - 1) (n ) (n - 6) 20 n n 21 n n 4165 n (n - 1) (n - 6) 47 n (n - 1) (n - 6) + -------------------------- - ------------------------ 2 n 2 14 2 n 2 14 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 23 n n 17 n n n (n - 1) (n - 6) 121893733 n (n - 1) (n - 6) - ---------------------------- - ------------------------------- 2 n 2 14 2 n 2 14 108 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 16 n n 15 n n 341916575 n (n - 1) (n - 6) 2971219537 n (n - 1) (n - 6) + ------------------------------- - -------------------------------- 2 n 2 14 2 n 2 14 9 (n - 1) (n ) (n - 6) 12 (n - 1) (n ) (n - 6) 14 n n 19 n n 15068478425 n (n - 1) (n - 6) 504797 n (n - 1) (n - 6) + --------------------------------- - ---------------------------- 2 n 2 14 2 n 2 14 12 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 18 n n 13 n n 2464735 n (n - 1) (n - 6) 44549638484 n (n - 1) (n - 6) + ----------------------------- - --------------------------------- 2 n 2 14 2 n 2 14 6 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 9 n n 8 n n 74321472048 n (n - 1) (n - 6) 61882864960 n (n - 1) (n - 6) - -------------------------------- + -------------------------------- 2 n 2 14 2 n 2 14 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 12 n n 942063475096 n (n - 1) (n - 6) 45185047180 n (n - 1) (n - 6) - ---------------------------------- + --------------------------------- 2 n 2 14 2 n 2 14 27 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 8 n 7 n 6 n 5 n 7 n (n - 3) 14 n (n - 3) 385 n (n - 3) 140 n (n - 3) + ------------- - -------------- + --------------- - --------------- n 5 n 5 n 5 n 5 6 n (n - 3) n (n - 3) 6 n (n - 3) n (n - 3) 4 n 3 n 10 n 2 n 434 n (n - 3) 56 n (n - 3) 15441168000 n ((n - 1) ) (n - 6) + --------------- - -------------- + ------------------------------------ n 5 n 5 4 n 3 14 3 n (n - 3) n (n - 3) (n - 1) (n ) (n - 6) 13 n 2 n 270628124410 n ((n - 1) ) (n - 6) - ------------------------------------- 4 n 3 14 9 (n - 1) (n ) (n - 6) 9 n 2 n 25 n 2 n 3459456000 n ((n - 1) ) (n - 6) 35 n ((n - 1) ) (n - 6) - ---------------------------------- - --------------------------- 4 n 3 14 4 n 3 14 (n - 1) (n ) (n - 6) 72 (n - 1) (n ) (n - 6) 23 n 2 n 24 n 2 n 4165 n ((n - 1) ) (n - 6) 47 n ((n - 1) ) (n - 6) - ----------------------------- + --------------------------- 4 n 3 14 4 n 3 14 6 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 14 n n 13 n n 1135 n (n - 1) (n - 3) 14891 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n n 11 n n 22183 n (n - 1) (n - 3) 309886 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 222520 n (n - 1) (n - 3) 976688 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 307544 n (n - 1) (n - 3) 56128 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 17 n n 13440 n (n - 1) (n - 3) n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n n ((n - 1) ) (n - 2) 28 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 16 n 6 5 16 n 6 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 116 n ((n - 1) ) (n - 2) 842 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 16 n 6 5 16 n 6 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 3949 n ((n - 1) ) (n - 2) 12490 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 16 n 6 5 16 n 6 5 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 80828 n ((n - 1) ) (n - 2) 117224 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 16 n 6 5 16 n 6 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 12128 n ((n - 1) ) (n - 2) 6528 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 16 n 6 5 16 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 20 n 4 n 1536 n ((n - 1) ) (n - 2) 77884 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 16 n 6 5 14 n 5 5 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 46480 n ((n - 1) ) (n - 3) 171800 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 46176 n ((n - 1) ) (n - 3) 21888 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 26 n 4 n 4608 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 5 n ((n - 1) ) (n - 3) 202 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 15 n 13 n n (n - 6) 2161 n (n - 6) 514183 n (n - 6) + -------------- + ----------------- + ------------------- n 11 n 11 n 11 6 n (n - 6) 6 n (n - 6) 6 n (n - 6) 14 n 16 n 10 n 13563 n (n - 6) 23 n (n - 6) 48922489 n (n - 6) - ------------------ - --------------- - --------------------- n 11 n 11 n 11 2 n (n - 6) 2 n (n - 6) 2 n (n - 6) 12 n 6 n 5 n 1536469 n (n - 6) 629771224 n (n - 6) 570814080 n (n - 6) - -------------------- - --------------------- + --------------------- n 11 n 11 n 11 2 n (n - 6) n (n - 6) n (n - 6) 11 n 8 n 9 n 30201083 n (n - 6) 236784504 n (n - 6) 265468918 n (n - 6) + --------------------- - --------------------- + --------------------- n 11 n 11 n 11 6 n (n - 6) n (n - 6) 3 n (n - 6) 4 n 7 n 3 n 305712000 n (n - 6) 1381514128 n (n - 6) 72576000 n (n - 6) - --------------------- + ---------------------- + -------------------- n 11 n 11 n 11 n (n - 6) 3 n (n - 6) n (n - 6) 14 n 3 n 13 n 3 n 1402880 n ((n - 1) ) (n - 5) 157696 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 3 n 22 n 3 n 24576 n ((n - 1) ) (n - 5) 4055459 n ((n - 1) ) (n - 5) - ------------------------------ - -------------------------------- 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 21 n 3 n 20 n 3 n 7958965 n ((n - 1) ) (n - 5) 12195800 n ((n - 1) ) (n - 5) + -------------------------------- - --------------------------------- 15 n 4 5 15 n 4 5 162 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 5) 23 n ((n - 1) ) (n - 5) - ---------------------------- + ---------------------------- 15 n 4 5 15 n 4 5 324 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 5) 26 n 3 n 28 n 6 n 985 n ((n - 1) ) (n - 5) 2553377 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------------- 15 n 4 5 18 n 7 8 324 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 28639 n ((n - 1) ) (n - 6) 500839 n ((n - 1) ) (n - 6) + ------------------------------ - ------------------------------- 10 n 3 8 10 n 3 8 18 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 6) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 1195 n ((n - 1) ) (n - 4) 5689 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 166165 n ((n - 1) ) (n - 4) 129801 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 10799189 n ((n - 1) ) (n - 5) 48906053 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 12 n 4 8 12 n 4 8 54 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 20 n 3 n 19 n 3 n 86002873 n ((n - 1) ) (n - 5) 235625596 n ((n - 1) ) (n - 5) - --------------------------------- + ---------------------------------- 12 n 4 8 12 n 4 8 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 18 n 3 n 17 n 3 n 501021040 n ((n - 1) ) (n - 5) 817745224 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 12 n 4 8 12 n 4 8 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 16 n 3 n 15 n 3 n 111525520 n ((n - 1) ) (n - 5) 99442688 n ((n - 1) ) (n - 5) - ---------------------------------- + --------------------------------- 12 n 4 8 12 n 4 8 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 20228608 n ((n - 1) ) (n - 5) 7538688 n ((n - 1) ) (n - 5) - --------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 3 n 28 n 3 n 1290240 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 5) - -------------------------------- - --------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 27 n 3 n 26 n 3 n 55 n ((n - 1) ) (n - 5) 1399 n ((n - 1) ) (n - 5) + --------------------------- - ----------------------------- 12 n 4 8 12 n 4 8 54 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 25 n 3 n 24 n 3 n 21847 n ((n - 1) ) (n - 5) 234433 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------- 12 n 4 8 12 n 4 8 54 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 23 n 3 n 9 n 8 n 1832869 n ((n - 1) ) (n - 5) n (n - 4) 15 n (n - 4) + -------------------------------- + ----------- - -------------- 12 n 4 8 n 5 n 5 54 (n - 1) (n ) (n - 5) n (n - 4) n (n - 4) 7 n 6 n 5 n 4 n 91 n (n - 4) 285 n (n - 4) 484 n (n - 4) 420 n (n - 4) + -------------- - --------------- + --------------- - --------------- n 5 n 5 n 5 n 5 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 3 n 26 n 2 n 144 n (n - 4) n ((n - 1) ) (n - 6) + --------------- + ---------------------------- n 5 4 n 3 14 n (n - 4) 216 (n - 1) (n ) (n - 6) 20 n 2 n 19 n 2 n 121893733 n ((n - 1) ) (n - 6) 341916575 n ((n - 1) ) (n - 6) + ---------------------------------- - ---------------------------------- 4 n 3 14 4 n 3 14 54 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 18 n 2 n 2971219537 n ((n - 1) ) (n - 6) + ----------------------------------- 4 n 3 14 24 (n - 1) (n ) (n - 6) 17 n 2 n 22 n 2 n 15068478425 n ((n - 1) ) (n - 6) 504797 n ((n - 1) ) (n - 6) - ------------------------------------ + ------------------------------- 4 n 3 14 4 n 3 14 24 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 6) 21 n 2 n 16 n 2 n 2464735 n ((n - 1) ) (n - 6) 22274819242 n ((n - 1) ) (n - 6) - -------------------------------- + ------------------------------------ 4 n 3 14 4 n 3 14 12 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 12 n 2 n 37160736024 n ((n - 1) ) (n - 6) + ------------------------------------ 4 n 3 14 (n - 1) (n ) (n - 6) 11 n 2 n 30941432480 n ((n - 1) ) (n - 6) - ------------------------------------ 4 n 3 14 (n - 1) (n ) (n - 6) 14 n 2 n 471031737548 n ((n - 1) ) (n - 6) + ------------------------------------- 4 n 3 14 27 (n - 1) (n ) (n - 6) 15 n 2 n 15 n 5 22592523590 n ((n - 1) ) (n - 6) 4 n ((n - 1) ) - ------------------------------------ - ----------------- 4 n 3 14 13 n 5 3 (n - 1) (n ) (n - 6) (n - 1) (n ) 24 n 6 23 n 6 22 n 6 n ((n - 1) ) 2 n ((n - 1) ) 133 n ((n - 1) ) - ----------------- + ----------------- - ------------------- 18 n 6 18 n 6 18 n 6 9 (n - 1) (n ) (n - 1) (n ) 9 (n - 1) (n ) 21 n 6 20 n 6 19 n 6 172 n ((n - 1) ) 1108 n ((n - 1) ) 416 n ((n - 1) ) + ------------------- - -------------------- + ------------------- 18 n 6 18 n 6 18 n 6 3 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 14 n 13 n 12 n 7 n (n - 6) 49 n (n - 6) 5495 n (n - 6) + -------------- - --------------- + ----------------- n 8 n 8 n 8 36 n (n - 6) 6 n (n - 6) 36 n (n - 6) 11 n 10 n 9 n 10045 n (n - 6) 143507 n (n - 6) 116669 n (n - 6) - ------------------ + ------------------- - ------------------ n 8 n 8 n 8 6 n (n - 6) 12 n (n - 6) 2 n (n - 6) 8 n 7 n 6 n 7125965 n (n - 6) 2797655 n (n - 6) 6707743 n (n - 6) + ------------------- - ------------------- + ------------------- n 8 n 8 n 8 36 n (n - 6) 6 n (n - 6) 9 n (n - 6) 5 n 4 n 3 n 2301922 n (n - 6) 455840 n (n - 6) 117600 n (n - 6) - ------------------- + ------------------ - ------------------ n 8 n 8 n 8 3 n (n - 6) n (n - 6) n (n - 6) 16 n 3 n 15 n 3 n 445040 n ((n - 1) ) (n - 3) 1953376 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 615088 n ((n - 1) ) (n - 3) 336768 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 80640 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 24 n n 23 n n n (n - 1) (n - 7) 7 n (n - 1) (n - 7) - ---------------------------- + --------------------------- 5 n 2 11 5 n 2 11 324 (n - 1) (n ) (n - 7) 27 (n - 1) (n ) (n - 7) 22 n n 21 n 2 n 91 n (n - 1) (n - 7) 2 n ((n - 1) ) (n - 4) - -------------------------- + -------------------------- 5 n 2 11 7 n 3 8 9 (n - 1) (n ) (n - 7) 3 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 28 n ((n - 1) ) (n - 4) 1582 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n 3 n 11196630848 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 4 14 3 (n - 1) (n ) (n - 5) 17 n 3 n 137096910860 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 4 14 81 (n - 1) (n ) (n - 5) 18 n 3 n 53913702752 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 4 14 81 (n - 1) (n ) (n - 5) 13 n 3 n 1966570240 n ((n - 1) ) (n - 5) + ----------------------------------- 6 n 4 14 (n - 1) (n ) (n - 5) 16 n 3 n 85526306932 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 4 14 27 (n - 1) (n ) (n - 5) 12 n 3 n 14 n n 461260800 n ((n - 1) ) (n - 5) 1400 n (n - 1) (n - 5) - ---------------------------------- - -------------------------- 6 n 4 14 2 n 2 8 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 13 n n 12 n n 13090 n (n - 1) (n - 5) 26019 n (n - 1) (n - 5) + --------------------------- - --------------------------- 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 103243 n (n - 1) (n - 5) 2480030 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 4385780 n (n - 1) (n - 5) 1634024 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 2 n 2 8 2 n 2 8 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 6 n n 345856 n (n - 1) (n - 5) 94080 n (n - 1) (n - 5) + --------------------------- - -------------------------- 2 n 2 8 2 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 4 n 23 n 4 n 6126353 n ((n - 1) ) (n - 4) 8133547 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 37201591 n ((n - 1) ) (n - 4) 14469872 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 14 n 5 8 14 n 5 8 18 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 76872056 n ((n - 1) ) (n - 4) 11264932 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 14 n 5 8 14 n 5 8 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 10703032 n ((n - 1) ) (n - 4) 6909216 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 2706048 n ((n - 1) ) (n - 4) 483840 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 102241 n ((n - 1) ) (n - 3) 1222946 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 17 n 5 5 17 n 5 5 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 1225544 n ((n - 1) ) (n - 3) 8371424 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 17 n 5 5 17 n 5 5 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 626 n ((n - 1) ) (n - 2) 6410 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 14767 n ((n - 1) ) (n - 2) 72707 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 22 n 4 n 17 n 3 n 786704 n ((n - 1) ) (n - 2) 8375948 n ((n - 1) ) (n - 3) + ------------------------------- + -------------------------------- 17 n 5 5 15 n 4 5 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 31940216 n ((n - 1) ) (n - 3) 9718016 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 668416 n ((n - 1) ) (n - 3) 250880 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 3 n 18 n 2 n 14336 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------- 15 n 4 5 4 n 3 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 77 n ((n - 1) ) (n - 4) 546 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 4361 n ((n - 1) ) (n - 4) 43169 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 137053 n ((n - 1) ) (n - 4) 417697 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 174034 n ((n - 1) ) (n - 4) 120876 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 4 n 3 8 4 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 35280 n ((n - 1) ) (n - 4) 7 n (n - 1) (n - 5) - ----------------------------- - ------------------------- 4 n 3 8 2 n 2 8 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 15 n n 22 n 4 n 259 n (n - 1) (n - 5) 4 n ((n - 1) ) (n - 2) + ------------------------- + -------------------------- 2 n 2 8 11 n 5 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 76 n ((n - 1) ) (n - 2) 604 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 11 n 5 5 11 n 5 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 2596 n ((n - 1) ) (n - 2) 6496 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 5 5 11 n 5 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 9424 n ((n - 1) ) (n - 2) 2432 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 5 5 11 n 5 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 4 n 17 n 3 n 256 n ((n - 1) ) (n - 2) 634 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 11 n 5 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1948 n ((n - 1) ) (n - 3) 3736 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 13072 n ((n - 1) ) (n - 3) 2816 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 9 n 4 5 9 n 4 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 4 n 768 n ((n - 1) ) (n - 3) 4786256 n ((n - 1) ) (n - 3) - ---------------------------- - -------------------------------- 9 n 4 5 17 n 5 5 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 18251552 n ((n - 1) ) (n - 3) 5553152 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 381952 n ((n - 1) ) (n - 3) 143360 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 17 n 5 5 17 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 19 n 4 n 24576 n ((n - 1) ) (n - 3) 6028816 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 17 n 5 5 17 n 5 5 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2064640 n ((n - 1) ) (n - 2) 52736 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------ 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 65536 n ((n - 1) ) (n - 2) 4096 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 17 n 5 5 17 n 5 5 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 2103224 n ((n - 1) ) (n - 2) 4164976 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 17 n 5 5 17 n 5 5 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 700 n ((n - 1) ) (n - 3) 2554 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 17 n 5 5 17 n 5 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 25 n 4 n 18 n 4 n 57121 n ((n - 1) ) (n - 3) 694144 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 17 n 5 5 20 n 5 2 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 7 n ((n - 1) ) (n - 2) 259 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 20 n 5 2 20 n 5 2 1296 (n - 1) (n ) (n - 2) 1296 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 2191 n ((n - 1) ) (n - 2) 22435 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 20 n 5 2 20 n 5 2 648 (n - 1) (n ) (n - 2) 648 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 103369 n ((n - 1) ) (n - 2) 508949 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 20 n 5 2 20 n 5 2 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 344183 n ((n - 1) ) (n - 2) 1840321 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 20 n 5 2 20 n 5 2 81 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 1822177 n ((n - 1) ) (n - 2) 2637607 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 20 n 5 2 20 n 5 2 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 903280 n ((n - 1) ) (n - 2) 23072 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 20 n 5 2 20 n 5 2 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 47744 n ((n - 1) ) (n - 3) 17920 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 20 n 5 2 20 n 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 16 n 4 n 3072 n ((n - 1) ) (n - 3) 28672 n ((n - 1) ) (n - 2) + ----------------------------- + ------------------------------ 20 n 5 2 20 n 5 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 2) 15 n 4 n 29 n 5 n 1792 n ((n - 1) ) (n - 2) 313 n ((n - 1) ) (n - 2) - ----------------------------- - ---------------------------- 20 n 5 2 19 n 6 5 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 3205 n ((n - 1) ) (n - 2) 14767 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 6 5 19 n 6 5 27 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 26 n 5 n 31 n 5 n 72707 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------ - --------------------------- 19 n 6 5 19 n 6 5 18 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 30 n 5 n 25 n 5 n 37 n ((n - 1) ) (n - 2) 393352 n ((n - 1) ) (n - 2) + --------------------------- - ------------------------------- 19 n 6 5 19 n 6 5 54 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 1032320 n ((n - 1) ) (n - 2) 79104 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------ 19 n 6 5 19 n 6 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 24 n 5 n 2082488 n ((n - 1) ) (n - 2) 1051612 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 19 n 6 5 19 n 6 5 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 19 n 5 n 22 n 5 n 32768 n ((n - 1) ) (n - 2) 3014408 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------------- 19 n 6 5 19 n 6 5 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 6144 n ((n - 1) ) (n - 2) 1041244 n ((n - 1) ) (n - 2) + ----------------------------- - -------------------------------- 19 n 6 5 22 n 6 2 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 1507204 n ((n - 1) ) (n - 2) 516160 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 22 n 6 2 22 n 6 2 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 39552 n ((n - 1) ) (n - 2) 16384 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 22 n 6 2 22 n 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 29 n 4 n 3072 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ----------------------------- + ---------------------------- 22 n 6 2 20 n 5 2 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 13 n ((n - 1) ) (n - 3) 175 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 20 n 5 2 20 n 5 2 72 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 1277 n ((n - 1) ) (n - 3) 57121 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 20 n 5 2 20 n 5 2 36 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 102241 n ((n - 1) ) (n - 3) 611473 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 20 n 5 2 20 n 5 2 72 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 153193 n ((n - 1) ) (n - 3) 1046428 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 20 n 5 2 20 n 5 2 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 598282 n ((n - 1) ) (n - 3) 2281444 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 20 n 5 2 20 n 5 2 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 9216 n ((n - 1) ) (n - 5) 3205 n ((n - 1) ) (n - 5) - ---------------------------- - ----------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 14767 n ((n - 1) ) (n - 5) 72707 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 25 n 5 n 24 n 5 n 935 n ((n - 1) ) (n - 2) 3717 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 13 n 6 8 13 n 6 8 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 14749 n ((n - 1) ) (n - 2) 177145 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 13 n 6 8 13 n 6 8 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 313270 n ((n - 1) ) (n - 2) 116716 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 6 8 13 n 6 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 24704 n ((n - 1) ) (n - 2) 6720 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 6 8 13 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 13 n 6 8 13 n 6 8 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 26 n 5 n 20 n n 100 n ((n - 1) ) (n - 2) n (n - 1) (n - 6) - ---------------------------- - -------------------------- 13 n 6 8 2 n 2 11 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 6) 18 n n 16 n n 2161 n (n - 1) (n - 6) 514183 n (n - 1) (n - 6) - -------------------------- - ---------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 17 n n 19 n n 4521 n (n - 1) (n - 6) 23 n (n - 1) (n - 6) + -------------------------- + -------------------------- 2 n 2 11 2 n 2 11 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 13 n n 15 n n 48922489 n (n - 1) (n - 6) 1536469 n (n - 1) (n - 6) + ------------------------------ + ----------------------------- 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 9 n n 8 n n 1259542448 n (n - 1) (n - 6) 380542720 n (n - 1) (n - 6) + ------------------------------- - ------------------------------ 2 n 2 11 2 n 2 11 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 11 n n 30201083 n (n - 1) (n - 6) 157856336 n (n - 1) (n - 6) - ------------------------------ + ------------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n n 7 n n 530937836 n (n - 1) (n - 6) 203808000 n (n - 1) (n - 6) - ------------------------------- + ------------------------------ 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 2763028256 n (n - 1) (n - 6) 48384000 n (n - 1) (n - 6) - -------------------------------- - ----------------------------- 2 n 2 11 2 n 2 11 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 23 n 2 n 21 n 2 n 6884 n ((n - 1) ) (n - 6) 383216 n ((n - 1) ) (n - 6) - ----------------------------- - ------------------------------- 7 n 3 11 7 n 3 11 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 19 n 2 n 20 n 2 n 183587396 n ((n - 1) ) (n - 6) 86031040 n ((n - 1) ) (n - 6) - ---------------------------------- + --------------------------------- 7 n 3 11 7 n 3 11 27 (n - 1) (n ) (n - 6) 81 (n - 1) (n ) (n - 6) 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 4) 23 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n 2167 n ((n - 1) ) (n - 4) 13691 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 525229 n ((n - 1) ) (n - 4) 1599437 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 32341661 n ((n - 1) ) (n - 4) 54573673 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 313688287 n ((n - 1) ) (n - 4) 303186356 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n 3 n 19 n 2 n 1978299856 n ((n - 1) ) (n - 4) 23992 n ((n - 1) ) (n - 5) - ----------------------------------- - ------------------------------ 9 n 4 11 7 n 3 8 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 22318 n ((n - 1) ) (n - 5) 396052 n ((n - 1) ) (n - 5) + ------------------------------ - ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 5106754 n ((n - 1) ) (n - 5) 16138576 n ((n - 1) ) (n - 5) + -------------------------------- - --------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 37472960 n ((n - 1) ) (n - 5) 63080672 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 24911776 n ((n - 1) ) (n - 5) 6546048 n ((n - 1) ) (n - 5) + --------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 3070464 n ((n - 1) ) (n - 5) 645120 n ((n - 1) ) (n - 5) + -------------------------------- - ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 2 n 21 n 2 n 2 n ((n - 1) ) (n - 5) 92 n ((n - 1) ) (n - 5) + -------------------------- - --------------------------- 7 n 3 8 7 n 3 8 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 20 n 2 n 18 n 3 n 1918 n ((n - 1) ) (n - 5) 6578840 n ((n - 1) ) (n - 4) + ----------------------------- + -------------------------------- 7 n 3 8 15 n 4 5 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 30663928 n ((n - 1) ) (n - 4) 11902352 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 15 n 4 5 15 n 4 5 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 3349504 n ((n - 1) ) (n - 4) 644608 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 227328 n ((n - 1) ) (n - 4) 36864 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1507204 n ((n - 1) ) (n - 2) 516160 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 15 n 4 5 15 n 4 5 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 13184 n ((n - 1) ) (n - 2) 16384 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 3 n 27 n 3 n 1024 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 4) + ----------------------------- - --------------------------- 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n 7 n ((n - 1) ) (n - 4) 817 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 1627 n ((n - 1) ) (n - 4) 80107 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 79681 n ((n - 1) ) (n - 4) 2143115 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 20 n 3 n 17 n n 1224245 n ((n - 1) ) (n - 4) 5597 n (n - 1) (n - 6) + -------------------------------- + -------------------------- 15 n 4 5 5 n 2 8 9 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 6) 16 n n 15 n n 160411 n (n - 1) (n - 6) 365411 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 6) 6 (n - 1) (n ) (n - 6) 14 n n 13 n n 5523767 n (n - 1) (n - 6) 6945391 n (n - 1) (n - 6) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 18 (n - 1) (n ) (n - 6) 6 (n - 1) (n ) (n - 6) 12 n n 11 n n 29541460 n (n - 1) (n - 6) 20870456 n (n - 1) (n - 6) - ------------------------------ + ------------------------------ 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 10 n n 9 n n 97534672 n (n - 1) (n - 6) 36049256 n (n - 1) (n - 6) - ------------------------------ + ----------------------------- 5 n 2 8 5 n 2 8 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 8 n n 7 n n 8950176 n (n - 1) (n - 6) 3999360 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 6 n n 26 n 4 n 806400 n (n - 1) (n - 6) n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 5 n 2 8 8 n 5 11 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 19 n ((n - 1) ) (n - 3) 715 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 5 11 8 n 5 11 12 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 1155 n ((n - 1) ) (n - 3) 64691 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 8 n 5 11 8 n 5 11 2 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 135289 n ((n - 1) ) (n - 3) 1305260 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 8 n 5 11 8 n 5 11 4 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1270280 n ((n - 1) ) (n - 3) 7393144 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 5 11 8 n 5 11 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1003772 n ((n - 1) ) (n - 3) 691280 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 8 n 5 11 8 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 24 n 3 n 201600 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ------------------------------- - -------------------------- 8 n 5 11 6 n 4 11 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 20 n ((n - 1) ) (n - 4) 1601 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 6 n 4 11 6 n 4 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 8360 n ((n - 1) ) (n - 4) 85481 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 4 11 6 n 4 11 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 199980 n ((n - 1) ) (n - 4) 8873843 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 6 n 4 11 6 n 4 11 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 4) 11 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 2 n 22 n 3 n 247 n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 3) + ---------------------------- + --------------------------- 10 n 3 5 9 n 4 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 674 n ((n - 1) ) (n - 3) 2270 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 14891 n ((n - 1) ) (n - 3) 66549 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 22 n 4 n 619772 n ((n - 1) ) (n - 3) 627376574 n ((n - 1) ) (n - 4) - ------------------------------- + ---------------------------------- 9 n 4 8 11 n 5 11 3 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 4) 21 n 4 n 20 n 4 n 606372712 n ((n - 1) ) (n - 4) 3956599712 n ((n - 1) ) (n - 4) - ---------------------------------- + ----------------------------------- 11 n 5 11 11 n 5 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 2111670736 n ((n - 1) ) (n - 4) 267449248 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 11 n 5 11 11 n 5 11 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 204622592 n ((n - 1) ) (n - 4) 31260160 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 11 n 5 11 11 n 5 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 24 n 3 n 6451200 n ((n - 1) ) (n - 4) 689521 n ((n - 1) ) (n - 5) - -------------------------------- - ------------------------------- 11 n 5 11 9 n 4 11 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 5) 22 n 3 n 23 n 3 n 51534905 n ((n - 1) ) (n - 5) 6899227 n ((n - 1) ) (n - 5) - --------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 25 n 3 n 19 n 3 n 49741 n ((n - 1) ) (n - 5) 2164312216 n ((n - 1) ) (n - 5) + ------------------------------ + ----------------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 21 n 3 n 15 n 3 n 293087663 n ((n - 1) ) (n - 5) 637209792 n ((n - 1) ) (n - 5) + ---------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 20 n 3 n 456135424 n ((n - 1) ) (n - 5) 641130325 n ((n - 1) ) (n - 5) - ---------------------------------- - ---------------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 17 n 3 n 11080705528 n ((n - 1) ) (n - 5) + ------------------------------------ 9 n 4 11 27 (n - 1) (n ) (n - 5) 18 n 3 n 13 n 3 n 5616536128 n ((n - 1) ) (n - 5) 197237760 n ((n - 1) ) (n - 5) - ----------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 3 n 12 n 3 n 5426863088 n ((n - 1) ) (n - 5) 38707200 n ((n - 1) ) (n - 5) - ----------------------------------- - --------------------------------- 9 n 4 11 9 n 4 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 27 n 3 n 26 n 3 n 73 n ((n - 1) ) (n - 5) 2443 n ((n - 1) ) (n - 5) + --------------------------- - ----------------------------- 9 n 4 11 9 n 4 11 54 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 28 n 3 n 30 n 4 n n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 9 n 4 11 11 n 5 11 54 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 4) 29 n 4 n 28 n 4 n 23 n ((n - 1) ) (n - 4) 2167 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 11 n 5 11 11 n 5 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 27 n 4 n 26 n 4 n 13691 n ((n - 1) ) (n - 4) 525229 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 11 n 5 11 11 n 5 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 25 n 4 n 24 n 4 n 1599437 n ((n - 1) ) (n - 4) 32341661 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 11 n 5 11 11 n 5 11 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 23 n 4 n 21 n 3 n 54573673 n ((n - 1) ) (n - 4) 2944 n ((n - 1) ) (n - 4) - --------------------------------- + ----------------------------- 11 n 5 11 9 n 4 8 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 21701 n ((n - 1) ) (n - 4) 111222 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 1218713 n ((n - 1) ) (n - 4) 1064812 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 5958736 n ((n - 1) ) (n - 4) 2568464 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 2182032 n ((n - 1) ) (n - 4) 1090944 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 19 n 2 n 241920 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------- 9 n 4 8 10 n 3 5 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 7 n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 421 n ((n - 1) ) (n - 2) 3949 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 6245 n ((n - 1) ) (n - 2) 20207 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 29306 n ((n - 1) ) (n - 2) 3032 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1632 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n 13 n (n - 1) (n - 3) 337 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 8 5 n 2 8 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 7 n (n - 1) (n - 4) 77 n (n - 1) (n - 4) - ------------------------- + ------------------------ 2 n 2 8 2 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 11 n 10 n 1092 n (n - 1) (n - 4) 7 n (n - 3) 35 n (n - 3) - -------------------------- + -------------- - --------------- 2 n 2 8 n 8 n 8 (n - 1) (n ) (n - 4) 36 n (n - 3) 6 n (n - 3) 9 n 8 n 7 n 147 n (n - 3) 1519 n (n - 3) 24941 n (n - 3) + --------------- - ---------------- + ----------------- n 8 n 8 n 8 2 n (n - 3) 3 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 31115 n (n - 3) 68831 n (n - 3) 6062 n (n - 3) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 6 n (n - 3) 9 n (n - 3) n (n - 3) 3 n 28 n 3 n 1960 n (n - 3) n ((n - 1) ) (n - 5) + ---------------- - ---------------------------- n 8 6 n 4 14 n (n - 3) 324 (n - 1) (n ) (n - 5) 26 n 3 n 27 n 3 n 1144 n ((n - 1) ) (n - 5) 25 n ((n - 1) ) (n - 5) - ----------------------------- + --------------------------- 6 n 4 14 6 n 4 14 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 23 n 3 n 22 n 3 n 8099455 n ((n - 1) ) (n - 5) 81396458 n ((n - 1) ) (n - 5) + -------------------------------- - --------------------------------- 6 n 4 14 6 n 4 14 81 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 21 n 3 n 618767435 n ((n - 1) ) (n - 5) + ---------------------------------- 6 n 4 14 81 (n - 1) (n ) (n - 5) 20 n 3 n 25 n 3 n 14365627133 n ((n - 1) ) (n - 5) 31765 n ((n - 1) ) (n - 5) - ------------------------------------ + ------------------------------ 6 n 4 14 6 n 4 14 324 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 24 n 3 n 19 n 3 n 1196741 n ((n - 1) ) (n - 5) 15947042540 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------------ 6 n 4 14 6 n 4 14 162 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 15 n 3 n 12624968240 n ((n - 1) ) (n - 5) + ------------------------------------ 6 n 4 14 3 (n - 1) (n ) (n - 5) and in Maple notation 1/216*n^34*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2-37/216*n^33*((n-1)^n)^6 /(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2+313/108*n^32*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-\ 2)^n/(n-2)^2-3205/108*n^31*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2+14767/ 72*n^30*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2-72707/72*n^29*((n-1)^n)^6/ (n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2+98338/27*n^28*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-\ 2)^n/(n-2)^2-262903/27*n^27*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2+520622 /27*n^26*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2-753602/27*n^25*((n-1)^n)^ 6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2+258080/9*n^24*((n-1)^n)^6/(n-1)^24/(n^n)^7*( n-2)^n/(n-2)^2-19776*n^23*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2+8192*n^ 22*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^2-1536*n^21*((n-1)^n)^6/(n-1)^24/ (n^n)^7*(n-2)^n/(n-2)^2-1/324*n^32*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2 +13/108*n^31*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2-175/81*n^30*((n-1)^n) ^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2+1277/54*n^29*((n-1)^n)^5/(n-1)^22/(n^n)^6*( n-3)^n/(n-3)^2-57121/324*n^28*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2+ 102241/108*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2-611473/162*n^26*(( n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2+306386/27*n^25*((n-1)^n)^5/(n-1)^22/ (n^n)^6*(n-3)^n/(n-3)^2-2092856/81*n^24*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n -3)^2+1196564/27*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2-4562888/81*n ^22*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2+1388288/27*n^21*((n-1)^n)^5/(n -1)^22/(n^n)^6*(n-3)^n/(n-3)^2-95488/3*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^ n/(n-3)^2+35840/3*n^19*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2-2048*n^18*( (n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^2-1627/216*n^27*((n-1)^n)^4/(n-1)^20/ (n^n)^5*(n-4)^n/(n-4)^2+80107/1296*n^26*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n -4)^2-79681/216*n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2+2143115/1296* n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2-1224245/216*n^23*((n-1)^n)^4/ (n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2+2425165/162*n^22*((n-1)^n)^4/(n-1)^20/(n^n)^5* (n-4)^n/(n-4)^2+418688/9*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2-\ 80576/3*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2+9472*n^16*((n-1)^n)^4 /(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2-1536*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^ n/(n-4)^2-822355/27*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2+3832991/ 81*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2-1487794/27*n^19*((n-1)^n)^ 4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2+1/1296*n^30*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-\ 4)^n/(n-4)^2-7/216*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2+817/1296*n ^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^2+626/81*n^32*((n-1)^n)^6/(n-1)^ 21/(n^n)^7*(n-2)^n/(n-2)^5-6410/81*n^31*((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n -2)^5+14767/27*n^30*((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5-72707/27*n^29* ((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5+1/81*n^34*((n-1)^n)^6/(n-1)^21/(n^ n)^7*(n-2)^n/(n-2)^5-37/81*n^33*((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5+ 786704/81*n^28*((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5+2064640/27*n^24*((n -1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5-52736*n^23*((n-1)^n)^6/(n-1)^21/(n^n) ^7*(n-2)^n/(n-2)^5+4164976/81*n^26*((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5 -2103224/81*n^27*((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5+65536/3*n^22*((n-\ 1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5-6028816/81*n^25*((n-1)^n)^6/(n-1)^21/( n^n)^7*(n-2)^n/(n-2)^5-4096*n^21*((n-1)^n)^6/(n-1)^21/(n^n)^7*(n-2)^n/(n-2)^5+ 2393128/9*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5+n^13*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-2)^n/(n-2)^5-10*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2) ^5+35*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-50*n^10*((n-1)^n)^2/(n-1 )^4/(n^n)^3*(n-2)^n/(n-2)^5+24*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-2)^n/(n-2)^5-\ 9125776/27*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5+2776576/9*n^21*((n -1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5-190976*n^20*((n-1)^n)^5/(n-1)^19/(n^n )^6*(n-3)^n/(n-3)^5+71680*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5-\ 12288*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5-2*n^11*(n-1)^n/(n-1)^2/ (n^n)^2*(n-3)^n/(n-3)^5+24*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5-110*n^9 *(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+240*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^ n/(n-3)^5-248*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^5+96*n^6*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-3)^n/(n-3)^5-1/54*n^32*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^ 5+13/18*n^31*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5-350/27*n^30*((n-1)^n) ^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5+1277/9*n^29*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n -3)^n/(n-3)^5-57121/54*n^28*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5+102241 /18*n^27*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5-611473/27*n^26*((n-1)^n)^ 5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5+612772/9*n^25*((n-1)^n)^5/(n-1)^19/(n^n)^6*( n-3)^n/(n-3)^5-4185712/27*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^5-1/9 *n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+28/9*n^21*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^5-116/3*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2 )^5+842/3*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-3949/3*n^18*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+12490/3*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^5-80828/9*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+ 117224/9*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-12128*n^14*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+6528*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2 )^n/(n-2)^5-1536*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+272594/9*n^ 14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-162680/3*n^13*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^5+601300/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^5-53872*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+25536*n^10*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5376*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-3)^n/(n-3)^5+7/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-35/6*n^ 19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+707/9*n^18*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-3)^n/(n-3)^5-1253/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3) ^5+39431/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-11893*n^15*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-26/3*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n -3)^n/(n-3)^8+1348/9*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-4540/3*n^ 17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+29782/3*n^16*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-3)^n/(n-3)^8-44366*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8 +1239544/9*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-890080/3*n^13*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+3906752/9*n^12*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-3)^n/(n-3)^8-1230176/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+ 224512*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-53760*n^9*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+2/9*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-\ 3)^8-7/18*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+49/3*n^17*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-4)^n/(n-4)^8-5537/18*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-\ 1/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+19/9*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-2)^n/(n-2)^5-151/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+649/9*n^ 10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-1624/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*( n-2)^n/(n-2)^5+2356/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5-608/3*n^7*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^5+64*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-\ 2)^5+10304/3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-151907/6*n^14*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+129759*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^8-8530991/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+3726842/3*n^11*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-20855576/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^8+8989624/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-2545704*n^ 8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1272768*n^7*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^8-282240*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/9*n^18*(n-1 )^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+20/3*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/ (n-4)^11-1601/9*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+8360/3*n^15*(n-1) ^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-85481/3*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^ n/(n-4)^11+199980*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-8873843/9*n^12* (n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+10302160/3*n^11*(n-1)^n/(n-1)^2/(n^n)^ 2*(n-4)^n/(n-4)^11-75302656/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11+ 41617840/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-14810384*n^8*(n-1)^n/(n -1)^2/(n^n)^2*(n-4)^n/(n-4)^11+9101760*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4 )^11-2419200*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^11-4180*n^18*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+85481/2*n^17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4 )^n/(n-4)^11-299970*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+8873843/6 *n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-5151080*n^14*((n-1)^n)^2/(n-\ 1)^4/(n^n)^3*(n-4)^n/(n-4)^11+37651328/3*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4) ^n/(n-4)^11-20808920*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+22215576 *n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11-13652640*n^10*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-4)^n/(n-4)^11+3628800*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/ (n-4)^11+443783/9*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11-37028008/81*n^ 18*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11+7655109412/9*n^13*(n-1)^n/(n-1)^5/( n^n)^2*(n-7)^n/(n-7)^11+12165510592/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7) ^11-2648730880*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11+88118718688/27*n^11 *(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11-153332216956/81*n^12*(n-1)^n/(n-1)^5/ (n^n)^2*(n-7)^n/(n-7)^11+64/3*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+ 31484/3*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-1841/3*n^17*(n-1)^n/(n-1) ^2/(n^n)^2*(n-5)^n/(n-5)^11-1/3*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-\ 16073123/3*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-118921*n^15*(n-1)^n/(n -1)^2/(n^n)^2*(n-5)^n/(n-5)^11-210902512*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n -5)^11+205029888*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+941864*n^14*(n-1) ^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-198928576/3*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n -5)^n/(n-5)^11+66401852/3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11-\ 116478720*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+426064144/3*n^10*(n-1)^n /(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^11+29030400*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/ (n-5)^11+1057152000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11-38332480144/9* n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11-193536000*n^6*(n-1)^n/(n-1)^5/(n^ n)^2*(n-7)^n/(n-7)^11-5888*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+ 43402*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-222444*n^16*((n-1)^n)^2/ (n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+2437426/3*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4 )^n/(n-4)^8-2129624*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+11917472/3 *n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-5136928*n^12*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-4)^n/(n-4)^8+4364064*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n -4)^8-2181888*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+483840*n^9*((n-1 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n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8+124423/36*n^25*((n-1)^n)^4/(n -1)^14/(n^n)^5*(n-3)^n/(n-3)^8-66245/3*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^ n/(n-3)^8-9700660/27*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^5+525806/ 81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-1041244/81*n^17*((n-1)^n)^ 3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-7/324*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3 )^n/(n-3)^5+91/108*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-1225/81*n^ 24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5+8939/54*n^23*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-3)^n/(n-3)^5-399847/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n /(n-3)^5+715687/108*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-4280311/ 162*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5+2144702/27*n^19*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-14649992/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n) ^4*(n-3)^n/(n-3)^5-1/324*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+37/ 324*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-313/162*n^23*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+3205/162*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-\ 2)^n/(n-2)^5-14767/108*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+72707/ 108*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-196676/81*n^19*((n-1)^n)^ 3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5+31/4*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6) ^8*(n-6)^n+1/216*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^8*(n-6)^n-5/18*n^25*(( n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^8*(n-6)^n-4807/36*n^23*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-6)^n/(n-6)^8+92352*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-\ 43776*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+9216*n^12*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-1/3*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/( n-3)^5+10*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-404/3*n^21*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+1074*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 3)^n/(n-3)^5-5633*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+20388*n^18* ((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+169630/3*n^15*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-4)^n/(n-4)^5-124364*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4) ^5+590120/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-217976*n^12*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+160416*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-4)^n/(n-4)^5-70272*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+13824 *n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5-739*n^18*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-4)^n/(n-4)^5+8855/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4) ^5-37287/2*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+312742/27*n^22*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+10958731472/27*n^16*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-6)^n/(n-6)^11+305299885/9*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^ n/(n-6)^11+7284368768/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-\ 4955829760/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-1193325298/9*n^ 17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+143368233808/81*n^14*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-2900991568/3*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-6)^n/(n-6)^11+683264000*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-\ 65738407136/27*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-129024000*n^9* ((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+1/81*n^26*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-6)^n/(n-6)^11-26/27*n^25*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+ 104/3*n^24*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+842/3*n^13*(n-1)^n/(n-1 )^5/(n^n)^2*(n-5)^n/(n-5)^5-3949/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5 +12490/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5-80828/9*n^10*(n-1)^n/(n-1 )^5/(n^n)^2*(n-5)^n/(n-5)^5+117224/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 5-12128*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5+6528*n^7*(n-1)^n/(n-1)^5/(n ^n)^2*(n-5)^n/(n-5)^5-1536*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5-1/9*n^16 *(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5+28/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5 )^n/(n-5)^5-116/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^5+7/36*n^22*((n-1) ^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8-49/9*n^21*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-\ 2)^n/(n-2)^8+1127/18*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8-3430/9*n^ 19*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8+47383/36*n^18*((n-1)^n)^4/(n-1)^ 8/(n^n)^5*(n-2)^n/(n-2)^8-22981/9*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2 )^8+2541*n^16*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8-980*n^15*((n-1)^n)^4/ (n-1)^8/(n^n)^5*(n-2)^n/(n-2)^8-7/9*n^20*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n -3)^8+70/3*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-294*n^18*((n-1)^n)^ 3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+6076/3*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3) ^n/(n-3)^8-24941/3*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+62230/3*n^ 15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8-275324/9*n^14*((n-1)^n)^3/(n-1)^ 6/(n^n)^4*(n-3)^n/(n-3)^8+24248*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^ 8-7840*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-3)^n/(n-3)^8+7/6*n^17*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-3)^n/(n-3)^8-35*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3) ^8+441*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-3038*n^14*((n-1)^n)^2/( n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+24941/2*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n /(n-3)^8-31115*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+137662/3*n^11*( (n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8-36372*n^10*((n-1)^n)^2/(n-1)^4/(n^n) ^3*(n-3)^n/(n-3)^8+11760*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^8+1012*n ^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-3850*n^11*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^5+9580*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-46696/3*n^9*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+15888*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^5-9216*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+2304*n^6*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^5-2/3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5+16 *n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^5-168*n^13*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^5-2/3*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+38/3*n^18* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-302/3*n^17*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-2)^n/(n-2)^5+1298/3*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-\ 3248/3*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+4712/3*n^14*((n-1)^n)^3 /(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-1216*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/ (n-2)^5+384*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-1268*n^14*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+3896*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3) ^n/(n-3)^5-7472*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+26144/3*n^11*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-5632*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-3)^n/(n-3)^5+1536*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+4/3*n^17 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-28*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-3)^n/(n-3)^5+252*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+812/3/(n ^n)*n^6*(n-5)^n/(n-5)^5-1178/3/(n^n)*n^5*(n-5)^n/(n-5)^5+304/(n^n)*n^4*(n-5)^n/ (n-5)^5-96/(n^n)*n^3*(n-5)^n/(n-5)^5+1/36/(n^n)*n^15*(n-4)^n/(n-4)^11-5/3/(n^n) *n^14*(n-4)^n/(n-4)^11+1601/36/(n^n)*n^13*(n-4)^n/(n-4)^11-2090/3/(n^n)*n^12*(n -4)^n/(n-4)^11+85481/12/(n^n)*n^11*(n-4)^n/(n-4)^11-49995/(n^n)*n^10*(n-4)^n/(n -4)^11+8873843/36/(n^n)*n^9*(n-4)^n/(n-4)^11-2575540/3/(n^n)*n^8*(n-4)^n/(n-4)^ 11+18825664/9/(n^n)*n^7*(n-4)^n/(n-4)^11-10404460/3/(n^n)*n^6*(n-4)^n/(n-4)^11+ 3702596/(n^n)*n^5*(n-4)^n/(n-4)^11-2275440/(n^n)*n^4*(n-4)^n/(n-4)^11+604800/(n ^n)*n^3*(n-4)^n/(n-4)^11+1/6/(n^n)*n^10*(n-5)^n/(n-5)^5-19/6/(n^n)*n^9*(n-5)^n/ (n-5)^5+151/6/(n^n)*n^8*(n-5)^n/(n-5)^5-649/6/(n^n)*n^7*(n-5)^n/(n-5)^5+1/6*n^ 18*((n-1)^n)^5/(n-1)^13/(n^n)^5-3/2*n^17*((n-1)^n)^5/(n-1)^13/(n^n)^5+13/3*n^16 *((n-1)^n)^5/(n-1)^13/(n^n)^5-1792*n^24*((n-1)^n)^8/(n-1)^28/(n^n)^8-12241/72/( n^n)*n^19*(n-8)^n/(n-8)^14-7503073/108/(n^n)*n^17*(n-8)^n/(n-8)^14+865199/216/( n^n)*n^18*(n-8)^n/(n-8)^14-59/648/(n^n)*n^21*(n-8)^n/(n-8)^14+2161/432/(n^n)*n^ 20*(n-8)^n/(n-8)^14+33519369559/432/(n^n)*n^14*(n-8)^n/(n-8)^14-36420830303/72/ (n^n)*n^13*(n-8)^n/(n-8)^14+1140242874173/432/(n^n)*n^12*(n-8)^n/(n-8)^14-\ 2378715024439/216/(n^n)*n^11*(n-8)^n/(n-8)^14+595765883/648/(n^n)*n^16*(n-8)^n/ (n-8)^14-3076203169/324/(n^n)*n^15*(n-8)^n/(n-8)^14+1/1296/(n^n)*n^22*(n-8)^n/( n-8)^14+2960492111035/81/(n^n)*n^10*(n-8)^n/(n-8)^14+989215351624/3/(n^n)*n^6*( n-8)^n/(n-8)^14-250622467360/(n^n)*n^5*(n-8)^n/(n-8)^14+5223528283609/27/(n^n)* n^8*(n-8)^n/(n-8)^14-7737635439187/81/(n^n)*n^9*(n-8)^n/(n-8)^14+115583664000/( n^n)*n^4*(n-8)^n/(n-8)^14-2665443372058/9/(n^n)*n^7*(n-8)^n/(n-8)^14-\ 24216192000/(n^n)*n^3*(n-8)^n/(n-8)^14+2425383199012/27*n^11*(n-1)^n/(n-1)^2/(n ^n)^2*(n-7)^n/(n-7)^14-3382056022816/81*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n -7)^14+64070976000*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14-1305476913784/9 *n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14-13837824000*n^6*(n-1)^n/(n-1)^2/ (n^n)^2*(n-7)^n/(n-7)^14-317/18*n^22*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14-\ 654737/54*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14+5011/9*n^21*(n-1)^n/(n-\ 1)^2/(n^n)^2*(n-7)^n/(n-7)^14-1/324*n^24*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^ 14+37/108*n^23*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14+585704041/27*n^17*(n-1) ^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14-5706552137/36*n^16*(n-1)^n/(n-1)^2/(n^n)^2* (n-7)^n/(n-7)^14+32895795647/36*n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14-\ 224715582793/54*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14+3474329/18*n^19*( n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14-188441578/81*n^18*(n-1)^n/(n-1)^2/(n^n) ^2*(n-7)^n/(n-7)^14+134284324148/9*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^ 14+507811697248/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14-134059841920*n^8 *(n-1)^n/(n-1)^2/(n^n)^2*(n-7)^n/(n-7)^14+n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3 )^n/(n-3)^5-12*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5+55*n^12*((n-1)^ n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-120*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3) ^n/(n-3)^5+124*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-48*n^9*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-3)^n/(n-3)^5-2/3*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n -4)^5+10*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-182/3*n^10*(n-1)^n/(n-1)^ 2/(n^n)^2*(n-4)^n/(n-4)^5+190*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-968/3 *n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5+280*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^5-96*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^5-2/3*n^20*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5+14*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/ (n-3)^5-126*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^5-2024/3*n^15*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+7700/3*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-4)^n/(n-4)^5-19160/3*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+93392/9 *n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5-10592*n^11*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-4)^n/(n-4)^5+6144*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5 -1536*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+4/9*n^18*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-4)^n/(n-4)^5-32/3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4) ^5+112*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^5+9981767/108*n^20*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8-17150333/36*n^19*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-6)^n/(n-6)^8-2/3*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5+20/3 *n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5-70/3*n^14*((n-1)^n)^3/(n-1)^6 /(n^n)^4*(n-2)^n/(n-2)^5+100/3*n^13*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5 -16*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-2)^n/(n-2)^5-2/27*n^29*((n-1)^n)^4/(n-1 )^8/(n^n)^5*(n-4)^n/(n-4)^14+1/1296*n^30*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n -4)^14+976157/648*n^26*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14-2049047/108 *n^25*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14+28403947/162*n^24*((n-1)^n)^ 4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14-130511953/108*n^23*((n-1)^n)^4/(n-1)^8/(n^n) ^5*(n-4)^n/(n-4)^14+262/81*n^28*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14-\ 9191/108*n^27*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14+8101053389/1296*n^22 *((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14+211935851*n^18*((n-1)^n)^4/(n-1)^ 8/(n^n)^5*(n-4)^n/(n-4)^14-613011848/3*n^17*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n /(n-4)^14+5632436537/81*n^20*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14-\ 2615329717/108*n^21*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14+115703440*n^16 *((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^n/(n-4)^14-3914827189/27*n^19*((n-1)^n)^4/(n -1)^8/(n^n)^5*(n-4)^n/(n-4)^14-28828800*n^15*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-4)^ n/(n-4)^14-218327/54*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11+2189/9*n^21* (n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11+88912369/27*n^17*(n-1)^n/(n-1)^5/(n^n) ^2*(n-7)^n/(n-7)^11-672474677/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11+ 756281152/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11-8109646709/27*n^14*(n -1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^11+1/6*n^21*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-\ 4)^n/(n-4)^11-10*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+1601/6*n^19* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-4)^n/(n-4)^11+6515/162*n^25*((n-1)^n)^3/(n-1)^15 /(n^n)^4*(n-5)^n/(n-5)^5-119155/324*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/( n-5)^5+399257/162*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5+29269580/81 *n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5-54805004/81*n^18*((n-1)^n)^3 /(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5+79181384/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-5)^n/(n-5)^5-28828960/27*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5+ 7665920/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5-13157680/27*n^21*(( n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5+61327856/81*n^20*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-4)^n/(n-4)^5-23804704/27*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^ n/(n-4)^5+6699008/9*n^18*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5-1289216/3 *n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5+151552*n^16*((n-1)^n)^4/(n-1 )^17/(n^n)^5*(n-4)^n/(n-4)^5-24576*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n -4)^5+1/81*n^30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5-14/27*n^29*((n-1)^ n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5+817/81*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5* (n-4)^n/(n-4)^5-3254/27*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5+80107 /81*n^26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5-159362/27*n^25*((n-1)^n)^ 4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5+2143115/81*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5 *(n-4)^n/(n-4)^5-2448490/27*n^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5+ 19401320/81*n^22*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^5-7/1296*n^36*((n-1 )^n)^8/(n-1)^28/(n^n)^8+7/36*n^35*((n-1)^n)^8/(n-1)^28/(n^n)^8-2065/648*n^34*(( n-1)^n)^8/(n-1)^28/(n^n)^8+3395/108*n^33*((n-1)^n)^8/(n-1)^28/(n^n)^8-89789/432 *n^32*((n-1)^n)^8/(n-1)^28/(n^n)^8+17465/18*n^31*((n-1)^n)^8/(n-1)^28/(n^n)^8-\ 531181/162*n^30*((n-1)^n)^8/(n-1)^28/(n^n)^8+72730/9*n^29*((n-1)^n)^8/(n-1)^28/ (n^n)^8-1167607/81*n^28*((n-1)^n)^8/(n-1)^28/(n^n)^8+490000/27*n^27*((n-1)^n)^8 /(n-1)^28/(n^n)^8-45920/3*n^26*((n-1)^n)^8/(n-1)^28/(n^n)^8+23296/3*n^25*((n-1) ^n)^8/(n-1)^28/(n^n)^8+2219/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-6818 /3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+13076/3*n^9*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^5-45752/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+9856/3 *n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-896*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n -3)^n/(n-3)^5-7/9*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+49/3*n^13*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-147*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3 )^5-7/9*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+70/3*n^13*(n-1)^n/(n-1)^2/ (n^n)^2*(n-3)^n/(n-3)^8-294*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+6076/3 *n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-24941/3*n^10*(n-1)^n/(n-1)^2/(n^n )^2*(n-3)^n/(n-3)^8+62230/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8-275324/ 9*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+24248*n^7*(n-1)^n/(n-1)^2/(n^n)^2 *(n-3)^n/(n-3)^8-7840*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-3)^n/(n-3)^8+7/6/(n^n)*n^ 13*(n-5)^n/(n-5)^8-259/6/(n^n)*n^12*(n-5)^n/(n-5)^8+700/(n^n)*n^11*(n-5)^n/(n-5 )^8-6545/(n^n)*n^10*(n-5)^n/(n-5)^8+78057/2/(n^n)*n^9*(n-5)^n/(n-5)^8-309729/2/ (n^n)*n^8*(n-5)^n/(n-5)^8+1240015/3/(n^n)*n^7*(n-5)^n/(n-5)^8-2192890/3/(n^n)*n ^6*(n-5)^n/(n-5)^8+817012/(n^n)*n^5*(n-5)^n/(n-5)^8-518784/(n^n)*n^4*(n-5)^n/(n -5)^8+141120/(n^n)*n^3*(n-5)^n/(n-5)^8-537*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n -3)^n/(n-3)^5+5633/2*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-10194*n^ 21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-339260/9*n^18*((n-1)^n)^3/(n-1) ^12/(n^n)^4*(n-4)^n/(n-4)^5+248728/3*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/ (n-4)^5-1180240/9*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5+435952/3*n^ 15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5-106944*n^14*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^5+46848*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4 )^5-9216*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5-1/9*n^24*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5+11/3*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^ n/(n-4)^5-494/9*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5+1478/3*n^21*( (n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5-8855/3*n^20*((n-1)^n)^3/(n-1)^12/(n ^n)^4*(n-4)^n/(n-4)^5+12429*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^5-\ 25/12/(n^n)*n^17*(n-7)^n/(n-7)^11+1/36/(n^n)*n^18*(n-7)^n/(n-7)^11+758317/36/(n ^n)*n^14*(n-7)^n/(n-7)^11-854945/4/(n^n)*n^13*(n-7)^n/(n-7)^11+57857525/36/(n^n )*n^12*(n-7)^n/(n-7)^11-109324655/12/(n^n)*n^11*(n-7)^n/(n-7)^11+2575/36/(n^n)* n^16*(n-7)^n/(n-7)^11-17885/12/(n^n)*n^15*(n-7)^n/(n-7)^11+705771319/18/(n^n)*n ^10*(n-7)^n/(n-7)^11+724906904/(n^n)*n^6*(n-7)^n/(n-7)^11-621766080/(n^n)*n^5*( n-7)^n/(n-7)^11+2821817600/9/(n^n)*n^8*(n-7)^n/(n-7)^11-383861170/3/(n^n)*n^9*( n-7)^n/(n-7)^11+317808000/(n^n)*n^4*(n-7)^n/(n-7)^11-565466580/(n^n)*n^7*(n-7)^ n/(n-7)^11-72576000/(n^n)*n^3*(n-7)^n/(n-7)^11+42884471/216*n^18*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-4)^n/(n-4)^8-56934829/72*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -4)^n/(n-4)^8+260411137/108*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-\ 50644552/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+269052196/27*n^14* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-39427262/3*n^13*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-4)^n/(n-4)^8+37460612/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n /(n-4)^8-8060752*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+3157056*n^10 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-564480*n^9*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-4)^n/(n-4)^8+286/81/(n^n)*n^17*(n-5)^n/(n-5)^14-25/324/(n^n)*n^18*(n-\ 5)^n/(n-5)^14-8099455/324/(n^n)*n^14*(n-5)^n/(n-5)^14+40698229/162/(n^n)*n^13*( n-5)^n/(n-5)^14-618767435/324/(n^n)*n^12*(n-5)^n/(n-5)^14+14365627133/1296/(n^n )*n^11*(n-5)^n/(n-5)^14-31765/324/(n^n)*n^16*(n-5)^n/(n-5)^14+1196741/648/(n^n) *n^15*(n-5)^n/(n-5)^14-3986760635/81/(n^n)*n^10*(n-5)^n/(n-5)^14-3156242060/3/( n^n)*n^6*(n-5)^n/(n-5)^14+2799157712/3/(n^n)*n^5*(n-5)^n/(n-5)^14-34274227715/ 81/(n^n)*n^8*(n-5)^n/(n-5)^14+13478425688/81/(n^n)*n^9*(n-5)^n/(n-5)^14-\ 491642560/(n^n)*n^4*(n-5)^n/(n-5)^14+21381576733/27/(n^n)*n^7*(n-5)^n/(n-5)^14+ 115315200/(n^n)*n^3*(n-5)^n/(n-5)^14-245/432/(n^n)*n^19*(n-6)^n/(n-6)^14-29155/ 36/(n^n)*n^17*(n-6)^n/(n-6)^14+329/12/(n^n)*n^18*(n-6)^n/(n-6)^14+7/1296/(n^n)* n^20*(n-6)^n/(n-6)^14+853256131/324/(n^n)*n^14*(n-6)^n/(n-6)^14-2393416025/108/ (n^n)*n^13*(n-6)^n/(n-6)^14+20798536759/144/(n^n)*n^12*(n-6)^n/(n-6)^14-\ 105479348975/144/(n^n)*n^11*(n-6)^n/(n-6)^14+3533579/216/(n^n)*n^16*(n-6)^n/(n-\ 6)^14-17253145/72/(n^n)*n^15*(n-6)^n/(n-6)^14+77961867347/27/(n^n)*n^10*(n-6)^n /(n-6)^14+43354192028/(n^n)*n^6*(n-6)^n/(n-6)^14-108295013680/3/(n^n)*n^5*(n-6) ^n/(n-6)^14+1648611081418/81/(n^n)*n^8*(n-6)^n/(n-6)^14-79073832565/9/(n^n)*n^9 *(n-6)^n/(n-6)^14+317/12/(n^n)*n^19*(n-7)^n/(n-7)^14+654737/36/(n^n)*n^17*(n-7) ^n/(n-7)^14-5011/6/(n^n)*n^18*(n-7)^n/(n-7)^14+1/216/(n^n)*n^21*(n-7)^n/(n-7)^ 14-37/72/(n^n)*n^20*(n-7)^n/(n-7)^14-585704041/18/(n^n)*n^14*(n-7)^n/(n-7)^14+ 5706552137/24/(n^n)*n^13*(n-7)^n/(n-7)^14-32895795647/24/(n^n)*n^12*(n-7)^n/(n-\ 7)^14+224715582793/36/(n^n)*n^11*(n-7)^n/(n-7)^14-3474329/12/(n^n)*n^16*(n-7)^n /(n-7)^14+94220789/27/(n^n)*n^15*(n-7)^n/(n-7)^14-67142162074/3/(n^n)*n^10*(n-7 )^n/(n-7)^14-253905848624/(n^n)*n^6*(n-7)^n/(n-7)^14+201089762880/(n^n)*n^5*(n-\ 7)^n/(n-7)^14-1212691599506/9/(n^n)*n^8*(n-7)^n/(n-7)^14+1691028011408/27/(n^n) *n^9*(n-7)^n/(n-7)^14-96106464000/(n^n)*n^4*(n-7)^n/(n-7)^14+652738456892/3/(n^ n)*n^7*(n-7)^n/(n-7)^14+20756736000/(n^n)*n^3*(n-7)^n/(n-7)^14+18014696000/(n^n )*n^4*(n-6)^n/(n-6)^14-947198435435/27/(n^n)*n^7*(n-6)^n/(n-6)^14-4036032000/(n ^n)*n^3*(n-6)^n/(n-6)^14+1/1296/(n^n)*n^19*(n-5)^n/(n-5)^14+256*n^15*((n-1)^n)^ 5/(n-1)^22/(n^n)^5+1/1296*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^5-1/36*n^26*((n-1)^n) ^5/(n-1)^22/(n^n)^5+295/648*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^5-485/108*n^24*((n-\ 1)^n)^5/(n-1)^22/(n^n)^5+12827/432*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^5-64*n^18*(( n-1)^n)^6/(n-1)^18/(n^n)^6+1/36*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5) ^5-37/36*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5+313/18*n^20*((n-1)^n 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8-2196007/6*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8+8718764/9*n^21*(( n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8-1917036*n^20*((n-1)^n)^4/(n-1)^14/(n ^n)^5*(n-3)^n/(n-3)^8+25112084/9*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3 )^8-8682712/3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8+2020320*n^17*(( n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8-848256*n^16*((n-1)^n)^4/(n-1)^14/(n^ n)^5*(n-3)^n/(n-3)^8+161280*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^8+ 137096910860/81*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-53913702752/81*n^ 12*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+1966570240*n^7*(n-1)^n/(n-1)^2/(n^n )^2*(n-5)^n/(n-5)^14-85526306932/27*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^ 14-461260800*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14-1/18*n^27*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+17/6*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^ n/(n-4)^8-1195/18*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8+5689/6*n^24 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^8-166165/18*n^23*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^8+129801/2*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/( n-4)^8-1/54*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+8/9*n^25*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-1051/54*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-3)^n/(n-3)^8+773/3*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-124423/ 54*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+132490/9*n^21*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-3741533/54*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*( n-3)^n/(n-3)^8+2196007/9*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-\ 17437528/27*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+1278024*n^17*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8-50224168/27*n^16*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^8+17365424/9*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n -3)^8-1346880*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^8+565504*n^13*((n 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10799189/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-48906053/36*n^18* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+86002873/18*n^17*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-5)^n/(n-5)^8-117812798/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5) ^n/(n-5)^8+5598315424*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-\ 68548455430/27*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+26956851376/27 *n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-2949855360*n^10*((n-1)^n)^2/ (n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+42763153466/9*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3 *(n-5)^n/(n-5)^14+691891200*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+1/ 216*n^33*((n-1)^n)^7/(n-1)^26/(n^n)^7-1/6*n^32*((n-1)^n)^7/(n-1)^26/(n^n)^7+295 /108*n^31*((n-1)^n)^7/(n-1)^26/(n^n)^7-485/18*n^30*((n-1)^n)^7/(n-1)^26/(n^n)^7 +12827/72*n^29*((n-1)^n)^7/(n-1)^26/(n^n)^7-2495/3*n^28*((n-1)^n)^7/(n-1)^26/(n ^n)^7+75883/27*n^27*((n-1)^n)^7/(n-1)^26/(n^n)^7-20780/3*n^26*((n-1)^n)^7/(n-1) 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17*((n-1)^n)^5/(n-1)^22/(n^n)^5-3328/3*n^16*((n-1)^n)^5/(n-1)^22/(n^n)^5+ 1055835368/9*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11-133724624*n^15*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+102311296*n^14*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-4)^n/(n-4)^11-46890240*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4 )^11+9676800*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+689521/27*n^21*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+51534905/27*n^19*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-5)^n/(n-5)^11-6899227/27*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/ (n-5)^11-49741/27*n^22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-4328624432/ 27*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-293087663/27*n^18*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-1274419584*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-5)^n/(n-5)^11+912270848*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+ 1282260650/27*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-22161411056/27* n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+11233072256/27*n^15*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-394475520*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3* (n-5)^n/(n-5)^11+10853726176/9*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^ 11+77414400*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11-73/27*n^24*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+2443/27*n^23*((n-1)^n)^2/(n-1)^7/(n^n)^3* (n-5)^n/(n-5)^11+1/27*n^25*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^11+1/81*n^ 24*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-23/27*n^23*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-4)^n/(n-4)^11-30882336000*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^ 14+541256248820/9*n^10*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+6918912000*n^6* (n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-1/324*n^22*(n-1)^n/(n-1)^2/(n^n)^2*(n-\ 5)^n/(n-5)^14-1144/81*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+25/81*n^21* (n-1)^n/(n-1)^2/(n^n)^2*(n-5)^n/(n-5)^14+8099455/81*n^17*(n-1)^n/(n-1)^2/(n^n)^ 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n/(n-5)^11+7/36/(n^n)*n^16*(n-5)^n/(n-5)^11+112511861/36/(n^n)*n^10*(n-5)^n/(n-\ 5)^11+832447/12/(n^n)*n^12*(n-5)^n/(n-5)^11+369079396/3/(n^n)*n^6*(n-5)^n/(n-5) ^11-119600768/(n^n)*n^5*(n-5)^n/(n-5)^11-1648262/3/(n^n)*n^11*(n-5)^n/(n-5)^11+ 348125008/9/(n^n)*n^8*(n-5)^n/(n-5)^11-116203241/9/(n^n)*n^9*(n-5)^n/(n-5)^11+ 67945920/(n^n)*n^4*(n-5)^n/(n-5)^11-745612252/9/(n^n)*n^7*(n-5)^n/(n-5)^11-\ 16934400/(n^n)*n^3*(n-5)^n/(n-5)^11+250510520/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-5)^n/(n-5)^8-408872612/9*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^ 8+55762760*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-49721344*n^12*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+30342912*n^11*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-5)^n/(n-5)^8-11308032*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8 +1935360*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+1/36*n^25*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-55/36*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5) ^n/(n-5)^8+1399/36*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8-21847/36*n ^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^8+234433/36*n^21*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-5)^n/(n-5)^8-1832869/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5 )^n/(n-5)^8+7/216*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-119/72*n^23 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+8365/216*n^22*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-4)^n/(n-4)^8-39823/72*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/( n-4)^8+1163155/216*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-302869/8*n ^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+1/216*n^23*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^8-2/9*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^ 8+1051/216*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-773/12*n^20*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+124423/216*n^19*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^8-66245/18*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8 +3741533/216*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-2196007/36*n^16* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+4359382/27*n^15*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^8-319506*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-\ 3)^8+12556042/27*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-4341356/9*n^ 12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+336720*n^11*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^8-141376*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-\ 3)^8+26880*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+2167/81*n^22*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-13691/27*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-4)^n/(n-4)^11+525229/81*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-\ 1599437/27*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+32341661/81*n^18*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-54573673/27*n^17*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-4)^n/(n-4)^11+627376574/81*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^ n/(n-4)^11-1/108*n^31*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+37/108*n^30* ((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2-313/54*n^29*((n-1)^n)^5/(n-1)^22/( n^n)^6*(n-2)^n/(n-2)^2+3205/54*n^28*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^ 2-14767/36*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+72707/36*n^26*((n-\ 1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2-196676/27*n^25*((n-1)^n)^5/(n-1)^22/(n ^n)^6*(n-2)^n/(n-2)^2+525806/27*n^24*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2) ^2+1/6*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-14/3*n^24*((n-1)^n)^4/ (n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+58*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/( n-2)^5-421*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+3949/2*n^21*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-6245*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*( n-2)^n/(n-2)^5+40414/3*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-58612/ 3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+18192*n^17*((n-1)^n)^4/(n-1 )^14/(n^n)^5*(n-2)^n/(n-2)^5-9792*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-\ 2)^5+2304*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-155768/3*n^17*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+92960*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-3)^n/(n-3)^5-343600/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-\ 606372712/27*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+3956599712/81*n^ 14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-2111670736/27*n^13*((n-1)^n)^2/ (n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+267449248/3*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-4)^n/(n-4)^11-204622592/3*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11+ 31260160*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-6451200*n^9*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^11-4826647/324*n^18*(n-1)^n/(n-1)^5/(n^n)^2*( n-5)^n/(n-5)^11-360744335/324*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+ 48294589/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+2/9*n^26*((n-1)^n)^4 /(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-26/3*n^25*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^ n/(n-3)^8+1348/9*n^24*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-4540/3*n^23* ((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8+29782/3*n^22*((n-1)^n)^4/(n-1)^11/ (n^n)^5*(n-3)^n/(n-3)^8-44366*n^21*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8 +1239544/9*n^20*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-890080/3*n^19*((n-\ 1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8+3906752/9*n^18*((n-1)^n)^4/(n-1)^11/(n ^n)^5*(n-3)^n/(n-3)^8-1230176/3*n^17*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3) ^8+224512*n^16*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-53760*n^15*((n-1)^n )^4/(n-1)^11/(n^n)^5*(n-3)^n/(n-3)^8-1/3*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4) ^n/(n-4)^8+14*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8-791/3*n^22*((n-1 )^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+348187/324*n^19*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^11+7575092756/81*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+ 2051613641/324*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+743411424*n^9*(n-1 )^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1596473984/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*( n-5)^n/(n-5)^11-4487912275/162*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+ 38782469348/81*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-19657876448/81*n^ 12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+230110720*n^7*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^11-18994020808/27*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 11-45158400*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+3442/3*n^20*(n-1)^n/(n -1)^5/(n^n)^2*(n-6)^n/(n-6)^11+191608*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6 )^11+91793698/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-43015520/27*n^17* (n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-156371/9*n^19*(n-1)^n/(n-1)^5/(n^n)^2* (n-6)^n/(n-6)^11-5479365736/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-\ 305299885/6*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-3642184384*n^9*(n-1)^ n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+2477914880*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6) ^n/(n-6)^11+596662649/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-\ 71684116904/27*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+1450495784*n^12*(n -1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-1024896000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*( n-6)^n/(n-6)^11+32869203568/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+ 193536000*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-1/54*n^23*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-6)^n/(n-6)^11+13/9*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11-\ 52*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^11+511/324*n^21*(n-1)^n/(n-1)^5/( n^n)^2*(n-5)^n/(n-5)^11-17101/324*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11 -7/324*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1/324*n^21*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^11+23/108*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-\ 2167/324*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+13691/108*n^18*(n-1)^n/( n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-525229/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^11+1599437/108*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/ 324*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673/108*n^14*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11-313688287/162*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^ n/(n-4)^11+151593178/27*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-989149928 /81*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+527917684/27*n^10*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11-66862312/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^11+51155648/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-7815040*n^7*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+1612800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^ n/(n-4)^11+1/216*n^25*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+572/27*n^23* ((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-25/54*n^24*((n-1)^n)^2/(n-1)^4/(n^ n)^3*(n-5)^n/(n-5)^14-8099455/54*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5) ^14+40698229/27*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-618767435/54* n^18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+14365627133/216*n^17*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-31765/54*n^22*((n-1)^n)^2/(n-1)^4/(n^n)^3* (n-5)^n/(n-5)^14+1196741/108*n^21*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-\ 7973521270/27*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14-6312484120*n^12 *((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^14+8722*n^12*(n-1)^n/(n-1)^2/(n^n)^2 *(n-4)^n/(n-4)^8-43169*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+137053*n^10 *(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-835394/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*( n-4)^n/(n-4)^8+348068*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8-241752*n^7*(n -1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+70560*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n /(n-4)^8+1/6*(n-2)^n/(n-2)^5/(n^n)*n^7-5/3*(n-2)^n/(n-2)^5/(n^n)*n^6+35/6*(n-2) ^n/(n-2)^5/(n^n)*n^5-25/3*(n-2)^n/(n-2)^5/(n^n)*n^4+4*(n-2)^n/(n-2)^5/(n^n)*n^3 -384*n^21*((n-1)^n)^7/(n-1)^23/(n^n)^7-1/18*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^ n/(n-6)^8+17/6*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8-1189/18*n^18*(n-1)^ n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^8+1536*n^21*((n-1)^n)^7/(n-1)^26/(n^n)^7+ 46281779/24*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8-221879987/36*n^17 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8+139929085/9*n^16*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-6)^n/(n-6)^8-276904202/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6 )^n/(n-6)^8+1273113950/27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8-\ 164267572/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8+139474816/3*n^12* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8-27170432*n^11*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-6)^n/(n-6)^8+9745920*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6 )^8-1612800*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8-21724307/324*n^26* ((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11+16424683/54*n^25*((n-1)^n)^5/(n-1 )^13/(n^n)^6*(n-3)^n/(n-3)^11-82933070/81*n^24*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-\ 3)^n/(n-3)^11+68660108/27*n^23*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11-\ 371208956/81*n^22*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11+156708728/27*n^ 21*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11-43878208/9*n^20*((n-1)^n)^5/(n -1)^13/(n^n)^6*(n-3)^n/(n-3)^11+7277440/3*n^19*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-\ 3)^n/(n-3)^11-537600*n^18*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11-1/324*n ^32*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11+11/54*n^31*((n-1)^n)^5/(n-1)^ 13/(n^n)^6*(n-3)^n/(n-3)^11-1969/324*n^30*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/ (n-3)^11+5861/54*n^29*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11-419731/324* n^28*((n-1)^n)^5/(n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11+589853/54*n^27*((n-1)^n)^5/( n-1)^13/(n^n)^6*(n-3)^n/(n-3)^11+10302160/3*n^17*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n -4)^n/(n-4)^11-75302656/9*n^16*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+ 41617840/3*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-14810384*n^14*((n-\ 1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+9101760*n^13*((n-1)^n)^3/(n-1)^6/(n^n) ^4*(n-4)^n/(n-4)^11-2419200*n^12*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-\ 32/3*n^21*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11-15742/3*n^19*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11+1841/6*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5) ^n/(n-5)^11+1/6*n^22*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11+16073123/6*n^ 16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11+118921/2*n^18*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-5)^n/(n-5)^11+105451256*n^12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/ (n-5)^11-102514944*n^11*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11-470932*n^ 17*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11+99464288/3*n^14*((n-1)^n)^2/(n-\ 1)^4/(n^n)^3*(n-5)^n/(n-5)^11-33200926/3*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5) ^n/(n-5)^11+58239360*n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11-\ 213032072/3*n^13*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11-14515200*n^9*((n-\ 1)^n)^2/(n-1)^4/(n^n)^3*(n-5)^n/(n-5)^11-1008661/27*n^27*((n-1)^n)^6/(n-1)^18/( n^n)^7*(n-2)^n/(n-2)^8+2342060/27*n^26*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-\ 2)^8-3942542/27*n^25*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8+1556986/9*n^ 24*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8-136376*n^23*((n-1)^n)^6/(n-1)^ 18/(n^n)^7*(n-2)^n/(n-2)^8+63968*n^22*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2 )^8-13440*n^21*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8+1/216*n^34*((n-1)^n )^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8-23/108*n^33*((n-1)^n)^6/(n-1)^18/(n^n)^7*( n-2)^n/(n-2)^8+959/216*n^32*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8-2999/ 54*n^31*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8+11159/24*n^30*((n-1)^n)^6/ (n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8-99013/36*n^29*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-\ 2)^n/(n-2)^8-1/54*n^32*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8+8/9*n^31*(( n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8-1051/54*n^30*((n-1)^n)^5/(n-1)^16/(n ^n)^6*(n-3)^n/(n-3)^8+773/3*n^29*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8-\ 124423/54*n^28*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8+132490/9*n^27*((n-1 )^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8-3741533/54*n^26*((n-1)^n)^5/(n-1)^16/(n ^n)^6*(n-3)^n/(n-3)^8+2196007/9*n^25*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3) ^8-17437528/27*n^24*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8+1278024*n^23*( (n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8-50224168/27*n^22*((n-1)^n)^5/(n-1)^ 16/(n^n)^6*(n-3)^n/(n-3)^8+17365424/9*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n /(n-3)^8-1346880*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8+565504*n^19* ((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8-107520*n^18*((n-1)^n)^5/(n-1)^16/( n^n)^6*(n-3)^n/(n-3)^8+49/36/(n^n)*n^12*(n-4)^n/(n-4)^8-539/12/(n^n)*n^11*(n-4) ^n/(n-4)^8+637/(n^n)*n^10*(n-4)^n/(n-4)^8-30527/6/(n^n)*n^9*(n-4)^n/(n-4)^8+ 302183/12/(n^n)*n^8*(n-4)^n/(n-4)^8-959371/12/(n^n)*n^7*(n-4)^n/(n-4)^8+2923879 /18/(n^n)*n^6*(n-4)^n/(n-4)^8-609119/3/(n^n)*n^5*(n-4)^n/(n-4)^8+141022/(n^n)*n ^4*(n-4)^n/(n-4)^8-41160/(n^n)*n^3*(n-4)^n/(n-4)^8+35/36*n^22*(n-1)^n/(n-1)^2/( n^n)^2*(n-6)^n/(n-6)^14+4165/3*n^20*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-47 *n^21*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-1/108*n^23*(n-1)^n/(n-1)^2/(n^n) ^2*(n-6)^n/(n-6)^14-121893733/27*n^17*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+ 341916575/9*n^16*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-2971219537/12*n^15*(n -1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+15068478425/12*n^14*(n-1)^n/(n-1)^2/(n^n )^2*(n-6)^n/(n-6)^14-504797/18*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+ 2464735/6*n^18*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-44549638484/9*n^13*(n-1 )^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-74321472048*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n -6)^n/(n-6)^14+61882864960*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14-\ 942063475096/27*n^11*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+45185047180/3*n^ 12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^14+7/6/(n^n)*n^8*(n-3)^n/(n-3)^5-14/(n ^n)*n^7*(n-3)^n/(n-3)^5+385/6/(n^n)*n^6*(n-3)^n/(n-3)^5-140/(n^n)*n^5*(n-3)^n/( n-3)^5+434/3/(n^n)*n^4*(n-3)^n/(n-3)^5-56/(n^n)*n^3*(n-3)^n/(n-3)^5+15441168000 *n^10*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14-270628124410/9*n^13*((n-1)^n )^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14-3459456000*n^9*((n-1)^n)^2/(n-1)^4/(n^n)^3 *(n-6)^n/(n-6)^14-35/72*n^25*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14-4165/ 6*n^23*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14+47/2*n^24*((n-1)^n)^2/(n-1) ^4/(n^n)^3*(n-6)^n/(n-6)^14+1135/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8 -14891/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+22183/2*n^12*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^8-309886/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^8+222520/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-976688/9*n^9*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+307544/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^8-56128*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+13440*n^6*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^8-1/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-1/9 *n^28*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+28/9*n^27*((n-1)^n)^5/(n-1)^ 16/(n^n)^6*(n-2)^n/(n-2)^5-116/3*n^26*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2 )^5+842/3*n^25*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5-3949/3*n^24*((n-1)^ n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+12490/3*n^23*((n-1)^n)^5/(n-1)^16/(n^n)^6 *(n-2)^n/(n-2)^5-80828/9*n^22*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+ 117224/9*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5-12128*n^20*((n-1)^n) ^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+6528*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2 )^n/(n-2)^5-1536*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^5+77884/3*n^20 *((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-46480*n^19*((n-1)^n)^4/(n-1)^14/( n^n)^5*(n-3)^n/(n-3)^5+171800/3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3) ^5-46176*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5+21888*n^16*((n-1)^n) ^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-4608*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3 )^n/(n-3)^5+1/6*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5-5*n^25*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^5+202/3*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5* (n-3)^n/(n-3)^5+1/6/(n^n)*n^17*(n-6)^n/(n-6)^11+2161/6/(n^n)*n^15*(n-6)^n/(n-6) ^11+514183/6/(n^n)*n^13*(n-6)^n/(n-6)^11-13563/2/(n^n)*n^14*(n-6)^n/(n-6)^11-23 /2/(n^n)*n^16*(n-6)^n/(n-6)^11-48922489/2/(n^n)*n^10*(n-6)^n/(n-6)^11-1536469/2 /(n^n)*n^12*(n-6)^n/(n-6)^11-629771224/(n^n)*n^6*(n-6)^n/(n-6)^11+570814080/(n^ n)*n^5*(n-6)^n/(n-6)^11+30201083/6/(n^n)*n^11*(n-6)^n/(n-6)^11-236784504/(n^n)* n^8*(n-6)^n/(n-6)^11+265468918/3/(n^n)*n^9*(n-6)^n/(n-6)^11-305712000/(n^n)*n^4 *(n-6)^n/(n-6)^11+1381514128/3/(n^n)*n^7*(n-6)^n/(n-6)^11+72576000/(n^n)*n^3*(n -6)^n/(n-6)^11-1402880/3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5+ 157696*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5-24576*n^12*((n-1)^n)^3 /(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5-4055459/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-5)^n/(n-5)^5+7958965/162*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5-\ 12195800/81*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5-1/324*n^28*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5+23/162*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-5)^n/(n-5)^5-985/324*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^5+ 2553377/216*n^28*((n-1)^n)^6/(n-1)^18/(n^n)^7*(n-2)^n/(n-2)^8+28639/18*n^22*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^8-500839/36*n^21*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-6)^n/(n-6)^8+1/36*n^30*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8-\ 17/12*n^29*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8+1195/36*n^28*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8-5689/12*n^27*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n -4)^n/(n-4)^8+166165/36*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8-\ 129801/4*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8-10799189/54*n^22*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+48906053/54*n^21*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-5)^n/(n-5)^8-86002873/27*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/ (n-5)^8+235625596/27*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-\ 501021040/27*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+817745224/27*n^ 17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-111525520/3*n^16*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-5)^n/(n-5)^8+99442688/3*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 5)^n/(n-5)^8-20228608*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+7538688 *n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-1290240*n^12*((n-1)^n)^3/(n-\ 1)^12/(n^n)^4*(n-5)^n/(n-5)^8-1/54*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n -5)^8+55/54*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-1399/54*n^26*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+21847/54*n^25*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-5)^n/(n-5)^8-234433/54*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^ 8+1832869/54*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+1/(n^n)*n^9*(n-4 )^n/(n-4)^5-15/(n^n)*n^8*(n-4)^n/(n-4)^5+91/(n^n)*n^7*(n-4)^n/(n-4)^5-285/(n^n) *n^6*(n-4)^n/(n-4)^5+484/(n^n)*n^5*(n-4)^n/(n-4)^5-420/(n^n)*n^4*(n-4)^n/(n-4)^ 5+144/(n^n)*n^3*(n-4)^n/(n-4)^5+1/216*n^26*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/ (n-6)^14+121893733/54*n^20*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14-\ 341916575/18*n^19*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14+2971219537/24*n^ 18*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14-15068478425/24*n^17*((n-1)^n)^2 /(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14+504797/36*n^22*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n -6)^n/(n-6)^14-2464735/12*n^21*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14+ 22274819242/9*n^16*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14+37160736024*n^ 12*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^14-30941432480*n^11*((n-1)^n)^2/(n -1)^4/(n^n)^3*(n-6)^n/(n-6)^14+471031737548/27*n^14*((n-1)^n)^2/(n-1)^4/(n^n)^3 *(n-6)^n/(n-6)^14-22592523590/3*n^15*((n-1)^n)^2/(n-1)^4/(n^n)^3*(n-6)^n/(n-6)^ 14-4*n^15*((n-1)^n)^5/(n-1)^13/(n^n)^5-1/9*n^24*((n-1)^n)^6/(n-1)^18/(n^n)^6+2* n^23*((n-1)^n)^6/(n-1)^18/(n^n)^6-133/9*n^22*((n-1)^n)^6/(n-1)^18/(n^n)^6+172/3 *n^21*((n-1)^n)^6/(n-1)^18/(n^n)^6-1108/9*n^20*((n-1)^n)^6/(n-1)^18/(n^n)^6+416 /3*n^19*((n-1)^n)^6/(n-1)^18/(n^n)^6+7/36/(n^n)*n^14*(n-6)^n/(n-6)^8-49/6/(n^n) *n^13*(n-6)^n/(n-6)^8+5495/36/(n^n)*n^12*(n-6)^n/(n-6)^8-10045/6/(n^n)*n^11*(n-\ 6)^n/(n-6)^8+143507/12/(n^n)*n^10*(n-6)^n/(n-6)^8-116669/2/(n^n)*n^9*(n-6)^n/(n -6)^8+7125965/36/(n^n)*n^8*(n-6)^n/(n-6)^8-2797655/6/(n^n)*n^7*(n-6)^n/(n-6)^8+ 6707743/9/(n^n)*n^6*(n-6)^n/(n-6)^8-2301922/3/(n^n)*n^5*(n-6)^n/(n-6)^8+455840/ (n^n)*n^4*(n-6)^n/(n-6)^8-117600/(n^n)*n^3*(n-6)^n/(n-6)^8+445040*n^16*((n-1)^n 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1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+39552*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^ 6*(n-2)^n/(n-2)^2-16384*n^19*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+3072* n^18*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^2+1/216*n^29*((n-1)^n)^4/(n-1)^ 20/(n^n)^5*(n-3)^n/(n-3)^2-13/72*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3 )^2+175/54*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2-1277/36*n^26*((n-1 )^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2+57121/216*n^25*((n-1)^n)^4/(n-1)^20/(n^ n)^5*(n-3)^n/(n-3)^2-102241/72*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^ 2+611473/108*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2-153193/9*n^22*(( n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2+1046428/27*n^21*((n-1)^n)^4/(n-1)^20 /(n^n)^5*(n-3)^n/(n-3)^2-598282/9*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-\ 3)^2+2281444/27*n^19*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^2-9216*n^9*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^5-3205/18*n^19*((n-1)^n)^2/(n-1)^10/(n^n 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2/(n^n)^2*(n-6)^n/(n-6)^11+23/3*n^19*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11+ 48922489/3*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11+1536469/3*n^15*(n-1)^n /(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11+1259542448/3*n^9*(n-1)^n/(n-1)^2/(n^n)^2*(n-6 )^n/(n-6)^11-380542720*n^8*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-30201083/9* n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11+157856336*n^11*(n-1)^n/(n-1)^2/(n ^n)^2*(n-6)^n/(n-6)^11-530937836/9*n^12*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^ 11+203808000*n^7*(n-1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-2763028256/9*n^10*(n-\ 1)^n/(n-1)^2/(n^n)^2*(n-6)^n/(n-6)^11-48384000*n^6*(n-1)^n/(n-1)^2/(n^n)^2*(n-6 )^n/(n-6)^11-6884/9*n^23*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-383216/3* n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-183587396/27*n^19*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+86031040/81*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3* (n-6)^n/(n-6)^11-1/54*n^27*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+23/18*n ^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11-2167/54*n^25*((n-1)^n)^3/(n-1) ^9/(n^n)^4*(n-4)^n/(n-4)^11+13691/18*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/( n-4)^11-525229/54*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+1599437/18* n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11-32341661/54*n^21*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+54573673/18*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*( n-4)^n/(n-4)^11-313688287/27*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11+ 303186356/9*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11-1978299856/27*n^ 17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^11-23992/9*n^19*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-5)^n/(n-5)^8+22318*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^ 8-396052/3*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+5106754/9*n^16*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8-16138576/9*n^15*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-5)^n/(n-5)^8+37472960/9*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^ 8-63080672/9*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+24911776/3*n^12*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8-6546048*n^11*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-5)^n/(n-5)^8+3070464*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8-\ 645120*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+2/9*n^22*((n-1)^n)^2/(n-\ 1)^7/(n^n)^3*(n-5)^n/(n-5)^8-92/9*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5 )^8+1918/9*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^8+6578840/9*n^18*((n-\ 1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^5-30663928/27*n^17*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-4)^n/(n-4)^5+11902352/9*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n -4)^5-3349504/3*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^5+644608*n^14*( (n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^5-227328*n^13*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-4)^n/(n-4)^5+36864*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^5+ 1507204/81*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^5-516160/27*n^15*((n 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n/(n-3)^11+691280*n^16*((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11-201600*n^15 *((n-1)^n)^4/(n-1)^8/(n^n)^5*(n-3)^n/(n-3)^11-1/9*n^24*((n-1)^n)^3/(n-1)^6/(n^n )^4*(n-4)^n/(n-4)^11+20/3*n^23*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-\ 1601/9*n^22*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+8360/3*n^21*((n-1)^n)^ 3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-85481/3*n^20*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-\ 4)^n/(n-4)^11+199980*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11-8873843/ 9*n^18*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-4)^n/(n-4)^11+1/6*n^21*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-4)^n/(n-4)^5-11/2*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4) ^5+247/3*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^5+13*n^22*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-674/3*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/ (n-3)^8+2270*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-14891*n^19*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+66549*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n 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11+637209792*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-456135424*n^14*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-641130325/27*n^20*((n-1)^n)^3/(n-1) ^9/(n^n)^4*(n-5)^n/(n-5)^11+11080705528/27*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 5)^n/(n-5)^11-5616536128/27*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+ 197237760*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-5426863088/9*n^16*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-38707200*n^12*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-5)^n/(n-5)^11+73/54*n^27*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11 -2443/54*n^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-1/54*n^28*((n-1)^n)^ 3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+1/81*n^30*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-4) ^n/(n-4)^11-23/27*n^29*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-4)^n/(n-4)^11+2167/81*n^ 28*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-4)^n/(n-4)^11-13691/27*n^27*((n-1)^n)^4/(n-1 )^11/(n^n)^5*(n-4)^n/(n-4)^11+525229/81*n^26*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-4) ^n/(n-4)^11-1599437/27*n^25*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-4)^n/(n-4)^11+ 32341661/81*n^24*((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-4)^n/(n-4)^11-54573673/27*n^23 *((n-1)^n)^4/(n-1)^11/(n^n)^5*(n-4)^n/(n-4)^11+2944*n^21*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-4)^n/(n-4)^8-21701*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+ 111222*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8-1218713/3*n^18*((n-1)^n )^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+1064812*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n -4)^n/(n-4)^8-5958736/3*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+ 2568464*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8-2182032*n^14*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+1090944*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 4)^n/(n-4)^8-241920*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^8+1/36*n^19* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-7/9*n^18*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-2)^n/(n-2)^5+29/3*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-421/ 6*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+3949/12*n^15*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-2)^n/(n-2)^5-6245/6*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n /(n-2)^5+20207/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5-29306/9*n^12 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+3032*n^11*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-2)^n/(n-2)^5-1632*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+ 384*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^5+13/6*n^16*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^8-337/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-7/3* n^15*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+77*n^14*(n-1)^n/(n-1)^2/(n^n)^2*(n -4)^n/(n-4)^8-1092*n^13*(n-1)^n/(n-1)^2/(n^n)^2*(n-4)^n/(n-4)^8+7/36/(n^n)*n^11 *(n-3)^n/(n-3)^8-35/6/(n^n)*n^10*(n-3)^n/(n-3)^8+147/2/(n^n)*n^9*(n-3)^n/(n-3)^ 8-1519/3/(n^n)*n^8*(n-3)^n/(n-3)^8+24941/12/(n^n)*n^7*(n-3)^n/(n-3)^8-31115/6/( n^n)*n^6*(n-3)^n/(n-3)^8+68831/9/(n^n)*n^5*(n-3)^n/(n-3)^8-6062/(n^n)*n^4*(n-3) ^n/(n-3)^8+1960/(n^n)*n^3*(n-3)^n/(n-3)^8-1/324*n^28*((n-1)^n)^3/(n-1)^6/(n^n)^ 4*(n-5)^n/(n-5)^14-1144/81*n^26*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^14+25 /81*n^27*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^14+8099455/81*n^23*((n-1)^n) ^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^14-81396458/81*n^22*((n-1)^n)^3/(n-1)^6/(n^n)^ 4*(n-5)^n/(n-5)^14+618767435/81*n^21*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^ 14-14365627133/324*n^20*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^14+31765/81*n ^25*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^14-1196741/162*n^24*((n-1)^n)^3/( n-1)^6/(n^n)^4*(n-5)^n/(n-5)^14+15947042540/81*n^19*((n-1)^n)^3/(n-1)^6/(n^n)^4 *(n-5)^n/(n-5)^14+12624968240/3*n^15*((n-1)^n)^3/(n-1)^6/(n^n)^4*(n-5)^n/(n-5)^ 14 In particular we have an indication that, X[1], and , X[4], are joint-asymptoically normal with limiting correlation exp(-2) 1/6 --------------------------------------------------------- 1/2 ((-2 exp(-2) + exp(-1)) (-5/36 exp(-2) + 1/6 exp(-1))) and in decomals .3508546127 ------------------------------------------------ We will now study how , X[2], and , X[3], intereact The, 1, 1, mixed moment of, X[2], and , X[3], is 9 n 2 8 n 2 7 n 2 6 n 2 n ((n - 1) ) 7 n ((n - 1) ) 8 n ((n - 1) ) 6 n ((n - 1) ) - ---------------- + ---------------- - ---------------- + ---------------- 7 n 2 7 n 2 7 n 2 7 n 2 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n n 3 12 (n - 2) n + -------------- 5 n (n - 2) n and in Maple notation -1/2*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+7/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-8*n^7* ((n-1)^n)^2/(n-1)^7/(n^n)^2+6*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/2*(n-2)^n/(n-2) ^5/(n^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2 )^n/(n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3 The, 1, 2, mixed moment of, X[2], and , X[3], is 10 n n 9 n n 91 n (n - 1) (n - 2) 285 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 242 n (n - 1) (n - 2) 210 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n n 72 n (n - 1) (n - 2) 395 n (n - 1) (n - 2) - ----------------------- + ------------------------- 4 n 2 5 3 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 11 n n 181 n (n - 1) (n - 2) 17 n (n - 1) (n - 2) - ------------------------ + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n n 7 n n 115 n (n - 1) (n - 2) 167 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 6 3 n 2 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 6 n n 14 n 3 n (n - 1) (n - 2) 60 n (n - 1) (n - 2) n ((n - 1) ) - ------------------------- - ----------------------- + ----------------- 3 n 2 6 3 n 2 6 11 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 2 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 6 n ((n - 1) ) 57 n ((n - 1) ) 67 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 11 n 3 11 n 3 11 n 3 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 10 n 3 6 n 2 10 n 9 n 78 n ((n - 1) ) 6 n ((n - 1) ) n (n - 3) 23 n (n - 3) + ------------------ + ---------------- + ------------- - -------------- 11 n 3 7 n 2 n 7 n 7 (n - 1) (n ) (n - 1) (n ) 4 n (n - 3) 4 n (n - 3) 8 n 7 n 6 n 5 n 217 n (n - 3) 1085 n (n - 3) 1547 n (n - 3) 1253 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 2 n (n - 3) n (n - 3) 4 n 3 n 9 n 2 8 n 2 1062 n (n - 3) 360 n (n - 3) n ((n - 1) ) 7 n ((n - 1) ) + ---------------- - --------------- - ---------------- + ---------------- n 7 n 7 7 n 2 7 n 2 n (n - 3) n (n - 3) 2 (n - 1) (n ) 2 (n - 1) (n ) 7 n 2 n 7 n 6 n 5 8 n ((n - 1) ) (n - 2) n 5 (n - 2) n 35 (n - 2) n - ---------------- + ------------- - ------------- + -------------- 7 n 2 5 n 5 n 5 n (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 4 n 3 9 n 3 25 (n - 2) n 12 (n - 2) n 36 n ((n - 1) ) - -------------- + -------------- - ----------------- 5 n 5 n 11 n 3 (n - 2) n (n - 2) n (n - 1) (n ) 12 n n 11 n n n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) and in Maple notation -91/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+285/2*n^9*(n-1)^n/(n-1)^4/(n ^n)^2*(n-2)^n/(n-2)^5-242*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+210*n^7*( n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-72*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/( n-2)^5+395/4*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-181*n^8*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-2)^n/(n-2)^6+17/4*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-115 /4*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+167*n^7*(n-1)^n/(n-1)^3/(n^n)^2 *(n-2)^n/(n-2)^6-1/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-60*n^6*(n-1)^ n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+1/2*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-6*n^13* ((n-1)^n)^3/(n-1)^11/(n^n)^3+57/2*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-67*n^11*((n -1)^n)^3/(n-1)^11/(n^n)^3+78*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+6*n^6*((n-1)^n)^ 2/(n-1)^7/(n^n)^2+1/4/(n^n)*n^10*(n-3)^n/(n-3)^7-23/4/(n^n)*n^9*(n-3)^n/(n-3)^7 +217/4/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/4/(n^n)*n^7*(n-3)^n/(n-3)^7+1547/2/(n^n)* n^6*(n-3)^n/(n-3)^7-1253/(n^n)*n^5*(n-3)^n/(n-3)^7+1062/(n^n)*n^4*(n-3)^n/(n-3) ^7-360/(n^n)*n^3*(n-3)^n/(n-3)^7-1/2*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+7/2*n^8*(( n-1)^n)^2/(n-1)^7/(n^n)^2-8*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/2*(n-2)^n/(n-2)^5 /(n^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^ n/(n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3-36*n^9*((n-1)^n)^3/(n-1)^11/(n ^n)^3-1/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+15/2*n^11*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-2)^n/(n-2)^5 The, 1, 3, mixed moment of, X[2], and , X[3], is 10 n n 9 n n 273 n (n - 1) (n - 2) 855 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 7 n n 363 n (n - 1) (n - 2) 315 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n n 108 n (n - 1) (n - 2) 1185 n (n - 1) (n - 2) - ------------------------ + ------------------------- 4 n 2 5 3 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 11 n n 543 n (n - 1) (n - 2) 51 n (n - 1) (n - 2) - ------------------------ + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n n 7 n n 345 n (n - 1) (n - 2) 501 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 6 3 n 2 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 6 n n 14 n 3 3 n (n - 1) (n - 2) 180 n (n - 1) (n - 2) 3 n ((n - 1) ) - ------------------------- - ------------------------ + ----------------- 3 n 2 6 3 n 2 6 11 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 4 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 9 n ((n - 1) ) 171 n ((n - 1) ) 201 n ((n - 1) ) - ----------------- + ------------------- - ------------------- 11 n 3 11 n 3 11 n 3 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 12 n 4 13 n 117 n ((n - 1) ) 162 n ((n - 1) ) n (n - 4) + ------------------- + ------------------- + ------------- 11 n 3 15 n 4 n 9 (n - 1) (n ) (n - 1) (n ) 8 n (n - 4) 12 n 11 n 10 n 41 n (n - 4) 183 n (n - 4) 3741 n (n - 4) - --------------- + ---------------- - ----------------- n 9 n 9 n 9 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 9 n 8 n 7 n 48405 n (n - 4) 206745 n (n - 4) 294619 n (n - 4) + ----------------- - ------------------ + ------------------ n 9 n 9 n 9 8 n (n - 4) 8 n (n - 4) 4 n (n - 4) 6 n 5 n 4 n 275977 n (n - 4) 162123 n (n - 4) 107388 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 2 n (n - 4) n (n - 4) n (n - 4) 3 n 6 n 2 10 n 9 n 30240 n (n - 4) 6 n ((n - 1) ) 3 n (n - 3) 69 n (n - 3) + ----------------- + ---------------- + -------------- - -------------- n 9 7 n 2 n 7 n 7 n (n - 4) (n - 1) (n ) 4 n (n - 3) 4 n (n - 3) 8 n 7 n 6 n 5 n 651 n (n - 3) 3255 n (n - 3) 4641 n (n - 3) 3759 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 2 n (n - 3) n (n - 3) 4 n 3 n 9 n 2 3186 n (n - 3) 1080 n (n - 3) n ((n - 1) ) + ---------------- - ---------------- - ---------------- n 7 n 7 7 n 2 n (n - 3) n (n - 3) 2 (n - 1) (n ) 8 n 2 7 n 2 n 7 n 6 7 n ((n - 1) ) 8 n ((n - 1) ) (n - 2) n 5 (n - 2) n + ---------------- - ---------------- + ------------- - ------------- 7 n 2 7 n 2 5 n 5 n 2 (n - 1) (n ) (n - 1) (n ) 2 (n - 2) n (n - 2) n n 5 n 4 n 3 19 n 4 35 (n - 2) n 25 (n - 2) n 12 (n - 2) n 3 n ((n - 1) ) + -------------- - -------------- + -------------- - ----------------- 5 n 5 n 5 n 15 n 4 2 (n - 2) n (n - 2) n (n - 2) n 8 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 51 n ((n - 1) ) 369 n ((n - 1) ) 1473 n ((n - 1) ) + ------------------ - ------------------- + -------------------- 15 n 4 15 n 4 15 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 438 n ((n - 1) ) 621 n ((n - 1) ) 486 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 15 n 4 15 n 4 15 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 15 n n 14 n n n (n - 1) (n - 3) 4 n (n - 1) (n - 3) - ------------------------- + ----------------------- 3 n 2 8 3 n 2 8 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 219 n (n - 1) (n - 3) 420 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 8 3 n 2 8 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 15897 n (n - 1) (n - 3) 6006 n (n - 1) (n - 3) - --------------------------- + -------------------------- 3 n 2 8 3 n 2 8 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 11584 n (n - 1) (n - 3) 13730 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 9054 n (n - 1) (n - 3) 2520 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 3 17 n 2 n 54 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) - ----------------- + -------------------------- 11 n 3 8 n 3 5 (n - 1) (n ) 8 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 129 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1245 n ((n - 1) ) (n - 2) 7365 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6825 n ((n - 1) ) (n - 2) 3861 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1215 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 6 7 n 3 6 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 11 n 2 n 309 n ((n - 1) ) (n - 2) 5943 n ((n - 1) ) (n - 2) + ---------------------------- + ----------------------------- 7 n 3 6 7 n 3 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 13 n 2 n 1953 n ((n - 1) ) (n - 2) 10167 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 12 n 2 n 9 n 2 n 9987 n ((n - 1) ) (n - 2) 540 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 7 n 3 6 7 n 3 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 15 n n 402 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) - ---------------------------- - ------------------------- 7 n 3 6 4 n 2 7 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 14 n n 13 n n 21 n (n - 1) (n - 3) 507 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 1731 n (n - 1) (n - 3) 29463 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 10 n n 9 n n 10122 n (n - 1) (n - 3) 17952 n (n - 1) (n - 3) + --------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 19782 n (n - 1) (n - 3) 12258 n (n - 1) (n - 3) + -------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 3240 n (n - 1) (n - 3) 3 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 5 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 11 n n 45 n (n - 1) (n - 2) + ------------------------- 4 n 2 5 4 (n - 1) (n ) (n - 2) and in Maple notation -273/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+855/4*n^9*(n-1)^n/(n-1)^4/( n^n)^2*(n-2)^n/(n-2)^5-363*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+315*n^7* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-108*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n /(n-2)^5+1185/4*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-543*n^8*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-2)^n/(n-2)^6+51/4*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-\ 345/4*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+501*n^7*(n-1)^n/(n-1)^3/(n^n )^2*(n-2)^n/(n-2)^6-3/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-180*n^6*(n -1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+3/4*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-9*n ^13*((n-1)^n)^3/(n-1)^11/(n^n)^3+171/4*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-201/2* n^11*((n-1)^n)^3/(n-1)^11/(n^n)^3+117*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+162*n^ 12*((n-1)^n)^4/(n-1)^15/(n^n)^4+1/8/(n^n)*n^13*(n-4)^n/(n-4)^9-41/8/(n^n)*n^12* (n-4)^n/(n-4)^9+183/2/(n^n)*n^11*(n-4)^n/(n-4)^9-3741/4/(n^n)*n^10*(n-4)^n/(n-4 )^9+48405/8/(n^n)*n^9*(n-4)^n/(n-4)^9-206745/8/(n^n)*n^8*(n-4)^n/(n-4)^9+294619 /4/(n^n)*n^7*(n-4)^n/(n-4)^9-275977/2/(n^n)*n^6*(n-4)^n/(n-4)^9+162123/(n^n)*n^ 5*(n-4)^n/(n-4)^9-107388/(n^n)*n^4*(n-4)^n/(n-4)^9+30240/(n^n)*n^3*(n-4)^n/(n-4 )^9+6*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2+3/4/(n^n)*n^10*(n-3)^n/(n-3)^7-69/4/(n^n) *n^9*(n-3)^n/(n-3)^7+651/4/(n^n)*n^8*(n-3)^n/(n-3)^7-3255/4/(n^n)*n^7*(n-3)^n/( n-3)^7+4641/2/(n^n)*n^6*(n-3)^n/(n-3)^7-3759/(n^n)*n^5*(n-3)^n/(n-3)^7+3186/(n^ n)*n^4*(n-3)^n/(n-3)^7-1080/(n^n)*n^3*(n-3)^n/(n-3)^7-1/2*n^9*((n-1)^n)^2/(n-1) ^7/(n^n)^2+7/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-8*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^ 2+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^ 5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3-3/8*n^19* ((n-1)^n)^4/(n-1)^15/(n^n)^4+51/8*n^18*((n-1)^n)^4/(n-1)^15/(n^n)^4-369/8*n^17* ((n-1)^n)^4/(n-1)^15/(n^n)^4+1473/8*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^4-438*n^15* ((n-1)^n)^4/(n-1)^15/(n^n)^4+621*n^14*((n-1)^n)^4/(n-1)^15/(n^n)^4-486*n^13*((n -1)^n)^4/(n-1)^15/(n^n)^4-1/8*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+4*n^ 14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8-219/4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*( n-3)^n/(n-3)^8+420*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8-15897/8*n^11*(n -1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+6006*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n /(n-3)^8-11584*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+13730*n^8*(n-1)^n/(n -1)^3/(n^n)^2*(n-3)^n/(n-3)^8-9054*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+ 2520*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8-54*n^9*((n-1)^n)^3/(n-1)^11/(n ^n)^3+3/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-15/2*n^16*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+129/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^5-1245/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+7365/8*n^13*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-6825/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-2)^n/(n-2)^5+3861/2*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-\ 1215*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+324*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^5+3/8*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6 -33/4*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6+309/4*n^15*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6+5943/2*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/ (n-2)^6-1953*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6+10167/8*n^13*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6-9987/4*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-2)^n/(n-2)^6+540*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6-402*n^14*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6-3/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 3)^n/(n-3)^7+21/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-507/4*n^13*(n-1) ^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+1731/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/ (n-3)^7-29463/8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+10122*n^10*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-17952*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3 )^7+19782*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-12258*n^7*(n-1)^n/(n-1)^4 /(n^n)^2*(n-3)^n/(n-3)^7+3240*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-3/4*n ^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+45/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*( n-2)^n/(n-2)^5 The, 1, 4, mixed moment of, X[2], and , X[3], is 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 139 n ((n - 1) ) (n - 2) 905 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 5 12 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 7637 n ((n - 1) ) (n - 2) 21805 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 10657 n ((n - 1) ) (n - 2) 14070 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 11988 n ((n - 1) ) (n - 2) 5940 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 19 n 2 n 1296 n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 3) - ----------------------------- - --------------------------- 12 n 4 5 7 n 3 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 151 n ((n - 1) ) (n - 3) 2871 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 35325 n ((n - 1) ) (n - 3) 147693 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 7 n 3 8 7 n 3 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 214147 n ((n - 1) ) (n - 3) 215372 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 294416 n ((n - 1) ) (n - 3) 260340 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 133848 n ((n - 1) ) (n - 3) 30240 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 20 n 3 n n ((n - 1) ) (n - 3) 483 n ((n - 1) ) (n - 2) + ------------------------- - ---------------------------- 7 n 3 8 11 n 4 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 3351 n ((n - 1) ) (n - 2) 29955 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 11 n 4 6 11 n 4 6 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 28134 n ((n - 1) ) (n - 2) 14418 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 46161 n ((n - 1) ) (n - 2) 31791 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 6 11 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 3240 n ((n - 1) ) (n - 2) 90105 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 21 n 3 n 22 n 3 n 81 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 11 n 4 6 11 n 4 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 363 n ((n - 1) ) (n - 3) 6249 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 70167 n ((n - 1) ) (n - 3) 269835 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 362637 n ((n - 1) ) (n - 3) 170274 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 218880 n ((n - 1) ) (n - 3) 183222 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 89748 n ((n - 1) ) (n - 3) 19440 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 3 n ((n - 1) ) (n - 3) 99 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 6 n n 18 n n 272160 n (n - 1) (n - 4) n (n - 1) (n - 4) - --------------------------- - --------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 10 n n 9 n n 91 n (n - 1) (n - 2) 285 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 484 n (n - 1) (n - 2) 420 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n n 144 n (n - 1) (n - 2) 2765 n (n - 1) (n - 2) - ------------------------ + ------------------------- 4 n 2 5 3 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 11 n n 1267 n (n - 1) (n - 2) 119 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n n 7 n n 805 n (n - 1) (n - 2) 1169 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 6 n n 14 n 3 7 n (n - 1) (n - 2) 420 n (n - 1) (n - 2) n ((n - 1) ) - ------------------------- - ------------------------ + --------------- 3 n 2 6 3 n 2 6 11 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 13 n 3 12 n 3 11 n 3 12 n ((n - 1) ) 57 n ((n - 1) ) 134 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 11 n 3 11 n 3 11 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 10 n 3 16 n n 156 n ((n - 1) ) 943 n (n - 1) (n - 4) + ------------------- - ------------------------- 11 n 3 4 n 2 9 (n - 1) (n ) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 2847 n (n - 1) (n - 4) 90207 n (n - 1) (n - 4) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 12 n n 246831 n (n - 1) (n - 4) 1913393 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 1322642 n (n - 1) (n - 4) 2587988 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 3491868 n (n - 1) (n - 4) 3079836 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1591056 n (n - 1) (n - 4) 362880 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 4 13 n 12 n 324 n ((n - 1) ) 3 n (n - 4) 123 n (n - 4) + ------------------- + -------------- - ---------------- 15 n 4 n 9 n 9 (n - 1) (n ) 4 n (n - 4) 4 n (n - 4) 11 n 10 n 9 n 549 n (n - 4) 11223 n (n - 4) 145215 n (n - 4) + ---------------- - ------------------ + ------------------ n 9 n 9 n 9 n (n - 4) 2 n (n - 4) 4 n (n - 4) 8 n 7 n 6 n 620235 n (n - 4) 883857 n (n - 4) 827931 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 4 n (n - 4) 2 n (n - 4) n (n - 4) 5 n 4 n 3 n 972738 n (n - 4) 644328 n (n - 4) 181440 n (n - 4) + ------------------ - ------------------ + ------------------ n 9 n 9 n 9 n (n - 4) n (n - 4) n (n - 4) 6 n 2 10 n 9 n 8 n 6 n ((n - 1) ) 7 n (n - 3) 161 n (n - 3) 1519 n (n - 3) + ---------------- + -------------- - --------------- + ---------------- 7 n 2 n 7 n 7 n 7 (n - 1) (n ) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 7595 n (n - 3) 10829 n (n - 3) 8771 n (n - 3) - ---------------- + ----------------- - ---------------- n 7 n 7 n 7 4 n (n - 3) 2 n (n - 3) n (n - 3) 4 n 3 n 15 n 5 7434 n (n - 3) 2520 n (n - 3) 648 n ((n - 1) ) + ---------------- - ---------------- - ------------------- n 7 n 7 19 n 5 n (n - 3) n (n - 3) (n - 1) (n ) 15 n 13 n 14 n 16 n 4 n (n - 5) 7871 n (n - 5) 1841 n (n - 5) n (n - 5) - -------------- - ----------------- + ----------------- + --------------- n 11 n 11 n 11 n 11 n (n - 5) 4 n (n - 5) 16 n (n - 5) 16 n (n - 5) 10 n 12 n 6 n 16073123 n (n - 5) 356763 n (n - 5) 39544221 n (n - 5) + --------------------- + ------------------- + -------------------- n 11 n 11 n 11 16 n (n - 5) 16 n (n - 5) n (n - 5) 5 n 11 n 8 n 38443104 n (n - 5) 353199 n (n - 5) 12433036 n (n - 5) - -------------------- - ------------------- + -------------------- n 11 n 11 n 11 n (n - 5) 2 n (n - 5) n (n - 5) 9 n 4 n 7 n 16600463 n (n - 5) 21839760 n (n - 5) 26629009 n (n - 5) - -------------------- + -------------------- - -------------------- n 11 n 11 n 11 4 n (n - 5) n (n - 5) n (n - 5) 3 n 24 n 5 23 n 5 5443200 n (n - 5) n ((n - 1) ) 11 n ((n - 1) ) - ------------------- + ----------------- - ------------------ n 11 19 n 5 19 n 5 n (n - 5) 4 (n - 1) (n ) 2 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 107 n ((n - 1) ) 302 n ((n - 1) ) 4361 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 19 n 5 19 n 5 19 n 5 2 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 5221 n ((n - 1) ) 4146 n ((n - 1) ) 4212 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 19 n 5 19 n 5 19 n 5 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 16 n 5 9 n 2 8 n 2 2484 n ((n - 1) ) n ((n - 1) ) 7 n ((n - 1) ) + -------------------- - ---------------- + ---------------- 19 n 5 7 n 2 7 n 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 7 n 2 n 7 n 6 n 5 8 n ((n - 1) ) (n - 2) n 5 (n - 2) n 35 (n - 2) n - ---------------- + ------------- - ------------- + -------------- 7 n 2 5 n 5 n 5 n (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 4 n 3 19 n 4 18 n 4 25 (n - 2) n 12 (n - 2) n 3 n ((n - 1) ) 51 n ((n - 1) ) - -------------- + -------------- - ----------------- + ------------------ 5 n 5 n 15 n 4 15 n 4 (n - 2) n (n - 2) n 4 (n - 1) (n ) 4 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 369 n ((n - 1) ) 1473 n ((n - 1) ) 876 n ((n - 1) ) - ------------------- + -------------------- - ------------------- 15 n 4 15 n 4 15 n 4 4 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 15 n n 1242 n ((n - 1) ) 972 n ((n - 1) ) 3 n (n - 1) (n - 3) + -------------------- - ------------------- - ------------------------- 15 n 4 15 n 4 3 n 2 8 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) (n - 3) 14 n n 13 n n 24 n (n - 1) (n - 3) 657 n (n - 1) (n - 3) + ------------------------ - ------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 2520 n (n - 1) (n - 3) 47691 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 10 n n 9 n n 36036 n (n - 1) (n - 3) 69504 n (n - 1) (n - 3) + --------------------------- - -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 82380 n (n - 1) (n - 3) 54324 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 15120 n (n - 1) (n - 3) n (n - 1) (n - 4) + -------------------------- - ------------------------- 3 n 2 8 4 n 2 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 17 n n 17 n n 23 n (n - 1) (n - 4) 13 n (n - 1) (n - 4) + ------------------------- + -------------------------- 4 n 2 9 3 n 2 10 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n n 15 n n 1201 n (n - 1) (n - 4) 1017 n (n - 1) (n - 4) - --------------------------- + -------------------------- 3 n 2 10 3 n 2 10 16 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 143883 n (n - 1) (n - 4) 218469 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 16 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 12 n n 11 n n 3734723 n (n - 1) (n - 4) 1413367 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 10 3 n 2 10 16 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 1502891 n (n - 1) (n - 4) 2187267 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 2064861 n (n - 1) (n - 4) 1132812 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 3 17 n 2 n 72 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) - ----------------- + -------------------------- 11 n 3 8 n 3 5 (n - 1) (n ) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 129 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1245 n ((n - 1) ) (n - 2) 7365 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6825 n ((n - 1) ) (n - 2) 3861 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2430 n ((n - 1) ) (n - 2) 648 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 6 7 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 11 n 2 n 309 n ((n - 1) ) (n - 2) 11886 n ((n - 1) ) (n - 2) + ---------------------------- + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 13 n 2 n 7812 n ((n - 1) ) (n - 2) 10167 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 9 n 2 n 9987 n ((n - 1) ) (n - 2) 2160 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 15 n n 1608 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) - ----------------------------- - ------------------------- 7 n 3 6 4 n 2 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n 42 n (n - 1) (n - 3) 507 n (n - 1) (n - 3) + ------------------------ - ------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 3462 n (n - 1) (n - 3) 29463 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 40488 n (n - 1) (n - 3) 71808 n (n - 1) (n - 3) + --------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 79128 n (n - 1) (n - 3) 49032 n (n - 1) (n - 3) + -------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 12 n n 12960 n (n - 1) (n - 3) n (n - 1) (n - 2) + -------------------------- - ----------------------- 4 n 2 7 4 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 11 n n 15 n (n - 1) (n - 2) + ------------------------ 4 n 2 5 (n - 1) (n ) (n - 2) and in Maple notation -1/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+25/4*n^21*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-2)^n/(n-2)^5-139/2*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/ (n-2)^5+905/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-7637/4*n^18*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+21805/4*n^17*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-2)^n/(n-2)^5-10657*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+ 14070*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-11988*n^14*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+5940*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n /(n-2)^5-1296*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-37/4*n^19*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+151*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 3)^n/(n-3)^8-2871/2*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+35325/4*n^ 16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-147693/4*n^15*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-3)^n/(n-3)^8+214147/2*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-\ 3)^8-215372*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+294416*n^12*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-260340*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-3)^n/(n-3)^8+133848*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8-30240*n^ 9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^8+1/4*n^20*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-3)^n/(n-3)^8-483/4*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+ 3351/4*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-29955/8*n^18*((n-1)^n) ^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-28134*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 2)^n/(n-2)^6+14418*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-46161/2*n^ 16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+31791*n^15*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-2)^n/(n-2)^6-3240*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6 +90105/8*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+81/8*n^21*((n-1)^n)^ 3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-3/8*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^ n/(n-2)^6+363/2*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-6249/4*n^17*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+70167/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-3)^n/(n-3)^7-269835/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+ 362637/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-170274*n^13*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+218880*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^7-183222*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+89748*n^10* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-19440*n^9*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^7+3/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-99/8*n^ 19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-272160*n^6*(n-1)^n/(n-1)^3/(n^n) ^2*(n-4)^n/(n-4)^10-1/16*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-91*n^10* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+285*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n /(n-2)^5-484*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+420*n^7*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-2)^n/(n-2)^5-144*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+2765/ 4*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-1267*n^8*(n-1)^n/(n-1)^3/(n^n)^2* (n-2)^n/(n-2)^6+119/4*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-805/4*n^10*( n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+1169*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n /(n-2)^6-7/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-420*n^6*(n-1)^n/(n-1) ^3/(n^n)^2*(n-2)^n/(n-2)^6+n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-12*n^13*((n-1)^n)^ 3/(n-1)^11/(n^n)^3+57*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-134*n^11*((n-1)^n)^3/(n -1)^11/(n^n)^3+156*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3-943/4*n^16*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^9+2847*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-\ 90207/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+246831/2*n^13*(n-1)^n/(n-1 )^4/(n^n)^2*(n-4)^n/(n-4)^9-1913393/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^9+1322642*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-2587988*n^10*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+3491868*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^9-3079836*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+1591056*n^7*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-4)^n/(n-4)^9-362880*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9 +324*n^12*((n-1)^n)^4/(n-1)^15/(n^n)^4+3/4/(n^n)*n^13*(n-4)^n/(n-4)^9-123/4/(n^ n)*n^12*(n-4)^n/(n-4)^9+549/(n^n)*n^11*(n-4)^n/(n-4)^9-11223/2/(n^n)*n^10*(n-4) ^n/(n-4)^9+145215/4/(n^n)*n^9*(n-4)^n/(n-4)^9-620235/4/(n^n)*n^8*(n-4)^n/(n-4)^ 9+883857/2/(n^n)*n^7*(n-4)^n/(n-4)^9-827931/(n^n)*n^6*(n-4)^n/(n-4)^9+972738/(n ^n)*n^5*(n-4)^n/(n-4)^9-644328/(n^n)*n^4*(n-4)^n/(n-4)^9+181440/(n^n)*n^3*(n-4) ^n/(n-4)^9+6*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2+7/4/(n^n)*n^10*(n-3)^n/(n-3)^7-161 /4/(n^n)*n^9*(n-3)^n/(n-3)^7+1519/4/(n^n)*n^8*(n-3)^n/(n-3)^7-7595/4/(n^n)*n^7* (n-3)^n/(n-3)^7+10829/2/(n^n)*n^6*(n-3)^n/(n-3)^7-8771/(n^n)*n^5*(n-3)^n/(n-3)^ 7+7434/(n^n)*n^4*(n-3)^n/(n-3)^7-2520/(n^n)*n^3*(n-3)^n/(n-3)^7-648*n^15*((n-1) ^n)^5/(n-1)^19/(n^n)^5-4/(n^n)*n^15*(n-5)^n/(n-5)^11-7871/4/(n^n)*n^13*(n-5)^n/ (n-5)^11+1841/16/(n^n)*n^14*(n-5)^n/(n-5)^11+1/16/(n^n)*n^16*(n-5)^n/(n-5)^11+ 16073123/16/(n^n)*n^10*(n-5)^n/(n-5)^11+356763/16/(n^n)*n^12*(n-5)^n/(n-5)^11+ 39544221/(n^n)*n^6*(n-5)^n/(n-5)^11-38443104/(n^n)*n^5*(n-5)^n/(n-5)^11-353199/ 2/(n^n)*n^11*(n-5)^n/(n-5)^11+12433036/(n^n)*n^8*(n-5)^n/(n-5)^11-16600463/4/(n ^n)*n^9*(n-5)^n/(n-5)^11+21839760/(n^n)*n^4*(n-5)^n/(n-5)^11-26629009/(n^n)*n^7 *(n-5)^n/(n-5)^11-5443200/(n^n)*n^3*(n-5)^n/(n-5)^11+1/4*n^24*((n-1)^n)^5/(n-1) ^19/(n^n)^5-11/2*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+107/2*n^22*((n-1)^n)^5/(n-1) ^19/(n^n)^5-302*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+4361/4*n^20*((n-1)^n)^5/(n-1) ^19/(n^n)^5-5221/2*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+4146*n^18*((n-1)^n)^5/(n-1 )^19/(n^n)^5-4212*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5+2484*n^16*((n-1)^n)^5/(n-1) ^19/(n^n)^5-1/2*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+7/2*n^8*((n-1)^n)^2/(n-1)^7/(n^ n)^2-8*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-5*(n-2)^n/ (n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/(n^n)*n^4+ 12*(n-2)^n/(n-2)^5/(n^n)*n^3-3/4*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^4+51/4*n^18*(( n-1)^n)^4/(n-1)^15/(n^n)^4-369/4*n^17*((n-1)^n)^4/(n-1)^15/(n^n)^4+1473/4*n^16* ((n-1)^n)^4/(n-1)^15/(n^n)^4-876*n^15*((n-1)^n)^4/(n-1)^15/(n^n)^4+1242*n^14*(( n-1)^n)^4/(n-1)^15/(n^n)^4-972*n^13*((n-1)^n)^4/(n-1)^15/(n^n)^4-3/4*n^15*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+24*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3 )^8-657/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+2520*n^12*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-3)^n/(n-3)^8-47691/4*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+ 36036*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8-69504*n^9*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^8+82380*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8-54324*n ^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^8+15120*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n -3)^n/(n-3)^8-1/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+23/2*n^17*(n-1)^ n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+13/4*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-\ 4)^10-1201/16*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+1017*n^15*(n-1)^n/( n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-143883/16*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/ (n-4)^10+218469/4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-3734723/16*n^12 *(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+1413367/2*n^11*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-4)^n/(n-4)^10-1502891*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+ 2187267*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-2064861*n^8*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^10+1132812*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10 -72*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3+3/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2) ^n/(n-2)^5-15*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+129*n^15*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-1245/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -2)^n/(n-2)^5+7365/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-6825/2*n^ 12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+3861*n^11*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-2)^n/(n-2)^5-2430*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+648 *n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+3/2*n^17*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-2)^n/(n-2)^6-33*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6+309* n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6+11886*n^11*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-2)^n/(n-2)^6-7812*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6+ 10167/2*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6-9987*n^12*((n-1)^n)^2/ (n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6+2160*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n -2)^6-1608*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^6-3/2*n^15*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^7+42*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-\ 507*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+3462*n^12*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^7-29463/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+40488* n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-71808*n^9*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^7+79128*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-49032*n^7*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+12960*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/ (n-3)^7-n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+15*n^11*(n-1)^n/(n-1)^4/(n ^n)^2*(n-2)^n/(n-2)^5 The, 2, 1, mixed moment of, X[2], and , X[3], is 11 n n 10 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 47 n (n - 1) (n - 2) 97 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 48 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ----------------------- + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 55 n (n - 1) (n - 2) 120 n (n - 1) (n - 2) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n 3 124 n (n - 1) (n - 2) 48 n (n - 1) (n - 2) 24 n ((n - 1) ) - ------------------------ + ----------------------- + ----------------- 3 n 2 5 3 n 2 5 10 n 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 6 n 2 9 n 2 8 n 2 6 n ((n - 1) ) n ((n - 1) ) 7 n ((n - 1) ) + ---------------- - ---------------- + ---------------- 7 n 2 7 n 2 7 n 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 7 n 2 n 7 n 6 n 5 8 n ((n - 1) ) (n - 2) n 5 (n - 2) n 35 (n - 2) n - ---------------- + ------------- - ------------- + -------------- 7 n 2 5 n 5 n 5 n (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 4 n 3 13 n 3 12 n 3 25 (n - 2) n 12 (n - 2) n n ((n - 1) ) 9 n ((n - 1) ) - -------------- + -------------- + --------------- - ----------------- 5 n 5 n 10 n 3 10 n 3 (n - 2) n (n - 2) n (n - 1) (n ) (n - 1) (n ) 11 n 3 10 n 3 9 n 8 n 30 n ((n - 1) ) 44 n ((n - 1) ) n (n - 3) 17 n (n - 3) + ------------------ - ------------------ + ------------- - -------------- 10 n 3 10 n 3 n 6 n 6 (n - 1) (n ) (n - 1) (n ) 2 n (n - 3) 2 n (n - 3) 7 n 6 n 5 n 4 n 115 n (n - 3) 395 n (n - 3) 362 n (n - 3) 334 n (n - 3) + --------------- - --------------- + --------------- - --------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 3 n 120 n (n - 3) + --------------- n 6 n (n - 3) and in Maple notation -1/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+11/2*n^10*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^4-47/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+97/2*n^8* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-48*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/ (n-2)^4+18*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-n^11*(n-1)^n/(n-1)^3/(n^ n)^2*(n-2)^n/(n-2)^5+12*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-55*n^9*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+120*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n -2)^5-124*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+48*n^6*(n-1)^n/(n-1)^3/(n ^n)^2*(n-2)^n/(n-2)^5+24*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3+6*n^6*((n-1)^n)^2/(n-\ 1)^7/(n^n)^2-1/2*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+7/2*n^8*((n-1)^n)^2/(n-1)^7/(n ^n)^2-8*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-5*(n-2)^n /(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/(n^n)*n^4+ 12*(n-2)^n/(n-2)^5/(n^n)*n^3+n^13*((n-1)^n)^3/(n-1)^10/(n^n)^3-9*n^12*((n-1)^n) ^3/(n-1)^10/(n^n)^3+30*n^11*((n-1)^n)^3/(n-1)^10/(n^n)^3-44*n^10*((n-1)^n)^3/(n -1)^10/(n^n)^3+1/2/(n^n)*n^9*(n-3)^n/(n-3)^6-17/2/(n^n)*n^8*(n-3)^n/(n-3)^6+115 /2/(n^n)*n^7*(n-3)^n/(n-3)^6-395/2/(n^n)*n^6*(n-3)^n/(n-3)^6+362/(n^n)*n^5*(n-3 )^n/(n-3)^6-334/(n^n)*n^4*(n-3)^n/(n-3)^6+120/(n^n)*n^3*(n-3)^n/(n-3)^6 The, 2, 2, mixed moment of, X[2], and , X[3], is 11 n n 10 n n 9 n n n (n - 1) (n - 2) 12 n (n - 1) (n - 2) 55 n (n - 1) (n - 2) - ----------------------- + ------------------------ - ----------------------- 3 n 2 5 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 120 n (n - 1) (n - 2) 124 n (n - 1) (n - 2) + ------------------------ - ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n 3 10 n n 48 n (n - 1) (n - 2) 12 n ((n - 1) ) 91 n (n - 1) (n - 2) + ----------------------- + ----------------- - ------------------------- 3 n 2 5 10 n 3 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 285 n (n - 1) (n - 2) 242 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 5 4 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 12 n 4 210 n (n - 1) (n - 2) 72 n (n - 1) (n - 2) 108 n ((n - 1) ) + ------------------------ - ----------------------- - ------------------- 4 n 2 5 4 n 2 5 14 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 14 n 3 13 n 3 12 n 3 n ((n - 1) ) 3 n ((n - 1) ) 57 n ((n - 1) ) + ----------------- - ----------------- + ------------------ 11 n 3 11 n 3 11 n 3 4 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) 11 n 3 10 n 3 12 n 2 n 67 n ((n - 1) ) 39 n ((n - 1) ) 863 n ((n - 1) ) (n - 2) - ------------------ + ------------------ + ---------------------------- 11 n 3 11 n 3 8 n 3 4 2 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 549 n ((n - 1) ) (n - 2) 189 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 14 n 2 n 54 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 16 n 2 n 199 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 12 n n 4 n ((n - 1) ) (n - 2) 103 n (n - 1) (n - 3) - -------------------------- - ------------------------- 8 n 3 4 4 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n n 10 n n 536 n (n - 1) (n - 3) 3389 n (n - 1) (n - 3) + ------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 3329 n (n - 1) (n - 3) 3962 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2604 n (n - 1) (n - 3) 720 n (n - 1) (n - 3) + ------------------------- - ------------------------ 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 11 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 529 n ((n - 1) ) (n - 2) 394 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 625 n ((n - 1) ) (n - 2) 757 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 14 n 2 n 120 n ((n - 1) ) (n - 2) 149 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n n 13 n n n (n - 1) (n - 3) 25 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 263 n (n - 1) (n - 3) 1519 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 2632 n (n - 1) (n - 3) 5600 n (n - 1) (n - 3) - -------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 7136 n (n - 1) (n - 3) 4968 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n 2 n 1440 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) - ------------------------- + ------------------------ 3 n 2 7 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 17 n ((n - 1) ) (n - 2) 121 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 467 n ((n - 1) ) (n - 2) 1054 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1388 n ((n - 1) ) (n - 2) 984 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n 9 n 288 n ((n - 1) ) (n - 2) n (n - 3) 23 n (n - 3) - --------------------------- + ------------- - -------------- 7 n 3 5 n 7 n 7 (n - 1) (n ) (n - 2) 4 n (n - 3) 4 n (n - 3) 8 n 7 n 6 n 5 n 217 n (n - 3) 1085 n (n - 3) 1547 n (n - 3) 1253 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 2 n (n - 3) n (n - 3) 4 n 3 n n 7 n 6 1062 n (n - 3) 360 n (n - 3) (n - 2) n 5 (n - 2) n + ---------------- - --------------- + ------------- - ------------- n 7 n 7 5 n 5 n n (n - 3) n (n - 3) 2 (n - 2) n (n - 2) n n 5 n 4 n 3 13 n 3 35 (n - 2) n 25 (n - 2) n 12 (n - 2) n n ((n - 1) ) + -------------- - -------------- + -------------- + ----------------- 5 n 5 n 5 n 10 n 3 2 (n - 2) n (n - 2) n (n - 2) n 2 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 9 n ((n - 1) ) 15 n ((n - 1) ) 22 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 10 n 3 10 n 3 10 n 3 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 9 n 8 n 7 n 6 n n (n - 3) 17 n (n - 3) 115 n (n - 3) 395 n (n - 3) + ------------- - -------------- + --------------- - --------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 18 n 4 362 n (n - 3) 334 n (n - 3) 120 n (n - 3) 3 n ((n - 1) ) + --------------- - --------------- + --------------- - ----------------- n 6 n 6 n 6 14 n 4 n (n - 3) n (n - 3) n (n - 3) 4 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 21 n ((n - 1) ) 243 n ((n - 1) ) 186 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 2 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 12 n 318 n ((n - 1) ) 288 n ((n - 1) ) n (n - 4) - ------------------- + ------------------- + ------------- 14 n 4 14 n 4 n 8 (n - 1) (n ) (n - 1) (n ) 4 n (n - 4) 11 n 10 n 9 n 33 n (n - 4) 117 n (n - 4) 1869 n (n - 4) - --------------- + ---------------- - ---------------- n 8 n 8 n 8 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 18501 n (n - 4) 58737 n (n - 4) 59671 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 37293 n (n - 4) 25902 n (n - 4) 7560 n (n - 4) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 9 n 3 12 n n 18 n ((n - 1) ) n (n - 1) (n - 2) - ----------------- - ------------------------- 11 n 3 4 n 2 5 (n - 1) (n ) 2 (n - 1) (n ) (n - 2) 11 n n 15 n (n - 1) (n - 2) + ------------------------- 4 n 2 5 2 (n - 1) (n ) (n - 2) and in Maple notation -n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+12*n^10*(n-1)^n/(n-1)^3/(n^n)^2*( n-2)^n/(n-2)^5-55*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+120*n^8*(n-1)^n/( n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-124*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+ 48*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+12*n^9*((n-1)^n)^3/(n-1)^10/(n^n )^3-91/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+285/2*n^9*(n-1)^n/(n-1)^4 /(n^n)^2*(n-2)^n/(n-2)^5-242*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+210*n^ 7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-72*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^ n/(n-2)^5-108*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/4*n^14*((n-1)^n)^3/(n-1)^11/( n^n)^3-3*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^3+57/4*n^12*((n-1)^n)^3/(n-1)^11/(n^n) ^3-67/2*n^11*((n-1)^n)^3/(n-1)^11/(n^n)^3+39*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+ 863/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-549/2*n^11*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+189*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-\ 2)^4-54*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+27*n^14*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-2)^n/(n-2)^4-199/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-\ 2)^4+1/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-4*n^15*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-2)^n/(n-2)^4-103*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+ 536*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3389/2*n^10*(n-1)^n/(n-1)^4/(n ^n)^2*(n-3)^n/(n-3)^6+3329*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3962*n^8 *(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+2604*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3) ^n/(n-3)^6-720*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-1/2*n^14*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-3)^n/(n-3)^6+11*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1/ 4*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-19/4*n^15*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-2)^n/(n-2)^6-529*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+ 394*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-625/4*n^13*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-2)^n/(n-2)^6+757/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-\ 2)^6-120*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+149/4*n^14*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-1/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3) ^7+25/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-263/2*n^12*(n-1)^n/(n-1)^3 /(n^n)^2*(n-3)^n/(n-3)^7+1519/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-\ 2632*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+5600*n^9*(n-1)^n/(n-1)^3/(n^n )^2*(n-3)^n/(n-3)^7-7136*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+4968*n^7*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-1440*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n /(n-3)^7+n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-17*n^15*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+121*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-\ 2)^5-467*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1054*n^12*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1388*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/ (n-2)^5+984*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-288*n^9*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1/4/(n^n)*n^10*(n-3)^n/(n-3)^7-23/4/(n^n)*n^9 *(n-3)^n/(n-3)^7+217/4/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/4/(n^n)*n^7*(n-3)^n/(n-3) ^7+1547/2/(n^n)*n^6*(n-3)^n/(n-3)^7-1253/(n^n)*n^5*(n-3)^n/(n-3)^7+1062/(n^n)*n ^4*(n-3)^n/(n-3)^7-360/(n^n)*n^3*(n-3)^n/(n-3)^7+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-\ 5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/( n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3+1/2*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^3-9/2 *n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+15*n^11*((n-1)^n)^3/(n-1)^10/(n^n)^3-22*n^10 *((n-1)^n)^3/(n-1)^10/(n^n)^3+1/2/(n^n)*n^9*(n-3)^n/(n-3)^6-17/2/(n^n)*n^8*(n-3 )^n/(n-3)^6+115/2/(n^n)*n^7*(n-3)^n/(n-3)^6-395/2/(n^n)*n^6*(n-3)^n/(n-3)^6+362 /(n^n)*n^5*(n-3)^n/(n-3)^6-334/(n^n)*n^4*(n-3)^n/(n-3)^6+120/(n^n)*n^3*(n-3)^n/ (n-3)^6-3/4*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+21/2*n^17*((n-1)^n)^4/(n-1)^14/(n ^n)^4-243/4*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+186*n^15*((n-1)^n)^4/(n-1)^14/(n^ n)^4-318*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+288*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^ 4+1/4/(n^n)*n^12*(n-4)^n/(n-4)^8-33/4/(n^n)*n^11*(n-4)^n/(n-4)^8+117/(n^n)*n^10 *(n-4)^n/(n-4)^8-1869/2/(n^n)*n^9*(n-4)^n/(n-4)^8+18501/4/(n^n)*n^8*(n-4)^n/(n-\ 4)^8-58737/4/(n^n)*n^7*(n-4)^n/(n-4)^8+59671/2/(n^n)*n^6*(n-4)^n/(n-4)^8-37293/ (n^n)*n^5*(n-4)^n/(n-4)^8+25902/(n^n)*n^4*(n-4)^n/(n-4)^8-7560/(n^n)*n^3*(n-4)^ n/(n-4)^8-18*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3-1/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2* (n-2)^n/(n-2)^5+15/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5 The, 2, 3, mixed moment of, X[2], and , X[3], is 23 n 5 22 n 5 21 n 5 n ((n - 1) ) 19 n ((n - 1) ) 157 n ((n - 1) ) ----------------- - ------------------ + ------------------- 18 n 5 18 n 5 18 n 5 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 737 n ((n - 1) ) 1075 n ((n - 1) ) 1996 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 18 n 5 18 n 5 18 n 5 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 11 n 2304 n ((n - 1) ) 1512 n ((n - 1) ) 172023 n (n - 5) + -------------------- - -------------------- + ------------------- 18 n 5 18 n 5 n 10 (n - 1) (n ) (n - 1) (n ) 8 n (n - 5) 10 n 9 n 8 n 552681 n (n - 5) 5019503 n (n - 5) 8103411 n (n - 5) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 4 n (n - 5) 8 n (n - 5) 4 n (n - 5) 7 n 6 n 5 n 9215089 n (n - 5) 7182573 n (n - 5) 7262712 n (n - 5) + ------------------- - ------------------- + ------------------- n 10 n 10 n 10 2 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 14 n 4259088 n (n - 5) 1088640 n (n - 5) 27 n (n - 5) - ------------------- + ------------------- - --------------- n 10 n 10 n 10 n (n - 5) n (n - 5) 4 n (n - 5) 13 n 12 n 15 n 1301 n (n - 5) 9237 n (n - 5) n (n - 5) + ----------------- - ----------------- + -------------- n 10 n 10 n 10 8 n (n - 5) 4 n (n - 5) 8 n (n - 5) 21 n 3 n 20 n 3 n n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 4 12 n 4 4 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 1428 n ((n - 1) ) (n - 2) 1323 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 702 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 3501 n ((n - 1) ) (n - 2) 7801 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 97 n ((n - 1) ) (n - 2) 517 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 11 n 4 5 11 n 4 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 159 n ((n - 1) ) (n - 2) 1761 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 12345 n ((n - 1) ) (n - 2) 7095 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 11 n 4 5 11 n 4 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 10686 n ((n - 1) ) (n - 2) 10152 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 5508 n ((n - 1) ) (n - 2) 1296 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 3 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 29955 n ((n - 1) ) (n - 3) 90105 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 46161 n ((n - 1) ) (n - 3) 31791 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 28134 n ((n - 1) ) (n - 3) 14418 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 3240 n ((n - 1) ) (n - 3) 483 n ((n - 1) ) (n - 3) + ---------------------------- + ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 20 n 3 n 3351 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 8 n 3 6 10 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 375 n ((n - 1) ) (n - 2) 1113 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 4 6 10 n 4 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 7896 n ((n - 1) ) (n - 2) 4446 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 10077 n ((n - 1) ) (n - 2) 7965 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 1080 n ((n - 1) ) (n - 2) 16599 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 21 n 3 n 18 n 2 n 3 n ((n - 1) ) (n - 2) 45 n ((n - 1) ) (n - 3) - -------------------------- - --------------------------- 10 n 4 6 7 n 3 7 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 591 n ((n - 1) ) (n - 3) 2238 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 3 7 7 n 3 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 43311 n ((n - 1) ) (n - 3) 69951 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 7 n 3 7 7 n 3 7 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 76392 n ((n - 1) ) (n - 3) 111372 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 103644 n ((n - 1) ) (n - 3) 55512 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 12960 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n n 16 n n 3 n (n - 1) (n - 4) 57 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 1917 n (n - 1) (n - 4) 4707 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 119997 n (n - 1) (n - 4) 260505 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 1572099 n (n - 1) (n - 4) 411864 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 587070 n (n - 1) (n - 4) 541242 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 289818 n (n - 1) (n - 4) 68040 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 3) 17 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 6 n 3 8 6 n 3 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 251 n ((n - 1) ) (n - 3) 1059 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 22617 n ((n - 1) ) (n - 3) 39921 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 8 6 n 3 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 23596 n ((n - 1) ) (n - 3) 36898 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 36514 n ((n - 1) ) (n - 3) 20628 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n n 5040 n ((n - 1) ) (n - 3) 43 n (n - 1) (n - 4) + ---------------------------- + ------------------------- 6 n 3 8 3 n 2 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 407 n (n - 1) (n - 4) 4473 n (n - 1) (n - 4) - ------------------------- + -------------------------- 3 n 2 9 3 n 2 9 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 63369 n (n - 1) (n - 4) 303555 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 250682 n (n - 1) (n - 4) 570596 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 876200 n (n - 1) (n - 4) 863268 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 490032 n (n - 1) (n - 4) 120960 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 11 n n n (n - 1) (n - 4) n (n - 1) (n - 2) - ------------------------- - ----------------------- 3 n 2 9 3 n 2 5 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 10 n n 9 n n 12 n (n - 1) (n - 2) 55 n (n - 1) (n - 2) + ------------------------ - ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 120 n (n - 1) (n - 2) 124 n (n - 1) (n - 2) + ------------------------ - ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n 3 10 n n 48 n (n - 1) (n - 2) 12 n ((n - 1) ) 273 n (n - 1) (n - 2) + ----------------------- + ----------------- - ------------------------- 3 n 2 5 10 n 3 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 855 n (n - 1) (n - 2) 363 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 5 4 n 2 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 315 n (n - 1) (n - 2) 108 n (n - 1) (n - 2) + ------------------------ - ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 4 12 n 4 12 n n 108 n ((n - 1) ) 54 n ((n - 1) ) 309 n (n - 1) (n - 3) - ------------------- + ------------------ - ------------------------- 14 n 4 15 n 4 4 n 2 6 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 804 n (n - 1) (n - 3) 10167 n (n - 1) (n - 3) + ------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 9 n n 8 n n 9987 n (n - 1) (n - 3) 5943 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 3906 n (n - 1) (n - 3) 1080 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 33 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 57 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1587 n ((n - 1) ) (n - 2) 1182 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 1875 n ((n - 1) ) (n - 2) 2271 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n 2 n 14 n 2 n 360 n ((n - 1) ) (n - 2) 447 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n n 13 n n 3 n (n - 1) (n - 3) 75 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 789 n (n - 1) (n - 3) 4557 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 7896 n (n - 1) (n - 3) 16800 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 21408 n (n - 1) (n - 3) 14904 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 12 n 4320 n (n - 1) (n - 3) n (n - 4) 41 n (n - 4) - ------------------------- + ------------- - --------------- 3 n 2 7 n 9 n 9 (n - 1) (n ) (n - 3) 8 n (n - 4) 8 n (n - 4) 11 n 10 n 9 n 183 n (n - 4) 3741 n (n - 4) 48405 n (n - 4) + ---------------- - ----------------- + ----------------- n 9 n 9 n 9 2 n (n - 4) 4 n (n - 4) 8 n (n - 4) 8 n 7 n 6 n 206745 n (n - 4) 294619 n (n - 4) 275977 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 8 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 162123 n (n - 4) 107388 n (n - 4) 30240 n (n - 4) + ------------------ - ------------------ + ----------------- n 9 n 9 n 9 n (n - 4) n (n - 4) n (n - 4) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 51 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 363 n ((n - 1) ) (n - 2) 1401 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 1581 n ((n - 1) ) (n - 2) 2082 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1476 n ((n - 1) ) (n - 2) 432 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 9 n 8 n 7 n 3 n (n - 3) 69 n (n - 3) 651 n (n - 3) 3255 n (n - 3) + -------------- - -------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 4641 n (n - 3) 3759 n (n - 3) 3186 n (n - 3) + ---------------- - ---------------- + ---------------- n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) 3 n 15 n 5 n 7 n 6 1080 n (n - 3) 432 n ((n - 1) ) (n - 2) n 5 (n - 2) n - ---------------- + ------------------- + ------------- - ------------- n 7 18 n 5 5 n 5 n n (n - 3) (n - 1) (n ) 2 (n - 2) n (n - 2) n n 5 n 4 n 3 13 n 3 35 (n - 2) n 25 (n - 2) n 12 (n - 2) n n ((n - 1) ) + -------------- - -------------- + -------------- + ----------------- 5 n 5 n 5 n 10 n 3 2 (n - 2) n (n - 2) n (n - 2) n 2 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 9 n ((n - 1) ) 15 n ((n - 1) ) 22 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 10 n 3 10 n 3 10 n 3 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 9 n 8 n 7 n 6 n n (n - 3) 17 n (n - 3) 115 n (n - 3) 395 n (n - 3) + ------------- - -------------- + --------------- - --------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 18 n 4 362 n (n - 3) 334 n (n - 3) 120 n (n - 3) 3 n ((n - 1) ) + --------------- - --------------- + --------------- - ----------------- n 6 n 6 n 6 14 n 4 n (n - 3) n (n - 3) n (n - 3) 4 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 21 n ((n - 1) ) 243 n ((n - 1) ) 186 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 2 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 12 n 318 n ((n - 1) ) 288 n ((n - 1) ) 3 n (n - 4) - ------------------- + ------------------- + -------------- 14 n 4 14 n 4 n 8 (n - 1) (n ) (n - 1) (n ) 4 n (n - 4) 11 n 10 n 9 n 99 n (n - 4) 351 n (n - 4) 5607 n (n - 4) - --------------- + ---------------- - ---------------- n 8 n 8 n 8 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 55503 n (n - 4) 176211 n (n - 4) 179013 n (n - 4) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 111879 n (n - 4) 77706 n (n - 4) 22680 n (n - 4) - ------------------ + ----------------- - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 19 n 4 18 n 4 17 n 4 n ((n - 1) ) 17 n ((n - 1) ) 123 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 15 n 4 15 n 4 15 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 491 n ((n - 1) ) 146 n ((n - 1) ) 207 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 15 n 4 15 n 4 15 n 4 8 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 4 17 n 2 n 162 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) - ------------------- + -------------------------- 15 n 4 8 n 3 5 (n - 1) (n ) 8 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 129 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1245 n ((n - 1) ) (n - 2) 7365 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6825 n ((n - 1) ) (n - 2) 3861 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1215 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 3 n (n - 1) (n - 3) 21 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 507 n (n - 1) (n - 3) 1731 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 29463 n (n - 1) (n - 3) 10122 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 17952 n (n - 1) (n - 3) 19782 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 12258 n (n - 1) (n - 3) 3240 n (n - 1) (n - 3) - -------------------------- + ------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 3 n (n - 1) (n - 2) 45 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) and in Maple notation 1/2*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^5-19/2*n^22*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 157/2*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^5-737/2*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^5 +1075*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^5-1996*n^18*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 2304*n^17*((n-1)^n)^5/(n-1)^18/(n^n)^5-1512*n^16*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 172023/8/(n^n)*n^11*(n-5)^n/(n-5)^10-552681/4/(n^n)*n^10*(n-5)^n/(n-5)^10+ 5019503/8/(n^n)*n^9*(n-5)^n/(n-5)^10-8103411/4/(n^n)*n^8*(n-5)^n/(n-5)^10+ 9215089/2/(n^n)*n^7*(n-5)^n/(n-5)^10-7182573/(n^n)*n^6*(n-5)^n/(n-5)^10+7262712 /(n^n)*n^5*(n-5)^n/(n-5)^10-4259088/(n^n)*n^4*(n-5)^n/(n-5)^10+1088640/(n^n)*n^ 3*(n-5)^n/(n-5)^10-27/4/(n^n)*n^14*(n-5)^n/(n-5)^10+1301/8/(n^n)*n^13*(n-5)^n/( n-5)^10-9237/4/(n^n)*n^12*(n-5)^n/(n-5)^10+1/8/(n^n)*n^15*(n-5)^n/(n-5)^10-1/8* n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+21/8*n^20*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^4-1428*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2) ^4+1323*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-702*n^13*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+162*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/ (n-2)^4-3501/8*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+7801/8*n^16*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-97/4*n^19*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-2)^n/(n-2)^4+517/4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-3/4* n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+33/2*n^20*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-2)^n/(n-2)^5-159*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^ 5+1761/2*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-12345/4*n^17*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+7095*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -2)^n/(n-2)^5-10686*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+10152*n^ 14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-5508*n^13*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-2)^n/(n-2)^5+1296*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+ 3/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-81/8*n^18*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^6+29955/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n -3)^6-90105/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+46161/2*n^13*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-31791*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-3)^n/(n-3)^6+28134*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-14418*n ^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+3240*n^9*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^6+483/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-\ 3351/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+9*n^20*((n-1)^n)^3/(n-1 )^10/(n^n)^4*(n-2)^n/(n-2)^6-375/4*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n -2)^6+1113/2*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6+7896*n^14*((n-1) ^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-4446*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*( n-2)^n/(n-2)^6+10077/2*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-7965*n ^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6+1080*n^12*((n-1)^n)^3/(n-1)^10 /(n^n)^4*(n-2)^n/(n-2)^6-16599/8*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2 )^6-3/8*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-45/2*n^18*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+591/2*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n /(n-3)^7-2238*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+43311/4*n^15*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-69951/2*n^14*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-3)^n/(n-3)^7+76392*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-\ 111372*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+103644*n^11*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-55512*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n /(n-3)^7+12960*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+3/4*n^19*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-3/8*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^8+57/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-1917/8*n^15*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^8+4707/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4) ^8-119997/8*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+260505/4*n^12*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-1572099/8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/ (n-4)^8+411864*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-587070*n^9*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+541242*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^8-289818*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+68040*n^6*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^8+1/8*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-\ 17/4*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+251/4*n^17*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^8-1059/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/( n-3)^8+22617/8*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-39921/4*n^14*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+23596*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-3)^n/(n-3)^8-36898*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+36514* n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-20628*n^10*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-3)^n/(n-3)^8+5040*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+ 43/4*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-407/2*n^15*(n-1)^n/(n-1)^3/(n ^n)^2*(n-4)^n/(n-4)^9+4473/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-63369 /4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+303555/4*n^12*(n-1)^n/(n-1)^3/( n^n)^2*(n-4)^n/(n-4)^9-250682*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+ 570596*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-876200*n^9*(n-1)^n/(n-1)^3/ (n^n)^2*(n-4)^n/(n-4)^9+863268*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-\ 490032*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+120960*n^6*(n-1)^n/(n-1)^3/( n^n)^2*(n-4)^n/(n-4)^9-1/4*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-n^11*(n -1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+12*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/( n-2)^5-55*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+120*n^8*(n-1)^n/(n-1)^3/( n^n)^2*(n-2)^n/(n-2)^5-124*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+48*n^6*( n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+12*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3-273/ 4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+855/4*n^9*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-2)^n/(n-2)^5-363*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+315*n^7*(n-1) ^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-108*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2 )^5-108*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4+54*n^12*((n-1)^n)^4/(n-1)^15/(n^n)^4-\ 309/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+804*n^11*(n-1)^n/(n-1)^4/(n^ n)^2*(n-3)^n/(n-3)^6-10167/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+9987/ 2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-5943*n^8*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^6+3906*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-1080*n^6*(n-1) ^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^6+33/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+3/4*n^16*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-2)^n/(n-2)^6-57/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2 )^6-1587*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+1182*n^10*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-1875/4*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^ n/(n-2)^6+2271/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-360*n^9*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+447/4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-2)^n/(n-2)^6-3/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+75/2*n^13*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-789/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/( n-3)^7+4557/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-7896*n^10*(n-1)^n/(n -1)^3/(n^n)^2*(n-3)^n/(n-3)^7+16800*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7 -21408*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+14904*n^7*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^7-4320*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+1/8/(n^n )*n^13*(n-4)^n/(n-4)^9-41/8/(n^n)*n^12*(n-4)^n/(n-4)^9+183/2/(n^n)*n^11*(n-4)^n /(n-4)^9-3741/4/(n^n)*n^10*(n-4)^n/(n-4)^9+48405/8/(n^n)*n^9*(n-4)^n/(n-4)^9-\ 206745/8/(n^n)*n^8*(n-4)^n/(n-4)^9+294619/4/(n^n)*n^7*(n-4)^n/(n-4)^9-275977/2/ (n^n)*n^6*(n-4)^n/(n-4)^9+162123/(n^n)*n^5*(n-4)^n/(n-4)^9-107388/(n^n)*n^4*(n-\ 4)^n/(n-4)^9+30240/(n^n)*n^3*(n-4)^n/(n-4)^9+3/2*n^16*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-2)^n/(n-2)^5-51/2*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+363/2* n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1401/2*n^13*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-2)^n/(n-2)^5+1581*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5 -2082*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1476*n^10*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-2)^n/(n-2)^5-432*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2) ^5+3/4/(n^n)*n^10*(n-3)^n/(n-3)^7-69/4/(n^n)*n^9*(n-3)^n/(n-3)^7+651/4/(n^n)*n^ 8*(n-3)^n/(n-3)^7-3255/4/(n^n)*n^7*(n-3)^n/(n-3)^7+4641/2/(n^n)*n^6*(n-3)^n/(n-\ 3)^7-3759/(n^n)*n^5*(n-3)^n/(n-3)^7+3186/(n^n)*n^4*(n-3)^n/(n-3)^7-1080/(n^n)*n ^3*(n-3)^n/(n-3)^7+432*n^15*((n-1)^n)^5/(n-1)^18/(n^n)^5+1/2*(n-2)^n/(n-2)^5/(n ^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/( n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3+1/2*n^13*((n-1)^n)^3/(n-1)^10/(n^ n)^3-9/2*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+15*n^11*((n-1)^n)^3/(n-1)^10/(n^n)^3 -22*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+1/2/(n^n)*n^9*(n-3)^n/(n-3)^6-17/2/(n^n)* n^8*(n-3)^n/(n-3)^6+115/2/(n^n)*n^7*(n-3)^n/(n-3)^6-395/2/(n^n)*n^6*(n-3)^n/(n-\ 3)^6+362/(n^n)*n^5*(n-3)^n/(n-3)^6-334/(n^n)*n^4*(n-3)^n/(n-3)^6+120/(n^n)*n^3* (n-3)^n/(n-3)^6-3/4*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+21/2*n^17*((n-1)^n)^4/(n-\ 1)^14/(n^n)^4-243/4*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+186*n^15*((n-1)^n)^4/(n-1 )^14/(n^n)^4-318*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+288*n^13*((n-1)^n)^4/(n-1)^ 14/(n^n)^4+3/4/(n^n)*n^12*(n-4)^n/(n-4)^8-99/4/(n^n)*n^11*(n-4)^n/(n-4)^8+351/( n^n)*n^10*(n-4)^n/(n-4)^8-5607/2/(n^n)*n^9*(n-4)^n/(n-4)^8+55503/4/(n^n)*n^8*(n -4)^n/(n-4)^8-176211/4/(n^n)*n^7*(n-4)^n/(n-4)^8+179013/2/(n^n)*n^6*(n-4)^n/(n-\ 4)^8-111879/(n^n)*n^5*(n-4)^n/(n-4)^8+77706/(n^n)*n^4*(n-4)^n/(n-4)^8-22680/(n^ n)*n^3*(n-4)^n/(n-4)^8-1/8*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^4+17/8*n^18*((n-1)^n )^4/(n-1)^15/(n^n)^4-123/8*n^17*((n-1)^n)^4/(n-1)^15/(n^n)^4+491/8*n^16*((n-1)^ n)^4/(n-1)^15/(n^n)^4-146*n^15*((n-1)^n)^4/(n-1)^15/(n^n)^4+207*n^14*((n-1)^n)^ 4/(n-1)^15/(n^n)^4-162*n^13*((n-1)^n)^4/(n-1)^15/(n^n)^4+3/8*n^17*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-15/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n -2)^5+129/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-1245/4*n^14*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+7365/8*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^5-6825/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+3861/2*n ^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-1215*n^10*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^5+324*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-3/8* n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+21/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^7-507/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+1731/2*n^12* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-29463/8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n -3)^n/(n-3)^7+10122*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-17952*n^9*(n-1 )^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+19782*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^7-12258*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+3240*n^6*(n-1)^n/(n-1) ^4/(n^n)^2*(n-3)^n/(n-3)^7-3/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+45/ 4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5 The, 2, 4, mixed moment of, X[2], and , X[3], is 23 n 5 22 n 5 21 n 5 3 n ((n - 1) ) 57 n ((n - 1) ) 471 n ((n - 1) ) ----------------- - ------------------ + ------------------- 18 n 5 18 n 5 18 n 5 4 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 2211 n ((n - 1) ) 3225 n ((n - 1) ) 2994 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 18 n 5 18 n 5 18 n 5 4 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 11 n 3456 n ((n - 1) ) 2268 n ((n - 1) ) 516069 n (n - 5) + -------------------- - -------------------- + ------------------- 18 n 5 18 n 5 n 10 (n - 1) (n ) (n - 1) (n ) 4 n (n - 5) 10 n 9 n 8 n 1658043 n (n - 5) 15058509 n (n - 5) 24310233 n (n - 5) - -------------------- + -------------------- - -------------------- n 10 n 10 n 10 2 n (n - 5) 4 n (n - 5) 2 n (n - 5) 7 n 6 n 5 n 27645267 n (n - 5) 43095438 n (n - 5) 43576272 n (n - 5) + -------------------- - -------------------- + -------------------- n 10 n 10 n 10 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 14 n 25554528 n (n - 5) 6531840 n (n - 5) 81 n (n - 5) - -------------------- + ------------------- - --------------- n 10 n 10 n 10 n (n - 5) n (n - 5) 2 n (n - 5) 13 n 12 n 15 n 3903 n (n - 5) 27711 n (n - 5) 3 n (n - 5) + ----------------- - ------------------ + -------------- n 10 n 10 n 10 4 n (n - 5) 2 n (n - 5) 4 n (n - 5) 21 n 3 n 20 n 3 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 11 n 4 5 11 n 4 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 318 n ((n - 1) ) (n - 2) 1761 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 12345 n ((n - 1) ) (n - 2) 14190 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 5 11 n 4 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 21372 n ((n - 1) ) (n - 2) 20304 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 11016 n ((n - 1) ) (n - 2) 2592 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 3 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 29955 n ((n - 1) ) (n - 3) 90105 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 46161 n ((n - 1) ) (n - 3) 63582 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 56268 n ((n - 1) ) (n - 3) 28836 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 6480 n ((n - 1) ) (n - 3) 483 n ((n - 1) ) (n - 3) + ---------------------------- + ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 20 n 3 n 3351 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 6 10 n 4 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 375 n ((n - 1) ) (n - 2) 2226 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 31584 n ((n - 1) ) (n - 2) 17784 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 20154 n ((n - 1) ) (n - 2) 31860 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 4320 n ((n - 1) ) (n - 2) 16599 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 21 n 3 n 18 n 2 n 3 n ((n - 1) ) (n - 2) 90 n ((n - 1) ) (n - 3) - -------------------------- - --------------------------- 10 n 4 6 7 n 3 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 1182 n ((n - 1) ) (n - 3) 8952 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 43311 n ((n - 1) ) (n - 3) 139902 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 305568 n ((n - 1) ) (n - 3) 445488 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 414576 n ((n - 1) ) (n - 3) 222048 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 51840 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n n 16 n n 3 n (n - 1) (n - 4) 57 n (n - 1) (n - 4) - ------------------------- + ------------------------ 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n n 14 n n 1917 n (n - 1) (n - 4) 9414 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 119997 n (n - 1) (n - 4) 260505 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 1572099 n (n - 1) (n - 4) 1647456 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 2348280 n (n - 1) (n - 4) 2164968 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1159272 n (n - 1) (n - 4) 272160 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 3 n ((n - 1) ) (n - 3) 51 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 753 n ((n - 1) ) (n - 3) 3177 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 67851 n ((n - 1) ) (n - 3) 119763 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 6 n 3 8 6 n 3 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 141576 n ((n - 1) ) (n - 3) 221388 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 219084 n ((n - 1) ) (n - 3) 123768 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n n 30240 n ((n - 1) ) (n - 3) 129 n (n - 1) (n - 4) + ----------------------------- + ------------------------- 6 n 3 8 3 n 2 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 15 n n 14 n n 1221 n (n - 1) (n - 4) 13419 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 190107 n (n - 1) (n - 4) 910665 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 1504092 n (n - 1) (n - 4) 3423576 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 5257200 n (n - 1) (n - 4) 5179608 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 2940192 n (n - 1) (n - 4) 725760 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 18 n 6 3 n (n - 1) (n - 4) 1620 n ((n - 1) ) - ------------------------- - -------------------- 3 n 2 9 22 n 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) 18 n 4 n 17 n 4 n 15885 n ((n - 1) ) (n - 2) 5805 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 16 n 5 4 16 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 2511 n ((n - 1) ) (n - 2) 486 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 16 n 5 4 16 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 305 n ((n - 1) ) (n - 2) 1065 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 9835 n ((n - 1) ) (n - 2) 15755 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 71435 n ((n - 1) ) (n - 2) 57255 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 15 n 5 5 15 n 5 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 164 n ((n - 1) ) (n - 2) 1183 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 11257 n ((n - 1) ) (n - 2) 37079 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 5 5 15 n 5 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 43119 n ((n - 1) ) (n - 2) 70768 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 80256 n ((n - 1) ) (n - 2) 59832 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 26352 n ((n - 1) ) (n - 2) 5184 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 271633 n ((n - 1) ) (n - 3) 286363 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 217048 n ((n - 1) ) (n - 3) 230556 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 162756 n ((n - 1) ) (n - 3) 68472 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 16 n 3 n 12960 n ((n - 1) ) (n - 3) 10657 n ((n - 1) ) (n - 2) - ------------------------------ - ------------------------------ 12 n 4 6 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 14070 n ((n - 1) ) (n - 2) 11988 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 5940 n ((n - 1) ) (n - 2) 1296 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 139 n ((n - 1) ) (n - 2) 905 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 5 12 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 7637 n ((n - 1) ) (n - 2) 21805 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 3) 8 n ((n - 1) ) (n - 3) - -------------------------- + -------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 463 n ((n - 1) ) (n - 3) 2003 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 23087 n ((n - 1) ) (n - 3) 23341 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 70686 n ((n - 1) ) (n - 2) 32076 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 77952 n ((n - 1) ) (n - 2) 91716 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 6480 n ((n - 1) ) (n - 2) 182427 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 4317 n ((n - 1) ) (n - 2) 43359 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 6 14 n 5 6 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 21 n 4 n 25 n 4 n 150015 n ((n - 1) ) (n - 2) 87 n ((n - 1) ) (n - 2) - ------------------------------- - --------------------------- 14 n 5 6 14 n 5 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 24 n 4 n 26 n 4 n 141 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 410169 n ((n - 1) ) (n - 3) 316236 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 703185 n ((n - 1) ) (n - 3) 1118856 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 1241964 n ((n - 1) ) (n - 3) 912384 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 397872 n ((n - 1) ) (n - 3) 77760 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 3 n ((n - 1) ) (n - 3) 105 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 11 n 4 7 11 n 4 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 825 n ((n - 1) ) (n - 3) 7701 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 16 n 2 n 95163 n ((n - 1) ) (n - 3) 70167 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 11 n 4 7 8 n 3 7 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 269835 n ((n - 1) ) (n - 3) 362637 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 170274 n ((n - 1) ) (n - 3) 218880 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 183222 n ((n - 1) ) (n - 3) 89748 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 19440 n ((n - 1) ) (n - 3) 225639 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 8 n 3 7 8 n 3 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 1233963 n ((n - 1) ) (n - 4) 4897131 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 14281467 n ((n - 1) ) (n - 4) 15301857 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 5947776 n ((n - 1) ) (n - 4) 6518448 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 4764582 n ((n - 1) ) (n - 4) 2079108 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 21 n 2 n 408240 n ((n - 1) ) (n - 4) 129 n ((n - 1) ) (n - 4) - ------------------------------ - ---------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 2505 n ((n - 1) ) (n - 4) 29097 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 3) + -------------------------- + -------------------------- 8 n 3 8 8 n 3 7 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 99 n ((n - 1) ) (n - 3) 363 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 24 n 3 n 6249 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------- 8 n 3 7 10 n 4 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 39 n ((n - 1) ) (n - 3) 339 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 10 n 4 8 10 n 4 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 3475 n ((n - 1) ) (n - 3) 46809 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 10 n 4 8 10 n 4 8 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 218343 n ((n - 1) ) (n - 3) 180920 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 8 10 n 4 8 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 429519 n ((n - 1) ) (n - 3) 725160 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 849172 n ((n - 1) ) (n - 3) 654528 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 297936 n ((n - 1) ) (n - 3) 60480 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n n (n - 1) (n - 2) 12 n (n - 1) (n - 2) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 55 n (n - 1) (n - 2) 120 n (n - 1) (n - 2) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n 3 124 n (n - 1) (n - 2) 48 n (n - 1) (n - 2) 12 n ((n - 1) ) - ------------------------ + ----------------------- + ----------------- 3 n 2 5 3 n 2 5 10 n 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 10 n n 9 n n 91 n (n - 1) (n - 2) 285 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 484 n (n - 1) (n - 2) 420 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 12 n 4 144 n (n - 1) (n - 2) 144 n ((n - 1) ) - ------------------------ - ------------------- 4 n 2 5 14 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) 12 n n 11 n n 206 n (n - 1) (n - 3) 1072 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 3389 n (n - 1) (n - 3) 6658 n (n - 1) (n - 3) - -------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 7924 n (n - 1) (n - 3) 5208 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 1440 n (n - 1) (n - 3) n (n - 1) (n - 3) - ------------------------- - ----------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 16 n 2 n 22 n (n - 1) (n - 3) 7 n ((n - 1) ) (n - 2) + ------------------------ + -------------------------- 4 n 2 6 6 n 3 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 15 n 2 n 11 n 2 n 133 n ((n - 1) ) (n - 2) 3703 n ((n - 1) ) (n - 2) - ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 13 n 2 n 2758 n ((n - 1) ) (n - 2) 4375 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 9 n 2 n 5299 n ((n - 1) ) (n - 2) 840 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 14 n n 1043 n ((n - 1) ) (n - 2) 7 n (n - 1) (n - 3) + ----------------------------- - ------------------------- 6 n 3 6 3 n 2 7 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 175 n (n - 1) (n - 3) 1841 n (n - 1) (n - 3) + ------------------------- - -------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 10633 n (n - 1) (n - 3) 18424 n (n - 1) (n - 3) + --------------------------- - --------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 39200 n (n - 1) (n - 3) 49952 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 13 n 34776 n (n - 1) (n - 3) 10080 n (n - 1) (n - 3) 3 n (n - 4) + -------------------------- - -------------------------- + -------------- 3 n 2 7 3 n 2 7 n 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 4 n (n - 4) 12 n 11 n 10 n 123 n (n - 4) 549 n (n - 4) 11223 n (n - 4) - ---------------- + ---------------- - ------------------ n 9 n 9 n 9 4 n (n - 4) n (n - 4) 2 n (n - 4) 9 n 8 n 7 n 145215 n (n - 4) 620235 n (n - 4) 883857 n (n - 4) + ------------------ - ------------------ + ------------------ n 9 n 9 n 9 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 827931 n (n - 4) 972738 n (n - 4) 644328 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 n (n - 4) n (n - 4) n (n - 4) 3 n 16 n 2 n 181440 n (n - 4) 2 n ((n - 1) ) (n - 2) + ------------------ + -------------------------- n 9 7 n 3 5 n (n - 4) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 34 n ((n - 1) ) (n - 2) 242 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 934 n ((n - 1) ) (n - 2) 2108 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 2776 n ((n - 1) ) (n - 2) 1968 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 10 n 9 n 576 n ((n - 1) ) (n - 2) 7 n (n - 3) 161 n (n - 3) - --------------------------- + -------------- - --------------- 7 n 3 5 n 7 n 7 (n - 1) (n ) (n - 2) 4 n (n - 3) 4 n (n - 3) 8 n 7 n 6 n 1519 n (n - 3) 7595 n (n - 3) 10829 n (n - 3) + ---------------- - ---------------- + ----------------- n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 8771 n (n - 3) 7434 n (n - 3) 2520 n (n - 3) - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n (n - 3) n (n - 3) n (n - 3) 15 n 5 n 7 n 6 n 5 648 n ((n - 1) ) (n - 2) n 5 (n - 2) n 35 (n - 2) n + ------------------- + ------------- - ------------- + -------------- 18 n 5 5 n 5 n 5 n (n - 1) (n ) 2 (n - 2) n (n - 2) n 2 (n - 2) n n 4 n 3 13 n 3 12 n 3 25 (n - 2) n 12 (n - 2) n n ((n - 1) ) 9 n ((n - 1) ) - -------------- + -------------- + ----------------- - ----------------- 5 n 5 n 10 n 3 10 n 3 (n - 2) n (n - 2) n 2 (n - 1) (n ) 2 (n - 1) (n ) 11 n 3 10 n 3 9 n 8 n 15 n ((n - 1) ) 22 n ((n - 1) ) n (n - 3) 17 n (n - 3) + ------------------ - ------------------ + ------------- - -------------- 10 n 3 10 n 3 n 6 n 6 (n - 1) (n ) (n - 1) (n ) 2 n (n - 3) 2 n (n - 3) 7 n 6 n 5 n 4 n 115 n (n - 3) 395 n (n - 3) 362 n (n - 3) 334 n (n - 3) + --------------- - --------------- + --------------- - --------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 3 n 18 n 4 17 n 4 120 n (n - 3) n ((n - 1) ) 14 n ((n - 1) ) + --------------- - --------------- + ------------------ n 6 14 n 4 14 n 4 n (n - 3) (n - 1) (n ) (n - 1) (n ) 16 n 4 15 n 4 14 n 4 81 n ((n - 1) ) 248 n ((n - 1) ) 424 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 14 n 4 14 n 4 14 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 4 12 n 11 n 384 n ((n - 1) ) 7 n (n - 4) 231 n (n - 4) + ------------------- + -------------- - ---------------- 14 n 4 n 8 n 8 (n - 1) (n ) 4 n (n - 4) 4 n (n - 4) 10 n 9 n 8 n 819 n (n - 4) 13083 n (n - 4) 129507 n (n - 4) + ---------------- - ----------------- + ------------------ n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 7 n 6 n 5 n 411159 n (n - 4) 417697 n (n - 4) 261051 n (n - 4) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 4 n (n - 4) 2 n (n - 4) n (n - 4) 4 n 3 n 17 n 2 n 181314 n (n - 4) 52920 n (n - 4) 3 n ((n - 1) ) (n - 2) + ------------------ - ----------------- + -------------------------- n 8 n 8 8 n 3 5 n (n - 4) n (n - 4) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 129 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1245 n ((n - 1) ) (n - 2) 7365 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6825 n ((n - 1) ) (n - 2) 3861 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2430 n ((n - 1) ) (n - 2) 648 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 3 n (n - 1) (n - 3) 42 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 507 n (n - 1) (n - 3) 3462 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 29463 n (n - 1) (n - 3) 40488 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 71808 n (n - 1) (n - 3) 79128 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 49032 n (n - 1) (n - 3) 12960 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n n 17 n n 33 n (n - 1) (n - 5) 17583 n (n - 1) (n - 5) + -------------------------- + --------------------------- 3 n 2 11 3 n 2 11 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 15 n n 14 n n 1769559 n (n - 1) (n - 5) 21724307 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 3 n 2 11 3 n 2 11 4 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 16 n n 10 n n 419731 n (n - 1) (n - 5) 185604478 n (n - 1) (n - 5) - ---------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 20 n n 21772800 n (n - 1) (n - 5) n (n - 1) (n - 5) - ----------------------------- - -------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 13 n n 9 n n 49274049 n (n - 1) (n - 5) 235063092 n (n - 1) (n - 5) + ------------------------------ + ------------------------------ 3 n 2 11 3 n 2 11 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 197451936 n (n - 1) (n - 5) 102990162 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 7 n n 41466535 n (n - 1) (n - 5) 98245440 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 13 n 2 n 1969 n (n - 1) (n - 5) 5193049 n ((n - 1) ) (n - 4) - -------------------------- - -------------------------------- 3 n 2 11 6 n 3 10 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 6439395 n ((n - 1) ) (n - 4) 5262534 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 2537784 n ((n - 1) ) (n - 4) 544320 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------ 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 4) 27 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 6 n 3 10 6 n 3 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 14 n 2 n 15 n 2 n 2916258 n ((n - 1) ) (n - 4) 9388191 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n 2 n 5 n 5482475 n ((n - 1) ) (n - 4) 2469250080 n (n - 6) + -------------------------------- - ---------------------- 6 n 3 10 n 12 16 (n - 1) (n ) (n - 4) n (n - 6) 8 n 9 n 4 n 1149425345 n (n - 6) 1815255805 n (n - 6) 1288278000 n (n - 6) + ---------------------- - ---------------------- + ---------------------- n 12 n 12 n 12 n (n - 6) 4 n (n - 6) n (n - 6) 18 n 17 n 15 n 16 n n (n - 6) 5 n (n - 6) 16115 n (n - 6) 365 n (n - 6) + --------------- - -------------- - ------------------ + ---------------- n 12 n 12 n 12 n 12 16 n (n - 6) n (n - 6) 4 n (n - 6) 2 n (n - 6) 14 n 12 n 11 n 480881 n (n - 6) 5056535 n (n - 6) 119744845 n (n - 6) + ------------------- + -------------------- - ---------------------- n 12 n 12 n 12 8 n (n - 6) n (n - 6) 4 n (n - 6) 13 n 7 n 3 n 2566355 n (n - 6) 2135746135 n (n - 6) 299376000 n (n - 6) - -------------------- - ---------------------- - --------------------- n 12 n 12 n 12 4 n (n - 6) n (n - 6) n (n - 6) 3 n 10 n 6 n 5443200 n (n - 5) 2145379973 n (n - 6) 2811861579 n (n - 6) - ------------------- + ----------------------- + ---------------------- n 11 n 12 n 12 n (n - 5) 16 n (n - 6) n (n - 6) 10 n 6 n 5 n 16073123 n (n - 5) 39544221 n (n - 5) 38443104 n (n - 5) + --------------------- + -------------------- - -------------------- n 11 n 11 n 11 16 n (n - 5) n (n - 5) n (n - 5) 8 n 9 n 4 n 12433036 n (n - 5) 16600463 n (n - 5) 21839760 n (n - 5) + -------------------- - -------------------- + -------------------- n 11 n 11 n 11 n (n - 5) 4 n (n - 5) n (n - 5) 15 n 16 n 14 n 4 n (n - 5) n (n - 5) 1841 n (n - 5) - -------------- + --------------- + ----------------- n 11 n 11 n 11 n (n - 5) 16 n (n - 5) 16 n (n - 5) 12 n 11 n 13 n 356763 n (n - 5) 353199 n (n - 5) 7871 n (n - 5) + ------------------- - ------------------- - ----------------- n 11 n 11 n 11 16 n (n - 5) 2 n (n - 5) 4 n (n - 5) 7 n 15 n 5 16 n 5 26629009 n (n - 5) 162 n ((n - 1) ) 621 n ((n - 1) ) - -------------------- - ------------------- + ------------------- n 11 19 n 5 19 n 5 n (n - 5) (n - 1) (n ) (n - 1) (n ) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 11 n ((n - 1) ) 107 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 19 n 5 19 n 5 19 n 5 16 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 151 n ((n - 1) ) 4361 n ((n - 1) ) 5221 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 19 n 5 19 n 5 19 n 5 2 (n - 1) (n ) 16 (n - 1) (n ) 8 (n - 1) (n ) 18 n 5 17 n 5 28 n 6 2073 n ((n - 1) ) 1053 n ((n - 1) ) 5 n ((n - 1) ) + -------------------- - -------------------- - ------------------ 19 n 5 19 n 5 22 n 6 2 (n - 1) (n ) (n - 1) (n ) 16 (n - 1) (n ) 27 n 6 26 n 6 25 n 6 15 n ((n - 1) ) 645 n ((n - 1) ) 2045 n ((n - 1) ) + ------------------ - ------------------- + -------------------- 22 n 6 22 n 6 22 n 6 2 (n - 1) (n ) 8 (n - 1) (n ) 4 (n - 1) (n ) 24 n 6 23 n 6 22 n 6 33885 n ((n - 1) ) 23955 n ((n - 1) ) 46835 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 22 n 6 22 n 6 22 n 6 16 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 21 n 6 20 n 6 19 n 6 15630 n ((n - 1) ) 13635 n ((n - 1) ) 7020 n ((n - 1) ) + --------------------- - --------------------- + -------------------- 22 n 6 22 n 6 22 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 12 n n 11 n n n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ----------------------- + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 6637 n ((n - 1) ) (n - 4) 112983 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 337038 n ((n - 1) ) (n - 4) 2900717 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 4558677 n ((n - 1) ) (n - 4) 10466544 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 17335688 n ((n - 1) ) (n - 4) 20127144 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 15501456 n ((n - 1) ) (n - 4) 7089984 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 22 n 2 n 1451520 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 24 n ((n - 1) ) (n - 4) 1035 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 11578451 n (n - 1) (n - 5) 47936509 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 12 n n 11 n n 37002871 n (n - 1) (n - 5) 84750824 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 141641688 n (n - 1) (n - 5) 167336172 n (n - 1) (n - 5) - ------------------------------- + ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 131920704 n (n - 1) (n - 5) 61995456 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n n 13063680 n (n - 1) (n - 5) 25303 n (n - 1) (n - 5) - ----------------------------- + --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n n 15 n n 272199 n (n - 1) (n - 5) 2076321 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 18 n n 16 n n 1577 n (n - 1) (n - 5) 943 n (n - 1) (n - 4) - -------------------------- - ------------------------- 4 n 2 10 4 n 2 9 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 2847 n (n - 1) (n - 4) 90207 n (n - 1) (n - 4) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 12 n n 246831 n (n - 1) (n - 4) 1913393 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 1322642 n (n - 1) (n - 4) 2587988 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 3491868 n (n - 1) (n - 4) 3079836 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1591056 n (n - 1) (n - 4) 362880 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 20 n n 59 n (n - 1) (n - 5) n (n - 1) (n - 5) + -------------------------- - -------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 18 n n 17 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 1305 n ((n - 1) ) (n - 4) 9337 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 10 6 n 3 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 176427 n ((n - 1) ) (n - 4) 580821 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 6 n 3 10 6 n 3 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) and in Maple notation 3/4*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^5-57/4*n^22*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 471/4*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^5-2211/4*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^ 5+3225/2*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^5-2994*n^18*((n-1)^n)^5/(n-1)^18/(n^n) ^5+3456*n^17*((n-1)^n)^5/(n-1)^18/(n^n)^5-2268*n^16*((n-1)^n)^5/(n-1)^18/(n^n)^ 5+516069/4/(n^n)*n^11*(n-5)^n/(n-5)^10-1658043/2/(n^n)*n^10*(n-5)^n/(n-5)^10+ 15058509/4/(n^n)*n^9*(n-5)^n/(n-5)^10-24310233/2/(n^n)*n^8*(n-5)^n/(n-5)^10+ 27645267/(n^n)*n^7*(n-5)^n/(n-5)^10-43095438/(n^n)*n^6*(n-5)^n/(n-5)^10+ 43576272/(n^n)*n^5*(n-5)^n/(n-5)^10-25554528/(n^n)*n^4*(n-5)^n/(n-5)^10+6531840 /(n^n)*n^3*(n-5)^n/(n-5)^10-81/2/(n^n)*n^14*(n-5)^n/(n-5)^10+3903/4/(n^n)*n^13* (n-5)^n/(n-5)^10-27711/2/(n^n)*n^12*(n-5)^n/(n-5)^10+3/4/(n^n)*n^15*(n-5)^n/(n-\ 5)^10-3/2*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+33*n^20*((n-1)^n)^3 /(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-318*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n /(n-2)^5+1761*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-12345/2*n^17*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+14190*n^16*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-2)^n/(n-2)^5-21372*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+ 20304*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-11016*n^13*((n-1)^n)^3/ (n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+2592*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n /(n-2)^5+3/4*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-81/4*n^18*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+29955/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-3)^n/(n-3)^6-90105/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+46161*n ^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-63582*n^12*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^6+56268*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-\ 28836*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+6480*n^9*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-3)^n/(n-3)^6+483/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^6-3351/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+36*n^20*((n-1)^n)^ 3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-375*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^ n/(n-2)^6+2226*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6+31584*n^14*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-17784*n^13*((n-1)^n)^3/(n-1)^10/(n^n) ^4*(n-2)^n/(n-2)^6+20154*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-\ 31860*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6+4320*n^12*((n-1)^n)^3/( n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-16599/2*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2) ^n/(n-2)^6-3/2*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^6-90*n^18*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+1182*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 3)^n/(n-3)^7-8952*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+43311*n^15*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-139902*n^14*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-3)^n/(n-3)^7+305568*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-\ 445488*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+414576*n^11*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-222048*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^ n/(n-3)^7+51840*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+3*n^19*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-3/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^8+57*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-1917/2*n^15*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^8+9414*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-\ 119997/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+260505*n^12*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^8-1572099/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4) ^8+1647456*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-2348280*n^9*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-4)^n/(n-4)^8+2164968*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 8-1159272*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+272160*n^6*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^8+3/4*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-\ 51/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+753/2*n^17*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^8-3177*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-\ 3)^8+67851/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-119763/2*n^14*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+141576*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-3)^n/(n-3)^8-221388*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+ 219084*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8-123768*n^10*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^8+30240*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^8+129/2*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-1221*n^15*(n-1)^n/(n -1)^3/(n^n)^2*(n-4)^n/(n-4)^9+13419*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 9-190107/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+910665/2*n^12*(n-1)^n/( n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-1504092*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-\ 4)^9+3423576*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-5257200*n^9*(n-1)^n/( n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+5179608*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4 )^9-2940192*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+725760*n^6*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^9-3/2*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-\ 1620*n^18*((n-1)^n)^6/(n-1)^22/(n^n)^6+15885/2*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^ 5*(n-2)^n/(n-2)^4-5805*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+2511*n ^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-486*n^15*((n-1)^n)^4/(n-1)^16/ (n^n)^5*(n-2)^n/(n-2)^4+1/16*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-\ 13/8*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+305/16*n^24*((n-1)^n)^4/ (n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-1065/8*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2) ^n/(n-2)^4+9835/16*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-15755/8*n^ 21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+71435/16*n^20*((n-1)^n)^4/(n-1) ^16/(n^n)^5*(n-2)^n/(n-2)^4-57255/8*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/( n-2)^4+1/2*n^26*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-27/2*n^25*((n-1)^n )^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+164*n^24*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2 )^n/(n-2)^5-1183*n^23*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+11257/2*n^22 *((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-37079/2*n^21*((n-1)^n)^4/(n-1)^15 /(n^n)^5*(n-2)^n/(n-2)^5+43119*n^20*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^ 5-70768*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+80256*n^18*((n-1)^n)^ 4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-59832*n^17*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2 )^n/(n-2)^5+26352*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-5184*n^15*( (n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-271633/4*n^18*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^6+286363/2*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3 )^6-217048*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+230556*n^15*((n-1) ^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-162756*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-3)^n/(n-3)^6+68472*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-12960* n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-10657*n^16*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^5+14070*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2 )^5-11988*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+5940*n^13*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-1296*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2 )^n/(n-2)^5-1/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+25/4*n^21*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-139/2*n^20*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-2)^n/(n-2)^5+905/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-7637 /4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+21805/4*n^17*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-1/4*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/( n-3)^6+8*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-463/4*n^22*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+2003/2*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n -3)^n/(n-3)^6-23087/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+23341*n ^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-70686*n^17*((n-1)^n)^4/(n-1)^ 14/(n^n)^5*(n-2)^n/(n-2)^6+32076*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2 )^6-77952*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+91716*n^18*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-6480*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 2)^n/(n-2)^6+182427/4*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-4317/4* n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+43359/8*n^22*((n-1)^n)^4/(n-1 )^14/(n^n)^5*(n-2)^n/(n-2)^6-150015/8*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n /(n-2)^6-87/8*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+141*n^24*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+3/8*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n -2)^n/(n-2)^6+410169/4*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-316236 *n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+703185*n^17*((n-1)^n)^3/(n-1 )^11/(n^n)^4*(n-3)^n/(n-3)^7-1118856*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/ (n-3)^7+1241964*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-912384*n^14*( (n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+397872*n^13*((n-1)^n)^3/(n-1)^11/(n ^n)^4*(n-3)^n/(n-3)^7-77760*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-3 /4*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+105/4*n^23*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-3)^n/(n-3)^7-825/2*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/( n-3)^7+7701/2*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-95163/4*n^20*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+70167/8*n^16*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^7-269835/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+ 362637/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-170274*n^13*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+218880*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^7-183222*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+89748*n^10* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-19440*n^9*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^7+225639/8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-\ 1233963/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+4897131/8*n^16*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-14281467/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-4)^n/(n-4)^8+15301857/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8 -5947776*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+6518448*n^12*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-4764582*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -4)^n/(n-4)^8+2079108*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-408240*n ^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-129/8*n^21*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-4)^n/(n-4)^8+2505/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-\ 29097/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+3/8*n^22*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+3/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^7-99/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+363/2*n^18*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-6249/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^7-1/4*n^24*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8+39/4*n^23*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8-339/2*n^22*((n-1)^n)^3/(n-1)^10/(n^n) ^4*(n-3)^n/(n-3)^8+3475/2*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8-\ 46809/4*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8+218343/4*n^19*((n-1)^ n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8-180920*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4* (n-3)^n/(n-3)^8+429519*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8-725160 *n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8+849172*n^15*((n-1)^n)^3/(n-1 )^10/(n^n)^4*(n-3)^n/(n-3)^8-654528*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/( n-3)^8+297936*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8-60480*n^12*((n-\ 1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^8-n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/( n-2)^5+12*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-55*n^9*(n-1)^n/(n-1)^3/( n^n)^2*(n-2)^n/(n-2)^5+120*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-124*n^7* (n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+48*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/ (n-2)^5+12*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3-91*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 2)^n/(n-2)^5+285*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-484*n^8*(n-1)^n/(n -1)^4/(n^n)^2*(n-2)^n/(n-2)^5+420*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-\ 144*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-144*n^12*((n-1)^n)^4/(n-1)^14/( n^n)^4-206*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1072*n^11*(n-1)^n/(n-1) ^4/(n^n)^2*(n-3)^n/(n-3)^6-3389*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+ 6658*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-7924*n^8*(n-1)^n/(n-1)^4/(n^n) ^2*(n-3)^n/(n-3)^6+5208*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-1440*n^6*(n -1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3 )^6+22*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+7/4*n^16*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-2)^n/(n-2)^6-133/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^ 6-3703*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+2758*n^10*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-4375/4*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/ (n-2)^6+5299/2*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-840*n^9*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+1043/4*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -2)^n/(n-2)^6-7/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+175/2*n^13*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-1841/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/ (n-3)^7+10633/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-18424*n^10*(n-1)^n /(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+39200*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3 )^7-49952*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+34776*n^7*(n-1)^n/(n-1)^3 /(n^n)^2*(n-3)^n/(n-3)^7-10080*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+3/4/ (n^n)*n^13*(n-4)^n/(n-4)^9-123/4/(n^n)*n^12*(n-4)^n/(n-4)^9+549/(n^n)*n^11*(n-4 )^n/(n-4)^9-11223/2/(n^n)*n^10*(n-4)^n/(n-4)^9+145215/4/(n^n)*n^9*(n-4)^n/(n-4) ^9-620235/4/(n^n)*n^8*(n-4)^n/(n-4)^9+883857/2/(n^n)*n^7*(n-4)^n/(n-4)^9-827931 /(n^n)*n^6*(n-4)^n/(n-4)^9+972738/(n^n)*n^5*(n-4)^n/(n-4)^9-644328/(n^n)*n^4*(n -4)^n/(n-4)^9+181440/(n^n)*n^3*(n-4)^n/(n-4)^9+2*n^16*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-2)^n/(n-2)^5-34*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+242*n^14 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-934*n^13*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-2)^n/(n-2)^5+2108*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-2776*n ^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1968*n^10*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-2)^n/(n-2)^5-576*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+7/4/ (n^n)*n^10*(n-3)^n/(n-3)^7-161/4/(n^n)*n^9*(n-3)^n/(n-3)^7+1519/4/(n^n)*n^8*(n-\ 3)^n/(n-3)^7-7595/4/(n^n)*n^7*(n-3)^n/(n-3)^7+10829/2/(n^n)*n^6*(n-3)^n/(n-3)^7 -8771/(n^n)*n^5*(n-3)^n/(n-3)^7+7434/(n^n)*n^4*(n-3)^n/(n-3)^7-2520/(n^n)*n^3*( n-3)^n/(n-3)^7+648*n^15*((n-1)^n)^5/(n-1)^18/(n^n)^5+1/2*(n-2)^n/(n-2)^5/(n^n)* n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/(n-2) ^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3+1/2*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^3 -9/2*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+15*n^11*((n-1)^n)^3/(n-1)^10/(n^n)^3-22* n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+1/2/(n^n)*n^9*(n-3)^n/(n-3)^6-17/2/(n^n)*n^8* (n-3)^n/(n-3)^6+115/2/(n^n)*n^7*(n-3)^n/(n-3)^6-395/2/(n^n)*n^6*(n-3)^n/(n-3)^6 +362/(n^n)*n^5*(n-3)^n/(n-3)^6-334/(n^n)*n^4*(n-3)^n/(n-3)^6+120/(n^n)*n^3*(n-3 )^n/(n-3)^6-n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+14*n^17*((n-1)^n)^4/(n-1)^14/(n^n )^4-81*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+248*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-\ 424*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+384*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+7/4 /(n^n)*n^12*(n-4)^n/(n-4)^8-231/4/(n^n)*n^11*(n-4)^n/(n-4)^8+819/(n^n)*n^10*(n-\ 4)^n/(n-4)^8-13083/2/(n^n)*n^9*(n-4)^n/(n-4)^8+129507/4/(n^n)*n^8*(n-4)^n/(n-4) ^8-411159/4/(n^n)*n^7*(n-4)^n/(n-4)^8+417697/2/(n^n)*n^6*(n-4)^n/(n-4)^8-261051 /(n^n)*n^5*(n-4)^n/(n-4)^8+181314/(n^n)*n^4*(n-4)^n/(n-4)^8-52920/(n^n)*n^3*(n-\ 4)^n/(n-4)^8+3/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-15*n^16*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+129*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 2)^n/(n-2)^5-1245/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+7365/4*n^ 13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-6825/2*n^12*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-2)^n/(n-2)^5+3861*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-\ 2430*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+648*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^5-3/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+42* n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-507*n^13*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^7+3462*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-29463/2*n^11*( n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+40488*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3) ^n/(n-3)^7-71808*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+79128*n^8*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-49032*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3) ^7+12960*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+33/4*n^19*(n-1)^n/(n-1)^3/ (n^n)^2*(n-5)^n/(n-5)^11+17583/4*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+ 1769559/4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-21724307/8*n^14*(n-1)^n /(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-419731/8*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^11-185604478*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-21772800*n^6* (n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-1/8*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-5) ^n/(n-5)^11+49274049/4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+235063092* n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-197451936*n^8*(n-1)^n/(n-1)^3/(n^n )^2*(n-5)^n/(n-5)^11+102990162*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-\ 41466535*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+98245440*n^7*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-5)^n/(n-5)^11-1969/8*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5) ^11-5193049*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+6439395*n^12*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-5262534*n^11*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-4)^n/(n-4)^10+2537784*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-\ 544320*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+1/16*n^22*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-27/8*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/( n-4)^10+2916258*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-9388191/8*n^ 15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+5482475/16*n^16*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-4)^n/(n-4)^10-2469250080/(n^n)*n^5*(n-6)^n/(n-6)^12+1149425345/ (n^n)*n^8*(n-6)^n/(n-6)^12-1815255805/4/(n^n)*n^9*(n-6)^n/(n-6)^12+1288278000/( n^n)*n^4*(n-6)^n/(n-6)^12+1/16/(n^n)*n^18*(n-6)^n/(n-6)^12-5/(n^n)*n^17*(n-6)^n /(n-6)^12-16115/4/(n^n)*n^15*(n-6)^n/(n-6)^12+365/2/(n^n)*n^16*(n-6)^n/(n-6)^12 +480881/8/(n^n)*n^14*(n-6)^n/(n-6)^12+5056535/(n^n)*n^12*(n-6)^n/(n-6)^12-\ 119744845/4/(n^n)*n^11*(n-6)^n/(n-6)^12-2566355/4/(n^n)*n^13*(n-6)^n/(n-6)^12-\ 2135746135/(n^n)*n^7*(n-6)^n/(n-6)^12-299376000/(n^n)*n^3*(n-6)^n/(n-6)^12-\ 5443200/(n^n)*n^3*(n-5)^n/(n-5)^11+2145379973/16/(n^n)*n^10*(n-6)^n/(n-6)^12+ 2811861579/(n^n)*n^6*(n-6)^n/(n-6)^12+16073123/16/(n^n)*n^10*(n-5)^n/(n-5)^11+ 39544221/(n^n)*n^6*(n-5)^n/(n-5)^11-38443104/(n^n)*n^5*(n-5)^n/(n-5)^11+ 12433036/(n^n)*n^8*(n-5)^n/(n-5)^11-16600463/4/(n^n)*n^9*(n-5)^n/(n-5)^11+ 21839760/(n^n)*n^4*(n-5)^n/(n-5)^11-4/(n^n)*n^15*(n-5)^n/(n-5)^11+1/16/(n^n)*n^ 16*(n-5)^n/(n-5)^11+1841/16/(n^n)*n^14*(n-5)^n/(n-5)^11+356763/16/(n^n)*n^12*(n -5)^n/(n-5)^11-353199/2/(n^n)*n^11*(n-5)^n/(n-5)^11-7871/4/(n^n)*n^13*(n-5)^n/( n-5)^11-26629009/(n^n)*n^7*(n-5)^n/(n-5)^11-162*n^15*((n-1)^n)^5/(n-1)^19/(n^n) ^5+621*n^16*((n-1)^n)^5/(n-1)^19/(n^n)^5+1/16*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5 -11/8*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+107/8*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5 -151/2*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+4361/16*n^20*((n-1)^n)^5/(n-1)^19/(n^n )^5-5221/8*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+2073/2*n^18*((n-1)^n)^5/(n-1)^19/( n^n)^5-1053*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5-5/16*n^28*((n-1)^n)^6/(n-1)^22/(n ^n)^6+15/2*n^27*((n-1)^n)^6/(n-1)^22/(n^n)^6-645/8*n^26*((n-1)^n)^6/(n-1)^22/(n ^n)^6+2045/4*n^25*((n-1)^n)^6/(n-1)^22/(n^n)^6-33885/16*n^24*((n-1)^n)^6/(n-1)^ 22/(n^n)^6+23955/4*n^23*((n-1)^n)^6/(n-1)^22/(n^n)^6-46835/4*n^22*((n-1)^n)^6/( n-1)^22/(n^n)^6+15630*n^21*((n-1)^n)^6/(n-1)^22/(n^n)^6-13635*n^20*((n-1)^n)^6/ (n-1)^22/(n^n)^6+7020*n^19*((n-1)^n)^6/(n-1)^22/(n^n)^6-n^12*(n-1)^n/(n-1)^4/(n ^n)^2*(n-2)^n/(n-2)^5+15*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-6637*n^19 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+112983/2*n^18*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-4)^n/(n-4)^9-337038*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9 +2900717/2*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-4558677*n^15*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+10466544*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-4)^n/(n-4)^9-17335688*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+ 20127144*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-15501456*n^11*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+7089984*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-4)^n/(n-4)^9-1451520*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+1/2*n^22 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-24*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-4)^n/(n-4)^9+1035/2*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-\ 11578451/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+47936509/4*n^13*(n-1)^ n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-37002871*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^ n/(n-5)^10+84750824*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-141641688*n^ 10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+167336172*n^9*(n-1)^n/(n-1)^4/(n^n) ^2*(n-5)^n/(n-5)^10-131920704*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+ 61995456*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-13063680*n^6*(n-1)^n/(n-1 )^4/(n^n)^2*(n-5)^n/(n-5)^10+25303/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5) ^10-272199/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+2076321/4*n^15*(n-1) ^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-1577/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n /(n-5)^10-943/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+2847*n^15*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-90207/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^9+246831/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-1913393/4*n^12*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+1322642*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^9-2587988*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+3491868*n^9*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-3079836*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n /(n-4)^9+1591056*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-362880*n^6*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+59/4*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5 )^10-1/4*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-1/4*n^18*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^9+23/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+1305 /16*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-9337/8*n^19*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+176427/16*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4 )^n/(n-4)^10-580821/8*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10 The, 3, 1, mixed moment of, X[2], and , X[3], is 11 n n 10 n n 3 n (n - 1) (n - 2) 33 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 141 n (n - 1) (n - 2) 291 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 144 n (n - 1) (n - 2) 54 n (n - 1) (n - 2) - ------------------------ + ----------------------- 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 3 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 165 n (n - 1) (n - 2) 180 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n 3 186 n (n - 1) (n - 2) 72 n (n - 1) (n - 2) 36 n ((n - 1) ) - ------------------------ + ----------------------- + ----------------- 3 n 2 5 3 n 2 5 10 n 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 10 n n 9 n n 467 n (n - 1) (n - 3) 527 n (n - 1) (n - 3) + ------------------------- - ------------------------ 4 n 2 5 4 n 2 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 694 n (n - 1) (n - 3) 492 n (n - 1) (n - 3) + ------------------------ - ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n 2 n 144 n (n - 1) (n - 3) 3 n ((n - 1) ) (n - 2) + ------------------------ + -------------------------- 4 n 2 5 6 n 3 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 21 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 345 n ((n - 1) ) (n - 2) 546 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 444 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 3 n (n - 1) (n - 3) 57 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 447 n (n - 1) (n - 3) 1875 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 2271 n (n - 1) (n - 3) 3174 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2364 n (n - 1) (n - 3) 720 n (n - 1) (n - 3) - ------------------------- + ------------------------ 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 2) 39 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 4 7 n 3 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 207 n ((n - 1) ) (n - 2) 573 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 7 n 3 4 7 n 3 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 435 n ((n - 1) ) (n - 2) 342 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 7 n 3 4 7 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n n 108 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + --------------------------- - ------------------------- 7 n 3 4 4 n 2 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 6 n 2 17 n (n - 1) (n - 3) 121 n (n - 1) (n - 3) 6 n ((n - 1) ) + ------------------------- - ------------------------- + ---------------- 4 n 2 5 4 n 2 5 7 n 2 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) (n - 1) (n ) 9 n 2 8 n 2 7 n 2 n 7 n ((n - 1) ) 7 n ((n - 1) ) 8 n ((n - 1) ) (n - 2) n - ---------------- + ---------------- - ---------------- + ------------- 7 n 2 7 n 2 7 n 2 5 n 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 2 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 12 (n - 2) n - ------------- + -------------- - -------------- + -------------- 5 n 5 n 5 n 5 n (n - 2) n 2 (n - 2) n (n - 2) n (n - 2) n 13 n 3 12 n 3 11 n 3 3 n ((n - 1) ) 27 n ((n - 1) ) 45 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 10 n 3 10 n 3 10 n 3 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 10 n 3 9 n 8 n 7 n 66 n ((n - 1) ) 3 n (n - 3) 51 n (n - 3) 345 n (n - 3) - ------------------ + ------------- - -------------- + --------------- 10 n 3 n 6 n 6 n 6 (n - 1) (n ) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 6 n 5 n 4 n 3 n 1185 n (n - 3) 1086 n (n - 3) 1002 n (n - 3) 360 n (n - 3) - ---------------- + ---------------- - ---------------- + --------------- n 6 n 6 n 6 n 6 2 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 17 n 4 16 n 4 15 n 4 3 n ((n - 1) ) 33 n ((n - 1) ) 72 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 13 n 4 13 n 4 13 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 11 n 156 n ((n - 1) ) 168 n ((n - 1) ) n (n - 4) + ------------------- - ------------------- + ------------- 13 n 4 13 n 4 n 7 (n - 1) (n ) (n - 1) (n ) 2 n (n - 4) 10 n 9 n 8 n 7 n 13 n (n - 4) 143 n (n - 4) 868 n (n - 4) 6349 n (n - 4) - --------------- + --------------- - --------------- + ---------------- n 7 n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 7147 n (n - 4) 9642 n (n - 4) 7092 n (n - 4) - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 3 n 12 n 4 2160 n (n - 4) 72 n ((n - 1) ) + ---------------- + ------------------ n 7 13 n 4 n (n - 4) (n - 1) (n ) and in Maple notation -3/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+33/2*n^10*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^4-141/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+291/2*n^ 8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-144*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2) ^n/(n-2)^4+54*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-3/2*n^11*(n-1)^n/(n-1 )^3/(n^n)^2*(n-2)^n/(n-2)^5+18*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-165 /2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+180*n^8*(n-1)^n/(n-1)^3/(n^n)^2* (n-2)^n/(n-2)^5-186*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+72*n^6*(n-1)^n/ (n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+36*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3+467/2*n^10* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5-527*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^5+694*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5-492*n^7*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-3)^n/(n-3)^5+144*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5+3/2*n ^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-21*n^14*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-2)^n/(n-2)^5+237/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-345 *n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+546*n^11*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-2)^n/(n-2)^5-444*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+ 144*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-3/2*n^13*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^6+57/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-447/2*n ^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+1875/2*n^10*(n-1)^n/(n-1)^3/(n^n)^2 *(n-3)^n/(n-3)^6-2271*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+3174*n^8*(n-1 )^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-2364*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n -3)^6+720*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+3/2*n^15*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-2)^n/(n-2)^4-39/2*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2) ^4+207/2*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4-573/2*n^12*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4+435*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/ (n-2)^4-342*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4+108*n^9*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4-1/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3 )^5+17/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5-121/2*n^11*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-3)^n/(n-3)^5+6*n^6*((n-1)^n)^2/(n-1)^7/(n^n)^2-1/2*n^9*((n-1)^n)^2 /(n-1)^7/(n^n)^2+7/2*n^8*((n-1)^n)^2/(n-1)^7/(n^n)^2-8*n^7*((n-1)^n)^2/(n-1)^7/ (n^n)^2+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/ (n-2)^5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3+3/2 *n^13*((n-1)^n)^3/(n-1)^10/(n^n)^3-27/2*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^3+45*n^ 11*((n-1)^n)^3/(n-1)^10/(n^n)^3-66*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+3/2/(n^n)* n^9*(n-3)^n/(n-3)^6-51/2/(n^n)*n^8*(n-3)^n/(n-3)^6+345/2/(n^n)*n^7*(n-3)^n/(n-3 )^6-1185/2/(n^n)*n^6*(n-3)^n/(n-3)^6+1086/(n^n)*n^5*(n-3)^n/(n-3)^6-1002/(n^n)* n^4*(n-3)^n/(n-3)^6+360/(n^n)*n^3*(n-3)^n/(n-3)^6-3/2*n^17*((n-1)^n)^4/(n-1)^13 /(n^n)^4+33/2*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^4-72*n^15*((n-1)^n)^4/(n-1)^13/(n ^n)^4+156*n^14*((n-1)^n)^4/(n-1)^13/(n^n)^4-168*n^13*((n-1)^n)^4/(n-1)^13/(n^n) ^4+1/2/(n^n)*n^11*(n-4)^n/(n-4)^7-13/(n^n)*n^10*(n-4)^n/(n-4)^7+143/(n^n)*n^9*( n-4)^n/(n-4)^7-868/(n^n)*n^8*(n-4)^n/(n-4)^7+6349/2/(n^n)*n^7*(n-4)^n/(n-4)^7-\ 7147/(n^n)*n^6*(n-4)^n/(n-4)^7+9642/(n^n)*n^5*(n-4)^n/(n-4)^7-7092/(n^n)*n^4*(n -4)^n/(n-4)^7+2160/(n^n)*n^3*(n-4)^n/(n-4)^7+72*n^12*((n-1)^n)^4/(n-1)^13/(n^n) ^4 The, 3, 2, mixed moment of, X[2], and , X[3], is 11 n n 10 n n 3 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 165 n (n - 1) (n - 2) 180 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 186 n (n - 1) (n - 2) 72 n (n - 1) (n - 2) - ------------------------ + ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 91 n (n - 1) (n - 2) 285 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 242 n (n - 1) (n - 2) 210 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 12 n 4 14 n 3 72 n (n - 1) (n - 2) 108 n ((n - 1) ) n ((n - 1) ) - ----------------------- - ------------------- + ----------------- 4 n 2 5 14 n 4 11 n 3 (n - 1) (n ) (n - 2) (n - 1) (n ) 4 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 3 n ((n - 1) ) 57 n ((n - 1) ) 67 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 11 n 3 11 n 3 11 n 3 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 15 n 2 n 39 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) + ------------------ + -------------------------- 11 n 3 6 n 3 5 (n - 1) (n ) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 21 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 345 n ((n - 1) ) (n - 2) 546 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 444 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 3 n (n - 1) (n - 3) 57 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 447 n (n - 1) (n - 3) 1875 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 2271 n (n - 1) (n - 3) 3174 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2364 n (n - 1) (n - 3) 720 n (n - 1) (n - 3) - ------------------------- + ------------------------ 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 2589 n ((n - 1) ) (n - 2) 1647 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 567 n ((n - 1) ) (n - 2) 162 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 81 n ((n - 1) ) (n - 2) 597 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 12 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 4 8 n 3 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 309 n (n - 1) (n - 3) 1608 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 10167 n (n - 1) (n - 3) 9987 n (n - 1) (n - 3) - --------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 11886 n (n - 1) (n - 3) 7812 n (n - 1) (n - 3) - -------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 2160 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) - ------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 14 n n 33 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) + ------------------------ - ------------------------- 4 n 2 6 3 n 2 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n n 12 n n 75 n (n - 1) (n - 3) 789 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 7 3 n 2 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 4557 n (n - 1) (n - 3) 3948 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 7 3 n 2 7 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 8400 n (n - 1) (n - 3) 10704 n (n - 1) (n - 3) + ------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 7452 n (n - 1) (n - 3) 2160 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 2118 n ((n - 1) ) (n - 2) 2214 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1296 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 3 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 11 n 4 4 11 n 4 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 105 n ((n - 1) ) (n - 2) 921 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 3 n 18 n 2 n 4977 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 11 n 4 4 8 n 3 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 11 n ((n - 1) ) (n - 3) 53 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 587 n ((n - 1) ) (n - 3) 4115 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 2365 n ((n - 1) ) (n - 3) 3562 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3384 n ((n - 1) ) (n - 3) 1836 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 3 n 432 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 2) - --------------------------- - -------------------------- 8 n 3 5 10 n 4 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 57 n ((n - 1) ) (n - 2) 465 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 4 5 10 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 2127 n ((n - 1) ) (n - 2) 2982 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 5 10 n 4 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 5244 n ((n - 1) ) (n - 2) 5640 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 3384 n ((n - 1) ) (n - 2) 864 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 2226 n ((n - 1) ) (n - 3) 16599 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 20154 n ((n - 1) ) (n - 3) 31860 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 31584 n ((n - 1) ) (n - 3) 17784 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 4320 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 9 n 8 n 36 n ((n - 1) ) (n - 3) 400365 n (n - 5) 708109 n (n - 5) - --------------------------- - ------------------ + ------------------ 7 n 3 6 n 9 n 9 (n - 1) (n ) (n - 3) 4 n (n - 5) 2 n (n - 5) 7 n 6 n 5 n 865215 n (n - 5) 1428154 n (n - 5) 1511760 n (n - 5) - ------------------ + ------------------- - ------------------- n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 13 n 919584 n (n - 5) 241920 n (n - 5) 45 n (n - 5) + ------------------ - ------------------ - --------------- n 9 n 9 n 9 n (n - 5) n (n - 5) 4 n (n - 5) 12 n 11 n 14 n 224 n (n - 5) 5205 n (n - 5) n (n - 5) + ---------------- - ----------------- + ------------- n 9 n 9 n 9 n (n - 5) 2 n (n - 5) 4 n (n - 5) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 51 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 363 n ((n - 1) ) (n - 2) 1401 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 1581 n ((n - 1) ) (n - 2) 2082 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1476 n ((n - 1) ) (n - 2) 432 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 9 n 8 n 7 n n (n - 3) 23 n (n - 3) 217 n (n - 3) 1085 n (n - 3) + ------------- - -------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 3 n 1547 n (n - 3) 1253 n (n - 3) 1062 n (n - 3) 360 n (n - 3) + ---------------- - ---------------- + ---------------- - --------------- n 7 n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 15 n n 14 n n 105 n (n - 1) (n - 4) 801 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 8 3 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 7011 n (n - 1) (n - 4) 77931 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 8 3 n 2 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 287217 n (n - 1) (n - 4) 177612 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 290892 n (n - 1) (n - 4) 301464 n (n - 1) (n - 4) + --------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 178092 n (n - 1) (n - 4) 45360 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 10 n 22 n 5 3 n (n - 1) (n - 4) 78333 n (n - 5) n ((n - 1) ) - ------------------------- + ------------------ + --------------- 3 n 2 8 n 9 17 n 5 4 (n - 1) (n ) (n - 4) 4 n (n - 5) (n - 1) (n ) 21 n 5 20 n 5 19 n 5 16 n ((n - 1) ) 109 n ((n - 1) ) 410 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 18 n 5 17 n 5 16 n 5 920 n ((n - 1) ) 1232 n ((n - 1) ) 912 n ((n - 1) ) + ------------------- - -------------------- + ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n n 3 9 n 8 n 7 n 12 (n - 2) n 3 n (n - 3) 51 n (n - 3) 345 n (n - 3) + -------------- + ------------- - -------------- + --------------- 5 n n 6 n 6 n 6 (n - 2) n 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 6 n 5 n 4 n 3 n 1185 n (n - 3) 1086 n (n - 3) 1002 n (n - 3) 360 n (n - 3) - ---------------- + ---------------- - ---------------- + --------------- n 6 n 6 n 6 n 6 2 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 18 n 4 17 n 4 16 n 4 3 n ((n - 1) ) 21 n ((n - 1) ) 243 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 14 n 4 14 n 4 14 n 4 4 (n - 1) (n ) 2 (n - 1) (n ) 4 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 186 n ((n - 1) ) 318 n ((n - 1) ) 288 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 14 n 4 14 n 4 14 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 12 n 11 n 10 n 9 n 3 n (n - 4) 99 n (n - 4) 351 n (n - 4) 5607 n (n - 4) + -------------- - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 55503 n (n - 4) 176211 n (n - 4) 179013 n (n - 4) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 111879 n (n - 4) 77706 n (n - 4) 22680 n (n - 4) - ------------------ + ----------------- - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 9 n 3 15 n 5 16 n 2 n 18 n ((n - 1) ) 288 n ((n - 1) ) 939 n ((n - 1) ) (n - 3) - ----------------- - ------------------- + ---------------------------- 11 n 3 17 n 5 6 n 3 7 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 6135 n ((n - 1) ) (n - 3) 12453 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 7 6 n 3 7 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 16296 n ((n - 1) ) (n - 3) 27504 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 28860 n ((n - 1) ) (n - 3) 17064 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 4320 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 81 n ((n - 1) ) (n - 3) 375 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 3 7 7 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 15 n n n (n - 1) (n - 4) 31 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 211 n (n - 1) (n - 4) 1661 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 16745 n (n - 1) (n - 4) 56455 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 64424 n (n - 1) (n - 4) 98184 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 95472 n (n - 1) (n - 4) 53352 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 14 n 3 n 12960 n (n - 1) (n - 4) 1452 n ((n - 1) ) (n - 2) - -------------------------- - ----------------------------- 4 n 2 7 9 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 908 n ((n - 1) ) (n - 2) 691 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 12 n 3 n 1286 n ((n - 1) ) (n - 2) 240 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 20 n 3 n 923 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------- 9 n 4 6 9 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 21 n ((n - 1) ) (n - 2) 187 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 6 9 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 4 16 n 4 15 n 4 n ((n - 1) ) 11 n ((n - 1) ) 24 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 13 n 4 13 n 4 13 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 11 n 52 n ((n - 1) ) 56 n ((n - 1) ) n (n - 4) + ------------------ - ------------------ + ------------- 13 n 4 13 n 4 n 7 (n - 1) (n ) (n - 1) (n ) 2 n (n - 4) 10 n 9 n 8 n 7 n 13 n (n - 4) 143 n (n - 4) 868 n (n - 4) 6349 n (n - 4) - --------------- + --------------- - --------------- + ---------------- n 7 n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 7147 n (n - 4) 9642 n (n - 4) 7092 n (n - 4) - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 3 n 12 n n 11 n n 2160 n (n - 4) n (n - 1) (n - 2) 15 n (n - 1) (n - 2) + ---------------- - ------------------------- + ------------------------- n 7 4 n 2 5 4 n 2 5 n (n - 4) 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 4 24 n ((n - 1) ) + ------------------ 13 n 4 (n - 1) (n ) and in Maple notation -3/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+18*n^10*(n-1)^n/(n-1)^3/(n^n) ^2*(n-2)^n/(n-2)^5-165/2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+180*n^8*(n -1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-186*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/( n-2)^5+72*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-91/2*n^10*(n-1)^n/(n-1)^4 /(n^n)^2*(n-2)^n/(n-2)^5+285/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-242* n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+210*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 2)^n/(n-2)^5-72*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-108*n^12*((n-1)^n)^ 4/(n-1)^14/(n^n)^4+1/4*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-3*n^13*((n-1)^n)^3/(n-\ 1)^11/(n^n)^3+57/4*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-67/2*n^11*((n-1)^n)^3/(n-1 )^11/(n^n)^3+39*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+3/2*n^15*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-2)^n/(n-2)^5-21*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+237 /2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-345*n^12*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-2)^n/(n-2)^5+546*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-\ 444*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+144*n^9*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-2)^n/(n-2)^5-3/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+57/2 *n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-447/2*n^11*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-3)^n/(n-3)^6+1875/2*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-2271*n^9* (n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+3174*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^ n/(n-3)^6-2364*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+720*n^6*(n-1)^n/(n-1 )^3/(n^n)^2*(n-3)^n/(n-3)^6+2589/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-\ 2)^4-1647/2*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+567*n^10*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-162*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/ (n-2)^4+81*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-597/2*n^13*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+3/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^4-12*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-309*n^12*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+1608*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3) ^6-10167/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+9987*n^9*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-3)^n/(n-3)^6-11886*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+ 7812*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-2160*n^6*(n-1)^n/(n-1)^4/(n^n) ^2*(n-3)^n/(n-3)^6-3/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+33*n^13*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3/4*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/( n-3)^7+75/4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-789/4*n^12*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-3)^n/(n-3)^7+4557/4*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 7-3948*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+8400*n^9*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^7-10704*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+7452*n^ 7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-2160*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3 )^n/(n-3)^7+2118*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4-2214*n^14*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4+1296*n^13*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-2)^n/(n-2)^4-324*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4-3/4*n^ 20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4+27/2*n^19*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-2)^n/(n-2)^4-105*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4+ 921/2*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4-4977/4*n^16*((n-1)^n)^3 /(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4+1/4*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/ (n-3)^5-11/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+53*n^16*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5-587/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3) ^n/(n-3)^5+4115/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5-2365*n^13*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+3562*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-3)^n/(n-3)^5-3384*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+1836*n^ 10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5-432*n^9*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-3)^n/(n-3)^5-3/2*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+57/2* n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-465/2*n^18*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-2)^n/(n-2)^5+2127/2*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-\ 2)^5-2982*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+5244*n^15*((n-1)^n) ^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-5640*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2 )^n/(n-2)^5+3384*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-864*n^12*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-2226*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-3)^n/(n-3)^6+16599/2*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-20154 *n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+31860*n^12*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-3)^n/(n-3)^6-31584*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^ 6+17784*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-4320*n^9*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+3/2*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-\ 3)^6-36*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-400365/4/(n^n)*n^9*(n-\ 5)^n/(n-5)^9+708109/2/(n^n)*n^8*(n-5)^n/(n-5)^9-865215/(n^n)*n^7*(n-5)^n/(n-5)^ 9+1428154/(n^n)*n^6*(n-5)^n/(n-5)^9-1511760/(n^n)*n^5*(n-5)^n/(n-5)^9+919584/(n ^n)*n^4*(n-5)^n/(n-5)^9-241920/(n^n)*n^3*(n-5)^n/(n-5)^9-45/4/(n^n)*n^13*(n-5)^ n/(n-5)^9+224/(n^n)*n^12*(n-5)^n/(n-5)^9-5205/2/(n^n)*n^11*(n-5)^n/(n-5)^9+1/4/ (n^n)*n^14*(n-5)^n/(n-5)^9+3/2*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5 -51/2*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+363/2*n^14*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1401/2*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/ (n-2)^5+1581*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-2082*n^11*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1476*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2 )^n/(n-2)^5-432*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+1/4/(n^n)*n^10* (n-3)^n/(n-3)^7-23/4/(n^n)*n^9*(n-3)^n/(n-3)^7+217/4/(n^n)*n^8*(n-3)^n/(n-3)^7-\ 1085/4/(n^n)*n^7*(n-3)^n/(n-3)^7+1547/2/(n^n)*n^6*(n-3)^n/(n-3)^7-1253/(n^n)*n^ 5*(n-3)^n/(n-3)^7+1062/(n^n)*n^4*(n-3)^n/(n-3)^7-360/(n^n)*n^3*(n-3)^n/(n-3)^7+ 105/4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-801/2*n^14*(n-1)^n/(n-1)^3/( n^n)^2*(n-4)^n/(n-4)^8+7011/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-\ 77931/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+287217/4*n^11*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^8-177612*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8 +290892*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-301464*n^8*(n-1)^n/(n-1)^3/ (n^n)^2*(n-4)^n/(n-4)^8+178092*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-\ 45360*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-3/4*n^16*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^8+78333/4/(n^n)*n^10*(n-5)^n/(n-5)^9+n^22*((n-1)^n)^5/(n-1)^ 17/(n^n)^5-16*n^21*((n-1)^n)^5/(n-1)^17/(n^n)^5+109*n^20*((n-1)^n)^5/(n-1)^17/( n^n)^5-410*n^19*((n-1)^n)^5/(n-1)^17/(n^n)^5+920*n^18*((n-1)^n)^5/(n-1)^17/(n^n )^5-1232*n^17*((n-1)^n)^5/(n-1)^17/(n^n)^5+912*n^16*((n-1)^n)^5/(n-1)^17/(n^n)^ 5+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^ 5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3+3/2/(n^n) *n^9*(n-3)^n/(n-3)^6-51/2/(n^n)*n^8*(n-3)^n/(n-3)^6+345/2/(n^n)*n^7*(n-3)^n/(n-\ 3)^6-1185/2/(n^n)*n^6*(n-3)^n/(n-3)^6+1086/(n^n)*n^5*(n-3)^n/(n-3)^6-1002/(n^n) *n^4*(n-3)^n/(n-3)^6+360/(n^n)*n^3*(n-3)^n/(n-3)^6-3/4*n^18*((n-1)^n)^4/(n-1)^ 14/(n^n)^4+21/2*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-243/4*n^16*((n-1)^n)^4/(n-1)^ 14/(n^n)^4+186*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-318*n^14*((n-1)^n)^4/(n-1)^14/ (n^n)^4+288*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+3/4/(n^n)*n^12*(n-4)^n/(n-4)^8-99 /4/(n^n)*n^11*(n-4)^n/(n-4)^8+351/(n^n)*n^10*(n-4)^n/(n-4)^8-5607/2/(n^n)*n^9*( n-4)^n/(n-4)^8+55503/4/(n^n)*n^8*(n-4)^n/(n-4)^8-176211/4/(n^n)*n^7*(n-4)^n/(n-\ 4)^8+179013/2/(n^n)*n^6*(n-4)^n/(n-4)^8-111879/(n^n)*n^5*(n-4)^n/(n-4)^8+77706/ (n^n)*n^4*(n-4)^n/(n-4)^8-22680/(n^n)*n^3*(n-4)^n/(n-4)^8-18*n^9*((n-1)^n)^3/(n -1)^11/(n^n)^3-288*n^15*((n-1)^n)^5/(n-1)^17/(n^n)^5+939/4*n^16*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-3)^n/(n-3)^7-6135/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n -3)^7+12453/2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-16296*n^13*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+27504*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-3)^n/(n-3)^7-28860*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+17064*n^ 10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-4320*n^9*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-3)^n/(n-3)^7+3/4*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-81/4* n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+375*n^16*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-3)^n/(n-3)^6-1/2*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+31/2*n^ 15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-211*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^7+1661*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-16745/2*n^12*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+56455/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^7-64424*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+98184*n^9*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-95472*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^7+53352*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-12960*n^6*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^7-1452*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+ 908*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-691*n^16*((n-1)^n)^3/(n-1) ^9/(n^n)^4*(n-2)^n/(n-2)^6+1286*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^ 6-240*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+923/4*n^17*((n-1)^n)^3/( n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-1/4*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-\ 2)^6+21/4*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-187/4*n^18*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-1/2*n^17*((n-1)^n)^4/(n-1)^13/(n^n)^4+11/2*n ^16*((n-1)^n)^4/(n-1)^13/(n^n)^4-24*n^15*((n-1)^n)^4/(n-1)^13/(n^n)^4+52*n^14*( (n-1)^n)^4/(n-1)^13/(n^n)^4-56*n^13*((n-1)^n)^4/(n-1)^13/(n^n)^4+1/2/(n^n)*n^11 *(n-4)^n/(n-4)^7-13/(n^n)*n^10*(n-4)^n/(n-4)^7+143/(n^n)*n^9*(n-4)^n/(n-4)^7-\ 868/(n^n)*n^8*(n-4)^n/(n-4)^7+6349/2/(n^n)*n^7*(n-4)^n/(n-4)^7-7147/(n^n)*n^6*( n-4)^n/(n-4)^7+9642/(n^n)*n^5*(n-4)^n/(n-4)^7-7092/(n^n)*n^4*(n-4)^n/(n-4)^7+ 2160/(n^n)*n^3*(n-4)^n/(n-4)^7-1/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5 +15/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+24*n^12*((n-1)^n)^4/(n-1)^13 /(n^n)^4 The, 3, 3, mixed moment of, X[2], and , X[3], is 23 n 5 22 n 5 21 n 5 3 n ((n - 1) ) 57 n ((n - 1) ) 471 n ((n - 1) ) ----------------- - ------------------ + ------------------- 18 n 5 18 n 5 18 n 5 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 2211 n ((n - 1) ) 3225 n ((n - 1) ) 1497 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 18 n 5 18 n 5 18 n 5 8 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 11 n 1728 n ((n - 1) ) 1134 n ((n - 1) ) 516069 n (n - 5) + -------------------- - -------------------- + ------------------- 18 n 5 18 n 5 n 10 (n - 1) (n ) (n - 1) (n ) 8 n (n - 5) 10 n 9 n 8 n 1658043 n (n - 5) 15058509 n (n - 5) 24310233 n (n - 5) - -------------------- + -------------------- - -------------------- n 10 n 10 n 10 4 n (n - 5) 8 n (n - 5) 4 n (n - 5) 7 n 6 n 5 n 27645267 n (n - 5) 21547719 n (n - 5) 21788136 n (n - 5) + -------------------- - -------------------- + -------------------- n 10 n 10 n 10 2 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 14 n 12777264 n (n - 5) 3265920 n (n - 5) 81 n (n - 5) - -------------------- + ------------------- - --------------- n 10 n 10 n 10 n (n - 5) n (n - 5) 4 n (n - 5) 13 n 12 n 15 n 3903 n (n - 5) 27711 n (n - 5) 3 n (n - 5) + ----------------- - ------------------ + -------------- n 10 n 10 n 10 8 n (n - 5) 4 n (n - 5) 8 n (n - 5) 21 n 3 n 20 n 3 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 4 12 n 4 4 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 4284 n ((n - 1) ) (n - 2) 3969 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 2106 n ((n - 1) ) (n - 2) 486 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 10503 n ((n - 1) ) (n - 2) 23403 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 4 12 n 4 4 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 291 n ((n - 1) ) (n - 2) 1551 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 9 n ((n - 1) ) (n - 2) 99 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 11 n 4 5 11 n 4 5 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 477 n ((n - 1) ) (n - 2) 5283 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 11 n 4 5 11 n 4 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 37035 n ((n - 1) ) (n - 2) 21285 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 5 11 n 4 5 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 16029 n ((n - 1) ) (n - 2) 15228 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 8262 n ((n - 1) ) (n - 2) 1944 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 9 n ((n - 1) ) (n - 3) 243 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 89865 n ((n - 1) ) (n - 3) 270315 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 138483 n ((n - 1) ) (n - 3) 95373 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 84402 n ((n - 1) ) (n - 3) 43254 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 9720 n ((n - 1) ) (n - 3) 1449 n ((n - 1) ) (n - 3) + ---------------------------- + ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 18 n 2 n 10053 n ((n - 1) ) (n - 3) 135 n ((n - 1) ) (n - 3) - ------------------------------ - ---------------------------- 8 n 3 6 7 n 3 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 1773 n ((n - 1) ) (n - 3) 3357 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 3 7 7 n 3 7 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 129933 n ((n - 1) ) (n - 3) 209853 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 7 7 n 3 7 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 114588 n ((n - 1) ) (n - 3) 167058 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 155466 n ((n - 1) ) (n - 3) 83268 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 19440 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 17 n n 16 n n 9 n (n - 1) (n - 4) 171 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 5751 n (n - 1) (n - 4) 14121 n (n - 1) (n - 4) - -------------------------- + --------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 359991 n (n - 1) (n - 4) 781515 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 4716297 n (n - 1) (n - 4) 1235592 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 1761210 n (n - 1) (n - 4) 1623726 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 869454 n (n - 1) (n - 4) 204120 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 129 n (n - 1) (n - 4) 1221 n (n - 1) (n - 4) + ------------------------- - -------------------------- 3 n 2 9 3 n 2 9 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 13419 n (n - 1) (n - 4) 190107 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 4 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 12 n n 11 n n 910665 n (n - 1) (n - 4) 376023 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 855894 n (n - 1) (n - 4) 1314300 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 1294902 n (n - 1) (n - 4) 735048 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 181440 n (n - 1) (n - 4) 3 n (n - 1) (n - 4) + --------------------------- - ------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 11 n n 10 n n 3 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 165 n (n - 1) (n - 2) 180 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 186 n (n - 1) (n - 2) 72 n (n - 1) (n - 2) - ------------------------ + ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 273 n (n - 1) (n - 2) 855 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 7 n n 363 n (n - 1) (n - 2) 315 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 19 n 2 n 108 n (n - 1) (n - 2) 675 n ((n - 1) ) (n - 4) - ------------------------ + ---------------------------- 4 n 2 5 6 n 3 9 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 15861 n ((n - 1) ) (n - 4) 243783 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 6 n 3 9 6 n 3 9 4 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 1290879 n ((n - 1) ) (n - 4) 2414757 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1607940 n ((n - 1) ) (n - 4) 3026088 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 3923502 n ((n - 1) ) (n - 4) 3324852 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 1651536 n ((n - 1) ) (n - 4) 362880 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------ 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 4) 135 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 6 n 3 9 6 n 3 9 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 14 n n 13 n n 543528 n (n - 1) (n - 5) 21690681 n (n - 1) (n - 5) + ---------------------------- - ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 12 n n 11 n n 19684371 n (n - 1) (n - 5) 25977750 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 3 n 2 10 3 n 2 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 5 6 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 237 n ((n - 1) ) (n - 2) 345 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 546 n ((n - 1) ) (n - 2) 444 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n n 144 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) + --------------------------- - ------------------------- 6 n 3 5 3 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 57 n (n - 1) (n - 3) 447 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 1875 n (n - 1) (n - 3) 2271 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 3174 n (n - 1) (n - 3) 2364 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 720 n (n - 1) (n - 3) 75 n (n - 1) (n - 5) + ------------------------ + ------------------------- 3 n 2 6 4 n 2 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 5) 19 n n 13 n n 3 n (n - 1) (n - 5) 11664123 n (n - 1) (n - 5) - ------------------------- - ------------------------------ 4 n 2 9 4 n 2 9 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 12 n n 11 n n 9708105 n (n - 1) (n - 5) 11817834 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 20765730 n (n - 1) (n - 5) 25570962 n (n - 1) (n - 5) + ------------------------------ - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 20865600 n (n - 1) (n - 5) 10090656 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 2177280 n (n - 1) (n - 5) 5685 n (n - 1) (n - 5) + ---------------------------- + -------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n n 14 n n 407277 n (n - 1) (n - 5) 1281735 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 4 n 2 9 4 n 2 9 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 17 n n 18 n 2 n 3381 n (n - 1) (n - 5) 33993 n ((n - 1) ) (n - 4) - -------------------------- - ------------------------------ 4 n 2 9 7 n 3 8 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 472959 n ((n - 1) ) (n - 4) 570753 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 7 n 3 8 7 n 3 8 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 7842357 n ((n - 1) ) (n - 4) 9658665 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 4232394 n ((n - 1) ) (n - 4) 5146146 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 4116906 n ((n - 1) ) (n - 4) 1943028 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 21 n 2 n 408240 n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 4) + ------------------------------ + -------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 45 n ((n - 1) ) (n - 4) 6435 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 12 n 4 23 n 3 n 54 n ((n - 1) ) n ((n - 1) ) (n - 3) + ------------------ - ------------------------- 15 n 4 9 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 9 n ((n - 1) ) (n - 3) 285 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 9 n 4 8 9 n 4 8 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 655 n ((n - 1) ) (n - 3) 31089 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 31269 n ((n - 1) ) (n - 3) 87113 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 9 n 4 8 9 n 4 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 84090 n ((n - 1) ) (n - 3) 110310 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 93656 n ((n - 1) ) (n - 3) 46296 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 12 n n 10080 n ((n - 1) ) (n - 3) 927 n (n - 1) (n - 3) + ------------------------------ - ------------------------- 9 n 4 8 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 2412 n (n - 1) (n - 3) 30501 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 9 n n 8 n n 29961 n (n - 1) (n - 3) 17829 n (n - 1) (n - 3) + -------------------------- - -------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 11718 n (n - 1) (n - 3) 3240 n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 9 n (n - 1) (n - 3) 99 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n 9 n (n - 1) (n - 3) 225 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 2367 n (n - 1) (n - 3) 13671 n (n - 1) (n - 3) - -------------------------- + --------------------------- 3 n 2 7 3 n 2 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 10 n n 9 n n 11844 n (n - 1) (n - 3) 25200 n (n - 1) (n - 3) - --------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 32112 n (n - 1) (n - 3) 22356 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 12 n 6480 n (n - 1) (n - 3) n (n - 4) 41 n (n - 4) - ------------------------- + ------------- - --------------- 3 n 2 7 n 9 n 9 (n - 1) (n ) (n - 3) 8 n (n - 4) 8 n (n - 4) 11 n 10 n 9 n 183 n (n - 4) 3741 n (n - 4) 48405 n (n - 4) + ---------------- - ----------------- + ----------------- n 9 n 9 n 9 2 n (n - 4) 4 n (n - 4) 8 n (n - 4) 8 n 7 n 6 n 206745 n (n - 4) 294619 n (n - 4) 275977 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 8 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 162123 n (n - 4) 107388 n (n - 4) 30240 n (n - 4) + ------------------ - ------------------ + ----------------- n 9 n 9 n 9 n (n - 4) n (n - 4) n (n - 4) 20 n 3 n 19 n 3 n 9 n ((n - 1) ) (n - 2) 171 n ((n - 1) ) (n - 2) - -------------------------- + ---------------------------- 10 n 4 5 10 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 1395 n ((n - 1) ) (n - 2) 6381 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 5 10 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 4473 n ((n - 1) ) (n - 2) 7866 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 8460 n ((n - 1) ) (n - 2) 5076 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 1296 n ((n - 1) ) (n - 2) 3339 n ((n - 1) ) (n - 3) - ----------------------------- - ----------------------------- 10 n 4 5 7 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 49797 n ((n - 1) ) (n - 3) 30231 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 7 n 3 6 7 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 47790 n ((n - 1) ) (n - 3) 47376 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 26676 n ((n - 1) ) (n - 3) 6480 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 9 n ((n - 1) ) (n - 3) 54 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 7 n 3 6 7 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 6 27 n 6 26 n 6 4320 n ((n - 1) ) 5 n ((n - 1) ) 105 n ((n - 1) ) - -------------------- - ----------------- + ------------------- 21 n 6 21 n 6 21 n 6 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 25 n 6 24 n 6 23 n 6 975 n ((n - 1) ) 5255 n ((n - 1) ) 2265 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 21 n 6 21 n 6 21 n 6 8 (n - 1) (n ) 8 (n - 1) (n ) (n - 1) (n ) 22 n 6 21 n 6 20 n 6 10365 n ((n - 1) ) 7870 n ((n - 1) ) 7650 n ((n - 1) ) + --------------------- - -------------------- + -------------------- 21 n 6 21 n 6 21 n 6 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 9 n 8 n 7 n 1201095 n (n - 5) 2124327 n (n - 5) 2595645 n (n - 5) - ------------------- + ------------------- - ------------------- n 9 n 9 n 9 4 n (n - 5) 2 n (n - 5) n (n - 5) 6 n 5 n 4 n 4284462 n (n - 5) 4535280 n (n - 5) 2758752 n (n - 5) + ------------------- - ------------------- + ------------------- n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 3 n 13 n 12 n 725760 n (n - 5) 135 n (n - 5) 672 n (n - 5) - ------------------ - ---------------- + ---------------- n 9 n 9 n 9 n (n - 5) 4 n (n - 5) n (n - 5) 11 n 14 n 19 n n 15615 n (n - 5) 3 n (n - 5) 3 n (n - 1) (n - 5) - ------------------ + -------------- - -------------------------- n 9 n 9 3 n 2 10 2 n (n - 5) 4 n (n - 5) 8 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 9 n ((n - 1) ) (n - 2) 153 n ((n - 1) ) (n - 2) + -------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1089 n ((n - 1) ) (n - 2) 4203 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 4743 n ((n - 1) ) (n - 2) 3123 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2214 n ((n - 1) ) (n - 2) 648 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 9 n 8 n 7 n 3 n (n - 3) 69 n (n - 3) 651 n (n - 3) 3255 n (n - 3) + -------------- - -------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 4641 n (n - 3) 3759 n (n - 3) 3186 n (n - 3) + ---------------- - ---------------- + ---------------- n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) 3 n 15 n n 1080 n (n - 3) 315 n (n - 1) (n - 4) - ---------------- + ------------------------- n 7 3 n 2 8 n (n - 3) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 2403 n (n - 1) (n - 4) 21033 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 8 3 n 2 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n n 11 n n 233793 n (n - 1) (n - 4) 861651 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 8 3 n 2 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 10 n n 9 n n 532836 n (n - 1) (n - 4) 872676 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 904392 n (n - 1) (n - 4) 534276 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 16 n n 136080 n (n - 1) (n - 4) 9 n (n - 1) (n - 4) - --------------------------- - ------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n 5 10 n 22 n 5 324 n ((n - 1) ) 234999 n (n - 5) 3 n ((n - 1) ) + ------------------- + ------------------- + ----------------- 18 n 5 n 9 17 n 5 (n - 1) (n ) 4 n (n - 5) 4 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 12 n ((n - 1) ) 327 n ((n - 1) ) 615 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 690 n ((n - 1) ) 924 n ((n - 1) ) 684 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n n 3 18 n 4 n 12 (n - 2) n 12537 n ((n - 1) ) (n - 2) + -------------- - ------------------------------ 5 n 15 n 5 4 (n - 2) n (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 10044 n ((n - 1) ) (n - 2) 4698 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 15 n 5 4 15 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 25 n 4 n 972 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------- 15 n 5 4 15 n 5 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 69 n ((n - 1) ) (n - 2) 177 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 15 n 5 4 15 n 5 4 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 2133 n ((n - 1) ) (n - 2) 16707 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 15 n 5 4 15 n 5 4 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 44409 n ((n - 1) ) (n - 2) 40539 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 5 4 15 n 5 4 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n n ((n - 1) ) (n - 3) 27 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 12 n 4 5 12 n 4 5 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 41 n ((n - 1) ) (n - 3) 1183 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 11257 n ((n - 1) ) (n - 3) 37079 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 5 12 n 4 5 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 43119 n ((n - 1) ) (n - 3) 17692 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 20064 n ((n - 1) ) (n - 3) 14958 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 6588 n ((n - 1) ) (n - 3) 1296 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 9 n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 14 n 5 5 14 n 5 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 4 n 9 n 8 n 288 n ((n - 1) ) (n - 2) 3 n (n - 3) 51 n (n - 3) + ---------------------------- + ------------- - -------------- 14 n 5 5 n 6 n 6 (n - 1) (n ) (n - 2) 2 n (n - 3) 2 n (n - 3) 7 n 6 n 5 n 4 n 345 n (n - 3) 1185 n (n - 3) 1086 n (n - 3) 1002 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 3 n 10 n 6 n 360 n (n - 3) 146767467 n (n - 6) 472328418 n (n - 6) + --------------- - ---------------------- - --------------------- n 6 n 11 n 11 n (n - 3) 8 n (n - 6) n (n - 6) 5 n 8 n 9 n 428110560 n (n - 6) 177588378 n (n - 6) 132734459 n (n - 6) + --------------------- - --------------------- + --------------------- n 11 n 11 n 11 n (n - 6) n (n - 6) 2 n (n - 6) 4 n 17 n 15 n 229284000 n (n - 6) n (n - 6) 2161 n (n - 6) - --------------------- + -------------- + ----------------- n 11 n 11 n 11 n (n - 6) 8 n (n - 6) 8 n (n - 6) 16 n 14 n 12 n 69 n (n - 6) 40689 n (n - 6) 4609407 n (n - 6) - --------------- - ------------------ - -------------------- n 11 n 11 n 11 8 n (n - 6) 8 n (n - 6) 8 n (n - 6) 11 n 13 n 7 n 30201083 n (n - 6) 514183 n (n - 6) 345378532 n (n - 6) + --------------------- + ------------------- + --------------------- n 11 n 11 n 11 8 n (n - 6) 8 n (n - 6) n (n - 6) 3 n 12 n 11 n 54432000 n (n - 6) 9 n (n - 4) 297 n (n - 4) + -------------------- + -------------- - ---------------- n 11 n 8 n 8 n (n - 6) 4 n (n - 4) 4 n (n - 4) 10 n 9 n 8 n 1053 n (n - 4) 16821 n (n - 4) 166509 n (n - 4) + ----------------- - ----------------- + ------------------ n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 7 n 6 n 5 n 528633 n (n - 4) 537039 n (n - 4) 335637 n (n - 4) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 4 n (n - 4) 2 n (n - 4) n (n - 4) 4 n 3 n 19 n 4 233118 n (n - 4) 68040 n (n - 4) n ((n - 1) ) + ------------------ - ----------------- - ----------------- n 8 n 8 15 n 4 n (n - 4) n (n - 4) 8 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 17 n ((n - 1) ) 123 n ((n - 1) ) 491 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 15 n 4 15 n 4 15 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 146 n ((n - 1) ) 207 n ((n - 1) ) 162 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 15 n 4 15 n 4 15 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 15 n 5 17 n 2 n 216 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) - ------------------- + -------------------------- 17 n 5 8 n 3 5 (n - 1) (n ) 8 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 129 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1245 n ((n - 1) ) (n - 2) 7365 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6825 n ((n - 1) ) (n - 2) 3861 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1215 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 3 n (n - 1) (n - 3) 21 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 507 n (n - 1) (n - 3) 1731 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 29463 n (n - 1) (n - 3) 10122 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 17952 n (n - 1) (n - 3) 19782 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 12258 n (n - 1) (n - 3) 3240 n (n - 1) (n - 3) - -------------------------- + ------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 2817 n ((n - 1) ) (n - 3) 18405 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 6 n 3 7 6 n 3 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 37359 n ((n - 1) ) (n - 3) 48888 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 7 6 n 3 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 82512 n ((n - 1) ) (n - 3) 86580 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 51192 n ((n - 1) ) (n - 3) 12960 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 9 n ((n - 1) ) (n - 3) 243 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 6 n 3 7 6 n 3 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 16 n n 1125 n ((n - 1) ) (n - 3) 3 n (n - 1) (n - 4) + ----------------------------- - ------------------------- 7 n 3 6 4 n 2 7 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 93 n (n - 1) (n - 4) 633 n (n - 1) (n - 4) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 4983 n (n - 1) (n - 4) 50235 n (n - 1) (n - 4) + -------------------------- - --------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 169365 n (n - 1) (n - 4) 96636 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 147276 n (n - 1) (n - 4) 143208 n (n - 1) (n - 4) + --------------------------- - --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 80028 n (n - 1) (n - 4) 19440 n (n - 1) (n - 4) + -------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 4356 n ((n - 1) ) (n - 2) 2724 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 2073 n ((n - 1) ) (n - 2) 3858 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 720 n ((n - 1) ) (n - 2) 2769 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 6 9 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 4 16 n 4 561 n ((n - 1) ) (n - 2) n ((n - 1) ) 11 n ((n - 1) ) - ---------------------------- - ----------------- + ------------------ 9 n 4 6 13 n 4 13 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) 2 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 24 n ((n - 1) ) 52 n ((n - 1) ) 56 n ((n - 1) ) - ------------------ + ------------------ - ------------------ 13 n 4 13 n 4 13 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 11 n 10 n 9 n 8 n n (n - 4) 13 n (n - 4) 143 n (n - 4) 868 n (n - 4) + ------------- - --------------- + --------------- - --------------- n 7 n 7 n 7 n 7 2 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 7 n 6 n 5 n 6349 n (n - 4) 7147 n (n - 4) 9642 n (n - 4) + ---------------- - ---------------- + ---------------- n 7 n 7 n 7 2 n (n - 4) n (n - 4) n (n - 4) 4 n 3 n 18 n 6 7092 n (n - 4) 2160 n (n - 4) 1080 n ((n - 1) ) - ---------------- + ---------------- + -------------------- n 7 n 7 21 n 6 n (n - 4) n (n - 4) (n - 1) (n ) 10 n n 9 n n 49192986 n (n - 1) (n - 5) 64883574 n (n - 1) (n - 5) + ------------------------------ - ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 56353536 n (n - 1) (n - 5) 28820448 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n n 6531840 n (n - 1) (n - 5) 4227 n (n - 1) (n - 5) + ---------------------------- - -------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 16 n n 15 n n 15807 n (n - 1) (n - 5) 626913 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 3 n 2 10 3 n 2 10 2 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 18 n n 24 n 4 n 21 n (n - 1) (n - 5) 39 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 3 n 2 10 13 n 5 6 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 183645 n ((n - 1) ) (n - 3) 169893 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 10 n 4 7 10 n 4 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 439029 n ((n - 1) ) (n - 3) 396234 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 10 n 4 7 10 n 4 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 489582 n ((n - 1) ) (n - 3) 394200 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 185976 n ((n - 1) ) (n - 3) 38880 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 9 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 10 n 4 7 10 n 4 7 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 2043 n ((n - 1) ) (n - 3) 8487 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 10 n 4 7 10 n 4 7 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 4) 27 n ((n - 1) ) (n - 4) + -------------------------- - --------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 1749 n ((n - 1) ) (n - 4) 8427 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 107661 n ((n - 1) ) (n - 4) 60042 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 1534779 n ((n - 1) ) (n - 4) 1769007 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 729702 n ((n - 1) ) (n - 4) 839862 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 639414 n ((n - 1) ) (n - 4) 288684 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 17 n 4 n 58320 n ((n - 1) ) (n - 4) 20238 n ((n - 1) ) (n - 2) + ----------------------------- + ------------------------------ 8 n 3 7 13 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 9972 n ((n - 1) ) (n - 2) 18042 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 13 n 5 6 13 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 15 n 4 n 23826 n ((n - 1) ) (n - 2) 2160 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 13 n 5 6 13 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 23 n 4 n 36753 n ((n - 1) ) (n - 2) 447 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 13 n 5 6 13 n 5 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 744 n ((n - 1) ) (n - 2) 25503 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 13 n 5 6 13 n 5 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 25 n 4 n 22 n 4 n 3 n ((n - 1) ) (n - 2) 7191 n ((n - 1) ) (n - 2) + -------------------------- - ----------------------------- 13 n 5 6 14 n 5 5 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 58167 n ((n - 1) ) (n - 2) 79605 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 5 5 14 n 5 5 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 37314 n ((n - 1) ) (n - 2) 47286 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 38718 n ((n - 1) ) (n - 2) 18468 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 3 n 3888 n ((n - 1) ) (n - 2) 450045 n ((n - 1) ) (n - 3) + ----------------------------- + ------------------------------- 14 n 5 5 11 n 4 6 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 547281 n ((n - 1) ) (n - 3) 233856 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 11 n 4 6 11 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 275148 n ((n - 1) ) (n - 3) 212058 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 96228 n ((n - 1) ) (n - 3) 19440 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 9 n ((n - 1) ) (n - 3) 261 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 11 n 4 6 11 n 4 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 423 n ((n - 1) ) (n - 3) 12951 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 19 n 3 n 12 n n 130077 n ((n - 1) ) (n - 3) 3 n (n - 1) (n - 2) - ------------------------------- - ------------------------- 11 n 4 6 4 n 2 5 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 11 n n 12 n 4 45 n (n - 1) (n - 2) 24 n ((n - 1) ) + ------------------------- + ------------------ 4 n 2 5 13 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) and in Maple notation 3/8*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^5-57/8*n^22*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 471/8*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^5-2211/8*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^ 5+3225/4*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^5-1497*n^18*((n-1)^n)^5/(n-1)^18/(n^n) ^5+1728*n^17*((n-1)^n)^5/(n-1)^18/(n^n)^5-1134*n^16*((n-1)^n)^5/(n-1)^18/(n^n)^ 5+516069/8/(n^n)*n^11*(n-5)^n/(n-5)^10-1658043/4/(n^n)*n^10*(n-5)^n/(n-5)^10+ 15058509/8/(n^n)*n^9*(n-5)^n/(n-5)^10-24310233/4/(n^n)*n^8*(n-5)^n/(n-5)^10+ 27645267/2/(n^n)*n^7*(n-5)^n/(n-5)^10-21547719/(n^n)*n^6*(n-5)^n/(n-5)^10+ 21788136/(n^n)*n^5*(n-5)^n/(n-5)^10-12777264/(n^n)*n^4*(n-5)^n/(n-5)^10+3265920 /(n^n)*n^3*(n-5)^n/(n-5)^10-81/4/(n^n)*n^14*(n-5)^n/(n-5)^10+3903/8/(n^n)*n^13* (n-5)^n/(n-5)^10-27711/4/(n^n)*n^12*(n-5)^n/(n-5)^10+3/8/(n^n)*n^15*(n-5)^n/(n-\ 5)^10-3/8*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+63/8*n^20*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-4284*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2 )^n/(n-2)^4+3969*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-2106*n^13*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+486*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^ 4*(n-2)^n/(n-2)^4-10503/8*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+ 23403/8*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-291/4*n^19*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+1551/4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 2)^n/(n-2)^4-9/8*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+99/4*n^20*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-477/2*n^19*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-2)^n/(n-2)^5+5283/4*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-\ 37035/8*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+21285/2*n^16*((n-1)^n )^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-16029*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -2)^n/(n-2)^5+15228*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-8262*n^13 *((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+1944*n^12*((n-1)^n)^3/(n-1)^11/(n ^n)^4*(n-2)^n/(n-2)^5+9/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-243/ 8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+89865/8*n^15*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-3)^n/(n-3)^6-270315/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/ (n-3)^6+138483/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-95373*n^12*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+84402*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-3)^n/(n-3)^6-43254*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+9720*n ^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+1449/4*n^17*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^6-10053/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^ 6-135/4*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+1773/4*n^17*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-3357*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n /(n-3)^7+129933/8*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-209853/4*n^ 14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+114588*n^13*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-3)^n/(n-3)^7-167058*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7 +155466*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-83268*n^10*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+19440*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/ (n-3)^7+9/8*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-9/8*n^17*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+171/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4) ^8-5751/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+14121/2*n^14*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-4)^n/(n-4)^8-359991/8*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^8+781515/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-4716297/8*n^11*(n-1)^ n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+1235592*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/ (n-4)^8-1761210*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+1623726*n^8*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-869454*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-\ 4)^8+204120*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+129/8*n^16*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^9-1221/4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9 +13419/4*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-190107/8*n^13*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^9+910665/8*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4 )^9-376023*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+855894*n^10*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^9-1314300*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 9+1294902*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-735048*n^7*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^9+181440*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-3/ 8*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-3/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2 *(n-2)^n/(n-2)^5+18*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-165/2*n^9*(n-1 )^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+180*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-\ 2)^5-186*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+72*n^6*(n-1)^n/(n-1)^3/(n^ n)^2*(n-2)^n/(n-2)^5-273/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+855/4*n ^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-363*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2 )^n/(n-2)^5+315*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-108*n^6*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-2)^n/(n-2)^5+675/2*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-\ 4)^9-15861/4*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+243783/8*n^17*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-1290879/8*n^16*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-4)^n/(n-4)^9+2414757/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9 -1607940*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+3026088*n^13*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-3923502*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -4)^n/(n-4)^9+3324852*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-1651536* n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+362880*n^9*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-4)^n/(n-4)^9+3/8*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-\ 135/8*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+543528*n^14*(n-1)^n/(n-1 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5+3/4/(n^n)*n^10*(n-3)^n/(n-3)^7-69/4/(n^n)*n^9*(n-3)^n/(n-3)^7+651/4/(n^n)*n^8 *(n-3)^n/(n-3)^7-3255/4/(n^n)*n^7*(n-3)^n/(n-3)^7+4641/2/(n^n)*n^6*(n-3)^n/(n-3 )^7-3759/(n^n)*n^5*(n-3)^n/(n-3)^7+3186/(n^n)*n^4*(n-3)^n/(n-3)^7-1080/(n^n)*n^ 3*(n-3)^n/(n-3)^7+315/4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-2403/2*n^ 14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+21033/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2 *(n-4)^n/(n-4)^8-233793/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+861651/4 *n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-532836*n^10*(n-1)^n/(n-1)^3/(n^n) ^2*(n-4)^n/(n-4)^8+872676*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-904392*n^ 8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+534276*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n -4)^n/(n-4)^8-136080*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-9/4*n^16*(n-1) ^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+324*n^15*((n-1)^n)^5/(n-1)^18/(n^n)^5+234999 /4/(n^n)*n^10*(n-5)^n/(n-5)^9+3/4*n^22*((n-1)^n)^5/(n-1)^17/(n^n)^5-12*n^21*((n -1)^n)^5/(n-1)^17/(n^n)^5+327/4*n^20*((n-1)^n)^5/(n-1)^17/(n^n)^5-615/2*n^19*(( n-1)^n)^5/(n-1)^17/(n^n)^5+690*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^5-924*n^17*((n-1 )^n)^5/(n-1)^17/(n^n)^5+684*n^16*((n-1)^n)^5/(n-1)^17/(n^n)^5+1/2*(n-2)^n/(n-2) ^5/(n^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2 )^n/(n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3-12537*n^18*((n-1)^n)^4/(n-1) ^15/(n^n)^5*(n-2)^n/(n-2)^4+10044*n^17*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-\ 2)^4-4698*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^4+972*n^15*((n-1)^n)^ 4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^4+3/8*n^25*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^ n/(n-2)^4-69/8*n^24*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^4+177/2*n^23*((n -1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^4-2133/4*n^22*((n-1)^n)^4/(n-1)^15/(n^n )^5*(n-2)^n/(n-2)^4+16707/8*n^21*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^4-\ 44409/8*n^20*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^4+40539/4*n^19*((n-1)^n )^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^4-1/8*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3 )^n/(n-3)^5+27/8*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-41*n^21*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+1183/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-3)^n/(n-3)^5-11257/8*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+ 37079/8*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-43119/4*n^17*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+17692*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n -3)^n/(n-3)^5-20064*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+14958*n^ 14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5-6588*n^13*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^5+1296*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^5+ 9/8*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-27*n^24*((n-1)^n)^4/(n-1) ^14/(n^n)^5*(n-2)^n/(n-2)^5+288*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2) ^5+3/2/(n^n)*n^9*(n-3)^n/(n-3)^6-51/2/(n^n)*n^8*(n-3)^n/(n-3)^6+345/2/(n^n)*n^7 *(n-3)^n/(n-3)^6-1185/2/(n^n)*n^6*(n-3)^n/(n-3)^6+1086/(n^n)*n^5*(n-3)^n/(n-3)^ 6-1002/(n^n)*n^4*(n-3)^n/(n-3)^6+360/(n^n)*n^3*(n-3)^n/(n-3)^6-146767467/8/(n^n )*n^10*(n-6)^n/(n-6)^11-472328418/(n^n)*n^6*(n-6)^n/(n-6)^11+428110560/(n^n)*n^ 5*(n-6)^n/(n-6)^11-177588378/(n^n)*n^8*(n-6)^n/(n-6)^11+132734459/2/(n^n)*n^9*( n-6)^n/(n-6)^11-229284000/(n^n)*n^4*(n-6)^n/(n-6)^11+1/8/(n^n)*n^17*(n-6)^n/(n-\ 6)^11+2161/8/(n^n)*n^15*(n-6)^n/(n-6)^11-69/8/(n^n)*n^16*(n-6)^n/(n-6)^11-40689 /8/(n^n)*n^14*(n-6)^n/(n-6)^11-4609407/8/(n^n)*n^12*(n-6)^n/(n-6)^11+30201083/8 /(n^n)*n^11*(n-6)^n/(n-6)^11+514183/8/(n^n)*n^13*(n-6)^n/(n-6)^11+345378532/(n^ n)*n^7*(n-6)^n/(n-6)^11+54432000/(n^n)*n^3*(n-6)^n/(n-6)^11+9/4/(n^n)*n^12*(n-4 )^n/(n-4)^8-297/4/(n^n)*n^11*(n-4)^n/(n-4)^8+1053/(n^n)*n^10*(n-4)^n/(n-4)^8-\ 16821/2/(n^n)*n^9*(n-4)^n/(n-4)^8+166509/4/(n^n)*n^8*(n-4)^n/(n-4)^8-528633/4/( n^n)*n^7*(n-4)^n/(n-4)^8+537039/2/(n^n)*n^6*(n-4)^n/(n-4)^8-335637/(n^n)*n^5*(n -4)^n/(n-4)^8+233118/(n^n)*n^4*(n-4)^n/(n-4)^8-68040/(n^n)*n^3*(n-4)^n/(n-4)^8-\ 1/8*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^4+17/8*n^18*((n-1)^n)^4/(n-1)^15/(n^n)^4-\ 123/8*n^17*((n-1)^n)^4/(n-1)^15/(n^n)^4+491/8*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^4 -146*n^15*((n-1)^n)^4/(n-1)^15/(n^n)^4+207*n^14*((n-1)^n)^4/(n-1)^15/(n^n)^4-\ 162*n^13*((n-1)^n)^4/(n-1)^15/(n^n)^4-216*n^15*((n-1)^n)^5/(n-1)^17/(n^n)^5+3/8 *n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-15/2*n^16*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-2)^n/(n-2)^5+129/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5 -1245/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+7365/8*n^13*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-6825/4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2) ^n/(n-2)^5+3861/2*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-1215*n^10*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+324*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^5-3/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+21/2*n^14*(n-1) ^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-507/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^7+1731/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-29463/8*n^11*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+10122*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^7-17952*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+19782*n^8*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-3)^n/(n-3)^7-12258*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+ 3240*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+2817/4*n^16*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-3)^n/(n-3)^7-18405/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3 )^7+37359/2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-48888*n^13*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+82512*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^7-86580*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+51192*n^10* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-12960*n^9*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-3)^n/(n-3)^7+9/4*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-243/4*n ^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+1125/2*n^16*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-3)^n/(n-3)^6-3/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+93/4* n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-633/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^7+4983/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-50235/4*n^ 12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+169365/4*n^11*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-4)^n/(n-4)^7-96636*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+147276*n^9 *(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-143208*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^7+80028*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-19440*n^6*(n-1)^ n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-4356*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n /(n-2)^6+2724*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-2073*n^16*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+3858*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 2)^n/(n-2)^6-720*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+2769/4*n^17*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-3/4*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-2)^n/(n-2)^6+63/4*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-561/4*n^ 18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-1/2*n^17*((n-1)^n)^4/(n-1)^13/(n ^n)^4+11/2*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^4-24*n^15*((n-1)^n)^4/(n-1)^13/(n^n) ^4+52*n^14*((n-1)^n)^4/(n-1)^13/(n^n)^4-56*n^13*((n-1)^n)^4/(n-1)^13/(n^n)^4+1/ 2/(n^n)*n^11*(n-4)^n/(n-4)^7-13/(n^n)*n^10*(n-4)^n/(n-4)^7+143/(n^n)*n^9*(n-4)^ n/(n-4)^7-868/(n^n)*n^8*(n-4)^n/(n-4)^7+6349/2/(n^n)*n^7*(n-4)^n/(n-4)^7-7147/( n^n)*n^6*(n-4)^n/(n-4)^7+9642/(n^n)*n^5*(n-4)^n/(n-4)^7-7092/(n^n)*n^4*(n-4)^n/ (n-4)^7+2160/(n^n)*n^3*(n-4)^n/(n-4)^7+1080*n^18*((n-1)^n)^6/(n-1)^21/(n^n)^6+ 49192986*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-64883574*n^9*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-5)^n/(n-5)^10+56353536*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5 )^10-28820448*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+6531840*n^6*(n-1)^n/ (n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-4227/8*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n -5)^10+15807/2*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-626913/8*n^15*(n-1 )^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+21*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n -5)^10-39/4*n^24*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^6-183645/8*n^19*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+169893/2*n^18*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-3)^n/(n-3)^7-439029/2*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^ 7+396234*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-489582*n^15*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+394200*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*( n-3)^n/(n-3)^7-185976*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+38880*n ^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-9/8*n^23*((n-1)^n)^3/(n-1)^10/ (n^n)^4*(n-3)^n/(n-3)^7+36*n^22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-\ 2043/4*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+8487/2*n^20*((n-1)^n)^ 3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+3/8*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^7-27/2*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+1749/8*n^19*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-8427/4*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-4)^n/(n-4)^7+107661/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-\ 60042*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+1534779/8*n^15*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-1769007/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^7+729702*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-839862*n ^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+639414*n^11*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-4)^n/(n-4)^7-288684*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^ 7+58320*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+20238*n^17*((n-1)^n)^4/ (n-1)^13/(n^n)^5*(n-2)^n/(n-2)^6-9972*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n /(n-2)^6+18042*n^19*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^6-23826*n^18*((n -1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^6+2160*n^15*((n-1)^n)^4/(n-1)^13/(n^n)^ 5*(n-2)^n/(n-2)^6-36753/4*n^20*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^6+447 /4*n^23*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^6-744*n^22*((n-1)^n)^4/(n-1) ^13/(n^n)^5*(n-2)^n/(n-2)^6+25503/8*n^21*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/( n-2)^6+3/8*n^25*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^6-7191/4*n^22*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+58167/8*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^ 5*(n-2)^n/(n-2)^5-79605/4*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+ 37314*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-47286*n^18*((n-1)^n)^4/ (n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+38718*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^ n/(n-2)^5-18468*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+3888*n^15*((n -1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+450045/8*n^18*((n-1)^n)^3/(n-1)^11/(n ^n)^4*(n-3)^n/(n-3)^6-547281/4*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^ 6+233856*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-275148*n^15*((n-1)^n )^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+212058*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*( n-3)^n/(n-3)^6-96228*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+19440*n^ 12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-9/8*n^23*((n-1)^n)^3/(n-1)^11/( n^n)^4*(n-3)^n/(n-3)^6+261/8*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-\ 423*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+12951/4*n^20*((n-1)^n)^3/ (n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-130077/8*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 3)^n/(n-3)^6-3/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+45/4*n^11*(n-1)^n /(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+24*n^12*((n-1)^n)^4/(n-1)^13/(n^n)^4 The, 3, 4, mixed moment of, X[2], and , X[3], is 21 n 7 11 n 10 n 3888 n ((n - 1) ) 1548207 n (n - 5) 4974129 n (n - 5) - -------------------- + -------------------- - -------------------- 25 n 7 n 10 n 10 (n - 1) (n ) 4 n (n - 5) 2 n (n - 5) 9 n 8 n 7 n 45175527 n (n - 5) 72930699 n (n - 5) 82935801 n (n - 5) + -------------------- - -------------------- + -------------------- n 10 n 10 n 10 4 n (n - 5) 2 n (n - 5) n (n - 5) 6 n 5 n 4 n 129286314 n (n - 5) 130728816 n (n - 5) 76663584 n (n - 5) - --------------------- + --------------------- - -------------------- n 10 n 10 n 10 n (n - 5) n (n - 5) n (n - 5) 3 n 14 n 13 n 19595520 n (n - 5) 243 n (n - 5) 11709 n (n - 5) + -------------------- - ---------------- + ------------------ n 10 n 10 n 10 n (n - 5) 2 n (n - 5) 4 n (n - 5) 12 n 15 n 21 n 3 n 83133 n (n - 5) 9 n (n - 5) 9 n ((n - 1) ) (n - 2) - ------------------ + -------------- - -------------------------- n 10 n 10 11 n 4 5 2 n (n - 5) 4 n (n - 5) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 99 n ((n - 1) ) (n - 2) 477 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 4 5 11 n 4 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 5283 n ((n - 1) ) (n - 2) 37035 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 11 n 4 5 11 n 4 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 21285 n ((n - 1) ) (n - 2) 32058 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 30456 n ((n - 1) ) (n - 2) 16524 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 19 n 2 n 3888 n ((n - 1) ) (n - 2) 9 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 11 n 4 5 8 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 18 n 2 n 15 n 2 n 243 n ((n - 1) ) (n - 3) 89865 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 270315 n ((n - 1) ) (n - 3) 138483 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 190746 n ((n - 1) ) (n - 3) 168804 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 86508 n ((n - 1) ) (n - 3) 19440 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 1449 n ((n - 1) ) (n - 3) 10053 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 135 n ((n - 1) ) (n - 3) 1773 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 13428 n ((n - 1) ) (n - 3) 129933 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 209853 n ((n - 1) ) (n - 3) 458352 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 668232 n ((n - 1) ) (n - 3) 621864 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 333072 n ((n - 1) ) (n - 3) 77760 n ((n - 1) ) (n - 3) - ------------------------------- + ----------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 17 n n 9 n ((n - 1) ) (n - 3) 9 n (n - 1) (n - 4) + -------------------------- - ------------------------- 7 n 3 7 4 n 2 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 16 n n 15 n n 171 n (n - 1) (n - 4) 5751 n (n - 1) (n - 4) + ------------------------- - -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 28242 n (n - 1) (n - 4) 359991 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n n 11 n n 781515 n (n - 1) (n - 4) 4716297 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 4942368 n (n - 1) (n - 4) 7044840 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 6494904 n (n - 1) (n - 4) 3477816 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 16 n n 816480 n (n - 1) (n - 4) 387 n (n - 1) (n - 4) + --------------------------- + ------------------------- 4 n 2 8 3 n 2 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 3663 n (n - 1) (n - 4) 40257 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 9 3 n 2 9 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 570321 n (n - 1) (n - 4) 2731995 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 3 n 2 9 3 n 2 9 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 2256138 n (n - 1) (n - 4) 5135364 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 7885800 n (n - 1) (n - 4) 7769412 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 4410288 n (n - 1) (n - 4) 1088640 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 18 n 6 9 n (n - 1) (n - 4) 972 n ((n - 1) ) - ------------------------- - ------------------- 3 n 2 9 22 n 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) 18 n 4 n 17 n 4 n 47655 n ((n - 1) ) (n - 2) 17415 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 5 4 16 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 7533 n ((n - 1) ) (n - 2) 1458 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 16 n 5 4 16 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 3 n ((n - 1) ) (n - 2) 39 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 915 n ((n - 1) ) (n - 2) 3195 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 29505 n ((n - 1) ) (n - 2) 47265 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 214305 n ((n - 1) ) (n - 2) 171765 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 3 n ((n - 1) ) (n - 2) 81 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 15 n 5 5 15 n 5 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 246 n ((n - 1) ) (n - 2) 3549 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 33771 n ((n - 1) ) (n - 2) 111237 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 15 n 5 5 15 n 5 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 129357 n ((n - 1) ) (n - 2) 106152 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 15 n 5 5 15 n 5 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 120384 n ((n - 1) ) (n - 2) 89748 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 39528 n ((n - 1) ) (n - 2) 7776 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 814899 n ((n - 1) ) (n - 3) 859089 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 651144 n ((n - 1) ) (n - 3) 691668 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 488268 n ((n - 1) ) (n - 3) 205416 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 16 n 3 n 38880 n ((n - 1) ) (n - 3) 10657 n ((n - 1) ) (n - 2) - ------------------------------ - ------------------------------ 12 n 4 6 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 14070 n ((n - 1) ) (n - 2) 11988 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 5940 n ((n - 1) ) (n - 2) 1296 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 139 n ((n - 1) ) (n - 2) 905 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 5 12 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 7637 n ((n - 1) ) (n - 2) 21805 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 3 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 1389 n ((n - 1) ) (n - 3) 6009 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 69261 n ((n - 1) ) (n - 3) 70023 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 1230507 n ((n - 1) ) (n - 3) 474354 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 2109555 n ((n - 1) ) (n - 3) 1678284 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 1862946 n ((n - 1) ) (n - 3) 1368576 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 596808 n ((n - 1) ) (n - 3) 116640 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 9 n ((n - 1) ) (n - 3) 315 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 11 n 4 7 11 n 4 7 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 2475 n ((n - 1) ) (n - 3) 23103 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 11 n 4 7 11 n 4 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 20 n 3 n 16 n 2 n 285489 n ((n - 1) ) (n - 3) 70167 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 11 n 4 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 269835 n ((n - 1) ) (n - 3) 362637 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 170274 n ((n - 1) ) (n - 3) 218880 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 183222 n ((n - 1) ) (n - 3) 89748 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 19440 n ((n - 1) ) (n - 3) 676917 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 8 n 3 7 8 n 3 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 3701889 n ((n - 1) ) (n - 4) 14691393 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 42844401 n ((n - 1) ) (n - 4) 45905571 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 17843328 n ((n - 1) ) (n - 4) 19555344 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 14293746 n ((n - 1) ) (n - 4) 6237324 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 21 n 2 n 1224720 n ((n - 1) ) (n - 4) 387 n ((n - 1) ) (n - 4) - ------------------------------- - ---------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 7515 n ((n - 1) ) (n - 4) 87291 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 9 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 3) + -------------------------- + -------------------------- 8 n 3 8 8 n 3 7 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 99 n ((n - 1) ) (n - 3) 363 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 26 n 3 n 6249 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------- 8 n 3 7 11 n 4 8 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 5055723 n ((n - 1) ) (n - 4) 22095171 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 11 n 4 8 11 n 4 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 72227187 n ((n - 1) ) (n - 4) 22187493 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 11 n 4 8 11 n 4 8 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 81592227 n ((n - 1) ) (n - 4) 55242000 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 11 n 4 8 11 n 4 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 53404434 n ((n - 1) ) (n - 4) 34824816 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 11 n 4 8 11 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 13699368 n ((n - 1) ) (n - 4) 2449440 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 11 n 4 8 11 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 8289 n ((n - 1) ) (n - 4) 102321 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 11 n 4 8 11 n 4 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 3 n 25 n 3 n 851499 n ((n - 1) ) (n - 4) 405 n ((n - 1) ) (n - 4) - ------------------------------- + ---------------------------- 11 n 4 8 11 n 4 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 23 n 2 n 24 n 2 n 165 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 5) - ---------------------------- + -------------------------- 8 n 3 9 8 n 3 9 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 21 n 2 n 22 n 2 n 63285 n ((n - 1) ) (n - 5) 4149 n ((n - 1) ) (n - 5) - ------------------------------ + ----------------------------- 8 n 3 9 8 n 3 9 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 179344755 n ((n - 1) ) (n - 5) 108979215 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 8 n 3 9 8 n 3 9 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 200306616 n ((n - 1) ) (n - 5) 273314790 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 267844428 n ((n - 1) ) (n - 5) 177824160 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 3 n (n - 1) (n - 2) 18 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 165 n (n - 1) (n - 2) 180 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 5 3 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 186 n (n - 1) (n - 2) 72 n (n - 1) (n - 2) - ------------------------ + ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 91 n (n - 1) (n - 2) 285 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 484 n (n - 1) (n - 2) 420 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 19 n 2 n 144 n (n - 1) (n - 2) 2025 n ((n - 1) ) (n - 4) - ------------------------ + ----------------------------- 4 n 2 5 6 n 3 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 47583 n ((n - 1) ) (n - 4) 731349 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 6 n 3 9 6 n 3 9 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 3872637 n ((n - 1) ) (n - 4) 7244271 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 9647640 n ((n - 1) ) (n - 4) 18156528 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 23541012 n ((n - 1) ) (n - 4) 19949112 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 9909216 n ((n - 1) ) (n - 4) 2177280 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 9 n ((n - 1) ) (n - 4) 405 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 6 n 3 9 6 n 3 9 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 3261168 n (n - 1) (n - 5) 65072043 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 12 n n 11 n n 59053113 n (n - 1) (n - 5) 155866500 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 5 6 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 237 n ((n - 1) ) (n - 2) 345 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 546 n ((n - 1) ) (n - 2) 444 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n n 144 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) + --------------------------- - ------------------------- 6 n 3 5 3 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 57 n (n - 1) (n - 3) 447 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 1875 n (n - 1) (n - 3) 2271 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 3174 n (n - 1) (n - 3) 2364 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 720 n (n - 1) (n - 3) 75 n (n - 1) (n - 5) + ------------------------ + ------------------------ 3 n 2 6 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 19 n n 13 n n 3 n (n - 1) (n - 5) 11664123 n (n - 1) (n - 5) - ------------------------- - ------------------------------ 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n n 11 n n 19416210 n (n - 1) (n - 5) 47271336 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 83062920 n (n - 1) (n - 5) 102283848 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 83462400 n (n - 1) (n - 5) 40362624 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 8709120 n (n - 1) (n - 5) 22740 n (n - 1) (n - 5) + ---------------------------- + --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n n 14 n n 407277 n (n - 1) (n - 5) 1281735 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n n 28 n 4 n 3381 n (n - 1) (n - 5) 3 n ((n - 1) ) (n - 3) - -------------------------- + -------------------------- 4 n 2 9 15 n 5 6 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 51 n ((n - 1) ) (n - 3) 1581 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 15 n 5 6 15 n 5 6 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 3699 n ((n - 1) ) (n - 3) 93297 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 209307 n ((n - 1) ) (n - 3) 1375083 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 15 n 5 6 15 n 5 6 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 4) 41 n ((n - 1) ) (n - 4) - -------------------------- + --------------------------- 12 n 4 7 12 n 4 7 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 769 n ((n - 1) ) (n - 4) 8749 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 12 n 4 7 12 n 4 7 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 67475 n ((n - 1) ) (n - 4) 373255 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 12 n 4 7 12 n 4 7 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 20 n 3 n 18 n 2 n 1527475 n ((n - 1) ) (n - 4) 33993 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------ 12 n 4 7 7 n 3 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 472959 n ((n - 1) ) (n - 4) 1141506 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 7842357 n ((n - 1) ) (n - 4) 9658665 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 16929576 n ((n - 1) ) (n - 4) 20584584 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 16467624 n ((n - 1) ) (n - 4) 7772112 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 21 n 2 n 1632960 n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 4) + ------------------------------- + -------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 180 n ((n - 1) ) (n - 4) 6435 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 28 n 5 n 27 n 5 n 651 n ((n - 1) ) (n - 2) 5445 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 17 n 6 6 17 n 6 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 29 n 5 n 22 n 4 n 93 n ((n - 1) ) (n - 2) 3127923 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------------- 17 n 6 6 14 n 5 7 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 4006971 n ((n - 1) ) (n - 3) 3787839 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 7 14 n 5 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 5219514 n ((n - 1) ) (n - 3) 5094468 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 7 14 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 3333960 n ((n - 1) ) (n - 3) 1310256 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 7 14 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 28 n 4 n 233280 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------- 14 n 5 7 14 n 5 7 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 333 n ((n - 1) ) (n - 3) 1395 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 14 n 5 7 14 n 5 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 28053 n ((n - 1) ) (n - 3) 377901 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 14 n 5 7 14 n 5 7 4 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 23 n 4 n 23 n 3 n 1801485 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - -------------------------------- - -------------------------- 14 n 5 7 9 n 4 8 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 27 n ((n - 1) ) (n - 3) 855 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 3930 n ((n - 1) ) (n - 3) 93267 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 93807 n ((n - 1) ) (n - 3) 261339 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 504540 n ((n - 1) ) (n - 3) 661860 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 561936 n ((n - 1) ) (n - 3) 277776 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 12 n n 60480 n ((n - 1) ) (n - 3) 618 n (n - 1) (n - 3) + ------------------------------ - ------------------------- 9 n 4 8 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 3216 n (n - 1) (n - 3) 10167 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 19974 n (n - 1) (n - 3) 23772 n (n - 1) (n - 3) + -------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 15624 n (n - 1) (n - 3) 4320 n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 3 n (n - 1) (n - 3) 66 n (n - 1) (n - 3) - ----------------------- + ------------------------ 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 21 n (n - 1) (n - 3) 525 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 5523 n (n - 1) (n - 3) 31899 n (n - 1) (n - 3) - -------------------------- + --------------------------- 3 n 2 7 3 n 2 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 10 n n 16 n 4 n 27636 n (n - 1) (n - 3) 23004 n ((n - 1) ) (n - 3) - --------------------------- + ------------------------------ 3 n 2 7 16 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 30 n 5 n 3888 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 2) - ----------------------------- - -------------------------- 16 n 5 5 18 n 6 5 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 87 n ((n - 1) ) (n - 2) 573 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 18 n 6 5 18 n 6 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 4533 n ((n - 1) ) (n - 2) 47967 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 18 n 6 5 18 n 6 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 178779 n ((n - 1) ) (n - 2) 120297 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 6 5 18 n 6 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 235509 n ((n - 1) ) (n - 2) 332688 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 6 5 18 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 330516 n ((n - 1) ) (n - 2) 219024 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 6 5 18 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 86832 n ((n - 1) ) (n - 2) 15552 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 18 n 6 5 18 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 836994 n ((n - 1) ) (n - 3) 1510233 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1993956 n ((n - 1) ) (n - 3) 1871604 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1181952 n ((n - 1) ) (n - 3) 449712 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 30 n 5 n 77760 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 2) - ------------------------------ - --------------------------- 15 n 5 6 19 n 6 4 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 65070 n ((n - 1) ) (n - 2) 42363 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 19 n 6 4 19 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 16524 n ((n - 1) ) (n - 2) 2916 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 19 n 6 4 19 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 21 n ((n - 1) ) (n - 2) 1071 n ((n - 1) ) (n - 2) + --------------------------- - ----------------------------- 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 2055 n ((n - 1) ) (n - 2) 42285 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 38385 n ((n - 1) ) (n - 2) 403365 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 193035 n ((n - 1) ) (n - 2) 267075 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 469 n ((n - 1) ) (n - 3) 521 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 16 n 5 5 16 n 5 5 16 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 16 n 5 5 16 n 5 5 16 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 25055 n ((n - 1) ) (n - 3) 13445 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 16 n 5 5 16 n 5 5 16 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 339175 n ((n - 1) ) (n - 3) 49700 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 16 n 5 5 16 n 5 5 16 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 346405 n ((n - 1) ) (n - 3) 110715 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 16 n 5 5 16 n 5 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 100881 n ((n - 1) ) (n - 3) 61992 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 16 n 5 5 16 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 58800 n (n - 1) (n - 3) 74928 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 13 n 52164 n (n - 1) (n - 3) 15120 n (n - 1) (n - 3) 3 n (n - 4) + -------------------------- - -------------------------- + -------------- 3 n 2 7 3 n 2 7 n 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 4 n (n - 4) 12 n 11 n 10 n 123 n (n - 4) 549 n (n - 4) 11223 n (n - 4) - ---------------- + ---------------- - ------------------ n 9 n 9 n 9 4 n (n - 4) n (n - 4) 2 n (n - 4) 9 n 8 n 7 n 145215 n (n - 4) 620235 n (n - 4) 883857 n (n - 4) + ------------------ - ------------------ + ------------------ n 9 n 9 n 9 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 827931 n (n - 4) 972738 n (n - 4) 644328 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 n (n - 4) n (n - 4) n (n - 4) 3 n 14 n 3 n 181440 n (n - 4) 57139344 n ((n - 1) ) (n - 4) + ------------------ - --------------------------------- n 9 10 n 4 9 n (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 23447232 n ((n - 1) ) (n - 4) 4354560 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n 3 n ((n - 1) ) (n - 4) 75 n ((n - 1) ) (n - 4) - -------------------------- + --------------------------- 10 n 4 9 10 n 4 9 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 3393 n ((n - 1) ) (n - 4) 11508 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 10 n 4 9 10 n 4 9 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 213280233 n ((n - 1) ) (n - 5) 365826753 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 7 n 3 10 7 n 3 10 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 476269698 n ((n - 1) ) (n - 5) 933430008 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 7 n 3 10 7 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 1351858644 n ((n - 1) ) (n - 5) - ----------------------------------- 7 n 3 10 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 1399779144 n ((n - 1) ) (n - 5) 977510592 n ((n - 1) ) (n - 5) + ----------------------------------- - ---------------------------------- 7 n 3 10 7 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 20 n 3 n 411163776 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 2) + ---------------------------------- - -------------------------- 7 n 3 10 10 n 4 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 57 n ((n - 1) ) (n - 2) 465 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 2127 n ((n - 1) ) (n - 2) 5964 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 10488 n ((n - 1) ) (n - 2) 11280 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 6768 n ((n - 1) ) (n - 2) 1728 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 4452 n ((n - 1) ) (n - 3) 16599 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 40308 n ((n - 1) ) (n - 3) 63720 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 63168 n ((n - 1) ) (n - 3) 35568 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 8640 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 19 n 6 27 n 6 72 n ((n - 1) ) (n - 3) 5184 n ((n - 1) ) 3 n ((n - 1) ) - --------------------------- - -------------------- - ----------------- 7 n 3 6 21 n 6 21 n 6 (n - 1) (n ) (n - 3) (n - 1) (n ) 4 (n - 1) (n ) 26 n 6 25 n 6 24 n 6 63 n ((n - 1) ) 585 n ((n - 1) ) 3153 n ((n - 1) ) + ------------------ - ------------------- + -------------------- 21 n 6 21 n 6 21 n 6 4 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 2718 n ((n - 1) ) 6219 n ((n - 1) ) 9444 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 21 n 6 21 n 6 21 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 20 n 6 19 n 20 n 9180 n ((n - 1) ) 49 n (n - 7) n (n - 7) + -------------------- - --------------- + --------------- 21 n 6 n 13 n 13 (n - 1) (n ) 8 n (n - 7) 16 n (n - 7) 10 n 6 n 18972286346 n (n - 7) 248188813128 n (n - 7) + ------------------------ + ------------------------ n 13 n 13 n (n - 7) n (n - 7) 5 n 8 n 201274385760 n (n - 7) 124013916849 n (n - 7) - ------------------------ + ------------------------ n 13 n 13 n (n - 7) n (n - 7) 9 n 4 n 18 n 55500006835 n (n - 7) 98144784000 n (n - 7) 277 n (n - 7) - ----------------------- + ----------------------- + ---------------- n 13 n 13 n 13 n (n - 7) n (n - 7) n (n - 7) 17 n 15 n 16 n 30695 n (n - 7) 2013641 n (n - 7) 1166141 n (n - 7) - ------------------ - -------------------- + -------------------- n 13 n 13 n 13 4 n (n - 7) n (n - 7) 8 n (n - 7) 14 n 12 n 41866123 n (n - 7) 16592137133 n (n - 7) + --------------------- + ------------------------ n 13 n 13 2 n (n - 7) 16 n (n - 7) 11 n 13 n 40182189047 n (n - 7) 668592925 n (n - 7) - ------------------------ - ---------------------- n 13 n 13 8 n (n - 7) 4 n (n - 7) 7 n 3 n 9 n 206856480222 n (n - 7) 21555072000 n (n - 7) 2802555 n (n - 5) - ------------------------ - ----------------------- - ------------------- n 13 n 13 n 9 n (n - 7) n (n - 7) 4 n (n - 5) 8 n 7 n 6 n 4956763 n (n - 5) 6056505 n (n - 5) 9997078 n (n - 5) + ------------------- - ------------------- + ------------------- n 9 n 9 n 9 2 n (n - 5) n (n - 5) n (n - 5) 5 n 4 n 3 n 10582320 n (n - 5) 6437088 n (n - 5) 1693440 n (n - 5) - -------------------- + ------------------- - ------------------- n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 13 n 12 n 11 n 315 n (n - 5) 1568 n (n - 5) 36435 n (n - 5) - ---------------- + ----------------- - ------------------ n 9 n 9 n 9 4 n (n - 5) n (n - 5) 2 n (n - 5) 14 n 19 n n 7 n (n - 5) 9 n (n - 1) (n - 5) + -------------- - -------------------------- n 9 3 n 2 10 4 n (n - 5) 4 (n - 1) (n ) (n - 5) 9 n 2 n 20 n 2 n 78382080 n ((n - 1) ) (n - 5) 968415 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------- 7 n 3 10 7 n 3 10 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 7862157 n ((n - 1) ) (n - 5) 47193279 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 7 n 3 10 7 n 3 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 21 n 2 n 24 n 2 n 85371 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 5) - ------------------------------ + -------------------------- 7 n 3 10 7 n 3 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 51 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 363 n ((n - 1) ) (n - 2) 1401 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 3162 n ((n - 1) ) (n - 2) 4164 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2952 n ((n - 1) ) (n - 2) 864 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 9 n 8 n 7 n 7 n (n - 3) 161 n (n - 3) 1519 n (n - 3) 7595 n (n - 3) + -------------- - --------------- + ---------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 10829 n (n - 3) 8771 n (n - 3) 7434 n (n - 3) + ----------------- - ---------------- + ---------------- n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) 3 n 32 n 7 31 n 7 2520 n (n - 3) 3 n ((n - 1) ) 39 n ((n - 1) ) - ---------------- + ----------------- - ------------------ n 7 25 n 7 25 n 7 n (n - 3) 8 (n - 1) (n ) 4 (n - 1) (n ) 30 n 7 29 n 7 28 n 7 459 n ((n - 1) ) 807 n ((n - 1) ) 30147 n ((n - 1) ) + ------------------- - ------------------- + --------------------- 25 n 7 25 n 7 25 n 7 4 (n - 1) (n ) (n - 1) (n ) 8 (n - 1) (n ) 27 n 7 26 n 7 25 n 7 49077 n ((n - 1) ) 56847 n ((n - 1) ) 46857 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 25 n 7 25 n 7 25 n 7 4 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 24 n 7 23 n 7 22 n 7 53874 n ((n - 1) ) 41148 n ((n - 1) ) 18792 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 25 n 7 25 n 7 25 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 15 n n 14 n n 735 n (n - 1) (n - 4) 5607 n (n - 1) (n - 4) + ------------------------- - -------------------------- 3 n 2 8 3 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 49077 n (n - 1) (n - 4) 545517 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 2010519 n (n - 1) (n - 4) 1243284 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 3 n 2 8 3 n 2 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 2036244 n (n - 1) (n - 4) 2110248 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1246644 n (n - 1) (n - 4) 317520 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 22 n n 21 n (n - 1) (n - 4) n (n - 1) (n - 6) - ------------------------- - -------------------------- 3 n 2 8 4 n 2 11 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 6) 21 n n 10 n 22 n 5 37 n (n - 1) (n - 6) 548331 n (n - 5) n ((n - 1) ) + -------------------------- + ------------------- + --------------- 4 n 2 11 n 9 17 n 5 2 (n - 1) (n ) (n - 6) 4 n (n - 5) (n - 1) (n ) 21 n 5 20 n 5 19 n 5 16 n ((n - 1) ) 109 n ((n - 1) ) 410 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 18 n 5 17 n 5 16 n 5 920 n ((n - 1) ) 1232 n ((n - 1) ) 912 n ((n - 1) ) + ------------------- - -------------------- + ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n n 3 25 n 4 n 12 (n - 2) n 9 n ((n - 1) ) (n - 2) + -------------- + -------------------------- 5 n 14 n 5 5 (n - 2) n 4 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 54 n ((n - 1) ) (n - 2) 576 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 5619888 n ((n - 1) ) (n - 4) 1088640 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 9 n 4 10 9 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n 7 n ((n - 1) ) (n - 4) 1413 n ((n - 1) ) (n - 4) + -------------------------- - ----------------------------- 9 n 4 10 9 n 4 10 2 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 9 n 8 n 7 n 6 n 3 n (n - 3) 51 n (n - 3) 345 n (n - 3) 1185 n (n - 3) + ------------- - -------------- + --------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 1086 n (n - 3) 1002 n (n - 3) 360 n (n - 3) + ---------------- - ---------------- + --------------- n 6 n 6 n 6 n (n - 3) n (n - 3) n (n - 3) 10 n 6 n 5 n 440302401 n (n - 6) 2833970508 n (n - 6) 2568663360 n (n - 6) - ---------------------- - ---------------------- + ---------------------- n 11 n 11 n 11 4 n (n - 6) n (n - 6) n (n - 6) 8 n 9 n 4 n 1065530268 n (n - 6) 398203377 n (n - 6) 1375704000 n (n - 6) - ---------------------- + --------------------- - ---------------------- n 11 n 11 n 11 n (n - 6) n (n - 6) n (n - 6) 17 n 15 n 16 n 3 n (n - 6) 6483 n (n - 6) 207 n (n - 6) + -------------- + ----------------- - ---------------- n 11 n 11 n 11 4 n (n - 6) 4 n (n - 6) 4 n (n - 6) 14 n 12 n 11 n 122067 n (n - 6) 13828221 n (n - 6) 90603249 n (n - 6) - ------------------- - --------------------- + --------------------- n 11 n 11 n 11 4 n (n - 6) 4 n (n - 6) 4 n (n - 6) 13 n 7 n 3 n 1542549 n (n - 6) 2072271192 n (n - 6) 326592000 n (n - 6) + -------------------- + ---------------------- + --------------------- n 11 n 11 n 11 4 n (n - 6) n (n - 6) n (n - 6) 12 n 11 n 10 n 21 n (n - 4) 693 n (n - 4) 2457 n (n - 4) + --------------- - ---------------- + ----------------- n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) n (n - 4) 9 n 8 n 7 n 39249 n (n - 4) 388521 n (n - 4) 1233477 n (n - 4) - ----------------- + ------------------ - ------------------- n 8 n 8 n 8 2 n (n - 4) 4 n (n - 4) 4 n (n - 4) 6 n 5 n 4 n 1253091 n (n - 4) 783153 n (n - 4) 543942 n (n - 4) + ------------------- - ------------------ + ------------------ n 8 n 8 n 8 2 n (n - 4) n (n - 4) n (n - 4) 3 n 28 n 4 n 158760 n (n - 4) n ((n - 1) ) (n - 3) - ------------------ + -------------------------- n 8 13 n 5 8 n (n - 4) 4 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 41 n ((n - 1) ) (n - 3) 189 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 13 n 5 8 13 n 5 8 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 4153 n ((n - 1) ) (n - 3) 60709 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 13 n 5 8 13 n 5 8 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 311961 n ((n - 1) ) (n - 3) 580183 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 13 n 5 8 13 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 791359 n ((n - 1) ) (n - 3) 1584198 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 13 n 5 8 13 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 2299492 n ((n - 1) ) (n - 3) 2352872 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 13 n 5 8 13 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1606992 n ((n - 1) ) (n - 3) 656352 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 13 n 5 8 13 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 22 n 3 n 120960 n ((n - 1) ) (n - 3) 418593 n ((n - 1) ) (n - 4) - ------------------------------- - ------------------------------- 13 n 5 8 10 n 4 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 1350063 n ((n - 1) ) (n - 4) 12746607 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 10 n 4 9 10 n 4 9 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 11189091 n ((n - 1) ) (n - 4) 29375847 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 57403164 n ((n - 1) ) (n - 4) 82197780 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 19 n 3 n 83633616 n ((n - 1) ) (n - 4) 4697975 n ((n - 1) ) (n - 4) + --------------------------------- + -------------------------------- 10 n 4 9 12 n 4 7 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 2728030 n ((n - 1) ) (n - 4) 4761255 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 6144624 n ((n - 1) ) (n - 4) 5683284 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 3558816 n ((n - 1) ) (n - 4) 1349136 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 30 n 5 n 233280 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 2) - ------------------------------- - -------------------------- 12 n 4 7 17 n 6 6 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 173448 n ((n - 1) ) (n - 2) 70632 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 17 n 6 6 17 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 247620 n ((n - 1) ) (n - 2) 254118 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 17 n 6 6 17 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 12960 n ((n - 1) ) (n - 2) 338331 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 17 n 6 6 17 n 6 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 60627 n ((n - 1) ) (n - 2) 236733 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 17 n 6 6 17 n 6 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 24 n 5 n 15 n 5 166221 n ((n - 1) ) (n - 2) 288 n ((n - 1) ) - ------------------------------- - ------------------- 17 n 6 6 17 n 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 2) 15 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 129 n ((n - 1) ) (n - 2) 1245 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 7365 n ((n - 1) ) (n - 2) 6825 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 3861 n ((n - 1) ) (n - 2) 2430 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 15 n n 648 n ((n - 1) ) (n - 2) 3 n (n - 1) (n - 3) + --------------------------- - ------------------------- 8 n 3 5 4 n 2 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n 42 n (n - 1) (n - 3) 507 n (n - 1) (n - 3) + ------------------------ - ------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 3462 n (n - 1) (n - 3) 29463 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 40488 n (n - 1) (n - 3) 71808 n (n - 1) (n - 3) + --------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 79128 n (n - 1) (n - 3) 49032 n (n - 1) (n - 3) + -------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 22 n 2 n 12960 n (n - 1) (n - 3) 5085 n ((n - 1) ) (n - 5) + -------------------------- + ----------------------------- 4 n 2 7 7 n 3 10 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 5) 23 n 2 n 16 n 2 n 183 n ((n - 1) ) (n - 5) 6573 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 7 n 3 10 6 n 3 7 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 42945 n ((n - 1) ) (n - 3) 87171 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 114072 n ((n - 1) ) (n - 3) 192528 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 202020 n ((n - 1) ) (n - 3) 119448 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 30240 n ((n - 1) ) (n - 3) 21 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 2 n 10 n 2 n 567 n ((n - 1) ) (n - 3) 71430336 n ((n - 1) ) (n - 5) - ---------------------------- + --------------------------------- 6 n 3 7 8 n 3 9 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 9 n 2 n 19 n 2 n 13063680 n ((n - 1) ) (n - 5) 4872735 n ((n - 1) ) (n - 5) - -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 26925135 n ((n - 1) ) (n - 5) 112533855 n ((n - 1) ) (n - 5) + --------------------------------- - ---------------------------------- 8 n 3 9 8 n 3 9 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 20 n 2 n 16 n 2 n 654963 n ((n - 1) ) (n - 5) 750 n ((n - 1) ) (n - 3) + ------------------------------- + ---------------------------- 8 n 3 9 7 n 3 6 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 3) 16 n n 15 n n n (n - 1) (n - 4) 31 n (n - 1) (n - 4) - ----------------------- + ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 422 n (n - 1) (n - 4) 3322 n (n - 1) (n - 4) - ------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 16745 n (n - 1) (n - 4) 56455 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 128848 n (n - 1) (n - 4) 196368 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 190944 n (n - 1) (n - 4) 106704 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 14 n 3 n 25920 n (n - 1) (n - 4) 10164 n ((n - 1) ) (n - 2) - -------------------------- - ------------------------------ 4 n 2 7 9 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 6356 n ((n - 1) ) (n - 2) 4837 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 12 n 3 n 9002 n ((n - 1) ) (n - 2) 1680 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 20 n 3 n 6461 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + ----------------------------- - -------------------------- 9 n 4 6 9 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 147 n ((n - 1) ) (n - 2) 1309 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 6 9 n 4 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 26 n 3 n 23 n 3 n n ((n - 1) ) (n - 4) 5321 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 9 n 4 10 9 n 4 10 16 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 213775 n ((n - 1) ) (n - 4) 94656 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 9 n 4 10 9 n 4 10 16 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 7805759 n ((n - 1) ) (n - 4) 7435333 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 9 n 4 10 9 n 4 10 16 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 21053223 n ((n - 1) ) (n - 4) 11025565 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 9 n 4 10 9 n 4 10 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 16825493 n ((n - 1) ) (n - 4) 18141324 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 9 n 4 10 9 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 24 n 2 n 13062852 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------- 9 n 4 10 6 n 3 11 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 5) 9 n 2 n 23 n 2 n 65318400 n ((n - 1) ) (n - 5) 51 n ((n - 1) ) (n - 5) - -------------------------------- - --------------------------- 6 n 3 11 6 n 3 11 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 2 n 12 n 2 n 396621357 n ((n - 1) ) (n - 5) 1001367180 n ((n - 1) ) (n - 5) + ---------------------------------- + ----------------------------------- 6 n 3 11 6 n 3 11 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 14 n 2 n 739723968 n ((n - 1) ) (n - 5) 587377203 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 6 n 3 11 6 n 3 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 10 n 2 n 278884848 n ((n - 1) ) (n - 5) 327395520 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 6 n 3 11 6 n 3 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 21 n 2 n 22 n 2 n 7332 n ((n - 1) ) (n - 5) 6303 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 6 n 3 11 6 n 3 11 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 20 n 2 n 18 n 2 n 1470189 n ((n - 1) ) (n - 5) 86407629 n ((n - 1) ) (n - 5) + -------------------------------- + --------------------------------- 6 n 3 11 6 n 3 11 16 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 17 n 2 n 19 n 2 n 53248767 n ((n - 1) ) (n - 5) 3283935 n ((n - 1) ) (n - 5) - --------------------------------- - -------------------------------- 6 n 3 11 6 n 3 11 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 13 n 2 n 22 n n 909408072 n ((n - 1) ) (n - 5) 3 n (n - 1) (n - 6) - ---------------------------------- - --------------------------- 6 n 3 11 3 n 2 12 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 6) 8 n n 11 n n 18680334480 n (n - 1) (n - 6) 13303790475 n (n - 1) (n - 6) - -------------------------------- + --------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n n 7 n n 12342319485 n (n - 1) (n - 6) 8627796000 n (n - 1) (n - 6) - --------------------------------- + ------------------------------- 3 n 2 12 3 n 2 12 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 21 n n 20 n n 123 n (n - 1) (n - 6) 1155 n (n - 1) (n - 6) + -------------------------- - -------------------------- 3 n 2 12 3 n 2 12 8 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 18 n n 19 n n 1636023 n (n - 1) (n - 6) 52725 n (n - 1) (n - 6) - ----------------------------- + --------------------------- 3 n 2 12 3 n 2 12 8 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 17 n n 15 n n 2285427 n (n - 1) (n - 6) 480591375 n (n - 1) (n - 6) + ----------------------------- + ------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 14 n n 16 n n 9310016199 n (n - 1) (n - 6) 38038275 n (n - 1) (n - 6) - -------------------------------- - ------------------------------ 3 n 2 12 3 n 2 12 16 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 10 n n 6 n n 21250061547 n (n - 1) (n - 6) 1796256000 n (n - 1) (n - 6) - --------------------------------- - ------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n n 9 n n 17327674749 n (n - 1) (n - 6) 24278919714 n (n - 1) (n - 6) + --------------------------------- + -------------------------------- 3 n 2 12 3 n 2 12 8 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 19 n n 17 n n 99 n (n - 1) (n - 5) 52749 n (n - 1) (n - 5) + -------------------------- + --------------------------- 3 n 2 11 3 n 2 11 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 15 n n 14 n n 5308677 n (n - 1) (n - 5) 65172921 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 3 n 2 11 3 n 2 11 8 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 16 n n 10 n n 1259193 n (n - 1) (n - 5) 278406717 n (n - 1) (n - 5) - ----------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 16 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 20 n n 32659200 n (n - 1) (n - 5) 3 n (n - 1) (n - 5) - ----------------------------- - --------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 13 n n 9 n n 147822147 n (n - 1) (n - 5) 352594638 n (n - 1) (n - 5) + ------------------------------- + ------------------------------ 3 n 2 11 3 n 2 11 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 296177904 n (n - 1) (n - 5) 154485243 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 7 n n 124399605 n (n - 1) (n - 5) 147368160 n (n - 1) (n - 5) - ------------------------------- + ------------------------------ 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 13 n n 5907 n (n - 1) (n - 5) 2478000503 n (n - 1) (n - 6) - --------------------------- + -------------------------------- 3 n 2 11 4 n 2 11 16 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 6) 9 n n 8 n n 10407614616 n (n - 1) (n - 6) 7539030720 n (n - 1) (n - 6) + -------------------------------- - ------------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 12 n n 6529502692 n (n - 1) (n - 6) 3263047598 n (n - 1) (n - 6) + -------------------------------- - -------------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 20 n n 3295728000 n (n - 1) (n - 6) 628 n (n - 1) (n - 6) + ------------------------------- - ------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n n 19 n n 365297 n (n - 1) (n - 6) 12977 n (n - 1) (n - 6) - ---------------------------- + --------------------------- 4 n 2 11 4 n 2 11 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n n 15 n n 1856114 n (n - 1) (n - 6) 81357331 n (n - 1) (n - 6) + ----------------------------- + ------------------------------ 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 16 n n 1445981669 n (n - 1) (n - 6) 14083304 n (n - 1) (n - 6) - -------------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 9724047684 n (n - 1) (n - 6) 653184000 n (n - 1) (n - 6) - -------------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n 4 16 n 4 15 n 4 n ((n - 1) ) 11 n ((n - 1) ) 24 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 13 n 4 13 n 4 13 n 4 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 11 n 52 n ((n - 1) ) 56 n ((n - 1) ) n (n - 4) + ------------------ - ------------------ + ------------- 13 n 4 13 n 4 n 7 (n - 1) (n ) (n - 1) (n ) 2 n (n - 4) 10 n 9 n 8 n 7 n 13 n (n - 4) 143 n (n - 4) 868 n (n - 4) 6349 n (n - 4) - --------------- + --------------- - --------------- + ---------------- n 7 n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 7147 n (n - 4) 9642 n (n - 4) 7092 n (n - 4) - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 3 n 5 n 8 n 2160 n (n - 4) 7407750240 n (n - 6) 3448276035 n (n - 6) + ---------------- - ---------------------- + ---------------------- n 7 n 12 n 12 n (n - 4) n (n - 6) n (n - 6) 9 n 4 n 18 n 5445767415 n (n - 6) 3864834000 n (n - 6) 3 n (n - 6) - ---------------------- + ---------------------- + --------------- n 12 n 12 n 12 4 n (n - 6) n (n - 6) 16 n (n - 6) 17 n 15 n 16 n 15 n (n - 6) 48345 n (n - 6) 1095 n (n - 6) - --------------- - ------------------ + ----------------- n 12 n 12 n 12 n (n - 6) 4 n (n - 6) 2 n (n - 6) 14 n 12 n 11 n 1442643 n (n - 6) 15169605 n (n - 6) 359234535 n (n - 6) + -------------------- + --------------------- - ---------------------- n 12 n 12 n 12 8 n (n - 6) n (n - 6) 4 n (n - 6) 13 n 7 n 3 n 7699065 n (n - 6) 6407238405 n (n - 6) 898128000 n (n - 6) - -------------------- - ---------------------- - --------------------- n 12 n 12 n 12 4 n (n - 6) n (n - 6) n (n - 6) 3 n 10 n 6 n 5443200 n (n - 5) 6436139919 n (n - 6) 8435584737 n (n - 6) - ------------------- + ----------------------- + ---------------------- n 11 n 12 n 12 n (n - 5) 16 n (n - 6) n (n - 6) 10 n 6 n 5 n 16073123 n (n - 5) 39544221 n (n - 5) 38443104 n (n - 5) + --------------------- + -------------------- - -------------------- n 11 n 11 n 11 16 n (n - 5) n (n - 5) n (n - 5) 8 n 9 n 4 n 12433036 n (n - 5) 16600463 n (n - 5) 21839760 n (n - 5) + -------------------- - -------------------- + -------------------- n 11 n 11 n 11 n (n - 5) 4 n (n - 5) n (n - 5) 15 n 16 n 14 n 4 n (n - 5) n (n - 5) 1841 n (n - 5) - -------------- + --------------- + ----------------- n 11 n 11 n 11 n (n - 5) 16 n (n - 5) 16 n (n - 5) 12 n 11 n 13 n 356763 n (n - 5) 353199 n (n - 5) 7871 n (n - 5) + ------------------- - ------------------- - ----------------- n 11 n 11 n 11 16 n (n - 5) 2 n (n - 5) 4 n (n - 5) 7 n 15 n 5 16 n 5 26629009 n (n - 5) 162 n ((n - 1) ) 621 n ((n - 1) ) - -------------------- - ------------------- + ------------------- n 11 19 n 5 19 n 5 n (n - 5) (n - 1) (n ) (n - 1) (n ) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 11 n ((n - 1) ) 107 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 19 n 5 19 n 5 19 n 5 16 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 151 n ((n - 1) ) 4361 n ((n - 1) ) 5221 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 19 n 5 19 n 5 19 n 5 2 (n - 1) (n ) 16 (n - 1) (n ) 8 (n - 1) (n ) 18 n 5 17 n 5 28 n 6 2073 n ((n - 1) ) 1053 n ((n - 1) ) 3 n ((n - 1) ) + -------------------- - -------------------- - ------------------ 19 n 5 19 n 5 22 n 6 2 (n - 1) (n ) (n - 1) (n ) 16 (n - 1) (n ) 27 n 6 26 n 6 25 n 6 9 n ((n - 1) ) 387 n ((n - 1) ) 1227 n ((n - 1) ) + ----------------- - ------------------- + -------------------- 22 n 6 22 n 6 22 n 6 2 (n - 1) (n ) 8 (n - 1) (n ) 4 (n - 1) (n ) 24 n 6 23 n 6 22 n 6 20331 n ((n - 1) ) 14373 n ((n - 1) ) 28101 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 22 n 6 22 n 6 22 n 6 16 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 21 n 6 20 n 6 19 n 6 9378 n ((n - 1) ) 8181 n ((n - 1) ) 4212 n ((n - 1) ) + -------------------- - -------------------- + -------------------- 22 n 6 22 n 6 22 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 18 n 6 10 n n 1296 n ((n - 1) ) 295157916 n (n - 1) (n - 5) + -------------------- + ------------------------------- 21 n 6 3 n 2 10 (n - 1) (n ) (n - 1) (n ) (n - 5) 9 n n 8 n n 389301444 n (n - 1) (n - 5) 338121216 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 172922688 n (n - 1) (n - 5) 39191040 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n n 16 n n 12681 n (n - 1) (n - 5) 47421 n (n - 1) (n - 5) - --------------------------- + --------------------------- 3 n 2 10 3 n 2 10 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n n 18 n n 1880739 n (n - 1) (n - 5) 126 n (n - 1) (n - 5) - ----------------------------- + ------------------------- 3 n 2 10 3 n 2 10 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 4 n 19 n 3 n 39 n ((n - 1) ) (n - 2) 183645 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 13 n 5 6 10 n 4 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 339786 n ((n - 1) ) (n - 3) 878058 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1584936 n ((n - 1) ) (n - 3) 1958328 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1576800 n ((n - 1) ) (n - 3) 743904 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 155520 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 144 n ((n - 1) ) (n - 3) 2043 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 21 n 2 n 16974 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 4) + ------------------------------ + -------------------------- 10 n 4 7 8 n 3 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 27 n ((n - 1) ) (n - 4) 1749 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 8427 n ((n - 1) ) (n - 4) 107661 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 120084 n ((n - 1) ) (n - 4) 1534779 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1769007 n ((n - 1) ) (n - 4) 1459404 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1679724 n ((n - 1) ) (n - 4) 1278828 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 577368 n ((n - 1) ) (n - 4) 116640 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 80952 n ((n - 1) ) (n - 2) 39888 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 5 6 13 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 72168 n ((n - 1) ) (n - 2) 95304 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 5 6 13 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 8640 n ((n - 1) ) (n - 2) 36753 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 5 6 13 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 447 n ((n - 1) ) (n - 2) 2976 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 13 n 5 6 13 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 25 n 4 n 25503 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + ------------------------------ + -------------------------- 13 n 5 6 13 n 5 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 7191 n ((n - 1) ) (n - 2) 58167 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 79605 n ((n - 1) ) (n - 2) 74628 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 94572 n ((n - 1) ) (n - 2) 77436 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 36936 n ((n - 1) ) (n - 2) 7776 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 450045 n ((n - 1) ) (n - 3) 547281 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 6 11 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 467712 n ((n - 1) ) (n - 3) 550296 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 424116 n ((n - 1) ) (n - 3) 192456 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 38880 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ------------------------------ - -------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 261 n ((n - 1) ) (n - 3) 846 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 11 n 4 6 11 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 12951 n ((n - 1) ) (n - 3) 130077 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 11 n 4 6 11 n 4 6 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ----------------------- + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 19911 n ((n - 1) ) (n - 4) 338949 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 7 n 3 9 7 n 3 9 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 505557 n ((n - 1) ) (n - 4) 8702151 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 13676031 n ((n - 1) ) (n - 4) 15699816 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 26003532 n ((n - 1) ) (n - 4) 30190716 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 23252184 n ((n - 1) ) (n - 4) 10634976 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 22 n 2 n 2177280 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 36 n ((n - 1) ) (n - 4) 3105 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 34735353 n (n - 1) (n - 5) 143809527 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 12 n n 11 n n 111008613 n (n - 1) (n - 5) 254252472 n (n - 1) (n - 5) - ------------------------------- + ------------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 424925064 n (n - 1) (n - 5) 502008516 n (n - 1) (n - 5) - ------------------------------- + ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 395762112 n (n - 1) (n - 5) 185986368 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n n 39191040 n (n - 1) (n - 5) 75909 n (n - 1) (n - 5) - ----------------------------- + --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n n 15 n n 816597 n (n - 1) (n - 5) 6228963 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 18 n n 16 n n 4731 n (n - 1) (n - 5) 943 n (n - 1) (n - 4) - -------------------------- - ------------------------- 4 n 2 10 4 n 2 9 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 2847 n (n - 1) (n - 4) 90207 n (n - 1) (n - 4) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 12 n n 246831 n (n - 1) (n - 4) 1913393 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 1322642 n (n - 1) (n - 4) 2587988 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 3491868 n (n - 1) (n - 4) 3079836 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1591056 n (n - 1) (n - 4) 362880 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 20 n n 177 n (n - 1) (n - 5) 3 n (n - 1) (n - 5) + -------------------------- - -------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 18 n n 17 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n 4 24 n ((n - 1) ) + ------------------ 13 n 4 (n - 1) (n ) and in Maple notation -3888*n^21*((n-1)^n)^7/(n-1)^25/(n^n)^7+1548207/4/(n^n)*n^11*(n-5)^n/(n-5)^10-\ 4974129/2/(n^n)*n^10*(n-5)^n/(n-5)^10+45175527/4/(n^n)*n^9*(n-5)^n/(n-5)^10-\ 72930699/2/(n^n)*n^8*(n-5)^n/(n-5)^10+82935801/(n^n)*n^7*(n-5)^n/(n-5)^10-\ 129286314/(n^n)*n^6*(n-5)^n/(n-5)^10+130728816/(n^n)*n^5*(n-5)^n/(n-5)^10-\ 76663584/(n^n)*n^4*(n-5)^n/(n-5)^10+19595520/(n^n)*n^3*(n-5)^n/(n-5)^10-243/2/( n^n)*n^14*(n-5)^n/(n-5)^10+11709/4/(n^n)*n^13*(n-5)^n/(n-5)^10-83133/2/(n^n)*n^ 12*(n-5)^n/(n-5)^10+9/4/(n^n)*n^15*(n-5)^n/(n-5)^10-9/4*n^21*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-2)^n/(n-2)^5+99/2*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2) ^5-477*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+5283/2*n^18*((n-1)^n)^ 3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-37035/4*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -2)^n/(n-2)^5+21285*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-32058*n^ 15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+30456*n^14*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-2)^n/(n-2)^5-16524*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^ 5+3888*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+9/4*n^19*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-243/4*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^6+89865/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-270315/4*n^14*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+138483*n^13*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-3)^n/(n-3)^6-190746*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+ 168804*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-86508*n^10*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+19440*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^6+1449/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-10053/2*n^16*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-135*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-3)^n/(n-3)^7+1773*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-13428*n^16 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+129933/2*n^15*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-3)^n/(n-3)^7-209853*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7 +458352*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-668232*n^12*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+621864*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3) ^n/(n-3)^7-333072*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+77760*n^9*(( n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+9/2*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3* (n-3)^n/(n-3)^7-9/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+171*n^16*(n-1) ^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-5751/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/ (n-4)^8+28242*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-359991/2*n^13*(n-1)^ n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+781515*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^8-4716297/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+4942368*n^10*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-7044840*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n /(n-4)^8+6494904*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-3477816*n^7*(n-1)^ n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+816480*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^8+387/4*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-3663/2*n^15*(n-1)^n/(n -1)^3/(n^n)^2*(n-4)^n/(n-4)^9+40257/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4 )^9-570321/4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+2731995/4*n^12*(n-1)^ n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-2256138*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/ (n-4)^9+5135364*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-7885800*n^9*(n-1)^ n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+7769412*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^9-4410288*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+1088640*n^6*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-9/4*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 9-972*n^18*((n-1)^n)^6/(n-1)^22/(n^n)^6+47655/2*n^18*((n-1)^n)^4/(n-1)^16/(n^n) ^5*(n-2)^n/(n-2)^4-17415*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+7533 *n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-1458*n^15*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-2)^n/(n-2)^4+3/16*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2) ^4-39/8*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+915/16*n^24*((n-1)^n) ^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-3195/8*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n -2)^n/(n-2)^4+29505/16*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-47265/ 8*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+214305/16*n^20*((n-1)^n)^4/ (n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-171765/8*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-\ 2)^n/(n-2)^4+3/4*n^26*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-81/4*n^25*(( n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+246*n^24*((n-1)^n)^4/(n-1)^15/(n^n)^ 5*(n-2)^n/(n-2)^5-3549/2*n^23*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+ 33771/4*n^22*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-111237/4*n^21*((n-1)^ n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+129357/2*n^20*((n-1)^n)^4/(n-1)^15/(n^n)^ 5*(n-2)^n/(n-2)^5-106152*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+ 120384*n^18*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-89748*n^17*((n-1)^n)^4 /(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+39528*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2) ^n/(n-2)^5-7776*n^15*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-814899/4*n^18 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+859089/2*n^17*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-3)^n/(n-3)^6-651144*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-\ 3)^6+691668*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-488268*n^14*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+205416*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^ 4*(n-3)^n/(n-3)^6-38880*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-10657 *n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+14070*n^15*((n-1)^n)^3/(n-1) ^12/(n^n)^4*(n-2)^n/(n-2)^5-11988*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-\ 2)^5+5940*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-1296*n^12*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-1/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2) ^n/(n-2)^5+25/4*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-139/2*n^20*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+905/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n )^4*(n-2)^n/(n-2)^5-7637/4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+ 21805/4*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-3/4*n^24*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+24*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/( n-3)^6-1389/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+6009/2*n^21*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-69261/4*n^20*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-3)^n/(n-3)^6+70023*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+ 1230507/8*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-474354*n^18*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+2109555/2*n^17*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-3)^n/(n-3)^7-1678284*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+ 1862946*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-1368576*n^14*((n-1)^n )^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+596808*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*( n-3)^n/(n-3)^7-116640*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-9/8*n^ 24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+315/8*n^23*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-3)^n/(n-3)^7-2475/4*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3) ^7+23103/4*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-285489/8*n^20*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+70167/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^7-269835/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+ 362637/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-170274*n^13*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+218880*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^7-183222*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+89748*n^10* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-19440*n^9*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^7+676917/8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-\ 3701889/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+14691393/8*n^16*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-42844401/8*n^15*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-4)^n/(n-4)^8+45905571/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^ 8-17843328*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+19555344*n^12*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-14293746*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-4)^n/(n-4)^8+6237324*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-\ 1224720*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-387/8*n^21*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+7515/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^8-87291/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+9/8*n^22*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+3/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -3)^n/(n-3)^7-99/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+363/2*n^18* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-6249/4*n^17*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^7-9/8*n^26*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8+ 5055723/8*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-22095171/8*n^20*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8+72227187/8*n^19*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-4)^n/(n-4)^8-22187493*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4 )^8+81592227/2*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-55242000*n^16* ((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8+53404434*n^15*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-4)^n/(n-4)^8-34824816*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-\ 4)^8+13699368*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-2449440*n^12*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-8289/8*n^24*((n-1)^n)^3/(n-1)^11/(n^ n)^4*(n-4)^n/(n-4)^8+102321/8*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8 -851499/8*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8+405/8*n^25*((n-1)^n )^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-165/8*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 5)^n/(n-5)^9+3/8*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9-63285/8*n^21* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9+4149/8*n^22*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^9+179344755/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5) ^9-108979215*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9+200306616*n^14*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9-273314790*n^13*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-5)^n/(n-5)^9+267844428*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^ 9-177824160*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9-3/2*n^11*(n-1)^n/( n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+18*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-\ 165/2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+180*n^8*(n-1)^n/(n-1)^3/(n^n) ^2*(n-2)^n/(n-2)^5-186*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+72*n^6*(n-1) ^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-91*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2 )^5+285*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-484*n^8*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^5+420*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-144*n^6*(n -1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+2025*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 4)^n/(n-4)^9-47583/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+731349/4* n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-3872637/4*n^16*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-4)^n/(n-4)^9+7244271/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n /(n-4)^9-9647640*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+18156528*n^13 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-23541012*n^12*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-4)^n/(n-4)^9+19949112*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4) ^9-9909216*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+2177280*n^9*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+9/4*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4) ^n/(n-4)^9-405/4*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+3261168*n^14* (n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-65072043/4*n^13*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-5)^n/(n-5)^10+59053113*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-\ 155866500*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+3/2*n^15*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-2)^n/(n-2)^5-21*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2) ^5+237/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-345*n^12*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+546*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n -2)^5-444*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+144*n^9*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-3/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 6+57/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-447/2*n^11*(n-1)^n/(n-1)^3/ (n^n)^2*(n-3)^n/(n-3)^6+1875/2*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-\ 2271*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+3174*n^8*(n-1)^n/(n-1)^3/(n^n) ^2*(n-3)^n/(n-3)^6-2364*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+720*n^6*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+75*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^9-3/2*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-11664123/2*n^13*(n-1)^n/ (n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+19416210*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/( n-5)^9-47271336*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+83062920*n^10*(n-1 )^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-102283848*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^9+83462400*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-40362624*n^7*(n -1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+8709120*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^9+22740*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-407277/2*n^15*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+1281735*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^9-3381/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+3/4*n^28*((n-1)^ n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6-51/2*n^27*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n -3)^n/(n-3)^6+1581/4*n^26*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6-3699*n^ 25*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6+93297/4*n^24*((n-1)^n)^4/(n-1)^ 15/(n^n)^5*(n-3)^n/(n-3)^6-209307/2*n^23*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/( n-3)^6+1375083/4*n^22*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6-1/4*n^26*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7+41/4*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^ 4*(n-4)^n/(n-4)^7-769/4*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7+8749/ 4*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7-67475/4*n^22*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-4)^n/(n-4)^7+373255/4*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4) ^n/(n-4)^7-1527475/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7-33993*n^ 18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+472959/2*n^17*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-4)^n/(n-4)^8-1141506*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4 )^8+7842357/2*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-9658665*n^14*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+16929576*n^13*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-4)^n/(n-4)^8-20584584*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+ 16467624*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-7772112*n^10*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+1632960*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 4)^n/(n-4)^8+9/2*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8-180*n^20*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^8+6435/2*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-4)^n/(n-4)^8-651/4*n^28*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6+5445/4 *n^27*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6+93/8*n^29*((n-1)^n)^5/(n-1)^ 17/(n^n)^6*(n-2)^n/(n-2)^6+3127923/4*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/ (n-3)^7-4006971/2*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7+3787839*n^ 20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7-5219514*n^19*((n-1)^n)^4/(n-1)^ 14/(n^n)^5*(n-3)^n/(n-3)^7+5094468*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n -3)^7-3333960*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7+1310256*n^16*(( n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7-233280*n^15*((n-1)^n)^4/(n-1)^14/(n^ n)^5*(n-3)^n/(n-3)^7+9/8*n^28*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7-333/ 8*n^27*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7+1395/2*n^26*((n-1)^n)^4/(n-\ 1)^14/(n^n)^5*(n-3)^n/(n-3)^7-28053/4*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n /(n-3)^7+377901/8*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7-1801485/8*n ^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^7-3/4*n^23*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-3)^n/(n-3)^8+27*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-855/ 2*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+3930*n^20*((n-1)^n)^3/(n-1)^ 9/(n^n)^4*(n-3)^n/(n-3)^8-93267/4*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3 )^8+93807*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-261339*n^17*((n-1)^n )^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+504540*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 3)^n/(n-3)^8-661860*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8+561936*n^ 14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-277776*n^13*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-3)^n/(n-3)^8+60480*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^8-\ 618*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+3216*n^11*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^6-10167*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+19974*n^ 9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-23772*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 3)^n/(n-3)^6+15624*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-4320*n^6*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-3*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6 +66*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-21/4*n^14*(n-1)^n/(n-1)^3/(n^n )^2*(n-3)^n/(n-3)^7+525/4*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-5523/4*n ^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+31899/4*n^11*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-3)^n/(n-3)^7-27636*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+23004*n^16 *((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5-3888*n^15*((n-1)^n)^4/(n-1)^16/(n ^n)^5*(n-3)^n/(n-3)^5-3/4*n^30*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5+87/ 4*n^29*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5-573/2*n^28*((n-1)^n)^5/(n-1 )^18/(n^n)^6*(n-2)^n/(n-2)^5+4533/2*n^27*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/( n-2)^5-47967/4*n^26*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5+178779/4*n^25* ((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5-120297*n^24*((n-1)^n)^5/(n-1)^18/( n^n)^6*(n-2)^n/(n-2)^5+235509*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5 -332688*n^22*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5+330516*n^21*((n-1)^n) ^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5-219024*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n -2)^n/(n-2)^5+86832*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5-15552*n^ 18*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^5-836994*n^21*((n-1)^n)^4/(n-1)^ 15/(n^n)^5*(n-3)^n/(n-3)^6+1510233*n^20*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n -3)^6-1993956*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6+1871604*n^18*(( n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6-1181952*n^17*((n-1)^n)^4/(n-1)^15/(n ^n)^5*(n-3)^n/(n-3)^6+449712*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6-\ 77760*n^15*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^6-3/16*n^30*((n-1)^n)^5/( n-1)^19/(n^n)^6*(n-2)^n/(n-2)^4+65070*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n /(n-2)^4-42363*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^4+16524*n^19*((n -1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^4-2916*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^ 6*(n-2)^n/(n-2)^4+21/4*n^29*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^4-1071/ 16*n^28*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^4+2055/4*n^27*((n-1)^n)^5/(n -1)^19/(n^n)^6*(n-2)^n/(n-2)^4-42285/16*n^26*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2) ^n/(n-2)^4+38385/4*n^25*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^4-403365/16* n^24*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^4+193035/4*n^23*((n-1)^n)^5/(n-\ 1)^19/(n^n)^6*(n-2)^n/(n-2)^4-267075/4*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^ n/(n-2)^4+469/16*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5-521/2*n^25*( (n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5+1/16*n^28*((n-1)^n)^4/(n-1)^16/(n^n )^5*(n-3)^n/(n-3)^5-2*n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5+25055/ 16*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5-13445/2*n^23*((n-1)^n)^4/( n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5+339175/16*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-\ 3)^n/(n-3)^5-49700*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5+346405/4*n ^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5-110715*n^19*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-3)^n/(n-3)^5+100881*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-\ 3)^5-61992*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^5+58800*n^9*(n-1)^n/ (n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-74928*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3) ^7+52164*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-15120*n^6*(n-1)^n/(n-1)^3/ (n^n)^2*(n-3)^n/(n-3)^7+3/4/(n^n)*n^13*(n-4)^n/(n-4)^9-123/4/(n^n)*n^12*(n-4)^n /(n-4)^9+549/(n^n)*n^11*(n-4)^n/(n-4)^9-11223/2/(n^n)*n^10*(n-4)^n/(n-4)^9+ 145215/4/(n^n)*n^9*(n-4)^n/(n-4)^9-620235/4/(n^n)*n^8*(n-4)^n/(n-4)^9+883857/2/ (n^n)*n^7*(n-4)^n/(n-4)^9-827931/(n^n)*n^6*(n-4)^n/(n-4)^9+972738/(n^n)*n^5*(n-\ 4)^n/(n-4)^9-644328/(n^n)*n^4*(n-4)^n/(n-4)^9+181440/(n^n)*n^3*(n-4)^n/(n-4)^9-\ 57139344*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9+23447232*n^13*((n-1) ^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9-4354560*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^ 4*(n-4)^n/(n-4)^9-3/4*n^26*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9+75/2*n^ 25*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9-3393/4*n^24*((n-1)^n)^3/(n-1)^ 10/(n^n)^4*(n-4)^n/(n-4)^9+11508*n^23*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4 )^9-213280233/4*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+365826753/2*n ^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10-476269698*n^15*((n-1)^n)^2/(n-\ 1)^7/(n^n)^3*(n-5)^n/(n-5)^10+933430008*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^ n/(n-5)^10-1351858644*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+ 1399779144*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10-977510592*n^11*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+411163776*n^10*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-5)^n/(n-5)^10-3*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+57*n ^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-465*n^18*((n-1)^n)^3/(n-1)^10/ (n^n)^4*(n-2)^n/(n-2)^5+2127*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-\ 5964*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+10488*n^15*((n-1)^n)^3/( n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-11280*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n /(n-2)^5+6768*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-1728*n^12*((n-1 )^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-4452*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-3)^n/(n-3)^6+16599*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-40308*n^ 13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+63720*n^12*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-3)^n/(n-3)^6-63168*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+ 35568*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-8640*n^9*((n-1)^n)^2/(n-\ 1)^7/(n^n)^3*(n-3)^n/(n-3)^6+3*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6 -72*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-5184*n^19*((n-1)^n)^6/(n-1 )^21/(n^n)^6-3/4*n^27*((n-1)^n)^6/(n-1)^21/(n^n)^6+63/4*n^26*((n-1)^n)^6/(n-1)^ 21/(n^n)^6-585/4*n^25*((n-1)^n)^6/(n-1)^21/(n^n)^6+3153/4*n^24*((n-1)^n)^6/(n-1 )^21/(n^n)^6-2718*n^23*((n-1)^n)^6/(n-1)^21/(n^n)^6+6219*n^22*((n-1)^n)^6/(n-1) ^21/(n^n)^6-9444*n^21*((n-1)^n)^6/(n-1)^21/(n^n)^6+9180*n^20*((n-1)^n)^6/(n-1)^ 21/(n^n)^6-49/8/(n^n)*n^19*(n-7)^n/(n-7)^13+1/16/(n^n)*n^20*(n-7)^n/(n-7)^13+ 18972286346/(n^n)*n^10*(n-7)^n/(n-7)^13+248188813128/(n^n)*n^6*(n-7)^n/(n-7)^13 -201274385760/(n^n)*n^5*(n-7)^n/(n-7)^13+124013916849/(n^n)*n^8*(n-7)^n/(n-7)^ 13-55500006835/(n^n)*n^9*(n-7)^n/(n-7)^13+98144784000/(n^n)*n^4*(n-7)^n/(n-7)^ 13+277/(n^n)*n^18*(n-7)^n/(n-7)^13-30695/4/(n^n)*n^17*(n-7)^n/(n-7)^13-2013641/ (n^n)*n^15*(n-7)^n/(n-7)^13+1166141/8/(n^n)*n^16*(n-7)^n/(n-7)^13+41866123/2/(n ^n)*n^14*(n-7)^n/(n-7)^13+16592137133/16/(n^n)*n^12*(n-7)^n/(n-7)^13-\ 40182189047/8/(n^n)*n^11*(n-7)^n/(n-7)^13-668592925/4/(n^n)*n^13*(n-7)^n/(n-7)^ 13-206856480222/(n^n)*n^7*(n-7)^n/(n-7)^13-21555072000/(n^n)*n^3*(n-7)^n/(n-7)^ 13-2802555/4/(n^n)*n^9*(n-5)^n/(n-5)^9+4956763/2/(n^n)*n^8*(n-5)^n/(n-5)^9-\ 6056505/(n^n)*n^7*(n-5)^n/(n-5)^9+9997078/(n^n)*n^6*(n-5)^n/(n-5)^9-10582320/(n ^n)*n^5*(n-5)^n/(n-5)^9+6437088/(n^n)*n^4*(n-5)^n/(n-5)^9-1693440/(n^n)*n^3*(n-\ 5)^n/(n-5)^9-315/4/(n^n)*n^13*(n-5)^n/(n-5)^9+1568/(n^n)*n^12*(n-5)^n/(n-5)^9-\ 36435/2/(n^n)*n^11*(n-5)^n/(n-5)^9+7/4/(n^n)*n^14*(n-5)^n/(n-5)^9-9/4*n^19*(n-1 )^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-78382080*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-5)^n/(n-5)^10+968415/4*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10-\ 7862157/4*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+47193279/4*n^18*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10-85371/4*n^21*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-5)^n/(n-5)^10+3/4*n^24*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+3*n^ 16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-51*n^15*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-2)^n/(n-2)^5+363*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-1401*n ^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+3162*n^12*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-2)^n/(n-2)^5-4164*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+ 2952*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-864*n^9*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-2)^n/(n-2)^5+7/4/(n^n)*n^10*(n-3)^n/(n-3)^7-161/4/(n^n)*n^9*(n-3) ^n/(n-3)^7+1519/4/(n^n)*n^8*(n-3)^n/(n-3)^7-7595/4/(n^n)*n^7*(n-3)^n/(n-3)^7+ 10829/2/(n^n)*n^6*(n-3)^n/(n-3)^7-8771/(n^n)*n^5*(n-3)^n/(n-3)^7+7434/(n^n)*n^4 *(n-3)^n/(n-3)^7-2520/(n^n)*n^3*(n-3)^n/(n-3)^7+3/8*n^32*((n-1)^n)^7/(n-1)^25/( n^n)^7-39/4*n^31*((n-1)^n)^7/(n-1)^25/(n^n)^7+459/4*n^30*((n-1)^n)^7/(n-1)^25/( n^n)^7-807*n^29*((n-1)^n)^7/(n-1)^25/(n^n)^7+30147/8*n^28*((n-1)^n)^7/(n-1)^25/ (n^n)^7-49077/4*n^27*((n-1)^n)^7/(n-1)^25/(n^n)^7+56847/2*n^26*((n-1)^n)^7/(n-1 )^25/(n^n)^7-46857*n^25*((n-1)^n)^7/(n-1)^25/(n^n)^7+53874*n^24*((n-1)^n)^7/(n-\ 1)^25/(n^n)^7-41148*n^23*((n-1)^n)^7/(n-1)^25/(n^n)^7+18792*n^22*((n-1)^n)^7/(n -1)^25/(n^n)^7+735/4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-5607/2*n^14*( n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+49077/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 4)^n/(n-4)^8-545517/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+2010519/4*n^ 11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-1243284*n^10*(n-1)^n/(n-1)^3/(n^n)^2 *(n-4)^n/(n-4)^8+2036244*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-2110248*n^ 8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+1246644*n^7*(n-1)^n/(n-1)^3/(n^n)^2*( n-4)^n/(n-4)^8-317520*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-21/4*n^16*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-1/4*n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/( n-6)^11+37/2*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+548331/4/(n^n)*n^10* (n-5)^n/(n-5)^9+n^22*((n-1)^n)^5/(n-1)^17/(n^n)^5-16*n^21*((n-1)^n)^5/(n-1)^17/ (n^n)^5+109*n^20*((n-1)^n)^5/(n-1)^17/(n^n)^5-410*n^19*((n-1)^n)^5/(n-1)^17/(n^ n)^5+920*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^5-1232*n^17*((n-1)^n)^5/(n-1)^17/(n^n) ^5+912*n^16*((n-1)^n)^5/(n-1)^17/(n^n)^5+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-5*(n-2)^ n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/(n^n)*n^4 +12*(n-2)^n/(n-2)^5/(n^n)*n^3+9/4*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-\ 2)^5-54*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+576*n^23*((n-1)^n)^4/ (n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+5619888*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4) ^n/(n-4)^10-1088640*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^10+7/2*n^25* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^10-1413/16*n^24*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-4)^n/(n-4)^10+3/2/(n^n)*n^9*(n-3)^n/(n-3)^6-51/2/(n^n)*n^8*(n-3)^n/(n -3)^6+345/2/(n^n)*n^7*(n-3)^n/(n-3)^6-1185/2/(n^n)*n^6*(n-3)^n/(n-3)^6+1086/(n^ n)*n^5*(n-3)^n/(n-3)^6-1002/(n^n)*n^4*(n-3)^n/(n-3)^6+360/(n^n)*n^3*(n-3)^n/(n-\ 3)^6-440302401/4/(n^n)*n^10*(n-6)^n/(n-6)^11-2833970508/(n^n)*n^6*(n-6)^n/(n-6) ^11+2568663360/(n^n)*n^5*(n-6)^n/(n-6)^11-1065530268/(n^n)*n^8*(n-6)^n/(n-6)^11 +398203377/(n^n)*n^9*(n-6)^n/(n-6)^11-1375704000/(n^n)*n^4*(n-6)^n/(n-6)^11+3/4 /(n^n)*n^17*(n-6)^n/(n-6)^11+6483/4/(n^n)*n^15*(n-6)^n/(n-6)^11-207/4/(n^n)*n^ 16*(n-6)^n/(n-6)^11-122067/4/(n^n)*n^14*(n-6)^n/(n-6)^11-13828221/4/(n^n)*n^12* (n-6)^n/(n-6)^11+90603249/4/(n^n)*n^11*(n-6)^n/(n-6)^11+1542549/4/(n^n)*n^13*(n -6)^n/(n-6)^11+2072271192/(n^n)*n^7*(n-6)^n/(n-6)^11+326592000/(n^n)*n^3*(n-6)^ n/(n-6)^11+21/4/(n^n)*n^12*(n-4)^n/(n-4)^8-693/4/(n^n)*n^11*(n-4)^n/(n-4)^8+ 2457/(n^n)*n^10*(n-4)^n/(n-4)^8-39249/2/(n^n)*n^9*(n-4)^n/(n-4)^8+388521/4/(n^n )*n^8*(n-4)^n/(n-4)^8-1233477/4/(n^n)*n^7*(n-4)^n/(n-4)^8+1253091/2/(n^n)*n^6*( n-4)^n/(n-4)^8-783153/(n^n)*n^5*(n-4)^n/(n-4)^8+543942/(n^n)*n^4*(n-4)^n/(n-4)^ 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n/(n-2)^6+70632*n^19*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6-247620*n^22*( (n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6+254118*n^21*((n-1)^n)^5/(n-1)^17/(n ^n)^6*(n-2)^n/(n-2)^6-12960*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6+ 338331/2*n^23*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6-60627/8*n^26*((n-1)^ n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6+236733/8*n^25*((n-1)^n)^5/(n-1)^17/(n^n)^ 6*(n-2)^n/(n-2)^6-166221/2*n^24*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^6-\ 288*n^15*((n-1)^n)^5/(n-1)^17/(n^n)^5+3/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^5-15*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+129*n^15*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-1245/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^5+7365/4*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-6825/2*n ^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+3861*n^11*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^5-2430*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+ 648*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-3/2*n^15*(n-1)^n/(n-1)^4/(n ^n)^2*(n-3)^n/(n-3)^7+42*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-507*n^13* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+3462*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3) ^n/(n-3)^7-29463/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+40488*n^10*(n-1 )^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-71808*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^7+79128*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-49032*n^7*(n-1)^n/(n-1 )^4/(n^n)^2*(n-3)^n/(n-3)^7+12960*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+ 5085/4*n^22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10-183/4*n^23*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+6573/4*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3) ^n/(n-3)^7-42945/4*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+87171/2*n^ 14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-114072*n^13*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-3)^n/(n-3)^7+192528*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7 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10+94656*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^10-7805759/16*n^20*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^10+7435333/4*n^19*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-4)^n/(n-4)^10-21053223/4*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4) ^10+11025565*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^10-16825493*n^16*(( n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^10+18141324*n^15*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-4)^n/(n-4)^10-13062852*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^ 10+3/16*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-65318400*n^9*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-51/4*n^23*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5 )^n/(n-5)^11+396621357/4*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11+ 1001367180*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-739723968*n^11*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11+587377203*n^14*((n-1)^n)^2/(n-1)^6/(n ^n)^3*(n-5)^n/(n-5)^11-278884848*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5) 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13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+352594638*n^9*(n-1)^n/(n-1)^3/(n^n) ^2*(n-5)^n/(n-5)^11-296177904*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+ 154485243*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-124399605/2*n^12*(n-1)^ n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+147368160*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^ n/(n-5)^11-5907/16*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+2478000503/2*n ^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+10407614616*n^9*(n-1)^n/(n-1)^4/(n ^n)^2*(n-6)^n/(n-6)^11-7539030720*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+ 6529502692*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11-3263047598*n^12*(n-1)^ n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+3295728000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6) ^n/(n-6)^11-628*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11-365297/2*n^18*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+12977*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^ n/(n-6)^11+1856114*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+81357331*n^15* 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^5+621*n^16*((n-1)^n)^5/(n-1)^19/(n^n)^5+1/16*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5 -11/8*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+107/8*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5 -151/2*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+4361/16*n^20*((n-1)^n)^5/(n-1)^19/(n^n )^5-5221/8*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+2073/2*n^18*((n-1)^n)^5/(n-1)^19/( n^n)^5-1053*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5-3/16*n^28*((n-1)^n)^6/(n-1)^22/(n ^n)^6+9/2*n^27*((n-1)^n)^6/(n-1)^22/(n^n)^6-387/8*n^26*((n-1)^n)^6/(n-1)^22/(n^ n)^6+1227/4*n^25*((n-1)^n)^6/(n-1)^22/(n^n)^6-20331/16*n^24*((n-1)^n)^6/(n-1)^ 22/(n^n)^6+14373/4*n^23*((n-1)^n)^6/(n-1)^22/(n^n)^6-28101/4*n^22*((n-1)^n)^6/( n-1)^22/(n^n)^6+9378*n^21*((n-1)^n)^6/(n-1)^22/(n^n)^6-8181*n^20*((n-1)^n)^6/(n -1)^22/(n^n)^6+4212*n^19*((n-1)^n)^6/(n-1)^22/(n^n)^6+1296*n^18*((n-1)^n)^6/(n-\ 1)^21/(n^n)^6+295157916*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-389301444 *n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+338121216*n^8*(n-1)^n/(n-1)^3/(n^ n)^2*(n-5)^n/(n-5)^10-172922688*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+ 39191040*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-12681/4*n^17*(n-1)^n/(n-1 )^3/(n^n)^2*(n-5)^n/(n-5)^10+47421*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 10-1880739/4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+126*n^18*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-5)^n/(n-5)^10-39*n^24*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2 )^6-183645/2*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+339786*n^18*((n-\ 1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-878058*n^17*((n-1)^n)^3/(n-1)^10/(n^n) ^4*(n-3)^n/(n-3)^7+1584936*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-\ 1958328*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+1576800*n^14*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-743904*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*( n-3)^n/(n-3)^7+155520*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-9/2*n^ 23*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+144*n^22*((n-1)^n)^3/(n-1)^10/( 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)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-547281/2*n^17*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-3)^n/(n-3)^6+467712*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-\ 550296*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+424116*n^14*((n-1)^n)^ 3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-192456*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 3)^n/(n-3)^6+38880*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-9/4*n^23*( (n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+261/4*n^22*((n-1)^n)^3/(n-1)^11/(n^ n)^4*(n-3)^n/(n-3)^6-846*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+ 12951/2*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-130077/4*n^19*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2 )^5+15*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-19911/2*n^19*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-4)^n/(n-4)^9+338949/4*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n /(n-4)^9-505557*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+8702151/4*n^16 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-13676031/2*n^15*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-4)^n/(n-4)^9+15699816*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-\ 4)^9-26003532*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+30190716*n^12*(( n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-23252184*n^11*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-4)^n/(n-4)^9+10634976*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-\ 2177280*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+3/4*n^22*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-4)^n/(n-4)^9-36*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4) ^9+3105/4*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-34735353/4*n^14*(n-1 )^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+143809527/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*( n-5)^n/(n-5)^10-111008613*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+ 254252472*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-424925064*n^10*(n-1)^n/ (n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+502008516*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/ (n-5)^10-395762112*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+185986368*n^7*( n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-39191040*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n -5)^n/(n-5)^10+75909/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-816597/4*n ^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+6228963/4*n^15*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^10-4731/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-943/ 4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+2847*n^15*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-4)^n/(n-4)^9-90207/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+246831/2 *n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-1913393/4*n^12*(n-1)^n/(n-1)^4/(n ^n)^2*(n-4)^n/(n-4)^9+1322642*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-\ 2587988*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+3491868*n^9*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^9-3079836*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+ 1591056*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-362880*n^6*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^9+177/4*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-3/4 *n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-1/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^9+23/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+24*n^12*((n-\ 1)^n)^4/(n-1)^13/(n^n)^4 The, 4, 1, mixed moment of, X[2], and , X[3], is 11 n n 10 n n 7 n (n - 1) (n - 2) 77 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 329 n (n - 1) (n - 2) 679 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 4 4 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 336 n (n - 1) (n - 2) 126 n (n - 1) (n - 2) - ------------------------ + ------------------------ 4 n 2 4 4 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 2 n (n - 1) (n - 2) 24 n (n - 1) (n - 2) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 110 n (n - 1) (n - 2) 240 n (n - 1) (n - 2) - ------------------------ + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n 3 248 n (n - 1) (n - 2) 96 n (n - 1) (n - 2) 48 n ((n - 1) ) - ------------------------ + ----------------------- + ----------------- 3 n 2 5 3 n 2 5 10 n 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 12 n n 11 n n 4616 n (n - 1) (n - 4) 19642 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 53984 n (n - 1) (n - 4) 95744 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 105504 n (n - 1) (n - 4) 65376 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 10 n n 17280 n (n - 1) (n - 4) 1401 n (n - 1) (n - 3) + -------------------------- + -------------------------- 3 n 2 7 4 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 9 n n 8 n n 3162 n (n - 1) (n - 3) 4164 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2952 n (n - 1) (n - 3) 864 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 237 n ((n - 1) ) (n - 2) 690 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1092 n ((n - 1) ) (n - 2) 888 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n n 288 n ((n - 1) ) (n - 2) 6 n (n - 1) (n - 3) + --------------------------- - ----------------------- 6 n 3 5 3 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n n 11 n n 114 n (n - 1) (n - 3) 894 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 3750 n (n - 1) (n - 3) 9084 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 12696 n (n - 1) (n - 3) 9456 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n 2 n 2880 n (n - 1) (n - 3) 6 n ((n - 1) ) (n - 2) + ------------------------- + -------------------------- 3 n 2 6 7 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 78 n ((n - 1) ) (n - 2) 414 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 4 7 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 1146 n ((n - 1) ) (n - 2) 1740 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 4 7 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1368 n ((n - 1) ) (n - 2) 432 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 7 n 3 4 7 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 3 n (n - 1) (n - 3) 51 n (n - 1) (n - 3) - ----------------------- + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 21 n 5 20 n 5 363 n (n - 1) (n - 3) 2 n ((n - 1) ) 26 n ((n - 1) ) - ------------------------- + ----------------- - ------------------ 4 n 2 5 16 n 5 16 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 1) (n ) 19 n 5 18 n 5 17 n 5 140 n ((n - 1) ) 400 n ((n - 1) ) 640 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 16 n 5 16 n 5 16 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 16 n 5 13 n 12 n 11 n 544 n ((n - 1) ) n (n - 5) 37 n (n - 5) 300 n (n - 5) - ------------------- + ------------- - --------------- + ---------------- 16 n 5 n 8 n 8 n 8 (n - 1) (n ) 2 n (n - 5) 2 n (n - 5) n (n - 5) 10 n 9 n 8 n 2805 n (n - 5) 33453 n (n - 5) 132741 n (n - 5) - ----------------- + ----------------- - ------------------ n 8 n 8 n 8 n (n - 5) 2 n (n - 5) 2 n (n - 5) 7 n 6 n 5 n 177145 n (n - 5) 313270 n (n - 5) 350148 n (n - 5) + ------------------ - ------------------ + ------------------ n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 6 n 2 222336 n (n - 5) 60480 n (n - 5) 6 n ((n - 1) ) - ------------------ + ----------------- + ---------------- n 8 n 8 7 n 2 n (n - 5) n (n - 5) (n - 1) (n ) 9 n 2 8 n 2 7 n 2 n 7 n ((n - 1) ) 7 n ((n - 1) ) 8 n ((n - 1) ) (n - 2) n - ---------------- + ---------------- - ---------------- + ------------- 7 n 2 7 n 2 7 n 2 5 n 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 2 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 12 (n - 2) n - ------------- + -------------- - -------------- + -------------- 5 n 5 n 5 n 5 n (n - 2) n 2 (n - 2) n (n - 2) n (n - 2) n 15 n 3 n 14 n 3 n 2016 n ((n - 1) ) (n - 2) 2424 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1584 n ((n - 1) ) (n - 2) 432 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 3 n ((n - 1) ) (n - 2) 45 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 285 n ((n - 1) ) (n - 2) 987 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 4 4 10 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 2 n ((n - 1) ) (n - 3) 38 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 310 n ((n - 1) ) (n - 3) 1418 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 3976 n ((n - 1) ) (n - 3) 6992 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 7520 n ((n - 1) ) (n - 3) 4512 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 32 n ((n - 1) ) (n - 2) 214 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 776 n ((n - 1) ) (n - 2) 1648 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 2048 n ((n - 1) ) (n - 2) 1376 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 384 n ((n - 1) ) (n - 2) 561 n ((n - 1) ) (n - 3) + ---------------------------- + ---------------------------- 9 n 4 5 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 2769 n ((n - 1) ) (n - 3) 8292 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 15432 n ((n - 1) ) (n - 3) 17424 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 10896 n ((n - 1) ) (n - 3) 2880 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 2 n (n - 1) (n - 4) 56 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 13 n 3 12 n 3 676 n (n - 1) (n - 4) 2 n ((n - 1) ) 18 n ((n - 1) ) - ------------------------- + ----------------- - ------------------ 3 n 2 7 10 n 3 10 n 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 1) (n ) 11 n 3 10 n 3 9 n 60 n ((n - 1) ) 88 n ((n - 1) ) 7 n (n - 3) + ------------------ - ------------------ + ------------- 10 n 3 10 n 3 n 6 (n - 1) (n ) (n - 1) (n ) 2 n (n - 3) 8 n 7 n 6 n 5 n 119 n (n - 3) 805 n (n - 3) 2765 n (n - 3) 2534 n (n - 3) - --------------- + --------------- - ---------------- + ---------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) n (n - 3) 4 n 3 n 15 n 5 2338 n (n - 3) 840 n (n - 3) 192 n ((n - 1) ) - ---------------- + --------------- + ------------------- n 6 n 6 16 n 5 n (n - 3) n (n - 3) (n - 1) (n ) 17 n 4 16 n 4 15 n 4 3 n ((n - 1) ) 33 n ((n - 1) ) 144 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 13 n 4 13 n 4 13 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 11 n 312 n ((n - 1) ) 336 n ((n - 1) ) 3 n (n - 4) + ------------------- - ------------------- + -------------- 13 n 4 13 n 4 n 7 (n - 1) (n ) (n - 1) (n ) n (n - 4) 10 n 9 n 8 n 7 n 78 n (n - 4) 858 n (n - 4) 5208 n (n - 4) 19047 n (n - 4) - --------------- + --------------- - ---------------- + ----------------- n 7 n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 42882 n (n - 4) 57852 n (n - 4) 42552 n (n - 4) - ----------------- + ----------------- - ----------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 3 n 9 n 2 n 12960 n (n - 4) 1152 n ((n - 1) ) (n - 3) + ----------------- + ---------------------------- n 7 7 n 3 5 n (n - 4) (n - 1) (n ) (n - 3) 13 n n 12 n n 136 n (n - 1) (n - 4) 845 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 6605 n (n - 1) (n - 4) 16825 n (n - 1) (n - 4) - -------------------------- + --------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 9 n n 8 n n 13949 n (n - 1) (n - 4) 14490 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 8532 n (n - 1) (n - 4) 2160 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n n 14 n n n (n - 1) (n - 4) 25 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 3 n 12 n 4 2 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) - -------------------------- + ------------------- 9 n 4 5 13 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) and in Maple notation -7/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+77/2*n^10*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^4-329/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4+679/2*n^ 8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-336*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2) ^n/(n-2)^4+126*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^4-2*n^11*(n-1)^n/(n-1) ^3/(n^n)^2*(n-2)^n/(n-2)^5+24*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-110* n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+240*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 2)^n/(n-2)^5-248*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+96*n^6*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-2)^n/(n-2)^5+48*n^9*((n-1)^n)^3/(n-1)^10/(n^n)^3+4616*n^12*(n-1 )^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-19642*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/ (n-4)^7+53984*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-95744*n^9*(n-1)^n/(n -1)^3/(n^n)^2*(n-4)^n/(n-4)^7+105504*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 7-65376*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+17280*n^6*(n-1)^n/(n-1)^3/( n^n)^2*(n-4)^n/(n-4)^7+1401*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5-3162*n ^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5+4164*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 3)^n/(n-3)^5-2952*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5+864*n^6*(n-1)^n/( n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5+3*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2) ^5-42*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+237*n^13*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-2)^n/(n-2)^5-690*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2) ^5+1092*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-888*n^10*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+288*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2 )^5-6*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+114*n^12*(n-1)^n/(n-1)^3/(n^ n)^2*(n-3)^n/(n-3)^6-894*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+3750*n^10 *(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-9084*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^6+12696*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-9456*n^7*(n-1)^n/( n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+2880*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6 +6*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4-78*n^14*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-2)^n/(n-2)^4+414*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4-\ 1146*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4+1740*n^11*((n-1)^n)^2/(n-\ 1)^7/(n^n)^3*(n-2)^n/(n-2)^4-1368*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2 )^4+432*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^4-3*n^13*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^5+51*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5-363*n^ 11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^5+2*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^5-\ 26*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^5+140*n^19*((n-1)^n)^5/(n-1)^16/(n^n)^5-400* n^18*((n-1)^n)^5/(n-1)^16/(n^n)^5+640*n^17*((n-1)^n)^5/(n-1)^16/(n^n)^5-544*n^ 16*((n-1)^n)^5/(n-1)^16/(n^n)^5+1/2/(n^n)*n^13*(n-5)^n/(n-5)^8-37/2/(n^n)*n^12* (n-5)^n/(n-5)^8+300/(n^n)*n^11*(n-5)^n/(n-5)^8-2805/(n^n)*n^10*(n-5)^n/(n-5)^8+ 33453/2/(n^n)*n^9*(n-5)^n/(n-5)^8-132741/2/(n^n)*n^8*(n-5)^n/(n-5)^8+177145/(n^ n)*n^7*(n-5)^n/(n-5)^8-313270/(n^n)*n^6*(n-5)^n/(n-5)^8+350148/(n^n)*n^5*(n-5)^ n/(n-5)^8-222336/(n^n)*n^4*(n-5)^n/(n-5)^8+60480/(n^n)*n^3*(n-5)^n/(n-5)^8+6*n^ 6*((n-1)^n)^2/(n-1)^7/(n^n)^2-1/2*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^2+7/2*n^8*((n-1 )^n)^2/(n-1)^7/(n^n)^2-8*n^7*((n-1)^n)^2/(n-1)^7/(n^n)^2+1/2*(n-2)^n/(n-2)^5/(n ^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/( n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3-2016*n^15*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-2)^n/(n-2)^4+2424*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-\ 1584*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4+432*n^12*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-2)^n/(n-2)^4-3*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2) ^4+45*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^4-285*n^17*((n-1)^n)^3/(n -1)^10/(n^n)^4*(n-2)^n/(n-2)^4+987*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n -2)^4+2*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-38*n^16*((n-1)^n)^2/(n -1)^7/(n^n)^3*(n-3)^n/(n-3)^5+310*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3 )^5-1418*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+3976*n^13*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-6992*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/ (n-3)^5+7520*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-4512*n^10*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5+32*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^ n/(n-2)^5-214*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+776*n^16*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-1648*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2 )^n/(n-2)^5+2048*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-1376*n^13*((n -1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+384*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*( n-2)^n/(n-2)^5+561*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-2769*n^14*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+8292*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-3)^n/(n-3)^6-15432*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+17424* n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-10896*n^10*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-3)^n/(n-3)^6+2880*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+3 *n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-63*n^16*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^6-2*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+56*n^14*( n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-676*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n /(n-4)^7+2*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^3-18*n^12*((n-1)^n)^3/(n-1)^10/(n^n) ^3+60*n^11*((n-1)^n)^3/(n-1)^10/(n^n)^3-88*n^10*((n-1)^n)^3/(n-1)^10/(n^n)^3+7/ 2/(n^n)*n^9*(n-3)^n/(n-3)^6-119/2/(n^n)*n^8*(n-3)^n/(n-3)^6+805/2/(n^n)*n^7*(n-\ 3)^n/(n-3)^6-2765/2/(n^n)*n^6*(n-3)^n/(n-3)^6+2534/(n^n)*n^5*(n-3)^n/(n-3)^6-\ 2338/(n^n)*n^4*(n-3)^n/(n-3)^6+840/(n^n)*n^3*(n-3)^n/(n-3)^6+192*n^15*((n-1)^n) ^5/(n-1)^16/(n^n)^5-3*n^17*((n-1)^n)^4/(n-1)^13/(n^n)^4+33*n^16*((n-1)^n)^4/(n-\ 1)^13/(n^n)^4-144*n^15*((n-1)^n)^4/(n-1)^13/(n^n)^4+312*n^14*((n-1)^n)^4/(n-1)^ 13/(n^n)^4-336*n^13*((n-1)^n)^4/(n-1)^13/(n^n)^4+3/(n^n)*n^11*(n-4)^n/(n-4)^7-\ 78/(n^n)*n^10*(n-4)^n/(n-4)^7+858/(n^n)*n^9*(n-4)^n/(n-4)^7-5208/(n^n)*n^8*(n-4 )^n/(n-4)^7+19047/(n^n)*n^7*(n-4)^n/(n-4)^7-42882/(n^n)*n^6*(n-4)^n/(n-4)^7+ 57852/(n^n)*n^5*(n-4)^n/(n-4)^7-42552/(n^n)*n^4*(n-4)^n/(n-4)^7+12960/(n^n)*n^3 *(n-4)^n/(n-4)^7+1152*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^5-136*n^13* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+845*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^6-6605/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+16825/2*n^10*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-13949*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^6+14490*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-8532*n^7*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^6+2160*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6-1/2 *n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^6+25/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^6-2*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+144*n^12*(( n-1)^n)^4/(n-1)^13/(n^n)^4 The, 4, 2, mixed moment of, X[2], and , X[3], is 18 n 6 10 n 6 n 720 n ((n - 1) ) 10546313 n (n - 6) 86351154 n (n - 6) - ------------------- + --------------------- + -------------------- 20 n 6 n 10 n 10 (n - 1) (n ) 4 n (n - 6) n (n - 6) 5 n 8 n 9 n 81145296 n (n - 6) 58947233 n (n - 6) 41304337 n (n - 6) - -------------------- + -------------------- - -------------------- n 10 n 10 n 10 n (n - 6) 2 n (n - 6) 4 n (n - 6) 4 n 15 n 16 n 44768160 n (n - 6) 59 n (n - 6) n (n - 6) + -------------------- - --------------- + -------------- n 10 n 10 n 10 n (n - 6) 4 n (n - 6) 4 n (n - 6) 14 n 12 n 11 n 1571 n (n - 6) 264393 n (n - 6) 1965477 n (n - 6) + ----------------- + ------------------- - -------------------- n 10 n 10 n 10 4 n (n - 6) 4 n (n - 6) 4 n (n - 6) 13 n 7 n 3 n 24979 n (n - 6) 60440591 n (n - 6) 10886400 n (n - 6) - ------------------ - -------------------- - -------------------- n 10 n 10 n 10 4 n (n - 6) n (n - 6) n (n - 6) 23 n 6 22 n 6 21 n 6 785 n ((n - 1) ) 2175 n ((n - 1) ) 3840 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 20 n 6 20 n 6 20 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 20 n 6 19 n 6 26 n 6 4220 n ((n - 1) ) 2640 n ((n - 1) ) 5 n ((n - 1) ) - -------------------- + -------------------- - ----------------- 20 n 6 20 n 6 20 n 6 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) 25 n 6 24 n 6 18 n 3 n 45 n ((n - 1) ) 705 n ((n - 1) ) 6463 n ((n - 1) ) (n - 3) + ------------------ - ------------------- - ----------------------------- 20 n 6 20 n 6 11 n 4 5 2 (n - 1) (n ) 4 (n - 1) (n ) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 17690 n ((n - 1) ) (n - 3) 33168 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 42032 n ((n - 1) ) (n - 3) 34416 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 16416 n ((n - 1) ) (n - 3) 3456 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 16687 n ((n - 1) ) (n - 4) 29995 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 151653 n ((n - 1) ) (n - 4) 67355 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 82338 n ((n - 1) ) (n - 4) 65880 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 30996 n ((n - 1) ) (n - 4) 6480 n ((n - 1) ) (n - 4) + ------------------------------ - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 403 n ((n - 1) ) (n - 4) 800 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 4) 15 n ((n - 1) ) (n - 4) + ------------------------- - --------------------------- 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 2 n (n - 1) (n - 2) 24 n (n - 1) (n - 2) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 110 n (n - 1) (n - 2) 240 n (n - 1) (n - 2) - ------------------------ + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 248 n (n - 1) (n - 2) 96 n (n - 1) (n - 2) - ------------------------ + ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 2 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 386 n ((n - 1) ) (n - 2) 2038 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 6812 n ((n - 1) ) (n - 2) 14944 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 21504 n ((n - 1) ) (n - 2) 19552 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 10176 n ((n - 1) ) (n - 2) 2304 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 25503 n ((n - 1) ) (n - 3) 73506 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 144336 n ((n - 1) ) (n - 3) 190608 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 161904 n ((n - 1) ) (n - 3) 79776 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 22 n 3 n 17280 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ------------------------------ - -------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 78 n ((n - 1) ) (n - 3) 894 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 20 n 2 n 5952 n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 4) + ----------------------------- + -------------------------- 10 n 4 6 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 66 n ((n - 1) ) (n - 4) 968 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 8332 n ((n - 1) ) (n - 4) 46778 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 179890 n ((n - 1) ) (n - 4) 483516 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 908128 n ((n - 1) ) (n - 4) 1167360 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 977184 n ((n - 1) ) (n - 4) 478656 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 103680 n ((n - 1) ) (n - 4) 791 n (n - 1) (n - 5) - ------------------------------ - ------------------------- 7 n 3 7 4 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 5) 15 n n 14 n n 4416 n (n - 1) (n - 5) 65103 n (n - 1) (n - 5) + -------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 13 n n 12 n n 166833 n (n - 1) (n - 5) 1218713 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 11 n n 10 n n 1597218 n (n - 1) (n - 5) 2979368 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 3852696 n (n - 1) (n - 5) 3273048 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 1636416 n (n - 1) (n - 5) 362880 n (n - 1) (n - 5) + ---------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 17 n n n (n - 1) (n - 5) 21 n (n - 1) (n - 5) - ------------------------- + ------------------------ 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 4 n 18 n 4 n 3812 n ((n - 1) ) (n - 2) 12900 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 5 6 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 11448 n ((n - 1) ) (n - 2) 5832 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 24 n 4 n 1296 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 30 n ((n - 1) ) (n - 2) 264 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 1341 n ((n - 1) ) (n - 2) 8661 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 5 4 14 n 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 4 n 22 n 3 n 9213 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ----------------------------- - ------------------------ 14 n 5 4 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 24 n ((n - 1) ) (n - 3) 256 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 10 n n 1598 n ((n - 1) ) (n - 3) 91 n (n - 1) (n - 2) + ----------------------------- - ------------------------- 11 n 4 5 4 n 2 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 285 n (n - 1) (n - 2) 242 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 5 4 n 2 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 210 n (n - 1) (n - 2) 72 n (n - 1) (n - 2) + ------------------------ - ----------------------- 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 4616 n (n - 1) (n - 4) 19642 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 53984 n (n - 1) (n - 4) 95744 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 105504 n (n - 1) (n - 4) 65376 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 12 n 4 14 n 3 17280 n (n - 1) (n - 4) 144 n ((n - 1) ) n ((n - 1) ) + -------------------------- - ------------------- + ----------------- 3 n 2 7 14 n 4 11 n 3 (n - 1) (n ) (n - 4) (n - 1) (n ) 4 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 3 n ((n - 1) ) 57 n ((n - 1) ) 67 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 11 n 3 11 n 3 11 n 3 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 15 n 2 n 39 n ((n - 1) ) 3 n ((n - 1) ) (n - 2) + ------------------ + -------------------------- 11 n 3 6 n 3 5 (n - 1) (n ) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 42 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 690 n ((n - 1) ) (n - 2) 1092 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 888 n ((n - 1) ) (n - 2) 288 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 6 n (n - 1) (n - 3) 114 n (n - 1) (n - 3) - ----------------------- + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 894 n (n - 1) (n - 3) 3750 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 9084 n (n - 1) (n - 3) 12696 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 9456 n (n - 1) (n - 3) 2880 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 5 20 n 5 19 n 5 n ((n - 1) ) 13 n ((n - 1) ) 35 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 16 n 5 16 n 5 16 n 5 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 18 n 5 17 n 5 16 n 5 100 n ((n - 1) ) 160 n ((n - 1) ) 136 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 16 n 5 16 n 5 16 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 12 n 11 n 10 n n (n - 5) 37 n (n - 5) 300 n (n - 5) 2805 n (n - 5) + ------------- - --------------- + ---------------- - ----------------- n 8 n 8 n 8 n 8 2 n (n - 5) 2 n (n - 5) n (n - 5) n (n - 5) 9 n 8 n 7 n 33453 n (n - 5) 132741 n (n - 5) 177145 n (n - 5) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 2 n (n - 5) 2 n (n - 5) n (n - 5) 6 n 5 n 4 n 313270 n (n - 5) 350148 n (n - 5) 222336 n (n - 5) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 3 n 12 n 2 n 60480 n (n - 5) 6041 n ((n - 1) ) (n - 2) + ----------------- + ----------------------------- n 8 8 n 3 4 n (n - 5) 4 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 3843 n ((n - 1) ) (n - 2) 1323 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 14 n 2 n 378 n ((n - 1) ) (n - 2) 189 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 16 n 2 n 1393 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 8 n 3 4 8 n 3 4 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 12 n n 28 n ((n - 1) ) (n - 2) 721 n (n - 1) (n - 3) - --------------------------- - ------------------------- 8 n 3 4 4 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 11 n n 10 n n 3752 n (n - 1) (n - 3) 23723 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n n 8 n n 23303 n (n - 1) (n - 3) 27734 n (n - 1) (n - 3) + -------------------------- - -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 18228 n (n - 1) (n - 3) 5040 n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 7 n (n - 1) (n - 3) 77 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 3) 25 n (n - 1) (n - 3) - ----------------------- + ------------------------ 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 263 n (n - 1) (n - 3) 1519 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 5264 n (n - 1) (n - 3) 11200 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 14272 n (n - 1) (n - 3) 9936 n (n - 1) (n - 3) - -------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n 3 n 2880 n (n - 1) (n - 3) 8472 n ((n - 1) ) (n - 2) - ------------------------- + ----------------------------- 3 n 2 7 11 n 4 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 8856 n ((n - 1) ) (n - 2) 5184 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 20 n 3 n 1296 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ----------------------------- - -------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 54 n ((n - 1) ) (n - 2) 420 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 1842 n ((n - 1) ) (n - 2) 4977 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 3 n ((n - 1) ) (n - 3) 33 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 318 n ((n - 1) ) (n - 3) 1761 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 12345 n ((n - 1) ) (n - 3) 14190 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 21372 n ((n - 1) ) (n - 3) 20304 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 11016 n ((n - 1) ) (n - 3) 2592 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 3 n ((n - 1) ) (n - 2) 57 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 465 n ((n - 1) ) (n - 2) 2127 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 5964 n ((n - 1) ) (n - 2) 10488 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 11280 n ((n - 1) ) (n - 2) 6768 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 1728 n ((n - 1) ) (n - 2) 8904 n ((n - 1) ) (n - 3) - ----------------------------- - ----------------------------- 10 n 4 5 7 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 33198 n ((n - 1) ) (n - 3) 80616 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 127440 n ((n - 1) ) (n - 3) 126336 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 71136 n ((n - 1) ) (n - 3) 17280 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 6 n ((n - 1) ) (n - 3) 144 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 8 n 7 n 1201095 n (n - 5) 2124327 n (n - 5) 5191290 n (n - 5) - ------------------- + ------------------- - ------------------- n 9 n 9 n 9 2 n (n - 5) n (n - 5) n (n - 5) 6 n 5 n 4 n 8568924 n (n - 5) 9070560 n (n - 5) 5517504 n (n - 5) + ------------------- - ------------------- + ------------------- n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 3 n 13 n 12 n 1451520 n (n - 5) 135 n (n - 5) 1344 n (n - 5) - ------------------- - ---------------- + ----------------- n 9 n 9 n 9 n (n - 5) 2 n (n - 5) n (n - 5) 11 n 14 n 18 n n 15615 n (n - 5) 3 n (n - 5) n (n - 1) (n - 5) - ------------------ + -------------- - ----------------------- n 9 n 9 3 n 2 9 n (n - 5) 2 n (n - 5) (n - 1) (n ) (n - 5) 13 n n 12 n n 557031 n (n - 1) (n - 5) 2216948 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 6293296 n (n - 1) (n - 5) 12634336 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 17472272 n (n - 1) (n - 5) 15772416 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 8324352 n (n - 1) (n - 5) 1935360 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n n 15 n n 986 n (n - 1) (n - 5) 12202 n (n - 1) (n - 5) - ------------------------- + --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 17 n n 99153 n (n - 1) (n - 5) 47 n (n - 1) (n - 5) - --------------------------- + ------------------------ 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 2 n ((n - 1) ) (n - 2) 34 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 242 n ((n - 1) ) (n - 2) 934 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 2108 n ((n - 1) ) (n - 2) 2776 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1968 n ((n - 1) ) (n - 2) 576 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 9 n 8 n 7 n n (n - 3) 23 n (n - 3) 217 n (n - 3) 1085 n (n - 3) + ------------- - -------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 3 n 1547 n (n - 3) 1253 n (n - 3) 1062 n (n - 3) 360 n (n - 3) + ---------------- - ---------------- + ---------------- - --------------- n 7 n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 15 n n 14 n n 105 n (n - 1) (n - 4) 1602 n (n - 1) (n - 4) + ------------------------- - -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 14022 n (n - 1) (n - 4) 77931 n (n - 1) (n - 4) + --------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 287217 n (n - 1) (n - 4) 710448 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 1163568 n (n - 1) (n - 4) 1205856 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 712368 n (n - 1) (n - 4) 181440 n (n - 1) (n - 4) + --------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 10 n 22 n 5 3 n (n - 1) (n - 4) 234999 n (n - 5) 3 n ((n - 1) ) - ----------------------- + ------------------- + ----------------- 3 n 2 8 n 9 17 n 5 (n - 1) (n ) (n - 4) 2 n (n - 5) 2 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 24 n ((n - 1) ) 327 n ((n - 1) ) 615 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 18 n 5 17 n 5 16 n 5 1380 n ((n - 1) ) 1848 n ((n - 1) ) 1368 n ((n - 1) ) + -------------------- - -------------------- + -------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n n 3 18 n 3 n 12 (n - 2) n 32 n ((n - 1) ) (n - 2) + -------------- + --------------------------- 5 n 9 n 4 5 (n - 2) n (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 214 n ((n - 1) ) (n - 2) 776 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 1648 n ((n - 1) ) (n - 2) 2048 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1376 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 561 n ((n - 1) ) (n - 3) 2769 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 8292 n ((n - 1) ) (n - 3) 15432 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 17424 n ((n - 1) ) (n - 3) 10896 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 2880 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ---------------------------- + -------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n n 63 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) - --------------------------- - ----------------------- 6 n 3 6 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 14 n n 13 n n 56 n (n - 1) (n - 4) 676 n (n - 1) (n - 4) + ------------------------ - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 19 n 4 n 2056 n ((n - 1) ) (n - 2) 2668 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 15 n 4 n 4024 n ((n - 1) ) (n - 2) 480 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 23 n 4 n 2305 n ((n - 1) ) (n - 2) 23 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 12 n 5 6 12 n 5 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 229 n ((n - 1) ) (n - 2) 1297 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 24 n 4 n 19 n 3 n n ((n - 1) ) (n - 2) 2671 n ((n - 1) ) (n - 3) + -------------------------- + ----------------------------- 12 n 5 6 9 n 4 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 12392 n ((n - 1) ) (n - 3) 38332 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 80128 n ((n - 1) ) (n - 3) 111824 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 99712 n ((n - 1) ) (n - 3) 51264 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 22 n 3 n 11520 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ - ------------------------ 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 29 n ((n - 1) ) (n - 3) 367 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 8 n 7 n 6 n 7 n (n - 3) 119 n (n - 3) 805 n (n - 3) 2765 n (n - 3) + ------------- - --------------- + --------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 18 n 4 2534 n (n - 3) 2338 n (n - 3) 840 n (n - 3) n ((n - 1) ) + ---------------- - ---------------- + --------------- - --------------- n 6 n 6 n 6 14 n 4 n (n - 3) n (n - 3) n (n - 3) (n - 1) (n ) 17 n 4 16 n 4 15 n 4 14 n ((n - 1) ) 81 n ((n - 1) ) 248 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 14 n 4 14 n 4 14 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 12 n 424 n ((n - 1) ) 384 n ((n - 1) ) 7 n (n - 4) - ------------------- + ------------------- + -------------- 14 n 4 14 n 4 n 8 (n - 1) (n ) (n - 1) (n ) 4 n (n - 4) 11 n 10 n 9 n 231 n (n - 4) 819 n (n - 4) 13083 n (n - 4) - ---------------- + ---------------- - ----------------- n 8 n 8 n 8 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 129507 n (n - 4) 411159 n (n - 4) 417697 n (n - 4) + ------------------ - ------------------ + ------------------ n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 261051 n (n - 4) 181314 n (n - 4) 52920 n (n - 4) - ------------------ + ------------------ - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 9 n 3 15 n 5 15 n 5 18 n ((n - 1) ) 432 n ((n - 1) ) 48 n ((n - 1) ) - ----------------- - ------------------- + ------------------ 11 n 3 17 n 5 16 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 16 n 2 n 15 n 2 n 939 n ((n - 1) ) (n - 3) 6135 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 7 6 n 3 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 12453 n ((n - 1) ) (n - 3) 32592 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 55008 n ((n - 1) ) (n - 3) 57720 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 34128 n ((n - 1) ) (n - 3) 8640 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 3 n ((n - 1) ) (n - 3) 81 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 7 6 n 3 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 16 n n 1500 n ((n - 1) ) (n - 3) 3 n (n - 1) (n - 4) + ----------------------------- - ----------------------- 7 n 3 6 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 15 n n 14 n n 93 n (n - 1) (n - 4) 1266 n (n - 1) (n - 4) + ------------------------ - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 9966 n (n - 1) (n - 4) 50235 n (n - 1) (n - 4) + -------------------------- - --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 169365 n (n - 1) (n - 4) 386544 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 589104 n (n - 1) (n - 4) 572832 n (n - 1) (n - 4) + --------------------------- - --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 320112 n (n - 1) (n - 4) 77760 n (n - 1) (n - 4) + --------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 906 n ((n - 1) ) (n - 4) 8613 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 105975 n ((n - 1) ) (n - 4) 443079 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 642441 n ((n - 1) ) (n - 4) 1292232 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1766496 n ((n - 1) ) (n - 4) 1562040 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 803088 n ((n - 1) ) (n - 4) 181440 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 3 n ((n - 1) ) (n - 4) 111 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n 10 n 9 n 8 n 3 n (n - 4) 78 n (n - 4) 858 n (n - 4) 5208 n (n - 4) + -------------- - --------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 7 n 6 n 5 n 19047 n (n - 4) 42882 n (n - 4) 57852 n (n - 4) + ----------------- - ----------------- + ----------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 4 n 3 n 19 n 3 n 42552 n (n - 4) 12960 n (n - 4) 2 n ((n - 1) ) (n - 2) - ----------------- + ----------------- - -------------------------- n 7 n 7 9 n 4 5 n (n - 4) n (n - 4) (n - 1) (n ) (n - 2) 12 n n 11 n n n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) and in Maple notation -720*n^18*((n-1)^n)^6/(n-1)^20/(n^n)^6+10546313/4/(n^n)*n^10*(n-6)^n/(n-6)^10+ 86351154/(n^n)*n^6*(n-6)^n/(n-6)^10-81145296/(n^n)*n^5*(n-6)^n/(n-6)^10+ 58947233/2/(n^n)*n^8*(n-6)^n/(n-6)^10-41304337/4/(n^n)*n^9*(n-6)^n/(n-6)^10+ 44768160/(n^n)*n^4*(n-6)^n/(n-6)^10-59/4/(n^n)*n^15*(n-6)^n/(n-6)^10+1/4/(n^n)* n^16*(n-6)^n/(n-6)^10+1571/4/(n^n)*n^14*(n-6)^n/(n-6)^10+264393/4/(n^n)*n^12*(n -6)^n/(n-6)^10-1965477/4/(n^n)*n^11*(n-6)^n/(n-6)^10-24979/4/(n^n)*n^13*(n-6)^n /(n-6)^10-60440591/(n^n)*n^7*(n-6)^n/(n-6)^10-10886400/(n^n)*n^3*(n-6)^n/(n-6)^ 10+785*n^23*((n-1)^n)^6/(n-1)^20/(n^n)^6-2175*n^22*((n-1)^n)^6/(n-1)^20/(n^n)^6 +3840*n^21*((n-1)^n)^6/(n-1)^20/(n^n)^6-4220*n^20*((n-1)^n)^6/(n-1)^20/(n^n)^6+ 2640*n^19*((n-1)^n)^6/(n-1)^20/(n^n)^6-5/4*n^26*((n-1)^n)^6/(n-1)^20/(n^n)^6+45 /2*n^25*((n-1)^n)^6/(n-1)^20/(n^n)^6-705/4*n^24*((n-1)^n)^6/(n-1)^20/(n^n)^6-\ 6463*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^5+17690*n^17*((n-1)^n)^3/( n-1)^11/(n^n)^4*(n-3)^n/(n-3)^5-33168*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n /(n-3)^5+42032*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^5-34416*n^14*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^5+16416*n^13*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-3)^n/(n-3)^5-3456*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^5+16687 /4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-29995/2*n^15*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^6+151653/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^6-67355*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+82338*n^12*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-65880*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-4)^n/(n-4)^6+30996*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-6480*n^9 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+403/4*n^18*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-4)^n/(n-4)^6-800*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6+1/4*n ^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^6-15/2*n^19*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-4)^n/(n-4)^6-2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+24*n^10*( n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-110*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/ (n-2)^5+240*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-248*n^7*(n-1)^n/(n-1)^3 /(n^n)^2*(n-2)^n/(n-2)^5+96*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+2*n^24* ((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-42*n^23*((n-1)^n)^4/(n-1)^13/(n^n) ^5*(n-2)^n/(n-2)^5+386*n^22*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-2038*n ^21*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5+6812*n^20*((n-1)^n)^4/(n-1)^13 /(n^n)^5*(n-2)^n/(n-2)^5-14944*n^19*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^ 5+21504*n^18*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-19552*n^17*((n-1)^n)^ 4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5+10176*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2 )^n/(n-2)^5-2304*n^15*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-25503*n^18*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+73506*n^17*((n-1)^n)^3/(n-1)^10/(n^ n)^4*(n-3)^n/(n-3)^6-144336*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+ 190608*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-161904*n^14*((n-1)^n)^ 3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+79776*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3 )^n/(n-3)^6-17280*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-3*n^22*((n-\ 1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+78*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*( n-3)^n/(n-3)^6-894*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+5952*n^19* ((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+2*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-4)^n/(n-4)^7-66*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+968*n^18*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-8332*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-4)^n/(n-4)^7+46778*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-179890 *n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+483516*n^14*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-4)^n/(n-4)^7-908128*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4 )^7+1167360*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-977184*n^11*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+478656*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-4)^n/(n-4)^7-103680*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-791/2*n^ 16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+4416*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n -5)^n/(n-5)^8-65103/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+166833*n^13* (n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-1218713/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2* (n-5)^n/(n-5)^8+1597218*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-2979368*n^ 10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+3852696*n^9*(n-1)^n/(n-1)^4/(n^n)^2* (n-5)^n/(n-5)^8-3273048*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+1636416*n^7 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-362880*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 5)^n/(n-5)^8-1/2*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+21*n^17*(n-1)^n/( n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-3812*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/( n-2)^6+12900*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-11448*n^17*((n-1 )^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4+5832*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5* (n-2)^n/(n-2)^4-1296*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4+3/2*n^24 *((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-30*n^23*((n-1)^n)^4/(n-1)^14/(n^n )^5*(n-2)^n/(n-2)^4+264*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4-1341* n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^4+8661/2*n^20*((n-1)^n)^4/(n-1) ^14/(n^n)^5*(n-2)^n/(n-2)^4-9213*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2 )^4-n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^5+24*n^21*((n-1)^n)^3/(n-1) ^11/(n^n)^4*(n-3)^n/(n-3)^5-256*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3) ^5+1598*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^5-91/2*n^10*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-2)^n/(n-2)^5+285/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-\ 242*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+210*n^7*(n-1)^n/(n-1)^4/(n^n)^2 *(n-2)^n/(n-2)^5-72*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+4616*n^12*(n-1) ^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-19642*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^7+53984*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-95744*n^9*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^7+105504*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7 -65376*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+17280*n^6*(n-1)^n/(n-1)^3/(n 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20304*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+11016*n^10*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5-2592*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^5-3*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+57*n^19*((n-1)^n)^3/(n -1)^10/(n^n)^4*(n-2)^n/(n-2)^5-465*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n -2)^5+2127*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-5964*n^16*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+10488*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n -2)^n/(n-2)^5-11280*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+6768*n^13 *((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-1728*n^12*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-2)^n/(n-2)^5-8904*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+ 33198*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-80616*n^13*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+127440*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/ (n-3)^6-126336*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+71136*n^10*((n-\ 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*(n-3)^n/(n-3)^7+105*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-1602*n^14*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+14022*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n /(n-4)^8-77931*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+287217*n^11*(n-1)^n /(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-710448*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n -4)^8+1163568*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-1205856*n^8*(n-1)^n/( n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+712368*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4) ^8-181440*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-3*n^16*(n-1)^n/(n-1)^3/(n ^n)^2*(n-4)^n/(n-4)^8+234999/2/(n^n)*n^10*(n-5)^n/(n-5)^9+3/2*n^22*((n-1)^n)^5/ (n-1)^17/(n^n)^5-24*n^21*((n-1)^n)^5/(n-1)^17/(n^n)^5+327/2*n^20*((n-1)^n)^5/(n -1)^17/(n^n)^5-615*n^19*((n-1)^n)^5/(n-1)^17/(n^n)^5+1380*n^18*((n-1)^n)^5/(n-1 )^17/(n^n)^5-1848*n^17*((n-1)^n)^5/(n-1)^17/(n^n)^5+1368*n^16*((n-1)^n)^5/(n-1) ^17/(n^n)^5+1/2*(n-2)^n/(n-2)^5/(n^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2 )^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/(n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3 +32*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-214*n^17*((n-1)^n)^3/(n-1) ^9/(n^n)^4*(n-2)^n/(n-2)^5+776*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5 -1648*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+2048*n^14*((n-1)^n)^3/(n -1)^9/(n^n)^4*(n-2)^n/(n-2)^5-1376*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-\ 2)^5+384*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+561*n^15*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-2769*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/( n-3)^6+8292*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-15432*n^12*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+17424*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^6-10896*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+2880*n^9*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+3*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -3)^n/(n-3)^6-63*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-2*n^15*(n-1)^ n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+56*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4) ^7-676*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+2056*n^16*((n-1)^n)^4/(n-1) ^12/(n^n)^5*(n-2)^n/(n-2)^6-2668*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2 )^6+4024*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6-480*n^15*((n-1)^n)^4 /(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+2305/2*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2 )^n/(n-2)^6-23/4*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+229/4*n^22*( (n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6-1297/4*n^21*((n-1)^n)^4/(n-1)^12/(n ^n)^5*(n-2)^n/(n-2)^6+1/4*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+ 2671*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-12392*n^18*((n-1)^n)^3/(n -1)^9/(n^n)^4*(n-3)^n/(n-3)^7+38332*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n -3)^7-80128*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7+111824*n^15*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-99712*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n -3)^n/(n-3)^7+51264*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-11520*n^12 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*( n-3)^n/(n-3)^7+29*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-367*n^20*((n -1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7+7/2/(n^n)*n^9*(n-3)^n/(n-3)^6-119/2/(n ^n)*n^8*(n-3)^n/(n-3)^6+805/2/(n^n)*n^7*(n-3)^n/(n-3)^6-2765/2/(n^n)*n^6*(n-3)^ n/(n-3)^6+2534/(n^n)*n^5*(n-3)^n/(n-3)^6-2338/(n^n)*n^4*(n-3)^n/(n-3)^6+840/(n^ n)*n^3*(n-3)^n/(n-3)^6-n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+14*n^17*((n-1)^n)^4/(n -1)^14/(n^n)^4-81*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+248*n^15*((n-1)^n)^4/(n-1)^ 14/(n^n)^4-424*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+384*n^13*((n-1)^n)^4/(n-1)^14/ (n^n)^4+7/4/(n^n)*n^12*(n-4)^n/(n-4)^8-231/4/(n^n)*n^11*(n-4)^n/(n-4)^8+819/(n^ n)*n^10*(n-4)^n/(n-4)^8-13083/2/(n^n)*n^9*(n-4)^n/(n-4)^8+129507/4/(n^n)*n^8*(n -4)^n/(n-4)^8-411159/4/(n^n)*n^7*(n-4)^n/(n-4)^8+417697/2/(n^n)*n^6*(n-4)^n/(n-\ 4)^8-261051/(n^n)*n^5*(n-4)^n/(n-4)^8+181314/(n^n)*n^4*(n-4)^n/(n-4)^8-52920/(n ^n)*n^3*(n-4)^n/(n-4)^8-18*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3-432*n^15*((n-1)^n)^ 5/(n-1)^17/(n^n)^5+48*n^15*((n-1)^n)^5/(n-1)^16/(n^n)^5+939/2*n^16*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-6135/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n /(n-3)^7+12453*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-32592*n^13*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+55008*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-3)^n/(n-3)^7-57720*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+34128*n^ 10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-8640*n^9*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-3)^n/(n-3)^7+3/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-81/2* n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+1500*n^16*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-3)^n/(n-3)^6-3*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+93*n^15* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-1266*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^7+9966*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-50235*n^12*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+169365*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^7-386544*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+589104*n^9*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^7-572832*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 7+320112*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-77760*n^6*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^7+906*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-\ 8613*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+105975/2*n^16*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-443079/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4 )^n/(n-4)^8+642441*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-1292232*n^ 13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+1766496*n^12*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-4)^n/(n-4)^8-1562040*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4) ^8+803088*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-181440*n^9*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+3/2*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n /(n-4)^8-111/2*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+3/(n^n)*n^11*(n -4)^n/(n-4)^7-78/(n^n)*n^10*(n-4)^n/(n-4)^7+858/(n^n)*n^9*(n-4)^n/(n-4)^7-5208/ (n^n)*n^8*(n-4)^n/(n-4)^7+19047/(n^n)*n^7*(n-4)^n/(n-4)^7-42882/(n^n)*n^6*(n-4) ^n/(n-4)^7+57852/(n^n)*n^5*(n-4)^n/(n-4)^7-42552/(n^n)*n^4*(n-4)^n/(n-4)^7+ 12960/(n^n)*n^3*(n-4)^n/(n-4)^7-2*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2 )^5-1/2*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+15/2*n^11*(n-1)^n/(n-1)^4/ (n^n)^2*(n-2)^n/(n-2)^5 The, 4, 3, mixed moment of, X[2], and , X[3], is 23 n 5 22 n 5 21 n 5 n ((n - 1) ) 19 n ((n - 1) ) 157 n ((n - 1) ) ----------------- - ------------------ + ------------------- 18 n 5 18 n 5 18 n 5 2 (n - 1) (n ) 2 (n - 1) (n ) 2 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 737 n ((n - 1) ) 1075 n ((n - 1) ) 1996 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 18 n 5 18 n 5 18 n 5 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 11 n 2304 n ((n - 1) ) 1512 n ((n - 1) ) 1204161 n (n - 5) + -------------------- - -------------------- + -------------------- 18 n 5 18 n 5 n 10 (n - 1) (n ) (n - 1) (n ) 8 n (n - 5) 10 n 9 n 8 n 3868767 n (n - 5) 35136521 n (n - 5) 56723877 n (n - 5) - -------------------- + -------------------- - -------------------- n 10 n 10 n 10 4 n (n - 5) 8 n (n - 5) 4 n (n - 5) 7 n 6 n 5 n 64505623 n (n - 5) 50278011 n (n - 5) 50838984 n (n - 5) + -------------------- - -------------------- + -------------------- n 10 n 10 n 10 2 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 14 n 29813616 n (n - 5) 7620480 n (n - 5) 189 n (n - 5) - -------------------- + ------------------- - ---------------- n 10 n 10 n 10 n (n - 5) n (n - 5) 4 n (n - 5) 13 n 12 n 15 n 9107 n (n - 5) 64659 n (n - 5) 7 n (n - 5) + ----------------- - ------------------ + -------------- n 10 n 10 n 10 8 n (n - 5) 4 n (n - 5) 8 n (n - 5) 21 n 3 n 20 n 3 n 7 n ((n - 1) ) (n - 2) 147 n ((n - 1) ) (n - 2) - -------------------------- + ---------------------------- 12 n 4 4 12 n 4 4 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 9996 n ((n - 1) ) (n - 2) 9261 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 4914 n ((n - 1) ) (n - 2) 1134 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 24507 n ((n - 1) ) (n - 2) 54607 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 4 12 n 4 4 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 679 n ((n - 1) ) (n - 2) 3619 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 12 n 4 4 12 n 4 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 3 n ((n - 1) ) (n - 2) 33 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 11 n 4 5 11 n 4 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 318 n ((n - 1) ) (n - 2) 1761 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 12345 n ((n - 1) ) (n - 2) 14190 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 5 11 n 4 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 21372 n ((n - 1) ) (n - 2) 20304 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 11016 n ((n - 1) ) (n - 2) 2592 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 21 n ((n - 1) ) (n - 3) 567 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 209685 n ((n - 1) ) (n - 3) 630735 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 323127 n ((n - 1) ) (n - 3) 222537 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 196938 n ((n - 1) ) (n - 3) 100926 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 22680 n ((n - 1) ) (n - 3) 3381 n ((n - 1) ) (n - 3) + ----------------------------- + ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 18 n 2 n 23457 n ((n - 1) ) (n - 3) 45 n ((n - 1) ) (n - 3) - ------------------------------ - --------------------------- 8 n 3 6 7 n 3 7 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 591 n ((n - 1) ) (n - 3) 4476 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 43311 n ((n - 1) ) (n - 3) 69951 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 7 n 3 7 7 n 3 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 152784 n ((n - 1) ) (n - 3) 222744 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 207288 n ((n - 1) ) (n - 3) 111024 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 19 n 2 n 25920 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n n 16 n n 21 n (n - 1) (n - 4) 399 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 13419 n (n - 1) (n - 4) 32949 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 839979 n (n - 1) (n - 4) 1823535 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 11004693 n (n - 1) (n - 4) 2883048 n (n - 1) (n - 4) - ------------------------------ + ----------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 4109490 n (n - 1) (n - 4) 3788694 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 2028726 n (n - 1) (n - 4) 476280 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 43 n (n - 1) (n - 4) 407 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 9 3 n 2 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 4473 n (n - 1) (n - 4) 63369 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n n 11 n n 303555 n (n - 1) (n - 4) 501364 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 1141192 n (n - 1) (n - 4) 1752400 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 1726536 n (n - 1) (n - 4) 980064 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 241920 n (n - 1) (n - 4) n (n - 1) (n - 4) + --------------------------- - ------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n 6 21 n 7 10 n 432 n ((n - 1) ) 2592 n ((n - 1) ) 31638939 n (n - 6) - ------------------- + -------------------- + --------------------- 20 n 6 24 n 7 n 10 (n - 1) (n ) (n - 1) (n ) 4 n (n - 6) 6 n 5 n 8 n 259053462 n (n - 6) 243435888 n (n - 6) 176841699 n (n - 6) + --------------------- - --------------------- + --------------------- n 10 n 10 n 10 n (n - 6) n (n - 6) 2 n (n - 6) 9 n 4 n 15 n 123913011 n (n - 6) 134304480 n (n - 6) 177 n (n - 6) - --------------------- + --------------------- - ---------------- n 10 n 10 n 10 4 n (n - 6) n (n - 6) 4 n (n - 6) 16 n 14 n 12 n 3 n (n - 6) 4713 n (n - 6) 793179 n (n - 6) + -------------- + ----------------- + ------------------- n 10 n 10 n 10 4 n (n - 6) 4 n (n - 6) 4 n (n - 6) 11 n 13 n 7 n 5896431 n (n - 6) 74937 n (n - 6) 181321773 n (n - 6) - -------------------- - ------------------ - --------------------- n 10 n 10 n 10 4 n (n - 6) 4 n (n - 6) n (n - 6) 3 n 23 n 6 22 n 6 32659200 n (n - 6) 471 n ((n - 1) ) 1305 n ((n - 1) ) - -------------------- + ------------------- - -------------------- n 10 20 n 6 20 n 6 n (n - 6) (n - 1) (n ) (n - 1) (n ) 21 n 6 20 n 6 19 n 6 2304 n ((n - 1) ) 2532 n ((n - 1) ) 1584 n ((n - 1) ) + -------------------- - -------------------- + -------------------- 20 n 6 20 n 6 20 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 26 n 6 25 n 6 24 n 6 3 n ((n - 1) ) 27 n ((n - 1) ) 423 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 20 n 6 20 n 6 20 n 6 4 (n - 1) (n ) 2 (n - 1) (n ) 4 (n - 1) (n ) 19 n 2 n 18 n 2 n 342027 n ((n - 1) ) (n - 5) 2136519 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 9832983 n ((n - 1) ) (n - 5) 33869991 n ((n - 1) ) (n - 5) + -------------------------------- - --------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 43864791 n ((n - 1) ) (n - 5) 21249633 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 8 n 3 8 8 n 3 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 30309552 n ((n - 1) ) (n - 5) 30838374 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 21137436 n ((n - 1) ) (n - 5) 8724672 n ((n - 1) ) (n - 5) + --------------------------------- - -------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 21 n 2 n 1632960 n ((n - 1) ) (n - 5) 3021 n ((n - 1) ) (n - 5) + ------------------------------- + ----------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 20 n 2 n 23 n 2 n 39117 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 5) - ------------------------------ + -------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 22 n 2 n 20 n 5 n 141 n ((n - 1) ) (n - 5) 50448 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 8 n 3 8 16 n 6 6 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 19 n 5 n 22 n 5 n 22104 n ((n - 1) ) (n - 2) 59910 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 5 n 18 n 5 n 67890 n ((n - 1) ) (n - 2) 4320 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 26 n 5 n 72837 n ((n - 1) ) (n - 2) 1935 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 16 n 6 6 16 n 6 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 37407 n ((n - 1) ) (n - 2) 15564 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 16 n 6 6 16 n 6 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 21 n ((n - 1) ) (n - 2) 525 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 16 n 6 6 16 n 6 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 29 n 5 n 22 n 4 n 3 n ((n - 1) ) (n - 2) 174477 n ((n - 1) ) (n - 3) - -------------------------- - ------------------------------- 16 n 6 6 13 n 5 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 519210 n ((n - 1) ) (n - 3) 1113684 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1709400 n ((n - 1) ) (n - 3) 1831152 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1299168 n ((n - 1) ) (n - 3) 547776 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 27 n 4 n 103680 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + ------------------------------- + -------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 51 n ((n - 1) ) (n - 3) 777 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 4 n 11 n n 7020 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 2) - ----------------------------- - ----------------------- 13 n 5 7 3 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 10 n n 9 n n 24 n (n - 1) (n - 2) 110 n (n - 1) (n - 2) + ------------------------ - ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 240 n (n - 1) (n - 2) 248 n (n - 1) (n - 2) + ------------------------ - ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 23 n 4 n 96 n (n - 1) (n - 2) 83847 n ((n - 1) ) (n - 3) + ----------------------- + ------------------------------ 3 n 2 5 13 n 5 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 608931 n ((n - 1) ) (n - 4) 1614465 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 10 n 4 8 10 n 4 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 12408381 n ((n - 1) ) (n - 4) 8750511 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 10 n 4 8 10 n 4 8 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 18123453 n ((n - 1) ) (n - 4) 27221868 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 28818396 n ((n - 1) ) (n - 4) 20353680 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 8588592 n ((n - 1) ) (n - 4) 1632960 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 189 n ((n - 1) ) (n - 4) 7155 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 10 n 4 8 10 n 4 8 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 22 n 3 n 25 n 3 n 20214 n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 3 n ((n - 1) ) (n - 2) 63 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 579 n ((n - 1) ) (n - 2) 3057 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 10218 n ((n - 1) ) (n - 2) 22416 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 32256 n ((n - 1) ) (n - 2) 29328 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 15264 n ((n - 1) ) (n - 2) 3456 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 76509 n ((n - 1) ) (n - 3) 110259 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 4 6 10 n 4 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 216504 n ((n - 1) ) (n - 3) 285912 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 242856 n ((n - 1) ) (n - 3) 119664 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 22 n 3 n 25920 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ------------------------------ - -------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 117 n ((n - 1) ) (n - 3) 1341 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 20 n 2 n 8928 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 4) + ----------------------------- + -------------------------- 10 n 4 6 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 99 n ((n - 1) ) (n - 4) 1452 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 12498 n ((n - 1) ) (n - 4) 70167 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 269835 n ((n - 1) ) (n - 4) 725274 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 1362192 n ((n - 1) ) (n - 4) 1751040 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 1465776 n ((n - 1) ) (n - 4) 717984 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 155520 n ((n - 1) ) (n - 4) 2373 n (n - 1) (n - 5) - ------------------------------ - -------------------------- 7 n 3 7 4 n 2 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 15 n n 14 n n 6624 n (n - 1) (n - 5) 195309 n (n - 1) (n - 5) + -------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 13 n n 12 n n 500499 n (n - 1) (n - 5) 3656139 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 11 n n 10 n n 2395827 n (n - 1) (n - 5) 4469052 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 5779044 n (n - 1) (n - 5) 4909572 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 2454624 n (n - 1) (n - 5) 544320 n (n - 1) (n - 5) + ---------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 17 n n 3 n (n - 1) (n - 5) 63 n (n - 1) (n - 5) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 17 n 4 n 27 n 4 n 11436 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------- 12 n 5 6 12 n 5 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 19 n ((n - 1) ) (n - 3) 321 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 12 n 5 8 12 n 5 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 1595 n ((n - 1) ) (n - 3) 41569 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 12 n 5 8 12 n 5 8 2 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 93627 n ((n - 1) ) (n - 3) 149651 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 12 n 5 8 12 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 171203 n ((n - 1) ) (n - 3) 278490 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 314276 n ((n - 1) ) (n - 3) 233608 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 102672 n ((n - 1) ) (n - 3) 20160 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 6187 n ((n - 1) ) (n - 4) 102409 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 592815 n ((n - 1) ) (n - 4) 1235212 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 9 n 4 9 9 n 4 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 3753758 n ((n - 1) ) (n - 4) 8322624 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 27 n 4 n 26 n 4 n 9 n ((n - 1) ) (n - 3) 279 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 14 n 5 6 14 n 5 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 1953 n ((n - 1) ) (n - 3) 16335 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 14 n 5 6 14 n 5 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 181881 n ((n - 1) ) (n - 3) 710199 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 14 n 5 6 14 n 5 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 3 n ((n - 1) ) (n - 4) 57 n ((n - 1) ) (n - 4) - -------------------------- + --------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 1965 n ((n - 1) ) (n - 4) 10176 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 141369 n ((n - 1) ) (n - 4) 347829 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 2495451 n ((n - 1) ) (n - 4) 3303786 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 6456822 n ((n - 1) ) (n - 4) 9197064 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 9276552 n ((n - 1) ) (n - 4) 6270048 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 2542752 n ((n - 1) ) (n - 4) 466560 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n n ((n - 1) ) (n - 4) 35 n ((n - 1) ) (n - 4) - -------------------------- + --------------------------- 12 n 4 6 12 n 4 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 551725 n ((n - 1) ) (n - 4) 1387625 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 12 n 4 6 12 n 4 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 1293185 n ((n - 1) ) (n - 4) 440850 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 427212 n ((n - 1) ) (n - 4) 278370 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 109188 n ((n - 1) ) (n - 4) 19440 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 35105 n ((n - 1) ) (n - 4) 162625 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 12 n 4 6 12 n 4 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 559 n ((n - 1) ) (n - 4) 5395 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 12 n 4 6 12 n 4 6 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 21 n 5 n 20 n 5 n 70236 n ((n - 1) ) (n - 2) 49572 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 18 n 6 4 18 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 20736 n ((n - 1) ) (n - 2) 3888 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 18 n 6 4 18 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 3 n ((n - 1) ) (n - 2) 75 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 18 n 6 4 18 n 6 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 423 n ((n - 1) ) (n - 2) 2841 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 18 n 6 4 18 n 6 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 25239 n ((n - 1) ) (n - 2) 77823 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 18 n 6 4 18 n 6 4 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 42474 n ((n - 1) ) (n - 2) 65613 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 18 n 6 4 18 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 29 n ((n - 1) ) (n - 3) 191 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 15 n 5 5 15 n 5 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 27 n 4 n 24 n 4 n n ((n - 1) ) (n - 3) 1511 n ((n - 1) ) (n - 3) + -------------------------- - ----------------------------- 15 n 5 5 15 n 5 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 15989 n ((n - 1) ) (n - 3) 59593 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 15 n 5 5 15 n 5 5 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 80198 n ((n - 1) ) (n - 3) 157006 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 221792 n ((n - 1) ) (n - 3) 220344 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 146016 n ((n - 1) ) (n - 3) 57888 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 10 n n 10368 n ((n - 1) ) (n - 3) 273 n (n - 1) (n - 2) + ------------------------------ - ------------------------- 15 n 5 5 4 n 2 5 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 855 n (n - 1) (n - 2) 363 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 5 4 n 2 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 315 n (n - 1) (n - 2) 108 n (n - 1) (n - 2) + ------------------------ - ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 2 n 21 n 2 n 3 n ((n - 1) ) (n - 5) 3681 n ((n - 1) ) (n - 5) + -------------------------- + ----------------------------- 7 n 3 9 7 n 3 9 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 22 n 2 n 16 n 2 n 78 n ((n - 1) ) (n - 5) 31080333 n ((n - 1) ) (n - 5) - --------------------------- - --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 86103756 n ((n - 1) ) (n - 5) 177605592 n ((n - 1) ) (n - 5) + --------------------------------- - ---------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 268409688 n ((n - 1) ) (n - 5) 288030096 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 207287424 n ((n - 1) ) (n - 5) 89434368 n ((n - 1) ) (n - 5) + ---------------------------------- - --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 19 n 2 n 17418240 n ((n - 1) ) (n - 5) 498237 n ((n - 1) ) (n - 5) + -------------------------------- + ------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 1689012 n ((n - 1) ) (n - 5) 16791063 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 20 n 2 n 12 n n 26121 n ((n - 1) ) (n - 5) 4616 n (n - 1) (n - 4) - ------------------------------ + -------------------------- 7 n 3 9 3 n 2 7 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 4) 11 n n 10 n n 19642 n (n - 1) (n - 4) 53984 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 95744 n (n - 1) (n - 4) 105504 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 65376 n (n - 1) (n - 4) 17280 n (n - 1) (n - 4) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 675 n ((n - 1) ) (n - 4) 15861 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 243783 n ((n - 1) ) (n - 4) 1290879 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 6 n 3 9 6 n 3 9 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 2414757 n ((n - 1) ) (n - 4) 3215880 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 9 6 n 3 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 6052176 n ((n - 1) ) (n - 4) 7847004 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 6649704 n ((n - 1) ) (n - 4) 3303072 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 21 n 2 n 725760 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 4) + ------------------------------ + -------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 20 n 2 n 14 n n 135 n ((n - 1) ) (n - 4) 2174112 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 6 n 3 9 3 n 2 10 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 13 n n 12 n n 21690681 n (n - 1) (n - 5) 39368742 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 3 n 2 10 3 n 2 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 15 n 2 n 103911000 n (n - 1) (n - 5) 3 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------- 3 n 2 10 6 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 42 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 690 n ((n - 1) ) (n - 2) 1092 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 888 n ((n - 1) ) (n - 2) 288 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 6 n (n - 1) (n - 3) 114 n (n - 1) (n - 3) - ----------------------- + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 894 n (n - 1) (n - 3) 3750 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 9084 n (n - 1) (n - 3) 12696 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 9456 n (n - 1) (n - 3) 2880 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 5 20 n 5 19 n 5 n ((n - 1) ) 13 n ((n - 1) ) 35 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 16 n 5 16 n 5 16 n 5 2 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 18 n 5 17 n 5 16 n 5 100 n ((n - 1) ) 160 n ((n - 1) ) 136 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 16 n 5 16 n 5 16 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 12 n 11 n 10 n n (n - 5) 37 n (n - 5) 300 n (n - 5) 2805 n (n - 5) + ------------- - --------------- + ---------------- - ----------------- n 8 n 8 n 8 n 8 2 n (n - 5) 2 n (n - 5) n (n - 5) n (n - 5) 9 n 8 n 7 n 33453 n (n - 5) 132741 n (n - 5) 177145 n (n - 5) + ----------------- - ------------------ + ------------------ n 8 n 8 n 8 2 n (n - 5) 2 n (n - 5) n (n - 5) 6 n 5 n 4 n 313270 n (n - 5) 350148 n (n - 5) 222336 n (n - 5) - ------------------ + ------------------ - ------------------ n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 3 n 18 n n 60480 n (n - 5) 225 n (n - 1) (n - 5) + ----------------- + ------------------------- n 8 4 n 2 9 n (n - 5) 2 (n - 1) (n ) (n - 5) 19 n n 13 n n 9 n (n - 1) (n - 5) 34992369 n (n - 1) (n - 5) - ------------------------- - ------------------------------ 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 12 n n 11 n n 29124315 n (n - 1) (n - 5) 70907004 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 124594380 n (n - 1) (n - 5) 153425772 n (n - 1) (n - 5) + ------------------------------- - ------------------------------ 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 125193600 n (n - 1) (n - 5) 60543936 n (n - 1) (n - 5) + ------------------------------ - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 13063680 n (n - 1) (n - 5) 34110 n (n - 1) (n - 5) + ----------------------------- + --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n n 14 n n 1221831 n (n - 1) (n - 5) 3845205 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 17 n n 31 n 7 30 n 7 10143 n (n - 1) (n - 5) 3 n ((n - 1) ) 69 n ((n - 1) ) - --------------------------- + ----------------- - ------------------ 4 n 2 9 24 n 7 24 n 7 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) 4 (n - 1) (n ) 29 n 7 28 n 7 27 n 7 711 n ((n - 1) ) 4323 n ((n - 1) ) 8589 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 24 n 7 24 n 7 24 n 7 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 26 n 7 25 n 7 24 n 7 11655 n ((n - 1) ) 21882 n ((n - 1) ) 28068 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 24 n 7 24 n 7 24 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 23 n 7 22 n 7 23544 n ((n - 1) ) 11664 n ((n - 1) ) + --------------------- - --------------------- 24 n 7 24 n 7 (n - 1) (n ) (n - 1) (n ) 18 n 2 n 17 n 2 n 33993 n ((n - 1) ) (n - 4) 472959 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 1141506 n ((n - 1) ) (n - 4) 7842357 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 9658665 n ((n - 1) ) (n - 4) 16929576 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 20584584 n ((n - 1) ) (n - 4) 16467624 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 7772112 n ((n - 1) ) (n - 4) 1632960 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 9 n ((n - 1) ) (n - 4) 180 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 7 n 3 8 7 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 12 n 4 6435 n ((n - 1) ) (n - 4) 54 n ((n - 1) ) + ----------------------------- + ------------------ 7 n 3 8 15 n 4 2 (n - 1) (n ) (n - 4) (n - 1) (n ) 16 n 3 n 15 n 3 n 13300904 n ((n - 1) ) (n - 4) 14895808 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 11068320 n ((n - 1) ) (n - 4) 4887936 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 25 n 3 n 967680 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 47 n ((n - 1) ) (n - 4) 495 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 9 n 4 9 9 n 4 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 30387129 n ((n - 1) ) (n - 5) 61059423 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 6 n 3 10 6 n 3 10 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 91324242 n ((n - 1) ) (n - 5) 202296972 n ((n - 1) ) (n - 5) + --------------------------------- - ---------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 326539092 n ((n - 1) ) (n - 5) 372241368 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 283055040 n ((n - 1) ) (n - 5) 128345472 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 20 n 2 n 26127360 n ((n - 1) ) (n - 5) 35841 n ((n - 1) ) (n - 5) + -------------------------------- - ------------------------------ 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 19 n 2 n 29 n 5 n 753369 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------- 6 n 3 10 17 n 6 5 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 39 n ((n - 1) ) (n - 2) 456 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 3165 n ((n - 1) ) (n - 2) 28977 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 45924 n ((n - 1) ) (n - 2) 102822 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 162552 n ((n - 1) ) (n - 2) 177720 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 127872 n ((n - 1) ) (n - 2) 54432 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 21 n 4 n 10368 n ((n - 1) ) (n - 2) 498663 n ((n - 1) ) (n - 3) + ------------------------------ + ------------------------------- 17 n 6 5 14 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 1014993 n ((n - 1) ) (n - 3) 1485720 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 1524708 n ((n - 1) ) (n - 3) 1040688 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 423792 n ((n - 1) ) (n - 3) 77760 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 21 n 2 n 2801025 n ((n - 1) ) (n - 5) 4563 n ((n - 1) ) (n - 5) - -------------------------------- + ----------------------------- 6 n 3 10 6 n 3 10 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 12 n n 11 n n 2163 n (n - 1) (n - 3) 5628 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 71169 n (n - 1) (n - 3) 69909 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 6 4 n 2 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 8 n n 7 n n 41601 n (n - 1) (n - 3) 27342 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 22 n 2 n 7560 n (n - 1) (n - 3) 87 n ((n - 1) ) (n - 5) - ------------------------- - --------------------------- 4 n 2 6 6 n 3 10 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 5) 23 n 2 n 14 n n 3 n ((n - 1) ) (n - 5) 21 n (n - 1) (n - 3) + -------------------------- - ------------------------- 6 n 3 10 4 n 2 6 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 3) 13 n n 14 n n 231 n (n - 1) (n - 3) 3 n (n - 1) (n - 3) + ------------------------- - ----------------------- 4 n 2 6 3 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 75 n (n - 1) (n - 3) 789 n (n - 1) (n - 3) + ------------------------ - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 4557 n (n - 1) (n - 3) 15792 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n n 13 n n n (n - 1) (n - 6) 412236385 n (n - 1) (n - 6) - -------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 5491069584 n (n - 1) (n - 6) 4342020480 n (n - 1) (n - 6) - ------------------------------- + ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 12 n n 2802221152 n (n - 1) (n - 6) 1241291348 n (n - 1) (n - 6) - -------------------------------- + -------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 20 n n 2052000000 n (n - 1) (n - 6) 71 n (n - 1) (n - 6) - ------------------------------- + -------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 18 n n 19 n n 45011 n (n - 1) (n - 6) 2299 n (n - 1) (n - 6) + --------------------------- - -------------------------- 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 17 n n 15 n n 595561 n (n - 1) (n - 6) 39419897 n (n - 1) (n - 6) - ---------------------------- - ------------------------------ 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 14 n n 16 n n 207169633 n (n - 1) (n - 6) 5637773 n (n - 1) (n - 6) + ------------------------------- + ----------------------------- 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 10 n n 6 n n 4652341928 n (n - 1) (n - 6) 435456000 n (n - 1) (n - 6) + -------------------------------- + ------------------------------ 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 33600 n (n - 1) (n - 3) 42816 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 13 n 29808 n (n - 1) (n - 3) 8640 n (n - 1) (n - 3) n (n - 4) + -------------------------- - ------------------------- + ------------- 3 n 2 7 3 n 2 7 n 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n (n - 4) 12 n 11 n 10 n 41 n (n - 4) 183 n (n - 4) 3741 n (n - 4) - --------------- + ---------------- - ----------------- n 9 n 9 n 9 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 9 n 8 n 7 n 48405 n (n - 4) 206745 n (n - 4) 294619 n (n - 4) + ----------------- - ------------------ + ------------------ n 9 n 9 n 9 8 n (n - 4) 8 n (n - 4) 4 n (n - 4) 6 n 5 n 4 n 275977 n (n - 4) 162123 n (n - 4) 107388 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 2 n (n - 4) n (n - 4) n (n - 4) 3 n 20 n 3 n 30240 n (n - 4) 9 n ((n - 1) ) (n - 2) + ----------------- - -------------------------- n 9 10 n 4 5 n (n - 4) 2 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 171 n ((n - 1) ) (n - 2) 1395 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 4 5 10 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 6381 n ((n - 1) ) (n - 2) 8946 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 4 5 10 n 4 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 15732 n ((n - 1) ) (n - 2) 16920 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 10152 n ((n - 1) ) (n - 2) 2592 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 13356 n ((n - 1) ) (n - 3) 49797 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 120924 n ((n - 1) ) (n - 3) 191160 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 189504 n ((n - 1) ) (n - 3) 106704 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 25920 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 19 n 6 27 n 6 216 n ((n - 1) ) (n - 3) 5184 n ((n - 1) ) 3 n ((n - 1) ) - ---------------------------- - -------------------- - ----------------- 7 n 3 6 21 n 6 21 n 6 (n - 1) (n ) (n - 3) (n - 1) (n ) 4 (n - 1) (n ) 26 n 6 25 n 6 24 n 6 63 n ((n - 1) ) 585 n ((n - 1) ) 3153 n ((n - 1) ) + ------------------ - ------------------- + -------------------- 21 n 6 21 n 6 21 n 6 4 (n - 1) (n ) 4 (n - 1) (n ) 4 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 2718 n ((n - 1) ) 6219 n ((n - 1) ) 9444 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 21 n 6 21 n 6 21 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 20 n 6 9 n 8 n 9180 n ((n - 1) ) 3603285 n (n - 5) 6372981 n (n - 5) + -------------------- - ------------------- + ------------------- 21 n 6 n 9 n 9 (n - 1) (n ) 2 n (n - 5) n (n - 5) 7 n 6 n 5 n 15573870 n (n - 5) 25706772 n (n - 5) 27211680 n (n - 5) - -------------------- + -------------------- - -------------------- n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 13 n 16552512 n (n - 5) 4354560 n (n - 5) 405 n (n - 5) + -------------------- - ------------------- - ---------------- n 9 n 9 n 9 n (n - 5) n (n - 5) 2 n (n - 5) 12 n 11 n 14 n 4032 n (n - 5) 46845 n (n - 5) 9 n (n - 5) + ----------------- - ------------------ + -------------- n 9 n 9 n 9 n (n - 5) n (n - 5) 2 n (n - 5) 19 n n 10 n n 3 n (n - 1) (n - 5) 1313316918 n (n - 1) (n - 6) - -------------------------- + -------------------------------- 3 n 2 10 4 n 2 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 6) 6 n n 18 n n 97977600 n (n - 1) (n - 6) 3 n (n - 1) (n - 5) + ----------------------------- - ----------------------- 4 n 2 10 3 n 2 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 5) 13 n n 12 n n 1671093 n (n - 1) (n - 5) 6650844 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 10 n n 18879888 n (n - 1) (n - 5) 37903008 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 52416816 n (n - 1) (n - 5) 47317248 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 24973056 n (n - 1) (n - 5) 5806080 n (n - 1) (n - 5) + ----------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n n 15 n n 2958 n (n - 1) (n - 5) 36606 n (n - 1) (n - 5) - -------------------------- + --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 17 n n 297459 n (n - 1) (n - 5) 141 n (n - 1) (n - 5) - ---------------------------- + ------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 3 n ((n - 1) ) (n - 2) 51 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 363 n ((n - 1) ) (n - 2) 1401 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 3162 n ((n - 1) ) (n - 2) 4164 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2952 n ((n - 1) ) (n - 2) 864 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 9 n 8 n 7 n 3 n (n - 3) 69 n (n - 3) 651 n (n - 3) 3255 n (n - 3) + -------------- - -------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 4641 n (n - 3) 3759 n (n - 3) 3186 n (n - 3) + ---------------- - ---------------- + ---------------- n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) 3 n 15 n n 1080 n (n - 3) 315 n (n - 1) (n - 4) - ---------------- + ------------------------- n 7 3 n 2 8 n (n - 3) (n - 1) (n ) (n - 4) 14 n n 13 n n 4806 n (n - 1) (n - 4) 42066 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 233793 n (n - 1) (n - 4) 861651 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 2131344 n (n - 1) (n - 4) 3490704 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 3617568 n (n - 1) (n - 4) 2137104 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 16 n n 544320 n (n - 1) (n - 4) 9 n (n - 1) (n - 4) - --------------------------- - ----------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 5 10 n n 7 432 n ((n - 1) ) 704997 n (n - 5) (n - 2) n + ------------------- + ------------------- + ------------- 18 n 5 n 9 5 n (n - 1) (n ) 2 n (n - 5) 2 (n - 2) n n 6 n 5 n 4 n 3 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n 12 (n - 2) n - ------------- + -------------- - -------------- + -------------- 5 n 5 n 5 n 5 n (n - 2) n 2 (n - 2) n (n - 2) n (n - 2) n 18 n 4 n 17 n 4 n 50148 n ((n - 1) ) (n - 2) 40176 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 5 4 15 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 18792 n ((n - 1) ) (n - 2) 3888 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 15 n 5 4 15 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 3 n ((n - 1) ) (n - 2) 69 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 15 n 5 4 15 n 5 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 354 n ((n - 1) ) (n - 2) 2133 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 15 n 5 4 15 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 16707 n ((n - 1) ) (n - 2) 44409 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 5 4 15 n 5 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 4 n 23 n 3 n 40539 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 3) + ------------------------------ - -------------------------- 15 n 5 4 12 n 4 5 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 81 n ((n - 1) ) (n - 3) 246 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 3549 n ((n - 1) ) (n - 3) 33771 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 12 n 4 5 12 n 4 5 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 111237 n ((n - 1) ) (n - 3) 129357 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 106152 n ((n - 1) ) (n - 3) 120384 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 89748 n ((n - 1) ) (n - 3) 39528 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 25 n 4 n 7776 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 2) + ----------------------------- + -------------------------- 12 n 4 5 14 n 5 5 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 54 n ((n - 1) ) (n - 2) 576 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 32 n ((n - 1) ) (n - 2) 214 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 776 n ((n - 1) ) (n - 2) 1648 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 2048 n ((n - 1) ) (n - 2) 1376 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 384 n ((n - 1) ) (n - 2) 561 n ((n - 1) ) (n - 3) + ---------------------------- + ---------------------------- 9 n 4 5 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 2769 n ((n - 1) ) (n - 3) 8292 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 15432 n ((n - 1) ) (n - 3) 17424 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 10896 n ((n - 1) ) (n - 3) 2880 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 2 n (n - 1) (n - 4) 56 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 16 n 4 n 676 n (n - 1) (n - 4) 6168 n ((n - 1) ) (n - 2) - ------------------------- + ----------------------------- 3 n 2 7 12 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 8004 n ((n - 1) ) (n - 2) 12072 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 1440 n ((n - 1) ) (n - 2) 6915 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 69 n ((n - 1) ) (n - 2) 687 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 4 n 24 n 4 n 3891 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 8013 n ((n - 1) ) (n - 3) 37176 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 114996 n ((n - 1) ) (n - 3) 240384 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 335472 n ((n - 1) ) (n - 3) 299136 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 153792 n ((n - 1) ) (n - 3) 34560 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 3 n ((n - 1) ) (n - 3) 87 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 9 n 8 n 1101 n ((n - 1) ) (n - 3) 7 n (n - 3) 119 n (n - 3) - ----------------------------- + ------------- - --------------- 9 n 4 7 n 6 n 6 (n - 1) (n ) (n - 3) 2 n (n - 3) 2 n (n - 3) 7 n 6 n 5 n 4 n 805 n (n - 3) 2765 n (n - 3) 2534 n (n - 3) 2338 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 3 n 10 n 6 n 840 n (n - 3) 440302401 n (n - 6) 2833970508 n (n - 6) + --------------- - ---------------------- - ---------------------- n 6 n 11 n 11 n (n - 3) 4 n (n - 6) n (n - 6) 5 n 8 n 9 n 2568663360 n (n - 6) 1065530268 n (n - 6) 398203377 n (n - 6) + ---------------------- - ---------------------- + --------------------- n 11 n 11 n 11 n (n - 6) n (n - 6) n (n - 6) 4 n 17 n 15 n 1375704000 n (n - 6) 3 n (n - 6) 6483 n (n - 6) - ---------------------- + -------------- + ----------------- n 11 n 11 n 11 n (n - 6) 4 n (n - 6) 4 n (n - 6) 16 n 14 n 12 n 207 n (n - 6) 122067 n (n - 6) 13828221 n (n - 6) - ---------------- - ------------------- - --------------------- n 11 n 11 n 11 4 n (n - 6) 4 n (n - 6) 4 n (n - 6) 11 n 13 n 7 n 90603249 n (n - 6) 1542549 n (n - 6) 2072271192 n (n - 6) + --------------------- + -------------------- + ---------------------- n 11 n 11 n 11 4 n (n - 6) 4 n (n - 6) n (n - 6) 3 n 12 n 11 n 326592000 n (n - 6) 21 n (n - 4) 693 n (n - 4) + --------------------- + --------------- - ---------------- n 11 n 8 n 8 n (n - 6) 4 n (n - 4) 4 n (n - 4) 10 n 9 n 8 n 2457 n (n - 4) 39249 n (n - 4) 388521 n (n - 4) + ----------------- - ----------------- + ------------------ n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 4 n (n - 4) 7 n 6 n 5 n 1233477 n (n - 4) 1253091 n (n - 4) 783153 n (n - 4) - ------------------- + ------------------- - ------------------ n 8 n 8 n 8 4 n (n - 4) 2 n (n - 4) n (n - 4) 4 n 3 n 19 n 4 543942 n (n - 4) 158760 n (n - 4) n ((n - 1) ) + ------------------ - ------------------ - ----------------- n 8 n 8 15 n 4 n (n - 4) n (n - 4) 8 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 17 n ((n - 1) ) 123 n ((n - 1) ) 491 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 15 n 4 15 n 4 15 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 146 n ((n - 1) ) 207 n ((n - 1) ) 162 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 15 n 4 15 n 4 15 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 16 n 14 n 12 n 20495 n (n - 7) 2004499 n (n - 7) 241101685 n (n - 7) - ------------------ - -------------------- - ---------------------- n 12 n 12 n 12 2 n (n - 7) n (n - 7) 2 n (n - 7) 11 n 13 n 5019256253 n (n - 7) 17812135 n (n - 7) + ----------------------- + --------------------- n 12 n 12 8 n (n - 7) n (n - 7) 7 n 3 n 19 n 31252676778 n (n - 7) 3592512000 n (n - 7) n (n - 7) + ----------------------- + ---------------------- + -------------- n 12 n 12 n 12 n (n - 7) n (n - 7) 8 n (n - 7) 10 n 6 n 10066651529 n (n - 7) 38680839108 n (n - 7) - ------------------------ - ----------------------- n 12 n 12 4 n (n - 7) n (n - 7) 5 n 8 n 32207556960 n (n - 7) 18064596410 n (n - 7) + ----------------------- - ----------------------- n 12 n 12 n (n - 7) n (n - 7) 9 n 4 n 18 n 7744618105 n (n - 7) 16058088000 n (n - 7) 43 n (n - 7) + ---------------------- - ----------------------- - --------------- n 12 n 12 n 12 n (n - 7) n (n - 7) 4 n (n - 7) 17 n 15 n 17 n 2 n 425 n (n - 7) 674261 n (n - 7) 3 n ((n - 1) ) (n - 2) + ---------------- + ------------------- + -------------------------- n 12 n 12 8 n 3 5 n (n - 7) 4 n (n - 7) 8 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 129 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1245 n ((n - 1) ) (n - 2) 7365 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6825 n ((n - 1) ) (n - 2) 3861 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1215 n ((n - 1) ) (n - 2) 324 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 3 n (n - 1) (n - 3) 21 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 507 n (n - 1) (n - 3) 1731 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 29463 n (n - 1) (n - 3) 10122 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 17952 n (n - 1) (n - 3) 19782 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 12258 n (n - 1) (n - 3) 3240 n (n - 1) (n - 3) - -------------------------- + ------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 5 16 n 2 n 48 n ((n - 1) ) 2817 n ((n - 1) ) (n - 3) + ------------------ + ----------------------------- 16 n 5 6 n 3 7 (n - 1) (n ) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 18405 n ((n - 1) ) (n - 3) 37359 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 97776 n ((n - 1) ) (n - 3) 165024 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 173160 n ((n - 1) ) (n - 3) 102384 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 25920 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 243 n ((n - 1) ) (n - 3) 2250 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 6 n 3 7 7 n 3 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 15 n n 9 n (n - 1) (n - 4) 279 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 1899 n (n - 1) (n - 4) 14949 n (n - 1) (n - 4) - -------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 150705 n (n - 1) (n - 4) 508095 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 579816 n (n - 1) (n - 4) 883656 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 859248 n (n - 1) (n - 4) 480168 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 20 n n 116640 n (n - 1) (n - 4) 24 n (n - 1) (n - 6) - --------------------------- + ------------------------ 4 n 2 7 4 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 6) 21 n n 13 n n 3 n (n - 1) (n - 6) 1163082087 n (n - 1) (n - 6) - -------------------------- - -------------------------------- 4 n 2 10 4 n 2 10 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 9 n n 8 n n 1452902346 n (n - 1) (n - 6) 1082398464 n (n - 1) (n - 6) - ------------------------------- + ------------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 12 n n 848093712 n (n - 1) (n - 6) 809295537 n (n - 1) (n - 6) - ------------------------------- + ------------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 7 n n 18 n n 484561440 n (n - 1) (n - 6) 24891 n (n - 1) (n - 6) - ------------------------------ + --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 19 n n 17 n n 702 n (n - 1) (n - 6) 598071 n (n - 1) (n - 6) - ------------------------- - ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 15 n n 14 n n 8235021 n (n - 1) (n - 6) 79371573 n (n - 1) (n - 6) - ----------------------------- + ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 16 n n 18 n 2 n 2577987 n (n - 1) (n - 6) 2718 n ((n - 1) ) (n - 4) + ----------------------------- + ----------------------------- 4 n 2 10 6 n 3 8 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 25839 n ((n - 1) ) (n - 4) 317925 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 1329237 n ((n - 1) ) (n - 4) 1927323 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 3876696 n ((n - 1) ) (n - 4) 5299488 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 4686120 n ((n - 1) ) (n - 4) 2409264 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 20 n 2 n 544320 n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 2 n 11 n 10 n 333 n ((n - 1) ) (n - 4) 3 n (n - 4) 78 n (n - 4) - ---------------------------- + -------------- - --------------- 6 n 3 8 n 7 n 7 2 (n - 1) (n ) (n - 4) n (n - 4) n (n - 4) 9 n 8 n 7 n 858 n (n - 4) 5208 n (n - 4) 19047 n (n - 4) + --------------- - ---------------- + ----------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 42882 n (n - 4) 57852 n (n - 4) 42552 n (n - 4) - ----------------- + ----------------- - ----------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 3 n 18 n 6 19 n 3 n 12960 n (n - 4) 1296 n ((n - 1) ) 2 n ((n - 1) ) (n - 2) + ----------------- + -------------------- - -------------------------- n 7 21 n 6 9 n 4 5 n (n - 4) (n - 1) (n ) (n - 1) (n ) (n - 2) 10 n n 9 n n 196771944 n (n - 1) (n - 5) 259534296 n (n - 1) (n - 5) + ------------------------------- - ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 225414144 n (n - 1) (n - 5) 115281792 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n n 26127360 n (n - 1) (n - 5) 4227 n (n - 1) (n - 5) + ----------------------------- - -------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 16 n n 15 n n 31614 n (n - 1) (n - 5) 626913 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 18 n n 19 n 3 n 84 n (n - 1) (n - 5) 183645 n ((n - 1) ) (n - 3) + ------------------------ - ------------------------------- 3 n 2 10 10 n 4 7 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 169893 n ((n - 1) ) (n - 3) 439029 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 792468 n ((n - 1) ) (n - 3) 979164 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 788400 n ((n - 1) ) (n - 3) 371952 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 77760 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ------------------------------ - -------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 72 n ((n - 1) ) (n - 3) 2043 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 21 n 2 n 8487 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 4) + ----------------------------- + -------------------------- 10 n 4 7 8 n 3 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 81 n ((n - 1) ) (n - 4) 5247 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 25281 n ((n - 1) ) (n - 4) 322983 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 8 n 3 7 8 n 3 7 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 360252 n ((n - 1) ) (n - 4) 4604337 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 5307021 n ((n - 1) ) (n - 4) 4378212 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 5039172 n ((n - 1) ) (n - 4) 3836484 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 1732104 n ((n - 1) ) (n - 4) 349920 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 7191 n ((n - 1) ) (n - 2) 58167 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 79605 n ((n - 1) ) (n - 2) 74628 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 94572 n ((n - 1) ) (n - 2) 77436 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 36936 n ((n - 1) ) (n - 2) 7776 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 450045 n ((n - 1) ) (n - 3) 547281 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 6 11 n 4 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 935424 n ((n - 1) ) (n - 3) 1100592 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 848232 n ((n - 1) ) (n - 3) 384912 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 77760 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ------------------------------ - -------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 261 n ((n - 1) ) (n - 3) 1692 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 11 n 4 6 11 n 4 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 12951 n ((n - 1) ) (n - 3) 130077 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 3 n (n - 1) (n - 2) 45 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 5 4 n 2 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) and in Maple notation 1/2*n^23*((n-1)^n)^5/(n-1)^18/(n^n)^5-19/2*n^22*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 157/2*n^21*((n-1)^n)^5/(n-1)^18/(n^n)^5-737/2*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^5 +1075*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^5-1996*n^18*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 2304*n^17*((n-1)^n)^5/(n-1)^18/(n^n)^5-1512*n^16*((n-1)^n)^5/(n-1)^18/(n^n)^5+ 1204161/8/(n^n)*n^11*(n-5)^n/(n-5)^10-3868767/4/(n^n)*n^10*(n-5)^n/(n-5)^10+ 35136521/8/(n^n)*n^9*(n-5)^n/(n-5)^10-56723877/4/(n^n)*n^8*(n-5)^n/(n-5)^10+ 64505623/2/(n^n)*n^7*(n-5)^n/(n-5)^10-50278011/(n^n)*n^6*(n-5)^n/(n-5)^10+ 50838984/(n^n)*n^5*(n-5)^n/(n-5)^10-29813616/(n^n)*n^4*(n-5)^n/(n-5)^10+7620480 /(n^n)*n^3*(n-5)^n/(n-5)^10-189/4/(n^n)*n^14*(n-5)^n/(n-5)^10+9107/8/(n^n)*n^13 *(n-5)^n/(n-5)^10-64659/4/(n^n)*n^12*(n-5)^n/(n-5)^10+7/8/(n^n)*n^15*(n-5)^n/(n -5)^10-7/8*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+147/8*n^20*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-9996*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n -2)^n/(n-2)^4+9261*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-4914*n^13* ((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+1134*n^12*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-2)^n/(n-2)^4-24507/8*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+ 54607/8*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4-679/4*n^19*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^4+3619/4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 2)^n/(n-2)^4-3/2*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+33*n^20*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-318*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4* (n-2)^n/(n-2)^5+1761*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-12345/2* n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+14190*n^16*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-2)^n/(n-2)^5-21372*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2 )^5+20304*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-11016*n^13*((n-1)^n )^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+2592*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 2)^n/(n-2)^5+21/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-567/8*n^18*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+209685/8*n^15*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^6-630735/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6 +323127/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-222537*n^12*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+196938*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^6-100926*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+22680*n^9* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+3381/4*n^17*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^6-23457/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-\ 45*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+591*n^17*((n-1)^n)^2/(n-1)^ 7/(n^n)^3*(n-3)^n/(n-3)^7-4476*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7 +43311/2*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-69951*n^14*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+152784*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3) ^n/(n-3)^7-222744*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+207288*n^11* ((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-111024*n^10*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-3)^n/(n-3)^7+25920*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+3/2* n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-21/8*n^17*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^8+399/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-13419/8* n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+32949/2*n^14*(n-1)^n/(n-1)^4/(n^n) ^2*(n-4)^n/(n-4)^8-839979/8*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+ 1823535/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-11004693/8*n^11*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+2883048*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^8-4109490*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+3788694*n^8*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-2028726*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^8+476280*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+43/2*n^16*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^9-407*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+4473 *n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-63369/2*n^13*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^9+303555/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-\ 501364*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+1141192*n^10*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^9-1752400*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+ 1726536*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-980064*n^7*(n-1)^n/(n-1)^3/ (n^n)^2*(n-4)^n/(n-4)^9+241920*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-1/2* n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-432*n^18*((n-1)^n)^6/(n-1)^20/(n^n )^6+2592*n^21*((n-1)^n)^7/(n-1)^24/(n^n)^7+31638939/4/(n^n)*n^10*(n-6)^n/(n-6)^ 10+259053462/(n^n)*n^6*(n-6)^n/(n-6)^10-243435888/(n^n)*n^5*(n-6)^n/(n-6)^10+ 176841699/2/(n^n)*n^8*(n-6)^n/(n-6)^10-123913011/4/(n^n)*n^9*(n-6)^n/(n-6)^10+ 134304480/(n^n)*n^4*(n-6)^n/(n-6)^10-177/4/(n^n)*n^15*(n-6)^n/(n-6)^10+3/4/(n^n )*n^16*(n-6)^n/(n-6)^10+4713/4/(n^n)*n^14*(n-6)^n/(n-6)^10+793179/4/(n^n)*n^12* (n-6)^n/(n-6)^10-5896431/4/(n^n)*n^11*(n-6)^n/(n-6)^10-74937/4/(n^n)*n^13*(n-6) ^n/(n-6)^10-181321773/(n^n)*n^7*(n-6)^n/(n-6)^10-32659200/(n^n)*n^3*(n-6)^n/(n-\ 6)^10+471*n^23*((n-1)^n)^6/(n-1)^20/(n^n)^6-1305*n^22*((n-1)^n)^6/(n-1)^20/(n^n )^6+2304*n^21*((n-1)^n)^6/(n-1)^20/(n^n)^6-2532*n^20*((n-1)^n)^6/(n-1)^20/(n^n) ^6+1584*n^19*((n-1)^n)^6/(n-1)^20/(n^n)^6-3/4*n^26*((n-1)^n)^6/(n-1)^20/(n^n)^6 +27/2*n^25*((n-1)^n)^6/(n-1)^20/(n^n)^6-423/4*n^24*((n-1)^n)^6/(n-1)^20/(n^n)^6 +342027/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-2136519/8*n^18*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+9832983/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-5)^n/(n-5)^8-33869991/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+ 43864791/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-21249633*n^14*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+30309552*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-5)^n/(n-5)^8-30838374*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+ 21137436*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-8724672*n^10*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+1632960*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 5)^n/(n-5)^8+3021/8*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-39117/8*n^ 20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+3/8*n^23*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^8-141/8*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+ 50448*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-22104*n^19*((n-1)^n)^5/ (n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+59910*n^22*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^ n/(n-2)^6-67890*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+4320*n^18*((n -1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-72837/2*n^23*((n-1)^n)^5/(n-1)^16/(n^ n)^6*(n-2)^n/(n-2)^6+1935/2*n^26*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-\ 37407/8*n^25*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+15564*n^24*((n-1)^n)^ 5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+21/2*n^28*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2) ^n/(n-2)^6-525/4*n^27*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-3/8*n^29*((n -1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-174477*n^22*((n-1)^n)^4/(n-1)^13/(n^n )^5*(n-3)^n/(n-3)^7+519210*n^21*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-\ 1113684*n^20*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+1709400*n^19*((n-1)^n )^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-1831152*n^18*((n-1)^n)^4/(n-1)^13/(n^n)^5* (n-3)^n/(n-3)^7+1299168*n^17*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-\ 547776*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+103680*n^15*((n-1)^n)^ 4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+3/2*n^27*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^ n/(n-3)^7-51*n^26*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+777*n^25*((n-1)^ n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-7020*n^24*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n -3)^n/(n-3)^7-2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+24*n^10*(n-1)^n/(n -1)^3/(n^n)^2*(n-2)^n/(n-2)^5-110*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+ 240*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-248*n^7*(n-1)^n/(n-1)^3/(n^n)^2 *(n-2)^n/(n-2)^5+96*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+83847/2*n^23*(( n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-608931/4*n^21*((n-1)^n)^3/(n-1)^10/( n^n)^4*(n-4)^n/(n-4)^8+1614465/2*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4 )^8-12408381/4*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+8750511*n^18*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-18123453*n^17*((n-1)^n)^3/(n-1)^10/ (n^n)^4*(n-4)^n/(n-4)^8+27221868*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4 )^8-28818396*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+20353680*n^14*(( n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-8588592*n^13*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-4)^n/(n-4)^8+1632960*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8 +189/2*n^24*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-7155/4*n^23*((n-1)^n)^ 3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+20214*n^22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4 )^n/(n-4)^8-9/4*n^25*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+3*n^24*((n-1) ^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-63*n^23*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-\ 2)^n/(n-2)^5+579*n^22*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-3057*n^21*(( n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5+10218*n^20*((n-1)^n)^4/(n-1)^13/(n^n )^5*(n-2)^n/(n-2)^5-22416*n^19*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5+ 32256*n^18*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-29328*n^17*((n-1)^n)^4/ (n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5+15264*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^ n/(n-2)^5-3456*n^15*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-76509/2*n^18*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+110259*n^17*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-3)^n/(n-3)^6-216504*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+ 285912*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-242856*n^14*((n-1)^n)^ 3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+119664*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-\ 3)^n/(n-3)^6-25920*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-9/2*n^22*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+117*n^21*((n-1)^n)^3/(n-1)^10/(n^n) ^4*(n-3)^n/(n-3)^6-1341*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+8928* n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+3*n^20*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-4)^n/(n-4)^7-99*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+1452* n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-12498*n^17*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-4)^n/(n-4)^7+70167*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7 -269835*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+725274*n^14*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-1362192*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4 )^n/(n-4)^7+1751040*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-1465776*n^ 11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+717984*n^10*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-4)^n/(n-4)^7-155520*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-\ 2373/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+6624*n^15*(n-1)^n/(n-1)^4/( n^n)^2*(n-5)^n/(n-5)^8-195309/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+ 500499/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-3656139/4*n^12*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^8+2395827*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5 )^8-4469052*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+5779044*n^9*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^8-4909572*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5) ^8+2454624*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-544320*n^6*(n-1)^n/(n-1) ^4/(n^n)^2*(n-5)^n/(n-5)^8-3/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+63/ 2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-11436*n^17*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-2)^n/(n-2)^6+1/8*n^27*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-\ 19/4*n^26*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+321/4*n^25*((n-1)^n)^4/( n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-1595/2*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^ n/(n-3)^8+41569/8*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-93627/4*n^ 22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+149651/2*n^21*((n-1)^n)^4/(n-1) ^12/(n^n)^5*(n-3)^n/(n-3)^8-171203*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n -3)^8+278490*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-314276*n^18*((n-\ 1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+233608*n^17*((n-1)^n)^4/(n-1)^12/(n^n) ^5*(n-3)^n/(n-3)^8-102672*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+ 20160*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+6187*n^22*((n-1)^n)^3/( n-1)^9/(n^n)^4*(n-4)^n/(n-4)^9-102409/2*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^ n/(n-4)^9+592815/2*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^9-1235212*n^ 19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^9+3753758*n^18*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-4)^n/(n-4)^9-8322624*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4) ^9+9/4*n^27*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-279/4*n^26*((n-1)^n)^4 /(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6+1953/2*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3 )^n/(n-3)^6-16335/2*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6+181881/4* n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-710199/4*n^22*((n-1)^n)^4/(n-\ 1)^14/(n^n)^5*(n-3)^n/(n-3)^6-3/2*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-\ 4)^7+57*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7-1965/2*n^23*((n-1)^n) ^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+10176*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 4)^n/(n-4)^7-141369/2*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+347829* n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7-2495451/2*n^19*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-4)^n/(n-4)^7+3303786*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^ n/(n-4)^7-6456822*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+9197064*n^ 16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7-9276552*n^15*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-4)^n/(n-4)^7+6270048*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n -4)^7-2542752*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+466560*n^12*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7-1/8*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-4)^n/(n-4)^6+35/8*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6-551725/ 8*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6+1387625/8*n^18*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6-1293185/4*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n -4)^n/(n-4)^6+440850*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6-427212*n ^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6+278370*n^14*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^6-109188*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-\ 4)^6+19440*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6-35105/8*n^21*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6+162625/8*n^20*((n-1)^n)^3/(n-1)^12/(n^n )^4*(n-4)^n/(n-4)^6-559/8*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6+ 5395/8*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^6-70236*n^21*((n-1)^n)^5 /(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^4+49572*n^20*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2) ^n/(n-2)^4-20736*n^19*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^4+3888*n^18*(( n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^4-3/4*n^29*((n-1)^n)^5/(n-1)^18/(n^n)^ 6*(n-2)^n/(n-2)^4+75/4*n^28*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^4-423/2* n^27*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^4+2841/2*n^26*((n-1)^n)^5/(n-1) ^18/(n^n)^6*(n-2)^n/(n-2)^4-25239/4*n^25*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/( n-2)^4+77823/4*n^24*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^4-42474*n^23*((n -1)^n)^5/(n-1)^18/(n^n)^6*(n-2)^n/(n-2)^4+65613*n^22*((n-1)^n)^5/(n-1)^18/(n^n) ^6*(n-2)^n/(n-2)^4-29/2*n^26*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5+191*n ^25*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5+1/2*n^27*((n-1)^n)^4/(n-1)^15/ (n^n)^5*(n-3)^n/(n-3)^5-1511*n^24*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5+ 15989/2*n^23*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5-59593/2*n^22*((n-1)^n )^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5+80198*n^21*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n -3)^n/(n-3)^5-157006*n^20*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5+221792*n ^19*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5-220344*n^18*((n-1)^n)^4/(n-1)^ 15/(n^n)^5*(n-3)^n/(n-3)^5+146016*n^17*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-\ 3)^5-57888*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5+10368*n^15*((n-1)^ n)^4/(n-1)^15/(n^n)^5*(n-3)^n/(n-3)^5-273/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^ n/(n-2)^5+855/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-363*n^8*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-2)^n/(n-2)^5+315*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-\ 108*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+3/2*n^23*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-5)^n/(n-5)^9+3681/2*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-\ 78*n^22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-31080333*n^16*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+86103756*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^ n/(n-5)^9-177605592*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+268409688* n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-288030096*n^12*((n-1)^n)^2/(n-\ 1)^7/(n^n)^3*(n-5)^n/(n-5)^9+207287424*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n /(n-5)^9-89434368*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+17418240*n^9 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+498237/2*n^19*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-5)^n/(n-5)^9-1689012*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^ 9+16791063/2*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-26121*n^20*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+4616*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n /(n-4)^7-19642*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+53984*n^10*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-95744*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4) ^7+105504*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-65376*n^7*(n-1)^n/(n-1)^3 /(n^n)^2*(n-4)^n/(n-4)^7+17280*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+675* n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-15861/2*n^18*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-4)^n/(n-4)^9+243783/4*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n -4)^9-1290879/4*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+2414757/2*n^15 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-3215880*n^14*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^9+6052176*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9 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-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+114*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-\ 894*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+3750*n^10*(n-1)^n/(n-1)^3/(n^n )^2*(n-3)^n/(n-3)^6-9084*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+12696*n^8* (n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-9456*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^ n/(n-3)^6+2880*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+1/2*n^21*((n-1)^n)^5 /(n-1)^16/(n^n)^5-13/2*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^5+35*n^19*((n-1)^n)^5/(n -1)^16/(n^n)^5-100*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^5+160*n^17*((n-1)^n)^5/(n-1) ^16/(n^n)^5-136*n^16*((n-1)^n)^5/(n-1)^16/(n^n)^5+1/2/(n^n)*n^13*(n-5)^n/(n-5)^ 8-37/2/(n^n)*n^12*(n-5)^n/(n-5)^8+300/(n^n)*n^11*(n-5)^n/(n-5)^8-2805/(n^n)*n^ 10*(n-5)^n/(n-5)^8+33453/2/(n^n)*n^9*(n-5)^n/(n-5)^8-132741/2/(n^n)*n^8*(n-5)^n /(n-5)^8+177145/(n^n)*n^7*(n-5)^n/(n-5)^8-313270/(n^n)*n^6*(n-5)^n/(n-5)^8+ 350148/(n^n)*n^5*(n-5)^n/(n-5)^8-222336/(n^n)*n^4*(n-5)^n/(n-5)^8+60480/(n^n)*n ^3*(n-5)^n/(n-5)^8+225/2*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-9/4*n^19* (n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-34992369/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2 *(n-5)^n/(n-5)^9+29124315*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-70907004 *n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+124594380*n^10*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^9-153425772*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+ 125193600*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-60543936*n^7*(n-1)^n/(n-1 )^4/(n^n)^2*(n-5)^n/(n-5)^9+13063680*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 9+34110*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-1221831/4*n^15*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-5)^n/(n-5)^9+3845205/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-\ 5)^9-10143/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+3/4*n^31*((n-1)^n)^7/ (n-1)^24/(n^n)^7-69/4*n^30*((n-1)^n)^7/(n-1)^24/(n^n)^7+711/4*n^29*((n-1)^n)^7/ (n-1)^24/(n^n)^7-4323/4*n^28*((n-1)^n)^7/(n-1)^24/(n^n)^7+8589/2*n^27*((n-1)^n) 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1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^10+26127360*n^9*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-5)^n/(n-5)^10-35841/2*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^10+ 753369/4*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^10-3/2*n^29*((n-1)^n)^5 /(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^5+39*n^28*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/ (n-2)^5-456*n^27*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^5+3165*n^26*((n-1)^ n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^5-28977/2*n^25*((n-1)^n)^5/(n-1)^17/(n^n)^6 *(n-2)^n/(n-2)^5+45924*n^24*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^5-102822 *n^23*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^5+162552*n^22*((n-1)^n)^5/(n-1 )^17/(n^n)^6*(n-2)^n/(n-2)^5-177720*n^21*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/( n-2)^5+127872*n^20*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^5-54432*n^19*((n-\ 1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^5+10368*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^ 6*(n-2)^n/(n-2)^5+498663*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-\ 1014993*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6+1485720*n^19*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-1524708*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5* (n-3)^n/(n-3)^6+1040688*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-\ 423792*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6+77760*n^15*((n-1)^n)^4 /(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-2801025/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -5)^n/(n-5)^10+4563/4*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^10-2163/2* n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+5628*n^11*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^6-71169/4*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+69909/2*n^ 9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-41601*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 3)^n/(n-3)^6+27342*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-7560*n^6*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6-87/2*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/ (n-5)^10+3/4*n^23*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^10-21/4*n^14*(n-1)^ n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^6+231/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n -3)^6-3*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+75*n^13*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^7-789*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+4557*n^ 11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-15792*n^10*(n-1)^n/(n-1)^3/(n^n)^2*( n-3)^n/(n-3)^7-1/2*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11-412236385*n^13 *(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11-5491069584*n^9*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-6)^n/(n-6)^11+4342020480*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11-\ 2802221152*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11+1241291348*n^12*(n-1)^ n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11-2052000000*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-6) ^n/(n-6)^11+71/2*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11+45011/2*n^18*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11-2299/2*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-6) ^n/(n-6)^11-595561/2*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11-39419897/2*n ^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11+207169633/2*n^14*(n-1)^n/(n-1)^3/( n^n)^2*(n-6)^n/(n-6)^11+5637773/2*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11 +4652341928*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11+435456000*n^6*(n-1)^n /(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^11+33600*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-\ 3)^7-42816*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+29808*n^7*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-3)^n/(n-3)^7-8640*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+1/8/ (n^n)*n^13*(n-4)^n/(n-4)^9-41/8/(n^n)*n^12*(n-4)^n/(n-4)^9+183/2/(n^n)*n^11*(n-\ 4)^n/(n-4)^9-3741/4/(n^n)*n^10*(n-4)^n/(n-4)^9+48405/8/(n^n)*n^9*(n-4)^n/(n-4)^ 9-206745/8/(n^n)*n^8*(n-4)^n/(n-4)^9+294619/4/(n^n)*n^7*(n-4)^n/(n-4)^9-275977/ 2/(n^n)*n^6*(n-4)^n/(n-4)^9+162123/(n^n)*n^5*(n-4)^n/(n-4)^9-107388/(n^n)*n^4*( n-4)^n/(n-4)^9+30240/(n^n)*n^3*(n-4)^n/(n-4)^9-9/2*n^20*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-2)^n/(n-2)^5+171/2*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-\ 1395/2*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+6381/2*n^17*((n-1)^n)^ 3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-8946*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2) ^n/(n-2)^5+15732*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-16920*n^14*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5+10152*n^13*((n-1)^n)^3/(n-1)^10/(n^ n)^4*(n-2)^n/(n-2)^5-2592*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-2)^n/(n-2)^5-\ 13356*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+49797*n^14*((n-1)^n)^2/( n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-120924*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/ (n-3)^6+191160*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-189504*n^11*((n -1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+106704*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-3)^n/(n-3)^6-25920*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6+9*n^18* ((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-216*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-3)^n/(n-3)^6-5184*n^19*((n-1)^n)^6/(n-1)^21/(n^n)^6-3/4*n^27*((n-1)^n)^6/( n-1)^21/(n^n)^6+63/4*n^26*((n-1)^n)^6/(n-1)^21/(n^n)^6-585/4*n^25*((n-1)^n)^6/( n-1)^21/(n^n)^6+3153/4*n^24*((n-1)^n)^6/(n-1)^21/(n^n)^6-2718*n^23*((n-1)^n)^6/ (n-1)^21/(n^n)^6+6219*n^22*((n-1)^n)^6/(n-1)^21/(n^n)^6-9444*n^21*((n-1)^n)^6/( n-1)^21/(n^n)^6+9180*n^20*((n-1)^n)^6/(n-1)^21/(n^n)^6-3603285/2/(n^n)*n^9*(n-5 )^n/(n-5)^9+6372981/(n^n)*n^8*(n-5)^n/(n-5)^9-15573870/(n^n)*n^7*(n-5)^n/(n-5)^ 9+25706772/(n^n)*n^6*(n-5)^n/(n-5)^9-27211680/(n^n)*n^5*(n-5)^n/(n-5)^9+ 16552512/(n^n)*n^4*(n-5)^n/(n-5)^9-4354560/(n^n)*n^3*(n-5)^n/(n-5)^9-405/2/(n^n )*n^13*(n-5)^n/(n-5)^9+4032/(n^n)*n^12*(n-5)^n/(n-5)^9-46845/(n^n)*n^11*(n-5)^n /(n-5)^9+9/2/(n^n)*n^14*(n-5)^n/(n-5)^9-3/2*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^ n/(n-5)^10+1313316918*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10+97977600*n^ 6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10-3*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5) ^n/(n-5)^9+1671093*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9-6650844*n^12*(n 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^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+3/4/(n^n)*n^10*(n-3)^n/(n-3)^7-69/4/(n^n)*n^ 9*(n-3)^n/(n-3)^7+651/4/(n^n)*n^8*(n-3)^n/(n-3)^7-3255/4/(n^n)*n^7*(n-3)^n/(n-3 )^7+4641/2/(n^n)*n^6*(n-3)^n/(n-3)^7-3759/(n^n)*n^5*(n-3)^n/(n-3)^7+3186/(n^n)* n^4*(n-3)^n/(n-3)^7-1080/(n^n)*n^3*(n-3)^n/(n-3)^7+315*n^15*(n-1)^n/(n-1)^3/(n^ n)^2*(n-4)^n/(n-4)^8-4806*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+42066*n^ 13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-233793*n^12*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^8+861651*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-2131344*n^ 10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+3490704*n^9*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^8-3617568*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+2137104*n^7 *(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-544320*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 4)^n/(n-4)^8-9*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+432*n^15*((n-1)^n)^ 5/(n-1)^18/(n^n)^5+704997/2/(n^n)*n^10*(n-5)^n/(n-5)^9+1/2*(n-2)^n/(n-2)^5/(n^n 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2)^n/(n-2)^6-69/4*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+687/4*n^22* ((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6-3891/4*n^21*((n-1)^n)^4/(n-1)^12/( n^n)^5*(n-2)^n/(n-2)^6+3/4*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+ 8013*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-37176*n^18*((n-1)^n)^3/(n -1)^9/(n^n)^4*(n-3)^n/(n-3)^7+114996*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/( n-3)^7-240384*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7+335472*n^15*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-299136*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-3)^n/(n-3)^7+153792*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-34560* n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-3*n^22*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-3)^n/(n-3)^7+87*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-1101*n ^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7+7/2/(n^n)*n^9*(n-3)^n/(n-3)^6-\ 119/2/(n^n)*n^8*(n-3)^n/(n-3)^6+805/2/(n^n)*n^7*(n-3)^n/(n-3)^6-2765/2/(n^n)*n^ 6*(n-3)^n/(n-3)^6+2534/(n^n)*n^5*(n-3)^n/(n-3)^6-2338/(n^n)*n^4*(n-3)^n/(n-3)^6 +840/(n^n)*n^3*(n-3)^n/(n-3)^6-440302401/4/(n^n)*n^10*(n-6)^n/(n-6)^11-\ 2833970508/(n^n)*n^6*(n-6)^n/(n-6)^11+2568663360/(n^n)*n^5*(n-6)^n/(n-6)^11-\ 1065530268/(n^n)*n^8*(n-6)^n/(n-6)^11+398203377/(n^n)*n^9*(n-6)^n/(n-6)^11-\ 1375704000/(n^n)*n^4*(n-6)^n/(n-6)^11+3/4/(n^n)*n^17*(n-6)^n/(n-6)^11+6483/4/(n ^n)*n^15*(n-6)^n/(n-6)^11-207/4/(n^n)*n^16*(n-6)^n/(n-6)^11-122067/4/(n^n)*n^14 *(n-6)^n/(n-6)^11-13828221/4/(n^n)*n^12*(n-6)^n/(n-6)^11+90603249/4/(n^n)*n^11* (n-6)^n/(n-6)^11+1542549/4/(n^n)*n^13*(n-6)^n/(n-6)^11+2072271192/(n^n)*n^7*(n-\ 6)^n/(n-6)^11+326592000/(n^n)*n^3*(n-6)^n/(n-6)^11+21/4/(n^n)*n^12*(n-4)^n/(n-4 )^8-693/4/(n^n)*n^11*(n-4)^n/(n-4)^8+2457/(n^n)*n^10*(n-4)^n/(n-4)^8-39249/2/(n ^n)*n^9*(n-4)^n/(n-4)^8+388521/4/(n^n)*n^8*(n-4)^n/(n-4)^8-1233477/4/(n^n)*n^7* (n-4)^n/(n-4)^8+1253091/2/(n^n)*n^6*(n-4)^n/(n-4)^8-783153/(n^n)*n^5*(n-4)^n/(n -4)^8+543942/(n^n)*n^4*(n-4)^n/(n-4)^8-158760/(n^n)*n^3*(n-4)^n/(n-4)^8-1/8*n^ 19*((n-1)^n)^4/(n-1)^15/(n^n)^4+17/8*n^18*((n-1)^n)^4/(n-1)^15/(n^n)^4-123/8*n^ 17*((n-1)^n)^4/(n-1)^15/(n^n)^4+491/8*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^4-146*n^ 15*((n-1)^n)^4/(n-1)^15/(n^n)^4+207*n^14*((n-1)^n)^4/(n-1)^15/(n^n)^4-162*n^13* ((n-1)^n)^4/(n-1)^15/(n^n)^4-20495/2/(n^n)*n^16*(n-7)^n/(n-7)^12-2004499/(n^n)* n^14*(n-7)^n/(n-7)^12-241101685/2/(n^n)*n^12*(n-7)^n/(n-7)^12+5019256253/8/(n^n )*n^11*(n-7)^n/(n-7)^12+17812135/(n^n)*n^13*(n-7)^n/(n-7)^12+31252676778/(n^n)* n^7*(n-7)^n/(n-7)^12+3592512000/(n^n)*n^3*(n-7)^n/(n-7)^12+1/8/(n^n)*n^19*(n-7) ^n/(n-7)^12-10066651529/4/(n^n)*n^10*(n-7)^n/(n-7)^12-38680839108/(n^n)*n^6*(n-\ 7)^n/(n-7)^12+32207556960/(n^n)*n^5*(n-7)^n/(n-7)^12-18064596410/(n^n)*n^8*(n-7 )^n/(n-7)^12+7744618105/(n^n)*n^9*(n-7)^n/(n-7)^12-16058088000/(n^n)*n^4*(n-7)^ n/(n-7)^12-43/4/(n^n)*n^18*(n-7)^n/(n-7)^12+425/(n^n)*n^17*(n-7)^n/(n-7)^12+ 674261/4/(n^n)*n^15*(n-7)^n/(n-7)^12+3/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2) ^n/(n-2)^5-15/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+129/2*n^15*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-1245/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-2)^n/(n-2)^5+7365/8*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-6825/ 4*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+3861/2*n^11*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-2)^n/(n-2)^5-1215*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2) ^5+324*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-3/8*n^15*(n-1)^n/(n-1)^4 /(n^n)^2*(n-3)^n/(n-3)^7+21/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-507/ 4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+1731/2*n^12*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^7-29463/8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+10122* n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-17952*n^9*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^7+19782*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-12258*n^7*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+3240*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^7+48*n^15*((n-1)^n)^5/(n-1)^16/(n^n)^5+2817/2*n^16*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-3)^n/(n-3)^7-18405/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+ 37359*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-97776*n^13*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+165024*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^7-173160*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+102384*n^10*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-25920*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-3)^n/(n-3)^7+9/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-243/2*n^17 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+2250*n^16*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-3)^n/(n-3)^6-9/2*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7+279/2*n^15 *(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-1899*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4 )^n/(n-4)^7+14949*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^7-150705/2*n^12*(n 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3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-979164*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-\ 3)^n/(n-3)^7+788400*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-371952*n^ 13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+77760*n^12*((n-1)^n)^3/(n-1)^10 /(n^n)^4*(n-3)^n/(n-3)^7-9/4*n^23*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+ 72*n^22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-2043/2*n^21*((n-1)^n)^3/(n -1)^10/(n^n)^4*(n-3)^n/(n-3)^7+8487*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/( n-3)^7+9/4*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-81*n^20*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+5247/4*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^ n/(n-4)^7-25281/2*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+322983/4*n^ 17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-360252*n^16*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-4)^n/(n-4)^7+4604337/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4 )^7-5307021/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+4378212*n^13*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-5039172*n^12*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-4)^n/(n-4)^7+3836484*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-\ 1732104*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+349920*n^9*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-7191/2*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2) ^n/(n-2)^5+58167/4*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-79605/2*n^ 20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+74628*n^19*((n-1)^n)^4/(n-1)^14 /(n^n)^5*(n-2)^n/(n-2)^5-94572*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^ 5+77436*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-36936*n^16*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+7776*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2) ^n/(n-2)^5+450045/2*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-547281*n^ 17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+935424*n^16*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-3)^n/(n-3)^6-1100592*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n -3)^6+848232*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-384912*n^13*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+77760*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^ 4*(n-3)^n/(n-3)^6-9/2*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+261/2*n ^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-1692*n^21*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-3)^n/(n-3)^6+12951*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^ 6-130077/2*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-3/4*n^12*(n-1)^n/( n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+45/4*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^ 5 The, 4, 4, mixed moment of, X[2], and , X[3], is 21 n 7 11 n 10 n 3888 n ((n - 1) ) 3612483 n (n - 5) 11606301 n (n - 5) - -------------------- + -------------------- - --------------------- 25 n 7 n 10 n 10 (n - 1) (n ) 4 n (n - 5) 2 n (n - 5) 9 n 8 n 7 n 105409563 n (n - 5) 170171631 n (n - 5) 193516869 n (n - 5) + --------------------- - --------------------- + --------------------- n 10 n 10 n 10 4 n (n - 5) 2 n (n - 5) n (n - 5) 6 n 5 n 4 n 301668066 n (n - 5) 305033904 n (n - 5) 178881696 n (n - 5) - --------------------- + --------------------- - --------------------- n 10 n 10 n 10 n (n - 5) n (n - 5) n (n - 5) 3 n 14 n 13 n 45722880 n (n - 5) 567 n (n - 5) 27321 n (n - 5) + -------------------- - ---------------- + ------------------ n 10 n 10 n 10 n (n - 5) 2 n (n - 5) 4 n (n - 5) 12 n 15 n 21 n 3 n 193977 n (n - 5) 21 n (n - 5) 3 n ((n - 1) ) (n - 2) - ------------------- + --------------- - -------------------------- n 10 n 10 11 n 4 5 2 n (n - 5) 4 n (n - 5) (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 66 n ((n - 1) ) (n - 2) 636 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 3522 n ((n - 1) ) (n - 2) 12345 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 28380 n ((n - 1) ) (n - 2) 42744 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 40608 n ((n - 1) ) (n - 2) 22032 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 11 n 4 5 11 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 19 n 2 n 5184 n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 3) + ----------------------------- + --------------------------- 11 n 4 5 8 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 18 n 2 n 15 n 2 n 567 n ((n - 1) ) (n - 3) 209685 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------- 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 630735 n ((n - 1) ) (n - 3) 323127 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 6 8 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 445074 n ((n - 1) ) (n - 3) 393876 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 201852 n ((n - 1) ) (n - 3) 45360 n ((n - 1) ) (n - 3) - ------------------------------- + ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3381 n ((n - 1) ) (n - 3) 23457 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 180 n ((n - 1) ) (n - 3) 2364 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 17904 n ((n - 1) ) (n - 3) 86622 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 279804 n ((n - 1) ) (n - 3) 611136 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 890976 n ((n - 1) ) (n - 3) 829152 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 444096 n ((n - 1) ) (n - 3) 103680 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 17 n n 6 n ((n - 1) ) (n - 3) 21 n (n - 1) (n - 4) + -------------------------- - ------------------------- 7 n 3 7 4 n 2 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 16 n n 15 n n 399 n (n - 1) (n - 4) 13419 n (n - 1) (n - 4) + ------------------------- - --------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 65898 n (n - 1) (n - 4) 839979 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n n 11 n n 1823535 n (n - 1) (n - 4) 11004693 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 10 n n 9 n n 11532192 n (n - 1) (n - 4) 16437960 n (n - 1) (n - 4) + ------------------------------ - ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 15154776 n (n - 1) (n - 4) 8114904 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 16 n n 1905120 n (n - 1) (n - 4) 129 n (n - 1) (n - 4) + ---------------------------- + ------------------------- 4 n 2 8 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n n 14 n n 2442 n (n - 1) (n - 4) 26838 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 190107 n (n - 1) (n - 4) 910665 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 3008184 n (n - 1) (n - 4) 6847152 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 10514400 n (n - 1) (n - 4) 10359216 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 5880384 n (n - 1) (n - 4) 1451520 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 18 n 6 3 n (n - 1) (n - 4) 1296 n ((n - 1) ) - ----------------------- - -------------------- 3 n 2 9 22 n 6 (n - 1) (n ) (n - 4) (n - 1) (n ) 18 n 4 n 17 n 4 n 111195 n ((n - 1) ) (n - 2) 40635 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 16 n 5 4 16 n 5 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 17577 n ((n - 1) ) (n - 2) 3402 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 16 n 5 4 16 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 7 n ((n - 1) ) (n - 2) 91 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 2135 n ((n - 1) ) (n - 2) 7455 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 68845 n ((n - 1) ) (n - 2) 110285 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 500045 n ((n - 1) ) (n - 2) 400785 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 16 n 5 4 16 n 5 4 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 2) 27 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 328 n ((n - 1) ) (n - 2) 2366 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 11257 n ((n - 1) ) (n - 2) 37079 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 86238 n ((n - 1) ) (n - 2) 141536 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 160512 n ((n - 1) ) (n - 2) 119664 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 52704 n ((n - 1) ) (n - 2) 10368 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 5 5 15 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 1901431 n ((n - 1) ) (n - 3) 2004541 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1519336 n ((n - 1) ) (n - 3) 1613892 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1139292 n ((n - 1) ) (n - 3) 479304 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 16 n 3 n 90720 n ((n - 1) ) (n - 3) 10657 n ((n - 1) ) (n - 2) - ------------------------------ - ------------------------------ 12 n 4 6 12 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 14070 n ((n - 1) ) (n - 2) 11988 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 5940 n ((n - 1) ) (n - 2) 1296 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 4 5 12 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 139 n ((n - 1) ) (n - 2) 905 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 5 12 n 4 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 7637 n ((n - 1) ) (n - 2) 21805 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 4 5 12 n 4 5 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 7 n ((n - 1) ) (n - 3) 56 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 3241 n ((n - 1) ) (n - 3) 14021 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 161609 n ((n - 1) ) (n - 3) 163387 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 12 n 4 6 12 n 4 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 410169 n ((n - 1) ) (n - 3) 632472 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 1406370 n ((n - 1) ) (n - 3) 2237712 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 2483928 n ((n - 1) ) (n - 3) 1824768 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 795744 n ((n - 1) ) (n - 3) 155520 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 3 n ((n - 1) ) (n - 3) 105 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 825 n ((n - 1) ) (n - 3) 7701 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 16 n 2 n 95163 n ((n - 1) ) (n - 3) 70167 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 11 n 4 7 8 n 3 7 2 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 269835 n ((n - 1) ) (n - 3) 362637 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 170274 n ((n - 1) ) (n - 3) 218880 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 183222 n ((n - 1) ) (n - 3) 89748 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 19440 n ((n - 1) ) (n - 3) 1579473 n ((n - 1) ) (n - 4) - ----------------------------- + -------------------------------- 8 n 3 7 8 n 3 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 8637741 n ((n - 1) ) (n - 4) 34279917 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 99970269 n ((n - 1) ) (n - 4) 107112999 n ((n - 1) ) (n - 4) - --------------------------------- + ---------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 41634432 n ((n - 1) ) (n - 4) 45629136 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 33352074 n ((n - 1) ) (n - 4) 14553756 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 21 n 2 n 2857680 n ((n - 1) ) (n - 4) 903 n ((n - 1) ) (n - 4) - ------------------------------- - ---------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 17535 n ((n - 1) ) (n - 4) 203679 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 21 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 8 n 3 8 8 n 3 7 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 99 n ((n - 1) ) (n - 3) 363 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 18 n 6 6249 n ((n - 1) ) (n - 3) 576 n ((n - 1) ) - ----------------------------- - ------------------- 8 n 3 7 20 n 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) 21 n 7 15 n 4 n 2592 n ((n - 1) ) 9797760 n ((n - 1) ) (n - 4) + -------------------- - -------------------------------- 24 n 7 14 n 5 8 (n - 1) (n ) (n - 1) (n ) (n - 4) 27 n 4 n 26 n 4 n 118899 n ((n - 1) ) (n - 4) 1056141 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 14 n 5 8 14 n 5 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 25 n 4 n 28 n 4 n 6758721 n ((n - 1) ) (n - 4) 9099 n ((n - 1) ) (n - 4) - -------------------------------- + ----------------------------- 14 n 5 8 14 n 5 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 26 n 3 n 27 n 3 n 4479 n ((n - 1) ) (n - 5) 171 n ((n - 1) ) (n - 5) - ----------------------------- + ---------------------------- 11 n 4 9 11 n 4 9 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 28 n 3 n 24 n 3 n 3 n ((n - 1) ) (n - 5) 781533 n ((n - 1) ) (n - 5) - -------------------------- - ------------------------------- 11 n 4 9 11 n 4 9 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 25 n 3 n 19 n 3 n 71583 n ((n - 1) ) (n - 5) 794606370 n ((n - 1) ) (n - 5) + ------------------------------ + ---------------------------------- 11 n 4 9 11 n 4 9 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 3 n 1673060184 n ((n - 1) ) (n - 5) - ----------------------------------- 11 n 4 9 (n - 1) (n ) (n - 5) 17 n 3 n 2695712088 n ((n - 1) ) (n - 5) + ----------------------------------- 11 n 4 9 (n - 1) (n ) (n - 5) 16 n 3 n 3257896032 n ((n - 1) ) (n - 5) - ----------------------------------- 11 n 4 9 (n - 1) (n ) (n - 5) 15 n 3 n 2854052064 n ((n - 1) ) (n - 5) + ----------------------------------- 11 n 4 9 (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 1708314624 n ((n - 1) ) (n - 5) 623697408 n ((n - 1) ) (n - 5) - ----------------------------------- + ---------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 3 n 22 n 3 n 104509440 n ((n - 1) ) (n - 5) 36670605 n ((n - 1) ) (n - 5) - ---------------------------------- - --------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 21 n 3 n 20 n 3 n 166384125 n ((n - 1) ) (n - 5) 291878610 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 11 n 4 9 11 n 4 9 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 23 n 3 n 26 n 3 n 6182661 n ((n - 1) ) (n - 5) 9 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------- 11 n 4 9 11 n 4 8 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 5055723 n ((n - 1) ) (n - 4) 22095171 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 11 n 4 8 11 n 4 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 72227187 n ((n - 1) ) (n - 4) 88749972 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 11 n 4 8 11 n 4 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 163184454 n ((n - 1) ) (n - 4) 220968000 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 11 n 4 8 11 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 213617736 n ((n - 1) ) (n - 4) 139299264 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 11 n 4 8 11 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 54797472 n ((n - 1) ) (n - 4) 9797760 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 11 n 4 8 11 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 8289 n ((n - 1) ) (n - 4) 102321 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 11 n 4 8 11 n 4 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 22 n 3 n 25 n 3 n 851499 n ((n - 1) ) (n - 4) 405 n ((n - 1) ) (n - 4) - ------------------------------- + ---------------------------- 11 n 4 8 11 n 4 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 23 n 2 n 24 n 2 n 495 n ((n - 1) ) (n - 5) 9 n ((n - 1) ) (n - 5) - ---------------------------- + -------------------------- 8 n 3 9 8 n 3 9 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 21 n 2 n 22 n 2 n 189855 n ((n - 1) ) (n - 5) 12447 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------ 8 n 3 9 8 n 3 9 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 538034265 n ((n - 1) ) (n - 5) 653875290 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 8 n 3 9 8 n 3 9 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 1201839696 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 9 (n - 1) (n ) (n - 5) 13 n 2 n 1639888740 n ((n - 1) ) (n - 5) - ----------------------------------- 8 n 3 9 (n - 1) (n ) (n - 5) 12 n 2 n 1607066568 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 9 (n - 1) (n ) (n - 5) 11 n 2 n 10 n 1066944960 n ((n - 1) ) (n - 5) 73824191 n (n - 6) - ----------------------------------- + --------------------- 8 n 3 9 n 10 (n - 1) (n ) (n - 5) 4 n (n - 6) 6 n 5 n 8 n 604458078 n (n - 6) 568017072 n (n - 6) 412630631 n (n - 6) + --------------------- - --------------------- + --------------------- n 10 n 10 n 10 n (n - 6) n (n - 6) 2 n (n - 6) 9 n 4 n 15 n 289130359 n (n - 6) 313377120 n (n - 6) 413 n (n - 6) - --------------------- + --------------------- - ---------------- n 10 n 10 n 10 4 n (n - 6) n (n - 6) 4 n (n - 6) 16 n 14 n 12 n 7 n (n - 6) 10997 n (n - 6) 1850751 n (n - 6) + -------------- + ------------------ + -------------------- n 10 n 10 n 10 4 n (n - 6) 4 n (n - 6) 4 n (n - 6) 11 n 13 n 7 n 13758339 n (n - 6) 174853 n (n - 6) 423084137 n (n - 6) - --------------------- - ------------------- - --------------------- n 10 n 10 n 10 4 n (n - 6) 4 n (n - 6) n (n - 6) 3 n 23 n 2 n 76204800 n (n - 6) 32199 n ((n - 1) ) (n - 6) - -------------------- - ------------------------------ n 10 8 n 3 10 n (n - 6) 2 (n - 1) (n ) (n - 6) 24 n 2 n 23 n 6 3297 n ((n - 1) ) (n - 6) 628 n ((n - 1) ) + ----------------------------- + ------------------- 8 n 3 10 20 n 6 4 (n - 1) (n ) (n - 6) (n - 1) (n ) 22 n 6 21 n 6 20 n 6 1740 n ((n - 1) ) 3072 n ((n - 1) ) 3376 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 20 n 6 20 n 6 20 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 19 n 6 26 n 6 25 n 6 2112 n ((n - 1) ) n ((n - 1) ) 18 n ((n - 1) ) + -------------------- - --------------- + ------------------ 20 n 6 20 n 6 20 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 24 n 6 19 n 2 n 141 n ((n - 1) ) 342027 n ((n - 1) ) (n - 5) - ------------------- + ------------------------------- 20 n 6 8 n 3 8 (n - 1) (n ) 4 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 2136519 n ((n - 1) ) (n - 5) 9832983 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 33869991 n ((n - 1) ) (n - 5) 43864791 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 42499266 n ((n - 1) ) (n - 5) 60619104 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 61676748 n ((n - 1) ) (n - 5) 42274872 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 17449344 n ((n - 1) ) (n - 5) 3265920 n ((n - 1) ) (n - 5) - --------------------------------- + ------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 21 n 2 n 20 n 2 n 3021 n ((n - 1) ) (n - 5) 39117 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 23 n 2 n 22 n 2 n 3 n ((n - 1) ) (n - 5) 141 n ((n - 1) ) (n - 5) + -------------------------- - ---------------------------- 8 n 3 8 8 n 3 8 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 20 n 5 n 19 n 5 n 201792 n ((n - 1) ) (n - 2) 88416 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 239640 n ((n - 1) ) (n - 2) 271560 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 17280 n ((n - 1) ) (n - 2) 145674 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 3870 n ((n - 1) ) (n - 2) 37407 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 24 n 5 n 28 n 5 n 62256 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) + ------------------------------ + --------------------------- 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 27 n 5 n 29 n 5 n 525 n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ---------------------------- - -------------------------- 16 n 6 6 16 n 6 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 697908 n ((n - 1) ) (n - 3) 2076840 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 4454736 n ((n - 1) ) (n - 3) 6837600 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 7324608 n ((n - 1) ) (n - 3) 5196672 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 2191104 n ((n - 1) ) (n - 3) 414720 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 6 n ((n - 1) ) (n - 3) 204 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 3108 n ((n - 1) ) (n - 3) 28080 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 13 n 5 7 13 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 2 n (n - 1) (n - 2) 24 n (n - 1) (n - 2) - ----------------------- + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 110 n (n - 1) (n - 2) 240 n (n - 1) (n - 2) - ------------------------ + ------------------------ 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 248 n (n - 1) (n - 2) 96 n (n - 1) (n - 2) - ------------------------ + ----------------------- 3 n 2 5 3 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 4 n 21 n 3 n 167694 n ((n - 1) ) (n - 3) 608931 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 13 n 5 7 10 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 3228930 n ((n - 1) ) (n - 4) 12408381 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 35002044 n ((n - 1) ) (n - 4) 72493812 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 108887472 n ((n - 1) ) (n - 4) 115273584 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 81414720 n ((n - 1) ) (n - 4) 34354368 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 24 n 3 n 6531840 n ((n - 1) ) (n - 4) 378 n ((n - 1) ) (n - 4) + -------------------------------- + ---------------------------- 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 7155 n ((n - 1) ) (n - 4) 80856 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 10 n 4 8 10 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 3 n 24 n 4 n 9 n ((n - 1) ) (n - 4) 4 n ((n - 1) ) (n - 2) - -------------------------- + -------------------------- 10 n 4 8 13 n 5 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 84 n ((n - 1) ) (n - 2) 772 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 4076 n ((n - 1) ) (n - 2) 13624 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 29888 n ((n - 1) ) (n - 2) 43008 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 39104 n ((n - 1) ) (n - 2) 20352 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 5 5 13 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 18 n 3 n 4608 n ((n - 1) ) (n - 2) 51006 n ((n - 1) ) (n - 3) - ----------------------------- - ------------------------------ 13 n 5 5 10 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 147012 n ((n - 1) ) (n - 3) 288672 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 381216 n ((n - 1) ) (n - 3) 323808 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 159552 n ((n - 1) ) (n - 3) 34560 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 6 n ((n - 1) ) (n - 3) 156 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1788 n ((n - 1) ) (n - 3) 11904 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 10 n 4 6 10 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 4 n ((n - 1) ) (n - 4) 132 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 1936 n ((n - 1) ) (n - 4) 16664 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 93556 n ((n - 1) ) (n - 4) 359780 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 967032 n ((n - 1) ) (n - 4) 1816256 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 2334720 n ((n - 1) ) (n - 4) 1954368 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 957312 n ((n - 1) ) (n - 4) 207360 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 7 n 3 7 7 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 791 n (n - 1) (n - 5) 8832 n (n - 1) (n - 5) - ------------------------- + -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n n 13 n n 65103 n (n - 1) (n - 5) 333666 n (n - 1) (n - 5) - --------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 1218713 n (n - 1) (n - 5) 3194436 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 5958736 n (n - 1) (n - 5) 7705392 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 6546096 n (n - 1) (n - 5) 3272832 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n n 725760 n (n - 1) (n - 5) n (n - 1) (n - 5) - --------------------------- - ----------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n n 17 n 4 n 42 n (n - 1) (n - 5) 26684 n ((n - 1) ) (n - 2) + ------------------------ - ------------------------------ 4 n 2 8 12 n 5 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 3 n ((n - 1) ) (n - 3) 57 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 12 n 5 8 12 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 963 n ((n - 1) ) (n - 3) 4785 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 12 n 5 8 12 n 5 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 124707 n ((n - 1) ) (n - 3) 280881 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 12 n 5 8 12 n 5 8 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 448953 n ((n - 1) ) (n - 3) 1027218 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1670940 n ((n - 1) ) (n - 3) 1885656 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1401648 n ((n - 1) ) (n - 3) 616032 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 22 n 3 n 120960 n ((n - 1) ) (n - 3) 37122 n ((n - 1) ) (n - 4) + ------------------------------- + ------------------------------ 12 n 5 8 9 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 307227 n ((n - 1) ) (n - 4) 1778445 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 7411272 n ((n - 1) ) (n - 4) 22522548 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 27 n 4 n 49935744 n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------- 9 n 4 9 14 n 5 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 279 n ((n - 1) ) (n - 3) 1953 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 14 n 5 6 14 n 5 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 16335 n ((n - 1) ) (n - 3) 181881 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 22 n 4 n 25 n 3 n 710199 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 4) - ------------------------------- - -------------------------- 14 n 5 6 11 n 4 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 114 n ((n - 1) ) (n - 4) 1965 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 20352 n ((n - 1) ) (n - 4) 141369 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 695658 n ((n - 1) ) (n - 4) 2495451 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 6607572 n ((n - 1) ) (n - 4) 12913644 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 18394128 n ((n - 1) ) (n - 4) 18553104 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 12540096 n ((n - 1) ) (n - 4) 5085504 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 10 n n 933120 n ((n - 1) ) (n - 4) 91 n (n - 1) (n - 2) + ------------------------------- - ------------------------ 11 n 4 7 4 n 2 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 9 n n 8 n n 285 n (n - 1) (n - 2) 484 n (n - 1) (n - 2) + ------------------------ - ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 420 n (n - 1) (n - 2) 144 n (n - 1) (n - 2) + ------------------------ - ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 2 n 21 n 2 n 6 n ((n - 1) ) (n - 5) 7362 n ((n - 1) ) (n - 5) + -------------------------- + ----------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 2 n 16 n 2 n 312 n ((n - 1) ) (n - 5) 124321332 n ((n - 1) ) (n - 5) - ---------------------------- - ---------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 344415024 n ((n - 1) ) (n - 5) 710422368 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 1073638752 n ((n - 1) ) (n - 5) + ----------------------------------- 7 n 3 9 (n - 1) (n ) (n - 5) 12 n 2 n 11 n 2 n 1152120384 n ((n - 1) ) (n - 5) 829149696 n ((n - 1) ) (n - 5) - ----------------------------------- + ---------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 9 n 2 n 357737472 n ((n - 1) ) (n - 5) 69672960 n ((n - 1) ) (n - 5) - ---------------------------------- + -------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 996474 n ((n - 1) ) (n - 5) 6756048 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n 2 n 20 n 2 n 33582126 n ((n - 1) ) (n - 5) 104484 n ((n - 1) ) (n - 5) + --------------------------------- - ------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 4616 n (n - 1) (n - 4) 19642 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 53984 n (n - 1) (n - 4) 95744 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 105504 n (n - 1) (n - 4) 65376 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 28 n 3 n 17280 n (n - 1) (n - 4) n ((n - 1) ) (n - 5) + -------------------------- - -------------------------- 3 n 2 7 9 n 4 11 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 12 n 3 n 26 n 3 n 174182400 n ((n - 1) ) (n - 5) 2237 n ((n - 1) ) (n - 5) - ---------------------------------- - ----------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 19 n 3 n 15 n 3 n 636260702 n ((n - 1) ) (n - 5) 3656611104 n ((n - 1) ) (n - 5) + ---------------------------------- + ----------------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 2409124608 n ((n - 1) ) (n - 5) - ----------------------------------- 9 n 4 11 (n - 1) (n ) (n - 5) 17 n 3 n 2778883304 n ((n - 1) ) (n - 5) + ----------------------------------- 9 n 4 11 (n - 1) (n ) (n - 5) 18 n 3 n 13 n 3 n 1526862532 n ((n - 1) ) (n - 5) 960145920 n ((n - 1) ) (n - 5) - ----------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 3 n 25 n 3 n 568271 n ((n - 1) ) (n - 5) 21653 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------ 9 n 4 11 9 n 4 11 4 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 23 n 3 n 21 n 3 n 2679353 n ((n - 1) ) (n - 5) 99800899 n ((n - 1) ) (n - 5) + -------------------------------- + --------------------------------- 9 n 4 11 9 n 4 11 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 20 n 3 n 22 n 3 n 203205475 n ((n - 1) ) (n - 5) 37559703 n ((n - 1) ) (n - 5) - ---------------------------------- - --------------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n 3 n 27 n 3 n 3760244432 n ((n - 1) ) (n - 5) 35 n ((n - 1) ) (n - 5) - ----------------------------------- + --------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 24 n 8 19 n 2 n 9072 n ((n - 1) ) 4050 n ((n - 1) ) (n - 4) - -------------------- + ----------------------------- 28 n 8 6 n 3 9 (n - 1) (n ) (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 47583 n ((n - 1) ) (n - 4) 731349 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 3872637 n ((n - 1) ) (n - 4) 7244271 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 19295280 n ((n - 1) ) (n - 4) 36313056 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 47082024 n ((n - 1) ) (n - 4) 39898224 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 19818432 n ((n - 1) ) (n - 4) 4354560 n ((n - 1) ) (n - 4) - --------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 9 n ((n - 1) ) (n - 4) 405 n ((n - 1) ) (n - 4) + -------------------------- - ---------------------------- 6 n 3 9 6 n 3 9 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n n 13 n n 13044672 n (n - 1) (n - 5) 65072043 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 236212452 n (n - 1) (n - 5) 623466000 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 3 n ((n - 1) ) (n - 2) 42 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 237 n ((n - 1) ) (n - 2) 690 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1092 n ((n - 1) ) (n - 2) 888 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 6 n 3 5 6 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n n 288 n ((n - 1) ) (n - 2) 6 n (n - 1) (n - 3) + --------------------------- - ----------------------- 6 n 3 5 3 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n n 11 n n 114 n (n - 1) (n - 3) 894 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 3750 n (n - 1) (n - 3) 9084 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 12696 n (n - 1) (n - 3) 9456 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 21 n 5 20 n 5 2880 n (n - 1) (n - 3) n ((n - 1) ) 13 n ((n - 1) ) + ------------------------- + ----------------- - ------------------ 3 n 2 6 16 n 5 16 n 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) 2 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 35 n ((n - 1) ) 100 n ((n - 1) ) 160 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 16 n 5 16 n 5 16 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 16 n 5 13 n 12 n 11 n 136 n ((n - 1) ) n (n - 5) 37 n (n - 5) 300 n (n - 5) - ------------------- + ------------- - --------------- + ---------------- 16 n 5 n 8 n 8 n 8 (n - 1) (n ) 2 n (n - 5) 2 n (n - 5) n (n - 5) 10 n 9 n 8 n 2805 n (n - 5) 33453 n (n - 5) 132741 n (n - 5) - ----------------- + ----------------- - ------------------ n 8 n 8 n 8 n (n - 5) 2 n (n - 5) 2 n (n - 5) 7 n 6 n 5 n 177145 n (n - 5) 313270 n (n - 5) 350148 n (n - 5) + ------------------ - ------------------ + ------------------ n 8 n 8 n 8 n (n - 5) n (n - 5) n (n - 5) 4 n 3 n 27 n 4 n 222336 n (n - 5) 60480 n (n - 5) 10287 n ((n - 1) ) (n - 4) - ------------------ + ----------------- - ------------------------------ n 8 n 8 15 n 5 7 n (n - 5) n (n - 5) (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 84973 n ((n - 1) ) (n - 4) 508205 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 15 n 5 7 15 n 5 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 2273985 n ((n - 1) ) (n - 4) 7752925 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 15 n 5 7 15 n 5 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 20308070 n ((n - 1) ) (n - 4) 40869260 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 15 n 5 7 15 n 5 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 62668536 n ((n - 1) ) (n - 4) 71890128 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 15 n 5 7 15 n 5 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 59701536 n ((n - 1) ) (n - 4) 33867072 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 15 n 5 7 15 n 5 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 11726208 n ((n - 1) ) (n - 4) 1866240 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 15 n 5 7 15 n 5 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 5) 13 n ((n - 1) ) (n - 5) - -------------------------- + --------------------------- 12 n 4 8 12 n 4 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 3 n 21 n 3 n 1880645 n ((n - 1) ) (n - 5) 7987835 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n 3 n 19 n 3 n 105359145 n ((n - 1) ) (n - 5) 67655410 n ((n - 1) ) (n - 5) - ---------------------------------- + --------------------------------- 12 n 4 8 12 n 4 8 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 3 n 17 n 3 n 134903269 n ((n - 1) ) (n - 5) 206589288 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 3 n 15 n 3 n 238124412 n ((n - 1) ) (n - 5) 199628064 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 3 n 13 n 3 n 114720624 n ((n - 1) ) (n - 5) 40341888 n ((n - 1) ) (n - 5) - ---------------------------------- + --------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n 3 n 24 n 3 n 6531840 n ((n - 1) ) (n - 5) 92623 n ((n - 1) ) (n - 5) - -------------------------------- - ------------------------------ 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 23 n 3 n 18 n n 340113 n ((n - 1) ) (n - 5) 450 n (n - 1) (n - 5) + ------------------------------- + ------------------------- 12 n 4 8 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n n 13 n n 9 n (n - 1) (n - 5) 34992369 n (n - 1) (n - 5) - ----------------------- - ------------------------------ 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 116497260 n (n - 1) (n - 5) 283628016 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 498377520 n (n - 1) (n - 5) 613703088 n (n - 1) (n - 5) + ------------------------------- - ------------------------------ 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 500774400 n (n - 1) (n - 5) 242175744 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 52254720 n (n - 1) (n - 5) 136440 n (n - 1) (n - 5) + ----------------------------- + ---------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n n 14 n n 1221831 n (n - 1) (n - 5) 7690410 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n n 31 n 7 30 n 7 10143 n (n - 1) (n - 5) 3 n ((n - 1) ) 69 n ((n - 1) ) - --------------------------- + ----------------- - ------------------ 4 n 2 9 24 n 7 24 n 7 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) 4 (n - 1) (n ) 29 n 7 28 n 7 27 n 7 711 n ((n - 1) ) 4323 n ((n - 1) ) 8589 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 24 n 7 24 n 7 24 n 7 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 26 n 7 25 n 7 24 n 7 11655 n ((n - 1) ) 21882 n ((n - 1) ) 28068 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 24 n 7 24 n 7 24 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 23 n 7 22 n 7 23544 n ((n - 1) ) 11664 n ((n - 1) ) + --------------------- - --------------------- 24 n 7 24 n 7 (n - 1) (n ) (n - 1) (n ) 25 n 2 n 26 n 2 n 207 n ((n - 1) ) (n - 6) 3 n ((n - 1) ) (n - 6) - ---------------------------- + -------------------------- 8 n 3 10 8 n 3 10 8 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 16 n 2 n 14974576479 n ((n - 1) ) (n - 6) + ------------------------------------ 8 n 3 10 4 (n - 1) (n ) (n - 6) 12 n 2 n 14613967836 n ((n - 1) ) (n - 6) + ------------------------------------ 8 n 3 10 (n - 1) (n ) (n - 6) 11 n 2 n 9015175584 n ((n - 1) ) (n - 6) - ----------------------------------- 8 n 3 10 (n - 1) (n ) (n - 6) 14 n 2 n 13108049208 n ((n - 1) ) (n - 6) + ------------------------------------ 8 n 3 10 (n - 1) (n ) (n - 6) 15 n 2 n 7981672089 n ((n - 1) ) (n - 6) - ----------------------------------- 8 n 3 10 (n - 1) (n ) (n - 6) 10 n 2 n 21 n 2 n 3397256640 n ((n - 1) ) (n - 6) 8445021 n ((n - 1) ) (n - 6) + ----------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 22 n 2 n 20 n 2 n 863829 n ((n - 1) ) (n - 6) 15577095 n ((n - 1) ) (n - 6) + ------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n 2 n 3145794555 n ((n - 1) ) (n - 6) + ----------------------------------- 8 n 3 10 8 (n - 1) (n ) (n - 6) 17 n 2 n 10957510335 n ((n - 1) ) (n - 6) - ------------------------------------ 8 n 3 10 8 (n - 1) (n ) (n - 6) 19 n 2 n 177189705 n ((n - 1) ) (n - 6) - ---------------------------------- 8 n 3 10 2 (n - 1) (n ) (n - 6) 13 n 2 n 9 n 2 n 16226811702 n ((n - 1) ) (n - 6) 587865600 n ((n - 1) ) (n - 6) - ------------------------------------ - --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n 17 n 15 n 2595597 n (n - 8) 22509219 n (n - 8) 3076203169 n (n - 8) + -------------------- - --------------------- - ----------------------- n 14 n 14 n 14 8 n (n - 8) 4 n (n - 8) 4 n (n - 8) 16 n 14 n 595765883 n (n - 8) 100558108677 n (n - 8) + ---------------------- + ------------------------- n 14 n 14 8 n (n - 8) 16 n (n - 8) 12 n 11 n 3420728622519 n (n - 8) 7136145073317 n (n - 8) + -------------------------- - -------------------------- n 14 n 14 16 n (n - 8) 8 n (n - 8) 13 n 7 n 327787472727 n (n - 8) 23988990348522 n (n - 8) - ------------------------- - -------------------------- n 14 n 14 8 n (n - 8) n (n - 8) 3 n 28 n 4 n 1961511552000 n (n - 8) 3 n ((n - 1) ) (n - 3) - ------------------------- + -------------------------- n 14 15 n 5 6 n (n - 8) (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 102 n ((n - 1) ) (n - 3) 1581 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 14796 n ((n - 1) ) (n - 3) 93297 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 418614 n ((n - 1) ) (n - 3) 1375083 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 3 n ((n - 1) ) (n - 4) 123 n ((n - 1) ) (n - 4) - -------------------------- + ---------------------------- 12 n 4 7 12 n 4 7 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 2307 n ((n - 1) ) (n - 4) 26247 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 12 n 4 7 12 n 4 7 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 202425 n ((n - 1) ) (n - 4) 1119765 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 12 n 4 7 12 n 4 7 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n 3 n 18 n 2 n 4582425 n ((n - 1) ) (n - 4) 135972 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------- 12 n 4 7 7 n 3 8 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 945918 n ((n - 1) ) (n - 4) 4566024 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 15684714 n ((n - 1) ) (n - 4) 38634660 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 67718304 n ((n - 1) ) (n - 4) 82338336 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 65870496 n ((n - 1) ) (n - 4) 31088448 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 21 n 2 n 6531840 n ((n - 1) ) (n - 4) 18 n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------- 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 720 n ((n - 1) ) (n - 4) 12870 n ((n - 1) ) (n - 4) - ---------------------------- + ------------------------------ 7 n 3 8 7 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 36 n 8 35 n 8 34 n 8 7 n ((n - 1) ) 49 n ((n - 1) ) 1253 n ((n - 1) ) - ------------------ + ------------------ - -------------------- 28 n 8 28 n 8 28 n 8 16 (n - 1) (n ) 4 (n - 1) (n ) 8 (n - 1) (n ) 33 n 8 32 n 8 31 n 8 4837 n ((n - 1) ) 100471 n ((n - 1) ) 23107 n ((n - 1) ) + -------------------- - ---------------------- + --------------------- 28 n 8 28 n 8 28 n 8 4 (n - 1) (n ) 16 (n - 1) (n ) (n - 1) (n ) 30 n 8 29 n 8 28 n 8 61789 n ((n - 1) ) 120988 n ((n - 1) ) 172186 n ((n - 1) ) - --------------------- + ---------------------- - ---------------------- 28 n 8 28 n 8 28 n 8 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 27 n 8 26 n 8 25 n 8 173712 n ((n - 1) ) 117936 n ((n - 1) ) 48384 n ((n - 1) ) + ---------------------- - ---------------------- + --------------------- 28 n 8 28 n 8 28 n 8 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 22 n 4 n 21 n 4 n 3127923 n ((n - 1) ) (n - 3) 4006971 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 14 n 5 7 14 n 5 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 7575678 n ((n - 1) ) (n - 3) 10439028 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 14 n 5 7 14 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 10188936 n ((n - 1) ) (n - 3) 6667920 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 14 n 5 7 14 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 2620512 n ((n - 1) ) (n - 3) 466560 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 14 n 5 7 14 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 9 n ((n - 1) ) (n - 3) 333 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 14 n 5 7 14 n 5 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 1395 n ((n - 1) ) (n - 3) 28053 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 14 n 5 7 14 n 5 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 377901 n ((n - 1) ) (n - 3) 1801485 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 14 n 5 7 14 n 5 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 79805424 n ((n - 1) ) (n - 4) 89374848 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 66409920 n ((n - 1) ) (n - 4) 29327616 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 25 n 3 n 5806080 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 141 n ((n - 1) ) (n - 4) 2970 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 91161387 n ((n - 1) ) (n - 5) 183178269 n ((n - 1) ) (n - 5) + --------------------------------- - ---------------------------------- 6 n 3 10 6 n 3 10 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 547945452 n ((n - 1) ) (n - 5) 1213781832 n ((n - 1) ) (n - 5) + ---------------------------------- - ----------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 2 n 1959234552 n ((n - 1) ) (n - 5) + ----------------------------------- 6 n 3 10 (n - 1) (n ) (n - 5) 12 n 2 n 2233448208 n ((n - 1) ) (n - 5) - ----------------------------------- 6 n 3 10 (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 1698330240 n ((n - 1) ) (n - 5) 770072832 n ((n - 1) ) (n - 5) + ----------------------------------- - ---------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 20 n 2 n 156764160 n ((n - 1) ) (n - 5) 107523 n ((n - 1) ) (n - 5) + --------------------------------- - ------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 2 n 29 n 5 n 2260107 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------- 6 n 3 10 17 n 6 5 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 78 n ((n - 1) ) (n - 2) 912 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 6330 n ((n - 1) ) (n - 2) 28977 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 91848 n ((n - 1) ) (n - 2) 205644 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 325104 n ((n - 1) ) (n - 2) 355440 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 255744 n ((n - 1) ) (n - 2) 108864 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 17 n 6 5 17 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 21 n 4 n 20736 n ((n - 1) ) (n - 2) 997326 n ((n - 1) ) (n - 3) + ------------------------------ + ------------------------------- 17 n 6 5 14 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 2029986 n ((n - 1) ) (n - 3) 2971440 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 3049416 n ((n - 1) ) (n - 3) 2081376 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 847584 n ((n - 1) ) (n - 3) 155520 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 21 n 2 n 8403075 n ((n - 1) ) (n - 5) 13689 n ((n - 1) ) (n - 5) - -------------------------------- + ------------------------------ 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n n 11 n n 1442 n (n - 1) (n - 3) 7504 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 23723 n (n - 1) (n - 3) 46606 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 55468 n (n - 1) (n - 3) 36456 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 6 4 n 2 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 22 n 2 n 10080 n (n - 1) (n - 3) 261 n ((n - 1) ) (n - 5) - -------------------------- - ---------------------------- 4 n 2 6 6 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 23 n 2 n 14 n n 9 n ((n - 1) ) (n - 5) 7 n (n - 1) (n - 3) + -------------------------- - ----------------------- 6 n 3 10 4 n 2 6 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 3) 13 n n 14 n n 154 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) + ------------------------- - ----------------------- 4 n 2 6 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 175 n (n - 1) (n - 3) 1841 n (n - 1) (n - 3) + ------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 10633 n (n - 1) (n - 3) 36848 n (n - 1) (n - 3) + --------------------------- - --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n n 13 n n 3 n (n - 1) (n - 6) 2473418310 n (n - 1) (n - 6) - ------------------------ - -------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 9 n n 8 n n 32946417504 n (n - 1) (n - 6) 26052122880 n (n - 1) (n - 6) - -------------------------------- + -------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 12 n n 16813326912 n (n - 1) (n - 6) 7447748088 n (n - 1) (n - 6) - --------------------------------- + -------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 20 n n 12312000000 n (n - 1) (n - 6) 213 n (n - 1) (n - 6) - -------------------------------- + ------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n n 19 n n 135033 n (n - 1) (n - 6) 6897 n (n - 1) (n - 6) + ---------------------------- - -------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n n 15 n n 1786683 n (n - 1) (n - 6) 118259691 n (n - 1) (n - 6) - ----------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 16 n n 621508899 n (n - 1) (n - 6) 16913319 n (n - 1) (n - 6) + ------------------------------- + ------------------------------ 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 27914051568 n (n - 1) (n - 6) 2612736000 n (n - 1) (n - 6) + --------------------------------- + ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 16 n 4 n 15 n 4 n 138024 n ((n - 1) ) (n - 3) 23328 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 16 n 5 5 16 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 30 n 5 n 29 n 5 n 3 n ((n - 1) ) (n - 2) 87 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 18 n 6 5 18 n 6 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 573 n ((n - 1) ) (n - 2) 4533 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 18 n 6 5 18 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 47967 n ((n - 1) ) (n - 2) 178779 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 18 n 6 5 18 n 6 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 240594 n ((n - 1) ) (n - 2) 471018 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 18 n 6 5 18 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 665376 n ((n - 1) ) (n - 2) 661032 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 18 n 6 5 18 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 438048 n ((n - 1) ) (n - 2) 173664 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 18 n 6 5 18 n 6 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 21 n 4 n 31104 n ((n - 1) ) (n - 2) 3347976 n ((n - 1) ) (n - 3) - ------------------------------ - -------------------------------- 18 n 6 5 15 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 6040932 n ((n - 1) ) (n - 3) 7975824 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 7486416 n ((n - 1) ) (n - 3) 4727808 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 1798848 n ((n - 1) ) (n - 3) 311040 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 15 n 5 6 15 n 5 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 30 n 5 n 21 n 5 n 3 n ((n - 1) ) (n - 2) 260280 n ((n - 1) ) (n - 2) - -------------------------- + ------------------------------- 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 169452 n ((n - 1) ) (n - 2) 66096 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 19 n 6 4 19 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 29 n 5 n 11664 n ((n - 1) ) (n - 2) 21 n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------- 19 n 6 4 19 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 1071 n ((n - 1) ) (n - 2) 2055 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 42285 n ((n - 1) ) (n - 2) 38385 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 403365 n ((n - 1) ) (n - 2) 193035 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 19 n 6 4 19 n 6 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 26 n 4 n 267075 n ((n - 1) ) (n - 2) 1407 n ((n - 1) ) (n - 3) - ------------------------------- + ----------------------------- 19 n 6 4 16 n 5 5 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 25 n 4 n 28 n 4 n 1563 n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 16 n 5 5 16 n 5 5 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 27 n 4 n 24 n 4 n 12 n ((n - 1) ) (n - 3) 75165 n ((n - 1) ) (n - 3) - --------------------------- + ------------------------------ 16 n 5 5 16 n 5 5 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 40335 n ((n - 1) ) (n - 3) 1017525 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 16 n 5 5 16 n 5 5 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 298200 n ((n - 1) ) (n - 3) 1039215 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 16 n 5 5 16 n 5 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 664290 n ((n - 1) ) (n - 3) 605286 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 16 n 5 5 16 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 9 n n 371952 n ((n - 1) ) (n - 3) 78400 n (n - 1) (n - 3) - ------------------------------- + -------------------------- 16 n 5 5 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 99904 n (n - 1) (n - 3) 69552 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 13 n 12 n 20160 n (n - 1) (n - 3) 3 n (n - 4) 123 n (n - 4) - -------------------------- + -------------- - ---------------- 3 n 2 7 n 9 n 9 (n - 1) (n ) (n - 3) 4 n (n - 4) 4 n (n - 4) 11 n 10 n 9 n 549 n (n - 4) 11223 n (n - 4) 145215 n (n - 4) + ---------------- - ------------------ + ------------------ n 9 n 9 n 9 n (n - 4) 2 n (n - 4) 4 n (n - 4) 8 n 7 n 6 n 620235 n (n - 4) 883857 n (n - 4) 827931 n (n - 4) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 4 n (n - 4) 2 n (n - 4) n (n - 4) 5 n 4 n 3 n 972738 n (n - 4) 644328 n (n - 4) 181440 n (n - 4) + ------------------ - ------------------ + ------------------ n 9 n 9 n 9 n (n - 4) n (n - 4) n (n - 4) 30 n 5 n 29 n 5 n 1041 n ((n - 1) ) (n - 3) 11211 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 17 n 6 7 17 n 6 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n 163371 n ((n - 1) ) (n - 3) 852429 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 17 n 6 7 17 n 6 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 26 n 5 n 30 n 4 n 1643136 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------- 17 n 6 7 14 n 5 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 29 n 4 n 24 n 4 n 423 n ((n - 1) ) (n - 4) 32206617 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------------- 14 n 5 8 14 n 5 8 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 23 n 4 n 22 n 4 n 116417529 n ((n - 1) ) (n - 4) 160977159 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 14 n 5 8 14 n 5 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 21 n 4 n 20 n 4 n 170342199 n ((n - 1) ) (n - 4) 273668454 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 327776868 n ((n - 1) ) (n - 4) 283267368 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 166698000 n ((n - 1) ) (n - 4) 59696352 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 114278688 n ((n - 1) ) (n - 4) 46894464 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 26 n 3 n 8709120 n ((n - 1) ) (n - 4) 3 n ((n - 1) ) (n - 4) - -------------------------------- - -------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n 75 n ((n - 1) ) (n - 4) 3393 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 23 n 3 n 17 n 2 n 23016 n ((n - 1) ) (n - 4) 213280233 n ((n - 1) ) (n - 5) + ------------------------------ - ---------------------------------- 10 n 4 9 7 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 16 n 2 n 15 n 2 n 731653506 n ((n - 1) ) (n - 5) 1905078792 n ((n - 1) ) (n - 5) + ---------------------------------- - ----------------------------------- 7 n 3 10 7 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 3733720032 n ((n - 1) ) (n - 5) + ----------------------------------- 7 n 3 10 (n - 1) (n ) (n - 5) 13 n 2 n 5407434576 n ((n - 1) ) (n - 5) - ----------------------------------- 7 n 3 10 (n - 1) (n ) (n - 5) 12 n 2 n 5599116576 n ((n - 1) ) (n - 5) + ----------------------------------- 7 n 3 10 (n - 1) (n ) (n - 5) 11 n 2 n 3910042368 n ((n - 1) ) (n - 5) - ----------------------------------- 7 n 3 10 (n - 1) (n ) (n - 5) 10 n 2 n 20 n 3 n 1644655104 n ((n - 1) ) (n - 5) 6 n ((n - 1) ) (n - 2) + ----------------------------------- - -------------------------- 7 n 3 10 10 n 4 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 114 n ((n - 1) ) (n - 2) 930 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 4254 n ((n - 1) ) (n - 2) 11928 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 20976 n ((n - 1) ) (n - 2) 22560 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 13536 n ((n - 1) ) (n - 2) 3456 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 4 5 10 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 17808 n ((n - 1) ) (n - 3) 66396 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 161232 n ((n - 1) ) (n - 3) 254880 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 252672 n ((n - 1) ) (n - 3) 142272 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 34560 n ((n - 1) ) (n - 3) 12 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 7 n 3 6 7 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 19 n 20 n 288 n ((n - 1) ) (n - 3) 147 n (n - 7) 3 n (n - 7) - ---------------------------- - ---------------- + -------------- 7 n 3 6 n 13 n 13 (n - 1) (n ) (n - 3) 4 n (n - 7) 8 n (n - 7) 10 n 6 n 113833718076 n (n - 7) 1489132878768 n (n - 7) + ------------------------- + ------------------------- n 13 n 13 n (n - 7) n (n - 7) 5 n 8 n 1207646314560 n (n - 7) 744083501094 n (n - 7) - ------------------------- + ------------------------ n 13 n 13 n (n - 7) n (n - 7) 9 n 4 n 18 n 333000041010 n (n - 7) 588868704000 n (n - 7) 1662 n (n - 7) - ------------------------ + ------------------------ + ----------------- n 13 n 13 n 13 n (n - 7) n (n - 7) n (n - 7) 17 n 15 n 16 n 92085 n (n - 7) 12081846 n (n - 7) 3498423 n (n - 7) - ------------------ - --------------------- + -------------------- n 13 n 13 n 13 2 n (n - 7) n (n - 7) 4 n (n - 7) 14 n 12 n 125598369 n (n - 7) 49776411399 n (n - 7) + ---------------------- + ------------------------ n 13 n 13 n (n - 7) 8 n (n - 7) 11 n 13 n 120546567141 n (n - 7) 2005778775 n (n - 7) - ------------------------- - ----------------------- n 13 n 13 4 n (n - 7) 2 n (n - 7) 7 n 3 n 1241138881332 n (n - 7) 129330432000 n (n - 7) - ------------------------- - ------------------------ n 13 n 13 n (n - 7) n (n - 7) 31 n 5 n 32 n 5 n 43 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + --------------------------- - -------------------------- 16 n 6 8 16 n 6 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 30 n 5 n 29 n 5 n 419 n ((n - 1) ) (n - 3) 4909 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 16 n 6 8 16 n 6 8 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n 77321 n ((n - 1) ) (n - 3) 433379 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 16 n 6 8 16 n 6 8 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 26 n 5 n 25 n 5 n 446072 n ((n - 1) ) (n - 3) 1371542 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 16 n 6 8 16 n 6 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 5 n 23 n 5 n 3166916 n ((n - 1) ) (n - 3) 5467888 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 16 n 6 8 16 n 6 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 6951856 n ((n - 1) ) (n - 3) 6312736 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 16 n 6 8 16 n 6 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 3870336 n ((n - 1) ) (n - 3) 1433664 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 16 n 6 8 16 n 6 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 9 n 241920 n ((n - 1) ) (n - 3) 8407665 n (n - 5) - ------------------------------- - ------------------- 16 n 6 8 n 9 (n - 1) (n ) (n - 3) 2 n (n - 5) 8 n 7 n 6 n 14870289 n (n - 5) 36339030 n (n - 5) 59982468 n (n - 5) + -------------------- - -------------------- + -------------------- n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 5 n 4 n 3 n 63493920 n (n - 5) 38622528 n (n - 5) 10160640 n (n - 5) - -------------------- + -------------------- - -------------------- n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 13 n 12 n 11 n 945 n (n - 5) 9408 n (n - 5) 109305 n (n - 5) - ---------------- + ----------------- - ------------------- n 9 n 9 n 9 2 n (n - 5) n (n - 5) n (n - 5) 14 n 34 n 6 n 21 n (n - 5) 3 n ((n - 1) ) (n - 2) + --------------- + -------------------------- n 9 22 n 7 4 2 n (n - 5) 8 (n - 1) (n ) (n - 2) 33 n 6 n 24 n 6 n 45 n ((n - 1) ) (n - 2) 345006 n ((n - 1) ) (n - 2) - --------------------------- + ------------------------------- 22 n 7 4 22 n 7 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 6 n 22 n 6 n 202500 n ((n - 1) ) (n - 2) 71928 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 22 n 7 4 22 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 n 32 n 6 n 11664 n ((n - 1) ) (n - 2) 1239 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 22 n 7 4 22 n 7 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 31 n 6 n 30 n 6 n 5181 n ((n - 1) ) (n - 2) 58725 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 22 n 7 4 22 n 7 4 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 29 n 6 n 28 n 6 n 119055 n ((n - 1) ) (n - 2) 710445 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 22 n 7 4 22 n 7 4 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 27 n 6 n 26 n 6 n 789435 n ((n - 1) ) (n - 2) 653145 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 22 n 7 4 22 n 7 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 25 n 6 n 32 n 5 n 397215 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ------------------------------- - -------------------------- 22 n 7 4 19 n 6 5 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 29 n 5 n 28 n 5 n 2553 n ((n - 1) ) (n - 3) 33391 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 19 n 6 5 19 n 6 5 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 31 n 5 n 30 n 5 n 17 n ((n - 1) ) (n - 3) 533 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 19 n 6 5 19 n 6 5 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 27 n 5 n 26 n 5 n 78835 n ((n - 1) ) (n - 3) 554295 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 19 n 6 5 19 n 6 5 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 25 n 5 n 24 n 5 n 736775 n ((n - 1) ) (n - 3) 744005 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 19 n 6 5 19 n 6 5 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 5 n 22 n 5 n 1135670 n ((n - 1) ) (n - 3) 1289244 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 19 n 6 5 19 n 6 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 5 n 11 n 2 n 1055016 n ((n - 1) ) (n - 3) 91976929920 n ((n - 1) ) (n - 6) + -------------------------------- - ------------------------------------ 19 n 6 5 6 n 3 12 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 6) 14 n 2 n 95715284994 n ((n - 1) ) (n - 6) + ------------------------------------ 6 n 3 12 (n - 1) (n ) (n - 6) 15 n 2 n 51292219920 n ((n - 1) ) (n - 6) - ------------------------------------ 6 n 3 12 (n - 1) (n ) (n - 6) 10 n 2 n 24 n 2 n 38103696000 n ((n - 1) ) (n - 6) 2433 n ((n - 1) ) (n - 6) + ------------------------------------ + ----------------------------- 6 n 3 12 6 n 3 12 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 23 n 2 n 21 n 2 n 57345 n ((n - 1) ) (n - 6) 10777731 n ((n - 1) ) (n - 6) - ------------------------------ - --------------------------------- 6 n 3 12 6 n 3 12 2 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 22 n 2 n 20 n 2 n 1846923 n ((n - 1) ) (n - 6) 47179983 n ((n - 1) ) (n - 6) + -------------------------------- + --------------------------------- 6 n 3 12 6 n 3 12 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n 2 n 13154747199 n ((n - 1) ) (n - 6) + ------------------------------------ 6 n 3 12 8 (n - 1) (n ) (n - 6) 17 n 2 n 19 n 2 n 6659422737 n ((n - 1) ) (n - 6) 632744475 n ((n - 1) ) (n - 6) - ----------------------------------- - ---------------------------------- 6 n 3 12 6 n 3 12 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 13 n 2 n 133558085616 n ((n - 1) ) (n - 6) - ------------------------------------- 6 n 3 12 (n - 1) (n ) (n - 6) 9 n 2 n 7185024000 n ((n - 1) ) (n - 6) - ---------------------------------- 6 n 3 12 (n - 1) (n ) (n - 6) 16 n 2 n 42012313719 n ((n - 1) ) (n - 6) + ------------------------------------ 6 n 3 12 2 (n - 1) (n ) (n - 6) 12 n 2 n 19 n n 134476347816 n ((n - 1) ) (n - 6) 9 n (n - 1) (n - 5) + ------------------------------------- - ------------------------ 6 n 3 12 3 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 5) 10 n n 6 n n 5253267672 n (n - 1) (n - 6) 391910400 n (n - 1) (n - 6) + -------------------------------- + ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 26 n 3 n 25 n 3 n 312 n ((n - 1) ) (n - 5) 4589 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 34 n 6 n 33 n 6 n 3 n ((n - 1) ) (n - 2) 99 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 20 n 7 6 20 n 7 6 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 23 n 6 n 22 n 6 n 417528 n ((n - 1) ) (n - 2) 154224 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 20 n 7 6 20 n 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 6 n 24 n 6 n 749358 n ((n - 1) ) (n - 2) 681684 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 20 n 7 6 20 n 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 n 26 n 6 n 25920 n ((n - 1) ) (n - 2) 585951 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 20 n 7 6 20 n 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 29 n 6 n 28 n 6 n 357987 n ((n - 1) ) (n - 2) 569175 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 20 n 7 6 20 n 7 6 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 27 n 6 n 31 n 6 n 670773 n ((n - 1) ) (n - 2) 6747 n ((n - 1) ) (n - 2) - ------------------------------- - ----------------------------- 20 n 7 6 20 n 7 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 30 n 6 n 32 n 6 n 82407 n ((n - 1) ) (n - 2) 186 n ((n - 1) ) (n - 2) + ------------------------------ + ---------------------------- 20 n 7 6 20 n 7 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 32 n 5 n 25 n 5 n 3 n ((n - 1) ) (n - 3) 4756596 n ((n - 1) ) (n - 3) - -------------------------- + -------------------------------- 17 n 6 7 17 n 6 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 5 n 23 n 5 n 10393080 n ((n - 1) ) (n - 3) 17060256 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 17 n 6 7 17 n 6 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 20711328 n ((n - 1) ) (n - 3) 18030528 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 17 n 6 7 17 n 6 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 10637568 n ((n - 1) ) (n - 3) 3805056 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 17 n 6 7 17 n 6 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 31 n 5 n 622080 n ((n - 1) ) (n - 3) 117 n ((n - 1) ) (n - 3) - ------------------------------- + ---------------------------- 17 n 6 7 17 n 6 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 313528320 n ((n - 1) ) (n - 5) 968415 n ((n - 1) ) (n - 5) - --------------------------------- + ------------------------------- 7 n 3 10 7 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 7862157 n ((n - 1) ) (n - 5) 47193279 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 7 n 3 10 7 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 21 n 2 n 24 n 2 n 85371 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 5) - ------------------------------ + -------------------------- 7 n 3 10 7 n 3 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 13 n n 7 n (n - 1) (n - 5) 3899217 n (n - 1) (n - 5) - ----------------------- + ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 15518636 n (n - 1) (n - 5) 44053072 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 88440352 n (n - 1) (n - 5) 122305904 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 110406912 n (n - 1) (n - 5) 58270464 n (n - 1) (n - 5) - ------------------------------ + ----------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 16 n n 13547520 n (n - 1) (n - 5) 6902 n (n - 1) (n - 5) - ----------------------------- - -------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n n 14 n n 85414 n (n - 1) (n - 5) 694071 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 17 n n 16 n 2 n 329 n (n - 1) (n - 5) 4 n ((n - 1) ) (n - 2) + ------------------------- + -------------------------- 3 n 2 9 7 n 3 5 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 68 n ((n - 1) ) (n - 2) 484 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 1868 n ((n - 1) ) (n - 2) 4216 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 5552 n ((n - 1) ) (n - 2) 3936 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 7 n 3 5 7 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 26 n 2 n 10 n 1152 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 6) 7 n (n - 3) - ---------------------------- + ------------------------ + -------------- 7 n 3 5 7 n 3 11 n 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 6) 4 n (n - 3) 9 n 8 n 7 n 161 n (n - 3) 1519 n (n - 3) 7595 n (n - 3) - --------------- + ---------------- - ---------------- n 7 n 7 n 7 4 n (n - 3) 4 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 10829 n (n - 3) 8771 n (n - 3) 7434 n (n - 3) + ----------------- - ---------------- + ---------------- n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) 3 n 32 n 7 31 n 7 2520 n (n - 3) 3 n ((n - 1) ) 39 n ((n - 1) ) - ---------------- + ----------------- - ------------------ n 7 25 n 7 25 n 7 n (n - 3) 8 (n - 1) (n ) 4 (n - 1) (n ) 30 n 7 29 n 7 28 n 7 459 n ((n - 1) ) 807 n ((n - 1) ) 30147 n ((n - 1) ) + ------------------- - ------------------- + --------------------- 25 n 7 25 n 7 25 n 7 4 (n - 1) (n ) (n - 1) (n ) 8 (n - 1) (n ) 27 n 7 26 n 7 25 n 7 49077 n ((n - 1) ) 56847 n ((n - 1) ) 46857 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 25 n 7 25 n 7 25 n 7 4 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 24 n 7 23 n 7 22 n 7 53874 n ((n - 1) ) 41148 n ((n - 1) ) 18792 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 25 n 7 25 n 7 25 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 15 n n 14 n n 735 n (n - 1) (n - 4) 11214 n (n - 1) (n - 4) + ------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 98154 n (n - 1) (n - 4) 545517 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 2010519 n (n - 1) (n - 4) 4973136 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 8144976 n (n - 1) (n - 4) 8440992 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 4986576 n (n - 1) (n - 4) 1270080 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 25 n 4 n 21 n (n - 1) (n - 4) 1179104 n ((n - 1) ) (n - 4) - ------------------------ - -------------------------------- 3 n 2 8 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 6048953 n ((n - 1) ) (n - 4) 23416526 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 13 n 5 9 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 69005372 n ((n - 1) ) (n - 4) 154873144 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 13 n 5 9 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 262672144 n ((n - 1) ) (n - 4) 330705568 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 13 n 5 9 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 299208768 n ((n - 1) ) (n - 4) 183634560 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 13 n 5 9 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 68332032 n ((n - 1) ) (n - 4) 11612160 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 13 n 5 9 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 29 n 4 n 30 n 4 n 52 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - --------------------------- + ------------------------ 13 n 5 9 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 1231 n ((n - 1) ) (n - 4) 17606 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 13 n 5 9 13 n 5 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 4 n 22 n n 170219 n ((n - 1) ) (n - 4) 3 n (n - 1) (n - 6) + ------------------------------- - -------------------------- 13 n 5 9 4 n 2 11 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 6) 21 n n 10 n 111 n (n - 1) (n - 6) 1644993 n (n - 5) + ------------------------- + -------------------- 4 n 2 11 n 9 (n - 1) (n ) (n - 6) 2 n (n - 5) 21 n 5 n 20 n 5 n 9850320 n ((n - 1) ) (n - 3) 5627232 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 18 n 6 6 18 n 6 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 1954368 n ((n - 1) ) (n - 3) 311040 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 18 n 6 6 18 n 6 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 31 n 5 n 30 n 5 n 54 n ((n - 1) ) (n - 3) 1785 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 18 n 6 6 18 n 6 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 29 n 5 n 28 n 5 n 8979 n ((n - 1) ) (n - 3) 122889 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------- 18 n 6 6 18 n 6 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 27 n 5 n 26 n 5 n 302604 n ((n - 1) ) (n - 3) 2212311 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 18 n 6 6 18 n 6 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 25 n 5 n 30 n 4 n 3049071 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) + -------------------------------- + ------------------------ 18 n 6 6 15 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 29 n 4 n 28 n 4 n 43 n ((n - 1) ) (n - 4) 851 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 15 n 5 7 15 n 5 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) n 7 n 6 n 5 n 4 (n - 2) n 5 (n - 2) n 35 (n - 2) n 25 (n - 2) n + ------------- - ------------- + -------------- - -------------- 5 n 5 n 5 n 5 n 2 (n - 2) n (n - 2) n 2 (n - 2) n (n - 2) n n 3 25 n 4 n 12 (n - 2) n 9 n ((n - 1) ) (n - 2) + -------------- + -------------------------- 5 n 14 n 5 5 (n - 2) n 2 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 108 n ((n - 1) ) (n - 2) 1152 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n n 23 n n n (n - 1) (n - 7) 91 n (n - 1) (n - 7) - -------------------------- + -------------------------- 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 18 n 3 n 17 n 3 n 32 n ((n - 1) ) (n - 2) 214 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 776 n ((n - 1) ) (n - 2) 1648 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 2048 n ((n - 1) ) (n - 2) 1376 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 5 9 n 4 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 15 n 2 n 384 n ((n - 1) ) (n - 2) 561 n ((n - 1) ) (n - 3) + ---------------------------- + ---------------------------- 9 n 4 5 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 2769 n ((n - 1) ) (n - 3) 8292 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 15432 n ((n - 1) ) (n - 3) 17424 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 10896 n ((n - 1) ) (n - 3) 2880 n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3 n ((n - 1) ) (n - 3) 63 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 2 n (n - 1) (n - 4) 56 n (n - 1) (n - 4) - ----------------------- + ------------------------ 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 22 n n 676 n (n - 1) (n - 4) 959 n (n - 1) (n - 7) - ------------------------- - ------------------------- 3 n 2 7 4 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 7) 13 n n 9 n n 143775328457 n (n - 1) (n - 7) 818361814896 n (n - 1) (n - 7) + ---------------------------------- + --------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 8 n n 11 n n 554256587520 n (n - 1) (n - 7) 606663602916 n (n - 1) (n - 7) - --------------------------------- + ---------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 12 n n 7 n n 336086734916 n (n - 1) (n - 7) 228622176000 n (n - 1) (n - 7) - ---------------------------------- + --------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 21 n n 20 n n 24874 n (n - 1) (n - 7) 889411 n (n - 1) (n - 7) + --------------------------- - ---------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) 2 (n - 1) (n ) (n - 7) 18 n n 19 n n 57692043 n (n - 1) (n - 7) 11635241 n (n - 1) (n - 7) - ------------------------------ + ------------------------------ 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) 2 (n - 1) (n ) (n - 7) 17 n n 15 n n 443277023 n (n - 1) (n - 7) 51016024763 n (n - 1) (n - 7) + ------------------------------- + --------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 14 n n 16 n n 48184749412 n (n - 1) (n - 7) 10696272433 n (n - 1) (n - 7) - --------------------------------- - --------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 10 n n 6 n n 826255626336 n (n - 1) (n - 7) 43110144000 n (n - 1) (n - 7) - ---------------------------------- - -------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 25 n 2 n 26 n 2 n 63 n ((n - 1) ) (n - 6) 3 n ((n - 1) ) (n - 6) - --------------------------- + -------------------------- 6 n 3 12 6 n 3 12 2 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 16 n 4 n 19 n 4 n 14392 n ((n - 1) ) (n - 2) 18676 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 15 n 4 n 28168 n ((n - 1) ) (n - 2) 3360 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 5 6 12 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 23 n 4 n 16135 n ((n - 1) ) (n - 2) 161 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 12 n 5 6 12 n 5 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 1603 n ((n - 1) ) (n - 2) 9079 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 12 n 5 6 12 n 5 6 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 24 n 4 n 19 n 3 n 7 n ((n - 1) ) (n - 2) 18697 n ((n - 1) ) (n - 3) + -------------------------- + ------------------------------ 12 n 5 6 9 n 4 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 86744 n ((n - 1) ) (n - 3) 268324 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 560896 n ((n - 1) ) (n - 3) 782768 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 697984 n ((n - 1) ) (n - 3) 358848 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 22 n 3 n 80640 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - ------------------------------ - -------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 203 n ((n - 1) ) (n - 3) 2569 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 9 n 4 7 9 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 8 n 7 n 6 n 7 n (n - 3) 119 n (n - 3) 805 n (n - 3) 2765 n (n - 3) + ------------- - --------------- + --------------- - ---------------- n 6 n 6 n 6 n 6 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 2534 n (n - 3) 2338 n (n - 3) 840 n (n - 3) + ---------------- - ---------------- + --------------- n 6 n 6 n 6 n (n - 3) n (n - 3) n (n - 3) 10 n 6 n 1320907203 n (n - 6) 17003823048 n (n - 6) - ----------------------- - ----------------------- n 11 n 11 2 n (n - 6) n (n - 6) 5 n 8 n 15411980160 n (n - 6) 6393181608 n (n - 6) + ----------------------- - ---------------------- n 11 n 11 n (n - 6) n (n - 6) 9 n 4 n 17 n 2389220262 n (n - 6) 8254224000 n (n - 6) 9 n (n - 6) + ---------------------- - ---------------------- + -------------- n 11 n 11 n 11 n (n - 6) n (n - 6) 2 n (n - 6) 15 n 16 n 14 n 19449 n (n - 6) 621 n (n - 6) 366201 n (n - 6) + ------------------ - ---------------- - ------------------- n 11 n 11 n 11 2 n (n - 6) 2 n (n - 6) 2 n (n - 6) 12 n 11 n 13 n 41484663 n (n - 6) 271809747 n (n - 6) 4627647 n (n - 6) - --------------------- + ---------------------- + -------------------- n 11 n 11 n 11 2 n (n - 6) 2 n (n - 6) 2 n (n - 6) 7 n 3 n 12 n 12433627152 n (n - 6) 1959552000 n (n - 6) 49 n (n - 4) + ----------------------- + ---------------------- + --------------- n 11 n 11 n 8 n (n - 6) n (n - 6) 4 n (n - 4) 11 n 10 n 9 n 1617 n (n - 4) 5733 n (n - 4) 91581 n (n - 4) - ----------------- + ----------------- - ----------------- n 8 n 8 n 8 4 n (n - 4) n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 906549 n (n - 4) 2878113 n (n - 4) 2923879 n (n - 4) + ------------------ - ------------------- + ------------------- n 8 n 8 n 8 4 n (n - 4) 4 n (n - 4) 2 n (n - 4) 5 n 4 n 3 n 1827357 n (n - 4) 1269198 n (n - 4) 370440 n (n - 4) - ------------------- + ------------------- - ------------------ n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 20 n 3 n 19 n 3 n 579106986 n ((n - 1) ) (n - 5) 1684192902 n ((n - 1) ) (n - 5) - ---------------------------------- + ----------------------------------- 10 n 4 10 10 n 4 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 3 n 3771938808 n ((n - 1) ) (n - 5) - ----------------------------------- 10 n 4 10 (n - 1) (n ) (n - 5) 17 n 3 n 6437437320 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 4 10 (n - 1) (n ) (n - 5) 16 n 3 n 8206992864 n ((n - 1) ) (n - 5) - ----------------------------------- 10 n 4 10 (n - 1) (n ) (n - 5) 15 n 3 n 7554137760 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 4 10 (n - 1) (n ) (n - 5) 14 n 3 n 4732369920 n ((n - 1) ) (n - 5) - ----------------------------------- 10 n 4 10 (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 1801419264 n ((n - 1) ) (n - 5) 313528320 n ((n - 1) ) (n - 5) + ----------------------------------- - ---------------------------------- 10 n 4 10 10 n 4 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 23 n 3 n 22 n 3 n 9798987 n ((n - 1) ) (n - 5) 62917593 n ((n - 1) ) (n - 5) + -------------------------------- - --------------------------------- 10 n 4 10 10 n 4 10 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 21 n 3 n 24 n 3 n 307666791 n ((n - 1) ) (n - 5) 1139157 n ((n - 1) ) (n - 5) + ---------------------------------- - -------------------------------- 10 n 4 10 10 n 4 10 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 4) 29 n ((n - 1) ) (n - 4) + ---------------------------- - --------------------------- 12 n 5 10 12 n 5 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 256343 n ((n - 1) ) (n - 4) 971023 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 12 n 5 10 12 n 5 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 10834751 n ((n - 1) ) (n - 4) 22676425 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 5 10 12 n 5 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 35923889 n ((n - 1) ) (n - 4) 43104353 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 5 10 12 n 5 10 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 38876623 n ((n - 1) ) (n - 4) 51792310 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 5 10 12 n 5 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 49345500 n ((n - 1) ) (n - 4) 31745592 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 5 10 12 n 5 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 12328416 n ((n - 1) ) (n - 4) 2177280 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 12 n 5 10 12 n 5 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 1525 n ((n - 1) ) (n - 4) 12055 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 12 n 5 10 12 n 5 10 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 418593 n ((n - 1) ) (n - 4) 1350063 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 10 n 4 9 10 n 4 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 12746607 n ((n - 1) ) (n - 4) 22378182 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 4 9 10 n 4 9 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 3 n 17 n 3 n 58751694 n ((n - 1) ) (n - 4) 114806328 n ((n - 1) ) (n - 4) - --------------------------------- + ---------------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 164395560 n ((n - 1) ) (n - 4) 167267232 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 4 9 10 n 4 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 14 n 12 n 61485 n (n - 7) 12026994 n (n - 7) 723305055 n (n - 7) - ------------------ - --------------------- - ---------------------- n 12 n 12 n 12 n (n - 7) n (n - 7) n (n - 7) 11 n 13 n 15057768759 n (n - 7) 106872810 n (n - 7) + ------------------------ + ---------------------- n 12 n 12 4 n (n - 7) n (n - 7) 7 n 3 n 19 n 187516060668 n (n - 7) 21555072000 n (n - 7) 3 n (n - 7) + ------------------------ + ----------------------- + -------------- n 12 n 12 n 12 n (n - 7) n (n - 7) 4 n (n - 7) 10 n 6 n 30199954587 n (n - 7) 232085034648 n (n - 7) - ------------------------ - ------------------------ n 12 n 12 2 n (n - 7) n (n - 7) 5 n 8 n 193245341760 n (n - 7) 108387578460 n (n - 7) + ------------------------ - ------------------------ n 12 n 12 n (n - 7) n (n - 7) 9 n 4 n 18 n 46467708630 n (n - 7) 96348528000 n (n - 7) 129 n (n - 7) + ----------------------- - ----------------------- - ---------------- n 12 n 12 n 12 n (n - 7) n (n - 7) 2 n (n - 7) 17 n 15 n 2550 n (n - 7) 2022783 n (n - 7) + ----------------- + -------------------- n 12 n 12 n (n - 7) 2 n (n - 7) 19 n 3 n 18 n 3 n 14093925 n ((n - 1) ) (n - 4) 16368180 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 4 7 12 n 4 7 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 28567530 n ((n - 1) ) (n - 4) 36867744 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 34099704 n ((n - 1) ) (n - 4) 21352896 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 8094816 n ((n - 1) ) (n - 4) 1399680 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 76 n ((n - 1) ) (n - 6) 2660 n ((n - 1) ) (n - 6) - --------------------------- + ----------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 16 n 2 n 22964192404 n ((n - 1) ) (n - 6) + ------------------------------------ 7 n 3 11 (n - 1) (n ) (n - 6) 12 n 2 n 113417039808 n ((n - 1) ) (n - 6) + ------------------------------------- 7 n 3 11 (n - 1) (n ) (n - 6) 11 n 2 n 73495157760 n ((n - 1) ) (n - 6) - ------------------------------------ 7 n 3 11 (n - 1) (n ) (n - 6) 14 n 2 n 91132212272 n ((n - 1) ) (n - 6) + ------------------------------------ 7 n 3 11 (n - 1) (n ) (n - 6) 15 n 2 n 52222391552 n ((n - 1) ) (n - 6) - ------------------------------------ 7 n 3 11 (n - 1) (n ) (n - 6) 10 n 2 n 23 n 2 n 28978560000 n ((n - 1) ) (n - 6) 56932 n ((n - 1) ) (n - 6) + ------------------------------------ - ------------------------------ 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 21 n 2 n 22 n 2 n 8885644 n ((n - 1) ) (n - 6) 834410 n ((n - 1) ) (n - 6) - -------------------------------- + ------------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 20 n 2 n 18 n 2 n 71182128 n ((n - 1) ) (n - 6) 2096840317 n ((n - 1) ) (n - 6) + --------------------------------- + ----------------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n 2 n 19 n 2 n 7847964344 n ((n - 1) ) (n - 6) 438095756 n ((n - 1) ) (n - 6) - ----------------------------------- - ---------------------------------- 7 n 3 11 7 n 3 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n 2 n 119422839936 n ((n - 1) ) (n - 6) - ------------------------------------- 7 n 3 11 (n - 1) (n ) (n - 6) 9 n 2 n 27 n 3 n 5225472000 n ((n - 1) ) (n - 6) 189 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------- 7 n 3 11 10 n 4 10 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 5) 28 n 3 n 25 n 3 n 3 n ((n - 1) ) (n - 5) 95541 n ((n - 1) ) (n - 5) - --------------------------- + ------------------------------ 10 n 4 10 10 n 4 10 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 26 n 3 n 17 n 2 n 5451 n ((n - 1) ) (n - 5) 3 n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 10 n 4 10 8 n 3 5 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 15 n ((n - 1) ) (n - 2) 129 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1245 n ((n - 1) ) (n - 2) 7365 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 6825 n ((n - 1) ) (n - 2) 3861 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2430 n ((n - 1) ) (n - 2) 648 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 3 n (n - 1) (n - 3) 42 n (n - 1) (n - 3) - ------------------------- + ------------------------ 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 507 n (n - 1) (n - 3) 3462 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 29463 n (n - 1) (n - 3) 40488 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 71808 n (n - 1) (n - 3) 79128 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 49032 n (n - 1) (n - 3) 12960 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 28 n 6 n 24 n 6 n 279582 n ((n - 1) ) (n - 2) 1173408 n ((n - 1) ) (n - 2) + ------------------------------- + -------------------------------- 21 n 7 5 21 n 7 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 6 n 26 n 6 n 699840 n ((n - 1) ) (n - 2) 1071608 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 21 n 7 5 21 n 7 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 27 n 6 n 22 n 6 n 634804 n ((n - 1) ) (n - 2) 252288 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 21 n 7 5 21 n 7 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 33 n 6 n 34 n 6 n 31 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - --------------------------- + ------------------------ 21 n 7 5 21 n 7 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 32 n 6 n 30 n 6 n 440 n ((n - 1) ) (n - 2) 22033 n ((n - 1) ) (n - 2) + ---------------------------- + ------------------------------ 21 n 7 5 21 n 7 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 29 n 6 n 31 n 6 n 91571 n ((n - 1) ) (n - 2) 3786 n ((n - 1) ) (n - 2) - ------------------------------ - ----------------------------- 21 n 7 5 21 n 7 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 6 n 21 n 6 n 1327856 n ((n - 1) ) (n - 2) 41472 n ((n - 1) ) (n - 2) - -------------------------------- - ------------------------------ 21 n 7 5 21 n 7 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 32 n 5 n 24 n 5 n 3 n ((n - 1) ) (n - 3) 6368442 n ((n - 1) ) (n - 3) - -------------------------- - -------------------------------- 18 n 6 6 18 n 6 6 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 5 n 22 n 5 n 10028844 n ((n - 1) ) (n - 3) 11719032 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 18 n 6 6 18 n 6 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 5 22 n 2 n 48 n ((n - 1) ) 5085 n ((n - 1) ) (n - 5) + ------------------ + ----------------------------- 16 n 5 7 n 3 10 (n - 1) (n ) (n - 1) (n ) (n - 5) 23 n 2 n 16 n 2 n 183 n ((n - 1) ) (n - 5) 6573 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 7 n 3 10 6 n 3 7 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 42945 n ((n - 1) ) (n - 3) 87171 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 228144 n ((n - 1) ) (n - 3) 385056 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 404040 n ((n - 1) ) (n - 3) 238896 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 60480 n ((n - 1) ) (n - 3) 21 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 10 n 2 n 567 n ((n - 1) ) (n - 3) 428582016 n ((n - 1) ) (n - 5) - ---------------------------- + ---------------------------------- 6 n 3 7 8 n 3 9 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 9 n 2 n 19 n 2 n 78382080 n ((n - 1) ) (n - 5) 14618205 n ((n - 1) ) (n - 5) - -------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 80775405 n ((n - 1) ) (n - 5) 337601565 n ((n - 1) ) (n - 5) + --------------------------------- - ---------------------------------- 8 n 3 9 8 n 3 9 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 20 n 2 n 16 n 2 n 1964889 n ((n - 1) ) (n - 5) 3000 n ((n - 1) ) (n - 3) + -------------------------------- + ----------------------------- 8 n 3 9 7 n 3 6 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 3) 16 n n 15 n n 6 n (n - 1) (n - 4) 186 n (n - 1) (n - 4) - ----------------------- + ------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 2532 n (n - 1) (n - 4) 19932 n (n - 1) (n - 4) - -------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 100470 n (n - 1) (n - 4) 338730 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 773088 n (n - 1) (n - 4) 1178208 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 1145664 n (n - 1) (n - 4) 640224 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 20 n 5 n 155520 n (n - 1) (n - 4) 587952 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 4 n 2 7 19 n 6 5 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 199584 n ((n - 1) ) (n - 3) 31104 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 19 n 6 5 19 n 6 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 4) 5 n ((n - 1) ) (n - 4) + --------------------------- - -------------------------- 16 n 5 6 16 n 5 6 16 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 185 n ((n - 1) ) (n - 4) 525 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 16 n 5 6 16 n 5 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 12834845 n ((n - 1) ) (n - 4) 1549025 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 16 n 5 6 16 n 5 6 16 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 9142479 n ((n - 1) ) (n - 4) 2529765 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 16 n 5 6 16 n 5 6 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 2032155 n ((n - 1) ) (n - 4) 1117800 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 376164 n ((n - 1) ) (n - 4) 58320 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 196935 n ((n - 1) ) (n - 4) 320125 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 16 n 5 6 16 n 5 6 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 32717 n ((n - 1) ) (n - 4) 46315 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------ 16 n 5 6 16 n 5 6 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 20 n n 21 n n 96 n (n - 1) (n - 6) 3 n (n - 1) (n - 6) + ------------------------ - -------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 6) 13 n n 9 n n 1163082087 n (n - 1) (n - 6) 5811609384 n (n - 1) (n - 6) - -------------------------------- - ------------------------------- 4 n 2 10 4 n 2 10 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 11 n n 4329593856 n (n - 1) (n - 6) 3392374848 n (n - 1) (n - 6) + ------------------------------- - -------------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n n 7 n n 1618591074 n (n - 1) (n - 6) 1938245760 n (n - 1) (n - 6) + -------------------------------- - ------------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n n 19 n n 49782 n (n - 1) (n - 6) 2808 n (n - 1) (n - 6) + --------------------------- - -------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n n 15 n n 598071 n (n - 1) (n - 6) 32940084 n (n - 1) (n - 6) - ---------------------------- - ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 16 n n 158743146 n (n - 1) (n - 6) 5155974 n (n - 1) (n - 6) + ------------------------------- + ----------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 24 n 2 n 9 n 2 n 3 n ((n - 1) ) (n - 5) 130636800 n ((n - 1) ) (n - 5) + -------------------------- - --------------------------------- 6 n 3 11 6 n 3 11 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 23 n 2 n 16 n 2 n 51 n ((n - 1) ) (n - 5) 396621357 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------------- 6 n 3 11 6 n 3 11 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 12 n 2 n 2002734360 n ((n - 1) ) (n - 5) + ----------------------------------- 6 n 3 11 (n - 1) (n ) (n - 5) 11 n 2 n 1479447936 n ((n - 1) ) (n - 5) - ----------------------------------- 6 n 3 11 (n - 1) (n ) (n - 5) 14 n 2 n 15 n 2 n 1174754406 n ((n - 1) ) (n - 5) 557769696 n ((n - 1) ) (n - 5) + ----------------------------------- - ---------------------------------- 6 n 3 11 6 n 3 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n 2 n 21 n 2 n 654791040 n ((n - 1) ) (n - 5) 14664 n ((n - 1) ) (n - 5) + ---------------------------------- - ------------------------------ 6 n 3 11 6 n 3 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n 2 n 20 n 2 n 6303 n ((n - 1) ) (n - 5) 1470189 n ((n - 1) ) (n - 5) + ----------------------------- + -------------------------------- 6 n 3 11 6 n 3 11 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 18 n 2 n 17 n 2 n 86407629 n ((n - 1) ) (n - 5) 53248767 n ((n - 1) ) (n - 5) + --------------------------------- - --------------------------------- 6 n 3 11 6 n 3 11 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n 2 n 13 n 2 n 3283935 n ((n - 1) ) (n - 5) 1818816144 n ((n - 1) ) (n - 5) - -------------------------------- - ----------------------------------- 6 n 3 11 6 n 3 11 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 22 n n 23 n n 1157 n (n - 1) (n - 7) 25 n (n - 1) (n - 7) - -------------------------- + ------------------------ 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 13 n n 9 n n 373778318108 n (n - 1) (n - 7) 2790608048064 n (n - 1) (n - 7) + ---------------------------------- + ---------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 8 n n 11 n n 2002774222080 n (n - 1) (n - 7) 1819537255680 n (n - 1) (n - 7) - ---------------------------------- + ----------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 12 n n 7 n n 940055722076 n (n - 1) (n - 7) 871378560000 n (n - 1) (n - 7) - ---------------------------------- + --------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 21 n n 20 n n 32911 n (n - 1) (n - 7) 1288921 n (n - 1) (n - 7) + --------------------------- - ----------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) 2 (n - 1) (n ) (n - 7) 18 n n 19 n n 99841374 n (n - 1) (n - 7) 9220705 n (n - 1) (n - 7) - ------------------------------ + ----------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 17 n n 15 n n 836057417 n (n - 1) (n - 7) 28387163090 n (n - 1) (n - 7) + ------------------------------- + --------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 14 n n 16 n n 116071334431 n (n - 1) (n - 7) 21940880533 n (n - 1) (n - 7) - ---------------------------------- - --------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 7) 10 n n 6 n n 2647607094288 n (n - 1) (n - 7) 172440576000 n (n - 1) (n - 7) - ----------------------------------- - --------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 7) (n - 1) (n ) (n - 7) 24 n n 22 n n n (n - 1) (n - 7) 3 n (n - 1) (n - 6) - -------------------------- - -------------------------- 3 n 2 13 3 n 2 12 4 (n - 1) (n ) (n - 7) 4 (n - 1) (n ) (n - 6) 8 n n 11 n n 74721337920 n (n - 1) (n - 6) 53215161900 n (n - 1) (n - 6) - -------------------------------- + --------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 12 n n 7 n n 24684638970 n (n - 1) (n - 6) 34511184000 n (n - 1) (n - 6) - --------------------------------- + -------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 21 n n 20 n n 123 n (n - 1) (n - 6) 2310 n (n - 1) (n - 6) + -------------------------- - -------------------------- 3 n 2 12 3 n 2 12 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n n 19 n n 1636023 n (n - 1) (n - 6) 52725 n (n - 1) (n - 6) - ----------------------------- + --------------------------- 3 n 2 12 3 n 2 12 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n n 15 n n 9141708 n (n - 1) (n - 6) 480591375 n (n - 1) (n - 6) + ----------------------------- + ------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 16 n n 9310016199 n (n - 1) (n - 6) 76076550 n (n - 1) (n - 6) - -------------------------------- - ------------------------------ 3 n 2 12 3 n 2 12 4 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 85000246188 n (n - 1) (n - 6) 7185024000 n (n - 1) (n - 6) - --------------------------------- - ------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 13 n n 9 n n 17327674749 n (n - 1) (n - 6) 97115678856 n (n - 1) (n - 6) + --------------------------------- + -------------------------------- 3 n 2 12 3 n 2 12 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 19 n n 17 n n 33 n (n - 1) (n - 5) 17583 n (n - 1) (n - 5) + -------------------------- + --------------------------- 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 15 n n 14 n n 1769559 n (n - 1) (n - 5) 21724307 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n n 10 n n 419731 n (n - 1) (n - 5) 371208956 n (n - 1) (n - 5) - ---------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 20 n n 43545600 n (n - 1) (n - 5) n (n - 1) (n - 5) - ----------------------------- - -------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 13 n n 9 n n 49274049 n (n - 1) (n - 5) 470126184 n (n - 1) (n - 5) + ------------------------------ + ------------------------------ 3 n 2 11 3 n 2 11 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 394903872 n (n - 1) (n - 5) 205980324 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 7 n n 82933070 n (n - 1) (n - 5) 196490880 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 13 n n 1969 n (n - 1) (n - 5) 7434001509 n (n - 1) (n - 6) - -------------------------- + -------------------------------- 3 n 2 11 4 n 2 11 4 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 6) 9 n n 8 n n 62445687696 n (n - 1) (n - 6) 45234184320 n (n - 1) (n - 6) + -------------------------------- - -------------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 12 n n 39177016152 n (n - 1) (n - 6) 19578285588 n (n - 1) (n - 6) + --------------------------------- - --------------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 7 n n 20 n n 19774368000 n (n - 1) (n - 6) 3768 n (n - 1) (n - 6) + -------------------------------- - -------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n n 19 n n 1095891 n (n - 1) (n - 6) 77862 n (n - 1) (n - 6) - ----------------------------- + --------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 17 n n 15 n n 11136684 n (n - 1) (n - 6) 488143986 n (n - 1) (n - 6) + ------------------------------ + ------------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 16 n n 4337945007 n (n - 1) (n - 6) 84499824 n (n - 1) (n - 6) - -------------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 2 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 58344286104 n (n - 1) (n - 6) 3919104000 n (n - 1) (n - 6) - --------------------------------- - ------------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 18 n 2 n 17 n 2 n 6342 n ((n - 1) ) (n - 4) 60291 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 741825 n ((n - 1) ) (n - 4) 3101553 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 4497087 n ((n - 1) ) (n - 4) 9045624 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 12365472 n ((n - 1) ) (n - 4) 10934280 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 5621616 n ((n - 1) ) (n - 4) 1270080 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 21 n ((n - 1) ) (n - 4) 777 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 6 n 3 8 6 n 3 8 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n 10 n 9 n 8 n 3 n (n - 4) 78 n (n - 4) 858 n (n - 4) 5208 n (n - 4) + -------------- - --------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) n (n - 4) 7 n 6 n 5 n 19047 n (n - 4) 42882 n (n - 4) 57852 n (n - 4) + ----------------- - ----------------- + ----------------- n 7 n 7 n 7 n (n - 4) n (n - 4) n (n - 4) 4 n 3 n 5 n 42552 n (n - 4) 12960 n (n - 4) 17284750560 n (n - 6) - ----------------- + ----------------- - ----------------------- n 7 n 7 n 12 n (n - 4) n (n - 4) n (n - 6) 8 n 9 n 8045977415 n (n - 6) 12706790635 n (n - 6) + ---------------------- - ----------------------- n 12 n 12 n (n - 6) 4 n (n - 6) 4 n 18 n 17 n 9017946000 n (n - 6) 7 n (n - 6) 35 n (n - 6) + ---------------------- + --------------- - --------------- n 12 n 12 n 12 n (n - 6) 16 n (n - 6) n (n - 6) 15 n 16 n 14 n 112805 n (n - 6) 2555 n (n - 6) 3366167 n (n - 6) - ------------------- + ----------------- + -------------------- n 12 n 12 n 12 4 n (n - 6) 2 n (n - 6) 8 n (n - 6) 12 n 11 n 13 n 35395745 n (n - 6) 838213915 n (n - 6) 17964485 n (n - 6) + --------------------- - ---------------------- - --------------------- n 12 n 12 n 12 n (n - 6) 4 n (n - 6) 4 n (n - 6) 7 n 3 n 3 n 14950222945 n (n - 6) 2095632000 n (n - 6) 5443200 n (n - 5) - ----------------------- - ---------------------- - ------------------- n 12 n 12 n 11 n (n - 6) n (n - 6) n (n - 5) 10 n 6 n 15017659811 n (n - 6) 19683031053 n (n - 6) + ------------------------ + ----------------------- n 12 n 12 16 n (n - 6) n (n - 6) 10 n 6 n 5 n 16073123 n (n - 5) 39544221 n (n - 5) 38443104 n (n - 5) + --------------------- + -------------------- - -------------------- n 11 n 11 n 11 16 n (n - 5) n (n - 5) n (n - 5) 8 n 9 n 4 n 12433036 n (n - 5) 16600463 n (n - 5) 21839760 n (n - 5) + -------------------- - -------------------- + -------------------- n 11 n 11 n 11 n (n - 5) 4 n (n - 5) n (n - 5) 15 n 16 n 14 n 4 n (n - 5) n (n - 5) 1841 n (n - 5) - -------------- + --------------- + ----------------- n 11 n 11 n 11 n (n - 5) 16 n (n - 5) 16 n (n - 5) 12 n 11 n 13 n 356763 n (n - 5) 353199 n (n - 5) 7871 n (n - 5) + ------------------- - ------------------- - ----------------- n 11 n 11 n 11 16 n (n - 5) 2 n (n - 5) 4 n (n - 5) 7 n 15 n 5 16 n 5 26629009 n (n - 5) 162 n ((n - 1) ) 621 n ((n - 1) ) - -------------------- - ------------------- + ------------------- n 11 19 n 5 19 n 5 n (n - 5) (n - 1) (n ) (n - 1) (n ) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 11 n ((n - 1) ) 107 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 19 n 5 19 n 5 19 n 5 16 (n - 1) (n ) 8 (n - 1) (n ) 8 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 151 n ((n - 1) ) 4361 n ((n - 1) ) 5221 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 19 n 5 19 n 5 19 n 5 2 (n - 1) (n ) 16 (n - 1) (n ) 8 (n - 1) (n ) 18 n 5 17 n 5 28 n 6 2073 n ((n - 1) ) 1053 n ((n - 1) ) n ((n - 1) ) + -------------------- - -------------------- - ----------------- 19 n 5 19 n 5 22 n 6 2 (n - 1) (n ) (n - 1) (n ) 4 (n - 1) (n ) 27 n 6 26 n 6 25 n 6 6 n ((n - 1) ) 129 n ((n - 1) ) 409 n ((n - 1) ) + ----------------- - ------------------- + ------------------- 22 n 6 22 n 6 22 n 6 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 24 n 6 23 n 6 22 n 6 6777 n ((n - 1) ) 4791 n ((n - 1) ) 9367 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 22 n 6 22 n 6 22 n 6 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 21 n 6 20 n 6 19 n 6 12504 n ((n - 1) ) 10908 n ((n - 1) ) 5616 n ((n - 1) ) + --------------------- - --------------------- + -------------------- 22 n 6 22 n 6 22 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 19 n 20 n 21 n 110169 n (n - 8) 6483 n (n - 8) 59 n (n - 8) - ------------------- + ----------------- - --------------- n 14 n 14 n 14 8 n (n - 8) 16 n (n - 8) 8 n (n - 8) 22 n 10 n n (n - 8) 2960492111035 n (n - 8) + --------------- + -------------------------- n 14 n 14 16 n (n - 8) n (n - 8) 6 n 5 n 26708814493848 n (n - 8) 20300419856160 n (n - 8) + -------------------------- - -------------------------- n 14 n 14 n (n - 8) n (n - 8) 8 n 9 n 15670584850827 n (n - 8) 7737635439187 n (n - 8) + -------------------------- - ------------------------- n 14 n 14 n (n - 8) n (n - 8) 4 n 19 n 3 n 9362276784000 n (n - 8) 2 n ((n - 1) ) (n - 2) + ------------------------- - -------------------------- n 14 9 n 4 5 n (n - 8) (n - 1) (n ) (n - 2) 10 n n 9 n n 1180631664 n (n - 1) (n - 5) 1557205776 n (n - 1) (n - 5) + -------------------------------- - ------------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 1352484864 n (n - 1) (n - 5) 691690752 n (n - 1) (n - 5) + ------------------------------- - ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n n 156764160 n (n - 1) (n - 5) 12681 n (n - 1) (n - 5) + ------------------------------ - --------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n n 15 n n 189684 n (n - 1) (n - 5) 1880739 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 19 n 3 n 504 n (n - 1) (n - 5) 183645 n ((n - 1) ) (n - 3) + ------------------------- - ------------------------------- 3 n 2 10 10 n 4 7 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 679572 n ((n - 1) ) (n - 3) 1756116 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 3169872 n ((n - 1) ) (n - 3) 3916656 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 3153600 n ((n - 1) ) (n - 3) 1487808 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 311040 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 288 n ((n - 1) ) (n - 3) 4086 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 4 7 10 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 21 n 2 n 33948 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 4) + ------------------------------ + -------------------------- 10 n 4 7 8 n 3 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 162 n ((n - 1) ) (n - 4) 5247 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 25281 n ((n - 1) ) (n - 4) 322983 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 720504 n ((n - 1) ) (n - 4) 4604337 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 5307021 n ((n - 1) ) (n - 4) 8756424 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 10078344 n ((n - 1) ) (n - 4) 7672968 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 3464208 n ((n - 1) ) (n - 4) 699840 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 7191 n ((n - 1) ) (n - 2) 58167 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 79605 n ((n - 1) ) (n - 2) 149256 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 189144 n ((n - 1) ) (n - 2) 154872 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 73872 n ((n - 1) ) (n - 2) 15552 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 5 5 14 n 5 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 450045 n ((n - 1) ) (n - 3) 1094562 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1870848 n ((n - 1) ) (n - 3) 2201184 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1696464 n ((n - 1) ) (n - 3) 769824 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 23 n 3 n 155520 n ((n - 1) ) (n - 3) 9 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 261 n ((n - 1) ) (n - 3) 3384 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 25902 n ((n - 1) ) (n - 3) 130077 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n n (n - 1) (n - 2) 15 n (n - 1) (n - 2) - ----------------------- + ------------------------ 4 n 2 5 4 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 13274 n ((n - 1) ) (n - 4) 112983 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 674076 n ((n - 1) ) (n - 4) 2900717 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 9117354 n ((n - 1) ) (n - 4) 20933088 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 34671376 n ((n - 1) ) (n - 4) 40254288 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 31002912 n ((n - 1) ) (n - 4) 14179968 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 22 n 2 n 2903040 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------ 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 48 n ((n - 1) ) (n - 4) 1035 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 7 n 3 9 7 n 3 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 81049157 n (n - 1) (n - 5) 335555563 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 12 n n 11 n n 259020097 n (n - 1) (n - 5) 593255768 n (n - 1) (n - 5) - ------------------------------- + ------------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 9 n n 991491816 n (n - 1) (n - 5) 1171353204 n (n - 1) (n - 5) - ------------------------------- + ------------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 7 n n 923444928 n (n - 1) (n - 5) 433968192 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 17 n n 91445760 n (n - 1) (n - 5) 177121 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n n 15 n n 1905393 n (n - 1) (n - 5) 14534247 n (n - 1) (n - 5) - ----------------------------- + ------------------------------ 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 18 n n 16 n n 11039 n (n - 1) (n - 5) 943 n (n - 1) (n - 4) - --------------------------- - ------------------------- 4 n 2 10 4 n 2 9 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 4) 15 n n 14 n n 2847 n (n - 1) (n - 4) 90207 n (n - 1) (n - 4) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 12 n n 246831 n (n - 1) (n - 4) 1913393 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 1322642 n (n - 1) (n - 4) 2587988 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 3491868 n (n - 1) (n - 4) 3079836 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1591056 n (n - 1) (n - 4) 362880 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 20 n n 413 n (n - 1) (n - 5) 7 n (n - 1) (n - 5) + -------------------------- - -------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 18 n n 17 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ------------------------- + ------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) and in Maple notation -3888*n^21*((n-1)^n)^7/(n-1)^25/(n^n)^7+3612483/4/(n^n)*n^11*(n-5)^n/(n-5)^10-\ 11606301/2/(n^n)*n^10*(n-5)^n/(n-5)^10+105409563/4/(n^n)*n^9*(n-5)^n/(n-5)^10-\ 170171631/2/(n^n)*n^8*(n-5)^n/(n-5)^10+193516869/(n^n)*n^7*(n-5)^n/(n-5)^10-\ 301668066/(n^n)*n^6*(n-5)^n/(n-5)^10+305033904/(n^n)*n^5*(n-5)^n/(n-5)^10-\ 178881696/(n^n)*n^4*(n-5)^n/(n-5)^10+45722880/(n^n)*n^3*(n-5)^n/(n-5)^10-567/2/ (n^n)*n^14*(n-5)^n/(n-5)^10+27321/4/(n^n)*n^13*(n-5)^n/(n-5)^10-193977/2/(n^n)* n^12*(n-5)^n/(n-5)^10+21/4/(n^n)*n^15*(n-5)^n/(n-5)^10-3*n^21*((n-1)^n)^3/(n-1) ^11/(n^n)^4*(n-2)^n/(n-2)^5+66*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^ 5-636*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+3522*n^18*((n-1)^n)^3/( n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-12345*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n /(n-2)^5+28380*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5-42744*n^15*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+40608*n^14*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-2)^n/(n-2)^5-22032*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+5184 *n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^5+21/4*n^19*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-3)^n/(n-3)^6-567/4*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^ 6+209685/4*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-630735/4*n^14*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+323127*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-3)^n/(n-3)^6-445074*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6+393876* n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-201852*n^10*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-3)^n/(n-3)^6+45360*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6 +3381/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-23457/2*n^16*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^6-180*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n /(n-3)^7+2364*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-17904*n^16*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+86622*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*( n-3)^n/(n-3)^7-279804*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+611136*n ^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7-890976*n^12*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-3)^n/(n-3)^7+829152*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^ 7-444096*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+103680*n^9*((n-1)^n)^ 2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^7+6*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n -3)^7-21/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+399*n^16*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^8-13419/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+ 65898*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-839979/2*n^13*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^8+1823535*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-\ 11004693/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+11532192*n^10*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-16437960*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-\ 4)^8+15154776*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8-8114904*n^7*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^8+1905120*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^8+129*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-2442*n^15*(n-1)^n/(n-1)^3/ (n^n)^2*(n-4)^n/(n-4)^9+26838*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-\ 190107*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+910665*n^12*(n-1)^n/(n-1)^3 /(n^n)^2*(n-4)^n/(n-4)^9-3008184*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+ 6847152*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-10514400*n^9*(n-1)^n/(n-1) ^3/(n^n)^2*(n-4)^n/(n-4)^9+10359216*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9 -5880384*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9+1451520*n^6*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^9-3*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^9-1296*n ^18*((n-1)^n)^6/(n-1)^22/(n^n)^6+111195/2*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-\ 2)^n/(n-2)^4-40635*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+17577*n^16 *((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-3402*n^15*((n-1)^n)^4/(n-1)^16/(n ^n)^5*(n-2)^n/(n-2)^4+7/16*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-91 /8*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+2135/16*n^24*((n-1)^n)^4/( n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-7455/8*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^ n/(n-2)^4+68845/16*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-110285/8*n ^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+500045/16*n^20*((n-1)^n)^4/(n-\ 1)^16/(n^n)^5*(n-2)^n/(n-2)^4-400785/8*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^ n/(n-2)^4+n^26*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-27*n^25*((n-1)^n)^4 /(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+328*n^24*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n /(n-2)^5-2366*n^23*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+11257*n^22*((n-\ 1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-37079*n^21*((n-1)^n)^4/(n-1)^15/(n^n)^ 5*(n-2)^n/(n-2)^5+86238*n^20*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-\ 141536*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5+160512*n^18*((n-1)^n)^ 4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-119664*n^17*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-\ 2)^n/(n-2)^5+52704*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-10368*n^15 *((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-2)^n/(n-2)^5-1901431/4*n^18*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-3)^n/(n-3)^6+2004541/2*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/ (n-3)^6-1519336*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+1613892*n^15* ((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-1139292*n^14*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^6+479304*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^ 6-90720*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-10657*n^16*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+14070*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2 )^n/(n-2)^5-11988*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+5940*n^13*( (n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-1296*n^12*((n-1)^n)^3/(n-1)^12/(n^n )^4*(n-2)^n/(n-2)^5-1/4*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+25/4* n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-139/2*n^20*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^5+905/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2 )^5-7637/4*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5+21805/4*n^17*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^5-7/4*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*( n-3)^n/(n-3)^6+56*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6-3241/4*n^22 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+14021/2*n^21*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-3)^n/(n-3)^6-161609/4*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-\ 3)^6+163387*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^6+410169/2*n^19*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-632472*n^18*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-3)^n/(n-3)^7+1406370*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-\ 2237712*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+2483928*n^15*((n-1)^n )^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-1824768*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4* (n-3)^n/(n-3)^7+795744*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-155520 *n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-3/2*n^24*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-3)^n/(n-3)^7+105/2*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3 )^7-825*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+7701*n^21*((n-1)^n)^3 /(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-95163/2*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 3)^n/(n-3)^7+70167/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-269835/8* n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+362637/4*n^14*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^7-170274*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^7+218880*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-183222*n^11*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+89748*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -3)^n/(n-3)^7-19440*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+1579473/8*n ^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-8637741/8*n^17*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-4)^n/(n-4)^8+34279917/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^8-99970269/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+107112999/ 4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-41634432*n^13*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^8+45629136*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^8-33352074*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+14553756*n^ 10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-2857680*n^9*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-4)^n/(n-4)^8-903/8*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+ 17535/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-203679/8*n^19*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+21/8*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4) ^n/(n-4)^8+3/8*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-99/8*n^19*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+363/2*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-3)^n/(n-3)^7-6249/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-576*n^18 *((n-1)^n)^6/(n-1)^20/(n^n)^6+2592*n^21*((n-1)^n)^7/(n-1)^24/(n^n)^7-9797760*n^ 15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8-118899/4*n^27*((n-1)^n)^4/(n-1) ^14/(n^n)^5*(n-4)^n/(n-4)^8+1056141/4*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n /(n-4)^8-6758721/4*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8+9099/4*n^ 28*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8-4479/2*n^26*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-5)^n/(n-5)^9+171/2*n^27*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5 )^9-3/2*n^28*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9-781533/2*n^24*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9+71583/2*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4 *(n-5)^n/(n-5)^9+794606370*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9-\ 1673060184*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9+2695712088*n^17*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9-3257896032*n^16*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-5)^n/(n-5)^9+2854052064*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/( n-5)^9-1708314624*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9+623697408*n ^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9-104509440*n^12*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-5)^n/(n-5)^9-36670605/2*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5 )^n/(n-5)^9+166384125/2*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9-\ 291878610*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9+6182661/2*n^23*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^9-9/2*n^26*((n-1)^n)^3/(n-1)^11/(n^n)^4* (n-4)^n/(n-4)^8+5055723/2*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-\ 22095171/2*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8+72227187/2*n^19*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-88749972*n^18*((n-1)^n)^3/(n-1)^11/( n^n)^4*(n-4)^n/(n-4)^8+163184454*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4 )^8-220968000*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8+213617736*n^15* ((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-139299264*n^14*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-4)^n/(n-4)^8+54797472*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/( n-4)^8-9797760*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-8289/2*n^24*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8+102321/2*n^23*((n-1)^n)^3/(n-1)^11/( n^n)^4*(n-4)^n/(n-4)^8-851499/2*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4) ^8+405/2*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^8-495/4*n^23*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9+9/4*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n /(n-5)^9-189855/4*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9+12447/4*n^22 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9+538034265/2*n^16*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-5)^n/(n-5)^9-653875290*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/( n-5)^9+1201839696*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9-1639888740*n ^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^9+1607066568*n^12*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-5)^n/(n-5)^9-1066944960*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^ n/(n-5)^9+73824191/4/(n^n)*n^10*(n-6)^n/(n-6)^10+604458078/(n^n)*n^6*(n-6)^n/(n -6)^10-568017072/(n^n)*n^5*(n-6)^n/(n-6)^10+412630631/2/(n^n)*n^8*(n-6)^n/(n-6) ^10-289130359/4/(n^n)*n^9*(n-6)^n/(n-6)^10+313377120/(n^n)*n^4*(n-6)^n/(n-6)^10 -413/4/(n^n)*n^15*(n-6)^n/(n-6)^10+7/4/(n^n)*n^16*(n-6)^n/(n-6)^10+10997/4/(n^n )*n^14*(n-6)^n/(n-6)^10+1850751/4/(n^n)*n^12*(n-6)^n/(n-6)^10-13758339/4/(n^n)* n^11*(n-6)^n/(n-6)^10-174853/4/(n^n)*n^13*(n-6)^n/(n-6)^10-423084137/(n^n)*n^7* (n-6)^n/(n-6)^10-76204800/(n^n)*n^3*(n-6)^n/(n-6)^10-32199/2*n^23*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10+3297/4*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n /(n-6)^10+628*n^23*((n-1)^n)^6/(n-1)^20/(n^n)^6-1740*n^22*((n-1)^n)^6/(n-1)^20/ (n^n)^6+3072*n^21*((n-1)^n)^6/(n-1)^20/(n^n)^6-3376*n^20*((n-1)^n)^6/(n-1)^20/( n^n)^6+2112*n^19*((n-1)^n)^6/(n-1)^20/(n^n)^6-n^26*((n-1)^n)^6/(n-1)^20/(n^n)^6 +18*n^25*((n-1)^n)^6/(n-1)^20/(n^n)^6-141*n^24*((n-1)^n)^6/(n-1)^20/(n^n)^6+ 342027/4*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-2136519/4*n^18*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+9832983/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-5)^n/(n-5)^8-33869991/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+ 43864791/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-42499266*n^14*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+60619104*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-5)^n/(n-5)^8-61676748*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+ 42274872*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-17449344*n^10*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+3265920*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -5)^n/(n-5)^8+3021/4*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8-39117/4*n ^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+3/4*n^23*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-5)^n/(n-5)^8-141/4*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^8+ 201792*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-88416*n^19*((n-1)^n)^5 /(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+239640*n^22*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2 )^n/(n-2)^6-271560*n^21*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+17280*n^18 *((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-145674*n^23*((n-1)^n)^5/(n-1)^16/ (n^n)^6*(n-2)^n/(n-2)^6+3870*n^26*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-\ 37407/2*n^25*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+62256*n^24*((n-1)^n)^ 5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6+42*n^28*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n /(n-2)^6-525*n^27*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-3/2*n^29*((n-1)^ n)^5/(n-1)^16/(n^n)^6*(n-2)^n/(n-2)^6-697908*n^22*((n-1)^n)^4/(n-1)^13/(n^n)^5* (n-3)^n/(n-3)^7+2076840*n^21*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-\ 4454736*n^20*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+6837600*n^19*((n-1)^n )^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-7324608*n^18*((n-1)^n)^4/(n-1)^13/(n^n)^5* (n-3)^n/(n-3)^7+5196672*n^17*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-\ 2191104*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+414720*n^15*((n-1)^n) ^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+6*n^27*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n /(n-3)^7-204*n^26*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7+3108*n^25*((n-1) ^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-28080*n^24*((n-1)^n)^4/(n-1)^13/(n^n)^5* (n-3)^n/(n-3)^7-2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+24*n^10*(n-1)^n/ (n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-110*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5 +240*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5-248*n^7*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-2)^n/(n-2)^5+96*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^5+167694*n^23*(( n-1)^n)^4/(n-1)^13/(n^n)^5*(n-3)^n/(n-3)^7-608931*n^21*((n-1)^n)^3/(n-1)^10/(n^ n)^4*(n-4)^n/(n-4)^8+3228930*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-\ 12408381*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+35002044*n^18*((n-1) ^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-72493812*n^17*((n-1)^n)^3/(n-1)^10/(n^n) ^4*(n-4)^n/(n-4)^8+108887472*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-\ 115273584*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+81414720*n^14*((n-1 )^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-34354368*n^13*((n-1)^n)^3/(n-1)^10/(n^n )^4*(n-4)^n/(n-4)^8+6531840*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+ 378*n^24*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8-7155*n^23*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-4)^n/(n-4)^8+80856*n^22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/( n-4)^8-9*n^25*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^8+4*n^24*((n-1)^n)^4/( n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-84*n^23*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n -2)^5+772*n^22*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-4076*n^21*((n-1)^n) ^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5+13624*n^20*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-\ 2)^n/(n-2)^5-29888*n^19*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5+43008*n^18 *((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-39104*n^17*((n-1)^n)^4/(n-1)^13/( n^n)^5*(n-2)^n/(n-2)^5+20352*n^16*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-\ 4608*n^15*((n-1)^n)^4/(n-1)^13/(n^n)^5*(n-2)^n/(n-2)^5-51006*n^18*((n-1)^n)^3/( n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+147012*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^ n/(n-3)^6-288672*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+381216*n^15* ((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-323808*n^14*((n-1)^n)^3/(n-1)^10/( n^n)^4*(n-3)^n/(n-3)^6+159552*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6 -34560*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6-6*n^22*((n-1)^n)^3/(n-\ 1)^10/(n^n)^4*(n-3)^n/(n-3)^6+156*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-\ 3)^6-1788*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+11904*n^19*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^6+4*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n /(n-4)^7-132*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+1936*n^18*((n-1)^ n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-16664*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 4)^n/(n-4)^7+93556*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-359780*n^15 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+967032*n^14*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-4)^n/(n-4)^7-1816256*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+ 2334720*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-1954368*n^11*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7+957312*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4 )^n/(n-4)^7-207360*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^7-791*n^16*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+8832*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/ (n-5)^8-65103*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+333666*n^13*(n-1)^n/ (n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-1218713*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^8+3194436*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-5958736*n^10*(n-1)^n /(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+7705392*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^8-6546096*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+3272832*n^7*(n-1)^n/( n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8-725760*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5) ^8-n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^8+42*n^17*(n-1)^n/(n-1)^4/(n^n)^2 *(n-5)^n/(n-5)^8-26684*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^6+3/4*n^ 27*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-57/2*n^26*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-3)^n/(n-3)^8+963/2*n^25*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8 -4785*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+124707/4*n^23*((n-1)^n) ^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-280881/2*n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5* (n-3)^n/(n-3)^8+448953*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-\ 1027218*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+1670940*n^19*((n-1)^n )^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-1885656*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5* (n-3)^n/(n-3)^8+1401648*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8-\ 616032*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+120960*n^15*((n-1)^n)^ 4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^8+37122*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4) ^n/(n-4)^9-307227*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^9+1778445*n^20 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^9-7411272*n^19*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-4)^n/(n-4)^9+22522548*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^ 9-49935744*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^9+9/2*n^27*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-279/2*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3 )^n/(n-3)^6+1953*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6-16335*n^24*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^6+181881/2*n^23*((n-1)^n)^4/(n-1)^14/ (n^n)^5*(n-3)^n/(n-3)^6-710199/2*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3 )^6-3*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+114*n^24*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-4)^n/(n-4)^7-1965*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/( n-4)^7+20352*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7-141369*n^21*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+695658*n^20*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-4)^n/(n-4)^7-2495451*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+ 6607572*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7-12913644*n^17*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+18394128*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^ 4*(n-4)^n/(n-4)^7-18553104*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+ 12540096*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7-5085504*n^13*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^7+933120*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4* (n-4)^n/(n-4)^7-91*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+285*n^9*(n-1)^n /(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-484*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^ 5+420*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-144*n^6*(n-1)^n/(n-1)^4/(n^n) ^2*(n-2)^n/(n-2)^5+6*n^23*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+7362*n^21 *((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-312*n^22*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-5)^n/(n-5)^9-124321332*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+ 344415024*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-710422368*n^14*((n-1 )^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+1073638752*n^13*((n-1)^n)^2/(n-1)^7/(n^n )^3*(n-5)^n/(n-5)^9-1152120384*n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9 +829149696*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-357737472*n^10*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+69672960*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^ 3*(n-5)^n/(n-5)^9+996474*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-\ 6756048*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9+33582126*n^17*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^9-104484*n^20*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 5)^n/(n-5)^9+4616*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-19642*n^11*(n-1) ^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+53984*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^7-95744*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+105504*n^8*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^7-65376*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7+ 17280*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-1/4*n^28*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-5)^n/(n-5)^11-174182400*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-\ 5)^11-2237/4*n^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+636260702*n^19*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+3656611104*n^15*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-5)^n/(n-5)^11-2409124608*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/( n-5)^11+2778883304*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-1526862532 *n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+960145920*n^13*((n-1)^n)^3/( n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-568271/4*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5) ^n/(n-5)^11+21653/2*n^25*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+2679353/2 *n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+99800899/2*n^21*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-203205475*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 5)^n/(n-5)^11-37559703/4*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-\ 3760244432*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11+35/2*n^27*((n-1)^n )^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^11-9072*n^24*((n-1)^n)^8/(n-1)^28/(n^n)^8+ 4050*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-47583*n^18*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-4)^n/(n-4)^9+731349/2*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n /(n-4)^9-3872637/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+7244271*n^ 15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-19295280*n^14*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-4)^n/(n-4)^9+36313056*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-\ 4)^9-47082024*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+39898224*n^11*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-19818432*n^10*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-4)^n/(n-4)^9+4354560*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9+9/ 2*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^9-405/2*n^20*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-4)^n/(n-4)^9+13044672*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 10-65072043*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+236212452*n^12*(n-1)^ n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-623466000*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5) ^n/(n-5)^10+3*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-42*n^14*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+237*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^ n/(n-2)^5-690*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5+1092*n^11*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-888*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2 )^n/(n-2)^5+288*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^5-6*n^13*(n-1)^n/ (n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+114*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 6-894*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+3750*n^10*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^6-9084*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+12696*n^ 8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6-9456*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3 )^n/(n-3)^6+2880*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^6+1/2*n^21*((n-1)^n) ^5/(n-1)^16/(n^n)^5-13/2*n^20*((n-1)^n)^5/(n-1)^16/(n^n)^5+35*n^19*((n-1)^n)^5/ (n-1)^16/(n^n)^5-100*n^18*((n-1)^n)^5/(n-1)^16/(n^n)^5+160*n^17*((n-1)^n)^5/(n-\ 1)^16/(n^n)^5-136*n^16*((n-1)^n)^5/(n-1)^16/(n^n)^5+1/2/(n^n)*n^13*(n-5)^n/(n-5 )^8-37/2/(n^n)*n^12*(n-5)^n/(n-5)^8+300/(n^n)*n^11*(n-5)^n/(n-5)^8-2805/(n^n)*n ^10*(n-5)^n/(n-5)^8+33453/2/(n^n)*n^9*(n-5)^n/(n-5)^8-132741/2/(n^n)*n^8*(n-5)^ n/(n-5)^8+177145/(n^n)*n^7*(n-5)^n/(n-5)^8-313270/(n^n)*n^6*(n-5)^n/(n-5)^8+ 350148/(n^n)*n^5*(n-5)^n/(n-5)^8-222336/(n^n)*n^4*(n-5)^n/(n-5)^8+60480/(n^n)*n ^3*(n-5)^n/(n-5)^8-10287*n^27*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7+ 84973*n^26*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7-508205*n^25*((n-1)^n)^4 /(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7+2273985*n^24*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-\ 4)^n/(n-4)^7-7752925*n^23*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7+20308070 *n^22*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7-40869260*n^21*((n-1)^n)^4/(n -1)^15/(n^n)^5*(n-4)^n/(n-4)^7+62668536*n^20*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4) ^n/(n-4)^7-71890128*n^19*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7+59701536* n^18*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7-33867072*n^17*((n-1)^n)^4/(n-\ 1)^15/(n^n)^5*(n-4)^n/(n-4)^7+11726208*n^16*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^ n/(n-4)^7-1866240*n^15*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7-1/4*n^28*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+13*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-5)^n/(n-5)^8-1880645*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+ 7987835*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-105359145/4*n^20*((n-\ 1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+67655410*n^19*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-5)^n/(n-5)^8-134903269*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^ 8+206589288*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-238124412*n^16*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+199628064*n^15*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-5)^n/(n-5)^8-114720624*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-\ 5)^8+40341888*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-6531840*n^12*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8-92623/2*n^24*((n-1)^n)^3/(n-1)^12/(n ^n)^4*(n-5)^n/(n-5)^8+340113*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^8+ 450*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-9*n^19*(n-1)^n/(n-1)^4/(n^n)^2 *(n-5)^n/(n-5)^9-34992369*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+ 116497260*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-283628016*n^11*(n-1)^n/( n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+498377520*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/( n-5)^9-613703088*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+500774400*n^8*(n-1 )^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-242175744*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^9+52254720*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+136440*n^16*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-1221831*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^9+7690410*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9-10143*n^17*(n-1 )^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^9+3/4*n^31*((n-1)^n)^7/(n-1)^24/(n^n)^7-69/4* n^30*((n-1)^n)^7/(n-1)^24/(n^n)^7+711/4*n^29*((n-1)^n)^7/(n-1)^24/(n^n)^7-4323/ 4*n^28*((n-1)^n)^7/(n-1)^24/(n^n)^7+8589/2*n^27*((n-1)^n)^7/(n-1)^24/(n^n)^7-\ 11655*n^26*((n-1)^n)^7/(n-1)^24/(n^n)^7+21882*n^25*((n-1)^n)^7/(n-1)^24/(n^n)^7 -28068*n^24*((n-1)^n)^7/(n-1)^24/(n^n)^7+23544*n^23*((n-1)^n)^7/(n-1)^24/(n^n)^ 7-11664*n^22*((n-1)^n)^7/(n-1)^24/(n^n)^7-207/8*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-6)^n/(n-6)^10+3/8*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10+ 14974576479/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10+14613967836*n^ 12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10-9015175584*n^11*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-6)^n/(n-6)^10+13108049208*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6 )^n/(n-6)^10-7981672089*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10+ 3397256640*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10-8445021/4*n^21*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10+863829/4*n^22*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-6)^n/(n-6)^10+15577095*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^ 10+3145794555/8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10-10957510335/8 *n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10-177189705/2*n^19*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^10-16226811702*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3* 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n/(n-4)^8-166698000*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8+59696352* n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^8-114278688*n^14*((n-1)^n)^3/(n -1)^10/(n^n)^4*(n-4)^n/(n-4)^9+46894464*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4) ^n/(n-4)^9-8709120*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9-3/2*n^26*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9+75*n^25*((n-1)^n)^3/(n-1)^10/(n^n)^ 4*(n-4)^n/(n-4)^9-3393/2*n^24*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9+ 23016*n^23*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9-213280233*n^17*((n-1)^n )^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+731653506*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3 *(n-5)^n/(n-5)^10-1905078792*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+ 3733720032*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10-5407434576*n^13*(( n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n-5)^10+5599116576*n^12*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-5)^n/(n-5)^10-3910042368*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-5)^n/(n 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6+12*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-3)^n/(n-3)^6-288*n^17*((n-1)^n)^2/(n-1 )^7/(n^n)^3*(n-3)^n/(n-3)^6-147/4/(n^n)*n^19*(n-7)^n/(n-7)^13+3/8/(n^n)*n^20*(n -7)^n/(n-7)^13+113833718076/(n^n)*n^10*(n-7)^n/(n-7)^13+1489132878768/(n^n)*n^6 *(n-7)^n/(n-7)^13-1207646314560/(n^n)*n^5*(n-7)^n/(n-7)^13+744083501094/(n^n)*n ^8*(n-7)^n/(n-7)^13-333000041010/(n^n)*n^9*(n-7)^n/(n-7)^13+588868704000/(n^n)* n^4*(n-7)^n/(n-7)^13+1662/(n^n)*n^18*(n-7)^n/(n-7)^13-92085/2/(n^n)*n^17*(n-7)^ n/(n-7)^13-12081846/(n^n)*n^15*(n-7)^n/(n-7)^13+3498423/4/(n^n)*n^16*(n-7)^n/(n -7)^13+125598369/(n^n)*n^14*(n-7)^n/(n-7)^13+49776411399/8/(n^n)*n^12*(n-7)^n/( n-7)^13-120546567141/4/(n^n)*n^11*(n-7)^n/(n-7)^13-2005778775/2/(n^n)*n^13*(n-7 )^n/(n-7)^13-1241138881332/(n^n)*n^7*(n-7)^n/(n-7)^13-129330432000/(n^n)*n^3*(n -7)^n/(n-7)^13+43/4*n^31*((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8-1/4*n^32* ((n-1)^n)^5/(n-1)^16/(n^n)^6*(n-3)^n/(n-3)^8-419/2*n^30*((n-1)^n)^5/(n-1)^16/(n 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*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9+44053072*n^11*(n-1)^n/(n-1)^3/(n^n)^2* (n-5)^n/(n-5)^9-88440352*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9+122305904 *n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9-110406912*n^8*(n-1)^n/(n-1)^3/(n^n )^2*(n-5)^n/(n-5)^9+58270464*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9-\ 13547520*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9-6902*n^16*(n-1)^n/(n-1)^3/ (n^n)^2*(n-5)^n/(n-5)^9+85414*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9-\ 694071*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^9+329*n^17*(n-1)^n/(n-1)^3/(n ^n)^2*(n-5)^n/(n-5)^9+4*n^16*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-68*n^ 15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+484*n^14*((n-1)^n)^2/(n-1)^7/(n^ n)^3*(n-2)^n/(n-2)^5-1868*n^13*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+4216 *n^12*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-5552*n^11*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-2)^n/(n-2)^5+3936*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5-\ 1152*n^9*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-2)^n/(n-2)^5+n^26*((n-1)^n)^2/(n-1)^7/( n^n)^3*(n-6)^n/(n-6)^11+7/4/(n^n)*n^10*(n-3)^n/(n-3)^7-161/4/(n^n)*n^9*(n-3)^n/ (n-3)^7+1519/4/(n^n)*n^8*(n-3)^n/(n-3)^7-7595/4/(n^n)*n^7*(n-3)^n/(n-3)^7+10829 /2/(n^n)*n^6*(n-3)^n/(n-3)^7-8771/(n^n)*n^5*(n-3)^n/(n-3)^7+7434/(n^n)*n^4*(n-3 )^n/(n-3)^7-2520/(n^n)*n^3*(n-3)^n/(n-3)^7+3/8*n^32*((n-1)^n)^7/(n-1)^25/(n^n)^ 7-39/4*n^31*((n-1)^n)^7/(n-1)^25/(n^n)^7+459/4*n^30*((n-1)^n)^7/(n-1)^25/(n^n)^ 7-807*n^29*((n-1)^n)^7/(n-1)^25/(n^n)^7+30147/8*n^28*((n-1)^n)^7/(n-1)^25/(n^n) ^7-49077/4*n^27*((n-1)^n)^7/(n-1)^25/(n^n)^7+56847/2*n^26*((n-1)^n)^7/(n-1)^25/ (n^n)^7-46857*n^25*((n-1)^n)^7/(n-1)^25/(n^n)^7+53874*n^24*((n-1)^n)^7/(n-1)^25 /(n^n)^7-41148*n^23*((n-1)^n)^7/(n-1)^25/(n^n)^7+18792*n^22*((n-1)^n)^7/(n-1)^ 25/(n^n)^7+735*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-11214*n^14*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+98154*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4 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)^5/(n-1)^18/(n^n)^6*(n-3)^n/(n-3)^6+302604*n^27*((n-1)^n)^5/(n-1)^18/(n^n)^6*( n-3)^n/(n-3)^6-2212311/2*n^26*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-3)^n/(n-3)^6+ 3049071*n^25*((n-1)^n)^5/(n-1)^18/(n^n)^6*(n-3)^n/(n-3)^6+n^30*((n-1)^n)^4/(n-1 )^15/(n^n)^5*(n-4)^n/(n-4)^7-43*n^29*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4) ^7+851*n^28*((n-1)^n)^4/(n-1)^15/(n^n)^5*(n-4)^n/(n-4)^7+1/2*(n-2)^n/(n-2)^5/(n ^n)*n^7-5*(n-2)^n/(n-2)^5/(n^n)*n^6+35/2*(n-2)^n/(n-2)^5/(n^n)*n^5-25*(n-2)^n/( n-2)^5/(n^n)*n^4+12*(n-2)^n/(n-2)^5/(n^n)*n^3+9/2*n^25*((n-1)^n)^4/(n-1)^14/(n^ n)^5*(n-2)^n/(n-2)^5-108*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+1152 *n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-1/4*n^24*(n-1)^n/(n-1)^4/(n^ n)^2/(n-7)^12*(n-7)^n+91/4*n^23*(n-1)^n/(n-1)^4/(n^n)^2/(n-7)^12*(n-7)^n+32*n^ 18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-214*n^17*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-2)^n/(n-2)^5+776*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5-1648* n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+2048*n^14*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-2)^n/(n-2)^5-1376*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+ 384*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+561*n^15*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-3)^n/(n-3)^6-2769*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^ 6+8292*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-15432*n^12*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+17424*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^6-10896*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+2880*n^9*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6+3*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n /(n-3)^6-63*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^6-2*n^15*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^7+56*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-\ 676*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^7-959*n^22*(n-1)^n/(n-1)^4/(n^n) ^2*(n-7)^n/(n-7)^12+143775328457*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12+ 818361814896*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12-554256587520*n^8*(n-1 )^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12+606663602916*n^11*(n-1)^n/(n-1)^4/(n^n)^2* (n-7)^n/(n-7)^12-336086734916*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12+ 228622176000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12+24874*n^21*(n-1)^n/(n -1)^4/(n^n)^2*(n-7)^n/(n-7)^12-889411/2*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n -7)^12-57692043*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12+11635241/2*n^19*( n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12+443277023*n^17*(n-1)^n/(n-1)^4/(n^n)^2* (n-7)^n/(n-7)^12+51016024763/4*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12-\ 48184749412*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12-10696272433/4*n^16*(n -1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12-826255626336*n^10*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-7)^n/(n-7)^12-43110144000*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^12-63/ 2*n^25*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^12+3/8*n^26*((n-1)^n)^2/(n-1)^ 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(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-7*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3 )^7+203*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7-2569*n^20*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-3)^n/(n-3)^7+7/2/(n^n)*n^9*(n-3)^n/(n-3)^6-119/2/(n^n)*n^8*( n-3)^n/(n-3)^6+805/2/(n^n)*n^7*(n-3)^n/(n-3)^6-2765/2/(n^n)*n^6*(n-3)^n/(n-3)^6 +2534/(n^n)*n^5*(n-3)^n/(n-3)^6-2338/(n^n)*n^4*(n-3)^n/(n-3)^6+840/(n^n)*n^3*(n -3)^n/(n-3)^6-1320907203/2/(n^n)*n^10*(n-6)^n/(n-6)^11-17003823048/(n^n)*n^6*(n -6)^n/(n-6)^11+15411980160/(n^n)*n^5*(n-6)^n/(n-6)^11-6393181608/(n^n)*n^8*(n-6 )^n/(n-6)^11+2389220262/(n^n)*n^9*(n-6)^n/(n-6)^11-8254224000/(n^n)*n^4*(n-6)^n /(n-6)^11+9/2/(n^n)*n^17*(n-6)^n/(n-6)^11+19449/2/(n^n)*n^15*(n-6)^n/(n-6)^11-\ 621/2/(n^n)*n^16*(n-6)^n/(n-6)^11-366201/2/(n^n)*n^14*(n-6)^n/(n-6)^11-41484663 /2/(n^n)*n^12*(n-6)^n/(n-6)^11+271809747/2/(n^n)*n^11*(n-6)^n/(n-6)^11+4627647/ 2/(n^n)*n^13*(n-6)^n/(n-6)^11+12433627152/(n^n)*n^7*(n-6)^n/(n-6)^11+1959552000 /(n^n)*n^3*(n-6)^n/(n-6)^11+49/4/(n^n)*n^12*(n-4)^n/(n-4)^8-1617/4/(n^n)*n^11*( n-4)^n/(n-4)^8+5733/(n^n)*n^10*(n-4)^n/(n-4)^8-91581/2/(n^n)*n^9*(n-4)^n/(n-4)^ 8+906549/4/(n^n)*n^8*(n-4)^n/(n-4)^8-2878113/4/(n^n)*n^7*(n-4)^n/(n-4)^8+ 2923879/2/(n^n)*n^6*(n-4)^n/(n-4)^8-1827357/(n^n)*n^5*(n-4)^n/(n-4)^8+1269198/( n^n)*n^4*(n-4)^n/(n-4)^8-370440/(n^n)*n^3*(n-4)^n/(n-4)^8-579106986*n^20*((n-1) ^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10+1684192902*n^19*((n-1)^n)^3/(n-1)^10/(n ^n)^4*(n-5)^n/(n-5)^10-3771938808*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-\ 5)^10+6437437320*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10-8206992864* n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10+7554137760*n^15*((n-1)^n)^3/ (n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10-4732369920*n^14*((n-1)^n)^3/(n-1)^10/(n^n)^4* (n-5)^n/(n-5)^10+1801419264*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10-\ 313528320*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10+9798987/2*n^23*((n 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^10+12328416*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^10-2177280*n^15*(( n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^10+1525/16*n^28*((n-1)^n)^4/(n-1)^12/( n^n)^5*(n-4)^n/(n-4)^10-12055/8*n^27*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4) ^10-418593/2*n^22*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9+1350063*n^21*((n -1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9-12746607/2*n^20*((n-1)^n)^3/(n-1)^10/ (n^n)^4*(n-4)^n/(n-4)^9+22378182*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4 )^9-58751694*n^18*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9+114806328*n^17*( (n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n-4)^9-164395560*n^16*((n-1)^n)^3/(n-1)^10 /(n^n)^4*(n-4)^n/(n-4)^9+167267232*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-4)^n/(n -4)^9-61485/(n^n)*n^16*(n-7)^n/(n-7)^12-12026994/(n^n)*n^14*(n-7)^n/(n-7)^12-\ 723305055/(n^n)*n^12*(n-7)^n/(n-7)^12+15057768759/4/(n^n)*n^11*(n-7)^n/(n-7)^12 +106872810/(n^n)*n^13*(n-7)^n/(n-7)^12+187516060668/(n^n)*n^7*(n-7)^n/(n-7)^12+ 21555072000/(n^n)*n^3*(n-7)^n/(n-7)^12+3/4/(n^n)*n^19*(n-7)^n/(n-7)^12-\ 30199954587/2/(n^n)*n^10*(n-7)^n/(n-7)^12-232085034648/(n^n)*n^6*(n-7)^n/(n-7)^ 12+193245341760/(n^n)*n^5*(n-7)^n/(n-7)^12-108387578460/(n^n)*n^8*(n-7)^n/(n-7) ^12+46467708630/(n^n)*n^9*(n-7)^n/(n-7)^12-96348528000/(n^n)*n^4*(n-7)^n/(n-7)^ 12-129/2/(n^n)*n^18*(n-7)^n/(n-7)^12+2550/(n^n)*n^17*(n-7)^n/(n-7)^12+2022783/2 /(n^n)*n^15*(n-7)^n/(n-7)^12+14093925/2*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4) ^n/(n-4)^7-16368180*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7+28567530* n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7-36867744*n^16*((n-1)^n)^3/(n-\ 1)^12/(n^n)^4*(n-4)^n/(n-4)^7+34099704*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^ n/(n-4)^7-21352896*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7+8094816*n^ 13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^7-1399680*n^12*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-4)^n/(n-4)^7-76*n^25*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11 +2660*n^24*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+22964192404*n^16*((n-1) ^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+113417039808*n^12*((n-1)^n)^2/(n-1)^7/(n ^n)^3*(n-6)^n/(n-6)^11-73495157760*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-\ 6)^11+91132212272*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-52222391552 *n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+28978560000*n^10*((n-1)^n)^2 /(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-56932*n^23*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^ n/(n-6)^11-8885644*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+834410*n^ 22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11+71182128*n^20*((n-1)^n)^2/(n-1) ^7/(n^n)^3*(n-6)^n/(n-6)^11+2096840317*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n /(n-6)^11-7847964344*n^17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-\ 438095756*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-119422839936*n^13*( (n-1)^n)^2/(n-1)^7/(n^n)^3*(n-6)^n/(n-6)^11-5225472000*n^9*((n-1)^n)^2/(n-1)^7/ (n^n)^3*(n-6)^n/(n-6)^11+189/2*n^27*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^ 10-3/2*n^28*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10+95541/2*n^25*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-5)^n/(n-5)^10-5451/2*n^26*((n-1)^n)^3/(n-1)^10/(n^n)^4* (n-5)^n/(n-5)^10+3/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-15*n^16*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+129*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-2)^n/(n-2)^5-1245/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+7365/4 *n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5-6825/2*n^12*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^5+3861*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^ 5-2430*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^5+648*n^9*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-2)^n/(n-2)^5-3/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7+ 42*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-507*n^13*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^7+3462*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^7-29463/2*n^ 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1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^6+196935/2*n^24*((n-1)^n)^4/(n-1)^16/(n^ n)^5*(n-4)^n/(n-4)^6-320125*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^6+ 32717/8*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^6-46315/2*n^25*((n-1)^n )^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^6+96*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n -6)^10-3/2*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10-1163082087/2*n^13*(n-1 )^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10-5811609384*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 6)^n/(n-6)^10+4329593856*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10-\ 3392374848*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10+1618591074*n^12*(n-1)^ n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10-1938245760*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6) ^n/(n-6)^10+49782*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10-2808*n^19*(n-1) ^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10-598071*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n /(n-6)^10-32940084*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10+158743146*n^14 *(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^10+5155974*n^16*(n-1)^n/(n-1)^4/(n^n)^2* (n-6)^n/(n-6)^10+3/8*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-\ 130636800*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-51/2*n^23*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11+396621357/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-5)^n/(n-5)^11+2002734360*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-\ 1479447936*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11+1174754406*n^14*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-557769696*n^15*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-5)^n/(n-5)^11+654791040*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5 )^11-14664*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11+6303/8*n^22*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11+1470189/8*n^20*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-5)^n/(n-5)^11+86407629/8*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^ 11-53248767*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-3283935/2*n^19*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^11-1818816144*n^13*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-5)^n/(n-5)^11-1157*n^22*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13+25* n^23*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13+373778318108*n^13*(n-1)^n/(n-1)^3 /(n^n)^2*(n-7)^n/(n-7)^13+2790608048064*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-\ 7)^13-2002774222080*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13+1819537255680* n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13-940055722076*n^12*(n-1)^n/(n-1)^3 /(n^n)^2*(n-7)^n/(n-7)^13+871378560000*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7 )^13+32911*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13-1288921/2*n^20*(n-1)^n /(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13-99841374*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n /(n-7)^13+9220705*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13+836057417*n^17* (n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13+28387163090*n^15*(n-1)^n/(n-1)^3/(n^n) ^2*(n-7)^n/(n-7)^13-116071334431*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13-\ 21940880533/4*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13-2647607094288*n^10* (n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13-172440576000*n^6*(n-1)^n/(n-1)^3/(n^n) ^2*(n-7)^n/(n-7)^13-1/4*n^24*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^13-3/4*n^22* (n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12-74721337920*n^8*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-6)^n/(n-6)^12+53215161900*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12-\ 24684638970*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12+34511184000*n^7*(n-1) ^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12+123/2*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/ (n-6)^12-2310*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12-1636023/2*n^18*(n-1 )^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12+52725*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n /(n-6)^12+9141708*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12+480591375*n^15* (n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12-9310016199/4*n^14*(n-1)^n/(n-1)^3/(n^n )^2*(n-6)^n/(n-6)^12-76076550*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12-\ 85000246188*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12-7185024000*n^6*(n-1)^ n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12+17327674749/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*( n-6)^n/(n-6)^12+97115678856*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^12+33/2*n ^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+17583/2*n^17*(n-1)^n/(n-1)^3/(n^n) ^2*(n-5)^n/(n-5)^11+1769559/2*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-\ 21724307/4*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-419731/4*n^16*(n-1)^n/ (n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-371208956*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^11-43545600*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-1/4*n^20*(n-1)^ n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+49274049/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5 )^n/(n-5)^11+470126184*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-394903872*n ^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+205980324*n^11*(n-1)^n/(n-1)^3/(n^n )^2*(n-5)^n/(n-5)^11-82933070*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+ 196490880*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-1969/4*n^18*(n-1)^n/(n-1 )^3/(n^n)^2*(n-5)^n/(n-5)^11+7434001509*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n -6)^11+62445687696*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11-45234184320*n^8 *(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+39177016152*n^11*(n-1)^n/(n-1)^4/(n^n )^2*(n-6)^n/(n-6)^11-19578285588*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+ 19774368000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11-3768*n^20*(n-1)^n/(n-1 )^4/(n^n)^2*(n-6)^n/(n-6)^11-1095891*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6) ^11+77862*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+11136684*n^17*(n-1)^n/( n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+488143986*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/ (n-6)^11-4337945007/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11-84499824*n^ 16*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11-58344286104*n^10*(n-1)^n/(n-1)^4/(n ^n)^2*(n-6)^n/(n-6)^11-3919104000*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^11+ 6342*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-60291*n^17*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-4)^n/(n-4)^8+741825/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n /(n-4)^8-3101553/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+4497087*n^ 14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-9045624*n^13*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-4)^n/(n-4)^8+12365472*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4 )^8-10934280*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+5621616*n^10*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-1270080*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-4)^n/(n-4)^8+21/2*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8-777/2*n^ 19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^8+3/(n^n)*n^11*(n-4)^n/(n-4)^7-78/ (n^n)*n^10*(n-4)^n/(n-4)^7+858/(n^n)*n^9*(n-4)^n/(n-4)^7-5208/(n^n)*n^8*(n-4)^n /(n-4)^7+19047/(n^n)*n^7*(n-4)^n/(n-4)^7-42882/(n^n)*n^6*(n-4)^n/(n-4)^7+57852/ (n^n)*n^5*(n-4)^n/(n-4)^7-42552/(n^n)*n^4*(n-4)^n/(n-4)^7+12960/(n^n)*n^3*(n-4) ^n/(n-4)^7-17284750560/(n^n)*n^5*(n-6)^n/(n-6)^12+8045977415/(n^n)*n^8*(n-6)^n/ (n-6)^12-12706790635/4/(n^n)*n^9*(n-6)^n/(n-6)^12+9017946000/(n^n)*n^4*(n-6)^n/ (n-6)^12+7/16/(n^n)*n^18*(n-6)^n/(n-6)^12-35/(n^n)*n^17*(n-6)^n/(n-6)^12-112805 /4/(n^n)*n^15*(n-6)^n/(n-6)^12+2555/2/(n^n)*n^16*(n-6)^n/(n-6)^12+3366167/8/(n^ n)*n^14*(n-6)^n/(n-6)^12+35395745/(n^n)*n^12*(n-6)^n/(n-6)^12-838213915/4/(n^n) *n^11*(n-6)^n/(n-6)^12-17964485/4/(n^n)*n^13*(n-6)^n/(n-6)^12-14950222945/(n^n) *n^7*(n-6)^n/(n-6)^12-2095632000/(n^n)*n^3*(n-6)^n/(n-6)^12-5443200/(n^n)*n^3*( n-5)^n/(n-5)^11+15017659811/16/(n^n)*n^10*(n-6)^n/(n-6)^12+19683031053/(n^n)*n^ 6*(n-6)^n/(n-6)^12+16073123/16/(n^n)*n^10*(n-5)^n/(n-5)^11+39544221/(n^n)*n^6*( n-5)^n/(n-5)^11-38443104/(n^n)*n^5*(n-5)^n/(n-5)^11+12433036/(n^n)*n^8*(n-5)^n/ (n-5)^11-16600463/4/(n^n)*n^9*(n-5)^n/(n-5)^11+21839760/(n^n)*n^4*(n-5)^n/(n-5) ^11-4/(n^n)*n^15*(n-5)^n/(n-5)^11+1/16/(n^n)*n^16*(n-5)^n/(n-5)^11+1841/16/(n^n )*n^14*(n-5)^n/(n-5)^11+356763/16/(n^n)*n^12*(n-5)^n/(n-5)^11-353199/2/(n^n)*n^ 11*(n-5)^n/(n-5)^11-7871/4/(n^n)*n^13*(n-5)^n/(n-5)^11-26629009/(n^n)*n^7*(n-5) ^n/(n-5)^11-162*n^15*((n-1)^n)^5/(n-1)^19/(n^n)^5+621*n^16*((n-1)^n)^5/(n-1)^19 /(n^n)^5+1/16*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5-11/8*n^23*((n-1)^n)^5/(n-1)^19/ (n^n)^5+107/8*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5-151/2*n^21*((n-1)^n)^5/(n-1)^19 /(n^n)^5+4361/16*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^5-5221/8*n^19*((n-1)^n)^5/(n-1 )^19/(n^n)^5+2073/2*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^5-1053*n^17*((n-1)^n)^5/(n-\ 1)^19/(n^n)^5-1/4*n^28*((n-1)^n)^6/(n-1)^22/(n^n)^6+6*n^27*((n-1)^n)^6/(n-1)^22 /(n^n)^6-129/2*n^26*((n-1)^n)^6/(n-1)^22/(n^n)^6+409*n^25*((n-1)^n)^6/(n-1)^22/ (n^n)^6-6777/4*n^24*((n-1)^n)^6/(n-1)^22/(n^n)^6+4791*n^23*((n-1)^n)^6/(n-1)^22 /(n^n)^6-9367*n^22*((n-1)^n)^6/(n-1)^22/(n^n)^6+12504*n^21*((n-1)^n)^6/(n-1)^22 /(n^n)^6-10908*n^20*((n-1)^n)^6/(n-1)^22/(n^n)^6+5616*n^19*((n-1)^n)^6/(n-1)^22 /(n^n)^6-110169/8/(n^n)*n^19*(n-8)^n/(n-8)^14+6483/16/(n^n)*n^20*(n-8)^n/(n-8)^ 14-59/8/(n^n)*n^21*(n-8)^n/(n-8)^14+1/16/(n^n)*n^22*(n-8)^n/(n-8)^14+ 2960492111035/(n^n)*n^10*(n-8)^n/(n-8)^14+26708814493848/(n^n)*n^6*(n-8)^n/(n-8 )^14-20300419856160/(n^n)*n^5*(n-8)^n/(n-8)^14+15670584850827/(n^n)*n^8*(n-8)^n /(n-8)^14-7737635439187/(n^n)*n^9*(n-8)^n/(n-8)^14+9362276784000/(n^n)*n^4*(n-8 )^n/(n-8)^14-2*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^5+1180631664*n^10 *(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-1557205776*n^9*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-5)^n/(n-5)^10+1352484864*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-\ 691690752*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+156764160*n^6*(n-1)^n/(n -1)^3/(n^n)^2*(n-5)^n/(n-5)^10-12681*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5) ^10+189684*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10-1880739*n^15*(n-1)^n/( n-1)^3/(n^n)^2*(n-5)^n/(n-5)^10+504*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 10-183645*n^19*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+679572*n^18*((n-1)^ n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-1756116*n^17*((n-1)^n)^3/(n-1)^10/(n^n)^4 *(n-3)^n/(n-3)^7+3169872*n^16*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-\ 3916656*n^15*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+3153600*n^14*((n-1)^n )^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-1487808*n^13*((n-1)^n)^3/(n-1)^10/(n^n)^4* (n-3)^n/(n-3)^7+311040*n^12*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7-9*n^23 *((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+288*n^22*((n-1)^n)^3/(n-1)^10/(n^ n)^4*(n-3)^n/(n-3)^7-4086*n^21*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+ 33948*n^20*((n-1)^n)^3/(n-1)^10/(n^n)^4*(n-3)^n/(n-3)^7+9/2*n^21*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^7-162*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4 )^7+5247/2*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-25281*n^18*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+322983/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^7-720504*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+4604337/ 2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-5307021*n^14*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-4)^n/(n-4)^7+8756424*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^7-10078344*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7+7672968*n^11*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-3464208*n^10*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-4)^n/(n-4)^7+699840*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^7-\ 7191*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+58167/2*n^21*((n-1)^n)^4 /(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-79605*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2) ^n/(n-2)^5+149256*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5-189144*n^18 *((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+154872*n^17*((n-1)^n)^4/(n-1)^14/ (n^n)^5*(n-2)^n/(n-2)^5-73872*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5 +15552*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^5+450045*n^18*((n-1)^n)^ 3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-1094562*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -3)^n/(n-3)^6+1870848*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-2201184 *n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+1696464*n^14*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-3)^n/(n-3)^6-769824*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/ (n-3)^6+155520*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-9*n^23*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+261*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 3)^n/(n-3)^6-3384*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6+25902*n^20* ((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^6-130077*n^19*((n-1)^n)^3/(n-1)^11/( n^n)^4*(n-3)^n/(n-3)^6-n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5+15*n^11*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^5-13274*n^19*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-\ 4)^n/(n-4)^9+112983*n^18*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-674076*n^ 17*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+2900717*n^16*((n-1)^n)^2/(n-1)^7 /(n^n)^3*(n-4)^n/(n-4)^9-9117354*n^15*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4) ^9+20933088*n^14*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-34671376*n^13*((n-\ 1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+40254288*n^12*((n-1)^n)^2/(n-1)^7/(n^n) ^3*(n-4)^n/(n-4)^9-31002912*n^11*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+ 14179968*n^10*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-2903040*n^9*((n-1)^n) ^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+n^22*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-\ 4)^9-48*n^21*((n-1)^n)^2/(n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9+1035*n^20*((n-1)^n)^2/ (n-1)^7/(n^n)^3*(n-4)^n/(n-4)^9-81049157/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n /(n-5)^10+335555563/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-259020097*n ^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+593255768*n^11*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^10-991491816*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+ 1171353204*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-923444928*n^8*(n-1)^n/( n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+433968192*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/( n-5)^10-91445760*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10+177121/4*n^17*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-1905393/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n -5)^n/(n-5)^10+14534247/4*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-11039/4 *n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-943/4*n^16*(n-1)^n/(n-1)^4/(n^n) ^2*(n-4)^n/(n-4)^9+2847*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-90207/4*n^ 14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+246831/2*n^13*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-4)^n/(n-4)^9-1913393/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+ 1322642*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-2587988*n^10*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^9+3491868*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9-\ 3079836*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+1591056*n^7*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^9-362880*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+413 /4*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^10-7/4*n^20*(n-1)^n/(n-1)^4/(n^n) ^2*(n-5)^n/(n-5)^10-1/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9+23/2*n^17* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^9 In particular we have an indication that, X[2], and , X[3], are joint-asymptoically normal with limiting correlation exp(-2) -1/2 ----------------------------------------------------- 1/2 ((exp(-1) - exp(-2)) (-1/2 exp(-2) + 1/2 exp(-1))) and in decomals -.4115196758 ------------------------------------------------ We will now study how , X[2], and , X[4], intereact The, 1, 1, mixed moment of, X[2], and , X[4], is 10 n 2 9 n 2 8 n 2 7 n 2 n ((n - 1) ) 11 n ((n - 1) ) 22 n ((n - 1) ) 38 n ((n - 1) ) - ---------------- + ----------------- - ----------------- + ----------------- 8 n 2 8 n 2 8 n 2 8 n 2 6 (n - 1) (n ) 6 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 6 n 2 n 6 n 5 n 4 8 n ((n - 1) ) 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n - ---------------- + -------------- - -------------- + --------------- 8 n 2 6 n 6 n 6 n (n - 1) (n ) 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n n 3 n 8 n 7 20 (n - 2) n (n - 2) n 5 (n - 2) n - -------------- + ------------- - ------------- 6 n 6 n 6 n (n - 2) n 6 (n - 2) n 2 (n - 2) n and in Maple notation -1/6*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+11/6*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^2-22/3 *n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+38/3*n^7*((n-1)^n)^2/(n-1)^8/(n^n)^2-8*n^6*((n -1)^n)^2/(n-1)^8/(n^n)^2+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n ^n)*n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^ n/(n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7 The, 1, 2, mixed moment of, X[2], and , X[4], is 6 n 2 9 n 3 16 n 3 8 n ((n - 1) ) 64 n ((n - 1) ) n ((n - 1) ) - ---------------- - ----------------- + ------------------ 8 n 2 13 n 3 13 n 3 (n - 1) (n ) (n - 1) (n ) 18 (n - 1) (n ) 15 n 3 14 n 3 10 n 2 10 n ((n - 1) ) 169 n ((n - 1) ) n ((n - 1) ) - ------------------ + ------------------- - ---------------- 13 n 3 13 n 3 8 n 2 9 (n - 1) (n ) 18 (n - 1) (n ) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 11 n ((n - 1) ) 22 n ((n - 1) ) 38 n ((n - 1) ) + ----------------- - ----------------- + ----------------- 8 n 2 8 n 2 8 n 2 6 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 14 n n (n - 2) n 5 (n - 2) n n (n - 1) (n - 2) + ------------- - ------------- - -------------------------- 6 n 6 n 5 n 2 6 6 (n - 2) n 2 (n - 2) n 18 (n - 1) (n ) (n - 2) 13 n n 12 n n 4 n (n - 1) (n - 2) 41 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 78 n (n - 1) (n - 2) 541 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 582 n (n - 1) (n - 2) 6802 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 1616 n (n - 1) (n - 2) 160 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n n (n - 1) (n - 2) 5 n (n - 1) (n - 2) - -------------------------- + ------------------------- 3 n 2 8 3 n 2 8 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n n 11 n n 21 n (n - 1) (n - 2) 217 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 8 3 n 2 8 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 3563 n (n - 1) (n - 2) 4445 n (n - 1) (n - 2) - -------------------------- + ------------------------- 3 n 2 8 3 n 2 8 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 8 n n 7 n n 9833 n (n - 1) (n - 2) 866 n (n - 1) (n - 2) - ------------------------- + ------------------------ 3 n 2 8 3 n 2 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 13 n 3 12 n 3 280 n (n - 1) (n - 2) 391 n ((n - 1) ) 1070 n ((n - 1) ) - ------------------------ - ------------------- + -------------------- 3 n 2 8 13 n 3 13 n 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) 9 (n - 1) (n ) 11 n 3 10 n 3 12 n 1732 n ((n - 1) ) 512 n ((n - 1) ) n (n - 3) - -------------------- + ------------------- + -------------- 13 n 3 13 n 3 n 9 9 (n - 1) (n ) 3 (n - 1) (n ) 36 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 18 n (n - 3) 6 n (n - 3) 3 n (n - 3) 12 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 86458 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 6 n (n - 3) 9 n (n - 3) 9 n (n - 3) 4 n 3 n 7208 n (n - 3) 2240 n (n - 3) + ---------------- - ---------------- n 9 n 9 n (n - 3) n (n - 3) and in Maple notation -8*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2-64*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/18*n^ 16*((n-1)^n)^3/(n-1)^13/(n^n)^3-10/9*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^3+169/18*n ^14*((n-1)^n)^3/(n-1)^13/(n^n)^3-1/6*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+11/6*n^9* ((n-1)^n)^2/(n-1)^8/(n^n)^2-22/3*n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+38/3*n^7*((n-1 )^n)^2/(n-1)^8/(n^n)^2+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n )*n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/ (n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-1/18*n^14*(n-1)^n/(n-1)^5/(n^n) ^2*(n-2)^n/(n-2)^6+4/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-41/3*n^12*( n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+78*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/ (n-2)^6-541/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+582*n^9*(n-1)^n/(n-1 )^5/(n^n)^2*(n-2)^n/(n-2)^6-6802/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+ 1616/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-160*n^6*(n-1)^n/(n-1)^5/(n^n )^2*(n-2)^n/(n-2)^6-1/36*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+5/6*n^13* (n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-21/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2) ^n/(n-2)^8+217/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-3563/12*n^10*(n-1 )^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+4445/6*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/ (n-2)^8-9833/9*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+866*n^7*(n-1)^n/(n-1 )^3/(n^n)^2*(n-2)^n/(n-2)^8-280*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-391 /9*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+1070/9*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^3-\ 1732/9*n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3+512/3*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^ 3+1/36/(n^n)*n^12*(n-3)^n/(n-3)^9-19/18/(n^n)*n^11*(n-3)^n/(n-3)^9+103/6/(n^n)* n^10*(n-3)^n/(n-3)^9-469/3/(n^n)*n^9*(n-3)^n/(n-3)^9+10507/12/(n^n)*n^8*(n-3)^n /(n-3)^9-18697/6/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/9/(n^n)*n^6*(n-3)^n/(n-3)^9-\ 86458/9/(n^n)*n^5*(n-3)^n/(n-3)^9+7208/(n^n)*n^4*(n-3)^n/(n-3)^9-2240/(n^n)*n^3 *(n-3)^n/(n-3)^9 The, 1, 3, mixed moment of, X[2], and , X[4], is 6 n 2 9 n 3 12 n 4 8 n ((n - 1) ) 96 n ((n - 1) ) 384 n ((n - 1) ) - ---------------- - ----------------- - ------------------- 8 n 2 13 n 3 18 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 16 n 3 15 n 3 14 n 3 n ((n - 1) ) 5 n ((n - 1) ) 169 n ((n - 1) ) + ------------------ - ----------------- + ------------------- 13 n 3 13 n 3 13 n 3 12 (n - 1) (n ) 3 (n - 1) (n ) 12 (n - 1) (n ) 10 n 6 n 5 n 28671863 n (n - 4) 62778424 n (n - 4) 21501998 n (n - 4) + --------------------- + -------------------- - -------------------- n 12 n 12 n 12 216 n (n - 4) 9 n (n - 4) 3 n (n - 4) 8 n 9 n 4 n 51909242 n (n - 4) 128518753 n (n - 4) 4272440 n (n - 4) + -------------------- - --------------------- + ------------------- n 12 n 12 n 12 27 n (n - 4) 216 n (n - 4) n (n - 4) 15 n 16 n 14 n 71 n (n - 4) n (n - 4) 2261 n (n - 4) - ---------------- + ---------------- + ----------------- n 12 n 12 n 12 216 n (n - 4) 216 n (n - 4) 216 n (n - 4) 12 n 11 n 13 n 59147 n (n - 4) 1540231 n (n - 4) 42691 n (n - 4) + ------------------ - -------------------- - ------------------ n 12 n 12 n 12 24 n (n - 4) 72 n (n - 4) 216 n (n - 4) 7 n 3 n 10 n 2 119147842 n (n - 4) 1108800 n (n - 4) n ((n - 1) ) - --------------------- - ------------------- - ---------------- n 12 n 12 8 n 2 27 n (n - 4) n (n - 4) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 11 n ((n - 1) ) 22 n ((n - 1) ) 38 n ((n - 1) ) + ----------------- - ----------------- + ----------------- 8 n 2 8 n 2 8 n 2 6 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 14 n n (n - 2) n 5 (n - 2) n n (n - 1) (n - 2) + ------------- - ------------- - -------------------------- 6 n 6 n 5 n 2 6 6 (n - 2) n 2 (n - 2) n 12 (n - 1) (n ) (n - 2) 13 n n 12 n n 2 n (n - 1) (n - 2) 41 n (n - 1) (n - 2) + ----------------------- - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 11 n n 10 n n 117 n (n - 1) (n - 2) 1623 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 873 n (n - 1) (n - 2) 3401 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 808 n (n - 1) (n - 2) 240 n (n - 1) (n - 2) + ------------------------ - ------------------------ 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n n (n - 1) (n - 2) 5 n (n - 1) (n - 2) - -------------------------- + ------------------------- 3 n 2 8 3 n 2 8 12 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n n 11 n n 63 n (n - 1) (n - 2) 217 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 8 3 n 2 8 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 3563 n (n - 1) (n - 2) 4445 n (n - 1) (n - 2) - -------------------------- + ------------------------- 3 n 2 8 3 n 2 8 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 9833 n (n - 1) (n - 2) 2598 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 13 n 3 12 n 3 840 n (n - 1) (n - 2) 391 n ((n - 1) ) 535 n ((n - 1) ) - ------------------------ - ------------------- + ------------------- 3 n 2 8 13 n 3 13 n 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) 3 (n - 1) (n ) 11 n 3 10 n 3 12 n 866 n ((n - 1) ) 256 n ((n - 1) ) n (n - 3) - ------------------- + ------------------- + -------------- 13 n 3 13 n 3 n 9 3 (n - 1) (n ) (n - 1) (n ) 12 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 6 n (n - 3) 2 n (n - 3) n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 86458 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 2 n (n - 3) 3 n (n - 3) 3 n (n - 3) 4 n 3 n 20 n 2 n 21624 n (n - 3) 6720 n (n - 3) n ((n - 1) ) (n - 2) + ----------------- - ---------------- + --------------------------- n 9 n 9 10 n 3 6 n (n - 3) n (n - 3) 72 (n - 1) (n ) (n - 2) 22 n 4 21 n 4 20 n 4 n ((n - 1) ) 29 n ((n - 1) ) 125 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 18 n 4 18 n 4 18 n 4 72 (n - 1) (n ) 72 (n - 1) (n ) 24 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 949 n ((n - 1) ) 1171 n ((n - 1) ) 1963 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 18 n 4 18 n 4 18 n 4 24 (n - 1) (n ) 6 (n - 1) (n ) 3 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 13582 n ((n - 1) ) 21278 n ((n - 1) ) 2408 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 18 n 4 18 n 4 18 n 4 9 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 13 n 4 17 n n 1440 n ((n - 1) ) 59 n (n - 1) (n - 3) + -------------------- + ---------------------------- 18 n 4 3 n 2 11 (n - 1) (n ) 216 (n - 1) (n ) (n - 3) 16 n n 15 n n 193 n (n - 1) (n - 3) 11825 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 3 n 2 11 3 n 2 11 27 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 14 n n 13 n n 78551 n (n - 1) (n - 3) 535249 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 3 n 2 11 3 n 2 11 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 12 n n 11 n n 3828121 n (n - 1) (n - 3) 3210680 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 3 n 2 11 3 n 2 11 108 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 10 n n 9 n n 7507412 n (n - 1) (n - 3) 11910118 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 3 n 2 11 3 n 2 11 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 8 n n 7 n n 449804 n (n - 1) (n - 3) 792080 n (n - 1) (n - 3) - --------------------------- + --------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 6 n n 18 n n 67200 n (n - 1) (n - 3) n (n - 1) (n - 3) - -------------------------- - ---------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 11 n ((n - 1) ) (n - 2) 61 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 10 n 3 6 10 n 3 6 24 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 237 n ((n - 1) ) (n - 2) 8159 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 4 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 10745 n ((n - 1) ) (n - 2) 134089 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 8 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 43447 n ((n - 1) ) (n - 2) 86909 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 10 n 3 6 10 n 3 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 8396 n ((n - 1) ) (n - 2) 4272 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n 2 n 960 n ((n - 1) ) (n - 2) 14891 n ((n - 1) ) (n - 2) - --------------------------- + ------------------------------ 10 n 3 6 8 n 3 8 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 22183 n ((n - 1) ) (n - 2) 154943 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 55630 n ((n - 1) ) (n - 2) 244172 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 76886 n ((n - 1) ) (n - 2) 14032 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 20 n 2 n 3360 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 13 n ((n - 1) ) (n - 2) 337 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 8 8 n 3 8 24 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 17 n 2 n 18 n n 1135 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ----------------------------- - -------------------------- 8 n 3 8 5 n 2 9 12 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 3) 17 n n 16 n n 47 n (n - 1) (n - 3) 493 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 9 5 n 2 9 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n 6101 n (n - 1) (n - 3) 11017 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n n 185677 n (n - 1) (n - 3) 554237 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 24 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 11 n n 10 n n 786662 n (n - 1) (n - 3) 1579292 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 2184034 n (n - 1) (n - 3) 657184 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 115616 n (n - 1) (n - 3) 26880 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) and in Maple notation -8*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2-96*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-384*n^12 *((n-1)^n)^4/(n-1)^18/(n^n)^4+1/12*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-5/3*n^15*( (n-1)^n)^3/(n-1)^13/(n^n)^3+169/12*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3+28671863/ 216/(n^n)*n^10*(n-4)^n/(n-4)^12+62778424/9/(n^n)*n^6*(n-4)^n/(n-4)^12-21501998/ 3/(n^n)*n^5*(n-4)^n/(n-4)^12+51909242/27/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/ 216/(n^n)*n^9*(n-4)^n/(n-4)^12+4272440/(n^n)*n^4*(n-4)^n/(n-4)^12-71/216/(n^n)* n^15*(n-4)^n/(n-4)^12+1/216/(n^n)*n^16*(n-4)^n/(n-4)^12+2261/216/(n^n)*n^14*(n-\ 4)^n/(n-4)^12+59147/24/(n^n)*n^12*(n-4)^n/(n-4)^12-1540231/72/(n^n)*n^11*(n-4)^ n/(n-4)^12-42691/216/(n^n)*n^13*(n-4)^n/(n-4)^12-119147842/27/(n^n)*n^7*(n-4)^n /(n-4)^12-1108800/(n^n)*n^3*(n-4)^n/(n-4)^12-1/6*n^10*((n-1)^n)^2/(n-1)^8/(n^n) ^2+11/6*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^2-22/3*n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+38 /3*n^7*((n-1)^n)^2/(n-1)^8/(n^n)^2+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/ (n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+ 1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-1/12*n^14*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+2*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-\ 41/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+117*n^11*(n-1)^n/(n-1)^5/(n^n )^2*(n-2)^n/(n-2)^6-1623/4*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+873*n^9 *(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-3401/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^6+808*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-240*n^6*(n-1)^n/(n -1)^5/(n^n)^2*(n-2)^n/(n-2)^6-1/12*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8 +5/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-63/2*n^12*(n-1)^n/(n-1)^3/(n^ n)^2*(n-2)^n/(n-2)^8+217*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-3563/4*n^ 10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+4445/2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*( n-2)^n/(n-2)^8-9833/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+2598*n^7*(n-1 )^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-840*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-\ 2)^8-391/6*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+535/3*n^12*((n-1)^n)^3/(n-1)^13/(n ^n)^3-866/3*n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3+256*n^10*((n-1)^n)^3/(n-1)^13/(n^ n)^3+1/12/(n^n)*n^12*(n-3)^n/(n-3)^9-19/6/(n^n)*n^11*(n-3)^n/(n-3)^9+103/2/(n^n )*n^10*(n-3)^n/(n-3)^9-469/(n^n)*n^9*(n-3)^n/(n-3)^9+10507/4/(n^n)*n^8*(n-3)^n/ (n-3)^9-18697/2/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/3/(n^n)*n^6*(n-3)^n/(n-3)^9-\ 86458/3/(n^n)*n^5*(n-3)^n/(n-3)^9+21624/(n^n)*n^4*(n-3)^n/(n-3)^9-6720/(n^n)*n^ 3*(n-3)^n/(n-3)^9+1/72*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/72*n ^22*((n-1)^n)^4/(n-1)^18/(n^n)^4+29/72*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-125/24 *n^20*((n-1)^n)^4/(n-1)^18/(n^n)^4+949/24*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^4-\ 1171/6*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+1963/3*n^17*((n-1)^n)^4/(n-1)^18/(n^n) ^4-13582/9*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+21278/9*n^15*((n-1)^n)^4/(n-1)^18/ (n^n)^4-2408*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+1440*n^13*((n-1)^n)^4/(n-1)^18/( n^n)^4+59/216*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-193/27*n^16*(n-1)^n /(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11+11825/108*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^ n/(n-3)^11-78551/72*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11+535249/72*n^ 13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-3828121/108*n^12*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^11+3210680/27*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11 -7507412/27*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11+11910118/27*n^9*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-449804*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/ (n-3)^11+792080/3*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-67200*n^6*(n-1)^ n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-1/216*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/( n-3)^11-11/24*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+61/9*n^18*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/4*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-2)^n/(n-2)^6+8159/24*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 10745/8*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/36*n^14*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43447/6*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^6+86909/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 8396*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+4272*n^10*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-2)^n/(n-2)^6-960*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-\ 2)^6+14891/24*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-22183/8*n^15*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+154943/18*n^14*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^8-55630/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+ 244172/9*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-76886/3*n^11*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+14032*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^8-3360*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+1/72*n^20*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-13/24*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-2)^n/(n-2)^8+337/36*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-1135/12 *n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-1/72*n^18*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^9+47/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/36* n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+6101/36*n^15*(n-1)^n/(n-1)^5/(n^n) ^2*(n-3)^n/(n-3)^9-11017/8*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/ 24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-554237/18*n^12*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^9+786662/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 1579292/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+2184034/9*n^9*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^9-657184/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3 )^9+115616*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-26880*n^6*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^9 The, 1, 4, mixed moment of, X[2], and , X[4], is 6 n 2 9 n 3 12 n 4 8 n ((n - 1) ) 128 n ((n - 1) ) 768 n ((n - 1) ) - ---------------- - ------------------ - ------------------- 8 n 2 13 n 3 18 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 26 n 3 n 16 n 3 15 n 3 n ((n - 1) ) (n - 2) n ((n - 1) ) 20 n ((n - 1) ) - ---------------------------- + ----------------- - ------------------ 15 n 4 6 13 n 3 13 n 3 324 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) 9 (n - 1) (n ) 14 n 3 28 n 5 27 n 5 169 n ((n - 1) ) n ((n - 1) ) 19 n ((n - 1) ) + ------------------- + ------------------- - ------------------- 13 n 3 23 n 5 23 n 5 9 (n - 1) (n ) 324 (n - 1) (n ) 162 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 331 n ((n - 1) ) 1750 n ((n - 1) ) 5569 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 23 n 5 23 n 5 23 n 5 162 (n - 1) (n ) 81 (n - 1) (n ) 36 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 42767 n ((n - 1) ) 241586 n ((n - 1) ) 677572 n ((n - 1) ) - --------------------- + ---------------------- - ---------------------- 23 n 5 23 n 5 23 n 5 54 (n - 1) (n ) 81 (n - 1) (n ) 81 (n - 1) (n ) 20 n 5 19 n 5 1415284 n ((n - 1) ) 2174408 n ((n - 1) ) + ----------------------- - ----------------------- 23 n 5 23 n 5 81 (n - 1) (n ) 81 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 796160 n ((n - 1) ) 65792 n ((n - 1) ) 29696 n ((n - 1) ) + ---------------------- - --------------------- + --------------------- 23 n 5 23 n 5 23 n 5 27 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 10 n 6 n 5 n 28671863 n (n - 4) 125556848 n (n - 4) 43003996 n (n - 4) + --------------------- + --------------------- - -------------------- n 12 n 12 n 12 36 n (n - 4) 3 n (n - 4) n (n - 4) 8 n 9 n 4 n 103818484 n (n - 4) 128518753 n (n - 4) 25634640 n (n - 4) + --------------------- - --------------------- + -------------------- n 12 n 12 n 12 9 n (n - 4) 36 n (n - 4) n (n - 4) 15 n 16 n 14 n 71 n (n - 4) n (n - 4) 2261 n (n - 4) - --------------- + --------------- + ----------------- n 12 n 12 n 12 36 n (n - 4) 36 n (n - 4) 36 n (n - 4) 12 n 11 n 13 n 59147 n (n - 4) 1540231 n (n - 4) 42691 n (n - 4) + ------------------ - -------------------- - ------------------ n 12 n 12 n 12 4 n (n - 4) 12 n (n - 4) 36 n (n - 4) 7 n 3 n 10 n 2 238295684 n (n - 4) 6652800 n (n - 4) n ((n - 1) ) - --------------------- - ------------------- - ---------------- n 12 n 12 8 n 2 9 n (n - 4) n (n - 4) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 11 n ((n - 1) ) 22 n ((n - 1) ) 38 n ((n - 1) ) + ----------------- - ----------------- + ----------------- 8 n 2 8 n 2 8 n 2 6 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 14 n n (n - 2) n 5 (n - 2) n n (n - 1) (n - 2) + ------------- - ------------- - ------------------------- 6 n 6 n 5 n 2 6 6 (n - 2) n 2 (n - 2) n 9 (n - 1) (n ) (n - 2) 13 n n 12 n n 8 n (n - 1) (n - 2) 82 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 156 n (n - 1) (n - 2) 541 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 1164 n (n - 1) (n - 2) 13604 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 3232 n (n - 1) (n - 2) 320 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n 7 n (n - 1) (n - 2) 35 n (n - 1) (n - 2) - -------------------------- + ------------------------- 3 n 2 8 3 n 2 8 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n n 11 n n 147 n (n - 1) (n - 2) 1519 n (n - 1) (n - 2) - ------------------------- + -------------------------- 3 n 2 8 3 n 2 8 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 24941 n (n - 1) (n - 2) 31115 n (n - 1) (n - 2) - --------------------------- + -------------------------- 3 n 2 8 3 n 2 8 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 8 n n 7 n n 68831 n (n - 1) (n - 2) 6062 n (n - 1) (n - 2) - -------------------------- + ------------------------- 3 n 2 8 3 n 2 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 24 n 3 n 1960 n (n - 1) (n - 2) 811 n ((n - 1) ) (n - 2) - ------------------------- - ---------------------------- 3 n 2 8 15 n 4 6 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 265 n ((n - 1) ) (n - 2) 76351 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 73271 n ((n - 1) ) (n - 2) 1877309 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 54 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 25 n 3 n 19 n 3 n 7 n ((n - 1) ) (n - 2) 503062 n ((n - 1) ) (n - 2) + --------------------------- + ------------------------------- 15 n 4 6 15 n 4 6 54 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2936768 n ((n - 1) ) (n - 2) 214144 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 15 n 4 6 15 n 4 6 27 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 745936 n ((n - 1) ) (n - 2) 3670274 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 84992 n ((n - 1) ) (n - 2) 9084500 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 12 n 3 n 19 n 2 n 5120 n ((n - 1) ) (n - 2) 1094645 n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------------- 15 n 4 6 8 n 3 11 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 28802543 n ((n - 1) ) (n - 3) 35499178 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 11 8 n 3 11 324 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 132207119 n ((n - 1) ) (n - 3) 371846464 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 8 n 3 11 8 n 3 11 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 783169604 n ((n - 1) ) (n - 3) 1212544096 n ((n - 1) ) (n - 3) + ---------------------------------- - ----------------------------------- 8 n 3 11 8 n 3 11 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 445052080 n ((n - 1) ) (n - 3) 109588736 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 8 n 3 11 8 n 3 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 16167680 n ((n - 1) ) (n - 3) 1075200 n ((n - 1) ) (n - 3) + --------------------------------- - ------------------------------- 8 n 3 11 8 n 3 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 9 n n 4360130225 n (n - 1) (n - 4) 786641080 n (n - 1) (n - 4) + -------------------------------- + ------------------------------ 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 586157248 n (n - 1) (n - 4) 12464402260 n (n - 1) (n - 4) - ------------------------------ + --------------------------------- 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 12 n n 7 n n 5991724802 n (n - 1) (n - 4) 87578240 n (n - 1) (n - 4) - -------------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 244258 n (n - 1) (n - 4) 32455 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 17 n n 15 n n 5287915 n (n - 1) (n - 4) 259739645 n (n - 1) (n - 4) + ----------------------------- + ------------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 14 n n 16 n n 2428307783 n (n - 1) (n - 4) 42561541 n (n - 1) (n - 4) - -------------------------------- - ------------------------------ 5 n 2 12 5 n 2 12 324 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 10 n n 6 n n 6408855332 n (n - 1) (n - 4) 17740800 n (n - 1) (n - 4) - -------------------------------- - ----------------------------- 5 n 2 12 5 n 2 12 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n n 20 n n 20 n (n - 1) (n - 4) 1463 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 22 n n 21 n n n (n - 1) (n - 4) 49 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 12 3 n 2 14 324 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 20 n n 18 n n 274 n (n - 1) (n - 4) 1086449 n (n - 1) (n - 4) - --------------------------- - ----------------------------- 3 n 2 14 3 n 2 14 81 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 17 n n 16 n n 3561649 n (n - 1) (n - 4) 17275544 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 3 n 2 14 3 n 2 14 162 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 15 n n 14 n n 505151647 n (n - 1) (n - 4) 11233340261 n (n - 1) (n - 4) + ------------------------------- - --------------------------------- 3 n 2 14 3 n 2 14 324 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 19 n n 13 n n 29669 n (n - 1) (n - 4) 23793031691 n (n - 1) (n - 4) + ---------------------------- + --------------------------------- 3 n 2 14 3 n 2 14 324 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 9 n n 8 n n 1884626954 n (n - 1) (n - 4) 1573134016 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 3 n 2 14 3 n 2 14 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n n 12 n n 23009354641 n (n - 1) (n - 4) 19110862225 n (n - 1) (n - 4) + --------------------------------- - --------------------------------- 3 n 2 14 3 n 2 14 81 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 7 n n 10 n n 260235680 n (n - 1) (n - 4) 13551922355 n (n - 1) (n - 4) + ------------------------------ - --------------------------------- 3 n 2 14 3 n 2 14 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 6 n n 22 n n 57657600 n (n - 1) (n - 4) n (n - 1) (n - 4) - ----------------------------- - ----------------------------- 3 n 2 14 3 n 2 14 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 336720 n ((n - 1) ) (n - 2) 141376 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 20 n 19 n 26880 n ((n - 1) ) (n - 2) n (n - 5) 19 n (n - 5) - ------------------------------ + ----------------- - ---------------- 13 n 4 8 n 15 n 15 (n - 1) (n ) (n - 2) 1296 n (n - 5) 216 n (n - 5) 18 n 17 n 15 n 83 n (n - 5) 5309 n (n - 5) 305123 n (n - 5) + --------------- - ----------------- - ------------------- n 15 n 15 n 15 18 n (n - 5) 36 n (n - 5) 6 n (n - 5) 14 n 13 n 12 n 48697207 n (n - 5) 586105949 n (n - 5) 605143253 n (n - 5) + --------------------- - ---------------------- + ---------------------- n 15 n 15 n 15 81 n (n - 5) 108 n (n - 5) 16 n (n - 5) 11 n 16 n 14717052779 n (n - 5) 695387 n (n - 5) - ------------------------ + ------------------- n 15 n 15 72 n (n - 5) 216 n (n - 5) 10 n 6 n 23097691526 n (n - 5) 15662182184 n (n - 5) + ------------------------ + ----------------------- n 15 n 15 27 n (n - 5) n (n - 5) 5 n 8 n 40663135648 n (n - 5) 543983918209 n (n - 5) - ----------------------- + ------------------------ n 15 n 15 3 n (n - 5) 81 n (n - 5) 9 n 4 n 8258229161 n (n - 5) 6998311040 n (n - 5) - ---------------------- + ---------------------- n 15 n 15 3 n (n - 5) n (n - 5) 7 n 3 n 13 n 3 327748252802 n (n - 5) 1614412800 n (n - 5) 782 n ((n - 1) ) - ------------------------ - ---------------------- - ------------------- n 15 n 15 13 n 3 27 n (n - 5) n (n - 5) 9 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 2140 n ((n - 1) ) 3464 n ((n - 1) ) 1024 n ((n - 1) ) + -------------------- - -------------------- + -------------------- 13 n 3 13 n 3 13 n 3 9 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 12 n 11 n 10 n 9 n 7 n (n - 3) 133 n (n - 3) 721 n (n - 3) 3283 n (n - 3) + -------------- - ---------------- + ---------------- - ---------------- n 9 n 9 n 9 n 9 36 n (n - 3) 18 n (n - 3) 6 n (n - 3) 3 n (n - 3) 8 n 7 n 6 n 73549 n (n - 3) 130879 n (n - 3) 442211 n (n - 3) + ----------------- - ------------------ + ------------------ n 9 n 9 n 9 12 n (n - 3) 6 n (n - 3) 9 n (n - 3) 5 n 4 n 3 n 605206 n (n - 3) 50456 n (n - 3) 15680 n (n - 3) - ------------------ + ----------------- - ----------------- n 9 n 9 n 9 9 n (n - 3) n (n - 3) n (n - 3) 18 n 2 n 17 n 2 n 10101053 n ((n - 1) ) (n - 3) 21554153 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 17535424 n ((n - 1) ) (n - 3) 43501718 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 81569338 n ((n - 1) ) (n - 3) 113472404 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 37761328 n ((n - 1) ) (n - 3) 2835136 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1157888 n ((n - 1) ) (n - 3) 215040 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 1435 n ((n - 1) ) (n - 3) 11161 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 235735 n ((n - 1) ) (n - 3) 447581 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 17 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 8 n 3 11 8 n 3 11 324 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 2101 n ((n - 1) ) (n - 3) 9776 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 3 11 8 n 3 11 324 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 20 n 2 n 20 n 2 n 490063 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) + ------------------------------- + --------------------------- 8 n 3 11 10 n 3 6 324 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 2) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 13 n 4 8 13 n 4 8 216 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 1051 n ((n - 1) ) (n - 2) 773 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 13 n 4 8 13 n 4 8 216 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 124423 n ((n - 1) ) (n - 2) 66245 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 13 n 4 8 13 n 4 8 216 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 3741533 n ((n - 1) ) (n - 2) 2196007 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 13 n 4 8 13 n 4 8 216 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 4359382 n ((n - 1) ) (n - 2) 319506 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 13 n 4 8 13 n 4 8 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 12556042 n ((n - 1) ) (n - 2) 4341356 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 13 n 4 8 13 n 4 8 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 22 n 4 21 n 4 20 n 4 n ((n - 1) ) 29 n ((n - 1) ) 125 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 18 n 4 18 n 4 18 n 4 36 (n - 1) (n ) 36 (n - 1) (n ) 12 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 949 n ((n - 1) ) 1171 n ((n - 1) ) 3926 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 18 n 4 18 n 4 18 n 4 12 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 27164 n ((n - 1) ) 42556 n ((n - 1) ) 4816 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 18 n 4 18 n 4 18 n 4 9 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 13 n 4 17 n n 2880 n ((n - 1) ) 59 n (n - 1) (n - 3) + -------------------- + --------------------------- 18 n 4 3 n 2 11 (n - 1) (n ) 36 (n - 1) (n ) (n - 3) 16 n n 15 n n 386 n (n - 1) (n - 3) 11825 n (n - 1) (n - 3) - -------------------------- + --------------------------- 3 n 2 11 3 n 2 11 9 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 14 n n 13 n n 78551 n (n - 1) (n - 3) 535249 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 3 n 2 11 3 n 2 11 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 12 n n 11 n n 3828121 n (n - 1) (n - 3) 6421360 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 3 n 2 11 3 n 2 11 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 15014824 n (n - 1) (n - 3) 23820236 n (n - 1) (n - 3) - ------------------------------ + ----------------------------- 3 n 2 11 3 n 2 11 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 2698824 n (n - 1) (n - 3) 1584160 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 403200 n (n - 1) (n - 3) n (n - 1) (n - 3) - --------------------------- - --------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 11 n ((n - 1) ) (n - 2) 122 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 6 10 n 3 6 12 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 237 n ((n - 1) ) (n - 2) 8159 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 2 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 10745 n ((n - 1) ) (n - 2) 134089 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 4 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 43447 n ((n - 1) ) (n - 2) 173818 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 16792 n ((n - 1) ) (n - 2) 8544 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n 2 n 1920 n ((n - 1) ) (n - 2) 14891 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 10 n 3 6 8 n 3 8 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 22183 n ((n - 1) ) (n - 2) 309886 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 8 n 3 8 8 n 3 8 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 222520 n ((n - 1) ) (n - 2) 976688 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 307544 n ((n - 1) ) (n - 2) 56128 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 20 n 2 n 13440 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 13 n ((n - 1) ) (n - 2) 337 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 8 8 n 3 8 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 18 n n 1135 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ----------------------------- - -------------------------- 8 n 3 8 5 n 2 9 3 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 3) 17 n n 16 n n 47 n (n - 1) (n - 3) 493 n (n - 1) (n - 3) + -------------------------- - ------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 6101 n (n - 1) (n - 3) 11017 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 185677 n (n - 1) (n - 3) 1108474 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n n 10 n n 3146648 n (n - 1) (n - 3) 6317168 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 8736136 n (n - 1) (n - 3) 2628736 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 462464 n (n - 1) (n - 3) 107520 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 5 2048 n ((n - 1) ) - -------------------- 23 n 5 (n - 1) (n ) and in Maple notation -8*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2-128*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-768*n^ 12*((n-1)^n)^4/(n-1)^18/(n^n)^4-1/324*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n /(n-2)^6+1/9*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-20/9*n^15*((n-1)^n)^3/(n-1)^13/( n^n)^3+169/9*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/324*n^28*((n-1)^n)^5/(n-1)^23/ (n^n)^5-19/162*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^5+331/162*n^26*((n-1)^n)^5/(n-1) ^23/(n^n)^5-1750/81*n^25*((n-1)^n)^5/(n-1)^23/(n^n)^5+5569/36*n^24*((n-1)^n)^5/ (n-1)^23/(n^n)^5-42767/54*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^5+241586/81*n^22*((n-\ 1)^n)^5/(n-1)^23/(n^n)^5-677572/81*n^21*((n-1)^n)^5/(n-1)^23/(n^n)^5+1415284/81 *n^20*((n-1)^n)^5/(n-1)^23/(n^n)^5-2174408/81*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^5 +796160/27*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^5-65792/3*n^17*((n-1)^n)^5/(n-1)^23/ (n^n)^5+29696/3*n^16*((n-1)^n)^5/(n-1)^23/(n^n)^5+28671863/36/(n^n)*n^10*(n-4)^ n/(n-4)^12+125556848/3/(n^n)*n^6*(n-4)^n/(n-4)^12-43003996/(n^n)*n^5*(n-4)^n/(n -4)^12+103818484/9/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/36/(n^n)*n^9*(n-4)^n/(n -4)^12+25634640/(n^n)*n^4*(n-4)^n/(n-4)^12-71/36/(n^n)*n^15*(n-4)^n/(n-4)^12+1/ 36/(n^n)*n^16*(n-4)^n/(n-4)^12+2261/36/(n^n)*n^14*(n-4)^n/(n-4)^12+59147/4/(n^n )*n^12*(n-4)^n/(n-4)^12-1540231/12/(n^n)*n^11*(n-4)^n/(n-4)^12-42691/36/(n^n)*n ^13*(n-4)^n/(n-4)^12-238295684/9/(n^n)*n^7*(n-4)^n/(n-4)^12-6652800/(n^n)*n^3*( n-4)^n/(n-4)^12-1/6*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+11/6*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^2-22/3*n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+38/3*n^7*((n-1)^n)^2/(n-1)^8/(n ^n)^2+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2) ^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8 -5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-1/9*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6 +8/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-82/3*n^12*(n-1)^n/(n-1)^5/(n^ n)^2*(n-2)^n/(n-2)^6+156*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-541*n^10* (n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+1164*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^ n/(n-2)^6-13604/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+3232/3*n^7*(n-1)^ n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-320*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2) ^6-7/36*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+35/6*n^13*(n-1)^n/(n-1)^3/ (n^n)^2*(n-2)^n/(n-2)^8-147/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+1519 /3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-24941/12*n^10*(n-1)^n/(n-1)^3/( n^n)^2*(n-2)^n/(n-2)^8+31115/6*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-\ 68831/9*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8+6062*n^7*(n-1)^n/(n-1)^3/(n ^n)^2*(n-2)^n/(n-2)^8-1960*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^8-811/324* n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+265/9*n^23*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^6-76351/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/ (n-2)^6+73271/54*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-1877309/324* n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+7/54*n^25*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^6+503062/27*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/ (n-2)^6+2936768/27*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-214144/3*n ^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+745936/9*n^17*((n-1)^n)^3/(n-1 )^15/(n^n)^4*(n-2)^n/(n-2)^6-3670274/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2) ^n/(n-2)^6+84992/3*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-9084500/81 *n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-5120*n^12*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^6-1094645/81*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/ (n-3)^11+28802543/324*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-\ 35499178/81*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11+132207119/81*n^16 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-371846464/81*n^15*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-3)^n/(n-3)^11+783169604/81*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^11-1212544096/81*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11+ 445052080/27*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-109588736/9*n^11 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11+16167680/3*n^10*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^11-1075200*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^11+4360130225/162*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+786641080/3* n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-586157248/3*n^8*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^12+12464402260/81*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^12-5991724802/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+87578240*n^7*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-244258/81*n^18*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^12+32455/162*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+ 5287915/162*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+259739645/162*n^15*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-2428307783/324*n^14*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^12-42561541/162*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12 -6408855332/27*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-17740800*n^6*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+20/81*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/ (n-4)^12-1463/162*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1/324*n^22*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+49/648*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^ n/(n-4)^14-274/81*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14-1086449/648*n^ 18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14+3561649/162*n^17*(n-1)^n/(n-1)^3/(n ^n)^2*(n-4)^n/(n-4)^14-17275544/81*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 14+505151647/324*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14-11233340261/1296 *n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14+29669/324*n^19*(n-1)^n/(n-1)^3/( n^n)^2*(n-4)^n/(n-4)^14+23793031691/648*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n -4)^14+1884626954/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14-1573134016/3*n ^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14+23009354641/81*n^11*(n-1)^n/(n-1)^3 /(n^n)^2*(n-4)^n/(n-4)^14-19110862225/162*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/ (n-4)^14+260235680*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14-13551922355/27* n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14-57657600*n^6*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^14-1/1296*n^22*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^14-\ 336720*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+141376*n^13*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-26880*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2 )^n/(n-2)^8+1/1296/(n^n)*n^20*(n-5)^n/(n-5)^15-19/216/(n^n)*n^19*(n-5)^n/(n-5)^ 15+83/18/(n^n)*n^18*(n-5)^n/(n-5)^15-5309/36/(n^n)*n^17*(n-5)^n/(n-5)^15-305123 /6/(n^n)*n^15*(n-5)^n/(n-5)^15+48697207/81/(n^n)*n^14*(n-5)^n/(n-5)^15-\ 586105949/108/(n^n)*n^13*(n-5)^n/(n-5)^15+605143253/16/(n^n)*n^12*(n-5)^n/(n-5) ^15-14717052779/72/(n^n)*n^11*(n-5)^n/(n-5)^15+695387/216/(n^n)*n^16*(n-5)^n/(n -5)^15+23097691526/27/(n^n)*n^10*(n-5)^n/(n-5)^15+15662182184/(n^n)*n^6*(n-5)^n /(n-5)^15-40663135648/3/(n^n)*n^5*(n-5)^n/(n-5)^15+543983918209/81/(n^n)*n^8*(n -5)^n/(n-5)^15-8258229161/3/(n^n)*n^9*(n-5)^n/(n-5)^15+6998311040/(n^n)*n^4*(n-\ 5)^n/(n-5)^15-327748252802/27/(n^n)*n^7*(n-5)^n/(n-5)^15-1614412800/(n^n)*n^3*( n-5)^n/(n-5)^15-782/9*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+2140/9*n^12*((n-1)^n)^3 /(n-1)^13/(n^n)^3-3464/9*n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3+1024/3*n^10*((n-1)^n )^3/(n-1)^13/(n^n)^3+7/36/(n^n)*n^12*(n-3)^n/(n-3)^9-133/18/(n^n)*n^11*(n-3)^n/ (n-3)^9+721/6/(n^n)*n^10*(n-3)^n/(n-3)^9-3283/3/(n^n)*n^9*(n-3)^n/(n-3)^9+73549 /12/(n^n)*n^8*(n-3)^n/(n-3)^9-130879/6/(n^n)*n^7*(n-3)^n/(n-3)^9+442211/9/(n^n) *n^6*(n-3)^n/(n-3)^9-605206/9/(n^n)*n^5*(n-3)^n/(n-3)^9+50456/(n^n)*n^4*(n-3)^n /(n-3)^9-15680/(n^n)*n^3*(n-3)^n/(n-3)^9+10101053/216*n^18*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-3)^n/(n-3)^9-21554153/108*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n /(n-3)^9+17535424/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-43501718 /27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+81569338/27*n^14*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-113472404/27*n^13*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^9+37761328/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3) ^9-2835136*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1157888*n^10*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-215040*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-3)^n/(n-3)^9+1/216*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-7/27*n ^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1435/216*n^22*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^9-11161/108*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^ n/(n-3)^9+235735/216*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-447581/ 54*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1/324*n^24*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-3)^n/(n-3)^11-17/81*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n -3)^11+2101/324*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-9776/81*n^21* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11+490063/324*n^20*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-3)^n/(n-3)^11+1/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2) ^6-1/216*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+2/9*n^25*((n-1)^n)^3 /(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-1051/216*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n -2)^n/(n-2)^8+773/12*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-124423/ 216*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+66245/18*n^21*((n-1)^n)^3 /(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-3741533/216*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-2)^n/(n-2)^8+2196007/36*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-\ 4359382/27*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+319506*n^17*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-12556042/27*n^16*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-2)^n/(n-2)^8+4341356/9*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2) ^8-1/36*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^4+29/36*n^21*((n-1)^n)^4/(n-1)^18/(n^n) ^4-125/12*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^4+949/12*n^19*((n-1)^n)^4/(n-1)^18/(n ^n)^4-1171/3*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+3926/3*n^17*((n-1)^n)^4/(n-1)^18 /(n^n)^4-27164/9*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+42556/9*n^15*((n-1)^n)^4/(n-\ 1)^18/(n^n)^4-4816*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+2880*n^13*((n-1)^n)^4/(n-1 )^18/(n^n)^4+59/36*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-386/9*n^16*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11+11825/18*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 3)^n/(n-3)^11-78551/12*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11+535249/12* n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-3828121/18*n^12*(n-1)^n/(n-1)^3/( n^n)^2*(n-3)^n/(n-3)^11+6421360/9*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11 -15014824/9*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11+23820236/9*n^9*(n-1)^ n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-2698824*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/ (n-3)^11+1584160*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-403200*n^6*(n-1)^ n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^11-1/36*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n -3)^11-11/12*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+122/9*n^18*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-2)^n/(n-2)^6+8159/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 10745/4*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/18*n^14*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43447/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^6+173818/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 16792*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+8544*n^10*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1920*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^6+14891/6*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-22183/2*n^15*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+309886/9*n^14*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^8-222520/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+ 976688/9*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-307544/3*n^11*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+56128*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 2)^n/(n-2)^8-13440*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+1/18*n^20*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-13/6*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-2)^n/(n-2)^8+337/9*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-1135/3* n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-1/18*n^18*(n-1)^n/(n-1)^5/(n^n )^2*(n-3)^n/(n-3)^9+47/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/9*n^ 16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+6101/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2* (n-3)^n/(n-3)^9-11017/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/6*n ^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1108474/9*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-3)^n/(n-3)^9+3146648/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 6317168/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+8736136/9*n^9*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^9-2628736/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^9+462464*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-107520*n^6*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^9-2048*n^15*((n-1)^n)^5/(n-1)^23/(n^n)^5 The, 2, 1, mixed moment of, X[2], and , X[4], is 6 n 2 10 n n 9 n n 8 n ((n - 1) ) 91 n (n - 1) (n - 2) 95 n (n - 1) (n - 2) - ---------------- - ------------------------- + ------------------------- 8 n 2 5 n 2 4 5 n 2 4 (n - 1) (n ) 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 242 n (n - 1) (n - 2) 70 n (n - 1) (n - 2) - ------------------------- + ----------------------- 5 n 2 4 5 n 2 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 12 n n 24 n (n - 1) (n - 2) n (n - 1) (n - 2) - ----------------------- - ------------------------- 5 n 2 4 3 n 2 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 17 n (n - 1) (n - 2) 115 n (n - 1) (n - 2) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 9 n n 8 n n 395 n (n - 1) (n - 2) 724 n (n - 1) (n - 2) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 668 n (n - 1) (n - 2) 80 n (n - 1) (n - 2) + ------------------------- - ----------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 10 n 2 n (n - 1) (n - 2) 5 n (n - 1) (n - 2) n ((n - 1) ) - ------------------------- + ------------------------- - ---------------- 5 n 2 4 5 n 2 4 8 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 11 n ((n - 1) ) 22 n ((n - 1) ) 38 n ((n - 1) ) + ----------------- - ----------------- + ----------------- 8 n 2 8 n 2 8 n 2 6 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 9 n 3 14 n 3 (n - 2) n 5 (n - 2) n 32 n ((n - 1) ) n ((n - 1) ) + ------------- - ------------- - ----------------- + ----------------- 6 n 6 n 11 n 3 11 n 3 6 (n - 2) n 2 (n - 2) n (n - 1) (n ) 3 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 13 n ((n - 1) ) 22 n ((n - 1) ) 164 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 11 n 3 11 n 3 11 n 3 3 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 10 n 3 10 n 9 n 8 n 200 n ((n - 1) ) n (n - 3) 23 n (n - 3) 217 n (n - 3) + ------------------- + ------------- - -------------- + --------------- 11 n 3 n 7 n 7 n 7 3 (n - 1) (n ) 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 7 n 6 n 5 n 4 n 1085 n (n - 3) 1547 n (n - 3) 2506 n (n - 3) 708 n (n - 3) - ---------------- + ---------------- - ---------------- + --------------- n 7 n 7 n 7 n 7 6 n (n - 3) 3 n (n - 3) 3 n (n - 3) n (n - 3) 3 n 240 n (n - 3) - --------------- n 7 n (n - 3) and in Maple notation -8*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2-91/6*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n -2)^4+95/2*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4-242/3*n^8*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-2)^n/(n-2)^4+70*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4-24*n^6 *(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4-1/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2) ^n/(n-2)^6+17/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-115/3*n^10*(n-1)^n /(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+395/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2 )^6-724/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+668/3*n^7*(n-1)^n/(n-1)^3 /(n^n)^2*(n-2)^n/(n-2)^6-80*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-1/6*n^ 12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4+5/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^4-1/6*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+11/6*n^9*((n-1)^n)^2/(n-1)^8/ (n^n)^2-22/3*n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+38/3*n^7*((n-1)^n)^2/(n-1)^8/(n^n) ^2+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/ (n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/ 2*(n-2)^n/(n-2)^6/(n^n)*n^7-32*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3+1/3*n^14*((n-1) ^n)^3/(n-1)^11/(n^n)^3-13/3*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^3+22*n^12*((n-1)^n) ^3/(n-1)^11/(n^n)^3-164/3*n^11*((n-1)^n)^3/(n-1)^11/(n^n)^3+200/3*n^10*((n-1)^n )^3/(n-1)^11/(n^n)^3+1/6/(n^n)*n^10*(n-3)^n/(n-3)^7-23/6/(n^n)*n^9*(n-3)^n/(n-3 )^7+217/6/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/6/(n^n)*n^7*(n-3)^n/(n-3)^7+1547/3/(n^ n)*n^6*(n-3)^n/(n-3)^7-2506/3/(n^n)*n^5*(n-3)^n/(n-3)^7+708/(n^n)*n^4*(n-3)^n/( n-3)^7-240/(n^n)*n^3*(n-3)^n/(n-3)^7 The, 2, 2, mixed moment of, X[2], and , X[4], is 9 n 3 16 n 3 15 n 3 32 n ((n - 1) ) n ((n - 1) ) 5 n ((n - 1) ) - ----------------- + ------------------ - ----------------- 13 n 3 13 n 3 13 n 3 (n - 1) (n ) 36 (n - 1) (n ) 9 (n - 1) (n ) 14 n 3 12 n n 169 n ((n - 1) ) n (n - 1) (n - 2) + ------------------- - ------------------------- 13 n 3 3 n 2 6 36 (n - 1) (n ) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 17 n (n - 1) (n - 2) 115 n (n - 1) (n - 2) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 9 n n 8 n n 395 n (n - 1) (n - 2) 724 n (n - 1) (n - 2) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 668 n (n - 1) (n - 2) 80 n (n - 1) (n - 2) + ------------------------- - ----------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 610 n (n - 1) (n - 3) 2117 n (n - 1) (n - 3) + ------------------------- - -------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 3682 n (n - 1) (n - 3) 77920 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 122120 n (n - 1) (n - 3) 40616 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 7744 n (n - 1) (n - 3) 1920 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 8 n ((n - 1) ) (n - 2) + -------------------------- - -------------------------- 6 n 3 8 6 n 3 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 73 n ((n - 1) ) (n - 2) 280 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 6 n 3 8 6 n 3 8 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 5299 n ((n - 1) ) (n - 2) 4004 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 6 n 3 8 6 n 3 8 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 23168 n ((n - 1) ) (n - 2) 27460 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 6 n 3 8 6 n 3 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2012 n ((n - 1) ) (n - 2) 560 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 20 n (n - 1) (n - 3) 347 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n n 12 n n 1144 n (n - 1) (n - 3) 4753 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 29204 n (n - 1) (n - 3) 238528 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 425608 n (n - 1) (n - 3) 475576 n (n - 1) (n - 3) + --------------------------- - --------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 7 n n 6 n n 33312 n (n - 1) (n - 3) 8960 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 11 n 10 n n (n - 1) (n - 3) 2345 n (n - 4) 38581 n (n - 4) - -------------------------- - ----------------- + ------------------ 3 n 2 9 n 10 n 10 18 (n - 1) (n ) (n - 3) 6 n (n - 4) 12 n (n - 4) 9 n 8 n 7 n 107065 n (n - 4) 2449943 n (n - 4) 3203525 n (n - 4) - ------------------ + ------------------- - ------------------- n 10 n 10 n 10 6 n (n - 4) 36 n (n - 4) 18 n (n - 4) 6 n 5 n 4 n 936013 n (n - 4) 348110 n (n - 4) 221496 n (n - 4) + ------------------ - ------------------ + ------------------ n 10 n 10 n 10 3 n (n - 4) n (n - 4) n (n - 4) 3 n 14 n 13 n 12 n 60480 n (n - 4) n (n - 4) 25 n (n - 4) 367 n (n - 4) - ----------------- + --------------- - --------------- + ---------------- n 10 n 10 n 10 n 10 n (n - 4) 36 n (n - 4) 18 n (n - 4) 12 n (n - 4) 20 n 4 19 n 4 18 n 4 n ((n - 1) ) 11 n ((n - 1) ) 209 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 16 n 4 16 n 4 16 n 4 12 (n - 1) (n ) 6 (n - 1) (n ) 12 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 280 n ((n - 1) ) 926 n ((n - 1) ) 1936 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 16 n 4 16 n 4 16 n 4 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 14 n 4 13 n 4 12 n 4 2500 n ((n - 1) ) 608 n ((n - 1) ) 192 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 16 n 4 16 n 4 16 n 4 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 14 n n (n - 2) n 5 (n - 2) n n (n - 1) (n - 2) + ------------- - ------------- - -------------------------- 6 n 6 n 5 n 2 6 6 (n - 2) n 2 (n - 2) n 18 (n - 1) (n ) (n - 2) 13 n n 12 n n 4 n (n - 1) (n - 2) 41 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 78 n (n - 1) (n - 2) 541 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 582 n (n - 1) (n - 2) 6802 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 9 n 3 1616 n (n - 1) (n - 2) 160 n (n - 1) (n - 2) 16 n ((n - 1) ) + ------------------------- - ------------------------ - ----------------- 5 n 2 6 5 n 2 6 11 n 3 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) (n - 1) (n ) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 10 n 3 4 10 n 3 4 36 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 2 n 12 n 2 n 7 n ((n - 1) ) (n - 2) 5837 n ((n - 1) ) (n - 2) + -------------------------- + ----------------------------- 10 n 3 4 10 n 3 4 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 662 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 10 n 3 4 10 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 15 n 2 n 96 n ((n - 1) ) (n - 2) 253 n ((n - 1) ) (n - 2) - -------------------------- - ---------------------------- 10 n 3 4 10 n 3 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1925 n ((n - 1) ) (n - 2) 2395 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 4 10 n 3 4 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 26 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 98 n ((n - 1) ) (n - 2) 632 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 853 n ((n - 1) ) (n - 2) 2246 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 34556 n ((n - 1) ) (n - 2) 36904 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 7424 n ((n - 1) ) (n - 2) 640 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n n (n - 1) (n - 3) 16 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 7 5 n 2 7 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n n 13 n 3 12 n 3 25 n (n - 1) (n - 3) 391 n ((n - 1) ) 535 n ((n - 1) ) - ------------------------ - ------------------- + ------------------- 5 n 2 7 13 n 3 13 n 3 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) 9 (n - 1) (n ) 11 n 3 10 n 3 12 n 866 n ((n - 1) ) 256 n ((n - 1) ) n (n - 3) - ------------------- + ------------------- + -------------- 13 n 3 13 n 3 n 9 9 (n - 1) (n ) 3 (n - 1) (n ) 36 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 18 n (n - 3) 6 n (n - 3) 3 n (n - 3) 12 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 86458 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 6 n (n - 3) 9 n (n - 3) 9 n (n - 3) 4 n 3 n 14 n 3 7208 n (n - 3) 2240 n (n - 3) n ((n - 1) ) + ---------------- - ---------------- + ----------------- n 9 n 9 11 n 3 n (n - 3) n (n - 3) 6 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 13 n ((n - 1) ) 11 n ((n - 1) ) 82 n ((n - 1) ) - ------------------ + ------------------ - ------------------ 11 n 3 11 n 3 11 n 3 6 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 10 n 3 10 n 9 n 8 n 100 n ((n - 1) ) n (n - 3) 23 n (n - 3) 217 n (n - 3) + ------------------- + ------------- - -------------- + --------------- 11 n 3 n 7 n 7 n 7 3 (n - 1) (n ) 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 7 n 6 n 5 n 4 n 1085 n (n - 3) 1547 n (n - 3) 2506 n (n - 3) 708 n (n - 3) - ---------------- + ---------------- - ---------------- + --------------- n 7 n 7 n 7 n 7 6 n (n - 3) 3 n (n - 3) 3 n (n - 3) n (n - 3) 3 n 240 n (n - 3) - --------------- n 7 n (n - 3) and in Maple notation -32*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/36*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-5/9 *n^15*((n-1)^n)^3/(n-1)^13/(n^n)^3+169/36*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3-1/3 *n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+17/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2 *(n-2)^n/(n-2)^6-115/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+395/3*n^9*( n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-724/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^ n/(n-2)^6+668/3*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-80*n^6*(n-1)^n/(n-1 )^3/(n^n)^2*(n-2)^n/(n-2)^6+610/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-\ 2117/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+3682*n^11*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^7-77920/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+ 122120/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-40616/3*n^8*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^7+7744*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-1920 *n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+1/36*n^18*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-2)^n/(n-2)^8-8/9*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8+73/6*n ^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8-280/3*n^15*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-2)^n/(n-2)^8+5299/12*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^ 8-4004/3*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8+23168/9*n^12*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8-27460/9*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -2)^n/(n-2)^8+2012*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8-560*n^9*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8+20/9*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-3 )^n/(n-3)^9-347/9*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+1144/3*n^13*(n-1 )^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-4753/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n /(n-3)^9+29204/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-238528/9*n^10*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+425608/9*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^9-475576/9*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+33312*n^7*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-8960*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-\ 3)^9-1/18*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-2345/6/(n^n)*n^11*(n-4)^ n/(n-4)^10+38581/12/(n^n)*n^10*(n-4)^n/(n-4)^10-107065/6/(n^n)*n^9*(n-4)^n/(n-4 )^10+2449943/36/(n^n)*n^8*(n-4)^n/(n-4)^10-3203525/18/(n^n)*n^7*(n-4)^n/(n-4)^ 10+936013/3/(n^n)*n^6*(n-4)^n/(n-4)^10-348110/(n^n)*n^5*(n-4)^n/(n-4)^10+221496 /(n^n)*n^4*(n-4)^n/(n-4)^10-60480/(n^n)*n^3*(n-4)^n/(n-4)^10+1/36/(n^n)*n^14*(n -4)^n/(n-4)^10-25/18/(n^n)*n^13*(n-4)^n/(n-4)^10+367/12/(n^n)*n^12*(n-4)^n/(n-4 )^10-1/12*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^4+11/6*n^19*((n-1)^n)^4/(n-1)^16/(n^n )^4-209/12*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^4+280/3*n^17*((n-1)^n)^4/(n-1)^16/(n ^n)^4-926/3*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^4+1936/3*n^15*((n-1)^n)^4/(n-1)^16/ (n^n)^4-2500/3*n^14*((n-1)^n)^4/(n-1)^16/(n^n)^4+608*n^13*((n-1)^n)^4/(n-1)^16/ (n^n)^4-192*n^12*((n-1)^n)^4/(n-1)^16/(n^n)^4+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75 /2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6 /(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-1/18*n^ 14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+4/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^6-41/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+78*n^11*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-541/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2 )^6+582*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-6802/9*n^8*(n-1)^n/(n-1)^5/ (n^n)^2*(n-2)^n/(n-2)^6+1616/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-160* n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-16*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3 +1/36*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-2/3*n^17*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-2)^n/(n-2)^4+7*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2 )^4+5837/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-662*n^11*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+384*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2) ^n/(n-2)^4-96*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-253/6*n^15*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+1925/12*n^14*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-2)^n/(n-2)^4-2395/6*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+1/9 *n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-26/9*n^17*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-2)^n/(n-2)^6+98/3*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-\ 632/3*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+853*n^14*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-2)^n/(n-2)^6-2246*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2 )^6+34556/9*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-36904/9*n^11*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+7424/3*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-2)^n/(n-2)^6-640*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1/18*n^16*( n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+16/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^ n/(n-3)^7-25*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-391/18*n^13*((n-1)^n) ^3/(n-1)^13/(n^n)^3+535/9*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^3-866/9*n^11*((n-1)^n )^3/(n-1)^13/(n^n)^3+256/3*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/36/(n^n)*n^12*(n -3)^n/(n-3)^9-19/18/(n^n)*n^11*(n-3)^n/(n-3)^9+103/6/(n^n)*n^10*(n-3)^n/(n-3)^9 -469/3/(n^n)*n^9*(n-3)^n/(n-3)^9+10507/12/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/6/(n^ n)*n^7*(n-3)^n/(n-3)^9+63173/9/(n^n)*n^6*(n-3)^n/(n-3)^9-86458/9/(n^n)*n^5*(n-3 )^n/(n-3)^9+7208/(n^n)*n^4*(n-3)^n/(n-3)^9-2240/(n^n)*n^3*(n-3)^n/(n-3)^9+1/6*n ^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-13/6*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^3+11*n^12 *((n-1)^n)^3/(n-1)^11/(n^n)^3-82/3*n^11*((n-1)^n)^3/(n-1)^11/(n^n)^3+100/3*n^10 *((n-1)^n)^3/(n-1)^11/(n^n)^3+1/6/(n^n)*n^10*(n-3)^n/(n-3)^7-23/6/(n^n)*n^9*(n-\ 3)^n/(n-3)^7+217/6/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/6/(n^n)*n^7*(n-3)^n/(n-3)^7+ 1547/3/(n^n)*n^6*(n-3)^n/(n-3)^7-2506/3/(n^n)*n^5*(n-3)^n/(n-3)^7+708/(n^n)*n^4 *(n-3)^n/(n-3)^7-240/(n^n)*n^3*(n-3)^n/(n-3)^7 The, 2, 3, mixed moment of, X[2], and , X[4], is 12 n 4 12 n n 11 n n 128 n ((n - 1) ) n (n - 1) (n - 2) 17 n (n - 1) (n - 2) - ------------------- - ------------------------- + ------------------------- 18 n 4 3 n 2 6 3 n 2 6 (n - 1) (n ) 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 115 n (n - 1) (n - 2) 395 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 724 n (n - 1) (n - 2) 668 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 13 n n 80 n (n - 1) (n - 2) 305 n (n - 1) (n - 3) - ----------------------- + ------------------------- 3 n 2 6 5 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 12 n n 11 n n 6351 n (n - 1) (n - 3) 5523 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 38960 n (n - 1) (n - 3) 61060 n (n - 1) (n - 3) - --------------------------- + -------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 20308 n (n - 1) (n - 3) 11616 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n 2 n 2880 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 5 n 2 7 6 n 3 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 8 n ((n - 1) ) (n - 2) 73 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 6 n 3 8 6 n 3 8 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 280 n ((n - 1) ) (n - 2) 5299 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 4004 n ((n - 1) ) (n - 2) 23168 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 27460 n ((n - 1) ) (n - 2) 6036 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 6 n 3 8 6 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 15 n n 1680 n ((n - 1) ) (n - 2) 20 n (n - 1) (n - 3) - ---------------------------- + ------------------------- 6 n 3 8 3 n 2 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 3) 14 n n 13 n n 347 n (n - 1) (n - 3) 1144 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 14259 n (n - 1) (n - 3) 29204 n (n - 1) (n - 3) - --------------------------- + --------------------------- 3 n 2 9 3 n 2 9 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 238528 n (n - 1) (n - 3) 425608 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 475576 n (n - 1) (n - 3) 99936 n (n - 1) (n - 3) - --------------------------- + -------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n n 26880 n (n - 1) (n - 3) n (n - 1) (n - 3) - -------------------------- - ------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 58944 n ((n - 1) ) (n - 3) 11520 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 2) 41 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 11 n 4 8 11 n 4 8 72 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 94 n ((n - 1) ) (n - 2) 4079 n ((n - 1) ) (n - 2) - --------------------------- + ----------------------------- 11 n 4 8 11 n 4 8 9 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 6477 n ((n - 1) ) (n - 2) 96331 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 11 n 4 8 11 n 4 8 8 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 509533 n ((n - 1) ) (n - 2) 321833 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 11 n 4 8 11 n 4 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 577952 n ((n - 1) ) (n - 2) 719002 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 11 n 4 8 11 n 4 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 195868 n ((n - 1) ) (n - 2) 31424 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 11 n 4 8 11 n 4 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 18 n 2 n 6720 n ((n - 1) ) (n - 2) 123557 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 11 n 4 8 8 n 3 9 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 251779 n ((n - 1) ) (n - 3) 1665505 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 12 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 15 n 2 n 11 n 2681798 n ((n - 1) ) (n - 3) 2345 n (n - 4) - -------------------------------- - ----------------- 8 n 3 9 n 10 9 (n - 1) (n ) (n - 3) 2 n (n - 4) 10 n 9 n 8 n 38581 n (n - 4) 107065 n (n - 4) 2449943 n (n - 4) + ------------------ - ------------------ + ------------------- n 10 n 10 n 10 4 n (n - 4) 2 n (n - 4) 12 n (n - 4) 7 n 6 n 5 n 3203525 n (n - 4) 936013 n (n - 4) 1044330 n (n - 4) - ------------------- + ------------------ - ------------------- n 10 n 10 n 10 6 n (n - 4) n (n - 4) n (n - 4) 4 n 3 n 14 n 664488 n (n - 4) 181440 n (n - 4) n (n - 4) + ------------------ - ------------------ + --------------- n 10 n 10 n 10 n (n - 4) n (n - 4) 12 n (n - 4) 13 n 12 n 20 n 4 25 n (n - 4) 367 n (n - 4) n ((n - 1) ) - --------------- + ---------------- - ------------------ n 10 n 10 16 n 4 6 n (n - 4) 4 n (n - 4) 12 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 11 n ((n - 1) ) 209 n ((n - 1) ) 280 n ((n - 1) ) + ------------------ - ------------------- + ------------------- 16 n 4 16 n 4 16 n 4 6 (n - 1) (n ) 12 (n - 1) (n ) 3 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 926 n ((n - 1) ) 1936 n ((n - 1) ) 2500 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 16 n 4 16 n 4 16 n 4 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 13 n 4 26 n 5 25 n 5 608 n ((n - 1) ) n ((n - 1) ) 31 n ((n - 1) ) + ------------------- + ------------------ - ------------------ 16 n 4 21 n 5 21 n 5 (n - 1) (n ) 54 (n - 1) (n ) 54 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 433 n ((n - 1) ) 1199 n ((n - 1) ) 1097 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 21 n 5 21 n 5 21 n 5 54 (n - 1) (n ) 18 (n - 1) (n ) 3 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 12536 n ((n - 1) ) 101440 n ((n - 1) ) 193768 n ((n - 1) ) - --------------------- + ---------------------- - ---------------------- 21 n 5 21 n 5 21 n 5 9 (n - 1) (n ) 27 (n - 1) (n ) 27 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 256912 n ((n - 1) ) 25024 n ((n - 1) ) 4352 n ((n - 1) ) + ---------------------- - --------------------- + -------------------- 21 n 5 21 n 5 21 n 5 27 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 18 n 17 n 15 n n (n - 5) 29 n (n - 5) 27425 n (n - 5) + ---------------- - --------------- - ------------------ n 13 n 13 n 13 216 n (n - 5) 72 n (n - 5) 72 n (n - 5) 14 n 13 n 12 n 1323907 n (n - 5) 5062343 n (n - 5) 128154455 n (n - 5) + -------------------- - -------------------- + ---------------------- n 13 n 13 n 13 216 n (n - 5) 72 n (n - 5) 216 n (n - 5) 11 n 16 n 10 n 269687275 n (n - 5) 3445 n (n - 5) 480977926 n (n - 5) - ---------------------- + ----------------- + ---------------------- n 13 n 13 n 13 72 n (n - 5) 216 n (n - 5) 27 n (n - 5) 6 n 5 n 8 n 453768024 n (n - 5) 413499808 n (n - 5) 4586344360 n (n - 5) + --------------------- - --------------------- + ---------------------- n 13 n 13 n 13 n (n - 5) n (n - 5) 27 n (n - 5) 9 n 4 n 7 n 573602744 n (n - 5) 222817920 n (n - 5) 2975326250 n (n - 5) - --------------------- + --------------------- - ---------------------- n 13 n 13 n 13 9 n (n - 5) n (n - 5) 9 n (n - 5) 3 n 24 n 3 n 53222400 n (n - 5) n ((n - 1) ) (n - 2) - -------------------- - ---------------------------- n 13 15 n 4 4 n (n - 5) 216 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 2 n 11 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + --------------------------- + ---------------------------- 15 n 4 4 6 n 3 11 72 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 61 n ((n - 1) ) (n - 3) 277 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 6 n 3 11 6 n 3 11 216 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 13369 n ((n - 1) ) (n - 3) 282953 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 6 n 3 11 6 n 3 11 108 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 692351 n ((n - 1) ) (n - 3) 1358467 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 6 n 3 11 6 n 3 11 72 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 10249481 n ((n - 1) ) (n - 3) 4642924 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 6 n 3 11 6 n 3 11 54 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 26924942 n ((n - 1) ) (n - 3) 35964944 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 6 n 3 11 6 n 3 11 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3490904 n ((n - 1) ) (n - 3) 1785760 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 6 n 3 11 6 n 3 11 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n 2 n 12 n 4 134400 n ((n - 1) ) (n - 3) 192 n ((n - 1) ) - ------------------------------ - ------------------- 6 n 3 11 16 n 4 (n - 1) (n ) (n - 3) (n - 1) (n ) 22 n 3 n 21 n 3 n 247 n ((n - 1) ) (n - 2) 739 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 15 n 4 4 15 n 4 4 108 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 8855 n ((n - 1) ) (n - 2) 4143 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 15 n 4 4 15 n 4 4 72 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 54494 n ((n - 1) ) (n - 2) 4456 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 15 n 4 4 15 n 4 4 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 1952 n ((n - 1) ) (n - 2) 384 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 15 n 4 4 15 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 84815 n ((n - 1) ) (n - 2) 31091 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 4 4 15 n 4 4 54 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 3 n 24 n 3 n 147530 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------- - --------------------------- 15 n 4 4 13 n 4 6 27 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 35 n ((n - 1) ) (n - 2) 277 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 13 n 4 6 13 n 4 6 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 2621 n ((n - 1) ) (n - 2) 11003 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 6 13 n 4 6 18 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 48553 n ((n - 1) ) (n - 2) 115397 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 13 n 4 6 13 n 4 6 12 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 264430 n ((n - 1) ) (n - 2) 434500 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 498764 n ((n - 1) ) (n - 2) 42128 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 19008 n ((n - 1) ) (n - 2) 3840 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 4 6 13 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 41 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 7 10 n 3 7 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 191 n ((n - 1) ) (n - 3) 4283 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 18 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 21487 n ((n - 1) ) (n - 3) 114571 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 10 n 3 7 10 n 3 7 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 667771 n ((n - 1) ) (n - 3) 478406 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1010540 n ((n - 1) ) (n - 3) 1552882 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 561956 n ((n - 1) ) (n - 3) 135888 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 9 n n 185862479 n (n - 1) (n - 4) 380125684 n (n - 1) (n - 4) + ------------------------------- + ------------------------------ 3 n 2 12 3 n 2 12 108 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 8 n n 11 n n 111642632 n (n - 1) (n - 4) 445932652 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 3 n 2 12 3 n 2 12 3 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 12 n n 7 n n 112051907 n (n - 1) (n - 4) 19307360 n (n - 1) (n - 4) - ------------------------------- + ----------------------------- 3 n 2 12 3 n 2 12 18 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 89 n (n - 1) (n - 4) 73 n (n - 1) (n - 4) - -------------------------- + ---------------------------- 3 n 2 12 3 n 2 12 4 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 17 n n 15 n n 47213 n (n - 1) (n - 4) 1895113 n (n - 1) (n - 4) + ---------------------------- + ----------------------------- 3 n 2 12 3 n 2 12 108 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 14 n n 16 n n 37913249 n (n - 1) (n - 4) 617705 n (n - 1) (n - 4) - ------------------------------ - ---------------------------- 3 n 2 12 3 n 2 12 108 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 10 n n 6 n n 853261912 n (n - 1) (n - 4) 4435200 n (n - 1) (n - 4) - ------------------------------- - ---------------------------- 3 n 2 12 3 n 2 12 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n n 10 n n (n - 1) (n - 4) 28671863 n (n - 4) - ---------------------------- + --------------------- 3 n 2 12 n 12 108 (n - 1) (n ) (n - 4) 216 n (n - 4) 6 n 5 n 8 n 62778424 n (n - 4) 21501998 n (n - 4) 51909242 n (n - 4) + -------------------- - -------------------- + -------------------- n 12 n 12 n 12 9 n (n - 4) 3 n (n - 4) 27 n (n - 4) 9 n 4 n 15 n 128518753 n (n - 4) 4272440 n (n - 4) 71 n (n - 4) - --------------------- + ------------------- - ---------------- n 12 n 12 n 12 216 n (n - 4) n (n - 4) 216 n (n - 4) 16 n 14 n 12 n n (n - 4) 2261 n (n - 4) 59147 n (n - 4) + ---------------- + ----------------- + ------------------ n 12 n 12 n 12 216 n (n - 4) 216 n (n - 4) 24 n (n - 4) 11 n 13 n 7 n 1540231 n (n - 4) 42691 n (n - 4) 119147842 n (n - 4) - -------------------- - ------------------ - --------------------- n 12 n 12 n 12 72 n (n - 4) 216 n (n - 4) 27 n (n - 4) 3 n n 6 n 5 n 4 1108800 n (n - 4) 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n - ------------------- + -------------- - -------------- + --------------- n 12 6 n 6 n 6 n n (n - 4) 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n n 3 n 8 n 7 20 (n - 2) n (n - 2) n 5 (n - 2) n - -------------- + ------------- - ------------- 6 n 6 n 6 n (n - 2) n 6 (n - 2) n 2 (n - 2) n 14 n 2 n 13 n 2 n 2101744 n ((n - 1) ) (n - 3) 10685236 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 12679240 n ((n - 1) ) (n - 3) 3322432 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 516224 n ((n - 1) ) (n - 3) 107520 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 9 8 n 3 9 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 30 n ((n - 1) ) (n - 3) 7087 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 2) 2 n (n - 1) (n - 2) - -------------------------- + ----------------------- 5 n 2 6 5 n 2 6 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 41 n (n - 1) (n - 2) 117 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 1623 n (n - 1) (n - 2) 873 n (n - 1) (n - 2) - -------------------------- + ------------------------ 5 n 2 6 5 n 2 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 3401 n (n - 1) (n - 2) 808 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 9 n 3 18 n 2 n 240 n (n - 1) (n - 2) 16 n ((n - 1) ) n ((n - 1) ) (n - 2) - ------------------------ - ----------------- + ------------------------- 5 n 2 6 11 n 3 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) 6 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 13 n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 316 n ((n - 1) ) (n - 2) 2559 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 3369 n ((n - 1) ) (n - 2) 17278 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 18452 n ((n - 1) ) (n - 2) 3712 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n n 960 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - --------------------------- - -------------------------- 8 n 3 6 5 n 2 7 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 3) 15 n n 14 n n 12 n 8 n (n - 1) (n - 3) 75 n (n - 1) (n - 3) n (n - 3) + ------------------------- - ------------------------- + -------------- 5 n 2 7 5 n 2 7 n 9 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 6 n (n - 3) 2 n (n - 3) n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 86458 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 2 n (n - 3) 3 n (n - 3) 3 n (n - 3) 4 n 3 n 15 n 5 21624 n (n - 3) 6720 n (n - 3) 1024 n ((n - 1) ) + ----------------- - ---------------- - -------------------- n 9 n 9 21 n 5 n (n - 3) n (n - 3) (n - 1) (n ) 20 n 2 n 20 n n n ((n - 1) ) (n - 2) n (n - 1) (n - 4) + --------------------------- - --------------------------- 10 n 3 6 5 n 2 10 72 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 4) 19 n n 18 n n 59 n (n - 1) (n - 4) 1577 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 10 5 n 2 10 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 14 n n 13 n n 11578451 n (n - 1) (n - 4) 47936509 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 5 n 2 10 5 n 2 10 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 12 n n 11 n n 37002871 n (n - 1) (n - 4) 42375412 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 10 n n 9 n n 23606948 n (n - 1) (n - 4) 9296454 n (n - 1) (n - 4) - ------------------------------ + ---------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 7328928 n (n - 1) (n - 4) 3444192 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 725760 n (n - 1) (n - 4) 25303 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 16 n n 15 n n 90733 n (n - 1) (n - 4) 692107 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 14 n 3 13 n 3 12 n 3 n ((n - 1) ) 13 n ((n - 1) ) 11 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 11 n 3 11 n 3 11 n 3 6 (n - 1) (n ) 6 (n - 1) (n ) (n - 1) (n ) 11 n 3 10 n 3 10 n 82 n ((n - 1) ) 100 n ((n - 1) ) n (n - 3) - ------------------ + ------------------- + ------------- 11 n 3 11 n 3 n 7 3 (n - 1) (n ) 3 (n - 1) (n ) 6 n (n - 3) 9 n 8 n 7 n 6 n 23 n (n - 3) 217 n (n - 3) 1085 n (n - 3) 1547 n (n - 3) - -------------- + --------------- - ---------------- + ---------------- n 7 n 7 n 7 n 7 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 3 n (n - 3) 5 n 4 n 3 n 2506 n (n - 3) 708 n (n - 3) 240 n (n - 3) - ---------------- + --------------- - --------------- n 7 n 7 n 7 3 n (n - 3) n (n - 3) n (n - 3) 22 n 4 21 n 4 20 n 4 n ((n - 1) ) 29 n ((n - 1) ) 125 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 18 n 4 18 n 4 18 n 4 216 (n - 1) (n ) 216 (n - 1) (n ) 72 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 949 n ((n - 1) ) 1171 n ((n - 1) ) 1963 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 18 n 4 18 n 4 18 n 4 72 (n - 1) (n ) 18 (n - 1) (n ) 9 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 13582 n ((n - 1) ) 21278 n ((n - 1) ) 2408 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 18 n 4 18 n 4 18 n 4 27 (n - 1) (n ) 27 (n - 1) (n ) 3 (n - 1) (n ) 13 n 4 19 n 2 n 480 n ((n - 1) ) 11 n ((n - 1) ) (n - 2) + ------------------- - --------------------------- 18 n 4 10 n 3 6 (n - 1) (n ) 24 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 61 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 8159 n ((n - 1) ) (n - 2) 10745 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 134089 n ((n - 1) ) (n - 2) 43447 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 86909 n ((n - 1) ) (n - 2) 8396 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 4272 n ((n - 1) ) (n - 2) 960 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 14 n n 13 n n 11017 n (n - 1) (n - 3) 185677 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 12 n n 11 n n 554237 n (n - 1) (n - 3) 786662 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 1579292 n (n - 1) (n - 3) 2184034 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 657184 n (n - 1) (n - 3) 115616 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 26880 n (n - 1) (n - 3) - -------------------------- 5 n 2 9 (n - 1) (n ) (n - 3) and in Maple notation -128*n^12*((n-1)^n)^4/(n-1)^18/(n^n)^4-1/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n /(n-2)^6+17/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-115/3*n^10*(n-1)^n/( n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+395/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^ 6-724/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+668/3*n^7*(n-1)^n/(n-1)^3/( n^n)^2*(n-2)^n/(n-2)^6-80*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+305*n^13* (n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-6351/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^7+5523*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-38960/3*n^10*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+61060/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^ n/(n-3)^7-20308*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+11616*n^7*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-2880*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7 +1/12*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8-8/3*n^17*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-2)^n/(n-2)^8+73/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2 )^8-280*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8+5299/4*n^14*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8-4004*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n /(n-2)^8+23168/3*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8-27460/3*n^11* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8+6036*n^10*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-2)^n/(n-2)^8-1680*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^8+20/3*n^ 15*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-347/3*n^14*(n-1)^n/(n-1)^3/(n^n)^2*( n-3)^n/(n-3)^9+1144*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-14259/2*n^12*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+29204*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^9-238528/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+425608/3*n^9*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-475576/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 3)^n/(n-3)^9+99936*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-26880*n^6*(n-1)^ n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-1/6*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3 )^9+58944*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-11520*n^9*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-1/72*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2 )^n/(n-2)^8+41/72*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8-94/9*n^22*( (n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+4079/36*n^21*((n-1)^n)^3/(n-1)^11/( n^n)^4*(n-2)^n/(n-2)^8-6477/8*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8 +96331/24*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8-509533/36*n^18*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+321833/9*n^17*((n-1)^n)^3/(n-1)^11/(n^ n)^4*(n-2)^n/(n-2)^8-577952/9*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8 +719002/9*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8-195868/3*n^14*((n-1 )^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+31424*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4 *(n-2)^n/(n-2)^8-6720*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+123557/ 36*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-251779/12*n^17*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1665505/18*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^9-2681798/9*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-2345/2/ (n^n)*n^11*(n-4)^n/(n-4)^10+38581/4/(n^n)*n^10*(n-4)^n/(n-4)^10-107065/2/(n^n)* n^9*(n-4)^n/(n-4)^10+2449943/12/(n^n)*n^8*(n-4)^n/(n-4)^10-3203525/6/(n^n)*n^7* (n-4)^n/(n-4)^10+936013/(n^n)*n^6*(n-4)^n/(n-4)^10-1044330/(n^n)*n^5*(n-4)^n/(n -4)^10+664488/(n^n)*n^4*(n-4)^n/(n-4)^10-181440/(n^n)*n^3*(n-4)^n/(n-4)^10+1/12 /(n^n)*n^14*(n-4)^n/(n-4)^10-25/6/(n^n)*n^13*(n-4)^n/(n-4)^10+367/4/(n^n)*n^12* (n-4)^n/(n-4)^10-1/12*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^4+11/6*n^19*((n-1)^n)^4/( n-1)^16/(n^n)^4-209/12*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^4+280/3*n^17*((n-1)^n)^4 /(n-1)^16/(n^n)^4-926/3*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^4+1936/3*n^15*((n-1)^n) ^4/(n-1)^16/(n^n)^4-2500/3*n^14*((n-1)^n)^4/(n-1)^16/(n^n)^4+608*n^13*((n-1)^n) ^4/(n-1)^16/(n^n)^4+1/54*n^26*((n-1)^n)^5/(n-1)^21/(n^n)^5-31/54*n^25*((n-1)^n) ^5/(n-1)^21/(n^n)^5+433/54*n^24*((n-1)^n)^5/(n-1)^21/(n^n)^5-1199/18*n^23*((n-1 )^n)^5/(n-1)^21/(n^n)^5+1097/3*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^5-12536/9*n^21*( (n-1)^n)^5/(n-1)^21/(n^n)^5+101440/27*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^5-193768/ 27*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^5+256912/27*n^18*((n-1)^n)^5/(n-1)^21/(n^n)^ 5-25024/3*n^17*((n-1)^n)^5/(n-1)^21/(n^n)^5+4352*n^16*((n-1)^n)^5/(n-1)^21/(n^n )^5+1/216/(n^n)*n^18*(n-5)^n/(n-5)^13-29/72/(n^n)*n^17*(n-5)^n/(n-5)^13-27425/ 72/(n^n)*n^15*(n-5)^n/(n-5)^13+1323907/216/(n^n)*n^14*(n-5)^n/(n-5)^13-5062343/ 72/(n^n)*n^13*(n-5)^n/(n-5)^13+128154455/216/(n^n)*n^12*(n-5)^n/(n-5)^13-\ 269687275/72/(n^n)*n^11*(n-5)^n/(n-5)^13+3445/216/(n^n)*n^16*(n-5)^n/(n-5)^13+ 480977926/27/(n^n)*n^10*(n-5)^n/(n-5)^13+453768024/(n^n)*n^6*(n-5)^n/(n-5)^13-\ 413499808/(n^n)*n^5*(n-5)^n/(n-5)^13+4586344360/27/(n^n)*n^8*(n-5)^n/(n-5)^13-\ 573602744/9/(n^n)*n^9*(n-5)^n/(n-5)^13+222817920/(n^n)*n^4*(n-5)^n/(n-5)^13-\ 2975326250/9/(n^n)*n^7*(n-5)^n/(n-5)^13-53222400/(n^n)*n^3*(n-5)^n/(n-5)^13-1/ 216*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+11/72*n^23*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-2)^n/(n-2)^4+1/216*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/( n-3)^11-61/216*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11+277/36*n^20*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-13369/108*n^19*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^11+282953/216*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-\ 3)^11-692351/72*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11+1358467/27*n^ 16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-10249481/54*n^15*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^11+4642924/9*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3) ^n/(n-3)^11-26924942/27*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11+ 35964944/27*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-3490904/3*n^11*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11+1785760/3*n^10*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^11-134400*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11 -192*n^12*((n-1)^n)^4/(n-1)^16/(n^n)^4-247/108*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^ 4*(n-2)^n/(n-2)^4+739/36*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-8855 /72*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+4143/8*n^19*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+54494/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2) ^n/(n-2)^4-4456*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+1952*n^13*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-384*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-2)^n/(n-2)^4-84815/54*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+ 31091/9*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-147530/27*n^16*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-1/36*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*( n-2)^n/(n-2)^6+35/36*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-277/18*n ^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+2621/18*n^21*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-2)^n/(n-2)^6-11003/12*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/ (n-2)^6+48553/12*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-115397/9*n^ 18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+264430/9*n^17*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-2)^n/(n-2)^6-434500/9*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/ (n-2)^6+498764/9*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-42128*n^14*( (n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+19008*n^13*((n-1)^n)^3/(n-1)^13/(n^ n)^4*(n-2)^n/(n-2)^6-3840*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+1/ 72*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-41/72*n^21*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-3)^n/(n-3)^7+191/18*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^7-4283/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+21487/24*n^18 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-114571/24*n^17*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^7+667771/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^7-478406/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+1010540/9*n^ 14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-1552882/9*n^13*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^7+561956/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n /(n-3)^7-135888*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+185862479/108 *n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+380125684/9*n^9*(n-1)^n/(n-1)^3/ (n^n)^2*(n-4)^n/(n-4)^12-111642632/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 12+445932652/27*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-112051907/18*n^12 *(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+19307360*n^7*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^12-89/4*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+73/108*n^19 *(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+47213/108*n^17*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-4)^n/(n-4)^12+1895113/36*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-\ 37913249/108*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-617705/108*n^16*(n-1 )^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-853261912/27*n^10*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^12-4435200*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-1/108*n^ 20*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+28671863/216/(n^n)*n^10*(n-4)^n/(n-\ 4)^12+62778424/9/(n^n)*n^6*(n-4)^n/(n-4)^12-21501998/3/(n^n)*n^5*(n-4)^n/(n-4)^ 12+51909242/27/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/216/(n^n)*n^9*(n-4)^n/(n-4) ^12+4272440/(n^n)*n^4*(n-4)^n/(n-4)^12-71/216/(n^n)*n^15*(n-4)^n/(n-4)^12+1/216 /(n^n)*n^16*(n-4)^n/(n-4)^12+2261/216/(n^n)*n^14*(n-4)^n/(n-4)^12+59147/24/(n^n )*n^12*(n-4)^n/(n-4)^12-1540231/72/(n^n)*n^11*(n-4)^n/(n-4)^12-42691/216/(n^n)* n^13*(n-4)^n/(n-4)^12-119147842/27/(n^n)*n^7*(n-4)^n/(n-4)^12-1108800/(n^n)*n^3 *(n-4)^n/(n-4)^12+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5 +137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2) ^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7+2101744/3*n^14*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^9-10685236/9*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^9+12679240/9*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-3322432/3*n^11* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+516224*n^10*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^9-107520*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1/ 36*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-49/36*n^21*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^9+30*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9 -7087/18*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-1/12*n^14*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-2)^n/(n-2)^6+2*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-41/ 2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+117*n^11*(n-1)^n/(n-1)^5/(n^n)^2 *(n-2)^n/(n-2)^6-1623/4*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+873*n^9*(n -1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-3401/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^ n/(n-2)^6+808*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-240*n^6*(n-1)^n/(n-1) ^5/(n^n)^2*(n-2)^n/(n-2)^6-16*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3+1/6*n^18*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-13/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^6+49*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-316*n^15*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+2559/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^6-3369*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+17278/3*n^ 12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-18452/3*n^11*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-2)^n/(n-2)^6+3712*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-\ 960*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1/12*n^16*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^7+8/3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-75/2*n^ 14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+1/12/(n^n)*n^12*(n-3)^n/(n-3)^9-19/6 /(n^n)*n^11*(n-3)^n/(n-3)^9+103/2/(n^n)*n^10*(n-3)^n/(n-3)^9-469/(n^n)*n^9*(n-3 )^n/(n-3)^9+10507/4/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/2/(n^n)*n^7*(n-3)^n/(n-3)^9 +63173/3/(n^n)*n^6*(n-3)^n/(n-3)^9-86458/3/(n^n)*n^5*(n-3)^n/(n-3)^9+21624/(n^n )*n^4*(n-3)^n/(n-3)^9-6720/(n^n)*n^3*(n-3)^n/(n-3)^9-1024*n^15*((n-1)^n)^5/(n-1 )^21/(n^n)^5+1/72*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/72*n^20*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+59/72*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^10-1577/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-11578451/72* n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+47936509/72*n^13*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^10-37002871/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^10+42375412/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-23606948/3*n^10*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+9296454*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^10-7328928*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+3444192*n^7*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-725760*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^10+25303/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-90733/24*n^ 16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+692107/24*n^15*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^10+1/6*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-13/6*n^13*((n-1)^n)^ 3/(n-1)^11/(n^n)^3+11*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-82/3*n^11*((n-1)^n)^3/( n-1)^11/(n^n)^3+100/3*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+1/6/(n^n)*n^10*(n-3)^n/ (n-3)^7-23/6/(n^n)*n^9*(n-3)^n/(n-3)^7+217/6/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/6/( n^n)*n^7*(n-3)^n/(n-3)^7+1547/3/(n^n)*n^6*(n-3)^n/(n-3)^7-2506/3/(n^n)*n^5*(n-3 )^n/(n-3)^7+708/(n^n)*n^4*(n-3)^n/(n-3)^7-240/(n^n)*n^3*(n-3)^n/(n-3)^7-1/216*n ^22*((n-1)^n)^4/(n-1)^18/(n^n)^4+29/216*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-125/ 72*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^4+949/72*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^4-\ 1171/18*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+1963/9*n^17*((n-1)^n)^4/(n-1)^18/(n^n )^4-13582/27*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+21278/27*n^15*((n-1)^n)^4/(n-1)^ 18/(n^n)^4-2408/3*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+480*n^13*((n-1)^n)^4/(n-1)^ 18/(n^n)^4-11/24*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+61/9*n^18*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/4*n^17*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-2)^n/(n-2)^6+8159/24*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 10745/8*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/36*n^14*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43447/6*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^6+86909/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 8396*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+4272*n^10*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-2)^n/(n-2)^6-960*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-\ 2)^6-1/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/72*n^17*(n-1)^n/(n-1) ^5/(n^n)^2*(n-3)^n/(n-3)^9-493/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+ 6101/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11017/8*n^14*(n-1)^n/(n-1) ^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^9-554237/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+786662/9*n^11*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1579292/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^9+2184034/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-657184/3*n^8*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+115616*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^9-26880*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 The, 2, 4, mixed moment of, X[2], and , X[4], is 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 25 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 15 n 4 7 15 n 4 7 324 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 26 n 3 n 22 n 3 n 1159 n ((n - 1) ) (n - 3) 6310529 n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 324 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 6582682 n ((n - 1) ) (n - 3) 21375689 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 54185848 n ((n - 1) ) (n - 3) 106835180 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 162047392 n ((n - 1) ) (n - 3) 6862160 n ((n - 1) ) (n - 3) + ---------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 17141504 n ((n - 1) ) (n - 3) 3265024 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 380928 n ((n - 1) ) (n - 3) 61440 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 15 n 4 7 15 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 2) 25 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 16 n 5 8 16 n 5 8 216 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 1147 n ((n - 1) ) (n - 2) 2002 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 16 n 5 8 16 n 5 8 216 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 152251 n ((n - 1) ) (n - 2) 521893 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 16 n 5 8 16 n 5 8 216 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 5331413 n ((n - 1) ) (n - 2) 5164777 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 16 n 5 8 16 n 5 8 216 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 24 n n 23 n n n (n - 1) (n - 5) 8 n (n - 1) (n - 5) - ---------------------------- + --------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 22 n n 21 n n 709 n (n - 1) (n - 5) 19261 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 13 5 n 2 13 54 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 20 n n 18 n n 59890 n (n - 1) (n - 5) 150616949 n (n - 1) (n - 5) - --------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 5) 17 n n 16 n n 398181407 n (n - 1) (n - 5) 4941961453 n (n - 1) (n - 5) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 54 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 15 n n 14 n n 12084698483 n (n - 1) (n - 5) 864351358 n (n - 1) (n - 5) + --------------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 54 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n n 13 n n 4887337 n (n - 1) (n - 5) 70991708164 n (n - 1) (n - 5) + ----------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 54 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 9 n n 8 n n 47400022528 n (n - 1) (n - 5) 10797508608 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 103017297064 n (n - 1) (n - 5) 506259792652 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 7 n n 10 n n 4487608320 n (n - 1) (n - 5) 142058928896 n (n - 1) (n - 5) + ------------------------------- - ---------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 6 n n 26 n 2 n 851558400 n (n - 1) (n - 5) n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 5 n 2 13 6 n 3 14 (n - 1) (n ) (n - 5) 1296 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 1145 n ((n - 1) ) (n - 4) 31861 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 3 14 6 n 3 14 324 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 8209747 n ((n - 1) ) (n - 4) 6945731 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 14 6 n 3 14 324 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 19 n 2 n 643355999 n ((n - 1) ) (n - 4) - ---------------------------------- 6 n 3 14 324 (n - 1) (n ) (n - 4) 18 n 2 n 15274553437 n ((n - 1) ) (n - 4) + ------------------------------------ 6 n 3 14 1296 (n - 1) (n ) (n - 4) 17 n 2 n 22 n 2 n 4378296494 n ((n - 1) ) (n - 4) 1205125 n ((n - 1) ) (n - 4) - ----------------------------------- + -------------------------------- 6 n 3 14 6 n 3 14 81 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 16 n 2 n 62014756141 n ((n - 1) ) (n - 4) + ------------------------------------ 6 n 3 14 324 (n - 1) (n ) (n - 4) 12 n 2 n 5342387924 n ((n - 1) ) (n - 4) + ----------------------------------- 6 n 3 14 3 (n - 1) (n ) (n - 4) 11 n 2 n 3926975072 n ((n - 1) ) (n - 4) - ----------------------------------- 6 n 3 14 3 (n - 1) (n ) (n - 4) 14 n 2 n 86674476347 n ((n - 1) ) (n - 4) + ------------------------------------ 6 n 3 14 81 (n - 1) (n ) (n - 4) 15 n 2 n 42120216866 n ((n - 1) ) (n - 4) - ------------------------------------ 6 n 3 14 81 (n - 1) (n ) (n - 4) 10 n 2 n 578128960 n ((n - 1) ) (n - 4) + ---------------------------------- 6 n 3 14 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 44065487296 n ((n - 1) ) (n - 4) 115315200 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 6 n 3 14 6 n 3 14 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 25 n 2 n 27 n 4 n 25 n ((n - 1) ) (n - 4) 1627 n ((n - 1) ) (n - 2) - ---------------------------- - ----------------------------- 6 n 3 14 20 n 5 4 324 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 80107 n ((n - 1) ) (n - 2) 79681 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 20 n 5 4 20 n 5 4 1296 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 20 n 5 4 20 n 5 4 1296 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 28 n 4 n 24 n 4 n 817 n ((n - 1) ) (n - 2) 2143115 n ((n - 1) ) (n - 2) + ----------------------------- + -------------------------------- 20 n 5 4 20 n 5 4 1296 (n - 1) (n ) (n - 2) 1296 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 1224245 n ((n - 1) ) (n - 2) 2425165 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 20 n 5 4 20 n 5 4 216 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 418688 n ((n - 1) ) (n - 2) 80576 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 20 n 5 4 20 n 5 4 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 9472 n ((n - 1) ) (n - 2) 1536 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 20 n 5 4 20 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 822355 n ((n - 1) ) (n - 2) 3832991 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 20 n 5 4 20 n 5 4 27 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 19 n 4 n 30 n 4 n 1487794 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - -------------------------------- + ---------------------------- 20 n 5 4 18 n 5 6 27 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 29 n 4 n 27 n 4 n 22 n ((n - 1) ) (n - 2) 5581 n ((n - 1) ) (n - 2) - --------------------------- - ----------------------------- 18 n 5 6 18 n 5 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 95431 n ((n - 1) ) (n - 2) 296164 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 18 n 5 6 18 n 5 6 162 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 2756561 n ((n - 1) ) (n - 2) 4895681 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 18 n 5 6 18 n 5 6 162 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 28 n 4 n 22 n 4 n 895 n ((n - 1) ) (n - 2) 13377292 n ((n - 1) ) (n - 2) + ---------------------------- + --------------------------------- 18 n 5 6 18 n 5 6 162 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 15601664 n ((n - 1) ) (n - 2) 1026560 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 18 n 5 6 18 n 5 6 27 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 4 n 21 n 4 n 45022696 n ((n - 1) ) (n - 2) 28107944 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 18 n 5 6 18 n 5 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 370688 n ((n - 1) ) (n - 2) 53958608 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 18 n 5 6 18 n 5 6 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 15 n 4 n 25 n 3 n 20480 n ((n - 1) ) (n - 2) 4133 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 18 n 5 6 15 n 4 7 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 162403 n ((n - 1) ) (n - 3) 582457 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 15 n 4 7 15 n 4 7 324 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 26 n 3 n 17 n 3 n n ((n - 1) ) (n - 2) 2778883304 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------------- 15 n 4 6 11 n 4 11 324 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 3) 16 n 3 n 3760244432 n ((n - 1) ) (n - 3) - ----------------------------------- 11 n 4 11 81 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 1218870368 n ((n - 1) ) (n - 3) 267680512 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 11 n 4 11 11 n 4 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 35560960 n ((n - 1) ) (n - 3) 2150400 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 11 n 4 11 11 n 4 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 20703710054 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 12 81 (n - 1) (n ) (n - 4) 12 n 2 n 1439626272 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 2870098432 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 12 3 (n - 1) (n ) (n - 4) 14 n 2 n 88310741032 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 12 81 (n - 1) (n ) (n - 4) 15 n 2 n 48895703728 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 12 81 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 385794560 n ((n - 1) ) (n - 4) 6264947 n ((n - 1) ) (n - 4) + ---------------------------------- - -------------------------------- 8 n 3 12 8 n 3 12 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 553426 n ((n - 1) ) (n - 4) 17712457 n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------------- 8 n 3 12 8 n 3 12 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 18 n 2 n 3467266363 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 162 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 6788438008 n ((n - 1) ) (n - 4) 344862727 n ((n - 1) ) (n - 4) - ----------------------------------- - ---------------------------------- 8 n 3 12 8 n 3 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 39794960768 n ((n - 1) ) (n - 4) 70963200 n ((n - 1) ) (n - 4) - ------------------------------------ - -------------------------------- 8 n 3 12 8 n 3 12 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n n (n - 1) (n - 2) 17 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 115 n (n - 1) (n - 2) 395 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 724 n (n - 1) (n - 2) 668 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 28 n 5 27 n 5 80 n (n - 1) (n - 2) n ((n - 1) ) 19 n ((n - 1) ) - ----------------------- + -------------------- - ------------------- 3 n 2 6 23 n 5 23 n 5 (n - 1) (n ) (n - 2) 1296 (n - 1) (n ) 648 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 331 n ((n - 1) ) 875 n ((n - 1) ) 5569 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 23 n 5 23 n 5 23 n 5 648 (n - 1) (n ) 162 (n - 1) (n ) 144 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 42767 n ((n - 1) ) 120793 n ((n - 1) ) 169393 n ((n - 1) ) - --------------------- + ---------------------- - ---------------------- 23 n 5 23 n 5 23 n 5 216 (n - 1) (n ) 162 (n - 1) (n ) 81 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 353821 n ((n - 1) ) 543602 n ((n - 1) ) 199040 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 23 n 5 23 n 5 23 n 5 81 (n - 1) (n ) 81 (n - 1) (n ) 27 (n - 1) (n ) 17 n 5 16 n 5 16448 n ((n - 1) ) 7424 n ((n - 1) ) - --------------------- + -------------------- 23 n 5 23 n 5 3 (n - 1) (n ) 3 (n - 1) (n ) 13 n n 12 n n 1220 n (n - 1) (n - 3) 2117 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 7364 n (n - 1) (n - 3) 155840 n (n - 1) (n - 3) + -------------------------- - ---------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 244240 n (n - 1) (n - 3) 81232 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 15488 n (n - 1) (n - 3) 3840 n (n - 1) (n - 3) + -------------------------- - ------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 7 n ((n - 1) ) (n - 2) 56 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 6 n 3 8 6 n 3 8 36 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 511 n ((n - 1) ) (n - 2) 1960 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 6 n 3 8 6 n 3 8 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 37093 n ((n - 1) ) (n - 2) 28028 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 6 n 3 8 6 n 3 8 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 162176 n ((n - 1) ) (n - 2) 192220 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 6 n 3 8 6 n 3 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 14084 n ((n - 1) ) (n - 2) 3920 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 6 n 3 8 6 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n 140 n (n - 1) (n - 3) 2429 n (n - 1) (n - 3) + ------------------------- - -------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n n 12 n n 8008 n (n - 1) (n - 3) 33271 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 204428 n (n - 1) (n - 3) 1669696 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 2979256 n (n - 1) (n - 3) 3329032 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 7 n n 6 n n 233184 n (n - 1) (n - 3) 62720 n (n - 1) (n - 3) + --------------------------- - -------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 10 n 2 n 7 n (n - 1) (n - 3) 117888 n ((n - 1) ) (n - 3) - -------------------------- + ------------------------------- 3 n 2 9 10 n 3 7 18 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 24 n 3 n 23040 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ----------------------------- - --------------------------- 10 n 3 7 11 n 4 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 41 n ((n - 1) ) (n - 2) 376 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 4 8 11 n 4 8 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 4079 n ((n - 1) ) (n - 2) 6477 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 11 n 4 8 11 n 4 8 9 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 96331 n ((n - 1) ) (n - 2) 509533 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 11 n 4 8 11 n 4 8 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 1287332 n ((n - 1) ) (n - 2) 2311808 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 11 n 4 8 11 n 4 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2876008 n ((n - 1) ) (n - 2) 783472 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 11 n 4 8 11 n 4 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 125696 n ((n - 1) ) (n - 2) 26880 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 11 n 4 8 11 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 123557 n ((n - 1) ) (n - 3) 251779 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 3331010 n ((n - 1) ) (n - 3) 10727192 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n 10 n 9 n 16415 n (n - 4) 270067 n (n - 4) 749455 n (n - 4) - ------------------ + ------------------- - ------------------ n 10 n 10 n 10 6 n (n - 4) 12 n (n - 4) 6 n (n - 4) 8 n 7 n 6 n 17149601 n (n - 4) 22424675 n (n - 4) 6552091 n (n - 4) + -------------------- - -------------------- + ------------------- n 10 n 10 n 10 36 n (n - 4) 18 n (n - 4) 3 n (n - 4) 5 n 4 n 3 n 2436770 n (n - 4) 1550472 n (n - 4) 423360 n (n - 4) - ------------------- + ------------------- - ------------------ n 10 n 10 n 10 n (n - 4) n (n - 4) n (n - 4) 14 n 13 n 12 n 7 n (n - 4) 175 n (n - 4) 2569 n (n - 4) + --------------- - ---------------- + ----------------- n 10 n 10 n 10 36 n (n - 4) 18 n (n - 4) 12 n (n - 4) 20 n 4 19 n 4 18 n 4 n ((n - 1) ) 22 n ((n - 1) ) 209 n ((n - 1) ) - ----------------- + ------------------ - ------------------- 16 n 4 16 n 4 16 n 4 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 1120 n ((n - 1) ) 3704 n ((n - 1) ) 7744 n ((n - 1) ) + -------------------- - -------------------- + -------------------- 16 n 4 16 n 4 16 n 4 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 14 n 4 13 n 4 26 n 5 10000 n ((n - 1) ) 2432 n ((n - 1) ) n ((n - 1) ) - --------------------- + -------------------- + ------------------ 16 n 4 16 n 4 21 n 5 9 (n - 1) (n ) 3 (n - 1) (n ) 36 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 31 n ((n - 1) ) 433 n ((n - 1) ) 1199 n ((n - 1) ) - ------------------ + ------------------- - -------------------- 21 n 5 21 n 5 21 n 5 36 (n - 1) (n ) 36 (n - 1) (n ) 12 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 1097 n ((n - 1) ) 6268 n ((n - 1) ) 50720 n ((n - 1) ) + -------------------- - -------------------- + --------------------- 21 n 5 21 n 5 21 n 5 2 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 96884 n ((n - 1) ) 128456 n ((n - 1) ) 12512 n ((n - 1) ) - --------------------- + ---------------------- - --------------------- 21 n 5 21 n 5 21 n 5 9 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 16 n 5 18 n 17 n 6528 n ((n - 1) ) n (n - 5) 29 n (n - 5) + -------------------- + --------------- - --------------- 21 n 5 n 13 n 13 (n - 1) (n ) 36 n (n - 5) 12 n (n - 5) 15 n 14 n 13 n 27425 n (n - 5) 1323907 n (n - 5) 5062343 n (n - 5) - ------------------ + -------------------- - -------------------- n 13 n 13 n 13 12 n (n - 5) 36 n (n - 5) 12 n (n - 5) 12 n 11 n 16 n 128154455 n (n - 5) 269687275 n (n - 5) 3445 n (n - 5) + ---------------------- - ---------------------- + ----------------- n 13 n 13 n 13 36 n (n - 5) 12 n (n - 5) 36 n (n - 5) 10 n 6 n 5 n 961955852 n (n - 5) 2722608144 n (n - 5) 2480998848 n (n - 5) + ---------------------- + ---------------------- - ---------------------- n 13 n 13 n 13 9 n (n - 5) n (n - 5) n (n - 5) 8 n 9 n 4 n 9172688720 n (n - 5) 1147205488 n (n - 5) 1336907520 n (n - 5) + ---------------------- - ---------------------- + ---------------------- n 13 n 13 n 13 9 n (n - 5) 3 n (n - 5) n (n - 5) 7 n 3 n 32 n 6 5950652500 n (n - 5) 319334400 n (n - 5) 5 n ((n - 1) ) - ---------------------- - --------------------- - -------------------- n 13 n 13 26 n 6 3 n (n - 5) n (n - 5) 1296 (n - 1) (n ) 31 n 6 30 n 6 29 n 6 25 n ((n - 1) ) 205 n ((n - 1) ) 10405 n ((n - 1) ) + ------------------- - ------------------- + --------------------- 26 n 6 26 n 6 26 n 6 162 (n - 1) (n ) 72 (n - 1) (n ) 324 (n - 1) (n ) 28 n 6 27 n 6 320605 n ((n - 1) ) 148685 n ((n - 1) ) - ---------------------- + ---------------------- 26 n 6 26 n 6 1296 (n - 1) (n ) 108 (n - 1) (n ) 26 n 6 25 n 6 1849435 n ((n - 1) ) 1450930 n ((n - 1) ) - ----------------------- + ----------------------- 26 n 6 26 n 6 324 (n - 1) (n ) 81 (n - 1) (n ) 24 n 6 23 n 6 1154345 n ((n - 1) ) 6256220 n ((n - 1) ) - ----------------------- + ----------------------- 26 n 6 26 n 6 27 (n - 1) (n ) 81 (n - 1) (n ) 22 n 6 21 n 6 8421620 n ((n - 1) ) 2730560 n ((n - 1) ) - ----------------------- + ----------------------- 26 n 6 26 n 6 81 (n - 1) (n ) 27 (n - 1) (n ) 20 n 6 19 n 6 67200 n ((n - 1) ) 81920 n ((n - 1) ) - --------------------- + --------------------- 26 n 6 26 n 6 (n - 1) (n ) 3 (n - 1) (n ) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 61 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 6 n 3 11 6 n 3 11 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 277 n ((n - 1) ) (n - 3) 13369 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 6 n 3 11 6 n 3 11 6 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 282953 n ((n - 1) ) (n - 3) 692351 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 6 n 3 11 6 n 3 11 36 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 2716934 n ((n - 1) ) (n - 3) 10249481 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 6 n 3 11 6 n 3 11 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 9285848 n ((n - 1) ) (n - 3) 53849884 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 6 n 3 11 6 n 3 11 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 71929888 n ((n - 1) ) (n - 3) 6981808 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 6 n 3 11 6 n 3 11 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 3571520 n ((n - 1) ) (n - 3) 806400 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 6 n 3 11 6 n 3 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 4 24 n 3 n 256 n ((n - 1) ) n ((n - 1) ) (n - 2) - ------------------- - --------------------------- 16 n 4 13 n 4 6 (n - 1) (n ) 18 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 35 n ((n - 1) ) (n - 2) 277 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 13 n 4 6 13 n 4 6 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 2621 n ((n - 1) ) (n - 2) 11003 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 48553 n ((n - 1) ) (n - 2) 230794 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 13 n 4 6 13 n 4 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 528860 n ((n - 1) ) (n - 2) 869000 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 997528 n ((n - 1) ) (n - 2) 84256 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 38016 n ((n - 1) ) (n - 2) 7680 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 4 6 13 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 41 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 7 10 n 3 7 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 191 n ((n - 1) ) (n - 3) 4283 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 21487 n ((n - 1) ) (n - 3) 114571 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 10 n 3 7 10 n 3 7 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 667771 n ((n - 1) ) (n - 3) 956812 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 2021080 n ((n - 1) ) (n - 3) 3105764 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1123912 n ((n - 1) ) (n - 3) 271776 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 9 n n 185862479 n (n - 1) (n - 4) 760251368 n (n - 1) (n - 4) + ------------------------------- + ------------------------------ 3 n 2 12 3 n 2 12 18 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 223285264 n (n - 1) (n - 4) 891865304 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n n 7 n n 112051907 n (n - 1) (n - 4) 115844160 n (n - 1) (n - 4) - ------------------------------- + ------------------------------ 3 n 2 12 3 n 2 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 267 n (n - 1) (n - 4) 73 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 12 3 n 2 12 2 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 17 n n 15 n n 47213 n (n - 1) (n - 4) 1895113 n (n - 1) (n - 4) + --------------------------- + ----------------------------- 3 n 2 12 3 n 2 12 18 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n n 16 n n 37913249 n (n - 1) (n - 4) 617705 n (n - 1) (n - 4) - ------------------------------ - ---------------------------- 3 n 2 12 3 n 2 12 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 10 n n 6 n n 1706523824 n (n - 1) (n - 4) 26611200 n (n - 1) (n - 4) - -------------------------------- - ----------------------------- 3 n 2 12 3 n 2 12 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n n 21 n 22 n n (n - 1) (n - 4) 67 n (n - 6) n (n - 6) - --------------------------- - ---------------- + ----------------- 3 n 2 12 n 16 n 16 18 (n - 1) (n ) (n - 4) 648 n (n - 6) 1296 n (n - 6) 20 n 19 n 18 n 2777 n (n - 6) 5911 n (n - 6) 1407167 n (n - 6) + ----------------- - ----------------- + -------------------- n 16 n 16 n 16 432 n (n - 6) 24 n (n - 6) 216 n (n - 6) 17 n 15 n 13640609 n (n - 6) 6889842557 n (n - 6) - --------------------- - ----------------------- n 16 n 16 108 n (n - 6) 324 n (n - 6) 14 n 13 n 82706226551 n (n - 6) 32828414333 n (n - 6) + ------------------------ - ------------------------ n 16 n 16 432 n (n - 6) 24 n (n - 6) 12 n 11 n 3361024485221 n (n - 6) 7601560019027 n (n - 6) + -------------------------- - -------------------------- n 16 n 16 432 n (n - 6) 216 n (n - 6) 16 n 10 n 1205105411 n (n - 6) 10200408258499 n (n - 6) + ----------------------- + --------------------------- n 16 n 16 648 n (n - 6) 81 n (n - 6) 6 n 5 n 4358248637480 n (n - 6) 1158159024800 n (n - 6) + ------------------------- - ------------------------- n 16 n 16 3 n (n - 6) n (n - 6) 8 n 9 n 20577441930233 n (n - 6) 28585837173611 n (n - 6) + -------------------------- - -------------------------- n 16 n 16 27 n (n - 6) 81 n (n - 6) 4 n 7 n 557161584000 n (n - 6) 11134888520114 n (n - 6) + ------------------------ - -------------------------- n 16 n 16 n (n - 6) 9 n (n - 6) 3 n 10 n 6 n 121080960000 n (n - 6) 28671863 n (n - 4) 125556848 n (n - 4) - ------------------------ + --------------------- + --------------------- n 16 n 12 n 12 n (n - 6) 36 n (n - 4) 3 n (n - 4) 5 n 8 n 9 n 43003996 n (n - 4) 103818484 n (n - 4) 128518753 n (n - 4) - -------------------- + --------------------- - --------------------- n 12 n 12 n 12 n (n - 4) 9 n (n - 4) 36 n (n - 4) 4 n 15 n 16 n 25634640 n (n - 4) 71 n (n - 4) n (n - 4) + -------------------- - --------------- + --------------- n 12 n 12 n 12 n (n - 4) 36 n (n - 4) 36 n (n - 4) 14 n 12 n 11 n 2261 n (n - 4) 59147 n (n - 4) 1540231 n (n - 4) + ----------------- + ------------------ - -------------------- n 12 n 12 n 12 36 n (n - 4) 4 n (n - 4) 12 n (n - 4) 13 n 7 n 3 n 42691 n (n - 4) 238295684 n (n - 4) 6652800 n (n - 4) - ------------------ - --------------------- - ------------------- n 12 n 12 n 12 36 n (n - 4) 9 n (n - 4) n (n - 4) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 18 n 6 (n - 2) n 5 (n - 2) n 5120 n ((n - 1) ) + ------------- - ------------- - -------------------- 6 n 6 n 26 n 6 6 (n - 2) n 2 (n - 2) n (n - 1) (n ) 14 n 2 n 13 n 2 n 8406976 n ((n - 1) ) (n - 3) 42740944 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 50716960 n ((n - 1) ) (n - 3) 13289728 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 2064896 n ((n - 1) ) (n - 3) 430080 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 120 n ((n - 1) ) (n - 3) 14174 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 2) 8 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n n 11 n n 82 n (n - 1) (n - 2) 156 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 541 n (n - 1) (n - 2) 1164 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 13604 n (n - 1) (n - 2) 3232 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 6 5 n 2 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 24 n 3 n 320 n (n - 1) (n - 2) 811 n ((n - 1) ) (n - 2) - ------------------------ - ---------------------------- 5 n 2 6 15 n 4 6 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 265 n ((n - 1) ) (n - 2) 76351 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 73271 n ((n - 1) ) (n - 2) 1877309 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 54 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 25 n 3 n 19 n 3 n 7 n ((n - 1) ) (n - 2) 503062 n ((n - 1) ) (n - 2) + --------------------------- + ------------------------------- 15 n 4 6 15 n 4 6 54 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2936768 n ((n - 1) ) (n - 2) 214144 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 15 n 4 6 15 n 4 6 27 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 745936 n ((n - 1) ) (n - 2) 3670274 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 84992 n ((n - 1) ) (n - 2) 9084500 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 12 n 3 n 13 n n 5120 n ((n - 1) ) (n - 2) 4360130225 n (n - 1) (n - 4) - ----------------------------- + -------------------------------- 15 n 4 6 5 n 2 12 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 4) 9 n n 8 n n 786641080 n (n - 1) (n - 4) 586157248 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n n 12 n n 12464402260 n (n - 1) (n - 4) 5991724802 n (n - 1) (n - 4) + --------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 7 n n 18 n n 87578240 n (n - 1) (n - 4) 244258 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 19 n n 17 n n 32455 n (n - 1) (n - 4) 5287915 n (n - 1) (n - 4) + ---------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 15 n n 14 n n 259739645 n (n - 1) (n - 4) 2428307783 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 16 n n 10 n n 42561541 n (n - 1) (n - 4) 6408855332 n (n - 1) (n - 4) - ------------------------------ - -------------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 6 n n 21 n n 17740800 n (n - 1) (n - 4) 20 n (n - 1) (n - 4) - ----------------------------- + --------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 20 n n 22 n n 1463 n (n - 1) (n - 4) n (n - 1) (n - 4) - ---------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 20 n 19 n 18 n n (n - 5) 19 n (n - 5) 83 n (n - 5) + ----------------- - ---------------- + --------------- n 15 n 15 n 15 1296 n (n - 5) 216 n (n - 5) 18 n (n - 5) 17 n 15 n 14 n 5309 n (n - 5) 305123 n (n - 5) 48697207 n (n - 5) - ----------------- - ------------------- + --------------------- n 15 n 15 n 15 36 n (n - 5) 6 n (n - 5) 81 n (n - 5) 13 n 12 n 586105949 n (n - 5) 605143253 n (n - 5) - ---------------------- + ---------------------- n 15 n 15 108 n (n - 5) 16 n (n - 5) 11 n 16 n 14717052779 n (n - 5) 695387 n (n - 5) - ------------------------ + ------------------- n 15 n 15 72 n (n - 5) 216 n (n - 5) 10 n 6 n 23097691526 n (n - 5) 15662182184 n (n - 5) + ------------------------ + ----------------------- n 15 n 15 27 n (n - 5) n (n - 5) 5 n 8 n 40663135648 n (n - 5) 543983918209 n (n - 5) - ----------------------- + ------------------------ n 15 n 15 3 n (n - 5) 81 n (n - 5) 9 n 4 n 8258229161 n (n - 5) 6998311040 n (n - 5) - ---------------------- + ---------------------- n 15 n 15 3 n (n - 5) n (n - 5) 7 n 3 n 9 n 3 327748252802 n (n - 5) 1614412800 n (n - 5) 16 n ((n - 1) ) - ------------------------ - ---------------------- - ----------------- n 15 n 15 11 n 3 27 n (n - 5) n (n - 5) (n - 1) (n ) 18 n 2 n 17 n 2 n 2 n ((n - 1) ) (n - 2) 52 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 196 n ((n - 1) ) (n - 2) 1264 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1706 n ((n - 1) ) (n - 2) 4492 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 69112 n ((n - 1) ) (n - 2) 73808 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 14848 n ((n - 1) ) (n - 2) 1280 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n n (n - 1) (n - 3) 32 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n n 12 n 11 n 50 n (n - 1) (n - 3) 7 n (n - 3) 133 n (n - 3) - ------------------------ + -------------- - ---------------- 5 n 2 7 n 9 n 9 (n - 1) (n ) (n - 3) 36 n (n - 3) 18 n (n - 3) 10 n 9 n 8 n 721 n (n - 3) 3283 n (n - 3) 73549 n (n - 3) + ---------------- - ---------------- + ----------------- n 9 n 9 n 9 6 n (n - 3) 3 n (n - 3) 12 n (n - 3) 7 n 6 n 5 n 130879 n (n - 3) 442211 n (n - 3) 605206 n (n - 3) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 6 n (n - 3) 9 n (n - 3) 9 n (n - 3) 4 n 3 n 15 n n 50456 n (n - 3) 15680 n (n - 3) 5040835514 n (n - 1) (n - 5) + ----------------- - ----------------- + -------------------------------- n 9 n 9 3 n 2 15 n (n - 3) n (n - 3) 9 (n - 1) (n ) (n - 5) 14 n n 19 n n 136541924441 n (n - 1) (n - 5) 6187601 n (n - 1) (n - 5) - ---------------------------------- + ----------------------------- 3 n 2 15 3 n 2 15 54 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 13 n n 9 n n 241038891002 n (n - 1) (n - 5) 269272457504 n (n - 1) (n - 5) + ---------------------------------- + --------------------------------- 3 n 2 15 3 n 2 15 27 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 11 n n 204642408832 n (n - 1) (n - 5) 4142425189648 n (n - 1) (n - 5) - --------------------------------- + ----------------------------------- 3 n 2 15 3 n 2 15 3 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 12 n n 7 n n 1979856585806 n (n - 1) (n - 5) 31222069760 n (n - 1) (n - 5) - ----------------------------------- + -------------------------------- 3 n 2 15 3 n 2 15 81 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 2156750849144 n (n - 1) (n - 5) 6457651200 n (n - 1) (n - 5) - ----------------------------------- - ------------------------------- 3 n 2 15 3 n 2 15 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 15 n 5 24 n n 1536 n ((n - 1) ) n (n - 1) (n - 5) - -------------------- - ---------------------------- 21 n 5 3 n 2 15 (n - 1) (n ) 648 (n - 1) (n ) (n - 5) 23 n n 22 n n 29 n (n - 1) (n - 5) 517 n (n - 1) (n - 5) + ---------------------------- - --------------------------- 3 n 2 15 3 n 2 15 162 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 21 n n 20 n n 5641 n (n - 1) (n - 5) 759095 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 3 n 2 15 3 n 2 15 18 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 18 n n 17 n n 113871056 n (n - 1) (n - 5) 2147895503 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 3 n 2 15 3 n 2 15 81 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 5) 16 n n 26 n 2 n 21027715423 n (n - 1) (n - 5) n ((n - 1) ) (n - 4) - --------------------------------- + ---------------------------- 3 n 2 15 8 n 3 12 216 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 1543 n ((n - 1) ) (n - 4) 35381 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 8 n 3 12 8 n 3 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 25 n 2 n 18 n 2 n 41 n ((n - 1) ) (n - 4) 10101053 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------------- 8 n 3 12 10 n 3 9 81 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 21554153 n ((n - 1) ) (n - 3) 17535424 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 108 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 43501718 n ((n - 1) ) (n - 3) 81569338 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 113472404 n ((n - 1) ) (n - 3) 37761328 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 2835136 n ((n - 1) ) (n - 3) 1157888 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 24 n 2 n 215040 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 23 n 2 n 22 n 2 n 7 n ((n - 1) ) (n - 3) 1435 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 11161 n ((n - 1) ) (n - 3) 235735 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 9 10 n 3 9 108 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 19 n 2 n 20 n 2 n 447581 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------- 10 n 3 9 10 n 3 6 54 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 2) 20 n n 19 n n n (n - 1) (n - 4) 59 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 18 n n 14 n n 1577 n (n - 1) (n - 4) 11578451 n (n - 1) (n - 4) - --------------------------- - ------------------------------ 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 13 n n 12 n n 47936509 n (n - 1) (n - 4) 74005742 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 11 n n 10 n n 169501648 n (n - 1) (n - 4) 94427792 n (n - 1) (n - 4) + ------------------------------- - ------------------------------ 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 37185816 n (n - 1) (n - 4) 29315712 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 13776768 n (n - 1) (n - 4) 2903040 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 16 n n 25303 n (n - 1) (n - 4) 90733 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 15 n n 14 n 3 13 n 3 692107 n (n - 1) (n - 4) n ((n - 1) ) 13 n ((n - 1) ) + ---------------------------- + ----------------- - ------------------ 5 n 2 10 11 n 3 11 n 3 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) 6 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 11 n ((n - 1) ) 82 n ((n - 1) ) 100 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 11 n 3 11 n 3 11 n 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 10 n 9 n 8 n 7 n n (n - 3) 23 n (n - 3) 217 n (n - 3) 1085 n (n - 3) + ------------- - -------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 6 n 5 n 4 n 3 n 1547 n (n - 3) 2506 n (n - 3) 708 n (n - 3) 240 n (n - 3) + ---------------- - ---------------- + --------------- - --------------- n 7 n 7 n 7 n 7 3 n (n - 3) 3 n (n - 3) n (n - 3) n (n - 3) 22 n 4 n 21 n 4 n 15306785 n ((n - 1) ) (n - 2) 17345426 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 16 n 5 8 16 n 5 8 54 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 29809366 n ((n - 1) ) (n - 2) 38136152 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 16 n 5 8 16 n 5 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 11713192 n ((n - 1) ) (n - 2) 814816 n ((n - 1) ) (n - 2) + --------------------------------- - ------------------------------- 16 n 5 8 16 n 5 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 309632 n ((n - 1) ) (n - 2) 53760 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 16 n 5 8 16 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 15827603 n ((n - 1) ) (n - 3) 56625001 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 157145132 n ((n - 1) ) (n - 3) 337145548 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 9 13 n 4 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 553222160 n ((n - 1) ) (n - 3) 680457584 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 9 13 n 4 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 202077760 n ((n - 1) ) (n - 3) 13656320 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 5061632 n ((n - 1) ) (n - 3) 860160 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 29 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 13 n 4 9 13 n 4 9 108 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 1547 n ((n - 1) ) (n - 3) 6298 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 13 n 4 9 13 n 4 9 108 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 280379 n ((n - 1) ) (n - 3) 1130897 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 13 n 4 9 13 n 4 9 108 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 22 n 3 n 23 n 2 n 1520189 n ((n - 1) ) (n - 3) 20527 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------ 13 n 4 9 10 n 3 10 12 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 67793 n ((n - 1) ) (n - 4) 2610919 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 17 n 2 n 1597669355 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 10 108 (n - 1) (n ) (n - 4) 16 n 2 n 1077046402 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 10 27 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 2266850846 n ((n - 1) ) (n - 4) 408591662 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 499967932 n ((n - 1) ) (n - 4) 148463504 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 90658368 n ((n - 1) ) (n - 4) 33843456 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 20 n 2 n 5806080 n ((n - 1) ) (n - 4) 18974893 n ((n - 1) ) (n - 4) - ------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 106329845 n ((n - 1) ) (n - 4) 930311495 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 108 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 10 n 3 10 10 n 3 10 216 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 24 n 2 n 28 n 3 n 1067 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 10 11 n 4 11 108 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 35 n ((n - 1) ) (n - 3) 2237 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 11 n 4 11 11 n 4 11 162 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 21653 n ((n - 1) ) (n - 3) 568271 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 11 n 4 11 11 n 4 11 162 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 2679353 n ((n - 1) ) (n - 3) 12519901 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 11 n 4 11 11 n 4 11 162 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 99800899 n ((n - 1) ) (n - 3) 203205475 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 11 n 4 11 11 n 4 11 162 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 636260702 n ((n - 1) ) (n - 3) 1526862532 n ((n - 1) ) (n - 3) + ---------------------------------- - ----------------------------------- 11 n 4 11 11 n 4 11 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 11 n ((n - 1) ) (n - 2) 122 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 6 10 n 3 6 12 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 237 n ((n - 1) ) (n - 2) 8159 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 2 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 10745 n ((n - 1) ) (n - 2) 134089 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 4 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 43447 n ((n - 1) ) (n - 2) 173818 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 16792 n ((n - 1) ) (n - 2) 8544 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 1920 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ---------------------------- - -------------------------- 10 n 3 6 5 n 2 9 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 3) 17 n n 16 n n 47 n (n - 1) (n - 3) 493 n (n - 1) (n - 3) + -------------------------- - ------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 6101 n (n - 1) (n - 3) 11017 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 185677 n (n - 1) (n - 3) 1108474 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n n 10 n n 3146648 n (n - 1) (n - 3) 6317168 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 8736136 n (n - 1) (n - 3) 2628736 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 462464 n (n - 1) (n - 3) 107520 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 5 512 n ((n - 1) ) - ------------------- 23 n 5 (n - 1) (n ) and in Maple notation -1/324*n^28*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+25/162*n^27*((n-1)^n)^ 3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-1159/324*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*( n-3)^n/(n-3)^7-6310529/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+ 6582682/81*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-21375689/81*n^20*( (n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+54185848/81*n^19*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-3)^n/(n-3)^7-106835180/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3) ^n/(n-3)^7+162047392/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-\ 6862160/3*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+17141504/9*n^15*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-3265024/3*n^14*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-3)^n/(n-3)^7+380928*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7 -61440*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+1/216*n^30*((n-1)^n)^4 /(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-25/108*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2 )^n/(n-2)^8+1147/216*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-2002/27* n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+152251/216*n^26*((n-1)^n)^4/( n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-521893/108*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n -2)^n/(n-2)^8+5331413/216*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-\ 5164777/54*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-1/324*n^24*(n-1)^n /(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+8/27*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-\ 5)^13-709/54*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+19261/54*n^21*(n-1)^ n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-59890/9*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n /(n-5)^13-150616949/162*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+398181407 /54*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-4941961453/108*n^16*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+12084698483/54*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 5)^n/(n-5)^13-864351358*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+4887337/ 54*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+70991708164/27*n^13*(n-1)^n/(n -1)^5/(n^n)^2*(n-5)^n/(n-5)^13+47400022528/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^ n/(n-5)^13-10797508608*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+ 103017297064/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-506259792652/81*n^ 12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+4487608320*n^7*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^13-142058928896/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 13-851558400*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+1/1296*n^26*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14+1145/324*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-4)^n/(n-4)^14-31861/324*n^23*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14-\ 8209747/324*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14+6945731/27*n^20*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14-643355999/324*n^19*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-4)^n/(n-4)^14+15274553437/1296*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-4)^n/(n-4)^14-4378296494/81*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^ 14+1205125/648*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14+62014756141/ 324*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14+5342387924/3*n^12*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14-3926975072/3*n^11*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-4)^n/(n-4)^14+86674476347/81*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/( n-4)^14-42120216866/81*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14+ 578128960*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14-44065487296/27*n^13 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^14-115315200*n^9*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-4)^n/(n-4)^14-25/324*n^25*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4) ^14-1627/216*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+80107/1296*n^26* ((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-79681/216*n^25*((n-1)^n)^4/(n-1)^ 20/(n^n)^5*(n-2)^n/(n-2)^4+1/1296*n^30*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-\ 2)^4-7/216*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+817/1296*n^28*((n-\ 1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+2143115/1296*n^24*((n-1)^n)^4/(n-1)^20 /(n^n)^5*(n-2)^n/(n-2)^4-1224245/216*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/ (n-2)^4+2425165/162*n^22*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+418688/9* n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-80576/3*n^17*((n-1)^n)^4/(n-1 )^20/(n^n)^5*(n-2)^n/(n-2)^4+9472*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-\ 2)^4-1536*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-822355/27*n^21*((n-\ 1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+3832991/81*n^20*((n-1)^n)^4/(n-1)^20/( n^n)^5*(n-2)^n/(n-2)^4-1487794/27*n^19*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-\ 2)^4+1/162*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-22/81*n^29*((n-1)^ n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-5581/81*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-2)^n/(n-2)^6+95431/162*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-\ 296164/81*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+2756561/162*n^24*(( n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-4895681/81*n^23*((n-1)^n)^4/(n-1)^18 /(n^n)^5*(n-2)^n/(n-2)^6+895/162*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2 )^6+13377292/81*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+15601664/27*n ^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-1026560/3*n^17*((n-1)^n)^4/(n-\ 1)^18/(n^n)^5*(n-2)^n/(n-2)^6+45022696/81*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-\ 2)^n/(n-2)^6-28107944/81*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+ 370688/3*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-53958608/81*n^19*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-20480*n^15*((n-1)^n)^4/(n-1)^18/(n^n) ^5*(n-2)^n/(n-2)^6+4133/81*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-\ 162403/324*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+582457/162*n^23*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-1/324*n^26*((n-1)^n)^3/(n-1)^15/(n^n )^4*(n-2)^n/(n-2)^6+2778883304/81*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-\ 3)^11-3760244432/81*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11+ 1218870368/27*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11-267680512/9*n^ 14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11+35560960/3*n^13*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-3)^n/(n-3)^11-2150400*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3) ^n/(n-3)^11+20703710054/81*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+ 1439626272*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-2870098432/3*n^11* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+88310741032/81*n^14*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^12-48895703728/81*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-4)^n/(n-4)^12+385794560*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-\ 6264947/81*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+553426/81*n^22*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+17712457/27*n^20*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-4)^n/(n-4)^12+3467266363/162*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^ n/(n-4)^12-6788438008/81*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-\ 344862727/81*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-39794960768/27*n ^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-70963200*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^12-1/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+17 /3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-115/3*n^10*(n-1)^n/(n-1)^3/(n^n )^2*(n-2)^n/(n-2)^6+395/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-724/3*n^8 *(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+668/3*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2 )^n/(n-2)^6-80*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+1/1296*n^28*((n-1)^n )^5/(n-1)^23/(n^n)^5-19/648*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^5+331/648*n^26*((n-\ 1)^n)^5/(n-1)^23/(n^n)^5-875/162*n^25*((n-1)^n)^5/(n-1)^23/(n^n)^5+5569/144*n^ 24*((n-1)^n)^5/(n-1)^23/(n^n)^5-42767/216*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^5+ 120793/162*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^5-169393/81*n^21*((n-1)^n)^5/(n-1)^ 23/(n^n)^5+353821/81*n^20*((n-1)^n)^5/(n-1)^23/(n^n)^5-543602/81*n^19*((n-1)^n) ^5/(n-1)^23/(n^n)^5+199040/27*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^5-16448/3*n^17*(( n-1)^n)^5/(n-1)^23/(n^n)^5+7424/3*n^16*((n-1)^n)^5/(n-1)^23/(n^n)^5+1220/3*n^13 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-2117*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3 )^n/(n-3)^7+7364*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-155840/9*n^10*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+244240/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^7-81232/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+15488*n^7*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-3840*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3 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n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+233184*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^9-62720*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-7/18*n^16*(n-1)^n/ (n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+117888*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^ n/(n-3)^7-23040*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-1/18*n^24*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+41/18*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^ 4*(n-2)^n/(n-2)^8-376/9*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+4079/ 9*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8-6477/2*n^20*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-2)^n/(n-2)^8+96331/6*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n /(n-2)^8-509533/9*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+1287332/9*n ^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8-2311808/9*n^16*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-2)^n/(n-2)^8+2876008/9*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2) ^n/(n-2)^8-783472/3*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8+125696*n^ 13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^8-26880*n^12*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-2)^n/(n-2)^8+123557/9*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^9-251779/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+3331010/9*n^16*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-10727192/9*n^15*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^9-16415/6/(n^n)*n^11*(n-4)^n/(n-4)^10+270067/12/(n^n)*n^10 *(n-4)^n/(n-4)^10-749455/6/(n^n)*n^9*(n-4)^n/(n-4)^10+17149601/36/(n^n)*n^8*(n-\ 4)^n/(n-4)^10-22424675/18/(n^n)*n^7*(n-4)^n/(n-4)^10+6552091/3/(n^n)*n^6*(n-4)^ n/(n-4)^10-2436770/(n^n)*n^5*(n-4)^n/(n-4)^10+1550472/(n^n)*n^4*(n-4)^n/(n-4)^ 10-423360/(n^n)*n^3*(n-4)^n/(n-4)^10+7/36/(n^n)*n^14*(n-4)^n/(n-4)^10-175/18/(n ^n)*n^13*(n-4)^n/(n-4)^10+2569/12/(n^n)*n^12*(n-4)^n/(n-4)^10-1/9*n^20*((n-1)^n )^4/(n-1)^16/(n^n)^4+22/9*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^4-209/9*n^18*((n-1)^n )^4/(n-1)^16/(n^n)^4+1120/9*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^4-3704/9*n^16*((n-1 )^n)^4/(n-1)^16/(n^n)^4+7744/9*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^4-10000/9*n^14*( (n-1)^n)^4/(n-1)^16/(n^n)^4+2432/3*n^13*((n-1)^n)^4/(n-1)^16/(n^n)^4+1/36*n^26* ((n-1)^n)^5/(n-1)^21/(n^n)^5-31/36*n^25*((n-1)^n)^5/(n-1)^21/(n^n)^5+433/36*n^ 24*((n-1)^n)^5/(n-1)^21/(n^n)^5-1199/12*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^5+1097/ 2*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^5-6268/3*n^21*((n-1)^n)^5/(n-1)^21/(n^n)^5+ 50720/9*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^5-96884/9*n^19*((n-1)^n)^5/(n-1)^21/(n^ n)^5+128456/9*n^18*((n-1)^n)^5/(n-1)^21/(n^n)^5-12512*n^17*((n-1)^n)^5/(n-1)^21 /(n^n)^5+6528*n^16*((n-1)^n)^5/(n-1)^21/(n^n)^5+1/36/(n^n)*n^18*(n-5)^n/(n-5)^ 13-29/12/(n^n)*n^17*(n-5)^n/(n-5)^13-27425/12/(n^n)*n^15*(n-5)^n/(n-5)^13+ 1323907/36/(n^n)*n^14*(n-5)^n/(n-5)^13-5062343/12/(n^n)*n^13*(n-5)^n/(n-5)^13+ 128154455/36/(n^n)*n^12*(n-5)^n/(n-5)^13-269687275/12/(n^n)*n^11*(n-5)^n/(n-5)^ 13+3445/36/(n^n)*n^16*(n-5)^n/(n-5)^13+961955852/9/(n^n)*n^10*(n-5)^n/(n-5)^13+ 2722608144/(n^n)*n^6*(n-5)^n/(n-5)^13-2480998848/(n^n)*n^5*(n-5)^n/(n-5)^13+ 9172688720/9/(n^n)*n^8*(n-5)^n/(n-5)^13-1147205488/3/(n^n)*n^9*(n-5)^n/(n-5)^13 +1336907520/(n^n)*n^4*(n-5)^n/(n-5)^13-5950652500/3/(n^n)*n^7*(n-5)^n/(n-5)^13-\ 319334400/(n^n)*n^3*(n-5)^n/(n-5)^13-5/1296*n^32*((n-1)^n)^6/(n-1)^26/(n^n)^6+ 25/162*n^31*((n-1)^n)^6/(n-1)^26/(n^n)^6-205/72*n^30*((n-1)^n)^6/(n-1)^26/(n^n) ^6+10405/324*n^29*((n-1)^n)^6/(n-1)^26/(n^n)^6-320605/1296*n^28*((n-1)^n)^6/(n-\ 1)^26/(n^n)^6+148685/108*n^27*((n-1)^n)^6/(n-1)^26/(n^n)^6-1849435/324*n^26*((n -1)^n)^6/(n-1)^26/(n^n)^6+1450930/81*n^25*((n-1)^n)^6/(n-1)^26/(n^n)^6-1154345/ 27*n^24*((n-1)^n)^6/(n-1)^26/(n^n)^6+6256220/81*n^23*((n-1)^n)^6/(n-1)^26/(n^n) ^6-8421620/81*n^22*((n-1)^n)^6/(n-1)^26/(n^n)^6+2730560/27*n^21*((n-1)^n)^6/(n-\ 1)^26/(n^n)^6-67200*n^20*((n-1)^n)^6/(n-1)^26/(n^n)^6+81920/3*n^19*((n-1)^n)^6/ (n-1)^26/(n^n)^6+1/36*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-61/36*n ^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11+277/6*n^20*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-3)^n/(n-3)^11-13369/18*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-\ 3)^11+282953/36*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-692351/12*n^ 17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11+2716934/9*n^16*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-3)^n/(n-3)^11-10249481/9*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^ n/(n-3)^11+9285848/3*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-53849884 /9*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11+71929888/9*n^12*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-6981808*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^11+3571520*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-806400* n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^11-256*n^12*((n-1)^n)^4/(n-1)^16/ (n^n)^4-1/18*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+35/18*n^23*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-277/9*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-2)^n/(n-2)^6+2621/9*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-11003 /6*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+48553/6*n^19*((n-1)^n)^3/( n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-230794/9*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2 )^n/(n-2)^6+528860/9*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-869000/9 *n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+997528/9*n^15*((n-1)^n)^3/(n -1)^13/(n^n)^4*(n-2)^n/(n-2)^6-84256*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/ (n-2)^6+38016*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-7680*n^12*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+1/36*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-3)^n/(n-3)^7-41/36*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+191/9*n ^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-4283/18*n^19*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^7+21487/12*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^7-114571/12*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+667771/18*n ^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-956812/9*n^15*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^7+2021080/9*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^ n/(n-3)^7-3105764/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+1123912/3 *n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-271776*n^11*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^7+185862479/18*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/ (n-4)^12+760251368/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-223285264*n^8 *(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+891865304/9*n^11*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^12-112051907/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+ 115844160*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-267/2*n^18*(n-1)^n/(n-1) ^3/(n^n)^2*(n-4)^n/(n-4)^12+73/18*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12 +47213/18*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+1895113/6*n^15*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-37913249/18*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4) ^n/(n-4)^12-617705/18*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-1706523824/ 9*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-26611200*n^6*(n-1)^n/(n-1)^3/(n ^n)^2*(n-4)^n/(n-4)^12-1/18*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-67/ 648/(n^n)*n^21*(n-6)^n/(n-6)^16+1/1296/(n^n)*n^22*(n-6)^n/(n-6)^16+2777/432/(n^ n)*n^20*(n-6)^n/(n-6)^16-5911/24/(n^n)*n^19*(n-6)^n/(n-6)^16+1407167/216/(n^n)* n^18*(n-6)^n/(n-6)^16-13640609/108/(n^n)*n^17*(n-6)^n/(n-6)^16-6889842557/324/( n^n)*n^15*(n-6)^n/(n-6)^16+82706226551/432/(n^n)*n^14*(n-6)^n/(n-6)^16-\ 32828414333/24/(n^n)*n^13*(n-6)^n/(n-6)^16+3361024485221/432/(n^n)*n^12*(n-6)^n /(n-6)^16-7601560019027/216/(n^n)*n^11*(n-6)^n/(n-6)^16+1205105411/648/(n^n)*n^ 16*(n-6)^n/(n-6)^16+10200408258499/81/(n^n)*n^10*(n-6)^n/(n-6)^16+4358248637480 /3/(n^n)*n^6*(n-6)^n/(n-6)^16-1158159024800/(n^n)*n^5*(n-6)^n/(n-6)^16+ 20577441930233/27/(n^n)*n^8*(n-6)^n/(n-6)^16-28585837173611/81/(n^n)*n^9*(n-6)^ n/(n-6)^16+557161584000/(n^n)*n^4*(n-6)^n/(n-6)^16-11134888520114/9/(n^n)*n^7*( n-6)^n/(n-6)^16-121080960000/(n^n)*n^3*(n-6)^n/(n-6)^16+28671863/36/(n^n)*n^10* (n-4)^n/(n-4)^12+125556848/3/(n^n)*n^6*(n-4)^n/(n-4)^12-43003996/(n^n)*n^5*(n-4 )^n/(n-4)^12+103818484/9/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/36/(n^n)*n^9*(n-4 )^n/(n-4)^12+25634640/(n^n)*n^4*(n-4)^n/(n-4)^12-71/36/(n^n)*n^15*(n-4)^n/(n-4) ^12+1/36/(n^n)*n^16*(n-4)^n/(n-4)^12+2261/36/(n^n)*n^14*(n-4)^n/(n-4)^12+59147/ 4/(n^n)*n^12*(n-4)^n/(n-4)^12-1540231/12/(n^n)*n^11*(n-4)^n/(n-4)^12-42691/36/( n^n)*n^13*(n-4)^n/(n-4)^12-238295684/9/(n^n)*n^7*(n-4)^n/(n-4)^12-6652800/(n^n) *n^3*(n-4)^n/(n-4)^12+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n) *n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/( n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-5120*n^18*((n-1)^n)^6/(n-1)^26/( n^n)^6+8406976/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-42740944/9*n^ 13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+50716960/9*n^12*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^9-13289728/3*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^9+2064896*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-430080*n^9*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1/9*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-3)^n/(n-3)^9-49/9*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+120*n^20* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-14174/9*n^19*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^9-1/9*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+8/3*n^13 *(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-82/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2 )^n/(n-2)^6+156*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-541*n^10*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+1164*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6 -13604/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+3232/3*n^7*(n-1)^n/(n-1)^5 /(n^n)^2*(n-2)^n/(n-2)^6-320*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-811/ 324*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+265/9*n^23*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-2)^n/(n-2)^6-76351/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2 )^n/(n-2)^6+73271/54*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-1877309/ 324*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+7/54*n^25*((n-1)^n)^3/(n-\ 1)^15/(n^n)^4*(n-2)^n/(n-2)^6+503062/27*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2) ^n/(n-2)^6+2936768/27*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-214144/ 3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+745936/9*n^17*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-3670274/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -2)^n/(n-2)^6+84992/3*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-9084500 /81*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-5120*n^12*((n-1)^n)^3/(n-\ 1)^15/(n^n)^4*(n-2)^n/(n-2)^6+4360130225/162*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^12+786641080/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-586157248/ 3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+12464402260/81*n^11*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^12-5991724802/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^12+87578240*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-244258/81*n^18* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+32455/162*n^19*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^12+5287915/162*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+ 259739645/162*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-2428307783/324*n^14 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-42561541/162*n^16*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^12-6408855332/27*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 12-17740800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+20/81*n^21*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1463/162*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^12-1/324*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+1/1296/(n^n)*n^20*(n-\ 5)^n/(n-5)^15-19/216/(n^n)*n^19*(n-5)^n/(n-5)^15+83/18/(n^n)*n^18*(n-5)^n/(n-5) 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n^n)^3*(n-2)^n/(n-2)^6+69112/9*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6 -73808/9*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+14848/3*n^10*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1280*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^6-1/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+32/9*n^15*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^7-50*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+7 /36/(n^n)*n^12*(n-3)^n/(n-3)^9-133/18/(n^n)*n^11*(n-3)^n/(n-3)^9+721/6/(n^n)*n^ 10*(n-3)^n/(n-3)^9-3283/3/(n^n)*n^9*(n-3)^n/(n-3)^9+73549/12/(n^n)*n^8*(n-3)^n/ (n-3)^9-130879/6/(n^n)*n^7*(n-3)^n/(n-3)^9+442211/9/(n^n)*n^6*(n-3)^n/(n-3)^9-\ 605206/9/(n^n)*n^5*(n-3)^n/(n-3)^9+50456/(n^n)*n^4*(n-3)^n/(n-3)^9-15680/(n^n)* n^3*(n-3)^n/(n-3)^9+5040835514/9*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-\ 136541924441/54*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+6187601/54*n^19*( n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+241038891002/27*n^13*(n-1)^n/(n-1)^3/(n ^n)^2*(n-5)^n/(n-5)^15+269272457504/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5) ^15-204642408832/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+4142425189648/ 81*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-1979856585806/81*n^12*(n-1)^n/ (n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+31222069760*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^ n/(n-5)^15-2156750849144/27*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-\ 6457651200*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-1536*n^15*((n-1)^n)^5/( n-1)^21/(n^n)^5-1/648*n^24*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+29/162*n^23 *(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-517/54*n^22*(n-1)^n/(n-1)^3/(n^n)^2*( n-5)^n/(n-5)^15+5641/18*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-759095/ 108*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-113871056/81*n^18*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-5)^n/(n-5)^15+2147895503/162*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-5) ^n/(n-5)^15-21027715423/216*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+1/162 *n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1543/81*n^24*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-4)^n/(n-4)^12-35381/81*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^12-41/81*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+10101053/216* n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-21554153/108*n^17*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+17535424/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-3)^n/(n-3)^9-43501718/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+ 81569338/27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-113472404/27*n^13 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+37761328/9*n^12*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^9-2835136*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/( n-3)^9+1157888*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-215040*n^9*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1/216*n^24*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-3)^n/(n-3)^9-7/27*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1435/ 216*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-11161/108*n^21*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+235735/216*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-3)^n/(n-3)^9-447581/54*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1/ 36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/18*n^20*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^10+59/18*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-\ 1577/18*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-11578451/18*n^14*(n-1)^n/ (n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+47936509/18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^10-74005742/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+169501648/ 9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-94427792/3*n^10*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^10+37185816*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10 -29315712*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+13776768*n^7*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^10-2903040*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^10+25303/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-90733/6*n^16*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+692107/6*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^10+1/6*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-13/6*n^13*((n-1)^n)^3/(n-1)^11/ (n^n)^3+11*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-82/3*n^11*((n-1)^n)^3/(n-1)^11/(n^ n)^3+100/3*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+1/6/(n^n)*n^10*(n-3)^n/(n-3)^7-23/ 6/(n^n)*n^9*(n-3)^n/(n-3)^7+217/6/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/6/(n^n)*n^7*(n -3)^n/(n-3)^7+1547/3/(n^n)*n^6*(n-3)^n/(n-3)^7-2506/3/(n^n)*n^5*(n-3)^n/(n-3)^7 +708/(n^n)*n^4*(n-3)^n/(n-3)^7-240/(n^n)*n^3*(n-3)^n/(n-3)^7+15306785/54*n^22*( (n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-17345426/27*n^21*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-2)^n/(n-2)^8+29809366/27*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^ n/(n-2)^8-38136152/27*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+ 11713192/9*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-814816*n^17*((n-1) ^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+309632*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-2)^n/(n-2)^8-53760*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+ 15827603/27*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-56625001/27*n^20* ((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+157145132/27*n^19*((n-1)^n)^3/(n-1 )^13/(n^n)^4*(n-3)^n/(n-3)^9-337145548/27*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-\ 3)^n/(n-3)^9+553222160/27*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-\ 680457584/27*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+202077760/9*n^15 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-13656320*n^14*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-3)^n/(n-3)^9+5061632*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n -3)^9-860160*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1/108*n^28*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+29/54*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-3)^n/(n-3)^9-1547/108*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+ 6298/27*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-280379/108*n^24*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+1130897/54*n^23*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-3)^n/(n-3)^9-1520189/12*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3 )^9-20527/108*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+67793/27*n^22* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-2610919/108*n^21*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-4)^n/(n-4)^10-1597669355/108*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-4)^n/(n-4)^10+1077046402/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^ 10-2266850846/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+408591662/3 *n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-499967932/3*n^13*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+148463504*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-4)^n/(n-4)^10-90658368*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+ 33843456*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-5806080*n^9*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+18974893/108*n^20*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-4)^n/(n-4)^10-106329845/108*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n /(n-4)^10+930311495/216*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+1/ 216*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-17/54*n^25*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+1067/108*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 4)^n/(n-4)^10-1/324*n^28*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11+35/162*n ^27*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11-2237/324*n^26*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-3)^n/(n-3)^11+21653/162*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3 )^n/(n-3)^11-568271/324*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11+ 2679353/162*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11-12519901/108*n^ 22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11+99800899/162*n^21*((n-1)^n)^3/ (n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11-203205475/81*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^ 4*(n-3)^n/(n-3)^11+636260702/81*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3) ^11-1526862532/81*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^11-11/12*n^19 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+122/9*n^18*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-2)^n/(n-2)^6-237/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+ 8159/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-10745/4*n^15*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/18*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^6-43447/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+ 173818/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-16792*n^11*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+8544*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2 )^n/(n-2)^6-1920*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/18*n^18*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^9-493/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+6101/9*n^15*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11017/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^9+185677/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1108474/9*n^12*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+3146648/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^9-6317168/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+8736136/9*n ^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-2628736/3*n^8*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-3)^n/(n-3)^9+462464*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-107520*n^6 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-512*n^15*((n-1)^n)^5/(n-1)^23/(n^n)^5 The, 3, 1, mixed moment of, X[2], and , X[4], is 6 n 2 14 n 2 n 8 n ((n - 1) ) 121 n ((n - 1) ) (n - 2) - ---------------- + ---------------------------- 8 n 2 8 n 3 4 (n - 1) (n ) 2 (n - 1) (n ) (n - 2) 13 n 2 n 11 n n 467 n ((n - 1) ) (n - 2) 317 n (n - 1) (n - 3) - ---------------------------- + ------------------------- 8 n 3 4 5 n 2 5 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 487 n (n - 1) (n - 3) 934 n (n - 1) (n - 3) - ------------------------- + ------------------------ 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 3268 n (n - 1) (n - 3) 704 n (n - 1) (n - 3) - ------------------------- + ------------------------ 5 n 2 5 5 n 2 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 192 n (n - 1) (n - 3) n (n - 1) (n - 3) - ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 13 n n 12 n n 7 n (n - 1) (n - 3) 63 n (n - 1) (n - 3) + ------------------------- - ------------------------- 5 n 2 5 5 n 2 5 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 149 n ((n - 1) ) (n - 2) 625 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 757 n ((n - 1) ) (n - 2) 1058 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 788 n ((n - 1) ) (n - 2) 240 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n n (n - 1) (n - 3) 25 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 263 n (n - 1) (n - 3) 1519 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 2632 n (n - 1) (n - 3) 5600 n (n - 1) (n - 3) - -------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 7136 n (n - 1) (n - 3) 4968 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n 2 n 1440 n (n - 1) (n - 3) n ((n - 1) ) (n - 2) - ------------------------- + ------------------------- 3 n 2 7 8 n 3 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 527 n ((n - 1) ) (n - 2) 694 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 492 n ((n - 1) ) (n - 2) 144 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 10 n n 17 n ((n - 1) ) (n - 2) 91 n (n - 1) (n - 2) - --------------------------- - ------------------------- 8 n 3 4 5 n 2 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 285 n (n - 1) (n - 2) 242 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 4 5 n 2 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 210 n (n - 1) (n - 2) 72 n (n - 1) (n - 2) + ------------------------ - ----------------------- 5 n 2 4 5 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n n (n - 1) (n - 2) 17 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 115 n (n - 1) (n - 2) 395 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 362 n (n - 1) (n - 2) 334 n (n - 1) (n - 2) - ------------------------ + ------------------------ 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 12 n n 120 n (n - 1) (n - 2) n (n - 1) (n - 2) - ------------------------ - ------------------------- 3 n 2 6 5 n 2 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 11 n n 18 n 4 17 n 4 15 n (n - 1) (n - 2) n ((n - 1) ) 15 n ((n - 1) ) + ------------------------- - ----------------- + ------------------ 5 n 2 4 14 n 4 14 n 4 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) 2 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 46 n ((n - 1) ) 148 n ((n - 1) ) 264 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 14 n 4 14 n 4 14 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 4 12 n 11 n 10 n 248 n ((n - 1) ) n (n - 4) 11 n (n - 4) 78 n (n - 4) + ------------------- + ------------- - --------------- + --------------- 14 n 4 n 8 n 8 n 8 (n - 1) (n ) 6 n (n - 4) 2 n (n - 4) n (n - 4) 9 n 8 n 7 n 623 n (n - 4) 6167 n (n - 4) 19579 n (n - 4) - --------------- + ---------------- - ----------------- n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 59671 n (n - 4) 24862 n (n - 4) 17268 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 3 n (n - 4) n (n - 4) n (n - 4) 3 n 10 n 2 9 n 2 5040 n (n - 4) n ((n - 1) ) 11 n ((n - 1) ) - ---------------- - ---------------- + ----------------- n 8 8 n 2 8 n 2 n (n - 4) 6 (n - 1) (n ) 6 (n - 1) (n ) 8 n 2 7 n 2 n 6 n 5 22 n ((n - 1) ) 38 n ((n - 1) ) 85 (n - 2) n 75 (n - 2) n - ----------------- + ----------------- + -------------- - -------------- 8 n 2 8 n 2 6 n 6 n 3 (n - 1) (n ) 3 (n - 1) (n ) 6 (n - 2) n 2 (n - 2) n n 4 n 3 n 8 n 7 137 (n - 2) n 20 (n - 2) n (n - 2) n 5 (n - 2) n + --------------- - -------------- + ------------- - ------------- 6 n 6 n 6 n 6 n 3 (n - 2) n (n - 2) n 6 (n - 2) n 2 (n - 2) n 9 n 3 12 n 4 14 n 3 48 n ((n - 1) ) 96 n ((n - 1) ) n ((n - 1) ) - ----------------- - ------------------ + ----------------- 11 n 3 14 n 4 11 n 3 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 13 n ((n - 1) ) 33 n ((n - 1) ) 82 n ((n - 1) ) - ------------------ + ------------------ - ------------------ 11 n 3 11 n 3 11 n 3 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 10 n 3 10 n 9 n 8 n 100 n ((n - 1) ) n (n - 3) 23 n (n - 3) 217 n (n - 3) + ------------------- + ------------- - -------------- + --------------- 11 n 3 n 7 n 7 n 7 (n - 1) (n ) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 7 n 6 n 5 n 1085 n (n - 3) 1547 n (n - 3) 2506 n (n - 3) - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 2 n (n - 3) n (n - 3) n (n - 3) 4 n 3 n 2124 n (n - 3) 720 n (n - 3) + ---------------- - --------------- n 7 n 7 n (n - 3) n (n - 3) and in Maple notation -8*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2+121/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2) ^n/(n-2)^4-467/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+317/2*n^11*(n -1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-487*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/ (n-3)^5+934*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-3268/3*n^8*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^5+704*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-192 *n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1/6*n^14*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^5+7/2*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-63/2*n^12*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+1/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n /(n-2)^6-19/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+149/2*n^14*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-625/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-2)^n/(n-2)^6+757*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-1058*n^11*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+788*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-2)^n/(n-2)^6-240*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-1/2*n^14*( n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+25/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^ n/(n-3)^7-263/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+1519/2*n^11*(n-1)^ n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-2632*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-\ 3)^7+5600*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-7136*n^8*(n-1)^n/(n-1)^3/ (n^n)^2*(n-3)^n/(n-3)^7+4968*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-1440*n ^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+1/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-2)^n/(n-2)^4+527*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-694*n^11* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+492*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-2)^n/(n-2)^4-144*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-17/2*n^15 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-91/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2* (n-2)^n/(n-2)^4+285/2*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4-242*n^8*(n-1) ^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4+210*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2 )^4-72*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4-1/2*n^12*(n-1)^n/(n-1)^3/(n^ n)^2*(n-2)^n/(n-2)^6+17/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-115/2*n^ 10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+395/2*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n -2)^n/(n-2)^6-362*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+334*n^7*(n-1)^n/( n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-120*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-\ 1/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4+15/2*n^11*(n-1)^n/(n-1)^5/(n^n )^2*(n-2)^n/(n-2)^4-1/2*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+15/2*n^17*((n-1)^n)^4 /(n-1)^14/(n^n)^4-46*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+148*n^15*((n-1)^n)^4/(n-\ 1)^14/(n^n)^4-264*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+248*n^13*((n-1)^n)^4/(n-1)^ 14/(n^n)^4+1/6/(n^n)*n^12*(n-4)^n/(n-4)^8-11/2/(n^n)*n^11*(n-4)^n/(n-4)^8+78/(n ^n)*n^10*(n-4)^n/(n-4)^8-623/(n^n)*n^9*(n-4)^n/(n-4)^8+6167/2/(n^n)*n^8*(n-4)^n /(n-4)^8-19579/2/(n^n)*n^7*(n-4)^n/(n-4)^8+59671/3/(n^n)*n^6*(n-4)^n/(n-4)^8-\ 24862/(n^n)*n^5*(n-4)^n/(n-4)^8+17268/(n^n)*n^4*(n-4)^n/(n-4)^8-5040/(n^n)*n^3* (n-4)^n/(n-4)^8-1/6*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+11/6*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^2-22/3*n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+38/3*n^7*((n-1)^n)^2/(n-1)^8/(n ^n)^2+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2) ^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8 -5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-48*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3-96*n^12*((n-\ 1)^n)^4/(n-1)^14/(n^n)^4+1/2*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-13/2*n^13*((n-1) ^n)^3/(n-1)^11/(n^n)^3+33*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-82*n^11*((n-1)^n)^3 /(n-1)^11/(n^n)^3+100*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+1/2/(n^n)*n^10*(n-3)^n/ (n-3)^7-23/2/(n^n)*n^9*(n-3)^n/(n-3)^7+217/2/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/2/( n^n)*n^7*(n-3)^n/(n-3)^7+1547/(n^n)*n^6*(n-3)^n/(n-3)^7-2506/(n^n)*n^5*(n-3)^n/ (n-3)^7+2124/(n^n)*n^4*(n-3)^n/(n-3)^7-720/(n^n)*n^3*(n-3)^n/(n-3)^7 The, 3, 2, mixed moment of, X[2], and , X[4], is 9 n 3 22 n 3 n 21 n 3 n 32 n ((n - 1) ) n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) - ----------------- - --------------------------- + --------------------------- 13 n 3 13 n 4 4 13 n 4 4 (n - 1) (n ) 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 25 n ((n - 1) ) (n - 2) 337 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 13 n 4 4 13 n 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 17632 n ((n - 1) ) (n - 2) 5124 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 4 4 13 n 4 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 2592 n ((n - 1) ) (n - 2) 576 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 13 n 4 4 13 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 2937 n ((n - 1) ) (n - 2) 2160 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 13 n 4 4 13 n 4 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 20 n 2 n 13022 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------- 13 n 4 4 10 n 3 5 3 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 5 n ((n - 1) ) (n - 3) 101 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 10 n 3 5 10 n 3 5 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 38942 n ((n - 1) ) (n - 3) 23240 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 85900 n ((n - 1) ) (n - 3) 7696 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 10 n 3 5 10 n 3 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 3648 n ((n - 1) ) (n - 3) 768 n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 179 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 3 5 10 n 3 5 2 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 15 n 2 n 16 n 2 n 1699 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------- 10 n 3 5 6 n 3 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 19 n ((n - 1) ) (n - 2) 149 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 625 n ((n - 1) ) (n - 2) 757 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1058 n ((n - 1) ) (n - 2) 788 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 14 n n 240 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - --------------------------- - ------------------------- 6 n 3 6 3 n 2 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 25 n (n - 1) (n - 3) 263 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 1519 n (n - 1) (n - 3) 2632 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 5600 n (n - 1) (n - 3) 7136 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 4968 n (n - 1) (n - 3) 1440 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 5 16 n 3 15 n 3 512 n ((n - 1) ) n ((n - 1) ) 5 n ((n - 1) ) - ------------------- + ------------------ - ----------------- 19 n 5 13 n 3 13 n 3 (n - 1) (n ) 36 (n - 1) (n ) 9 (n - 1) (n ) 14 n 3 18 n n 169 n ((n - 1) ) n (n - 1) (n - 4) + ------------------- - -------------------------- 13 n 3 5 n 2 8 36 (n - 1) (n ) 18 (n - 1) (n ) (n - 4) 17 n n 16 n n 7 n (n - 1) (n - 4) 791 n (n - 1) (n - 4) + ------------------------- - -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 15 n n 14 n n 1472 n (n - 1) (n - 4) 21701 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 13 n n 12 n n 18537 n (n - 1) (n - 4) 1218713 n (n - 1) (n - 4) + --------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 11 n n 10 n n 532406 n (n - 1) (n - 4) 2979368 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 9 n n 8 n n 1284232 n (n - 1) (n - 4) 363672 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 181824 n (n - 1) (n - 4) 40320 n (n - 1) (n - 4) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 17 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 8 9 n 4 8 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 12 n n 11 n n n (n - 1) (n - 2) 17 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 115 n (n - 1) (n - 2) 395 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 362 n (n - 1) (n - 2) 334 n (n - 1) (n - 2) - ------------------------ + ------------------------ 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 20 n 3 n 120 n (n - 1) (n - 2) 251 n ((n - 1) ) (n - 2) - ------------------------ - ---------------------------- 3 n 2 6 9 n 4 8 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 353 n ((n - 1) ) (n - 2) 2513 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 13307 n ((n - 1) ) (n - 2) 47192 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 4 8 9 n 4 8 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 73796 n ((n - 1) ) (n - 2) 73028 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 4 8 9 n 4 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 4584 n ((n - 1) ) (n - 2) 1120 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 129 n ((n - 1) ) (n - 3) 2063 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 9 6 n 3 9 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 18835 n ((n - 1) ) (n - 3) 43463 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 9 6 n 3 9 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 206876 n ((n - 1) ) (n - 3) 150444 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 6 n 3 9 6 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 221132 n ((n - 1) ) (n - 3) 625480 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 113376 n ((n - 1) ) (n - 3) 26880 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + -------------------------- - -------------------------- 6 n 3 9 6 n 3 9 12 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n n 14 n n n (n - 1) (n - 4) 47961 n (n - 1) (n - 4) - --------------------------- - --------------------------- 3 n 2 10 3 n 2 10 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 12 n n 72823 n (n - 1) (n - 4) 3734723 n (n - 1) (n - 4) + --------------------------- - ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 2826734 n (n - 1) (n - 4) 6011564 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 2916356 n (n - 1) (n - 4) 2753148 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1510416 n (n - 1) (n - 4) 362880 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 16 n n 13 n (n - 1) (n - 4) 1201 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 15 n n 18 n 4 17 n 4 1356 n (n - 1) (n - 4) n ((n - 1) ) 5 n ((n - 1) ) + -------------------------- - ----------------- + ----------------- 3 n 2 10 14 n 4 14 n 4 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) 2 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 46 n ((n - 1) ) 148 n ((n - 1) ) 88 n ((n - 1) ) - ------------------ + ------------------- - ------------------ 14 n 4 14 n 4 14 n 4 3 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 13 n 4 12 n 11 n 10 n 248 n ((n - 1) ) n (n - 4) 11 n (n - 4) 78 n (n - 4) + ------------------- + ------------- - --------------- + --------------- 14 n 4 n 8 n 8 n 8 3 (n - 1) (n ) 6 n (n - 4) 2 n (n - 4) n (n - 4) 9 n 8 n 7 n 623 n (n - 4) 6167 n (n - 4) 19579 n (n - 4) - --------------- + ---------------- - ----------------- n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 59671 n (n - 4) 24862 n (n - 4) 17268 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 3 n (n - 4) n (n - 4) n (n - 4) 3 n 24 n 5 23 n 5 5040 n (n - 4) n ((n - 1) ) 8 n ((n - 1) ) - ---------------- + ----------------- - ----------------- n 8 19 n 5 19 n 5 n (n - 4) 9 (n - 1) (n ) 3 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 253 n ((n - 1) ) 1538 n ((n - 1) ) 5944 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 19 n 5 19 n 5 19 n 5 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 15152 n ((n - 1) ) 2832 n ((n - 1) ) 27296 n ((n - 1) ) - --------------------- + -------------------- - --------------------- 19 n 5 19 n 5 19 n 5 9 (n - 1) (n ) (n - 1) (n ) 9 (n - 1) (n ) 16 n 5 13 n n 5632 n ((n - 1) ) 610 n (n - 1) (n - 3) + -------------------- + ------------------------- 19 n 5 5 n 2 7 3 (n - 1) (n ) (n - 1) (n ) (n - 3) 12 n n 11 n n 6351 n (n - 1) (n - 3) 11046 n (n - 1) (n - 3) - -------------------------- + --------------------------- 5 n 2 7 5 n 2 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 77920 n (n - 1) (n - 3) 122120 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 40616 n (n - 1) (n - 3) 23232 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n n 5760 n (n - 1) (n - 3) 10 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 7 3 n 2 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n n 13 n n 347 n (n - 1) (n - 3) 572 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 9 3 n 2 9 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 14259 n (n - 1) (n - 3) 14602 n (n - 1) (n - 3) - --------------------------- + --------------------------- 3 n 2 9 3 n 2 9 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 119264 n (n - 1) (n - 3) 212804 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 237788 n (n - 1) (n - 3) 49968 n (n - 1) (n - 3) - --------------------------- + -------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n n 13440 n (n - 1) (n - 3) n (n - 1) (n - 3) - -------------------------- - -------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 11 n 10 n 9 n 2345 n (n - 4) 38581 n (n - 4) 107065 n (n - 4) - ----------------- + ------------------ - ------------------ n 10 n 10 n 10 2 n (n - 4) 4 n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 2449943 n (n - 4) 3203525 n (n - 4) 936013 n (n - 4) + ------------------- - ------------------- + ------------------ n 10 n 10 n 10 12 n (n - 4) 6 n (n - 4) n (n - 4) 5 n 4 n 3 n 1044330 n (n - 4) 664488 n (n - 4) 181440 n (n - 4) - ------------------- + ------------------ - ------------------ n 10 n 10 n 10 n (n - 4) n (n - 4) n (n - 4) 14 n 13 n 12 n n (n - 4) 25 n (n - 4) 367 n (n - 4) + --------------- - --------------- + ---------------- n 10 n 10 n 10 12 n (n - 4) 6 n (n - 4) 4 n (n - 4) 20 n 4 19 n 4 18 n 4 n ((n - 1) ) 11 n ((n - 1) ) 209 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 16 n 4 16 n 4 16 n 4 12 (n - 1) (n ) 6 (n - 1) (n ) 12 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 280 n ((n - 1) ) 926 n ((n - 1) ) 1936 n ((n - 1) ) + ------------------- - ------------------- + -------------------- 16 n 4 16 n 4 16 n 4 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 14 n 4 13 n 4 12 n 4 2500 n ((n - 1) ) 608 n ((n - 1) ) 192 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 16 n 4 16 n 4 16 n 4 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 14 n n (n - 2) n 5 (n - 2) n n (n - 1) (n - 2) + ------------- - ------------- - -------------------------- 6 n 6 n 5 n 2 6 6 (n - 2) n 2 (n - 2) n 18 (n - 1) (n ) (n - 2) 13 n n 12 n n 4 n (n - 1) (n - 2) 41 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 78 n (n - 1) (n - 2) 541 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 582 n (n - 1) (n - 2) 6802 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 1616 n (n - 1) (n - 2) 160 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 10 n 3 4 10 n 3 4 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 2 n 12 n 2 n 21 n ((n - 1) ) (n - 2) 5837 n ((n - 1) ) (n - 2) + --------------------------- + ----------------------------- 10 n 3 4 10 n 3 4 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 1986 n ((n - 1) ) (n - 2) 1152 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 3 4 10 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 15 n 2 n 288 n ((n - 1) ) (n - 2) 253 n ((n - 1) ) (n - 2) - --------------------------- - ---------------------------- 10 n 3 4 10 n 3 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 1925 n ((n - 1) ) (n - 2) 2395 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 10 n 3 4 10 n 3 4 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 6 8 n 3 6 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 49 n ((n - 1) ) (n - 2) 316 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 2559 n ((n - 1) ) (n - 2) 3369 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 17278 n ((n - 1) ) (n - 2) 18452 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 3712 n ((n - 1) ) (n - 2) 960 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n n (n - 1) (n - 3) 16 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 7 5 n 2 7 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n n 15 n 14 n 75 n (n - 1) (n - 3) 16 n (n - 5) 1841 n (n - 5) - ------------------------ - --------------- + ----------------- 5 n 2 7 n 11 n 11 (n - 1) (n ) (n - 3) 9 n (n - 5) 36 n (n - 5) 13 n 12 n 11 n 7871 n (n - 5) 118921 n (n - 5) 235466 n (n - 5) - ----------------- + ------------------- - ------------------- n 11 n 11 n 11 9 n (n - 5) 12 n (n - 5) 3 n (n - 5) 16 n 10 n 6 n n (n - 5) 16073123 n (n - 5) 52725628 n (n - 5) + --------------- + --------------------- + -------------------- n 11 n 11 n 11 36 n (n - 5) 36 n (n - 5) 3 n (n - 5) 5 n 8 n 9 n 17085824 n (n - 5) 49732144 n (n - 5) 16600463 n (n - 5) - -------------------- + -------------------- - -------------------- n 11 n 11 n 11 n (n - 5) 9 n (n - 5) 9 n (n - 5) 4 n 7 n 3 n 9706560 n (n - 5) 106516036 n (n - 5) 2419200 n (n - 5) + ------------------- - --------------------- - ------------------- n 11 n 11 n 11 n (n - 5) 9 n (n - 5) n (n - 5) 13 n 3 12 n 3 11 n 3 391 n ((n - 1) ) 535 n ((n - 1) ) 866 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 13 n 3 13 n 3 13 n 3 18 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 10 n 3 12 n 11 n 256 n ((n - 1) ) n (n - 3) 19 n (n - 3) + ------------------- + -------------- - --------------- 13 n 3 n 9 n 9 3 (n - 1) (n ) 36 n (n - 3) 18 n (n - 3) 10 n 9 n 8 n 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) + ---------------- - --------------- + ----------------- n 9 n 9 n 9 6 n (n - 3) 3 n (n - 3) 12 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 86458 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 6 n (n - 3) 9 n (n - 3) 9 n (n - 3) 4 n 3 n 12 n 4 10 n 7208 n (n - 3) 2240 n (n - 3) 32 n ((n - 1) ) n (n - 3) + ---------------- - ---------------- - ------------------ + ------------- n 9 n 9 14 n 4 n 7 n (n - 3) n (n - 3) (n - 1) (n ) 2 n (n - 3) 9 n 8 n 7 n 6 n 23 n (n - 3) 217 n (n - 3) 1085 n (n - 3) 1547 n (n - 3) - -------------- + --------------- - ---------------- + ---------------- n 7 n 7 n 7 n 7 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) n (n - 3) 5 n 4 n 3 n 2506 n (n - 3) 2124 n (n - 3) 720 n (n - 3) - ---------------- + ---------------- - --------------- n 7 n 7 n 7 n (n - 3) n (n - 3) n (n - 3) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 14 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 11 n 4 6 11 n 4 6 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 173 n ((n - 1) ) (n - 2) 414 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 3823 n ((n - 1) ) (n - 2) 5928 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 4 6 11 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 37492 n ((n - 1) ) (n - 2) 53008 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 48040 n ((n - 1) ) (n - 2) 8384 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 20 n 2 n 1920 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 11 n 4 6 8 n 3 7 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 17 n ((n - 1) ) (n - 3) 257 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 760 n ((n - 1) ) (n - 3) 8791 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 17397 n ((n - 1) ) (n - 3) 144196 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 277960 n ((n - 1) ) (n - 3) 366088 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 104464 n ((n - 1) ) (n - 3) 52224 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 11520 n ((n - 1) ) (n - 3) - ----------------------------- 8 n 3 7 (n - 1) (n ) (n - 3) and in Maple notation -32*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-1/12*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-\ 2)^n/(n-2)^4+13/6*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4-25*n^20*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4+337/2*n^19*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-2)^n/(n-2)^4+17632/3*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4-\ 5124*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4+2592*n^13*((n-1)^n)^3/(n -1)^13/(n^n)^4*(n-2)^n/(n-2)^4-576*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n -2)^4-2937/4*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4+2160*n^17*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4-13022/3*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^4+1/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5/6*n^ 19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+101/9*n^18*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-3)^n/(n-3)^5+38942/9*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3 )^5-23240/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+85900/9*n^12*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-7696*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-3)^n/(n-3)^5+3648*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-768*n^9 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-179/2*n^17*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-3)^n/(n-3)^5+5633/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^ 5-1699*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+1/2*n^16*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-19/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n -2)^6+149/2*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-625/2*n^13*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+757*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2) ^n/(n-2)^6-1058*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+788*n^10*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-240*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2 )^n/(n-2)^6-1/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+25/2*n^13*(n-1)^n/ (n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-263/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3 )^7+1519/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-2632*n^10*(n-1)^n/(n-1) ^3/(n^n)^2*(n-3)^n/(n-3)^7+5600*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-\ 7136*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+4968*n^7*(n-1)^n/(n-1)^3/(n^n) ^2*(n-3)^n/(n-3)^7-1440*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-512*n^15*(( n-1)^n)^5/(n-1)^19/(n^n)^5+1/36*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-5/9*n^15*((n-\ 1)^n)^3/(n-1)^13/(n^n)^3+169/36*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3-1/18*n^18*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+7/3*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^8-791/18*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1472/3*n^15*(n-1)^n/ (n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-21701/6*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^8+18537*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1218713/18*n^12*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+532406/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^8-2979368/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1284232/3*n^9*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-363672*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^8+181824*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-40320*n^6*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/36*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/ (n-2)^8+17/18*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-1/2*n^12*(n-1)^n /(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+17/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2 )^6-115/2*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+395/2*n^9*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-2)^n/(n-2)^6-362*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+334*n ^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-120*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2 )^n/(n-2)^6-251/18*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+353/3*n^19* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-2513/4*n^18*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-2)^n/(n-2)^8+13307/6*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-\ 47192/9*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+73796/9*n^15*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-73028/9*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 2)^n/(n-2)^8+4584*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-1120*n^12*(( n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+129/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-3)^n/(n-3)^9-2063/3*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+18835 /4*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-43463/2*n^15*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^9+206876/3*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n /(n-3)^9-150444*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+221132*n^12*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-625480/3*n^11*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-3)^n/(n-3)^9+113376*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-\ 26880*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+1/12*n^20*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-3)^n/(n-3)^9-7/2*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3) ^9-1/12*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-47961/4*n^14*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^10+72823*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 10-3734723/12*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+2826734/3*n^11*(n-1 )^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-6011564/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 4)^n/(n-4)^10+2916356*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-2753148*n^8* (n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+1510416*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n -4)^n/(n-4)^10-362880*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+13/3*n^17*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-1201/12*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 4)^n/(n-4)^10+1356*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-1/6*n^18*((n-1 )^n)^4/(n-1)^14/(n^n)^4+5/2*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-46/3*n^16*((n-1)^ n)^4/(n-1)^14/(n^n)^4+148/3*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-88*n^14*((n-1)^n) ^4/(n-1)^14/(n^n)^4+248/3*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/6/(n^n)*n^12*(n-4 )^n/(n-4)^8-11/2/(n^n)*n^11*(n-4)^n/(n-4)^8+78/(n^n)*n^10*(n-4)^n/(n-4)^8-623/( n^n)*n^9*(n-4)^n/(n-4)^8+6167/2/(n^n)*n^8*(n-4)^n/(n-4)^8-19579/2/(n^n)*n^7*(n-\ 4)^n/(n-4)^8+59671/3/(n^n)*n^6*(n-4)^n/(n-4)^8-24862/(n^n)*n^5*(n-4)^n/(n-4)^8+ 17268/(n^n)*n^4*(n-4)^n/(n-4)^8-5040/(n^n)*n^3*(n-4)^n/(n-4)^8+1/9*n^24*((n-1)^ n)^5/(n-1)^19/(n^n)^5-8/3*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+253/9*n^22*((n-1)^n )^5/(n-1)^19/(n^n)^5-1538/9*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+5944/9*n^20*((n-1 )^n)^5/(n-1)^19/(n^n)^5-15152/9*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+2832*n^18*((n -1)^n)^5/(n-1)^19/(n^n)^5-27296/9*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5+5632/3*n^16 *((n-1)^n)^5/(n-1)^19/(n^n)^5+610*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-\ 6351/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+11046*n^11*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^7-77920/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+ 122120/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-40616*n^8*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^7+23232*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-5760* n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+10/3*n^15*(n-1)^n/(n-1)^3/(n^n)^2*( n-3)^n/(n-3)^9-347/6*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+572*n^13*(n-1 )^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-14259/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^ n/(n-3)^9+14602*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-119264/3*n^10*(n-1 )^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+212804/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^ n/(n-3)^9-237788/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+49968*n^7*(n-1)^ n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-13440*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-\ 3)^9-1/12*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-2345/2/(n^n)*n^11*(n-4)^ n/(n-4)^10+38581/4/(n^n)*n^10*(n-4)^n/(n-4)^10-107065/2/(n^n)*n^9*(n-4)^n/(n-4) ^10+2449943/12/(n^n)*n^8*(n-4)^n/(n-4)^10-3203525/6/(n^n)*n^7*(n-4)^n/(n-4)^10+ 936013/(n^n)*n^6*(n-4)^n/(n-4)^10-1044330/(n^n)*n^5*(n-4)^n/(n-4)^10+664488/(n^ n)*n^4*(n-4)^n/(n-4)^10-181440/(n^n)*n^3*(n-4)^n/(n-4)^10+1/12/(n^n)*n^14*(n-4) ^n/(n-4)^10-25/6/(n^n)*n^13*(n-4)^n/(n-4)^10+367/4/(n^n)*n^12*(n-4)^n/(n-4)^10-\ 1/12*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^4+11/6*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^4-\ 209/12*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^4+280/3*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^ 4-926/3*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^4+1936/3*n^15*((n-1)^n)^4/(n-1)^16/(n^n )^4-2500/3*n^14*((n-1)^n)^4/(n-1)^16/(n^n)^4+608*n^13*((n-1)^n)^4/(n-1)^16/(n^n )^4-192*n^12*((n-1)^n)^4/(n-1)^16/(n^n)^4+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*( n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^ n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-1/18*n^14*(n -1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+4/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/ (n-2)^6-41/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+78*n^11*(n-1)^n/(n-1) ^5/(n^n)^2*(n-2)^n/(n-2)^6-541/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+ 582*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-6802/9*n^8*(n-1)^n/(n-1)^5/(n^n )^2*(n-2)^n/(n-2)^6+1616/3*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-160*n^6* (n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+1/12*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^4-2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+21*n^16*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+5837/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-2)^n/(n-2)^4-1986*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+1152 *n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-288*n^9*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-2)^n/(n-2)^4-253/2*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^ 4+1925/4*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-2395/2*n^13*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+1/6*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2) ^n/(n-2)^6-13/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+49*n^16*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-316*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^6+2559/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-3369*n^13*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+17278/3*n^12*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^6-18452/3*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+ 3712*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-960*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^6-1/6*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+16/ 3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-75*n^14*(n-1)^n/(n-1)^5/(n^n)^2* (n-3)^n/(n-3)^7-16/9/(n^n)*n^15*(n-5)^n/(n-5)^11+1841/36/(n^n)*n^14*(n-5)^n/(n-\ 5)^11-7871/9/(n^n)*n^13*(n-5)^n/(n-5)^11+118921/12/(n^n)*n^12*(n-5)^n/(n-5)^11-\ 235466/3/(n^n)*n^11*(n-5)^n/(n-5)^11+1/36/(n^n)*n^16*(n-5)^n/(n-5)^11+16073123/ 36/(n^n)*n^10*(n-5)^n/(n-5)^11+52725628/3/(n^n)*n^6*(n-5)^n/(n-5)^11-17085824/( n^n)*n^5*(n-5)^n/(n-5)^11+49732144/9/(n^n)*n^8*(n-5)^n/(n-5)^11-16600463/9/(n^n )*n^9*(n-5)^n/(n-5)^11+9706560/(n^n)*n^4*(n-5)^n/(n-5)^11-106516036/9/(n^n)*n^7 *(n-5)^n/(n-5)^11-2419200/(n^n)*n^3*(n-5)^n/(n-5)^11-391/18*n^13*((n-1)^n)^3/(n -1)^13/(n^n)^3+535/9*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^3-866/9*n^11*((n-1)^n)^3/( n-1)^13/(n^n)^3+256/3*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/36/(n^n)*n^12*(n-3)^n /(n-3)^9-19/18/(n^n)*n^11*(n-3)^n/(n-3)^9+103/6/(n^n)*n^10*(n-3)^n/(n-3)^9-469/ 3/(n^n)*n^9*(n-3)^n/(n-3)^9+10507/12/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/6/(n^n)*n^ 7*(n-3)^n/(n-3)^9+63173/9/(n^n)*n^6*(n-3)^n/(n-3)^9-86458/9/(n^n)*n^5*(n-3)^n/( n-3)^9+7208/(n^n)*n^4*(n-3)^n/(n-3)^9-2240/(n^n)*n^3*(n-3)^n/(n-3)^9-32*n^12*(( n-1)^n)^4/(n-1)^14/(n^n)^4+1/2/(n^n)*n^10*(n-3)^n/(n-3)^7-23/2/(n^n)*n^9*(n-3)^ n/(n-3)^7+217/2/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/2/(n^n)*n^7*(n-3)^n/(n-3)^7+1547 /(n^n)*n^6*(n-3)^n/(n-3)^7-2506/(n^n)*n^5*(n-3)^n/(n-3)^7+2124/(n^n)*n^4*(n-3)^ n/(n-3)^7-720/(n^n)*n^3*(n-3)^n/(n-3)^7-1/6*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*( n-2)^n/(n-2)^6+14/3*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-173/3*n^ 20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+414*n^19*((n-1)^n)^3/(n-1)^11/( n^n)^4*(n-2)^n/(n-2)^6-3823/2*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6 +5928*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-37492/3*n^16*((n-1)^n)^ 3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+53008/3*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -2)^n/(n-2)^6-48040/3*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+8384*n^ 13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-1920*n^12*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-2)^n/(n-2)^6+1/6*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-17 /3*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+257/3*n^18*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^7-760*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^ 7+8791/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-17397*n^15*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+144196/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^7-277960/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+366088/3 *n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-104464*n^11*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^7+52224*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3) ^7-11520*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7 The, 3, 3, mixed moment of, X[2], and , X[4], is 12 n 4 20 n 4 n 128 n ((n - 1) ) 160560 n ((n - 1) ) (n - 2) - ------------------- + ------------------------------- 18 n 4 16 n 5 6 (n - 1) (n ) (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 247612 n ((n - 1) ) (n - 2) 62784 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 683882 n ((n - 1) ) (n - 2) 11520 n ((n - 1) ) (n - 2) - ------------------------------- - ------------------------------ 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 43 n ((n - 1) ) (n - 3) 141 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 13 n 4 7 13 n 4 7 24 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 23 n 3 n 26 n 3 n 5047 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 13 n 4 7 13 n 4 7 12 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 81593 n ((n - 1) ) (n - 3) 157545 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 13 n 4 7 13 n 4 7 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 252871 n ((n - 1) ) (n - 3) 1624583 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 655784 n ((n - 1) ) (n - 3) 3573962 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 4791632 n ((n - 1) ) (n - 3) 1531576 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 992160 n ((n - 1) ) (n - 3) 388224 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 21 n 2 n 69120 n ((n - 1) ) (n - 3) 5689 n ((n - 1) ) (n - 4) - ------------------------------ - ----------------------------- 13 n 4 7 10 n 3 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 166165 n ((n - 1) ) (n - 4) 129801 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 72 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 6126353 n ((n - 1) ) (n - 4) 8133547 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 37201591 n ((n - 1) ) (n - 4) 7234936 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 36 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 38436028 n ((n - 1) ) (n - 4) 5632466 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 5351516 n ((n - 1) ) (n - 4) 3454608 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 1353024 n ((n - 1) ) (n - 4) 241920 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------ 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 10 n 3 8 10 n 3 8 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 22 n 2 n 28 n 4 n 1195 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + ----------------------------- + --------------------------- 10 n 3 8 14 n 5 8 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 43 n ((n - 1) ) (n - 2) 139 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 5 8 14 n 5 8 72 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 4831 n ((n - 1) ) (n - 2) 74609 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 8 14 n 5 8 36 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 135193 n ((n - 1) ) (n - 2) 399263 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 14 n 5 8 14 n 5 8 24 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 1153199 n ((n - 1) ) (n - 2) 407206 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 14 n 5 8 14 n 5 8 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 1874906 n ((n - 1) ) (n - 2) 2025608 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 14 n 5 8 14 n 5 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 486008 n ((n - 1) ) (n - 2) 69568 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 14 n 5 8 14 n 5 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 3 n 13440 n ((n - 1) ) (n - 2) 1002451 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 14 n 5 8 11 n 4 9 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1210421 n ((n - 1) ) (n - 3) 1449101 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 11 n 4 9 11 n 4 9 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 5834414 n ((n - 1) ) (n - 3) 11647850 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 5674952 n ((n - 1) ) (n - 3) 17662888 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 4096768 n ((n - 1) ) (n - 3) 1709952 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 26 n 3 n 322560 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------- - --------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 17 n ((n - 1) ) (n - 3) 589 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 11 n 4 9 11 n 4 9 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 8167 n ((n - 1) ) (n - 3) 50635 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 11 n 4 9 11 n 4 9 12 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 35 n ((n - 1) ) (n - 2) 70 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 18 n 5 4 18 n 5 4 72 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 25 n 4 n 28 n 4 n 2711 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 18 n 5 4 18 n 5 4 36 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 3937 n ((n - 1) ) (n - 2) 54997 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 18 n 5 4 18 n 5 4 8 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 281491 n ((n - 1) ) (n - 2) 149092 n ((n - 1) ) (n - 2) + ------------------------------- + ------------------------------- 18 n 5 4 18 n 5 4 36 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 32592 n ((n - 1) ) (n - 2) 12864 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 18 n 5 4 18 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 4 n 2304 n ((n - 1) ) (n - 2) 178088 n ((n - 1) ) (n - 2) - ----------------------------- - ------------------------------- 18 n 5 4 18 n 5 4 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 334076 n ((n - 1) ) (n - 2) 458542 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 5 4 18 n 5 4 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 1277 n ((n - 1) ) (n - 3) 57121 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 15 n 4 5 15 n 4 5 36 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 21 n 3 n 26 n 3 n 102241 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 72 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 13 n ((n - 1) ) (n - 3) 175 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 15 n 4 5 15 n 4 5 72 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 598282 n ((n - 1) ) (n - 3) 2281444 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 694144 n ((n - 1) ) (n - 3) 47744 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 17920 n ((n - 1) ) (n - 3) 3072 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 611473 n ((n - 1) ) (n - 3) 153193 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 108 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 3 n 27 n 4 n 1046428 n ((n - 1) ) (n - 3) 37 n ((n - 1) ) (n - 2) - -------------------------------- - --------------------------- 15 n 4 5 16 n 5 6 27 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 26 n ((n - 1) ) (n - 2) 3175 n ((n - 1) ) (n - 2) + --------------------------- - ----------------------------- 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 43493 n ((n - 1) ) (n - 2) 70559 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 5 6 16 n 5 6 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 28 n 4 n 22 n 4 n n ((n - 1) ) (n - 2) 376453 n ((n - 1) ) (n - 2) + --------------------------- + ------------------------------- 16 n 5 6 16 n 5 6 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 688340 n ((n - 1) ) (n - 2) 154896 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 9 n 4 11 9 n 4 11 216 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 223 n ((n - 1) ) (n - 3) 15031 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 9 n 4 11 9 n 4 11 27 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 37381 n ((n - 1) ) (n - 3) 2642959 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 9 n 4 11 9 n 4 11 24 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 7510921 n ((n - 1) ) (n - 3) 5227783 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 108 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 24178253 n ((n - 1) ) (n - 3) 54782486 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 4 11 9 n 4 11 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 29938276 n ((n - 1) ) (n - 3) 103348024 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 8767568 n ((n - 1) ) (n - 3) 3974720 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n n 17 n n 689521 n (n - 1) (n - 5) 6899227 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 72 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 16 n n 15 n n 51534905 n (n - 1) (n - 5) 293087663 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 5 n 2 11 5 n 2 11 72 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 14 n n 19 n n 641130325 n (n - 1) (n - 5) 49741 n (n - 1) (n - 5) - ------------------------------- + --------------------------- 5 n 2 11 5 n 2 11 36 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 13 n n 9 n n 541078054 n (n - 1) (n - 5) 477907344 n (n - 1) (n - 5) + ------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 342101568 n (n - 1) (n - 5) 2770176382 n (n - 1) (n - 5) - ------------------------------ + -------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 1404134032 n (n - 1) (n - 5) 147928320 n (n - 1) (n - 5) - -------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 1356715772 n (n - 1) (n - 5) 29030400 n (n - 1) (n - 5) - -------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 23 n 2 n 22 n 2 n 61 n ((n - 1) ) (n - 4) 565 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 8 n 3 10 8 n 3 10 24 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 21 n 2 n 17 n 2 n 28457 n ((n - 1) ) (n - 4) 71093411 n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------------- 8 n 3 10 8 n 3 10 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 40647417 n ((n - 1) ) (n - 4) 79378283 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 4 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 155571668 n ((n - 1) ) (n - 4) 75103258 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 77765508 n ((n - 1) ) (n - 4) 54306144 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 22842432 n ((n - 1) ) (n - 4) 4354560 n ((n - 1) ) (n - 4) + --------------------------------- - ------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 322805 n ((n - 1) ) (n - 4) 873573 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 10 8 n 3 10 24 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 18 n 2 n 24 n 2 n 15731093 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + --------------------------------- + --------------------------- 8 n 3 10 8 n 3 10 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 149 n ((n - 1) ) (n - 2) 625 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 757 n ((n - 1) ) (n - 2) 1058 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 788 n ((n - 1) ) (n - 2) 240 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n n (n - 1) (n - 3) 25 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 263 n (n - 1) (n - 3) 1519 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 2632 n (n - 1) (n - 3) 5600 n (n - 1) (n - 3) - -------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 7136 n (n - 1) (n - 3) 4968 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n 5 1440 n (n - 1) (n - 3) 384 n ((n - 1) ) - ------------------------- - ------------------- 3 n 2 7 19 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) 18 n n 17 n n n (n - 1) (n - 4) 7 n (n - 1) (n - 4) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 16 n n 15 n n 791 n (n - 1) (n - 4) 736 n (n - 1) (n - 4) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 21701 n (n - 1) (n - 4) 55611 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 4 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n n 11 n n 1218713 n (n - 1) (n - 4) 266203 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 1489684 n (n - 1) (n - 4) 642116 n (n - 1) (n - 4) - ----------------------------- + --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 545508 n (n - 1) (n - 4) 272736 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 22 n 3 n 60480 n (n - 1) (n - 4) n ((n - 1) ) (n - 2) - -------------------------- - -------------------------- 5 n 2 8 9 n 4 8 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 2) 21 n 3 n 12 n n 17 n ((n - 1) ) (n - 2) n (n - 1) (n - 2) + --------------------------- - ------------------------- 9 n 4 8 3 n 2 6 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 11 n n 10 n n 17 n (n - 1) (n - 2) 115 n (n - 1) (n - 2) + ------------------------- - ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 395 n (n - 1) (n - 2) 362 n (n - 1) (n - 2) + ------------------------- - ------------------------ 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 334 n (n - 1) (n - 2) 120 n (n - 1) (n - 2) + ------------------------ - ------------------------ 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 251 n ((n - 1) ) (n - 2) 353 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 9 n 4 8 9 n 4 8 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 7539 n ((n - 1) ) (n - 2) 13307 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 9 n 4 8 9 n 4 8 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 47192 n ((n - 1) ) (n - 2) 73796 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 73028 n ((n - 1) ) (n - 2) 13752 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 18 n 2 n 3360 n ((n - 1) ) (n - 2) 387 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 9 n 4 8 6 n 3 9 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 2063 n ((n - 1) ) (n - 3) 56505 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 130389 n ((n - 1) ) (n - 3) 206876 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 451332 n ((n - 1) ) (n - 3) 663396 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 625480 n ((n - 1) ) (n - 3) 340128 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 80640 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 19 n 2 n 18 n n 21 n ((n - 1) ) (n - 3) n (n - 1) (n - 4) - --------------------------- - -------------------------- 6 n 3 9 3 n 2 10 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 14 n n 13 n n 143883 n (n - 1) (n - 4) 218469 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 3734723 n (n - 1) (n - 4) 2826734 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 10 3 n 2 10 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 6011564 n (n - 1) (n - 4) 8749068 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 8259444 n (n - 1) (n - 4) 4531248 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 1088640 n (n - 1) (n - 4) 13 n (n - 1) (n - 4) - ---------------------------- + ------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 1201 n (n - 1) (n - 4) 4068 n (n - 1) (n - 4) - -------------------------- + -------------------------- 3 n 2 10 3 n 2 10 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 17 n 4 16 n 4 n ((n - 1) ) 5 n ((n - 1) ) 46 n ((n - 1) ) - ----------------- + ----------------- - ------------------ 14 n 4 14 n 4 14 n 4 6 (n - 1) (n ) 2 (n - 1) (n ) 3 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 148 n ((n - 1) ) 88 n ((n - 1) ) 248 n ((n - 1) ) + ------------------- - ------------------ + ------------------- 14 n 4 14 n 4 14 n 4 3 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 12 n 11 n 10 n 9 n n (n - 4) 11 n (n - 4) 78 n (n - 4) 623 n (n - 4) + ------------- - --------------- + --------------- - --------------- n 8 n 8 n 8 n 8 6 n (n - 4) 2 n (n - 4) n (n - 4) n (n - 4) 8 n 7 n 6 n 6167 n (n - 4) 19579 n (n - 4) 59671 n (n - 4) + ---------------- - ----------------- + ----------------- n 8 n 8 n 8 2 n (n - 4) 2 n (n - 4) 3 n (n - 4) 5 n 4 n 3 n 24862 n (n - 4) 17268 n (n - 4) 5040 n (n - 4) - ----------------- + ----------------- - ---------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 2 n ((n - 1) ) 253 n ((n - 1) ) + ------------------ - ----------------- + ------------------- 19 n 5 19 n 5 19 n 5 12 (n - 1) (n ) (n - 1) (n ) 12 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 769 n ((n - 1) ) 1486 n ((n - 1) ) 3788 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 19 n 5 19 n 5 19 n 5 6 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 2124 n ((n - 1) ) 6824 n ((n - 1) ) 1408 n ((n - 1) ) + -------------------- - -------------------- + -------------------- 19 n 5 19 n 5 19 n 5 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 13 n n 12 n n 915 n (n - 1) (n - 3) 19053 n (n - 1) (n - 3) + ------------------------- - --------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 16569 n (n - 1) (n - 3) 38960 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 61060 n (n - 1) (n - 3) 60924 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 34848 n (n - 1) (n - 3) 8640 n (n - 1) (n - 3) + -------------------------- - ------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 10 n (n - 1) (n - 3) 347 n (n - 1) (n - 3) + ------------------------ - ------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 1716 n (n - 1) (n - 3) 42777 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 43806 n (n - 1) (n - 3) 119264 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 212804 n (n - 1) (n - 3) 237788 n (n - 1) (n - 3) + --------------------------- - --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 149904 n (n - 1) (n - 3) 40320 n (n - 1) (n - 3) + --------------------------- - -------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 20 n 19 n n (n - 1) (n - 3) n (n - 6) 35 n (n - 6) - ------------------------- + ---------------- - --------------- 3 n 2 9 n 14 n 14 4 (n - 1) (n ) (n - 3) 216 n (n - 6) 72 n (n - 6) 18 n 17 n 15 n 47 n (n - 6) 4165 n (n - 6) 2464735 n (n - 6) + --------------- - ----------------- - -------------------- n 14 n 14 n 14 2 n (n - 6) 6 n (n - 6) 12 n (n - 6) 14 n 13 n 121893733 n (n - 6) 341916575 n (n - 6) + ---------------------- - ---------------------- n 14 n 14 54 n (n - 6) 18 n (n - 6) 12 n 11 n 16 n 2971219537 n (n - 6) 15068478425 n (n - 6) 504797 n (n - 6) + ----------------------- - ------------------------ + ------------------- n 14 n 14 n 14 24 n (n - 6) 24 n (n - 6) 36 n (n - 6) 10 n 6 n 22274819242 n (n - 6) 37160736024 n (n - 6) + ------------------------ + ----------------------- n 14 n 14 9 n (n - 6) n (n - 6) 5 n 8 n 30941432480 n (n - 6) 471031737548 n (n - 6) - ----------------------- + ------------------------ n 14 n 14 n (n - 6) 27 n (n - 6) 9 n 4 n 22592523590 n (n - 6) 15441168000 n (n - 6) - ----------------------- + ----------------------- n 14 n 14 3 n (n - 6) n (n - 6) 7 n 3 n 270628124410 n (n - 6) 3459456000 n (n - 6) - ------------------------ - ---------------------- n 14 n 14 9 n (n - 6) n (n - 6) 10 n 2 n 9 n 2 n 176832 n ((n - 1) ) (n - 3) 34560 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 123557 n ((n - 1) ) (n - 3) 251779 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 9 8 n 3 9 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 1665505 n ((n - 1) ) (n - 3) 1340899 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 12 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 10 n 9 n 7035 n (n - 4) 115743 n (n - 4) 321195 n (n - 4) - ----------------- + ------------------- - ------------------ n 10 n 10 n 10 2 n (n - 4) 4 n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 2449943 n (n - 4) 3203525 n (n - 4) 2808039 n (n - 4) + ------------------- - ------------------- + ------------------- n 10 n 10 n 10 4 n (n - 4) 2 n (n - 4) n (n - 4) 5 n 4 n 3 n 3132990 n (n - 4) 1993464 n (n - 4) 544320 n (n - 4) - ------------------- + ------------------- - ------------------ n 10 n 10 n 10 n (n - 4) n (n - 4) n (n - 4) 14 n 13 n 12 n n (n - 4) 25 n (n - 4) 1101 n (n - 4) + -------------- - --------------- + ----------------- n 10 n 10 n 10 4 n (n - 4) 2 n (n - 4) 4 n (n - 4) 26 n 5 25 n 5 24 n 5 n ((n - 1) ) 31 n ((n - 1) ) 433 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 21 n 5 21 n 5 21 n 5 72 (n - 1) (n ) 72 (n - 1) (n ) 72 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 1199 n ((n - 1) ) 1097 n ((n - 1) ) 3134 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 21 n 5 21 n 5 21 n 5 24 (n - 1) (n ) 4 (n - 1) (n ) 3 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 25360 n ((n - 1) ) 48442 n ((n - 1) ) 64228 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 21 n 5 21 n 5 21 n 5 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 17 n 5 16 n 5 18 n 6256 n ((n - 1) ) 3264 n ((n - 1) ) n (n - 5) - -------------------- + -------------------- + --------------- 21 n 5 21 n 5 n 13 (n - 1) (n ) (n - 1) (n ) 72 n (n - 5) 17 n 15 n 14 n 29 n (n - 5) 27425 n (n - 5) 1323907 n (n - 5) - --------------- - ------------------ + -------------------- n 13 n 13 n 13 24 n (n - 5) 24 n (n - 5) 72 n (n - 5) 13 n 12 n 11 n 5062343 n (n - 5) 128154455 n (n - 5) 269687275 n (n - 5) - -------------------- + ---------------------- - ---------------------- n 13 n 13 n 13 24 n (n - 5) 72 n (n - 5) 24 n (n - 5) 16 n 10 n 6 n 3445 n (n - 5) 480977926 n (n - 5) 1361304072 n (n - 5) + ----------------- + ---------------------- + ---------------------- n 13 n 13 n 13 72 n (n - 5) 9 n (n - 5) n (n - 5) 5 n 8 n 9 n 1240499424 n (n - 5) 4586344360 n (n - 5) 573602744 n (n - 5) - ---------------------- + ---------------------- - --------------------- n 13 n 13 n 13 n (n - 5) 9 n (n - 5) 3 n (n - 5) 4 n 7 n 3 n 668453760 n (n - 5) 2975326250 n (n - 5) 159667200 n (n - 5) + --------------------- - ---------------------- - --------------------- n 13 n 13 n 13 n (n - 5) 3 n (n - 5) n (n - 5) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 15 n 4 4 15 n 4 4 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 247 n ((n - 1) ) (n - 2) 739 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 15 n 4 4 15 n 4 4 36 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 8855 n ((n - 1) ) (n - 2) 12429 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 15 n 4 4 15 n 4 4 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 54494 n ((n - 1) ) (n - 2) 13368 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 4 4 15 n 4 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 5856 n ((n - 1) ) (n - 2) 1152 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 15 n 4 4 15 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 84815 n ((n - 1) ) (n - 2) 31091 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 4 4 15 n 4 4 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 3 n 24 n 3 n 147530 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------- - --------------------------- 15 n 4 4 13 n 4 6 9 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 35 n ((n - 1) ) (n - 2) 277 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 13 n 4 6 13 n 4 6 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 2621 n ((n - 1) ) (n - 2) 11003 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 6 13 n 4 6 12 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 48553 n ((n - 1) ) (n - 2) 115397 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 13 n 4 6 13 n 4 6 8 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 132215 n ((n - 1) ) (n - 2) 217250 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 6 13 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 249382 n ((n - 1) ) (n - 2) 63192 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 13 n 4 6 13 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 28512 n ((n - 1) ) (n - 2) 5760 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 4 6 13 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 41 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 7 10 n 3 7 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 191 n ((n - 1) ) (n - 3) 4283 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 6 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 21487 n ((n - 1) ) (n - 3) 114571 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 10 n 3 7 10 n 3 7 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 667771 n ((n - 1) ) (n - 3) 478406 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 12 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1010540 n ((n - 1) ) (n - 3) 1552882 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 561956 n ((n - 1) ) (n - 3) 407664 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 9 n n 185862479 n (n - 1) (n - 4) 190062842 n (n - 1) (n - 4) + ------------------------------- + ------------------------------ 3 n 2 12 3 n 2 12 72 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 55821316 n (n - 1) (n - 4) 222966326 n (n - 1) (n - 4) - ----------------------------- + ------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n n 7 n n 112051907 n (n - 1) (n - 4) 28961040 n (n - 1) (n - 4) - ------------------------------- + ----------------------------- 3 n 2 12 3 n 2 12 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 267 n (n - 1) (n - 4) 73 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 12 3 n 2 12 8 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 17 n n 15 n n 47213 n (n - 1) (n - 4) 1895113 n (n - 1) (n - 4) + --------------------------- + ----------------------------- 3 n 2 12 3 n 2 12 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 14 n n 16 n n 37913249 n (n - 1) (n - 4) 617705 n (n - 1) (n - 4) - ------------------------------ - ---------------------------- 3 n 2 12 3 n 2 12 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 10 n n 6 n n 426630956 n (n - 1) (n - 4) 6652800 n (n - 1) (n - 4) - ------------------------------- - ---------------------------- 3 n 2 12 3 n 2 12 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n n 12 n 3 n n (n - 1) (n - 4) 268800 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 3 n 2 12 9 n 4 11 72 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 16 n 2 n 12 n 2 n 130504550 n ((n - 1) ) (n - 4) 547589632 n ((n - 1) ) (n - 4) + ---------------------------------- + ---------------------------------- 6 n 3 12 6 n 3 12 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 14 n 2 n 140603672 n ((n - 1) ) (n - 4) 96951512 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 6 n 3 12 6 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 10 n 2 n 782088373 n ((n - 1) ) (n - 4) 64574880 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 6 n 3 12 6 n 3 12 18 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 22 n 2 n 52019 n ((n - 1) ) (n - 4) 2549 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 6 n 3 12 6 n 3 12 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 20 n 2 n 18 n 2 n 237377 n ((n - 1) ) (n - 4) 49283927 n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------------- 6 n 3 12 6 n 3 12 24 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 29076553 n ((n - 1) ) (n - 4) 6920749 n ((n - 1) ) (n - 4) - --------------------------------- - -------------------------------- 6 n 3 12 6 n 3 12 8 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 1423450438 n ((n - 1) ) (n - 4) 13305600 n ((n - 1) ) (n - 4) - ----------------------------------- - -------------------------------- 6 n 3 12 6 n 3 12 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 2 n 10 n n ((n - 1) ) (n - 4) 28671863 n (n - 4) + --------------------------- + --------------------- 6 n 3 12 n 12 72 (n - 1) (n ) (n - 4) 216 n (n - 4) 6 n 5 n 8 n 62778424 n (n - 4) 21501998 n (n - 4) 51909242 n (n - 4) + -------------------- - -------------------- + -------------------- n 12 n 12 n 12 9 n (n - 4) 3 n (n - 4) 27 n (n - 4) 9 n 4 n 15 n 128518753 n (n - 4) 4272440 n (n - 4) 71 n (n - 4) - --------------------- + ------------------- - ---------------- n 12 n 12 n 12 216 n (n - 4) n (n - 4) 216 n (n - 4) 16 n 14 n 12 n n (n - 4) 2261 n (n - 4) 59147 n (n - 4) + ---------------- + ----------------- + ------------------ n 12 n 12 n 12 216 n (n - 4) 216 n (n - 4) 24 n (n - 4) 11 n 13 n 7 n 1540231 n (n - 4) 42691 n (n - 4) 119147842 n (n - 4) - -------------------- - ------------------ - --------------------- n 12 n 12 n 12 72 n (n - 4) 216 n (n - 4) 27 n (n - 4) 3 n n 6 n 5 n 4 1108800 n (n - 4) 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n - ------------------- + -------------- - -------------- + --------------- n 12 6 n 6 n 6 n n (n - 4) 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n n 3 n 8 n 7 20 (n - 2) n (n - 2) n 5 (n - 2) n - -------------- + ------------- - ------------- 6 n 6 n 6 n (n - 2) n 6 (n - 2) n 2 (n - 2) n 23 n 2 n 11 n n 25 n ((n - 1) ) (n - 4) 18098667470 n (n - 1) (n - 5) - --------------------------- + --------------------------------- 6 n 3 12 3 n 2 13 24 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 8027960824 n (n - 1) (n - 5) 1496574720 n (n - 1) (n - 5) - -------------------------------- + ------------------------------- 3 n 2 13 3 n 2 13 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 10034564716 n (n - 1) (n - 5) 319334400 n (n - 1) (n - 5) - --------------------------------- - ------------------------------ 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 1050872 n ((n - 1) ) (n - 3) 5342618 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 6339620 n ((n - 1) ) (n - 3) 1661216 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 774336 n ((n - 1) ) (n - 3) 161280 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 9 8 n 3 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 45 n ((n - 1) ) (n - 3) 7087 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 2) 2 n (n - 1) (n - 2) - -------------------------- + ----------------------- 5 n 2 6 5 n 2 6 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 41 n (n - 1) (n - 2) 117 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 1623 n (n - 1) (n - 2) 873 n (n - 1) (n - 2) - -------------------------- + ------------------------ 5 n 2 6 5 n 2 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 3401 n (n - 1) (n - 2) 808 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 18 n 2 n 240 n (n - 1) (n - 2) n ((n - 1) ) (n - 2) - ------------------------ + ------------------------- 5 n 2 6 8 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 13 n ((n - 1) ) (n - 2) 147 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 474 n ((n - 1) ) (n - 2) 7677 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 10107 n ((n - 1) ) (n - 2) 8639 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 8 n 3 6 8 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 9226 n ((n - 1) ) (n - 2) 5568 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n n 1440 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ---------------------------- - ------------------------- 8 n 3 6 5 n 2 7 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 15 n n 14 n n 8 n (n - 1) (n - 3) 225 n (n - 1) (n - 3) + ----------------------- - ------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 30 n 6 29 n 6 28 n 6 5 n ((n - 1) ) 55 n ((n - 1) ) 275 n ((n - 1) ) - ------------------- + ------------------ - ------------------- 24 n 6 24 n 6 24 n 6 216 (n - 1) (n ) 72 (n - 1) (n ) 24 (n - 1) (n ) 27 n 6 26 n 6 25 n 6 22315 n ((n - 1) ) 11225 n ((n - 1) ) 47795 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 24 n 6 24 n 6 24 n 6 216 (n - 1) (n ) 18 (n - 1) (n ) 18 (n - 1) (n ) 24 n 6 23 n 6 22 n 6 220820 n ((n - 1) ) 55090 n ((n - 1) ) 268520 n ((n - 1) ) - ---------------------- + --------------------- - ---------------------- 24 n 6 24 n 6 24 n 6 27 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 21 n 6 20 n 6 19 n 6 923800 n ((n - 1) ) 78880 n ((n - 1) ) 12160 n ((n - 1) ) + ---------------------- - --------------------- + --------------------- 24 n 6 24 n 6 24 n 6 27 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 15 n 14 n 13 n 16 n (n - 5) 1841 n (n - 5) 7871 n (n - 5) - --------------- + ----------------- - ----------------- n 11 n 11 n 11 3 n (n - 5) 12 n (n - 5) 3 n (n - 5) 12 n 11 n 16 n 118921 n (n - 5) 235466 n (n - 5) n (n - 5) + ------------------- - ------------------- + --------------- n 11 n 11 n 11 4 n (n - 5) n (n - 5) 12 n (n - 5) 10 n 6 n 5 n 16073123 n (n - 5) 52725628 n (n - 5) 51257472 n (n - 5) + --------------------- + -------------------- - -------------------- n 11 n 11 n 11 12 n (n - 5) n (n - 5) n (n - 5) 8 n 9 n 4 n 49732144 n (n - 5) 16600463 n (n - 5) 29119680 n (n - 5) + -------------------- - -------------------- + -------------------- n 11 n 11 n 11 3 n (n - 5) 3 n (n - 5) n (n - 5) 7 n 3 n 12 n 106516036 n (n - 5) 7257600 n (n - 5) n (n - 3) - --------------------- - ------------------- + -------------- n 11 n 11 n 9 3 n (n - 5) n (n - 5) 12 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 6 n (n - 3) 2 n (n - 3) n (n - 3) 4 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 86458 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 2 n (n - 3) 3 n (n - 3) 3 n (n - 3) 4 n 3 n 15 n 5 21624 n (n - 3) 6720 n (n - 3) 768 n ((n - 1) ) + ----------------- - ---------------- - ------------------- n 9 n 9 21 n 5 n (n - 3) n (n - 3) (n - 1) (n ) 12 n 4 20 n 2 n 32 n ((n - 1) ) n ((n - 1) ) (n - 2) - ------------------ + --------------------------- 14 n 4 10 n 3 6 (n - 1) (n ) 72 (n - 1) (n ) (n - 2) 20 n n 19 n n n (n - 1) (n - 4) 59 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 18 n n 14 n n 1577 n (n - 1) (n - 4) 11578451 n (n - 1) (n - 4) - --------------------------- - ------------------------------ 5 n 2 10 5 n 2 10 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 12 n n 47936509 n (n - 1) (n - 4) 37002871 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 10 5 n 2 10 24 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 11 n n 10 n n 42375412 n (n - 1) (n - 4) 23606948 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 27889362 n (n - 1) (n - 4) 21986784 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 10332576 n (n - 1) (n - 4) 2177280 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 16 n n 25303 n (n - 1) (n - 4) 90733 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 10 5 n 2 10 24 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n n 21 n n 692107 n (n - 1) (n - 4) 73 n (n - 1) (n - 5) + ---------------------------- + --------------------------- 5 n 2 10 5 n 2 11 8 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 5) 20 n n 22 n n 2443 n (n - 1) (n - 5) n (n - 1) (n - 5) - --------------------------- - --------------------------- 5 n 2 11 5 n 2 11 72 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 10 n 9 n 8 n 7 n n (n - 3) 23 n (n - 3) 217 n (n - 3) 1085 n (n - 3) + ------------- - -------------- + --------------- - ---------------- n 7 n 7 n 7 n 7 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 2 n (n - 3) 6 n 5 n 4 n 3 n 1547 n (n - 3) 2506 n (n - 3) 2124 n (n - 3) 720 n (n - 3) + ---------------- - ---------------- + ---------------- - --------------- n 7 n 7 n 7 n 7 n (n - 3) n (n - 3) n (n - 3) n (n - 3) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - -------------------------- + -------------------------- 11 n 4 6 11 n 4 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 173 n ((n - 1) ) (n - 2) 621 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 11 n 4 6 11 n 4 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 11469 n ((n - 1) ) (n - 2) 8892 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 11 n 4 6 11 n 4 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 18746 n ((n - 1) ) (n - 2) 26504 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 24020 n ((n - 1) ) (n - 2) 12576 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 20 n 2 n 2880 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 11 n 4 6 8 n 3 7 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 17 n ((n - 1) ) (n - 3) 257 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 1140 n ((n - 1) ) (n - 3) 26373 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 52191 n ((n - 1) ) (n - 3) 72098 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 8 n 3 7 8 n 3 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 138980 n ((n - 1) ) (n - 3) 183044 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 156696 n ((n - 1) ) (n - 3) 78336 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 22 n 4 17280 n ((n - 1) ) (n - 3) n ((n - 1) ) - ----------------------------- - ------------------- 8 n 3 7 18 n 4 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) 21 n 4 20 n 4 19 n 4 29 n ((n - 1) ) 125 n ((n - 1) ) 949 n ((n - 1) ) + ------------------- - ------------------- + ------------------- 18 n 4 18 n 4 18 n 4 216 (n - 1) (n ) 72 (n - 1) (n ) 72 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 1171 n ((n - 1) ) 1963 n ((n - 1) ) 13582 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 18 n 4 18 n 4 18 n 4 18 (n - 1) (n ) 9 (n - 1) (n ) 27 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 21278 n ((n - 1) ) 2408 n ((n - 1) ) 480 n ((n - 1) ) + --------------------- - -------------------- + ------------------- 18 n 4 18 n 4 18 n 4 27 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 22 n n 21 n n n (n - 1) (n - 5) 89 n (n - 1) (n - 5) - --------------------------- + --------------------------- 3 n 2 13 3 n 2 13 72 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 20 n n 18 n n 3619 n (n - 1) (n - 5) 1488457 n (n - 1) (n - 5) - --------------------------- - ----------------------------- 3 n 2 13 3 n 2 13 72 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 17 n n 16 n n 17834843 n (n - 1) (n - 5) 158528513 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 3 n 2 13 3 n 2 13 72 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 15 n n 14 n n 1065370735 n (n - 1) (n - 5) 2732973529 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 3 n 2 13 3 n 2 13 72 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 19 n n 13 n n 89165 n (n - 1) (n - 5) 2682764084 n (n - 1) (n - 5) + --------------------------- + -------------------------------- 3 n 2 13 3 n 2 13 72 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 3963107568 n (n - 1) (n - 5) 3149452608 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 6 19 n 2 n 2560 n ((n - 1) ) 11 n ((n - 1) ) (n - 2) - -------------------- - --------------------------- 24 n 6 10 n 3 6 (n - 1) (n ) 24 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 61 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 8159 n ((n - 1) ) (n - 2) 10745 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 134089 n ((n - 1) ) (n - 2) 43447 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 86909 n ((n - 1) ) (n - 2) 8396 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 4272 n ((n - 1) ) (n - 2) 960 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 14 n n 13 n n 11017 n (n - 1) (n - 3) 185677 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 12 n n 11 n n 554237 n (n - 1) (n - 3) 786662 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 1579292 n (n - 1) (n - 3) 2184034 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 657184 n (n - 1) (n - 3) 115616 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 26880 n (n - 1) (n - 3) - -------------------------- 5 n 2 9 (n - 1) (n ) (n - 3) and in Maple notation -128*n^12*((n-1)^n)^4/(n-1)^18/(n^n)^4+160560*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-2)^n/(n-2)^6-247612/3*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+ 62784*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6-683882/3*n^19*((n-1)^n) ^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6-11520*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-\ 2)^n/(n-2)^6+43/24*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7-141/4*n^24 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7+5047/12*n^23*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-3)^n/(n-3)^7-1/24*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7 -81593/24*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7+157545/8*n^21*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7-252871/3*n^20*((n-1)^n)^3/(n-1)^13/(n^n )^4*(n-3)^n/(n-3)^7+1624583/6*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7 -655784*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7+3573962/3*n^17*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7-4791632/3*n^16*((n-1)^n)^3/(n-1)^13/(n^n )^4*(n-3)^n/(n-3)^7+1531576*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7-\ 992160*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7+388224*n^13*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^7-69120*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3 )^n/(n-3)^7-5689/24*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+166165/72 *n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-129801/8*n^19*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-4)^n/(n-4)^8+6126353/72*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 4)^n/(n-4)^8-8133547/24*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+ 37201591/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-7234936/3*n^15*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+38436028/9*n^14*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-4)^n/(n-4)^8-5632466*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4 )^8+5351516*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-3454608*n^11*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+1353024*n^10*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-4)^n/(n-4)^8-241920*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+1/ 72*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-17/24*n^23*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-4)^n/(n-4)^8+1195/72*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n /(n-4)^8+1/72*n^28*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-43/72*n^27*((n-\ 1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+139/12*n^26*((n-1)^n)^4/(n-1)^14/(n^n) ^5*(n-2)^n/(n-2)^8-4831/36*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+ 74609/72*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-135193/24*n^23*((n-1 )^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+399263/18*n^22*((n-1)^n)^4/(n-1)^14/(n^ n)^5*(n-2)^n/(n-2)^8-1153199/18*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2) ^8+407206/3*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-1874906/9*n^19*(( n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+2025608/9*n^18*((n-1)^n)^4/(n-1)^14/ (n^n)^5*(n-2)^n/(n-2)^8-486008/3*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2 )^8+69568*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-13440*n^15*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8+1002451/24*n^21*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-3)^n/(n-3)^9-1210421/6*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9+ 1449101/2*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9-5834414/3*n^18*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9+11647850/3*n^17*((n-1)^n)^3/(n-1)^11/( n^n)^4*(n-3)^n/(n-3)^9-5674952*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^ 9+17662888/3*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9-4096768*n^14*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9+1709952*n^13*((n-1)^n)^3/(n-1)^11/(n^ n)^4*(n-3)^n/(n-3)^9-322560*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9-1 /24*n^26*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9+17/8*n^25*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-3)^n/(n-3)^9-589/12*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/ (n-3)^9+8167/12*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9-50635/8*n^22* ((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^9-35/72*n^27*((n-1)^n)^4/(n-1)^18/(n ^n)^5*(n-2)^n/(n-2)^4+70/9*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^4-\ 2711/36*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^4+1/72*n^28*((n-1)^n)^4 /(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^4+3937/8*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2 )^n/(n-2)^4-54997/24*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^4+281491/ 36*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^4+149092/3*n^18*((n-1)^n)^4/ (n-1)^18/(n^n)^5*(n-2)^n/(n-2)^4-32592*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^ n/(n-2)^4+12864*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^4-2304*n^15*((n 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/(n^n)^4*(n-3)^n/(n-3)^5+153193/9*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-\ 3)^5-1046428/27*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^5-37/24*n^27*(( n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+26*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-2)^n/(n-2)^6-3175/12*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+ 43493/24*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6-70559/8*n^23*((n-1)^ n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+1/24*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n -2)^n/(n-2)^6+376453/12*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+ 688340/3*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6-154896*n^17*((n-1)^n )^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6-1/216*n^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 3)^n/(n-3)^11+7/24*n^25*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-223/27*n^ 24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+15031/108*n^23*((n-1)^n)^3/(n-1 )^9/(n^n)^4*(n-3)^n/(n-3)^11-37381/24*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/ (n-3)^11+2642959/216*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-7510921/ 108*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+5227783/18*n^19*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-24178253/27*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^ 4*(n-3)^n/(n-3)^11+54782486/27*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^ 11-29938276/9*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+103348024/27*n^ 15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11-8767568/3*n^14*((n-1)^n)^3/(n-1 )^9/(n^n)^4*(n-3)^n/(n-3)^11+3974720/3*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n /(n-3)^11-689521/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+6899227/72*n^ 17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-51534905/72*n^16*(n-1)^n/(n-1)^5/(n ^n)^2*(n-5)^n/(n-5)^11+293087663/72*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 11-641130325/36*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+49741/72*n^19*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+541078054/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2* 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n)^3*(n-4)^n/(n-4)^10-54306144*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^ 10+22842432*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-4354560*n^9*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+322805/24*n^20*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-4)^n/(n-4)^10-873573/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10 +15731093/24*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+1/24*n^24*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+1/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 2)^n/(n-2)^6-19/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+149/2*n^14*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-625/2*n^13*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-2)^n/(n-2)^6+757*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-1058*n^ 11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+788*n^10*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-2)^n/(n-2)^6-240*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-1/2*n^ 14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+25/2*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n -3)^n/(n-3)^7-263/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+1519/2*n^11*(n -1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-2632*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n /(n-3)^7+5600*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-7136*n^8*(n-1)^n/(n-1 )^3/(n^n)^2*(n-3)^n/(n-3)^7+4968*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-\ 1440*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-384*n^15*((n-1)^n)^5/(n-1)^19/ (n^n)^5-1/12*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+7/2*n^17*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^8-791/12*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8 +736*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-21701/4*n^14*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^8+55611/2*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-\ 1218713/12*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+266203*n^11*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1489684/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^8+642116*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-545508*n^8*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^8+272736*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-\ 60480*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1/12*n^22*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-2)^n/(n-2)^8+17/6*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-\ 1/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+17/2*n^11*(n-1)^n/(n-1)^3/(n^n )^2*(n-2)^n/(n-2)^6-115/2*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+395/2*n^ 9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-362*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2) ^n/(n-2)^6+334*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-120*n^6*(n-1)^n/(n-1 )^3/(n^n)^2*(n-2)^n/(n-2)^6-251/6*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2 )^8+353*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-7539/4*n^18*((n-1)^n)^ 3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+13307/2*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2 )^n/(n-2)^8-47192/3*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+73796/3*n^ 15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-73028/3*n^14*((n-1)^n)^3/(n-1)^9 /(n^n)^4*(n-2)^n/(n-2)^8+13752*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8 -3360*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+387/2*n^18*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-2063*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n -3)^9+56505/4*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-130389/2*n^15*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+206876*n^14*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-3)^n/(n-3)^9-451332*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+ 663396*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-625480*n^11*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+340128*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^ n/(n-3)^9-80640*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+1/4*n^20*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-21/2*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^9-1/4*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-143883/4*n^14*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+218469*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4 )^n/(n-4)^10-3734723/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+2826734*n^ 11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-6011564*n^10*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-4)^n/(n-4)^10+8749068*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-8259444 *n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+4531248*n^7*(n-1)^n/(n-1)^3/(n^n) ^2*(n-4)^n/(n-4)^10-1088640*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+13*n^ 17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-1201/4*n^16*(n-1)^n/(n-1)^3/(n^n)^2 *(n-4)^n/(n-4)^10+4068*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-1/6*n^18*( (n-1)^n)^4/(n-1)^14/(n^n)^4+5/2*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-46/3*n^16*((n -1)^n)^4/(n-1)^14/(n^n)^4+148/3*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-88*n^14*((n-1 )^n)^4/(n-1)^14/(n^n)^4+248/3*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/6/(n^n)*n^12* (n-4)^n/(n-4)^8-11/2/(n^n)*n^11*(n-4)^n/(n-4)^8+78/(n^n)*n^10*(n-4)^n/(n-4)^8-\ 623/(n^n)*n^9*(n-4)^n/(n-4)^8+6167/2/(n^n)*n^8*(n-4)^n/(n-4)^8-19579/2/(n^n)*n^ 7*(n-4)^n/(n-4)^8+59671/3/(n^n)*n^6*(n-4)^n/(n-4)^8-24862/(n^n)*n^5*(n-4)^n/(n-\ 4)^8+17268/(n^n)*n^4*(n-4)^n/(n-4)^8-5040/(n^n)*n^3*(n-4)^n/(n-4)^8+1/12*n^24*( (n-1)^n)^5/(n-1)^19/(n^n)^5-2*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^5+253/12*n^22*((n -1)^n)^5/(n-1)^19/(n^n)^5-769/6*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^5+1486/3*n^20*( (n-1)^n)^5/(n-1)^19/(n^n)^5-3788/3*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+2124*n^18* ((n-1)^n)^5/(n-1)^19/(n^n)^5-6824/3*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5+1408*n^16 *((n-1)^n)^5/(n-1)^19/(n^n)^5+915*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-\ 19053/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+16569*n^11*(n-1)^n/(n-1)^5 /(n^n)^2*(n-3)^n/(n-3)^7-38960*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+ 61060*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-60924*n^8*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^7+34848*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-8640*n^6 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+10*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^ n/(n-3)^9-347/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+1716*n^13*(n-1)^n/ (n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-42777/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n -3)^9+43806*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-119264*n^10*(n-1)^n/(n -1)^3/(n^n)^2*(n-3)^n/(n-3)^9+212804*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 9-237788*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+149904*n^7*(n-1)^n/(n-1)^3 /(n^n)^2*(n-3)^n/(n-3)^9-40320*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-1/4* n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+1/216/(n^n)*n^20*(n-6)^n/(n-6)^14-\ 35/72/(n^n)*n^19*(n-6)^n/(n-6)^14+47/2/(n^n)*n^18*(n-6)^n/(n-6)^14-4165/6/(n^n) *n^17*(n-6)^n/(n-6)^14-2464735/12/(n^n)*n^15*(n-6)^n/(n-6)^14+121893733/54/(n^n )*n^14*(n-6)^n/(n-6)^14-341916575/18/(n^n)*n^13*(n-6)^n/(n-6)^14+2971219537/24/ (n^n)*n^12*(n-6)^n/(n-6)^14-15068478425/24/(n^n)*n^11*(n-6)^n/(n-6)^14+504797/ 36/(n^n)*n^16*(n-6)^n/(n-6)^14+22274819242/9/(n^n)*n^10*(n-6)^n/(n-6)^14+ 37160736024/(n^n)*n^6*(n-6)^n/(n-6)^14-30941432480/(n^n)*n^5*(n-6)^n/(n-6)^14+ 471031737548/27/(n^n)*n^8*(n-6)^n/(n-6)^14-22592523590/3/(n^n)*n^9*(n-6)^n/(n-6 )^14+15441168000/(n^n)*n^4*(n-6)^n/(n-6)^14-270628124410/9/(n^n)*n^7*(n-6)^n/(n -6)^14-3459456000/(n^n)*n^3*(n-6)^n/(n-6)^14+176832*n^10*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-3)^n/(n-3)^7-34560*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+ 123557/24*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-251779/8*n^17*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1665505/12*n^16*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^9-1340899/3*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-\ 7035/2/(n^n)*n^11*(n-4)^n/(n-4)^10+115743/4/(n^n)*n^10*(n-4)^n/(n-4)^10-321195/ 2/(n^n)*n^9*(n-4)^n/(n-4)^10+2449943/4/(n^n)*n^8*(n-4)^n/(n-4)^10-3203525/2/(n^ n)*n^7*(n-4)^n/(n-4)^10+2808039/(n^n)*n^6*(n-4)^n/(n-4)^10-3132990/(n^n)*n^5*(n -4)^n/(n-4)^10+1993464/(n^n)*n^4*(n-4)^n/(n-4)^10-544320/(n^n)*n^3*(n-4)^n/(n-4 )^10+1/4/(n^n)*n^14*(n-4)^n/(n-4)^10-25/2/(n^n)*n^13*(n-4)^n/(n-4)^10+1101/4/(n ^n)*n^12*(n-4)^n/(n-4)^10+1/72*n^26*((n-1)^n)^5/(n-1)^21/(n^n)^5-31/72*n^25*((n -1)^n)^5/(n-1)^21/(n^n)^5+433/72*n^24*((n-1)^n)^5/(n-1)^21/(n^n)^5-1199/24*n^23 *((n-1)^n)^5/(n-1)^21/(n^n)^5+1097/4*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^5-3134/3*n ^21*((n-1)^n)^5/(n-1)^21/(n^n)^5+25360/9*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^5-\ 48442/9*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^5+64228/9*n^18*((n-1)^n)^5/(n-1)^21/(n^ n)^5-6256*n^17*((n-1)^n)^5/(n-1)^21/(n^n)^5+3264*n^16*((n-1)^n)^5/(n-1)^21/(n^n )^5+1/72/(n^n)*n^18*(n-5)^n/(n-5)^13-29/24/(n^n)*n^17*(n-5)^n/(n-5)^13-27425/24 /(n^n)*n^15*(n-5)^n/(n-5)^13+1323907/72/(n^n)*n^14*(n-5)^n/(n-5)^13-5062343/24/ (n^n)*n^13*(n-5)^n/(n-5)^13+128154455/72/(n^n)*n^12*(n-5)^n/(n-5)^13-269687275/ 24/(n^n)*n^11*(n-5)^n/(n-5)^13+3445/72/(n^n)*n^16*(n-5)^n/(n-5)^13+480977926/9/ (n^n)*n^10*(n-5)^n/(n-5)^13+1361304072/(n^n)*n^6*(n-5)^n/(n-5)^13-1240499424/(n ^n)*n^5*(n-5)^n/(n-5)^13+4586344360/9/(n^n)*n^8*(n-5)^n/(n-5)^13-573602744/3/(n ^n)*n^9*(n-5)^n/(n-5)^13+668453760/(n^n)*n^4*(n-5)^n/(n-5)^13-2975326250/3/(n^n )*n^7*(n-5)^n/(n-5)^13-159667200/(n^n)*n^3*(n-5)^n/(n-5)^13-1/72*n^24*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+11/24*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-\ 2)^n/(n-2)^4-247/36*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+739/12*n^ 21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-8855/24*n^20*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^4+12429/8*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n -2)^4+54494/3*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-13368*n^14*((n-\ 1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+5856*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-2)^n/(n-2)^4-1152*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-84815/ 18*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+31091/3*n^17*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-147530/9*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2 )^n/(n-2)^4-1/24*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+35/24*n^23*( (n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-277/12*n^22*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-2)^n/(n-2)^6+2621/12*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6 -11003/8*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+48553/8*n^19*((n-1)^ n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-115397/6*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^6+132215/3*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-\ 217250/3*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+249382/3*n^15*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-63192*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4* (n-2)^n/(n-2)^6+28512*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-5760*n^ 12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+1/24*n^22*((n-1)^n)^2/(n-1)^10/ (n^n)^3*(n-3)^n/(n-3)^7-41/24*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7 +191/6*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-4283/12*n^19*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+21487/8*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-3)^n/(n-3)^7-114571/8*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+ 667771/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-478406/3*n^15*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+1010540/3*n^14*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^7-1552882/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^ 7+561956*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-407664*n^11*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+185862479/72*n^13*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^12+190062842/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-\ 55821316*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+222966326/9*n^11*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-112051907/12*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4 )^n/(n-4)^12+28961040*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-267/8*n^18*( n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+73/72*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-4 )^n/(n-4)^12+47213/72*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+1895113/24* n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-37913249/72*n^14*(n-1)^n/(n-1)^3/ (n^n)^2*(n-4)^n/(n-4)^12-617705/72*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 12-426630956/9*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-6652800*n^6*(n-1)^ n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-1/72*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n -4)^12-268800*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+130504550/9*n^ 16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+547589632/3*n^12*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-4)^n/(n-4)^12-140603672*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4) ^n/(n-4)^12+96951512*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-\ 782088373/18*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+64574880*n^10*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-52019/72*n^21*((n-1)^n)^2/(n-1)^6/(n ^n)^3*(n-4)^n/(n-4)^12+2549/72*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^ 12+237377/24*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+49283927/72*n^18 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-29076553/8*n^17*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-4)^n/(n-4)^12-6920749/72*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n /(n-4)^12-1423450438/9*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-\ 13305600*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+1/72*n^24*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+28671863/216/(n^n)*n^10*(n-4)^n/(n-4)^12+ 62778424/9/(n^n)*n^6*(n-4)^n/(n-4)^12-21501998/3/(n^n)*n^5*(n-4)^n/(n-4)^12+ 51909242/27/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/216/(n^n)*n^9*(n-4)^n/(n-4)^12 +4272440/(n^n)*n^4*(n-4)^n/(n-4)^12-71/216/(n^n)*n^15*(n-4)^n/(n-4)^12+1/216/(n ^n)*n^16*(n-4)^n/(n-4)^12+2261/216/(n^n)*n^14*(n-4)^n/(n-4)^12+59147/24/(n^n)*n ^12*(n-4)^n/(n-4)^12-1540231/72/(n^n)*n^11*(n-4)^n/(n-4)^12-42691/216/(n^n)*n^ 13*(n-4)^n/(n-4)^12-119147842/27/(n^n)*n^7*(n-4)^n/(n-4)^12-1108800/(n^n)*n^3*( n-4)^n/(n-4)^12+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+ 137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^ 6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-25/24*n^23*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-4)^n/(n-4)^12+18098667470/9*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-\ 8027960824/9*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+1496574720*n^7*(n-1) ^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-10034564716/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2* (n-5)^n/(n-5)^13-319334400*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+1050872 *n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-5342618/3*n^13*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-3)^n/(n-3)^9+6339620/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^ n/(n-3)^9-1661216*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+774336*n^10* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-161280*n^9*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-3)^n/(n-3)^9+1/24*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-49/24 *n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+45*n^20*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^9-7087/12*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9 -1/12*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+2*n^13*(n-1)^n/(n-1)^5/(n^n) ^2*(n-2)^n/(n-2)^6-41/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+117*n^11*( n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-1623/4*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2 )^n/(n-2)^6+873*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-3401/3*n^8*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+808*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6 -240*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+1/4*n^18*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^6-13/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+ 147/2*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-474*n^15*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-2)^n/(n-2)^6+7677/4*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n -2)^6-10107/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+8639*n^12*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-9226*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 2)^n/(n-2)^6+5568*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1440*n^9*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1/4*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^7+8*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-225/2*n^14*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^7-5/216*n^30*((n-1)^n)^6/(n-1)^24/(n^n)^6+55/72*n^ 29*((n-1)^n)^6/(n-1)^24/(n^n)^6-275/24*n^28*((n-1)^n)^6/(n-1)^24/(n^n)^6+22315/ 216*n^27*((n-1)^n)^6/(n-1)^24/(n^n)^6-11225/18*n^26*((n-1)^n)^6/(n-1)^24/(n^n)^ 6+47795/18*n^25*((n-1)^n)^6/(n-1)^24/(n^n)^6-220820/27*n^24*((n-1)^n)^6/(n-1)^ 24/(n^n)^6+55090/3*n^23*((n-1)^n)^6/(n-1)^24/(n^n)^6-268520/9*n^22*((n-1)^n)^6/ (n-1)^24/(n^n)^6+923800/27*n^21*((n-1)^n)^6/(n-1)^24/(n^n)^6-78880/3*n^20*((n-1 )^n)^6/(n-1)^24/(n^n)^6+12160*n^19*((n-1)^n)^6/(n-1)^24/(n^n)^6-16/3/(n^n)*n^15 *(n-5)^n/(n-5)^11+1841/12/(n^n)*n^14*(n-5)^n/(n-5)^11-7871/3/(n^n)*n^13*(n-5)^n /(n-5)^11+118921/4/(n^n)*n^12*(n-5)^n/(n-5)^11-235466/(n^n)*n^11*(n-5)^n/(n-5)^ 11+1/12/(n^n)*n^16*(n-5)^n/(n-5)^11+16073123/12/(n^n)*n^10*(n-5)^n/(n-5)^11+ 52725628/(n^n)*n^6*(n-5)^n/(n-5)^11-51257472/(n^n)*n^5*(n-5)^n/(n-5)^11+ 49732144/3/(n^n)*n^8*(n-5)^n/(n-5)^11-16600463/3/(n^n)*n^9*(n-5)^n/(n-5)^11+ 29119680/(n^n)*n^4*(n-5)^n/(n-5)^11-106516036/3/(n^n)*n^7*(n-5)^n/(n-5)^11-\ 7257600/(n^n)*n^3*(n-5)^n/(n-5)^11+1/12/(n^n)*n^12*(n-3)^n/(n-3)^9-19/6/(n^n)*n ^11*(n-3)^n/(n-3)^9+103/2/(n^n)*n^10*(n-3)^n/(n-3)^9-469/(n^n)*n^9*(n-3)^n/(n-3 )^9+10507/4/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/2/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/3 /(n^n)*n^6*(n-3)^n/(n-3)^9-86458/3/(n^n)*n^5*(n-3)^n/(n-3)^9+21624/(n^n)*n^4*(n -3)^n/(n-3)^9-6720/(n^n)*n^3*(n-3)^n/(n-3)^9-768*n^15*((n-1)^n)^5/(n-1)^21/(n^n )^5-32*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/72*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-2)^n/(n-2)^6-1/24*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+59/24*n^19* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-1577/24*n^18*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^10-11578451/24*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+ 47936509/24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-37002871/6*n^12*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+42375412/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 4)^n/(n-4)^10-23606948*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+27889362*n ^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-21986784*n^8*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^10+10332576*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-\ 2177280*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+25303/24*n^17*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^10-90733/8*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^10+692107/8*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+73/72*n^21*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-2443/72*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^11-1/72*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+1/2/(n^n)*n^10*(n-3)^ n/(n-3)^7-23/2/(n^n)*n^9*(n-3)^n/(n-3)^7+217/2/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/2 /(n^n)*n^7*(n-3)^n/(n-3)^7+1547/(n^n)*n^6*(n-3)^n/(n-3)^7-2506/(n^n)*n^5*(n-3)^ n/(n-3)^7+2124/(n^n)*n^4*(n-3)^n/(n-3)^7-720/(n^n)*n^3*(n-3)^n/(n-3)^7-1/4*n^22 *((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+7*n^21*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-2)^n/(n-2)^6-173/2*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+621* n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-11469/4*n^18*((n-1)^n)^3/(n-1 )^11/(n^n)^4*(n-2)^n/(n-2)^6+8892*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-\ 2)^6-18746*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+26504*n^15*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-24020*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*( n-2)^n/(n-2)^6+12576*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-2880*n^ 12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+1/4*n^20*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^7-17/2*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+257 /2*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-1140*n^17*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^7+26373/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^7-52191/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+72098*n^14*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-138980*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-3)^n/(n-3)^7+183044*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-156696*n ^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+78336*n^10*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^7-17280*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-1 /216*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^4+29/216*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4 -125/72*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^4+949/72*n^19*((n-1)^n)^4/(n-1)^18/(n^n )^4-1171/18*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+1963/9*n^17*((n-1)^n)^4/(n-1)^18/ (n^n)^4-13582/27*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+21278/27*n^15*((n-1)^n)^4/(n -1)^18/(n^n)^4-2408/3*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+480*n^13*((n-1)^n)^4/(n -1)^18/(n^n)^4-1/72*n^22*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+89/72*n^21*(n -1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-3619/72*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 5)^n/(n-5)^13-1488457/72*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+17834843 /72*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-158528513/72*n^16*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-5)^n/(n-5)^13+1065370735/72*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^ n/(n-5)^13-2732973529/36*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+89165/72 *n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+2682764084/9*n^13*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-5)^n/(n-5)^13+3963107568*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5) ^13-3149452608*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-2560*n^18*((n-1)^n) ^6/(n-1)^24/(n^n)^6-11/24*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+61/ 9*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/4*n^17*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-2)^n/(n-2)^6+8159/24*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^6-10745/8*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/36*n^ 14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43447/6*n^13*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-2)^n/(n-2)^6+86909/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n -2)^6-8396*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+4272*n^10*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-960*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2) ^n/(n-2)^6-1/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/72*n^17*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^9+6101/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11017/8*n^14*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^9-554237/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+786662/9*n^11*( n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1579292/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^9+2184034/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-657184/3*n ^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+115616*n^7*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^9-26880*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 The, 3, 4, mixed moment of, X[2], and , X[4], is 27 n 2 n 26 n 2 n 59 n ((n - 1) ) (n - 5) 1609 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 6 n 3 15 6 n 3 15 216 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 25 n 2 n 24 n 2 n 17957 n ((n - 1) ) (n - 5) 826787 n ((n - 1) ) (n - 5) - ------------------------------ + ------------------------------- 6 n 3 15 6 n 3 15 36 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 23 n 2 n 21 n 2 n 1736674 n ((n - 1) ) (n - 5) 2603379727 n ((n - 1) ) (n - 5) - -------------------------------- - ----------------------------------- 6 n 3 15 6 n 3 15 9 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 20 n 2 n 80266310293 n ((n - 1) ) (n - 5) + ------------------------------------ 6 n 3 15 432 (n - 1) (n ) (n - 5) 19 n 2 n 81517741591 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 3 15 72 (n - 1) (n ) (n - 5) 18 n 2 n 197031950609 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 15 36 (n - 1) (n ) (n - 5) 17 n 2 n 377580815443 n ((n - 1) ) (n - 5) - ------------------------------------- 6 n 3 15 18 (n - 1) (n ) (n - 5) 22 n 2 n 132433859 n ((n - 1) ) (n - 5) + ---------------------------------- 6 n 3 15 54 (n - 1) (n ) (n - 5) 16 n 2 n 1713044965909 n ((n - 1) ) (n - 5) + -------------------------------------- 6 n 3 15 27 (n - 1) (n ) (n - 5) 12 n 2 n 371593661920 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 15 (n - 1) (n ) (n - 5) 11 n 2 n 251475513472 n ((n - 1) ) (n - 5) - ------------------------------------- 6 n 3 15 (n - 1) (n ) (n - 5) 14 n 2 n 7377551463364 n ((n - 1) ) (n - 5) + -------------------------------------- 6 n 3 15 27 (n - 1) (n ) (n - 5) 15 n 2 n 4051069180630 n ((n - 1) ) (n - 5) - -------------------------------------- 6 n 3 15 27 (n - 1) (n ) (n - 5) 10 n 2 n 103352686080 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 15 (n - 1) (n ) (n - 5) 13 n 2 n 3368476907912 n ((n - 1) ) (n - 5) - -------------------------------------- 6 n 3 15 9 (n - 1) (n ) (n - 5) 9 n 2 n 26 n n 19372953600 n ((n - 1) ) (n - 5) n (n - 1) (n - 6) - ----------------------------------- - ---------------------------- 6 n 3 15 3 n 2 16 (n - 1) (n ) (n - 5) 432 (n - 1) (n ) (n - 6) 24 n n 25 n n 8599 n (n - 1) (n - 6) 17 n (n - 1) (n - 6) - ---------------------------- + --------------------------- 3 n 2 16 3 n 2 16 432 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 23 n n 22 n n 6997 n (n - 1) (n - 6) 1513565 n (n - 1) (n - 6) + -------------------------- - ----------------------------- 3 n 2 16 3 n 2 16 9 (n - 1) (n ) (n - 6) 72 (n - 1) (n ) (n - 6) 21 n n 20 n n 3761944 n (n - 1) (n - 6) 1368792719 n (n - 1) (n - 6) + ----------------------------- - -------------------------------- 3 n 2 16 3 n 2 16 9 (n - 1) (n ) (n - 6) 216 (n - 1) (n ) (n - 6) 18 n n 17 n n 303237420109 n (n - 1) (n - 6) 94540488887 n (n - 1) (n - 6) - ---------------------------------- + --------------------------------- 3 n 2 16 3 n 2 16 432 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 16 n n 4542847401209 n (n - 1) (n - 6) - ----------------------------------- 3 n 2 16 144 (n - 1) (n ) (n - 6) 15 n n 1370323063031 n (n - 1) (n - 6) + ----------------------------------- 3 n 2 16 9 (n - 1) (n ) (n - 6) 14 n n 19 n n 63606313091077 n (n - 1) (n - 6) 2023736992 n (n - 1) (n - 6) - ------------------------------------ + -------------------------------- 3 n 2 16 3 n 2 16 108 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 13 n n 48986653690609 n (n - 1) (n - 6) + ------------------------------------ 3 n 2 16 27 (n - 1) (n ) (n - 6) 9 n n 8 n n 12190974349360 n (n - 1) (n - 6) 8620438900800 n (n - 1) (n - 6) + ----------------------------------- - ---------------------------------- 3 n 2 16 3 n 2 16 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 74559549420808 n (n - 1) (n - 6) + ------------------------------------ 3 n 2 16 9 (n - 1) (n ) (n - 6) 12 n n 118904000137921 n (n - 1) (n - 6) - ------------------------------------- 3 n 2 16 27 (n - 1) (n ) (n - 6) 7 n n 3706212384000 n (n - 1) (n - 6) + ---------------------------------- 3 n 2 16 (n - 1) (n ) (n - 6) 10 n n 6 n n 35344522952668 n (n - 1) (n - 6) 726485760000 n (n - 1) (n - 6) - ------------------------------------ - --------------------------------- 3 n 2 16 3 n 2 16 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 21 n 5 n 20 n 5 n 20221184 n ((n - 1) ) (n - 2) 1211904 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 21 n 6 6 21 n 6 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 24 n 5 n 72002000 n ((n - 1) ) (n - 2) 50619292 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 21 n 6 6 21 n 6 6 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 19 n 5 n 22 n 5 n 401408 n ((n - 1) ) (n - 2) 77361104 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 21 n 6 6 21 n 6 6 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 5 n 32 n 4 n 61440 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ------------------------------ + ---------------------------- 21 n 6 6 18 n 5 7 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 195467 n ((n - 1) ) (n - 3) 372430 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 18 n 5 7 18 n 5 7 108 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 26 n 4 n 31 n 4 n 2880119 n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------- 18 n 5 7 18 n 5 7 36 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 1259 n ((n - 1) ) (n - 3) 9425 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 18 n 5 7 18 n 5 7 108 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 19475893 n ((n - 1) ) (n - 3) 34541053 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 18 n 5 7 18 n 5 7 54 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 96937226 n ((n - 1) ) (n - 3) 215206876 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 375717752 n ((n - 1) ) (n - 3) 509373104 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 58314464 n ((n - 1) ) (n - 3) 44078080 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 18 n 5 7 18 n 5 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 7672832 n ((n - 1) ) (n - 3) 2469888 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 20 n 4 n 368640 n ((n - 1) ) (n - 3) 61212412 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 18 n 5 7 20 n 5 5 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 20163920 n ((n - 1) ) (n - 3) 4885120 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 20 n 5 5 20 n 5 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 819712 n ((n - 1) ) (n - 3) 84992 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 20 n 5 5 20 n 5 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 23 n 4 n 12288 n ((n - 1) ) (n - 3) 4471765 n ((n - 1) ) (n - 3) - ------------------------------ - -------------------------------- 20 n 5 5 20 n 5 5 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 1049483 n ((n - 1) ) (n - 3) 15732616 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 20 n 5 5 20 n 5 5 3 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 32 n 4 n 31 n 4 n n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 20 n 5 5 20 n 5 5 1296 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 30 n 4 n 34 n 5 n 359 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 20 n 5 5 21 n 6 6 432 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 2) 33 n 5 n 32 n 5 n 23 n ((n - 1) ) (n - 2) 983 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 21 n 6 6 21 n 6 6 54 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 117755 n ((n - 1) ) (n - 2) 391595 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 21 n 6 6 21 n 6 6 108 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 145971 n ((n - 1) ) (n - 2) 3826121 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 21 n 6 6 21 n 6 6 4 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 26 n 5 n 31 n 5 n 11584327 n ((n - 1) ) (n - 2) 3238 n ((n - 1) ) (n - 2) - --------------------------------- + ----------------------------- 21 n 6 6 21 n 6 6 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 25 n 5 n 30 n 5 n 27431264 n ((n - 1) ) (n - 2) 99631 n ((n - 1) ) (n - 2) + --------------------------------- - ------------------------------ 21 n 6 6 23 n 6 4 27 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 159575 n ((n - 1) ) (n - 2) 3099287 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 23 n 6 4 23 n 6 4 108 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 34 n 5 n 33 n 5 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 23 n 6 4 23 n 6 4 432 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n 901 n ((n - 1) ) (n - 2) 2849 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 23 n 6 4 23 n 6 4 432 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 2907925 n ((n - 1) ) (n - 2) 8523065 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 23 n 6 4 23 n 6 4 108 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 4892230 n ((n - 1) ) (n - 2) 1079104 n ((n - 1) ) (n - 2) + -------------------------------- + -------------------------------- 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 189568 n ((n - 1) ) (n - 2) 61440 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 23 n 6 4 23 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 24 n 5 n 9216 n ((n - 1) ) (n - 2) 8767121 n ((n - 1) ) (n - 2) - ----------------------------- - -------------------------------- 23 n 6 4 23 n 6 4 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 12129364 n ((n - 1) ) (n - 2) 4231652 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 5652487 n ((n - 1) ) (n - 3) 166867 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 20 n 5 5 20 n 5 5 1296 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 24 n 4 n 29 n 4 n 6718255 n ((n - 1) ) (n - 3) 625 n ((n - 1) ) (n - 3) + -------------------------------- - ---------------------------- 20 n 5 5 20 n 5 5 108 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 16135 n ((n - 1) ) (n - 3) 43201 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 20 n 5 5 20 n 5 5 144 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 20 n 4 n 21 n 4 n 321120 n ((n - 1) ) (n - 2) 495224 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 125568 n ((n - 1) ) (n - 2) 1367764 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 4 n 25 n 3 n 23040 n ((n - 1) ) (n - 2) 43 n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------- 16 n 5 6 13 n 4 7 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 141 n ((n - 1) ) (n - 3) 5047 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 13 n 4 7 13 n 4 7 2 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 26 n 3 n 22 n 3 n n ((n - 1) ) (n - 3) 81593 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------ 13 n 4 7 13 n 4 7 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 157545 n ((n - 1) ) (n - 3) 505742 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 4 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 1624583 n ((n - 1) ) (n - 3) 1311568 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 7147924 n ((n - 1) ) (n - 3) 9583264 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 3063152 n ((n - 1) ) (n - 3) 1984320 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 776448 n ((n - 1) ) (n - 3) 138240 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 5689 n ((n - 1) ) (n - 4) 166165 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 129801 n ((n - 1) ) (n - 4) 6126353 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 4 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 8133547 n ((n - 1) ) (n - 4) 37201591 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 14469872 n ((n - 1) ) (n - 4) 76872056 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 11264932 n ((n - 1) ) (n - 4) 10703032 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 6909216 n ((n - 1) ) (n - 4) 2706048 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 24 n 2 n 483840 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------ + --------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 17 n ((n - 1) ) (n - 4) 1195 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n n ((n - 1) ) (n - 2) 43 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 14 n 5 8 14 n 5 8 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 139 n ((n - 1) ) (n - 2) 4831 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 14 n 5 8 14 n 5 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 74609 n ((n - 1) ) (n - 2) 135193 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 14 n 5 8 14 n 5 8 18 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 798526 n ((n - 1) ) (n - 2) 2306398 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 1628824 n ((n - 1) ) (n - 2) 7499624 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 8102432 n ((n - 1) ) (n - 2) 1944032 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 5 8 14 n 5 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 278272 n ((n - 1) ) (n - 2) 53760 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 14 n 5 8 14 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 1002451 n ((n - 1) ) (n - 3) 2420842 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 9 11 n 4 9 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 2898202 n ((n - 1) ) (n - 3) 23337656 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 46591400 n ((n - 1) ) (n - 3) 22699808 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 70651552 n ((n - 1) ) (n - 3) 16387072 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 6839808 n ((n - 1) ) (n - 3) 1290240 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 17 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 11 n 4 9 11 n 4 9 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 589 n ((n - 1) ) (n - 3) 8167 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 22 n 3 n 19 n 2 n 50635 n ((n - 1) ) (n - 3) 945925552 n ((n - 1) ) (n - 5) - ------------------------------ - ---------------------------------- 11 n 4 9 8 n 3 13 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 5) 18 n 2 n 35422185149 n ((n - 1) ) (n - 5) + ------------------------------------ 8 n 3 13 9 (n - 1) (n ) (n - 5) 17 n 2 n 117666681496 n ((n - 1) ) (n - 5) - ------------------------------------- 8 n 3 13 9 (n - 1) (n ) (n - 5) 22 n 2 n 179940971 n ((n - 1) ) (n - 5) + ---------------------------------- 8 n 3 13 54 (n - 1) (n ) (n - 5) 16 n 2 n 932210041636 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 13 27 (n - 1) (n ) (n - 5) 12 n 2 n 127192570880 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 13 (n - 1) (n ) (n - 5) 11 n 2 n 78247876608 n ((n - 1) ) (n - 5) - ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 5) 14 n 2 n 348093523024 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 13 3 (n - 1) (n ) (n - 5) 15 n 2 n 1939675258880 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 13 27 (n - 1) (n ) (n - 5) 10 n 2 n 29480325120 n ((n - 1) ) (n - 5) + ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 5) 13 n 2 n 426317925376 n ((n - 1) ) (n - 5) - ------------------------------------- 8 n 3 13 3 (n - 1) (n ) (n - 5) 9 n 2 n 27 n 4 n 5109350400 n ((n - 1) ) (n - 5) 37 n ((n - 1) ) (n - 2) - ---------------------------------- - --------------------------- 8 n 3 13 16 n 5 6 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 52 n ((n - 1) ) (n - 2) 3175 n ((n - 1) ) (n - 2) + --------------------------- - ----------------------------- 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 43493 n ((n - 1) ) (n - 2) 70559 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 5 6 16 n 5 6 12 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 28 n 4 n 22 n 4 n n ((n - 1) ) (n - 2) 376453 n ((n - 1) ) (n - 2) + --------------------------- + ------------------------------- 16 n 5 6 16 n 5 6 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 1376680 n ((n - 1) ) (n - 2) 309792 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 25 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 15 n 4 7 15 n 4 7 108 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 26 n 3 n 22 n 3 n 1159 n ((n - 1) ) (n - 3) 6310529 n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 108 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 6582682 n ((n - 1) ) (n - 3) 21375689 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 54185848 n ((n - 1) ) (n - 3) 106835180 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 15 n 4 7 15 n 4 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 162047392 n ((n - 1) ) (n - 3) 6862160 n ((n - 1) ) (n - 3) + ---------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 27 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 17141504 n ((n - 1) ) (n - 3) 3265024 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 1142784 n ((n - 1) ) (n - 3) 184320 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 15 n 4 7 15 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - --------------------------- + -------------------------- 9 n 4 11 9 n 4 11 36 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 446 n ((n - 1) ) (n - 3) 15031 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 9 n 4 11 9 n 4 11 9 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 37381 n ((n - 1) ) (n - 3) 2642959 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 9 n 4 11 9 n 4 11 4 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 7510921 n ((n - 1) ) (n - 3) 5227783 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 18 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 48356506 n ((n - 1) ) (n - 3) 109564972 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 59876552 n ((n - 1) ) (n - 3) 206696048 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 9 n 4 11 9 n 4 11 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 17535136 n ((n - 1) ) (n - 3) 7949440 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 4 11 9 n 4 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n n 17 n n 689521 n (n - 1) (n - 5) 6899227 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 16 n n 15 n n 51534905 n (n - 1) (n - 5) 293087663 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 5 n 2 11 5 n 2 11 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 14 n n 19 n n 641130325 n (n - 1) (n - 5) 49741 n (n - 1) (n - 5) - ------------------------------- + --------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 13 n n 9 n n 2164312216 n (n - 1) (n - 5) 1911629376 n (n - 1) (n - 5) + -------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 1368406272 n (n - 1) (n - 5) 11080705528 n (n - 1) (n - 5) - ------------------------------- + --------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 5616536128 n (n - 1) (n - 5) 591713280 n (n - 1) (n - 5) - -------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 5426863088 n (n - 1) (n - 5) 116121600 n (n - 1) (n - 5) - -------------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 23 n 2 n 22 n 2 n 61 n ((n - 1) ) (n - 4) 565 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 8 n 3 10 8 n 3 10 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 21 n 2 n 17 n 2 n 28457 n ((n - 1) ) (n - 4) 71093411 n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------------- 8 n 3 10 8 n 3 10 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 40647417 n ((n - 1) ) (n - 4) 317513132 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 622286672 n ((n - 1) ) (n - 4) 300413032 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 8 n 3 10 8 n 3 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 311062032 n ((n - 1) ) (n - 4) 217224576 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 91369728 n ((n - 1) ) (n - 4) 17418240 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 322805 n ((n - 1) ) (n - 4) 873573 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 10 8 n 3 10 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n 2 n 24 n 2 n 15731093 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + --------------------------------- + -------------------------- 8 n 3 10 8 n 3 10 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 24 n n 23 n n n (n - 1) (n - 5) 8 n (n - 1) (n - 5) - ---------------------------- + -------------------------- 5 n 2 13 5 n 2 13 108 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 22 n n 21 n n 709 n (n - 1) (n - 5) 19261 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 13 5 n 2 13 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 20 n n 18 n n 59890 n (n - 1) (n - 5) 150616949 n (n - 1) (n - 5) - --------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 3 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 17 n n 16 n n 398181407 n (n - 1) (n - 5) 4941961453 n (n - 1) (n - 5) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 18 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 15 n n 14 n n 12084698483 n (n - 1) (n - 5) 2593054074 n (n - 1) (n - 5) + --------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 18 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 19 n n 13 n n 4887337 n (n - 1) (n - 5) 70991708164 n (n - 1) (n - 5) + ----------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 18 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 47400022528 n (n - 1) (n - 5) 32392525824 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 103017297064 n (n - 1) (n - 5) 506259792652 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 5 n 2 13 5 n 2 13 3 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 7 n n 10 n n 13462824960 n (n - 1) (n - 5) 142058928896 n (n - 1) (n - 5) + -------------------------------- - ---------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 6 n n 27 n 4 n 2554675200 n (n - 1) (n - 5) 1627 n ((n - 1) ) (n - 2) - ------------------------------- - ----------------------------- 5 n 2 13 20 n 5 4 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 80107 n ((n - 1) ) (n - 2) 79681 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 20 n 5 4 20 n 5 4 432 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 20 n 5 4 20 n 5 4 432 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 28 n 4 n 24 n 4 n 817 n ((n - 1) ) (n - 2) 2143115 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------------- 20 n 5 4 20 n 5 4 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 1224245 n ((n - 1) ) (n - 2) 2425165 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 20 n 5 4 20 n 5 4 72 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 418688 n ((n - 1) ) (n - 2) 80576 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 20 n 5 4 20 n 5 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 28416 n ((n - 1) ) (n - 2) 4608 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 20 n 5 4 20 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 822355 n ((n - 1) ) (n - 2) 3832991 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 20 n 5 4 20 n 5 4 9 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 19 n 4 n 30 n 4 n 1487794 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - -------------------------------- + ---------------------------- 20 n 5 4 18 n 5 6 9 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 29 n 4 n 27 n 4 n 11 n ((n - 1) ) (n - 2) 5581 n ((n - 1) ) (n - 2) - --------------------------- - ----------------------------- 18 n 5 6 18 n 5 6 27 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 95431 n ((n - 1) ) (n - 2) 148082 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 18 n 5 6 18 n 5 6 108 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 2756561 n ((n - 1) ) (n - 2) 4895681 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 18 n 5 6 18 n 5 6 108 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 28 n 4 n 22 n 4 n 895 n ((n - 1) ) (n - 2) 6688646 n ((n - 1) ) (n - 2) + ---------------------------- + -------------------------------- 18 n 5 6 18 n 5 6 108 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 7800832 n ((n - 1) ) (n - 2) 513280 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 18 n 5 6 18 n 5 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 21 n 4 n 22511348 n ((n - 1) ) (n - 2) 14053972 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 18 n 5 6 18 n 5 6 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 185344 n ((n - 1) ) (n - 2) 26979304 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 18 n 5 6 18 n 5 6 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 15 n 4 n 25 n 3 n 30720 n ((n - 1) ) (n - 2) 4133 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 18 n 5 6 15 n 4 7 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 162403 n ((n - 1) ) (n - 3) 582457 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 15 n 4 7 15 n 4 7 108 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 149 n ((n - 1) ) (n - 2) 625 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 757 n ((n - 1) ) (n - 2) 1058 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 788 n ((n - 1) ) (n - 2) 240 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n n (n - 1) (n - 3) 25 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 263 n (n - 1) (n - 3) 1519 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 2632 n (n - 1) (n - 3) 5600 n (n - 1) (n - 3) - -------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 7136 n (n - 1) (n - 3) 4968 n (n - 1) (n - 3) - ------------------------- + ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n 5 1440 n (n - 1) (n - 3) 512 n ((n - 1) ) - ------------------------- - ------------------- 3 n 2 7 19 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) 26 n 3 n 16 n 2 n n ((n - 1) ) (n - 2) 10351855027 n ((n - 1) ) (n - 4) - ---------------------------- + ------------------------------------ 15 n 4 6 8 n 3 12 324 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 4) 12 n 2 n 2159439408 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 1435049216 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 44155370516 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 12 27 (n - 1) (n ) (n - 4) 15 n 2 n 24447851864 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 12 27 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 578691840 n ((n - 1) ) (n - 4) 6264947 n ((n - 1) ) (n - 4) + ---------------------------------- - -------------------------------- 8 n 3 12 8 n 3 12 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 276713 n ((n - 1) ) (n - 4) 17712457 n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------------- 8 n 3 12 8 n 3 12 27 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 18 n 2 n 3467266363 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 108 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 3394219004 n ((n - 1) ) (n - 4) 344862727 n ((n - 1) ) (n - 4) - ----------------------------------- - ---------------------------------- 8 n 3 12 8 n 3 12 27 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 19897480384 n ((n - 1) ) (n - 4) 106444800 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 8 n 3 12 8 n 3 12 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 476415107 n ((n - 1) ) (n - 5) 1808512865 n ((n - 1) ) (n - 5) - ---------------------------------- + ----------------------------------- 10 n 3 11 10 n 3 11 108 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 19 n 2 n 1030253635 n ((n - 1) ) (n - 5) - ----------------------------------- 10 n 3 11 9 (n - 1) (n ) (n - 5) 18 n 2 n 7546964413 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 3 11 18 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 11107398008 n ((n - 1) ) (n - 5) 66374639 n ((n - 1) ) (n - 5) - ------------------------------------ + --------------------------------- 10 n 3 11 10 n 3 11 9 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 16 n 2 n 78495092882 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 11 27 (n - 1) (n ) (n - 5) 12 n 2 n 7241600768 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 5) 11 n 2 n 4105949184 n ((n - 1) ) (n - 5) - ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 5) 14 n 2 n 23788608040 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 11 3 (n - 1) (n ) (n - 5) 15 n 2 n 146656294640 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 11 27 (n - 1) (n ) (n - 5) 10 n 2 n 1435023360 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 26506159552 n ((n - 1) ) (n - 5) 232243200 n ((n - 1) ) (n - 5) - ------------------------------------ - --------------------------------- 10 n 3 11 10 n 3 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 27 n 2 n 26 n 2 n 41 n ((n - 1) ) (n - 5) 521 n ((n - 1) ) (n - 5) - ----------------------------- + ---------------------------- 10 n 3 11 10 n 3 11 108 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 28 n 2 n 18 n n n ((n - 1) ) (n - 5) n (n - 1) (n - 4) + ----------------------------- - ------------------------- 10 n 3 11 5 n 2 8 216 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 4) 17 n n 16 n n 14 n (n - 1) (n - 4) 791 n (n - 1) (n - 4) + ------------------------- - ------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n n 14 n n 2944 n (n - 1) (n - 4) 21701 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n n 12 n n 37074 n (n - 1) (n - 4) 1218713 n (n - 1) (n - 4) + --------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 11 n n 10 n n 1064812 n (n - 1) (n - 4) 5958736 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 9 n n 8 n n 2568464 n (n - 1) (n - 4) 727344 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 363648 n (n - 1) (n - 4) 80640 n (n - 1) (n - 4) + --------------------------- - -------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 7 n ((n - 1) ) (n - 2) 119 n ((n - 1) ) (n - 2) - -------------------------- + ---------------------------- 9 n 4 8 9 n 4 8 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 12 n n 11 n n n (n - 1) (n - 2) 17 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 115 n (n - 1) (n - 2) 395 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 362 n (n - 1) (n - 2) 334 n (n - 1) (n - 2) - ------------------------ + ------------------------ 3 n 2 6 3 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 20 n 3 n 120 n (n - 1) (n - 2) 1757 n ((n - 1) ) (n - 2) - ------------------------ - ----------------------------- 3 n 2 6 9 n 4 8 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 2471 n ((n - 1) ) (n - 2) 17591 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 9 n 4 8 9 n 4 8 3 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 93149 n ((n - 1) ) (n - 2) 330344 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 9 n 4 8 9 n 4 8 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 516572 n ((n - 1) ) (n - 2) 511196 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 9 n 4 8 9 n 4 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 32088 n ((n - 1) ) (n - 2) 7840 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 9 n 4 8 9 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 903 n ((n - 1) ) (n - 3) 14441 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 6 n 3 9 6 n 3 9 2 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 131845 n ((n - 1) ) (n - 3) 304241 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 6 n 3 9 6 n 3 9 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1448132 n ((n - 1) ) (n - 3) 1053108 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 6 n 3 9 6 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1547924 n ((n - 1) ) (n - 3) 4378360 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 793632 n ((n - 1) ) (n - 3) 188160 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 7 n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 6 n 3 9 6 n 3 9 12 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n n 14 n n 7 n (n - 1) (n - 4) 335727 n (n - 1) (n - 4) - --------------------------- - ---------------------------- 3 n 2 10 3 n 2 10 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n n 12 n n 509761 n (n - 1) (n - 4) 26143061 n (n - 1) (n - 4) + ---------------------------- - ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 19787138 n (n - 1) (n - 4) 42080948 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 20414492 n (n - 1) (n - 4) 19272036 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 10572912 n (n - 1) (n - 4) 2540160 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 16 n n 91 n (n - 1) (n - 4) 8407 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 15 n n 11 n 9492 n (n - 1) (n - 4) 175550326515187 n (n - 7) + -------------------------- - ---------------------------- 3 n 2 10 n 17 (n - 1) (n ) (n - 4) 27 n (n - 7) 16 n 10 n 1085805063581 n (n - 7) 1669859936426045 n (n - 7) + -------------------------- + ----------------------------- n 17 n 17 1296 n (n - 7) 81 n (n - 7) 6 n 5 n 165500616528960 n (n - 7) 123561902188800 n (n - 7) + --------------------------- - --------------------------- n 17 n 17 n (n - 7) n (n - 7) 8 n 9 n 305506811707468 n (n - 7) 155650575286780 n (n - 7) + --------------------------- - --------------------------- n 17 n 17 3 n (n - 7) 3 n (n - 7) 4 n 7 n 56151293184000 n (n - 7) 151890793247536 n (n - 7) + -------------------------- - --------------------------- n 17 n 17 n (n - 7) n (n - 7) 3 n 23 n 24 n 11623772160000 n (n - 7) 13 n (n - 7) n (n - 7) - -------------------------- - ---------------- + ----------------- n 17 n 17 n 17 n (n - 7) 108 n (n - 7) 1296 n (n - 7) 21 n 22 n 20 n 14315 n (n - 7) 11375 n (n - 7) 2710841 n (n - 7) - ------------------ + ------------------ + -------------------- n 17 n 17 n 17 36 n (n - 7) 1296 n (n - 7) 216 n (n - 7) 19 n 18 n 17 n 586537 n (n - 7) 3410929895 n (n - 7) 4012416245 n (n - 7) - ------------------- + ----------------------- - ----------------------- n 17 n 17 n 17 2 n (n - 7) 648 n (n - 7) 54 n (n - 7) 15 n 14 n 274362357451 n (n - 7) 24300874309985 n (n - 7) - ------------------------- + --------------------------- n 17 n 17 36 n (n - 7) 432 n (n - 7) 13 n 12 n 4052032185565 n (n - 7) 533646876597799 n (n - 7) - -------------------------- + ---------------------------- n 17 n 17 12 n (n - 7) 324 n (n - 7) 36 n 7 35 n 7 34 n 7 n ((n - 1) ) 7 n ((n - 1) ) 409 n ((n - 1) ) + ------------------- - ------------------ + ------------------- 29 n 7 29 n 7 29 n 7 216 (n - 1) (n ) 36 (n - 1) (n ) 108 (n - 1) (n ) 33 n 7 32 n 7 31 n 7 1225 n ((n - 1) ) 26923 n ((n - 1) ) 242543 n ((n - 1) ) - -------------------- + --------------------- - ---------------------- 29 n 7 29 n 7 29 n 7 27 (n - 1) (n ) 72 (n - 1) (n ) 108 (n - 1) (n ) 30 n 7 29 n 7 548309 n ((n - 1) ) 316753 n ((n - 1) ) + ---------------------- - ---------------------- 29 n 7 29 n 7 54 (n - 1) (n ) 9 (n - 1) (n ) 28 n 7 27 n 7 2545958 n ((n - 1) ) 5272916 n ((n - 1) ) + ----------------------- - ----------------------- 29 n 7 29 n 7 27 (n - 1) (n ) 27 (n - 1) (n ) 26 n 7 25 n 7 2791208 n ((n - 1) ) 10013968 n ((n - 1) ) + ----------------------- - ------------------------ 29 n 7 29 n 7 9 (n - 1) (n ) 27 (n - 1) (n ) 24 n 7 23 n 7 22 n 7 2910208 n ((n - 1) ) 194048 n ((n - 1) ) 71680 n ((n - 1) ) + ----------------------- - ---------------------- + --------------------- 29 n 7 29 n 7 29 n 7 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 26 n n 25 n n n (n - 1) (n - 6) 19 n (n - 1) (n - 6) - ---------------------------- + --------------------------- 5 n 2 14 5 n 2 14 324 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 24 n n 19 n 3 n 6047 n (n - 1) (n - 6) 146255189873 n ((n - 1) ) (n - 4) - ---------------------------- + ------------------------------------- 5 n 2 14 9 n 4 14 324 (n - 1) (n ) (n - 6) 162 (n - 1) (n ) (n - 4) 15 n 3 n 4870583640 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 4 14 (n - 1) (n ) (n - 4) 14 n 3 n 9588337024 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 4 14 3 (n - 1) (n ) (n - 4) 17 n 3 n 305545414582 n ((n - 1) ) (n - 4) + ------------------------------------- 9 n 4 14 81 (n - 1) (n ) (n - 4) 18 n 3 n 56971636693 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 4 14 27 (n - 1) (n ) (n - 4) 13 n 3 n 1271573120 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 4 14 (n - 1) (n ) (n - 4) 16 n 3 n 136212465908 n ((n - 1) ) (n - 4) - ------------------------------------- 9 n 4 14 27 (n - 1) (n ) (n - 4) 12 n 3 n 28 n 3 n 230630400 n ((n - 1) ) (n - 4) 1195 n ((n - 1) ) (n - 4) - ---------------------------------- - ----------------------------- 9 n 4 14 9 n 4 14 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 28 n 2 n 18 n 4 17 n 4 n ((n - 1) ) (n - 5) n ((n - 1) ) 5 n ((n - 1) ) + ---------------------------- - ----------------- + ----------------- 6 n 3 15 14 n 4 14 n 4 432 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) 2 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 46 n ((n - 1) ) 148 n ((n - 1) ) 88 n ((n - 1) ) - ------------------ + ------------------- - ------------------ 14 n 4 14 n 4 14 n 4 3 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 13 n 4 12 n 11 n 10 n 248 n ((n - 1) ) n (n - 4) 11 n (n - 4) 78 n (n - 4) + ------------------- + ------------- - --------------- + --------------- 14 n 4 n 8 n 8 n 8 3 (n - 1) (n ) 6 n (n - 4) 2 n (n - 4) n (n - 4) 9 n 8 n 7 n 623 n (n - 4) 6167 n (n - 4) 19579 n (n - 4) - --------------- + ---------------- - ----------------- n 8 n 8 n 8 n (n - 4) 2 n (n - 4) 2 n (n - 4) 6 n 5 n 4 n 59671 n (n - 4) 24862 n (n - 4) 17268 n (n - 4) + ----------------- - ----------------- + ----------------- n 8 n 8 n 8 3 n (n - 4) n (n - 4) n (n - 4) 3 n 12 n n 5040 n (n - 4) 50874219006812 n (n - 1) (n - 6) - ---------------- - ------------------------------------ n 8 5 n 2 14 n (n - 4) 81 (n - 1) (n ) (n - 6) 7 n n 10 n n 307022592000 n (n - 1) (n - 6) 11890609172224 n (n - 1) (n - 6) + --------------------------------- - ------------------------------------ 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 6 n n 28 n 5 55351296000 n (n - 1) (n - 6) n ((n - 1) ) - -------------------------------- + -------------------- 5 n 2 14 23 n 5 (n - 1) (n ) (n - 6) 1296 (n - 1) (n ) 27 n 5 26 n 5 25 n 5 19 n ((n - 1) ) 331 n ((n - 1) ) 875 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 23 n 5 23 n 5 23 n 5 648 (n - 1) (n ) 648 (n - 1) (n ) 162 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 5569 n ((n - 1) ) 42767 n ((n - 1) ) 120793 n ((n - 1) ) + -------------------- - --------------------- + ---------------------- 23 n 5 23 n 5 23 n 5 144 (n - 1) (n ) 216 (n - 1) (n ) 162 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 169393 n ((n - 1) ) 353821 n ((n - 1) ) 543602 n ((n - 1) ) - ---------------------- + ---------------------- - ---------------------- 23 n 5 23 n 5 23 n 5 81 (n - 1) (n ) 81 (n - 1) (n ) 81 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 199040 n ((n - 1) ) 16448 n ((n - 1) ) 7424 n ((n - 1) ) + ---------------------- - --------------------- + -------------------- 23 n 5 23 n 5 23 n 5 27 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 8 n ((n - 1) ) 253 n ((n - 1) ) + ----------------- - ----------------- + ------------------- 19 n 5 19 n 5 19 n 5 9 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 1538 n ((n - 1) ) 5944 n ((n - 1) ) 15152 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 19 n 5 19 n 5 19 n 5 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 2832 n ((n - 1) ) 27296 n ((n - 1) ) 5632 n ((n - 1) ) + -------------------- - --------------------- + -------------------- 19 n 5 19 n 5 19 n 5 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 13 n n 12 n n 1220 n (n - 1) (n - 3) 6351 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 22092 n (n - 1) (n - 3) 155840 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 244240 n (n - 1) (n - 3) 81232 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 46464 n (n - 1) (n - 3) 11520 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 70 n (n - 1) (n - 3) 2429 n (n - 1) (n - 3) + ------------------------- - -------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 13 n n 12 n n 4004 n (n - 1) (n - 3) 99813 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 102214 n (n - 1) (n - 3) 834848 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 1489628 n (n - 1) (n - 3) 1664516 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 349776 n (n - 1) (n - 3) 94080 n (n - 1) (n - 3) + --------------------------- - -------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 20 n 19 n 7 n (n - 1) (n - 3) n (n - 6) 35 n (n - 6) - -------------------------- + --------------- - --------------- 3 n 2 9 n 14 n 14 12 (n - 1) (n ) (n - 3) 36 n (n - 6) 12 n (n - 6) 18 n 17 n 15 n 141 n (n - 6) 4165 n (n - 6) 2464735 n (n - 6) + ---------------- - ----------------- - -------------------- n 14 n 14 n 14 n (n - 6) n (n - 6) 2 n (n - 6) 14 n 13 n 121893733 n (n - 6) 341916575 n (n - 6) + ---------------------- - ---------------------- n 14 n 14 9 n (n - 6) 3 n (n - 6) 12 n 11 n 16 n 2971219537 n (n - 6) 15068478425 n (n - 6) 504797 n (n - 6) + ----------------------- - ------------------------ + ------------------- n 14 n 14 n 14 4 n (n - 6) 4 n (n - 6) 6 n (n - 6) 10 n 6 n 44549638484 n (n - 6) 222964416144 n (n - 6) + ------------------------ + ------------------------ n 14 n 14 3 n (n - 6) n (n - 6) 5 n 8 n 185648594880 n (n - 6) 942063475096 n (n - 6) - ------------------------ + ------------------------ n 14 n 14 n (n - 6) 9 n (n - 6) 9 n 4 n 45185047180 n (n - 6) 92647008000 n (n - 6) - ----------------------- + ----------------------- n 14 n 14 n (n - 6) n (n - 6) 7 n 3 n 541256248820 n (n - 6) 20756736000 n (n - 6) - ------------------------ - ----------------------- n 14 n 14 3 n (n - 6) n (n - 6) 10 n 2 n 9 n 2 n 353664 n ((n - 1) ) (n - 3) 69120 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 123557 n ((n - 1) ) (n - 3) 251779 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 9 8 n 3 9 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 1665505 n ((n - 1) ) (n - 3) 5363596 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 10 n 9 n 16415 n (n - 4) 270067 n (n - 4) 749455 n (n - 4) - ------------------ + ------------------- - ------------------ n 10 n 10 n 10 2 n (n - 4) 4 n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 17149601 n (n - 4) 22424675 n (n - 4) 6552091 n (n - 4) + -------------------- - -------------------- + ------------------- n 10 n 10 n 10 12 n (n - 4) 6 n (n - 4) n (n - 4) 5 n 4 n 3 n 7310310 n (n - 4) 4651416 n (n - 4) 1270080 n (n - 4) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 n (n - 4) n (n - 4) n (n - 4) 14 n 13 n 12 n 18 n 7 n (n - 4) 175 n (n - 4) 2569 n (n - 4) n (n - 5) + --------------- - ---------------- + ----------------- + --------------- n 10 n 10 n 10 n 13 12 n (n - 4) 6 n (n - 4) 4 n (n - 4) 12 n (n - 5) 17 n 15 n 14 n 29 n (n - 5) 27425 n (n - 5) 1323907 n (n - 5) - --------------- - ------------------ + -------------------- n 13 n 13 n 13 4 n (n - 5) 4 n (n - 5) 12 n (n - 5) 13 n 12 n 11 n 5062343 n (n - 5) 128154455 n (n - 5) 269687275 n (n - 5) - -------------------- + ---------------------- - ---------------------- n 13 n 13 n 13 4 n (n - 5) 12 n (n - 5) 4 n (n - 5) 16 n 10 n 6 n 3445 n (n - 5) 961955852 n (n - 5) 8167824432 n (n - 5) + ----------------- + ---------------------- + ---------------------- n 13 n 13 n 13 12 n (n - 5) 3 n (n - 5) n (n - 5) 5 n 8 n 9 n 7442996544 n (n - 5) 9172688720 n (n - 5) 1147205488 n (n - 5) - ---------------------- + ---------------------- - ---------------------- n 13 n 13 n 13 n (n - 5) 3 n (n - 5) n (n - 5) 4 n 7 n 3 n 4010722560 n (n - 5) 5950652500 n (n - 5) 958003200 n (n - 5) + ---------------------- - ---------------------- - --------------------- n 13 n 13 n 13 n (n - 5) n (n - 5) n (n - 5) 23 n n 22 n n 11021 n (n - 1) (n - 6) 752123 n (n - 1) (n - 6) + --------------------------- - ---------------------------- 5 n 2 14 5 n 2 14 18 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 21 n n 20 n n 2101237 n (n - 1) (n - 6) 484604447 n (n - 1) (n - 6) + ----------------------------- - ------------------------------- 5 n 2 14 5 n 2 14 9 (n - 1) (n ) (n - 6) 162 (n - 1) (n ) (n - 6) 18 n n 17 n n 77409679685 n (n - 1) (n - 6) 9160460335 n (n - 1) (n - 6) - --------------------------------- + -------------------------------- 5 n 2 14 5 n 2 14 324 (n - 1) (n ) (n - 6) 6 (n - 1) (n ) (n - 6) 16 n n 15 n n 849626586497 n (n - 1) (n - 6) 589212779233 n (n - 1) (n - 6) - ---------------------------------- + ---------------------------------- 5 n 2 14 5 n 2 14 108 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 14 n n 19 n n 8890621933378 n (n - 1) (n - 6) 809780003 n (n - 1) (n - 6) - ----------------------------------- + ------------------------------- 5 n 2 14 5 n 2 14 81 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 13 n n 9 n n 7961071677764 n (n - 1) (n - 6) 3677529754112 n (n - 1) (n - 6) + ----------------------------------- + ---------------------------------- 5 n 2 14 5 n 2 14 27 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 8 n n 11 n n 783466567680 n (n - 1) (n - 6) 9395385096872 n (n - 1) (n - 6) - --------------------------------- + ----------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 32 n 6 31 n 6 30 n 6 n ((n - 1) ) 5 n ((n - 1) ) 41 n ((n - 1) ) - ------------------- + ------------------ - ------------------ 26 n 6 26 n 6 26 n 6 432 (n - 1) (n ) 54 (n - 1) (n ) 24 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 2081 n ((n - 1) ) 64121 n ((n - 1) ) 29737 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 26 n 6 26 n 6 26 n 6 108 (n - 1) (n ) 432 (n - 1) (n ) 36 (n - 1) (n ) 26 n 6 25 n 6 24 n 6 369887 n ((n - 1) ) 290186 n ((n - 1) ) 230869 n ((n - 1) ) - ---------------------- + ---------------------- - ---------------------- 26 n 6 26 n 6 26 n 6 108 (n - 1) (n ) 27 (n - 1) (n ) 9 (n - 1) (n ) 23 n 6 22 n 6 1251244 n ((n - 1) ) 1684324 n ((n - 1) ) + ----------------------- - ----------------------- 26 n 6 26 n 6 27 (n - 1) (n ) 27 (n - 1) (n ) 21 n 6 20 n 6 19 n 6 546112 n ((n - 1) ) 40320 n ((n - 1) ) 16384 n ((n - 1) ) + ---------------------- - --------------------- + --------------------- 26 n 6 26 n 6 26 n 6 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 27 n 2 n 26 n 2 n 49 n ((n - 1) ) (n - 5) 247 n ((n - 1) ) (n - 5) - --------------------------- + ---------------------------- 8 n 3 13 8 n 3 13 54 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 25 n 2 n 24 n 2 n 6893 n ((n - 1) ) (n - 5) 198931 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------- 8 n 3 13 8 n 3 13 6 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 23 n 2 n 21 n 2 n 5606017 n ((n - 1) ) (n - 5) 1495778119 n ((n - 1) ) (n - 5) - -------------------------------- - ----------------------------------- 8 n 3 13 8 n 3 13 18 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 20 n 2 n 2178229027 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 13 12 (n - 1) (n ) (n - 5) 20 n 3 n 3751762159 n ((n - 1) ) (n - 4) - ----------------------------------- 13 n 4 10 18 (n - 1) (n ) (n - 4) 19 n 3 n 4420943650 n ((n - 1) ) (n - 4) + ----------------------------------- 13 n 4 10 9 (n - 1) (n ) (n - 4) 18 n 3 n 8211026650 n ((n - 1) ) (n - 4) - ----------------------------------- 13 n 4 10 9 (n - 1) (n ) (n - 4) 17 n 3 n 1317151256 n ((n - 1) ) (n - 4) + ----------------------------------- 13 n 4 10 (n - 1) (n ) (n - 4) 16 n 3 n 1445326376 n ((n - 1) ) (n - 4) - ----------------------------------- 13 n 4 10 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 1162756128 n ((n - 1) ) (n - 4) 645480576 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 220478976 n ((n - 1) ) (n - 4) 34836480 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 144279631 n ((n - 1) ) (n - 4) 1355630875 n ((n - 1) ) (n - 4) + ---------------------------------- - ----------------------------------- 13 n 4 10 13 n 4 10 36 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 21 n 3 n 29 n 3 n 1263990425 n ((n - 1) ) (n - 4) 35 n ((n - 1) ) (n - 4) + ----------------------------------- + ---------------------------- 13 n 4 10 13 n 4 10 18 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n 1135 n ((n - 1) ) (n - 4) 22661 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 13 n 4 10 13 n 4 10 36 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 21 n 7 24 n 3 n 12288 n ((n - 1) ) n ((n - 1) ) (n - 2) - --------------------- - --------------------------- 29 n 7 13 n 4 6 (n - 1) (n ) 12 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 35 n ((n - 1) ) (n - 2) 277 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 13 n 4 6 13 n 4 6 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 2621 n ((n - 1) ) (n - 2) 11003 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 6 13 n 4 6 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 48553 n ((n - 1) ) (n - 2) 115397 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 13 n 4 6 13 n 4 6 4 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 264430 n ((n - 1) ) (n - 2) 434500 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 6 13 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 498764 n ((n - 1) ) (n - 2) 126384 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 6 13 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 57024 n ((n - 1) ) (n - 2) 11520 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 4 6 13 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 41 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 7 10 n 3 7 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 191 n ((n - 1) ) (n - 3) 4283 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 21487 n ((n - 1) ) (n - 3) 114571 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 10 n 3 7 10 n 3 7 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 667771 n ((n - 1) ) (n - 3) 956812 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 2021080 n ((n - 1) ) (n - 3) 3105764 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 1123912 n ((n - 1) ) (n - 3) 815328 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 9 n n 185862479 n (n - 1) (n - 4) 380125684 n (n - 1) (n - 4) + ------------------------------- + ------------------------------ 3 n 2 12 3 n 2 12 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 11 n n 334927896 n (n - 1) (n - 4) 445932652 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n n 7 n n 112051907 n (n - 1) (n - 4) 173766240 n (n - 1) (n - 4) - ------------------------------- + ------------------------------ 3 n 2 12 3 n 2 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 801 n (n - 1) (n - 4) 73 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 12 3 n 2 12 4 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 17 n n 15 n n 47213 n (n - 1) (n - 4) 1895113 n (n - 1) (n - 4) + --------------------------- + ----------------------------- 3 n 2 12 3 n 2 12 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n n 16 n n 37913249 n (n - 1) (n - 4) 617705 n (n - 1) (n - 4) - ------------------------------ - ---------------------------- 3 n 2 12 3 n 2 12 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 10 n n 6 n n 853261912 n (n - 1) (n - 4) 39916800 n (n - 1) (n - 4) - ------------------------------- - ----------------------------- 3 n 2 12 3 n 2 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n n 21 n 22 n n (n - 1) (n - 4) 67 n (n - 6) n (n - 6) - --------------------------- - ---------------- + ---------------- 3 n 2 12 n 16 n 16 12 (n - 1) (n ) (n - 4) 216 n (n - 6) 432 n (n - 6) 20 n 19 n 18 n 2777 n (n - 6) 5911 n (n - 6) 1407167 n (n - 6) + ----------------- - ----------------- + -------------------- n 16 n 16 n 16 144 n (n - 6) 8 n (n - 6) 72 n (n - 6) 17 n 15 n 13640609 n (n - 6) 6889842557 n (n - 6) - --------------------- - ----------------------- n 16 n 16 36 n (n - 6) 108 n (n - 6) 14 n 13 n 82706226551 n (n - 6) 32828414333 n (n - 6) + ------------------------ - ------------------------ n 16 n 16 144 n (n - 6) 8 n (n - 6) 12 n 11 n 3361024485221 n (n - 6) 7601560019027 n (n - 6) + -------------------------- - -------------------------- n 16 n 16 144 n (n - 6) 72 n (n - 6) 16 n 10 n 1205105411 n (n - 6) 10200408258499 n (n - 6) + ----------------------- + --------------------------- n 16 n 16 216 n (n - 6) 27 n (n - 6) 6 n 5 n 4358248637480 n (n - 6) 3474477074400 n (n - 6) + ------------------------- - ------------------------- n 16 n 16 n (n - 6) n (n - 6) 8 n 9 n 20577441930233 n (n - 6) 28585837173611 n (n - 6) + -------------------------- - -------------------------- n 16 n 16 9 n (n - 6) 27 n (n - 6) 4 n 7 n 1671484752000 n (n - 6) 11134888520114 n (n - 6) + ------------------------- - -------------------------- n 16 n 16 n (n - 6) 3 n (n - 6) 3 n 12 n 3 n 363242880000 n (n - 6) 1612800 n ((n - 1) ) (n - 3) - ------------------------ - -------------------------------- n 16 9 n 4 11 n (n - 6) (n - 1) (n ) (n - 3) 16 n 2 n 12 n 2 n 261009100 n ((n - 1) ) (n - 4) 1095179264 n ((n - 1) ) (n - 4) + ---------------------------------- + ----------------------------------- 6 n 3 12 6 n 3 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 14 n 2 n 843622032 n ((n - 1) ) (n - 4) 581709072 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 6 n 3 12 6 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 10 n 2 n 782088373 n ((n - 1) ) (n - 4) 387449280 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 6 n 3 12 6 n 3 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 22 n 2 n 52019 n ((n - 1) ) (n - 4) 2549 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 6 n 3 12 6 n 3 12 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 20 n 2 n 18 n 2 n 237377 n ((n - 1) ) (n - 4) 49283927 n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------------- 6 n 3 12 6 n 3 12 4 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 87229659 n ((n - 1) ) (n - 4) 6920749 n ((n - 1) ) (n - 4) - --------------------------------- - -------------------------------- 6 n 3 12 6 n 3 12 4 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 2846900876 n ((n - 1) ) (n - 4) 79833600 n ((n - 1) ) (n - 4) - ----------------------------------- - -------------------------------- 6 n 3 12 6 n 3 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 2 n 28 n 2 n n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 5) + --------------------------- + ---------------------------- 6 n 3 12 8 n 3 13 12 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 5) 10 n 6 n 5 n 28671863 n (n - 4) 125556848 n (n - 4) 43003996 n (n - 4) + --------------------- + --------------------- - -------------------- n 12 n 12 n 12 36 n (n - 4) 3 n (n - 4) n (n - 4) 8 n 9 n 4 n 103818484 n (n - 4) 128518753 n (n - 4) 25634640 n (n - 4) + --------------------- - --------------------- + -------------------- n 12 n 12 n 12 9 n (n - 4) 36 n (n - 4) n (n - 4) 15 n 16 n 14 n 71 n (n - 4) n (n - 4) 2261 n (n - 4) - --------------- + --------------- + ----------------- n 12 n 12 n 12 36 n (n - 4) 36 n (n - 4) 36 n (n - 4) 12 n 11 n 13 n 59147 n (n - 4) 1540231 n (n - 4) 42691 n (n - 4) + ------------------ - -------------------- - ------------------ n 12 n 12 n 12 4 n (n - 4) 12 n (n - 4) 36 n (n - 4) 7 n 3 n n 6 238295684 n (n - 4) 6652800 n (n - 4) 85 (n - 2) n - --------------------- - ------------------- + -------------- n 12 n 12 6 n 9 n (n - 4) n (n - 4) 6 (n - 2) n n 5 n 4 n 3 n 8 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n (n - 2) n - -------------- + --------------- - -------------- + ------------- 6 n 6 n 6 n 6 n 2 (n - 2) n 3 (n - 2) n (n - 2) n 6 (n - 2) n n 7 23 n 2 n 5 (n - 2) n 25 n ((n - 1) ) (n - 4) - ------------- - --------------------------- 6 n 6 n 3 12 2 (n - 2) n 4 (n - 1) (n ) (n - 4) 11 n n 12 n n 36197334940 n (n - 1) (n - 5) 16055921648 n (n - 1) (n - 5) + --------------------------------- - --------------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 8979448320 n (n - 1) (n - 5) 20069129432 n (n - 1) (n - 5) + ------------------------------- - --------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n 6 1916006400 n (n - 1) (n - 5) 3072 n ((n - 1) ) - ------------------------------- - -------------------- 3 n 2 13 26 n 6 (n - 1) (n ) (n - 5) (n - 1) (n ) 14 n 2 n 13 n 2 n 4203488 n ((n - 1) ) (n - 3) 21370472 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 25358480 n ((n - 1) ) (n - 3) 6644864 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 3097344 n ((n - 1) ) (n - 3) 645120 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 8 n 3 9 8 n 3 9 6 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 180 n ((n - 1) ) (n - 3) 7087 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 2) 8 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n n 11 n n 82 n (n - 1) (n - 2) 156 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 541 n (n - 1) (n - 2) 1164 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 13604 n (n - 1) (n - 2) 3232 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 6 5 n 2 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 24 n 3 n 320 n (n - 1) (n - 2) 811 n ((n - 1) ) (n - 2) - ------------------------ - ---------------------------- 5 n 2 6 15 n 4 6 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 265 n ((n - 1) ) (n - 2) 76351 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 73271 n ((n - 1) ) (n - 2) 1877309 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 54 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 25 n 3 n 19 n 3 n 7 n ((n - 1) ) (n - 2) 503062 n ((n - 1) ) (n - 2) + --------------------------- + ------------------------------- 15 n 4 6 15 n 4 6 54 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2936768 n ((n - 1) ) (n - 2) 214144 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 15 n 4 6 15 n 4 6 27 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 745936 n ((n - 1) ) (n - 2) 3670274 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 84992 n ((n - 1) ) (n - 2) 9084500 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 12 n 3 n 14 n 3 n 5120 n ((n - 1) ) (n - 2) 3448790272 n ((n - 1) ) (n - 4) - ----------------------------- - ----------------------------------- 15 n 4 6 11 n 4 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 17 n 3 n 148003182184 n ((n - 1) ) (n - 4) + ------------------------------------- 11 n 4 12 27 (n - 1) (n ) (n - 4) 18 n 3 n 31017024748 n ((n - 1) ) (n - 4) - ------------------------------------ 11 n 4 12 9 (n - 1) (n ) (n - 4) 13 n 3 n 24 n 3 n 1263828480 n ((n - 1) ) (n - 4) 65667265 n ((n - 1) ) (n - 4) + ----------------------------------- - --------------------------------- 11 n 4 12 11 n 4 12 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 25 n 3 n 23 n 3 n 7371799 n ((n - 1) ) (n - 4) 451137469 n ((n - 1) ) (n - 4) + -------------------------------- + ---------------------------------- 11 n 4 12 11 n 4 12 54 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 21 n 3 n 10255704371 n ((n - 1) ) (n - 4) + ------------------------------------ 11 n 4 12 54 (n - 1) (n ) (n - 4) 20 n 3 n 17140293035 n ((n - 1) ) (n - 4) - ------------------------------------ 11 n 4 12 27 (n - 1) (n ) (n - 4) 22 n 3 n 4846717271 n ((n - 1) ) (n - 4) - ----------------------------------- 11 n 4 12 108 (n - 1) (n ) (n - 4) 16 n 3 n 59229915440 n ((n - 1) ) (n - 4) - ------------------------------------ 11 n 4 12 9 (n - 1) (n ) (n - 4) 12 n 3 n 29 n 3 n 212889600 n ((n - 1) ) (n - 4) 7 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------- 11 n 4 12 11 n 4 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 38467 n ((n - 1) ) (n - 4) 312094 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 11 n 4 12 11 n 4 12 54 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 28 n 3 n 24 n 3 n 1625 n ((n - 1) ) (n - 4) 5342533 n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------------- 11 n 4 12 15 n 4 8 54 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 3163867 n ((n - 1) ) (n - 4) 160443715 n ((n - 1) ) (n - 4) + -------------------------------- - ---------------------------------- 15 n 4 8 15 n 4 8 9 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 30 n 3 n 29 n 3 n n ((n - 1) ) (n - 4) 5 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 15 n 4 8 15 n 4 8 324 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 28 n 3 n 21 n 3 n 140 n ((n - 1) ) (n - 4) 135393020 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------------- 15 n 4 8 15 n 4 8 27 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 13550409 n ((n - 1) ) (n - 4) 789434000 n ((n - 1) ) (n - 4) - --------------------------------- + ---------------------------------- 15 n 4 8 15 n 4 8 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 18 n 3 n 4049291020 n ((n - 1) ) (n - 4) - ----------------------------------- 15 n 4 8 81 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 1803350656 n ((n - 1) ) (n - 4) 613526192 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 15 n 4 8 15 n 4 8 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 51261184 n ((n - 1) ) (n - 4) 26725888 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 15 n 4 8 15 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 8613888 n ((n - 1) ) (n - 4) 1290240 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 15 n 4 8 15 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 2431 n ((n - 1) ) (n - 4) 19559 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 15 n 4 8 15 n 4 8 27 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 25 n 3 n 33 n 5 n 261343 n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 2) + ------------------------------- + --------------------------- 15 n 4 8 19 n 6 8 27 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 2) 34 n 5 n 32 n 5 n n ((n - 1) ) (n - 2) 1247 n ((n - 1) ) (n - 2) - ---------------------------- - ----------------------------- 19 n 6 8 19 n 6 8 216 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 31 n 5 n 30 n 5 n 9155 n ((n - 1) ) (n - 2) 184283 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------- 19 n 6 8 19 n 6 8 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 168536 n ((n - 1) ) (n - 2) 2472995 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 19 n 6 8 19 n 6 8 27 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 15660967 n ((n - 1) ) (n - 2) 25636339 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 19 n 6 8 19 n 6 8 108 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 32652211 n ((n - 1) ) (n - 2) 64500218 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 19 n 6 8 19 n 6 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 97754884 n ((n - 1) ) (n - 2) 111411880 n ((n - 1) ) (n - 2) + --------------------------------- - ---------------------------------- 19 n 6 8 19 n 6 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 30759728 n ((n - 1) ) (n - 2) 1939264 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 19 n 6 8 19 n 6 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 673024 n ((n - 1) ) (n - 2) 107520 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 19 n 6 8 19 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 32 n 4 n 24 n 4 n n ((n - 1) ) (n - 3) 88280207 n ((n - 1) ) (n - 3) + --------------------------- + --------------------------------- 16 n 5 9 16 n 5 9 72 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 135197567 n ((n - 1) ) (n - 3) 325717906 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 16 n 5 9 16 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n n 9 n n 4360130225 n (n - 1) (n - 4) 786641080 n (n - 1) (n - 4) + -------------------------------- + ------------------------------ 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 586157248 n (n - 1) (n - 4) 12464402260 n (n - 1) (n - 4) - ------------------------------ + --------------------------------- 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 12 n n 7 n n 5991724802 n (n - 1) (n - 4) 87578240 n (n - 1) (n - 4) - -------------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 244258 n (n - 1) (n - 4) 32455 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 17 n n 15 n n 5287915 n (n - 1) (n - 4) 259739645 n (n - 1) (n - 4) + ----------------------------- + ------------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 14 n n 16 n n 2428307783 n (n - 1) (n - 4) 42561541 n (n - 1) (n - 4) - -------------------------------- - ------------------------------ 5 n 2 12 5 n 2 12 324 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 10 n n 6 n n 6408855332 n (n - 1) (n - 4) 17740800 n (n - 1) (n - 4) - -------------------------------- - ----------------------------- 5 n 2 12 5 n 2 12 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n n 20 n n 20 n (n - 1) (n - 4) 1463 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 22 n n 21 n 4 n n (n - 1) (n - 4) 613756628 n ((n - 1) ) (n - 3) - ---------------------------- - ---------------------------------- 5 n 2 12 16 n 5 9 324 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 99272328 n ((n - 1) ) (n - 3) 983574224 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 16 n 5 9 16 n 5 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 263531200 n ((n - 1) ) (n - 3) 48561408 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 16 n 5 9 16 n 5 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 16475136 n ((n - 1) ) (n - 3) 2580480 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 16 n 5 9 16 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 5 n ((n - 1) ) (n - 3) 1663 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 16 n 5 9 16 n 5 9 6 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 14143 n ((n - 1) ) (n - 3) 330763 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 16 n 5 9 16 n 5 9 36 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 352819 n ((n - 1) ) (n - 3) 18205289 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 16 n 5 9 16 n 5 9 9 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 25 n 4 n 30 n 3 n 45336907 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - --------------------------------- - ---------------------------- 16 n 5 9 13 n 4 10 36 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n 156113 n ((n - 1) ) (n - 4) 3153263 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 13 n 4 10 13 n 4 10 18 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 24 n 3 n 20 n 19 n 8065577 n ((n - 1) ) (n - 4) n (n - 5) 19 n (n - 5) - -------------------------------- + ----------------- - ---------------- 13 n 4 10 n 15 n 15 12 (n - 1) (n ) (n - 4) 1296 n (n - 5) 216 n (n - 5) 18 n 17 n 15 n 83 n (n - 5) 5309 n (n - 5) 305123 n (n - 5) + --------------- - ----------------- - ------------------- n 15 n 15 n 15 18 n (n - 5) 36 n (n - 5) 6 n (n - 5) 14 n 13 n 12 n 48697207 n (n - 5) 586105949 n (n - 5) 605143253 n (n - 5) + --------------------- - ---------------------- + ---------------------- n 15 n 15 n 15 81 n (n - 5) 108 n (n - 5) 16 n (n - 5) 11 n 16 n 14717052779 n (n - 5) 695387 n (n - 5) - ------------------------ + ------------------- n 15 n 15 72 n (n - 5) 216 n (n - 5) 10 n 6 n 23097691526 n (n - 5) 15662182184 n (n - 5) + ------------------------ + ----------------------- n 15 n 15 27 n (n - 5) n (n - 5) 5 n 8 n 40663135648 n (n - 5) 543983918209 n (n - 5) - ----------------------- + ------------------------ n 15 n 15 3 n (n - 5) 81 n (n - 5) 9 n 4 n 8258229161 n (n - 5) 6998311040 n (n - 5) - ---------------------- + ---------------------- n 15 n 15 3 n (n - 5) n (n - 5) 7 n 3 n 327748252802 n (n - 5) 1614412800 n (n - 5) - ------------------------ - ---------------------- n 15 n 15 27 n (n - 5) n (n - 5) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 26 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 98 n ((n - 1) ) (n - 2) 632 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 2559 n ((n - 1) ) (n - 2) 6738 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 34556 n ((n - 1) ) (n - 2) 36904 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 7424 n ((n - 1) ) (n - 2) 1920 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n n (n - 1) (n - 3) 32 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n n 30 n 6 29 n 6 150 n (n - 1) (n - 3) n ((n - 1) ) 11 n ((n - 1) ) - ------------------------- - ------------------ + ------------------ 5 n 2 7 24 n 6 24 n 6 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) 12 (n - 1) (n ) 28 n 6 27 n 6 26 n 6 55 n ((n - 1) ) 4463 n ((n - 1) ) 2245 n ((n - 1) ) - ------------------ + -------------------- - -------------------- 24 n 6 24 n 6 24 n 6 4 (n - 1) (n ) 36 (n - 1) (n ) 3 (n - 1) (n ) 25 n 6 24 n 6 23 n 6 9559 n ((n - 1) ) 88328 n ((n - 1) ) 22036 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 24 n 6 24 n 6 24 n 6 3 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 22 n 6 21 n 6 20 n 6 107408 n ((n - 1) ) 369520 n ((n - 1) ) 31552 n ((n - 1) ) - ---------------------- + ---------------------- - --------------------- 24 n 6 24 n 6 24 n 6 3 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 19 n 6 15 n 14 n 14592 n ((n - 1) ) 112 n (n - 5) 12887 n (n - 5) + --------------------- - ---------------- + ------------------ 24 n 6 n 11 n 11 (n - 1) (n ) 9 n (n - 5) 36 n (n - 5) 13 n 12 n 11 n 55097 n (n - 5) 832447 n (n - 5) 1648262 n (n - 5) - ------------------ + ------------------- - -------------------- n 11 n 11 n 11 9 n (n - 5) 12 n (n - 5) 3 n (n - 5) 16 n 10 n 6 n 7 n (n - 5) 112511861 n (n - 5) 369079396 n (n - 5) + --------------- + ---------------------- + --------------------- n 11 n 11 n 11 36 n (n - 5) 36 n (n - 5) 3 n (n - 5) 5 n 8 n 9 n 119600768 n (n - 5) 348125008 n (n - 5) 116203241 n (n - 5) - --------------------- + --------------------- - --------------------- n 11 n 11 n 11 n (n - 5) 9 n (n - 5) 9 n (n - 5) 4 n 7 n 3 n 67945920 n (n - 5) 745612252 n (n - 5) 16934400 n (n - 5) + -------------------- - --------------------- - -------------------- n 11 n 11 n 11 n (n - 5) 9 n (n - 5) n (n - 5) 12 n 11 n 10 n 9 n 7 n (n - 3) 133 n (n - 3) 721 n (n - 3) 3283 n (n - 3) + -------------- - ---------------- + ---------------- - ---------------- n 9 n 9 n 9 n 9 36 n (n - 3) 18 n (n - 3) 6 n (n - 3) 3 n (n - 3) 8 n 7 n 6 n 73549 n (n - 3) 130879 n (n - 3) 442211 n (n - 3) + ----------------- - ------------------ + ------------------ n 9 n 9 n 9 12 n (n - 3) 6 n (n - 3) 9 n (n - 3) 5 n 4 n 3 n 605206 n (n - 3) 50456 n (n - 3) 15680 n (n - 3) - ------------------ + ----------------- - ----------------- n 9 n 9 n 9 9 n (n - 3) n (n - 3) n (n - 3) 15 n n 14 n n 2520417757 n (n - 1) (n - 5) 136541924441 n (n - 1) (n - 5) + -------------------------------- - ---------------------------------- 3 n 2 15 3 n 2 15 3 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 19 n n 13 n n 6187601 n (n - 1) (n - 5) 120519445501 n (n - 1) (n - 5) + ----------------------------- + ---------------------------------- 3 n 2 15 3 n 2 15 36 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 134636228752 n (n - 1) (n - 5) 102321204416 n (n - 1) (n - 5) + --------------------------------- - --------------------------------- 3 n 2 15 3 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 2071212594824 n (n - 1) (n - 5) 989928292903 n (n - 1) (n - 5) + ----------------------------------- - ---------------------------------- 3 n 2 15 3 n 2 15 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 7 n n 10 n n 46833104640 n (n - 1) (n - 5) 1078375424572 n (n - 1) (n - 5) + -------------------------------- - ----------------------------------- 3 n 2 15 3 n 2 15 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 6 n n 12 n 4 9686476800 n (n - 1) (n - 5) 32 n ((n - 1) ) - ------------------------------- - ------------------ 3 n 2 15 14 n 4 (n - 1) (n ) (n - 5) (n - 1) (n ) 24 n n 23 n n n (n - 1) (n - 5) 29 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 3 n 2 15 3 n 2 15 432 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 22 n n 21 n n 517 n (n - 1) (n - 5) 5641 n (n - 1) (n - 5) - --------------------------- + --------------------------- 3 n 2 15 3 n 2 15 36 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 20 n n 18 n n 759095 n (n - 1) (n - 5) 56935528 n (n - 1) (n - 5) - ---------------------------- - ------------------------------ 3 n 2 15 3 n 2 15 72 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 17 n n 16 n n 2147895503 n (n - 1) (n - 5) 21027715423 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 3 n 2 15 3 n 2 15 108 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 26 n 2 n 24 n 2 n n ((n - 1) ) (n - 4) 1543 n ((n - 1) ) (n - 4) + ---------------------------- + ----------------------------- 8 n 3 12 8 n 3 12 108 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 23 n 2 n 25 n 2 n 35381 n ((n - 1) ) (n - 4) 41 n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------- 8 n 3 12 8 n 3 12 54 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 10101053 n ((n - 1) ) (n - 3) 21554153 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 17535424 n ((n - 1) ) (n - 3) 43501718 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 81569338 n ((n - 1) ) (n - 3) 113472404 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 37761328 n ((n - 1) ) (n - 3) 2835136 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1157888 n ((n - 1) ) (n - 3) 215040 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 1435 n ((n - 1) ) (n - 3) 11161 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 235735 n ((n - 1) ) (n - 3) 447581 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 20 n 2 n 20 n n n ((n - 1) ) (n - 2) n (n - 1) (n - 4) + --------------------------- - -------------------------- 10 n 3 6 5 n 2 10 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 4) 19 n n 18 n n 59 n (n - 1) (n - 4) 1577 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 10 5 n 2 10 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n n 13 n n 11578451 n (n - 1) (n - 4) 47936509 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 5 n 2 10 5 n 2 10 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 12 n n 11 n n 74005742 n (n - 1) (n - 4) 169501648 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 10 n n 9 n n 94427792 n (n - 1) (n - 4) 111557448 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 87947136 n (n - 1) (n - 4) 41330304 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 8709120 n (n - 1) (n - 4) 25303 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 16 n n 15 n n 90733 n (n - 1) (n - 4) 692107 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 2 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 21 n n 20 n n 73 n (n - 1) (n - 5) 2443 n (n - 1) (n - 5) + --------------------------- - --------------------------- 5 n 2 11 5 n 2 11 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 22 n n 10 n 9 n n (n - 1) (n - 5) n (n - 3) 23 n (n - 3) - --------------------------- + ------------- - -------------- 5 n 2 11 n 7 n 7 18 (n - 1) (n ) (n - 5) 2 n (n - 3) 2 n (n - 3) 8 n 7 n 6 n 5 n 217 n (n - 3) 1085 n (n - 3) 1547 n (n - 3) 2506 n (n - 3) + --------------- - ---------------- + ---------------- - ---------------- n 7 n 7 n 7 n 7 2 n (n - 3) 2 n (n - 3) n (n - 3) n (n - 3) 4 n 3 n 24 n 2 n 2124 n (n - 3) 720 n (n - 3) 100205 n ((n - 1) ) (n - 5) + ---------------- - --------------- + ------------------------------- n 7 n 7 10 n 3 11 n (n - 3) n (n - 3) 18 (n - 1) (n ) (n - 5) 23 n 2 n 25 n 2 n 2409469 n ((n - 1) ) (n - 5) 12275 n ((n - 1) ) (n - 5) - -------------------------------- - ------------------------------ 10 n 3 11 10 n 3 11 36 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 21 n 3 n 20 n 3 n 15827603 n ((n - 1) ) (n - 3) 56625001 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 78572566 n ((n - 1) ) (n - 3) 168572774 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 13 n 4 9 13 n 4 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 276611080 n ((n - 1) ) (n - 3) 340228792 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 9 13 n 4 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 101038880 n ((n - 1) ) (n - 3) 20484480 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 7592448 n ((n - 1) ) (n - 3) 1290240 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 29 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 13 n 4 9 13 n 4 9 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 1547 n ((n - 1) ) (n - 3) 3149 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 13 n 4 9 13 n 4 9 72 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 280379 n ((n - 1) ) (n - 3) 1130897 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 13 n 4 9 13 n 4 9 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 22 n 3 n 23 n 2 n 1520189 n ((n - 1) ) (n - 3) 20527 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------ 13 n 4 9 10 n 3 10 8 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 67793 n ((n - 1) ) (n - 4) 2610919 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 10 n 3 10 10 n 3 10 9 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 17 n 2 n 1597669355 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 10 36 (n - 1) (n ) (n - 4) 16 n 2 n 1077046402 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 10 9 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 2266850846 n ((n - 1) ) (n - 4) 408591662 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 499967932 n ((n - 1) ) (n - 4) 445390512 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 271975104 n ((n - 1) ) (n - 4) 101530368 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 20 n 2 n 17418240 n ((n - 1) ) (n - 4) 18974893 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 106329845 n ((n - 1) ) (n - 4) 930311495 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 36 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 10 n 3 10 10 n 3 10 72 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 24 n 2 n 32 n 4 n 1067 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 3) + ----------------------------- + ----------------------------- 10 n 3 10 14 n 5 11 36 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 2 n ((n - 1) ) (n - 3) 2377 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 14 n 5 11 14 n 5 11 9 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 11945 n ((n - 1) ) (n - 3) 654883 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 14 n 5 11 14 n 5 11 81 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 1623812 n ((n - 1) ) (n - 3) 48277115 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 14 n 5 11 14 n 5 11 81 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 68680301 n ((n - 1) ) (n - 3) 303006374 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 14 n 5 11 14 n 5 11 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 23 n 4 n 1042671652 n ((n - 1) ) (n - 3) - ----------------------------------- 14 n 5 11 81 (n - 1) (n ) (n - 3) 22 n 4 n 2799383936 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 5 11 81 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 5832608368 n ((n - 1) ) (n - 3) 345111520 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 14 n 5 11 14 n 5 11 81 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 19 n 4 n 11177099968 n ((n - 1) ) (n - 3) - ------------------------------------ 14 n 5 11 81 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 3240782272 n ((n - 1) ) (n - 3) 642043904 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 14 n 5 11 14 n 5 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 77573120 n ((n - 1) ) (n - 3) 4300800 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 14 n 5 11 14 n 5 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 30 n 3 n 19 n 3 n n ((n - 1) ) (n - 4) 45151561918 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------------ 11 n 4 12 11 n 4 12 108 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 15 n 3 n 22 n 3 n 5753928032 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + ----------------------------------- - -------------------------- 11 n 4 12 11 n 4 6 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 28 n ((n - 1) ) (n - 2) 346 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 828 n ((n - 1) ) (n - 2) 3823 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 11856 n ((n - 1) ) (n - 2) 74984 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 106016 n ((n - 1) ) (n - 2) 96080 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 16768 n ((n - 1) ) (n - 2) 3840 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 34 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 514 n ((n - 1) ) (n - 3) 1520 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 8791 n ((n - 1) ) (n - 3) 34794 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 288392 n ((n - 1) ) (n - 3) 555920 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 732176 n ((n - 1) ) (n - 3) 208928 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 104448 n ((n - 1) ) (n - 3) 23040 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n n 21 n n n (n - 1) (n - 5) 89 n (n - 1) (n - 5) - --------------------------- + --------------------------- 3 n 2 13 3 n 2 13 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 20 n n 18 n n 3619 n (n - 1) (n - 5) 1488457 n (n - 1) (n - 5) - --------------------------- - ----------------------------- 3 n 2 13 3 n 2 13 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 17 n n 16 n n 17834843 n (n - 1) (n - 5) 158528513 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 3 n 2 13 3 n 2 13 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 15 n n 14 n n 1065370735 n (n - 1) (n - 5) 2732973529 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 3 n 2 13 3 n 2 13 12 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 19 n n 13 n n 89165 n (n - 1) (n - 5) 5365528168 n (n - 1) (n - 5) + --------------------------- + -------------------------------- 3 n 2 13 3 n 2 13 12 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 23778645408 n (n - 1) (n - 5) 18896715648 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 29 n 3 n 30 n 3 n 17 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 9 n 4 14 9 n 4 14 216 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 34151 n ((n - 1) ) (n - 4) 1332569 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 9 n 4 14 9 n 4 14 324 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 24 n 3 n 23 n 3 n 49884133 n ((n - 1) ) (n - 4) 810053543 n ((n - 1) ) (n - 4) - --------------------------------- + ---------------------------------- 9 n 4 14 9 n 4 14 162 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 22 n 3 n 20421401429 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 4 14 1296 (n - 1) (n ) (n - 4) 21 n 3 n 50300925389 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 4 14 648 (n - 1) (n ) (n - 4) 20 n 3 n 25 n 3 n 97041128093 n ((n - 1) ) (n - 4) 2353718 n ((n - 1) ) (n - 4) - ------------------------------------ + -------------------------------- 9 n 4 14 9 n 4 14 324 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 18 n 6 19 n 2 n 3072 n ((n - 1) ) 11 n ((n - 1) ) (n - 2) - -------------------- - --------------------------- 24 n 6 10 n 3 6 (n - 1) (n ) 12 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 122 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 8159 n ((n - 1) ) (n - 2) 10745 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 12 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 134089 n ((n - 1) ) (n - 2) 43447 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 173818 n ((n - 1) ) (n - 2) 16792 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 8544 n ((n - 1) ) (n - 2) 1920 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - ------------------------- + -------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n n 13 n n 11017 n (n - 1) (n - 3) 185677 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 2 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n n 11 n n 1108474 n (n - 1) (n - 3) 3146648 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 6317168 n (n - 1) (n - 3) 8736136 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 2628736 n (n - 1) (n - 3) 462464 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n 5 107520 n (n - 1) (n - 3) 512 n ((n - 1) ) - --------------------------- - ------------------- 5 n 2 9 23 n 5 (n - 1) (n ) (n - 3) (n - 1) (n ) and in Maple notation -59/216*n^27*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+1609/108*n^26*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-17957/36*n^25*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-5)^n/(n-5)^15+826787/72*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-\ 1736674/9*n^23*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-2603379727/108*n^21 *((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+80266310293/432*n^20*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-81517741591/72*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-5)^n/(n-5)^15+197031950609/36*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-\ 5)^15-377580815443/18*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+ 132433859/54*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+1713044965909/27 *n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+371593661920*n^12*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-251475513472*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^ 3*(n-5)^n/(n-5)^15+7377551463364/27*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n -5)^15-4051069180630/27*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+ 103352686080*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-3368476907912/9* n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-19372953600*n^9*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-1/432*n^26*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6 )^16-8599/432*n^24*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+17/54*n^25*(n-1)^n/ (n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+6997/9*n^23*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n -6)^16-1513565/72*n^22*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+3761944/9*n^21* (n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-1368792719/216*n^20*(n-1)^n/(n-1)^3/(n ^n)^2*(n-6)^n/(n-6)^16-303237420109/432*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n -6)^16+94540488887/18*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-\ 4542847401209/144*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+1370323063031/9 *n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-63606313091077/108*n^14*(n-1)^n/ (n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+2023736992/27*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 6)^n/(n-6)^16+48986653690609/27*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+ 12190974349360*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-8620438900800*n^8*( n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+74559549420808/9*n^11*(n-1)^n/(n-1)^3/( n^n)^2*(n-6)^n/(n-6)^16-118904000137921/27*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n /(n-6)^16+3706212384000*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-\ 35344522952668/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-726485760000*n^6 *(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+20221184/9*n^21*((n-1)^n)^5/(n-1)^21/ (n^n)^6*(n-2)^n/(n-2)^6-1211904*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2) ^6+72002000/27*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6-50619292/27*n^ 24*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+401408*n^19*((n-1)^n)^5/(n-1)^ 21/(n^n)^6*(n-2)^n/(n-2)^6-77361104/27*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^ n/(n-2)^6-61440*n^18*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+1/108*n^32*(( n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+195467/108*n^28*((n-1)^n)^4/(n-1)^18 /(n^n)^5*(n-3)^n/(n-3)^7-372430/27*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n -3)^7+2880119/36*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7-13/27*n^31*( (n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+1259/108*n^30*((n-1)^n)^4/(n-1)^18/ (n^n)^5*(n-3)^n/(n-3)^7-9425/54*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3) ^7-19475893/54*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+34541053/27*n^ 24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7-96937226/27*n^23*((n-1)^n)^4/(n -1)^18/(n^n)^5*(n-3)^n/(n-3)^7+215206876/27*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*( n-3)^n/(n-3)^7-375717752/27*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+ 509373104/27*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7-58314464/3*n^19* ((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+44078080/3*n^18*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-3)^n/(n-3)^7-7672832*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n -3)^7+2469888*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7-368640*n^15*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+61212412/81*n^20*((n-1)^n)^4/(n-1)^20 /(n^n)^5*(n-3)^n/(n-3)^5-20163920/27*n^19*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/ (n-3)^5+4885120/9*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-819712/3*n^ 17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+84992*n^16*((n-1)^n)^4/(n-1)^20 /(n^n)^5*(n-3)^n/(n-3)^5-12288*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^ 5-4471765/27*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+1049483/3*n^22*( (n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-15732616/27*n^21*((n-1)^n)^4/(n-1)^ 20/(n^n)^5*(n-3)^n/(n-3)^5+1/1296*n^32*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-\ 3)^5-1/27*n^31*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+359/432*n^30*((n-1) ^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-1/108*n^34*((n-1)^n)^5/(n-1)^21/(n^n)^6* (n-2)^n/(n-2)^6+23/54*n^33*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6-983/108 *n^32*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6-117755/108*n^30*((n-1)^n)^5/ (n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+391595/54*n^29*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n -2)^n/(n-2)^6-145971/4*n^28*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+ 3826121/27*n^27*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6-11584327/27*n^26*( (n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+3238/27*n^31*((n-1)^n)^5/(n-1)^21/( n^n)^6*(n-2)^n/(n-2)^6+27431264/27*n^25*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n -2)^6-99631/432*n^30*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+159575/108*n^ 29*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-3099287/432*n^28*((n-1)^n)^5/(n -1)^23/(n^n)^6*(n-2)^n/(n-2)^4-1/432*n^34*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/ (n-2)^4+11/108*n^33*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-901/432*n^32*( (n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+2849/108*n^31*((n-1)^n)^5/(n-1)^23/ (n^n)^6*(n-2)^n/(n-2)^4+2907925/108*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/( n-2)^4-8523065/108*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+4892230/27 *n^25*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+1079104/3*n^21*((n-1)^n)^5/( n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-189568*n^20*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^ n/(n-2)^4+61440*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-9216*n^18*((n -1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-8767121/27*n^24*((n-1)^n)^5/(n-1)^23/ (n^n)^6*(n-2)^n/(n-2)^4+12129364/27*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/( n-2)^4-4231652/9*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+5652487/1296 *n^26*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-166867/9*n^25*((n-1)^n)^4/(n -1)^20/(n^n)^5*(n-3)^n/(n-3)^5+6718255/108*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n -3)^n/(n-3)^5-625/54*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+16135/ 144*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-43201/54*n^27*((n-1)^n)^4 /(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+321120*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2 )^n/(n-2)^6-495224/3*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+125568*n ^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6-1367764/3*n^19*((n-1)^n)^4/(n-\ 1)^16/(n^n)^5*(n-2)^n/(n-2)^6-23040*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/( 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36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-129801/4*n^19*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+6126353/36*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-4)^n/(n-4)^8-8133547/12*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+ 37201591/18*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-14469872/3*n^15*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+76872056/9*n^14*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-4)^n/(n-4)^8-11264932*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/( n-4)^8+10703032*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-6909216*n^11* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+2706048*n^10*((n-1)^n)^2/(n-1)^10/ (n^n)^3*(n-4)^n/(n-4)^8-483840*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8 +1/36*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8-17/12*n^23*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-4)^n/(n-4)^8+1195/36*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4 )^n/(n-4)^8+1/18*n^28*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^8-43/18*n^27*( 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n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+127192570880*n^12*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-78247876608*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-5)^n/(n-5)^13+348093523024/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^ 13-1939675258880/27*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+ 29480325120*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-426317925376/3*n^ 13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-5109350400*n^9*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-5)^n/(n-5)^13-37/12*n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n -2)^6+52*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6-3175/6*n^25*((n-1)^n )^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+43493/12*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-2)^n/(n-2)^6-70559/4*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+1/12 *n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^6+376453/6*n^22*((n-1)^n)^4/(n -1)^16/(n^n)^5*(n-2)^n/(n-2)^6+1376680/3*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2 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n-5)^n/(n-5)^11+293087663/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 641130325/9*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+49741/18*n^19*(n-1)^n /(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+2164312216/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 5)^n/(n-5)^11+1911629376*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 1368406272*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+11080705528/9*n^11*(n-1 )^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-5616536128/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^11+591713280*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 5426863088/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-116121600*n^6*(n-1)^ n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-61/6*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^ n/(n-4)^10+565/2*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-28457/6*n^21 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-71093411/6*n^17*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^10+40647417*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^10-317513132/3*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+622286672 /3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-300413032*n^13*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+311062032*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -4)^n/(n-4)^10-217224576*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+ 91369728*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-17418240*n^9*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+322805/6*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-4)^n/(n-4)^10-873573/2*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+ 15731093/6*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+1/6*n^24*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-1/108*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/ (n-5)^13+8/9*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-709/18*n^22*(n-1)^n/ (n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+19261/18*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/ (n-5)^13-59890/3*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-150616949/54*n^ 18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+398181407/18*n^17*(n-1)^n/(n-1)^5/( n^n)^2*(n-5)^n/(n-5)^13-4941961453/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5 )^13+12084698483/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-2593054074*n^ 14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+4887337/18*n^19*(n-1)^n/(n-1)^5/(n^ n)^2*(n-5)^n/(n-5)^13+70991708164/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 13+47400022528*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-32392525824*n^8*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+103017297064/3*n^11*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^13-506259792652/27*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 13+13462824960*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-142058928896/3*n^10 *(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-2554675200*n^6*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-5)^n/(n-5)^13-1627/72*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+ 80107/432*n^26*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-79681/72*n^25*((n-1 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n^n)^5*(n-2)^n/(n-2)^6+95431/108*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2 )^6-148082/27*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+2756561/108*n^ 24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-4895681/54*n^23*((n-1)^n)^4/(n-\ 1)^18/(n^n)^5*(n-2)^n/(n-2)^6+895/108*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n /(n-2)^6+6688646/27*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+7800832/9 *n^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-513280*n^17*((n-1)^n)^4/(n-1 )^18/(n^n)^5*(n-2)^n/(n-2)^6+22511348/27*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2 )^n/(n-2)^6-14053972/27*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+ 185344*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-26979304/27*n^19*((n-1 )^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-30720*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-2)^n/(n-2)^6+4133/27*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-\ 162403/108*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+582457/54*n^23*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+1/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-2)^n/(n-2)^6-19/2*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+149/2*n^ 14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-625/2*n^13*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-2)^n/(n-2)^6+757*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-\ 1058*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+788*n^10*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-2)^n/(n-2)^6-240*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6 -1/2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+25/2*n^13*(n-1)^n/(n-1)^3/(n^ n)^2*(n-3)^n/(n-3)^7-263/2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+1519/2* n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-2632*n^10*(n-1)^n/(n-1)^3/(n^n)^2* (n-3)^n/(n-3)^7+5600*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-7136*n^8*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+4968*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-\ 3)^7-1440*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-512*n^15*((n-1)^n)^5/(n-1 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10/(n^n)^3*(n-5)^n/(n-5)^11+521/36*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n -5)^11+1/216*n^28*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11-1/9*n^18*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+14/3*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^8-791/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+2944/3*n^15*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^8-21701/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^8+37074*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1218713/9*n^12*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1064812/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^8-5958736/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+2568464/3*n^9*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-727344*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/ (n-4)^8+363648*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-80640*n^6*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^8-7/36*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-\ 2)^8+119/18*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-1/2*n^12*(n-1)^n/( n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+17/2*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^ 6-115/2*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+395/2*n^9*(n-1)^n/(n-1)^3/ (n^n)^2*(n-2)^n/(n-2)^6-362*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+334*n^7 *(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-120*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^ n/(n-2)^6-1757/18*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+2471/3*n^19* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-17591/4*n^18*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-2)^n/(n-2)^8+93149/6*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-\ 330344/9*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+516572/9*n^15*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-511196/9*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4* (n-2)^n/(n-2)^8+32088*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8-7840*n^ 12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^8+903/2*n^18*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-3)^n/(n-3)^9-14441/3*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9 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-7)^n/(n-7)^17-586537/2/(n^n)*n^19*(n-7)^n/(n-7)^17+3410929895/648/(n^n)*n^18*( n-7)^n/(n-7)^17-4012416245/54/(n^n)*n^17*(n-7)^n/(n-7)^17-274362357451/36/(n^n) *n^15*(n-7)^n/(n-7)^17+24300874309985/432/(n^n)*n^14*(n-7)^n/(n-7)^17-\ 4052032185565/12/(n^n)*n^13*(n-7)^n/(n-7)^17+533646876597799/324/(n^n)*n^12*(n-\ 7)^n/(n-7)^17+1/216*n^36*((n-1)^n)^7/(n-1)^29/(n^n)^7-7/36*n^35*((n-1)^n)^7/(n-\ 1)^29/(n^n)^7+409/108*n^34*((n-1)^n)^7/(n-1)^29/(n^n)^7-1225/27*n^33*((n-1)^n)^ 7/(n-1)^29/(n^n)^7+26923/72*n^32*((n-1)^n)^7/(n-1)^29/(n^n)^7-242543/108*n^31*( (n-1)^n)^7/(n-1)^29/(n^n)^7+548309/54*n^30*((n-1)^n)^7/(n-1)^29/(n^n)^7-316753/ 9*n^29*((n-1)^n)^7/(n-1)^29/(n^n)^7+2545958/27*n^28*((n-1)^n)^7/(n-1)^29/(n^n)^ 7-5272916/27*n^27*((n-1)^n)^7/(n-1)^29/(n^n)^7+2791208/9*n^26*((n-1)^n)^7/(n-1) ^29/(n^n)^7-10013968/27*n^25*((n-1)^n)^7/(n-1)^29/(n^n)^7+2910208/9*n^24*((n-1) ^n)^7/(n-1)^29/(n^n)^7-194048*n^23*((n-1)^n)^7/(n-1)^29/(n^n)^7+71680*n^22*((n-\ 1)^n)^7/(n-1)^29/(n^n)^7-1/324*n^26*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^14*(n-6)^n+19 /54*n^25*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^14*(n-6)^n-6047/324*n^24*(n-1)^n/(n-1)^5 /(n^n)^2/(n-6)^14*(n-6)^n+146255189873/162*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 4)^n/(n-4)^14+4870583640*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14-\ 9588337024/3*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14+305545414582/81* n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14-56971636693/27*n^18*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14+1271573120*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-4)^n/(n-4)^14-136212465908/27*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4 )^14-230630400*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14-1195/324*n^28* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14+1/432*n^28*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-5)^n/(n-5)^15-1/6*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^4+5/2*n^17*((n-1)^n)^ 4/(n-1)^14/(n^n)^4-46/3*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^4+148/3*n^15*((n-1)^n)^ 4/(n-1)^14/(n^n)^4-88*n^14*((n-1)^n)^4/(n-1)^14/(n^n)^4+248/3*n^13*((n-1)^n)^4/ (n-1)^14/(n^n)^4+1/6/(n^n)*n^12*(n-4)^n/(n-4)^8-11/2/(n^n)*n^11*(n-4)^n/(n-4)^8 +78/(n^n)*n^10*(n-4)^n/(n-4)^8-623/(n^n)*n^9*(n-4)^n/(n-4)^8+6167/2/(n^n)*n^8*( n-4)^n/(n-4)^8-19579/2/(n^n)*n^7*(n-4)^n/(n-4)^8+59671/3/(n^n)*n^6*(n-4)^n/(n-4 )^8-24862/(n^n)*n^5*(n-4)^n/(n-4)^8+17268/(n^n)*n^4*(n-4)^n/(n-4)^8-5040/(n^n)* n^3*(n-4)^n/(n-4)^8-50874219006812/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6 )^14+307022592000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-11890609172224/9 *n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-55351296000*n^6*(n-1)^n/(n-1)^5/ (n^n)^2*(n-6)^n/(n-6)^14+1/1296*n^28*((n-1)^n)^5/(n-1)^23/(n^n)^5-19/648*n^27*( (n-1)^n)^5/(n-1)^23/(n^n)^5+331/648*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^5-875/162*n ^25*((n-1)^n)^5/(n-1)^23/(n^n)^5+5569/144*n^24*((n-1)^n)^5/(n-1)^23/(n^n)^5-\ 42767/216*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^5+120793/162*n^22*((n-1)^n)^5/(n-1)^ 23/(n^n)^5-169393/81*n^21*((n-1)^n)^5/(n-1)^23/(n^n)^5+353821/81*n^20*((n-1)^n) ^5/(n-1)^23/(n^n)^5-543602/81*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^5+199040/27*n^18* ((n-1)^n)^5/(n-1)^23/(n^n)^5-16448/3*n^17*((n-1)^n)^5/(n-1)^23/(n^n)^5+7424/3*n ^16*((n-1)^n)^5/(n-1)^23/(n^n)^5+1/9*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5-8/3*n^23 *((n-1)^n)^5/(n-1)^19/(n^n)^5+253/9*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5-1538/9*n^ 21*((n-1)^n)^5/(n-1)^19/(n^n)^5+5944/9*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^5-15152/ 9*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^5+2832*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^5-\ 27296/9*n^17*((n-1)^n)^5/(n-1)^19/(n^n)^5+5632/3*n^16*((n-1)^n)^5/(n-1)^19/(n^n )^5+1220*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-6351*n^12*(n-1)^n/(n-1)^5 /(n^n)^2*(n-3)^n/(n-3)^7+22092*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-\ 155840/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+244240/3*n^9*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^7-81232*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+ 46464*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-11520*n^6*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^7+70/3*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-2429/6*n ^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+4004*n^13*(n-1)^n/(n-1)^3/(n^n)^2*( n-3)^n/(n-3)^9-99813/4*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+102214*n^11 *(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-834848/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2* (n-3)^n/(n-3)^9+1489628/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-1664516/3 *n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+349776*n^7*(n-1)^n/(n-1)^3/(n^n)^2 *(n-3)^n/(n-3)^9-94080*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-7/12*n^16*(n -1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+1/36/(n^n)*n^20*(n-6)^n/(n-6)^14-35/12/(n ^n)*n^19*(n-6)^n/(n-6)^14+141/(n^n)*n^18*(n-6)^n/(n-6)^14-4165/(n^n)*n^17*(n-6) ^n/(n-6)^14-2464735/2/(n^n)*n^15*(n-6)^n/(n-6)^14+121893733/9/(n^n)*n^14*(n-6)^ n/(n-6)^14-341916575/3/(n^n)*n^13*(n-6)^n/(n-6)^14+2971219537/4/(n^n)*n^12*(n-6 )^n/(n-6)^14-15068478425/4/(n^n)*n^11*(n-6)^n/(n-6)^14+504797/6/(n^n)*n^16*(n-6 )^n/(n-6)^14+44549638484/3/(n^n)*n^10*(n-6)^n/(n-6)^14+222964416144/(n^n)*n^6*( n-6)^n/(n-6)^14-185648594880/(n^n)*n^5*(n-6)^n/(n-6)^14+942063475096/9/(n^n)*n^ 8*(n-6)^n/(n-6)^14-45185047180/(n^n)*n^9*(n-6)^n/(n-6)^14+92647008000/(n^n)*n^4 *(n-6)^n/(n-6)^14-541256248820/3/(n^n)*n^7*(n-6)^n/(n-6)^14-20756736000/(n^n)*n ^3*(n-6)^n/(n-6)^14+353664*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-\ 69120*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+123557/6*n^18*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-251779/2*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^9+1665505/3*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-5363596 /3*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-16415/2/(n^n)*n^11*(n-4)^n/ (n-4)^10+270067/4/(n^n)*n^10*(n-4)^n/(n-4)^10-749455/2/(n^n)*n^9*(n-4)^n/(n-4)^ 10+17149601/12/(n^n)*n^8*(n-4)^n/(n-4)^10-22424675/6/(n^n)*n^7*(n-4)^n/(n-4)^10 +6552091/(n^n)*n^6*(n-4)^n/(n-4)^10-7310310/(n^n)*n^5*(n-4)^n/(n-4)^10+4651416/ (n^n)*n^4*(n-4)^n/(n-4)^10-1270080/(n^n)*n^3*(n-4)^n/(n-4)^10+7/12/(n^n)*n^14*( n-4)^n/(n-4)^10-175/6/(n^n)*n^13*(n-4)^n/(n-4)^10+2569/4/(n^n)*n^12*(n-4)^n/(n-\ 4)^10+1/12/(n^n)*n^18*(n-5)^n/(n-5)^13-29/4/(n^n)*n^17*(n-5)^n/(n-5)^13-27425/4 /(n^n)*n^15*(n-5)^n/(n-5)^13+1323907/12/(n^n)*n^14*(n-5)^n/(n-5)^13-5062343/4/( n^n)*n^13*(n-5)^n/(n-5)^13+128154455/12/(n^n)*n^12*(n-5)^n/(n-5)^13-269687275/4 /(n^n)*n^11*(n-5)^n/(n-5)^13+3445/12/(n^n)*n^16*(n-5)^n/(n-5)^13+961955852/3/(n ^n)*n^10*(n-5)^n/(n-5)^13+8167824432/(n^n)*n^6*(n-5)^n/(n-5)^13-7442996544/(n^n )*n^5*(n-5)^n/(n-5)^13+9172688720/3/(n^n)*n^8*(n-5)^n/(n-5)^13-1147205488/(n^n) *n^9*(n-5)^n/(n-5)^13+4010722560/(n^n)*n^4*(n-5)^n/(n-5)^13-5950652500/(n^n)*n^ 7*(n-5)^n/(n-5)^13-958003200/(n^n)*n^3*(n-5)^n/(n-5)^13+11021/18*n^23*(n-1)^n/( n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-752123/54*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/ (n-6)^14+2101237/9*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-484604447/162* n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-77409679685/324*n^18*(n-1)^n/(n-1 )^5/(n^n)^2*(n-6)^n/(n-6)^14+9160460335/6*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/ (n-6)^14-849626586497/108*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14+ 589212779233/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-8890621933378/81* n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14+809780003/27*n^19*(n-1)^n/(n-1)^5 /(n^n)^2*(n-6)^n/(n-6)^14+7961071677764/27*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n /(n-6)^14+3677529754112/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-\ 783466567680*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14+9395385096872/9*n^11* (n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^14-1/432*n^32*((n-1)^n)^6/(n-1)^26/(n^n)^ 6+5/54*n^31*((n-1)^n)^6/(n-1)^26/(n^n)^6-41/24*n^30*((n-1)^n)^6/(n-1)^26/(n^n)^ 6+2081/108*n^29*((n-1)^n)^6/(n-1)^26/(n^n)^6-64121/432*n^28*((n-1)^n)^6/(n-1)^ 26/(n^n)^6+29737/36*n^27*((n-1)^n)^6/(n-1)^26/(n^n)^6-369887/108*n^26*((n-1)^n) ^6/(n-1)^26/(n^n)^6+290186/27*n^25*((n-1)^n)^6/(n-1)^26/(n^n)^6-230869/9*n^24*( (n-1)^n)^6/(n-1)^26/(n^n)^6+1251244/27*n^23*((n-1)^n)^6/(n-1)^26/(n^n)^6-\ 1684324/27*n^22*((n-1)^n)^6/(n-1)^26/(n^n)^6+546112/9*n^21*((n-1)^n)^6/(n-1)^26 /(n^n)^6-40320*n^20*((n-1)^n)^6/(n-1)^26/(n^n)^6+16384*n^19*((n-1)^n)^6/(n-1)^ 26/(n^n)^6-49/54*n^27*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+247/6*n^26*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-6893/6*n^25*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^13+198931/9*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^ 13-5606017/18*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-1495778119/54*n ^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+2178229027/12*n^20*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-3751762159/18*n^20*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-4)^n/(n-4)^10+4420943650/9*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4 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^n/(n-2)^6-277/6*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+2621/6*n^21* ((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-11003/4*n^20*((n-1)^n)^3/(n-1)^13/ (n^n)^4*(n-2)^n/(n-2)^6+48553/4*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2) ^6-115397/3*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+264430/3*n^17*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-434500/3*n^16*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-2)^n/(n-2)^6+498764/3*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^ 6-126384*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+57024*n^13*((n-1)^n) ^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-11520*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-\ 2)^n/(n-2)^6+1/12*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-41/12*n^21* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+191/3*n^20*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^7-4283/6*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+ 21487/4*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-114571/4*n^17*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+667771/6*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-3)^n/(n-3)^7-956812/3*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+ 2021080/3*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-3105764/3*n^13*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+1123912*n^12*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-3)^n/(n-3)^7-815328*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+ 185862479/12*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+380125684*n^9*(n-1)^ n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-334927896*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^ n/(n-4)^12+445932652/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-112051907/ 2*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+173766240*n^7*(n-1)^n/(n-1)^3/( n^n)^2*(n-4)^n/(n-4)^12-801/4*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+73/ 12*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+47213/12*n^17*(n-1)^n/(n-1)^3/ (n^n)^2*(n-4)^n/(n-4)^12+1895113/4*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 12-37913249/12*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-617705/12*n^16*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-853261912/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^12-39916800*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-1/12*n^ 20*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-67/216/(n^n)*n^21*(n-6)^n/(n-6)^16+ 1/432/(n^n)*n^22*(n-6)^n/(n-6)^16+2777/144/(n^n)*n^20*(n-6)^n/(n-6)^16-5911/8/( n^n)*n^19*(n-6)^n/(n-6)^16+1407167/72/(n^n)*n^18*(n-6)^n/(n-6)^16-13640609/36/( n^n)*n^17*(n-6)^n/(n-6)^16-6889842557/108/(n^n)*n^15*(n-6)^n/(n-6)^16+ 82706226551/144/(n^n)*n^14*(n-6)^n/(n-6)^16-32828414333/8/(n^n)*n^13*(n-6)^n/(n -6)^16+3361024485221/144/(n^n)*n^12*(n-6)^n/(n-6)^16-7601560019027/72/(n^n)*n^ 11*(n-6)^n/(n-6)^16+1205105411/216/(n^n)*n^16*(n-6)^n/(n-6)^16+10200408258499/ 27/(n^n)*n^10*(n-6)^n/(n-6)^16+4358248637480/(n^n)*n^6*(n-6)^n/(n-6)^16-\ 3474477074400/(n^n)*n^5*(n-6)^n/(n-6)^16+20577441930233/9/(n^n)*n^8*(n-6)^n/(n-\ 6)^16-28585837173611/27/(n^n)*n^9*(n-6)^n/(n-6)^16+1671484752000/(n^n)*n^4*(n-6 )^n/(n-6)^16-11134888520114/3/(n^n)*n^7*(n-6)^n/(n-6)^16-363242880000/(n^n)*n^3 *(n-6)^n/(n-6)^16-1612800*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^11+ 261009100/3*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+1095179264*n^12*( (n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-843622032*n^11*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-4)^n/(n-4)^12+581709072*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-\ 4)^12-782088373/3*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+387449280*n ^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-52019/12*n^21*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-4)^n/(n-4)^12+2549/12*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/( n-4)^12+237377/4*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+49283927/12* n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-87229659/4*n^17*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-6920749/12*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 4)^n/(n-4)^12-2846900876/3*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-\ 79833600*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+1/12*n^24*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+1/108*n^28*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^ n/(n-5)^13+28671863/36/(n^n)*n^10*(n-4)^n/(n-4)^12+125556848/3/(n^n)*n^6*(n-4)^ n/(n-4)^12-43003996/(n^n)*n^5*(n-4)^n/(n-4)^12+103818484/9/(n^n)*n^8*(n-4)^n/(n -4)^12-128518753/36/(n^n)*n^9*(n-4)^n/(n-4)^12+25634640/(n^n)*n^4*(n-4)^n/(n-4) ^12-71/36/(n^n)*n^15*(n-4)^n/(n-4)^12+1/36/(n^n)*n^16*(n-4)^n/(n-4)^12+2261/36/ (n^n)*n^14*(n-4)^n/(n-4)^12+59147/4/(n^n)*n^12*(n-4)^n/(n-4)^12-1540231/12/(n^n )*n^11*(n-4)^n/(n-4)^12-42691/36/(n^n)*n^13*(n-4)^n/(n-4)^12-238295684/9/(n^n)* n^7*(n-4)^n/(n-4)^12-6652800/(n^n)*n^3*(n-4)^n/(n-4)^12+85/6*(n-2)^n/(n-2)^6/(n ^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2) ^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^ 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1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+745936/9*n^17*((n-1)^n)^3/(n-1)^15/(n^ n)^4*(n-2)^n/(n-2)^6-3670274/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2) ^6+84992/3*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-9084500/81*n^16*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-5120*n^12*((n-1)^n)^3/(n-1)^15/(n^n) ^4*(n-2)^n/(n-2)^6-3448790272*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^ 12+148003182184/27*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-\ 31017024748/9*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+1263828480*n^ 13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-65667265/54*n^24*((n-1)^n)^3/( n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+7371799/54*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*( n-4)^n/(n-4)^12+451137469/54*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12 +10255704371/54*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-17140293035/ 27*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-4846717271/108*n^22*((n-1 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4049291020/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+1803350656/27*n ^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8-613526192/9*n^16*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+51261184*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4 )^n/(n-4)^8-26725888*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+8613888* n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8-1290240*n^12*((n-1)^n)^3/(n-1 )^15/(n^n)^4*(n-4)^n/(n-4)^8+2431/27*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/ (n-4)^8-19559/18*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+261343/27*n^ 25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+13/54*n^33*((n-1)^n)^5/(n-1)^19 /(n^n)^6*(n-2)^n/(n-2)^8-1/216*n^34*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^ 8-1247/216*n^32*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8+9155/108*n^31*((n-\ 1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8-184283/216*n^30*((n-1)^n)^5/(n-1)^19/( n^n)^6*(n-2)^n/(n-2)^8+168536/27*n^29*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2 )^8-2472995/72*n^28*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8+15660967/108*n ^27*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8-25636339/54*n^26*((n-1)^n)^5/( n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8+32652211/27*n^25*((n-1)^n)^5/(n-1)^19/(n^n)^6*( n-2)^n/(n-2)^8-64500218/27*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8+ 97754884/27*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8-111411880/27*n^22 *((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8+30759728/9*n^21*((n-1)^n)^5/(n-1) ^19/(n^n)^6*(n-2)^n/(n-2)^8-1939264*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/( n-2)^8+673024*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8-107520*n^18*((n -1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^8+1/72*n^32*((n-1)^n)^4/(n-1)^16/(n^n)^ 5*(n-3)^n/(n-3)^9+88280207/18*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9 -135197567/9*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+325717906/9*n^22 *((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+4360130225/162*n^13*(n-1)^n/(n-1) ^5/(n^n)^2*(n-4)^n/(n-4)^12+786641080/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^12-586157248/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+12464402260/81*n ^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-5991724802/81*n^12*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^12+87578240*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12 -244258/81*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+32455/162*n^19*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+5287915/162*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^12+259739645/162*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 2428307783/324*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-42561541/162*n^16* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-6408855332/27*n^10*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^12-17740800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+20/ 81*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1463/162*n^20*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^12-1/324*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 613756628/9*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+99272328*n^20*((n -1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-983574224/9*n^19*((n-1)^n)^4/(n-1)^16 /(n^n)^5*(n-3)^n/(n-3)^9+263531200/3*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/ (n-3)^9-48561408*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+16475136*n^ 16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-2580480*n^15*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-3)^n/(n-3)^9-5/6*n^31*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^ 9+1663/72*n^30*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-14143/36*n^29*((n-1 )^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+330763/72*n^28*((n-1)^n)^4/(n-1)^16/(n^ n)^5*(n-3)^n/(n-3)^9-352819/9*n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9 +18205289/72*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-45336907/36*n^25 *((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-1/72*n^30*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-4)^n/(n-4)^10-156113/18*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4 )^10+3153263/36*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10-8065577/12*n ^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+1/1296/(n^n)*n^20*(n-5)^n/(n-\ 5)^15-19/216/(n^n)*n^19*(n-5)^n/(n-5)^15+83/18/(n^n)*n^18*(n-5)^n/(n-5)^15-5309 /36/(n^n)*n^17*(n-5)^n/(n-5)^15-305123/6/(n^n)*n^15*(n-5)^n/(n-5)^15+48697207/ 81/(n^n)*n^14*(n-5)^n/(n-5)^15-586105949/108/(n^n)*n^13*(n-5)^n/(n-5)^15+ 605143253/16/(n^n)*n^12*(n-5)^n/(n-5)^15-14717052779/72/(n^n)*n^11*(n-5)^n/(n-5 )^15+695387/216/(n^n)*n^16*(n-5)^n/(n-5)^15+23097691526/27/(n^n)*n^10*(n-5)^n/( n-5)^15+15662182184/(n^n)*n^6*(n-5)^n/(n-5)^15-40663135648/3/(n^n)*n^5*(n-5)^n/ (n-5)^15+543983918209/81/(n^n)*n^8*(n-5)^n/(n-5)^15-8258229161/3/(n^n)*n^9*(n-5 )^n/(n-5)^15+6998311040/(n^n)*n^4*(n-5)^n/(n-5)^15-327748252802/27/(n^n)*n^7*(n -5)^n/(n-5)^15-1614412800/(n^n)*n^3*(n-5)^n/(n-5)^15+1/3*n^18*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^6-26/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^ 6+98*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-632*n^15*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-2)^n/(n-2)^6+2559*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2) ^6-6738*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+34556/3*n^12*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-36904/3*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 2)^n/(n-2)^6+7424*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1920*n^9*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1/3*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^7+32/3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-150*n^14*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-1/36*n^30*((n-1)^n)^6/(n-1)^24/(n^n)^6+11/12*n^ 29*((n-1)^n)^6/(n-1)^24/(n^n)^6-55/4*n^28*((n-1)^n)^6/(n-1)^24/(n^n)^6+4463/36* n^27*((n-1)^n)^6/(n-1)^24/(n^n)^6-2245/3*n^26*((n-1)^n)^6/(n-1)^24/(n^n)^6+9559 /3*n^25*((n-1)^n)^6/(n-1)^24/(n^n)^6-88328/9*n^24*((n-1)^n)^6/(n-1)^24/(n^n)^6+ 22036*n^23*((n-1)^n)^6/(n-1)^24/(n^n)^6-107408/3*n^22*((n-1)^n)^6/(n-1)^24/(n^n )^6+369520/9*n^21*((n-1)^n)^6/(n-1)^24/(n^n)^6-31552*n^20*((n-1)^n)^6/(n-1)^24/ (n^n)^6+14592*n^19*((n-1)^n)^6/(n-1)^24/(n^n)^6-112/9/(n^n)*n^15*(n-5)^n/(n-5)^ 11+12887/36/(n^n)*n^14*(n-5)^n/(n-5)^11-55097/9/(n^n)*n^13*(n-5)^n/(n-5)^11+ 832447/12/(n^n)*n^12*(n-5)^n/(n-5)^11-1648262/3/(n^n)*n^11*(n-5)^n/(n-5)^11+7/ 36/(n^n)*n^16*(n-5)^n/(n-5)^11+112511861/36/(n^n)*n^10*(n-5)^n/(n-5)^11+ 369079396/3/(n^n)*n^6*(n-5)^n/(n-5)^11-119600768/(n^n)*n^5*(n-5)^n/(n-5)^11+ 348125008/9/(n^n)*n^8*(n-5)^n/(n-5)^11-116203241/9/(n^n)*n^9*(n-5)^n/(n-5)^11+ 67945920/(n^n)*n^4*(n-5)^n/(n-5)^11-745612252/9/(n^n)*n^7*(n-5)^n/(n-5)^11-\ 16934400/(n^n)*n^3*(n-5)^n/(n-5)^11+7/36/(n^n)*n^12*(n-3)^n/(n-3)^9-133/18/(n^n )*n^11*(n-3)^n/(n-3)^9+721/6/(n^n)*n^10*(n-3)^n/(n-3)^9-3283/3/(n^n)*n^9*(n-3)^ n/(n-3)^9+73549/12/(n^n)*n^8*(n-3)^n/(n-3)^9-130879/6/(n^n)*n^7*(n-3)^n/(n-3)^9 +442211/9/(n^n)*n^6*(n-3)^n/(n-3)^9-605206/9/(n^n)*n^5*(n-3)^n/(n-3)^9+50456/(n ^n)*n^4*(n-3)^n/(n-3)^9-15680/(n^n)*n^3*(n-3)^n/(n-3)^9+2520417757/3*n^15*(n-1) ^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-136541924441/36*n^14*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-5)^n/(n-5)^15+6187601/36*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+ 120519445501/9*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+134636228752*n^9*( n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-102321204416*n^8*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-5)^n/(n-5)^15+2071212594824/27*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 15-989928292903/27*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+46833104640*n^ 7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-1078375424572/9*n^10*(n-1)^n/(n-1)^3 /(n^n)^2*(n-5)^n/(n-5)^15-9686476800*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 15-32*n^12*((n-1)^n)^4/(n-1)^14/(n^n)^4-1/432*n^24*(n-1)^n/(n-1)^3/(n^n)^2*(n-5 )^n/(n-5)^15+29/108*n^23*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-517/36*n^22*( n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+5641/12*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n -5)^n/(n-5)^15-759095/72*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-56935528 /27*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+2147895503/108*n^17*(n-1)^n/( n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-21027715423/144*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n -5)^n/(n-5)^15+1/108*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1543/54* n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-35381/54*n^23*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-4)^n/(n-4)^12-41/54*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n -4)^12+10101053/216*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-21554153/ 108*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+17535424/27*n^16*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-43501718/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-3)^n/(n-3)^9+81569338/27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3) ^9-113472404/27*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+37761328/9*n^ 12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-2835136*n^11*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^9+1157888*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n -3)^9-215040*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1/216*n^24*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-7/27*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-3)^n/(n-3)^9+1435/216*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-11161 /108*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+235735/216*n^20*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-447581/54*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-3)^n/(n-3)^9+1/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/6*n^ 20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+59/6*n^19*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^10-1577/6*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-11578451/6 *n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+47936509/6*n^13*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^10-74005742/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 10+169501648/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-94427792*n^10*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+111557448*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^10-87947136*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+41330304*n^7 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-8709120*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^10+25303/6*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-90733/2*n ^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+692107/2*n^15*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^10+73/18*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-2443/ 18*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1/18*n^22*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^11+1/2/(n^n)*n^10*(n-3)^n/(n-3)^7-23/2/(n^n)*n^9*(n-3)^n/(n-3 )^7+217/2/(n^n)*n^8*(n-3)^n/(n-3)^7-1085/2/(n^n)*n^7*(n-3)^n/(n-3)^7+1547/(n^n) *n^6*(n-3)^n/(n-3)^7-2506/(n^n)*n^5*(n-3)^n/(n-3)^7+2124/(n^n)*n^4*(n-3)^n/(n-3 )^7-720/(n^n)*n^3*(n-3)^n/(n-3)^7+100205/18*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-5)^n/(n-5)^11-2409469/36*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11-\ 12275/36*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11+15827603/18*n^21*(( n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-56625001/18*n^20*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-3)^n/(n-3)^9+78572566/9*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n /(n-3)^9-168572774/9*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+ 276611080/9*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-340228792/9*n^16* ((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+101038880/3*n^15*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-3)^n/(n-3)^9-20484480*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/ (n-3)^9+7592448*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1290240*n^12* ((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1/72*n^28*((n-1)^n)^3/(n-1)^13/(n^ n)^4*(n-3)^n/(n-3)^9+29/36*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-\ 1547/72*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+3149/9*n^25*((n-1)^n) ^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-280379/72*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-3)^n/(n-3)^9+1130897/36*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-\ 1520189/8*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-20527/36*n^23*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+67793/9*n^22*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-4)^n/(n-4)^10-2610919/36*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4) ^10-1597669355/36*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+1077046402 /9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-2266850846/9*n^15*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+408591662*n^14*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-4)^n/(n-4)^10-499967932*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^ 10+445390512*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-271975104*n^11* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+101530368*n^10*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-4)^n/(n-4)^10-17418240*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/( n-4)^10+18974893/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-\ 106329845/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+930311495/72*n^ 18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+1/72*n^26*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-4)^n/(n-4)^10-17/18*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4) ^10+1067/36*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+1/324*n^32*((n-1 )^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11-2/9*n^31*((n-1)^n)^4/(n-1)^14/(n^n)^5* (n-3)^n/(n-3)^11+2377/324*n^30*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11-\ 11945/81*n^29*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11+654883/324*n^28*((n -1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11-1623812/81*n^27*((n-1)^n)^4/(n-1)^14 /(n^n)^5*(n-3)^n/(n-3)^11+48277115/324*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^ n/(n-3)^11-68680301/81*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11+ 303006374/81*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11-1042671652/81*n ^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11+2799383936/81*n^22*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11-5832608368/81*n^21*((n-1)^n)^4/(n-1)^14/(n^ n)^5*(n-3)^n/(n-3)^11+345111520/3*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-\ 3)^11-11177099968/81*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11+ 3240782272/27*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11-642043904/9*n^ 17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^11+77573120/3*n^16*((n-1)^n)^4/(n -1)^14/(n^n)^5*(n-3)^n/(n-3)^11-4300800*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3) ^n/(n-3)^11-1/108*n^30*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+ 45151561918/27*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+5753928032*n^ 15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-1/3*n^22*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-2)^n/(n-2)^6+28/3*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-\ 346/3*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+828*n^19*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-2)^n/(n-2)^6-3823*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/( n-2)^6+11856*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-74984/3*n^16*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+106016/3*n^15*((n-1)^n)^3/(n-1)^11/(n ^n)^4*(n-2)^n/(n-2)^6-96080/3*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6 +16768*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-3840*n^12*((n-1)^n)^3/ (n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+1/3*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^7-34/3*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+514/3*n^18*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-1520*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^7+8791*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-34794*n^15*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+288392/3*n^14*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^7-555920/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+ 732176/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-208928*n^11*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+104448*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^7-23040*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-1/12*n^22*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+89/12*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^ n/(n-5)^13-3619/12*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-1488457/12*n^ 18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+17834843/12*n^17*(n-1)^n/(n-1)^3/(n ^n)^2*(n-5)^n/(n-5)^13-158528513/12*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 13+1065370735/12*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-2732973529/6*n^ 14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+89165/12*n^19*(n-1)^n/(n-1)^3/(n^n) ^2*(n-5)^n/(n-5)^13+5365528168/3*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+ 23778645408*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-18896715648*n^8*(n-1)^ n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+17/216*n^29*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4 )^n/(n-4)^14-1/1296*n^30*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14+34151/324 *n^27*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14-1332569/648*n^26*((n-1)^n)^3 /(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14-49884133/162*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-4)^n/(n-4)^14+810053543/324*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^ 14-20421401429/1296*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14+ 50300925389/648*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14-97041128093/ 324*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14+2353718/81*n^25*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^14-3072*n^18*((n-1)^n)^6/(n-1)^24/(n^n)^6-11/ 12*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+122/9*n^18*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^6+8159/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-10745/4*n^15*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/18*n^14*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-2)^n/(n-2)^6-43447/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2 )^6+173818/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-16792*n^11*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+8544*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^6-1920*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/18*n^18 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^9-493/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+6101/9*n^15*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11017/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^9+185677/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1108474/9*n^12 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+3146648/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2 *(n-3)^n/(n-3)^9-6317168/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+8736136 /9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-2628736/3*n^8*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^9+462464*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-107520 *n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-512*n^15*((n-1)^n)^5/(n-1)^23/(n^n )^5 The, 4, 1, mixed moment of, X[2], and , X[4], is 6 n 2 15 n 5 20 n 3 n 8 n ((n - 1) ) 256 n ((n - 1) ) 2 n ((n - 1) ) (n - 2) - ---------------- - ------------------- - -------------------------- 8 n 2 17 n 5 9 n 4 6 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 14 n ((n - 1) ) (n - 2) 374 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 1846 n ((n - 1) ) (n - 2) 5528 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 10288 n ((n - 1) ) (n - 2) 3872 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 7264 n ((n - 1) ) (n - 2) 640 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 3) 27 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 313 n ((n - 1) ) (n - 3) 2045 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 8302 n ((n - 1) ) (n - 3) 21728 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 36672 n ((n - 1) ) (n - 3) 38480 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 22752 n ((n - 1) ) (n - 3) 5760 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 15 n n 2 n (n - 1) (n - 4) 70 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 356 n (n - 1) (n - 4) 3116 n (n - 1) (n - 4) - ------------------------- + -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 17318 n (n - 1) (n - 4) 63826 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 473632 n (n - 1) (n - 4) 775712 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 267968 n (n - 1) (n - 4) 158304 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 20 n 3 n 40320 n (n - 1) (n - 4) n ((n - 1) ) (n - 2) - -------------------------- - ------------------------ 3 n 2 8 11 n 4 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 19 n ((n - 1) ) (n - 2) 3496 n ((n - 1) ) (n - 2) + --------------------------- + ----------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 3760 n ((n - 1) ) (n - 2) 2256 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 18 n 3 n 576 n ((n - 1) ) (n - 2) 155 n ((n - 1) ) (n - 2) - ---------------------------- - ---------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 709 n ((n - 1) ) (n - 2) 1988 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 11 n 4 4 11 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 14 n 2 n 2 n ((n - 1) ) (n - 3) 3216 n ((n - 1) ) (n - 3) + -------------------------- + ----------------------------- 8 n 3 5 8 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 7632 n ((n - 1) ) (n - 3) 35488 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 34592 n ((n - 1) ) (n - 3) 6400 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 8 n 3 5 8 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 1536 n ((n - 1) ) (n - 3) 46 n ((n - 1) ) (n - 3) - ---------------------------- - --------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 154 n ((n - 1) ) (n - 3) 886 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 3 5 8 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 463 n (n - 1) (n - 4) 4455 n (n - 1) (n - 4) + ------------------------- - -------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 14415 n (n - 1) (n - 4) 47599 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 6 5 n 2 6 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 70286 n (n - 1) (n - 4) 22164 n (n - 1) (n - 4) + -------------------------- - -------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 12096 n (n - 1) (n - 4) 2880 n (n - 1) (n - 4) + -------------------------- - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n n (n - 1) (n - 4) 29 n (n - 1) (n - 4) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 14 n n 14 n 2 n 62 n (n - 1) (n - 4) 242 n ((n - 1) ) (n - 2) - ------------------------ + ---------------------------- 5 n 2 6 8 n 3 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 13 n 2 n 11 n n 934 n ((n - 1) ) (n - 2) 951 n (n - 1) (n - 3) - ---------------------------- + ------------------------- 8 n 3 4 5 n 2 5 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 10 n n 9 n n 2922 n (n - 1) (n - 3) 5604 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 6536 n (n - 1) (n - 3) 4224 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 1152 n (n - 1) (n - 3) n (n - 1) (n - 3) - ------------------------- - ----------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 12 n n 21 n (n - 1) (n - 3) 189 n (n - 1) (n - 3) + ------------------------ - ------------------------- 5 n 2 5 5 n 2 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 149 n ((n - 1) ) (n - 2) 625 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 1514 n ((n - 1) ) (n - 2) 2116 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1576 n ((n - 1) ) (n - 2) 480 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n 2 n (n - 1) (n - 3) 50 n (n - 1) (n - 3) - ----------------------- + ------------------------ 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 526 n (n - 1) (n - 3) 3038 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 10528 n (n - 1) (n - 3) 22400 n (n - 1) (n - 3) - --------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 28544 n (n - 1) (n - 3) 19872 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n 2 n 5760 n (n - 1) (n - 3) 2 n ((n - 1) ) (n - 2) - ------------------------- + -------------------------- 3 n 2 7 8 n 3 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 2108 n ((n - 1) ) (n - 2) 2776 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1968 n ((n - 1) ) (n - 2) 576 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 8 n 3 4 8 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 10 n n 34 n ((n - 1) ) (n - 2) 637 n (n - 1) (n - 2) - --------------------------- - ------------------------- 8 n 3 4 5 n 2 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 9 n n 8 n n 665 n (n - 1) (n - 2) 1694 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 4 5 n 2 4 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 490 n (n - 1) (n - 2) 168 n (n - 1) (n - 2) + ------------------------ - ------------------------ 5 n 2 4 5 n 2 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 2 n (n - 1) (n - 2) 34 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 230 n (n - 1) (n - 2) 790 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 1448 n (n - 1) (n - 2) 1336 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 12 n n 160 n (n - 1) (n - 2) 7 n (n - 1) (n - 2) - ------------------------ - ------------------------- 3 n 2 6 5 n 2 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 11 n n 18 n 4 17 n 4 35 n (n - 1) (n - 2) n ((n - 1) ) 15 n ((n - 1) ) + ------------------------- - --------------- + ------------------ 5 n 2 4 14 n 4 14 n 4 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 1) (n ) 16 n 4 15 n 4 14 n 4 92 n ((n - 1) ) 296 n ((n - 1) ) 528 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 14 n 4 14 n 4 14 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 4 12 n 11 n 10 n 496 n ((n - 1) ) n (n - 4) 33 n (n - 4) 468 n (n - 4) + ------------------- + ------------ - --------------- + ---------------- 14 n 4 n 8 n 8 n 8 (n - 1) (n ) n (n - 4) n (n - 4) n (n - 4) 9 n 8 n 7 n 3738 n (n - 4) 18501 n (n - 4) 58737 n (n - 4) - ---------------- + ----------------- - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 119342 n (n - 4) 149172 n (n - 4) 103608 n (n - 4) + ------------------ - ------------------ + ------------------ n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 3 n 21 n 5 20 n 5 30240 n (n - 4) 34 n ((n - 1) ) 244 n ((n - 1) ) - ----------------- - ------------------ + ------------------- n 8 17 n 5 17 n 5 n (n - 4) 3 (n - 1) (n ) 3 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 320 n ((n - 1) ) 2240 n ((n - 1) ) 3104 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 16 n 5 14 n 13 n 2368 n ((n - 1) ) n (n - 5) 15 n (n - 5) + -------------------- + ------------- - --------------- 17 n 5 n 9 n 9 3 (n - 1) (n ) 6 n (n - 5) 2 n (n - 5) 12 n 11 n 10 n 448 n (n - 5) 1735 n (n - 5) 26111 n (n - 5) + ---------------- - ----------------- + ------------------ n 9 n 9 n 9 3 n (n - 5) n (n - 5) 2 n (n - 5) 9 n 8 n 7 n 133455 n (n - 5) 708109 n (n - 5) 576810 n (n - 5) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 2 n (n - 5) 3 n (n - 5) n (n - 5) 6 n 22 n 5 10 n 2 2856308 n (n - 5) 2 n ((n - 1) ) n ((n - 1) ) + ------------------- + ----------------- - ---------------- n 9 17 n 5 8 n 2 3 n (n - 5) 3 (n - 1) (n ) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 11 n ((n - 1) ) 22 n ((n - 1) ) 38 n ((n - 1) ) + ----------------- - ----------------- + ----------------- 8 n 2 8 n 2 8 n 2 6 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 5 n 4 n (n - 2) n 5 (n - 2) n 1007840 n (n - 5) 613056 n (n - 5) + ------------- - ------------- - ------------------- + ------------------ 6 n 6 n n 9 n 9 6 (n - 2) n 2 (n - 2) n n (n - 5) n (n - 5) 3 n 9 n 3 12 n 4 161280 n (n - 5) 64 n ((n - 1) ) 192 n ((n - 1) ) - ------------------ - ----------------- - ------------------- n 9 11 n 3 14 n 4 n (n - 5) (n - 1) (n ) (n - 1) (n ) 14 n 3 13 n 3 12 n 3 2 n ((n - 1) ) 26 n ((n - 1) ) 44 n ((n - 1) ) + ----------------- - ------------------ + ------------------ 11 n 3 11 n 3 11 n 3 3 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 11 n 3 10 n 3 10 n 328 n ((n - 1) ) 400 n ((n - 1) ) 7 n (n - 3) - ------------------- + ------------------- + -------------- 11 n 3 11 n 3 n 7 3 (n - 1) (n ) 3 (n - 1) (n ) 6 n (n - 3) 9 n 8 n 7 n 161 n (n - 3) 1519 n (n - 3) 7595 n (n - 3) - --------------- + ---------------- - ---------------- n 7 n 7 n 7 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 6 n 5 n 4 n 10829 n (n - 3) 17542 n (n - 3) 4956 n (n - 3) + ----------------- - ----------------- + ---------------- n 7 n 7 n 7 3 n (n - 3) 3 n (n - 3) n (n - 3) 3 n 1680 n (n - 3) - ---------------- n 7 n (n - 3) and in Maple notation -8*n^6*((n-1)^n)^2/(n-1)^8/(n^n)^2-256*n^15*((n-1)^n)^5/(n-1)^17/(n^n)^5-2/3*n^ 20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+14*n^19*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-2)^n/(n-2)^6-374/3*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+1846 /3*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-5528/3*n^16*((n-1)^n)^3/(n-\ 1)^9/(n^n)^4*(n-2)^n/(n-2)^6+10288/3*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/( n-2)^6-3872*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+7264/3*n^13*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-640*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2 )^n/(n-2)^6+n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-27*n^17*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+313*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/ (n-3)^7-2045*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+8302*n^14*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-21728*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^7+36672*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-38480*n^11* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+22752*n^10*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-3)^n/(n-3)^7-5760*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-2/3*n^ 16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+70/3*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n -4)^n/(n-4)^8-356*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+3116*n^13*(n-1)^ n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-17318*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n -4)^8+63826*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-473632/3*n^10*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+775712/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n -4)^8-267968*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+158304*n^7*(n-1)^n/(n-\ 1)^3/(n^n)^2*(n-4)^n/(n-4)^8-40320*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8- n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4+19*n^19*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-2)^n/(n-2)^4+3496*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4-\ 3760*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4+2256*n^13*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-2)^n/(n-2)^4-576*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n -2)^4-155*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4+709*n^17*((n-1)^n)^ 3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^4-1988*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2) ^n/(n-2)^4+2/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+3216*n^14*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5-7632*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -3)^n/(n-3)^5+35488/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5-34592/3* n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+6400*n^10*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^5-1536*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5-46 /3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+154*n^16*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-3)^n/(n-3)^5-886*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^5+ 463*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^6-4455/2*n^12*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^6+14415/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^6-\ 47599/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^6+70286/3*n^9*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-4)^n/(n-4)^6-22164*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^6+ 12096*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^6-2880*n^6*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^6-1/6*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^6+29/6*n^15* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^6-62*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^6+242*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-934*n^13*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+951*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^5-2922*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+5604*n^9*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^5-6536*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+4224 *n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5-1152*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^5-n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+21*n^13*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^5-189*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^5+n ^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-19*n^15*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-2)^n/(n-2)^6+149*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-625*n ^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+1514*n^12*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-2)^n/(n-2)^6-2116*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+ 1576*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-480*n^9*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-2)^n/(n-2)^6-2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+50*n^ 13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-526*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 3)^n/(n-3)^7+3038*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-10528*n^10*(n-1) ^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+22400*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n -3)^7-28544*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+19872*n^7*(n-1)^n/(n-1) ^3/(n^n)^2*(n-3)^n/(n-3)^7-5760*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+2*n ^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+2108*n^12*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^4-2776*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4+ 1968*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-576*n^9*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^4-34*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^4-\ 637/6*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4+665/2*n^9*(n-1)^n/(n-1)^5/(n ^n)^2*(n-2)^n/(n-2)^4-1694/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4+490*n^ 7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4-168*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2) ^n/(n-2)^4-2/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+34/3*n^11*(n-1)^n/( n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-230/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2) ^6+790/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-1448/3*n^8*(n-1)^n/(n-1)^3 /(n^n)^2*(n-2)^n/(n-2)^6+1336/3*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-160 *n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-7/6*n^12*(n-1)^n/(n-1)^5/(n^n)^2*( n-2)^n/(n-2)^4+35/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^4-n^18*((n-1)^n) ^4/(n-1)^14/(n^n)^4+15*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^4-92*n^16*((n-1)^n)^4/(n -1)^14/(n^n)^4+296*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^4-528*n^14*((n-1)^n)^4/(n-1) ^14/(n^n)^4+496*n^13*((n-1)^n)^4/(n-1)^14/(n^n)^4+1/(n^n)*n^12*(n-4)^n/(n-4)^8-\ 33/(n^n)*n^11*(n-4)^n/(n-4)^8+468/(n^n)*n^10*(n-4)^n/(n-4)^8-3738/(n^n)*n^9*(n-\ 4)^n/(n-4)^8+18501/(n^n)*n^8*(n-4)^n/(n-4)^8-58737/(n^n)*n^7*(n-4)^n/(n-4)^8+ 119342/(n^n)*n^6*(n-4)^n/(n-4)^8-149172/(n^n)*n^5*(n-4)^n/(n-4)^8+103608/(n^n)* n^4*(n-4)^n/(n-4)^8-30240/(n^n)*n^3*(n-4)^n/(n-4)^8-34/3*n^21*((n-1)^n)^5/(n-1) ^17/(n^n)^5+244/3*n^20*((n-1)^n)^5/(n-1)^17/(n^n)^5-320*n^19*((n-1)^n)^5/(n-1)^ 17/(n^n)^5+2240/3*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^5-3104/3*n^17*((n-1)^n)^5/(n-\ 1)^17/(n^n)^5+2368/3*n^16*((n-1)^n)^5/(n-1)^17/(n^n)^5+1/6/(n^n)*n^14*(n-5)^n/( n-5)^9-15/2/(n^n)*n^13*(n-5)^n/(n-5)^9+448/3/(n^n)*n^12*(n-5)^n/(n-5)^9-1735/(n ^n)*n^11*(n-5)^n/(n-5)^9+26111/2/(n^n)*n^10*(n-5)^n/(n-5)^9-133455/2/(n^n)*n^9* (n-5)^n/(n-5)^9+708109/3/(n^n)*n^8*(n-5)^n/(n-5)^9-576810/(n^n)*n^7*(n-5)^n/(n-\ 5)^9+2856308/3/(n^n)*n^6*(n-5)^n/(n-5)^9+2/3*n^22*((n-1)^n)^5/(n-1)^17/(n^n)^5-\ 1/6*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^2+11/6*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^2-22/3* n^8*((n-1)^n)^2/(n-1)^8/(n^n)^2+38/3*n^7*((n-1)^n)^2/(n-1)^8/(n^n)^2+85/6*(n-2) ^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^6/(n^n) *n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-\ 2)^6/(n^n)*n^7-1007840/(n^n)*n^5*(n-5)^n/(n-5)^9+613056/(n^n)*n^4*(n-5)^n/(n-5) ^9-161280/(n^n)*n^3*(n-5)^n/(n-5)^9-64*n^9*((n-1)^n)^3/(n-1)^11/(n^n)^3-192*n^ 12*((n-1)^n)^4/(n-1)^14/(n^n)^4+2/3*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^3-26/3*n^13 *((n-1)^n)^3/(n-1)^11/(n^n)^3+44*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^3-328/3*n^11*( (n-1)^n)^3/(n-1)^11/(n^n)^3+400/3*n^10*((n-1)^n)^3/(n-1)^11/(n^n)^3+7/6/(n^n)*n ^10*(n-3)^n/(n-3)^7-161/6/(n^n)*n^9*(n-3)^n/(n-3)^7+1519/6/(n^n)*n^8*(n-3)^n/(n -3)^7-7595/6/(n^n)*n^7*(n-3)^n/(n-3)^7+10829/3/(n^n)*n^6*(n-3)^n/(n-3)^7-17542/ 3/(n^n)*n^5*(n-3)^n/(n-3)^7+4956/(n^n)*n^4*(n-3)^n/(n-3)^7-1680/(n^n)*n^3*(n-3) ^n/(n-3)^7 The, 4, 2, mixed moment of, X[2], and , X[4], is 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 2) 14 n ((n - 1) ) (n - 2) -------------------------- - --------------------------- 16 n 5 4 16 n 5 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 176 n ((n - 1) ) (n - 2) 437 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 16 n 5 4 16 n 5 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 4285 n ((n - 1) ) (n - 2) 101272 n ((n - 1) ) (n - 2) + ----------------------------- + ------------------------------- 16 n 5 4 16 n 5 4 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 25680 n ((n - 1) ) (n - 2) 11520 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 16 n 5 4 16 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 4 n 2304 n ((n - 1) ) (n - 2) 7257 n ((n - 1) ) (n - 2) - ----------------------------- - ----------------------------- 16 n 5 4 16 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 51964 n ((n - 1) ) (n - 2) 87352 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 16 n 5 4 16 n 5 4 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 32 n ((n - 1) ) (n - 3) 464 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 13 n 4 5 13 n 4 5 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 21 n 3 n 24 n 3 n 4030 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ----------------------------- - -------------------------- 13 n 4 5 13 n 4 5 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 590416 n ((n - 1) ) (n - 3) 901360 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 13 n 4 5 13 n 4 5 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 964256 n ((n - 1) ) (n - 3) 76160 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 13 n 4 5 13 n 4 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 32256 n ((n - 1) ) (n - 3) 6144 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 13 n 4 5 13 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 7781 n ((n - 1) ) (n - 3) 31654 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 13 n 4 5 13 n 4 5 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 3 n 22 n 2 n 278096 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ------------------------------- + --------------------------- 13 n 4 5 10 n 3 6 9 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 19 n ((n - 1) ) (n - 4) 659 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 10 n 3 6 10 n 3 6 18 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 898565 n ((n - 1) ) (n - 4) 610621 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 3 6 10 n 3 6 36 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 1227790 n ((n - 1) ) (n - 4) 1802264 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 625148 n ((n - 1) ) (n - 4) 145392 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 3 6 10 n 3 6 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 60864 n ((n - 1) ) (n - 4) 11520 n ((n - 1) ) (n - 4) + ------------------------------ - ----------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 1726 n ((n - 1) ) (n - 4) 5415 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 17 n 2 n 26 n 4 n 40781 n ((n - 1) ) (n - 4) 2 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------- 10 n 3 6 14 n 5 6 6 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 20 n ((n - 1) ) (n - 2) 268 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 6352 n ((n - 1) ) (n - 2) 10958 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 14 n 5 6 14 n 5 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 39004 n ((n - 1) ) (n - 2) 292240 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 170656 n ((n - 1) ) (n - 2) 205408 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 484928 n ((n - 1) ) (n - 2) 74752 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 14 n 5 6 14 n 5 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 4 n 24 n 3 n 5120 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ----------------------------- - -------------------------- 14 n 5 6 11 n 4 7 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 12 n ((n - 1) ) (n - 3) 194 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 5588 n ((n - 1) ) (n - 3) 11831 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 11 n 4 7 11 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 52376 n ((n - 1) ) (n - 3) 497156 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 377568 n ((n - 1) ) (n - 3) 614672 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 2091136 n ((n - 1) ) (n - 3) 522304 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 11 n 4 7 11 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 231936 n ((n - 1) ) (n - 3) 46080 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 88 n ((n - 1) ) (n - 4) 1750 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 20828 n ((n - 1) ) (n - 4) 55178 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 309248 n ((n - 1) ) (n - 4) 3772090 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 11263724 n ((n - 1) ) (n - 4) 24695216 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 39245728 n ((n - 1) ) (n - 4) 14637920 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 3636672 n ((n - 1) ) (n - 4) 1615872 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 22 n 2 n 322560 n ((n - 1) ) (n - 4) 2 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 20 n n 19 n n n (n - 1) (n - 5) 3 n (n - 1) (n - 5) - -------------------------- + ----------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n n 17 n n 1327 n (n - 1) (n - 5) 3278 n (n - 1) (n - 5) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 16 n n 15 n n 196399 n (n - 1) (n - 5) 232921 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 14 n n 13 n n 7306001 n (n - 1) (n - 5) 1583128 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 11 n n 41645392 n (n - 1) (n - 5) 30238696 n (n - 1) (n - 5) - ------------------------------ + ------------------------------ 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 10 n n 9 n n 144845176 n (n - 1) (n - 5) 54733088 n (n - 1) (n - 5) - ------------------------------- + ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 7 n n 13859712 n (n - 1) (n - 5) 6302208 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 26 n 4 n 1290240 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 5 n 2 9 12 n 5 8 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n n ((n - 1) ) (n - 2) 95 n ((n - 1) ) (n - 2) - ------------------------ + --------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 1310 n ((n - 1) ) (n - 2) 10363 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 5 8 12 n 5 8 9 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 10423 n ((n - 1) ) (n - 2) 87113 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 5 8 12 n 5 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 56060 n ((n - 1) ) (n - 2) 73540 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 5 8 12 n 5 8 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 187312 n ((n - 1) ) (n - 2) 10288 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 12 n 5 8 12 n 5 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 3 n 2240 n ((n - 1) ) (n - 2) 9800 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 12 n 5 8 9 n 4 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 73009 n ((n - 1) ) (n - 3) 41532 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 1349060 n ((n - 1) ) (n - 3) 3460336 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 2088080 n ((n - 1) ) (n - 3) 7809088 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 4 9 9 n 4 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 6364352 n ((n - 1) ) (n - 3) 338176 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 24 n 3 n 71680 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ - ------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 44 n ((n - 1) ) (n - 3) 286 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 4) 9 n ((n - 1) ) (n - 4) + -------------------------- - -------------------------- 6 n 3 10 6 n 3 10 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 193607 n ((n - 1) ) (n - 4) 5482475 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 3129397 n ((n - 1) ) (n - 4) 7776688 n ((n - 1) ) (n - 4) - -------------------------------- + -------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 41544392 n ((n - 1) ) (n - 4) 17171720 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 6 n 3 10 6 n 3 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 14033424 n ((n - 1) ) (n - 4) 6767424 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 20 n 2 n 1451520 n ((n - 1) ) (n - 4) 435 n ((n - 1) ) (n - 4) - ------------------------------- + ---------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 9337 n ((n - 1) ) (n - 4) 58809 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 6 n 3 10 6 n 3 10 3 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 18 n n 17 n n 1969 n (n - 1) (n - 5) 11722 n (n - 1) (n - 5) - -------------------------- + --------------------------- 3 n 2 11 3 n 2 11 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 16 n n 15 n n 419731 n (n - 1) (n - 5) 1179706 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 3 n 2 11 3 n 2 11 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 14 n n 19 n n 21724307 n (n - 1) (n - 5) 22 n (n - 1) (n - 5) - ------------------------------ + -------------------------- 3 n 2 11 3 n 2 11 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 13 n n 9 n n 32849366 n (n - 1) (n - 5) 626834912 n (n - 1) (n - 5) + ------------------------------ + ------------------------------ 3 n 2 11 3 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 11 n n 175512832 n (n - 1) (n - 5) 274640432 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 12 n n 7 n n 331732280 n (n - 1) (n - 5) 87329280 n (n - 1) (n - 5) - ------------------------------- + ----------------------------- 3 n 2 11 3 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 1484835824 n (n - 1) (n - 5) 19353600 n (n - 1) (n - 5) - -------------------------------- - ----------------------------- 3 n 2 11 3 n 2 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n n 9 n 3 15 n 5 n (n - 1) (n - 5) 32 n ((n - 1) ) 64 n ((n - 1) ) - -------------------------- - ----------------- - ------------------ 3 n 2 11 13 n 3 17 n 5 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 1) (n ) 20 n 3 n 19 n 3 n 2 n ((n - 1) ) (n - 2) 14 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 374 n ((n - 1) ) (n - 2) 1846 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 5528 n ((n - 1) ) (n - 2) 10288 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 3872 n ((n - 1) ) (n - 2) 7264 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 3 n 18 n 2 n 640 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------ 9 n 4 6 6 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 27 n ((n - 1) ) (n - 3) 313 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 2045 n ((n - 1) ) (n - 3) 8302 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 21728 n ((n - 1) ) (n - 3) 36672 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 38480 n ((n - 1) ) (n - 3) 22752 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n n 5760 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) - ---------------------------- - ------------------------- 6 n 3 7 3 n 2 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 15 n n 14 n n 70 n (n - 1) (n - 4) 356 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 3116 n (n - 1) (n - 4) 17318 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 63826 n (n - 1) (n - 4) 473632 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 775712 n (n - 1) (n - 4) 267968 n (n - 1) (n - 4) + --------------------------- - --------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 158304 n (n - 1) (n - 4) 40320 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 26 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 13 n 4 4 13 n 4 4 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 100 n ((n - 1) ) (n - 2) 674 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 13 n 4 4 13 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 70528 n ((n - 1) ) (n - 2) 20496 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 4 4 13 n 4 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 10368 n ((n - 1) ) (n - 2) 2304 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 13 n 4 4 13 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 2937 n ((n - 1) ) (n - 2) 8640 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 13 n 4 4 13 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 20 n 2 n 52088 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------- 13 n 4 4 10 n 3 5 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 5 n ((n - 1) ) (n - 3) 202 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 77884 n ((n - 1) ) (n - 3) 46480 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 171800 n ((n - 1) ) (n - 3) 46176 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 3 5 10 n 3 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 21888 n ((n - 1) ) (n - 3) 4608 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 537 n ((n - 1) ) (n - 3) 5633 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 3 5 10 n 3 5 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 28 n 6 27 n 6 10194 n ((n - 1) ) (n - 3) 5 n ((n - 1) ) 65 n ((n - 1) ) - ------------------------------ - ------------------ + ------------------ 10 n 3 5 22 n 6 22 n 6 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) 18 (n - 1) (n ) 26 n 6 25 n 6 24 n 6 1505 n ((n - 1) ) 2555 n ((n - 1) ) 11275 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 22 n 6 22 n 6 22 n 6 36 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 33800 n ((n - 1) ) 69740 n ((n - 1) ) 97840 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 22 n 6 22 n 6 22 n 6 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 20 n 6 19 n 6 16 n 2 n 89360 n ((n - 1) ) 16000 n ((n - 1) ) n ((n - 1) ) (n - 2) - --------------------- + --------------------- + ------------------------ 22 n 6 22 n 6 6 n 3 6 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 19 n ((n - 1) ) (n - 2) 149 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 625 n ((n - 1) ) (n - 2) 1514 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 2116 n ((n - 1) ) (n - 2) 1576 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 14 n n 480 n ((n - 1) ) (n - 2) 2 n (n - 1) (n - 3) - --------------------------- - ----------------------- 6 n 3 6 3 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n n 12 n n 50 n (n - 1) (n - 3) 526 n (n - 1) (n - 3) + ------------------------ - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 3038 n (n - 1) (n - 3) 10528 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 22400 n (n - 1) (n - 3) 28544 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 19872 n (n - 1) (n - 3) 5760 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 5 16 n 3 15 n 3 768 n ((n - 1) ) n ((n - 1) ) 5 n ((n - 1) ) - ------------------- + ------------------ - ----------------- 19 n 5 13 n 3 13 n 3 (n - 1) (n ) 36 (n - 1) (n ) 9 (n - 1) (n ) 14 n 3 18 n n 169 n ((n - 1) ) n (n - 1) (n - 4) + ------------------- - ------------------------- 13 n 3 5 n 2 8 36 (n - 1) (n ) 3 (n - 1) (n ) (n - 4) 17 n n 16 n n 14 n (n - 1) (n - 4) 791 n (n - 1) (n - 4) + ------------------------ - ------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 15 n n 14 n n 2944 n (n - 1) (n - 4) 21701 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 111222 n (n - 1) (n - 4) 1218713 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n n 10 n n 1064812 n (n - 1) (n - 4) 5958736 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 2568464 n (n - 1) (n - 4) 2182032 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1090944 n (n - 1) (n - 4) 241920 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 2 n (n - 1) (n - 2) 34 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 230 n (n - 1) (n - 2) 790 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 1448 n (n - 1) (n - 2) 1336 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 18 n 2 n 160 n (n - 1) (n - 2) 129 n ((n - 1) ) (n - 3) - ------------------------ + ---------------------------- 3 n 2 6 6 n 3 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 4126 n ((n - 1) ) (n - 3) 18835 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 9 6 n 3 9 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 43463 n ((n - 1) ) (n - 3) 413752 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 300888 n ((n - 1) ) (n - 3) 442264 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1250960 n ((n - 1) ) (n - 3) 226752 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 53760 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 19 n 2 n 18 n n 7 n ((n - 1) ) (n - 3) n (n - 1) (n - 4) - -------------------------- - -------------------------- 6 n 3 9 3 n 2 10 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 47961 n (n - 1) (n - 4) 291292 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 3734723 n (n - 1) (n - 4) 11306936 n (n - 1) (n - 4) - ----------------------------- + ------------------------------ 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 10 n n 9 n n 24046256 n (n - 1) (n - 4) 11665424 n (n - 1) (n - 4) - ------------------------------ + ----------------------------- 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 11012592 n (n - 1) (n - 4) 6041664 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 1451520 n (n - 1) (n - 4) 52 n (n - 1) (n - 4) - ---------------------------- + -------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n n 15 n n 12 n 1201 n (n - 1) (n - 4) 5424 n (n - 1) (n - 4) n (n - 4) - -------------------------- + -------------------------- + ------------ 3 n 2 10 3 n 2 10 n 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) n (n - 4) 11 n 10 n 9 n 33 n (n - 4) 468 n (n - 4) 3738 n (n - 4) - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 8 n 7 n 6 n 18501 n (n - 4) 58737 n (n - 4) 119342 n (n - 4) + ----------------- - ----------------- + ------------------ n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 149172 n (n - 4) 103608 n (n - 4) 30240 n (n - 4) - ------------------ + ------------------ - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 24 n 5 23 n 5 22 n 5 n ((n - 1) ) 4 n ((n - 1) ) 253 n ((n - 1) ) + ----------------- - ----------------- + ------------------- 19 n 5 19 n 5 19 n 5 6 (n - 1) (n ) (n - 1) (n ) 6 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 769 n ((n - 1) ) 2972 n ((n - 1) ) 7576 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 19 n 5 19 n 5 19 n 5 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 4248 n ((n - 1) ) 13648 n ((n - 1) ) 2816 n ((n - 1) ) + -------------------- - --------------------- + -------------------- 19 n 5 19 n 5 19 n 5 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 13 n n 12 n n 4270 n (n - 1) (n - 3) 14819 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n n 10 n n 25774 n (n - 1) (n - 3) 545440 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 854840 n (n - 1) (n - 3) 284312 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 54208 n (n - 1) (n - 3) 13440 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 40 n (n - 1) (n - 3) 694 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n n 12 n n 2288 n (n - 1) (n - 3) 4753 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 58408 n (n - 1) (n - 3) 477056 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 851216 n (n - 1) (n - 3) 951152 n (n - 1) (n - 3) + --------------------------- - --------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 7 n n 6 n n 66624 n (n - 1) (n - 3) 17920 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 18 n 6 11 n n (n - 1) (n - 3) 1280 n ((n - 1) ) 16415 n (n - 4) - ------------------------- - -------------------- - ------------------ 3 n 2 9 22 n 6 n 10 9 (n - 1) (n ) (n - 3) (n - 1) (n ) 6 n (n - 4) 10 n 9 n 8 n 270067 n (n - 4) 749455 n (n - 4) 17149601 n (n - 4) + ------------------- - ------------------ + -------------------- n 10 n 10 n 10 12 n (n - 4) 6 n (n - 4) 36 n (n - 4) 7 n 6 n 5 n 22424675 n (n - 4) 6552091 n (n - 4) 2436770 n (n - 4) - -------------------- + ------------------- - ------------------- n 10 n 10 n 10 18 n (n - 4) 3 n (n - 4) n (n - 4) 4 n 3 n 14 n 1550472 n (n - 4) 423360 n (n - 4) 7 n (n - 4) + ------------------- - ------------------ + --------------- n 10 n 10 n 10 n (n - 4) n (n - 4) 36 n (n - 4) 13 n 12 n 20 n 4 175 n (n - 4) 2569 n (n - 4) n ((n - 1) ) - ---------------- + ----------------- - ----------------- n 10 n 10 16 n 4 18 n (n - 4) 12 n (n - 4) 9 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 22 n ((n - 1) ) 209 n ((n - 1) ) 1120 n ((n - 1) ) + ------------------ - ------------------- + -------------------- 16 n 4 16 n 4 16 n 4 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 3704 n ((n - 1) ) 7744 n ((n - 1) ) 10000 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 16 n 4 16 n 4 16 n 4 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 13 n 4 12 n 4 21 n 5 2432 n ((n - 1) ) 256 n ((n - 1) ) 17 n ((n - 1) ) + -------------------- - ------------------- - ------------------ 16 n 4 16 n 4 17 n 5 3 (n - 1) (n ) (n - 1) (n ) 6 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 61 n ((n - 1) ) 80 n ((n - 1) ) 560 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 17 n 5 17 n 5 17 n 5 3 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 17 n 5 16 n 5 14 n 776 n ((n - 1) ) 592 n ((n - 1) ) n (n - 5) - ------------------- + ------------------- + ------------- 17 n 5 17 n 5 n 9 3 (n - 1) (n ) 3 (n - 1) (n ) 6 n (n - 5) 13 n 12 n 11 n 15 n (n - 5) 448 n (n - 5) 1735 n (n - 5) - --------------- + ---------------- - ----------------- n 9 n 9 n 9 2 n (n - 5) 3 n (n - 5) n (n - 5) 10 n 9 n 8 n 26111 n (n - 5) 133455 n (n - 5) 708109 n (n - 5) + ------------------ - ------------------ + ------------------ n 9 n 9 n 9 2 n (n - 5) 2 n (n - 5) 3 n (n - 5) 7 n 6 n 22 n 5 576810 n (n - 5) 2856308 n (n - 5) n ((n - 1) ) - ------------------ + ------------------- + ----------------- n 9 n 9 17 n 5 n (n - 5) 3 n (n - 5) 6 (n - 1) (n ) n 6 n 5 n 4 n 3 85 (n - 2) n 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n + -------------- - -------------- + --------------- - -------------- 6 n 6 n 6 n 6 n 6 (n - 2) n 2 (n - 2) n 3 (n - 2) n (n - 2) n n 8 n 7 14 n n (n - 2) n 5 (n - 2) n n (n - 1) (n - 2) + ------------- - ------------- - -------------------------- 6 n 6 n 5 n 2 6 6 (n - 2) n 2 (n - 2) n 18 (n - 1) (n ) (n - 2) 13 n n 12 n n 4 n (n - 1) (n - 2) 41 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 78 n (n - 1) (n - 2) 541 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 582 n (n - 1) (n - 2) 6802 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 1616 n (n - 1) (n - 2) 160 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 5 n 4 n 3 n 1007840 n (n - 5) 613056 n (n - 5) 161280 n (n - 5) - ------------------- + ------------------ - ------------------ n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 18 n 17 n 15 n n (n - 6) 20 n (n - 6) 16115 n (n - 6) + --------------- - --------------- - ------------------ n 12 n 12 n 12 36 n (n - 6) 9 n (n - 6) 9 n (n - 6) 14 n 13 n 12 n 480881 n (n - 6) 2566355 n (n - 6) 20226140 n (n - 6) + ------------------- - -------------------- + --------------------- n 12 n 12 n 12 18 n (n - 6) 9 n (n - 6) 9 n (n - 6) 11 n 16 n 10 n 119744845 n (n - 6) 730 n (n - 6) 2145379973 n (n - 6) - ---------------------- + ---------------- + ----------------------- n 12 n 12 n 12 9 n (n - 6) 9 n (n - 6) 36 n (n - 6) 6 n 5 n 8 n 3749148772 n (n - 6) 1097444480 n (n - 6) 4597701380 n (n - 6) + ---------------------- - ---------------------- + ---------------------- n 12 n 12 n 12 3 n (n - 6) n (n - 6) 9 n (n - 6) 9 n 4 n 7 n 1815255805 n (n - 6) 572568000 n (n - 6) 8542984540 n (n - 6) - ---------------------- + --------------------- - ---------------------- n 12 n 12 n 12 9 n (n - 6) n (n - 6) 9 n (n - 6) 3 n 18 n 2 n 133056000 n (n - 6) 7 n ((n - 1) ) (n - 2) - --------------------- + --------------------------- n 12 10 n 3 4 n (n - 6) 36 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 14 n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 10 n 3 4 10 n 3 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 40859 n ((n - 1) ) (n - 2) 4634 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 3 4 10 n 3 4 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 2688 n ((n - 1) ) (n - 2) 672 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 10 n 3 4 10 n 3 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 1771 n ((n - 1) ) (n - 2) 13475 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 4 10 n 3 4 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 2 n 18 n 2 n 16765 n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------- 10 n 3 4 8 n 3 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 52 n ((n - 1) ) (n - 2) 196 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 1264 n ((n - 1) ) (n - 2) 1706 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 4492 n ((n - 1) ) (n - 2) 69112 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 73808 n ((n - 1) ) (n - 2) 14848 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 9 n 2 n 16 n n 1280 n ((n - 1) ) (n - 2) 7 n (n - 1) (n - 3) - ---------------------------- - -------------------------- 8 n 3 6 5 n 2 7 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 3) 15 n n 14 n n 15 n 112 n (n - 1) (n - 3) 175 n (n - 1) (n - 3) 32 n (n - 5) + ------------------------- - ------------------------- - --------------- 5 n 2 7 5 n 2 7 n 11 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 3 n (n - 5) 14 n 13 n 12 n 1841 n (n - 5) 15742 n (n - 5) 118921 n (n - 5) + ----------------- - ------------------ + ------------------- n 11 n 11 n 11 6 n (n - 5) 3 n (n - 5) 2 n (n - 5) 11 n 16 n 10 n 470932 n (n - 5) n (n - 5) 16073123 n (n - 5) - ------------------- + -------------- + --------------------- n 11 n 11 n 11 n (n - 5) 6 n (n - 5) 6 n (n - 5) 6 n 5 n 8 n 105451256 n (n - 5) 102514944 n (n - 5) 99464288 n (n - 5) + --------------------- - --------------------- + -------------------- n 11 n 11 n 11 n (n - 5) n (n - 5) 3 n (n - 5) 9 n 4 n 7 n 33200926 n (n - 5) 58239360 n (n - 5) 213032072 n (n - 5) - -------------------- + -------------------- - --------------------- n 11 n 11 n 11 3 n (n - 5) n (n - 5) 3 n (n - 5) 3 n 13 n 3 12 n 3 14515200 n (n - 5) 391 n ((n - 1) ) 535 n ((n - 1) ) - -------------------- - ------------------- + ------------------- n 11 13 n 3 13 n 3 n (n - 5) 18 (n - 1) (n ) 9 (n - 1) (n ) 11 n 3 10 n 3 12 n 866 n ((n - 1) ) 256 n ((n - 1) ) n (n - 3) - ------------------- + ------------------- + -------------- 13 n 3 13 n 3 n 9 9 (n - 1) (n ) 3 (n - 1) (n ) 36 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 18 n (n - 3) 6 n (n - 3) 3 n (n - 3) 12 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 86458 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 6 n (n - 3) 9 n (n - 3) 9 n (n - 3) 4 n 3 n 10 n 9 n 7208 n (n - 3) 2240 n (n - 3) 7 n (n - 3) 161 n (n - 3) + ---------------- - ---------------- + -------------- - --------------- n 9 n 9 n 7 n 7 n (n - 3) n (n - 3) 6 n (n - 3) 6 n (n - 3) 8 n 7 n 6 n 1519 n (n - 3) 7595 n (n - 3) 10829 n (n - 3) + ---------------- - ---------------- + ----------------- n 7 n 7 n 7 6 n (n - 3) 6 n (n - 3) 3 n (n - 3) 5 n 4 n 3 n 17542 n (n - 3) 4956 n (n - 3) 1680 n (n - 3) - ----------------- + ---------------- - ---------------- n 7 n 7 n 7 3 n (n - 3) n (n - 3) n (n - 3) 22 n 3 n 21 n 3 n n ((n - 1) ) (n - 2) 28 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 346 n ((n - 1) ) (n - 2) 828 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 3823 n ((n - 1) ) (n - 2) 11856 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 74984 n ((n - 1) ) (n - 2) 106016 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 96080 n ((n - 1) ) (n - 2) 16768 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 20 n 2 n 3840 n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 3) - ----------------------------- + -------------------------- 11 n 4 6 8 n 3 7 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 68 n ((n - 1) ) (n - 3) 1028 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3040 n ((n - 1) ) (n - 3) 17582 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 69588 n ((n - 1) ) (n - 3) 576784 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 1111840 n ((n - 1) ) (n - 3) 1464352 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 417856 n ((n - 1) ) (n - 3) 208896 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 46080 n ((n - 1) ) (n - 3) - ----------------------------- 8 n 3 7 (n - 1) (n ) (n - 3) and in Maple notation 1/6*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-14/3*n^25*((n-1)^n)^4/(n-\ 1)^16/(n^n)^5*(n-2)^n/(n-2)^4+176/3*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/( n-2)^4-437*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+4285/2*n^22*((n-1) ^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+101272/3*n^18*((n-1)^n)^4/(n-1)^16/(n^n) ^5*(n-2)^n/(n-2)^4-25680*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+ 11520*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-2304*n^15*((n-1)^n)^4/( n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-7257*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/ (n-2)^4+51964/3*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4-87352/3*n^19* ((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^4+32/9*n^23*((n-1)^n)^3/(n-1)^13/(n^ n)^4*(n-3)^n/(n-3)^5-464/9*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5+ 4030/9*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5-1/9*n^24*((n-1)^n)^3/( n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5+590416/9*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3 )^n/(n-3)^5-901360/9*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5+964256/9 *n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5-76160*n^14*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-3)^n/(n-3)^5+32256*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-\ 3)^5-6144*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5-7781/3*n^20*((n-1)^ n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5+31654/3*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-3)^n/(n-3)^5-278096/9*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^5+1/ 36*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6-19/18*n^21*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-4)^n/(n-4)^6+659/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/ (n-4)^6+898565/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6-610621/9*n^ 15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6+1227790/9*n^14*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-4)^n/(n-4)^6-1802264/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^ n/(n-4)^6+625148/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6-145392*n^ 11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6+60864*n^10*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-4)^n/(n-4)^6-11520*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6 -1726/9*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6+5415/4*n^18*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^6-40781/6*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-4)^n/(n-4)^6+2/9*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-20/3*n^25* ((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+268/3*n^24*((n-1)^n)^4/(n-1)^14/(n ^n)^5*(n-2)^n/(n-2)^6-6352/9*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+ 10958/3*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-39004/3*n^21*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+292240/9*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5 *(n-2)^n/(n-2)^6-170656/3*n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+ 205408/3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-484928/9*n^17*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+74752/3*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^ 5*(n-2)^n/(n-2)^6-5120*n^15*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-1/3*n^ 24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+12*n^23*((n-1)^n)^3/(n-1)^11/(n ^n)^4*(n-3)^n/(n-3)^7-194*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+ 5588/3*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-11831*n^20*((n-1)^n)^3 /(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+52376*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3) ^n/(n-3)^7-497156/3*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+377568*n^ 17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-614672*n^16*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-3)^n/(n-3)^7+2091136/3*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/ (n-3)^7-522304*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+231936*n^13*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-46080*n^12*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-3)^n/(n-3)^7-88/9*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+1750/ 9*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-20828/9*n^19*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-4)^n/(n-4)^8+55178/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^8-309248/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+3772090/9*n^16 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-11263724/9*n^15*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-4)^n/(n-4)^8+24695216/9*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^8-39245728/9*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+14637920/3*n ^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-3636672*n^11*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-4)^n/(n-4)^8+1615872*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4 )^8-322560*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+2/9*n^22*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-1/18*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5 )^9+3*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-1327/18*n^18*(n-1)^n/(n-1)^5 /(n^n)^2*(n-5)^n/(n-5)^9+3278/3*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-\ 196399/18*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+232921/3*n^15*(n-1)^n/(n -1)^5/(n^n)^2*(n-5)^n/(n-5)^9-7306001/18*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/( n-5)^9+1583128*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-41645392/9*n^12*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+30238696/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n -5)^n/(n-5)^9-144845176/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+54733088 /3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-13859712*n^8*(n-1)^n/(n-1)^5/(n^ n)^2*(n-5)^n/(n-5)^9+6302208*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-\ 1290240*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+1/36*n^26*((n-1)^n)^4/(n-1) ^12/(n^n)^5*(n-2)^n/(n-2)^8-n^25*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+ 95/6*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-1310/9*n^23*((n-1)^n)^4/ (n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+10363/12*n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-\ 2)^n/(n-2)^8-10423/3*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+87113/9* n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-56060/3*n^19*((n-1)^n)^4/(n-1 )^12/(n^n)^5*(n-2)^n/(n-2)^8+73540/3*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/ (n-2)^8-187312/9*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+10288*n^16*( (n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-2240*n^15*((n-1)^n)^4/(n-1)^12/(n^n )^5*(n-2)^n/(n-2)^8+9800/9*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-\ 73009/9*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+41532*n^19*((n-1)^n)^3 /(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-1349060/9*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-\ 3)^n/(n-3)^9+3460336/9*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-2088080 /3*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+7809088/9*n^15*((n-1)^n)^3/ (n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-6364352/9*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3 )^n/(n-3)^9+338176*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-71680*n^12* ((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-1/9*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^ 4*(n-3)^n/(n-3)^9+44/9*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-286/3*n ^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+1/6*n^22*((n-1)^n)^2/(n-1)^6/(n ^n)^3*(n-4)^n/(n-4)^10-9*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-\ 193607*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+5482475/6*n^16*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-3129397*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-4)^n/(n-4)^10+7776688*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-\ 41544392/3*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+17171720*n^12*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-14033424*n^11*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-4)^n/(n-4)^10+6767424*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-\ 1451520*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+435/2*n^20*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-9337/3*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4) ^n/(n-4)^10+58809/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-1969/9*n^ 18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+11722/3*n^17*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-5)^n/(n-5)^11-419731/9*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+ 1179706/3*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-21724307/9*n^14*(n-1)^n /(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+22/3*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-\ 5)^11+32849366/3*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+626834912/3*n^9* (n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-175512832*n^8*(n-1)^n/(n-1)^3/(n^n)^2* (n-5)^n/(n-5)^11+274640432/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-\ 331732280/9*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+87329280*n^7*(n-1)^n/ (n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-1484835824/9*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5 )^n/(n-5)^11-19353600*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-1/9*n^20*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-32*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-64*n^ 15*((n-1)^n)^5/(n-1)^17/(n^n)^5-2/3*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n -2)^6+14*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-374/3*n^18*((n-1)^n)^ 3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+1846/3*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2) ^n/(n-2)^6-5528/3*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+10288/3*n^15 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-3872*n^14*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-2)^n/(n-2)^6+7264/3*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-640 *n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+n^18*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-3)^n/(n-3)^7-27*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+313*n^ 16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-2045*n^15*((n-1)^n)^2/(n-1)^6/(n ^n)^3*(n-3)^n/(n-3)^7+8302*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-\ 21728*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7+36672*n^12*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-38480*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/( n-3)^7+22752*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-5760*n^9*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^7-2/3*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n -4)^8+70/3*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-356*n^14*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^8+3116*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-\ 17318*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+63826*n^11*(n-1)^n/(n-1)^3/( n^n)^2*(n-4)^n/(n-4)^8-473632/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8+ 775712/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-267968*n^8*(n-1)^n/(n-1)^3 /(n^n)^2*(n-4)^n/(n-4)^8+158304*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-\ 40320*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^8-1/3*n^22*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-2)^n/(n-2)^4+26/3*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4 -100*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4+674*n^19*((n-1)^n)^3/(n-\ 1)^13/(n^n)^4*(n-2)^n/(n-2)^4+70528/3*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n /(n-2)^4-20496*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4+10368*n^13*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4-2304*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^4-2937*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4+8640*n ^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^4-52088/3*n^16*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-2)^n/(n-2)^4+1/6*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3) ^5-5*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+202/3*n^18*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+77884/3*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3) ^n/(n-3)^5-46480*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5+171800/3*n^ 12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-46176*n^11*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-3)^n/(n-3)^5+21888*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^ 5-4608*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-537*n^17*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-3)^n/(n-3)^5+5633/2*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n /(n-3)^5-10194*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^5-5/36*n^28*((n-\ 1)^n)^6/(n-1)^22/(n^n)^6+65/18*n^27*((n-1)^n)^6/(n-1)^22/(n^n)^6-1505/36*n^26*( (n-1)^n)^6/(n-1)^22/(n^n)^6+2555/9*n^25*((n-1)^n)^6/(n-1)^22/(n^n)^6-11275/9*n^ 24*((n-1)^n)^6/(n-1)^22/(n^n)^6+33800/9*n^23*((n-1)^n)^6/(n-1)^22/(n^n)^6-69740 /9*n^22*((n-1)^n)^6/(n-1)^22/(n^n)^6+97840/9*n^21*((n-1)^n)^6/(n-1)^22/(n^n)^6-\ 89360/9*n^20*((n-1)^n)^6/(n-1)^22/(n^n)^6+16000/3*n^19*((n-1)^n)^6/(n-1)^22/(n^ n)^6+n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-19*n^15*((n-1)^n)^2/(n-1) ^6/(n^n)^3*(n-2)^n/(n-2)^6+149*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6 -625*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+1514*n^12*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-2)^n/(n-2)^6-2116*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2 )^6+1576*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-480*n^9*((n-1)^n)^2/( n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+ 50*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-526*n^12*(n-1)^n/(n-1)^3/(n^n)^ 2*(n-3)^n/(n-3)^7+3038*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-10528*n^10* (n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+22400*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3) ^n/(n-3)^7-28544*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+19872*n^7*(n-1)^n/ (n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-5760*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^ 7-768*n^15*((n-1)^n)^5/(n-1)^19/(n^n)^5+1/36*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-\ 5/9*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^3+169/36*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3-\ 1/3*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+14*n^17*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^8-791/3*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+2944*n^15* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-21701*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^8+111222*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1218713/3*n^12* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1064812*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^8-5958736/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+2568464*n^ 9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-2182032*n^8*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^8+1090944*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-241920*n^6*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-2/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n /(n-2)^6+34/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-230/3*n^10*(n-1)^n/( n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+790/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^ 6-1448/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+1336/3*n^7*(n-1)^n/(n-1)^3 /(n^n)^2*(n-2)^n/(n-2)^6-160*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+129*n^ 18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-4126/3*n^17*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-3)^n/(n-3)^9+18835/2*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^ 9-43463*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+413752/3*n^14*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-300888*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 3)^n/(n-3)^9+442264*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-1250960/3* n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+226752*n^10*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-3)^n/(n-3)^9-53760*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9 +1/6*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-7*n^19*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-3)^n/(n-3)^9-1/3*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-\ 47961*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+291292*n^13*(n-1)^n/(n-1)^3 /(n^n)^2*(n-4)^n/(n-4)^10-3734723/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^ 10+11306936/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-24046256/3*n^10*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+11665424*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4 )^n/(n-4)^10-11012592*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+6041664*n^7* (n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-1451520*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n -4)^n/(n-4)^10+52/3*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-1201/3*n^16*( n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+5424*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4) ^n/(n-4)^10+1/(n^n)*n^12*(n-4)^n/(n-4)^8-33/(n^n)*n^11*(n-4)^n/(n-4)^8+468/(n^n )*n^10*(n-4)^n/(n-4)^8-3738/(n^n)*n^9*(n-4)^n/(n-4)^8+18501/(n^n)*n^8*(n-4)^n/( n-4)^8-58737/(n^n)*n^7*(n-4)^n/(n-4)^8+119342/(n^n)*n^6*(n-4)^n/(n-4)^8-149172/ (n^n)*n^5*(n-4)^n/(n-4)^8+103608/(n^n)*n^4*(n-4)^n/(n-4)^8-30240/(n^n)*n^3*(n-4 )^n/(n-4)^8+1/6*n^24*((n-1)^n)^5/(n-1)^19/(n^n)^5-4*n^23*((n-1)^n)^5/(n-1)^19/( n^n)^5+253/6*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^5-769/3*n^21*((n-1)^n)^5/(n-1)^19/ (n^n)^5+2972/3*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^5-7576/3*n^19*((n-1)^n)^5/(n-1)^ 19/(n^n)^5+4248*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^5-13648/3*n^17*((n-1)^n)^5/(n-1 )^19/(n^n)^5+2816*n^16*((n-1)^n)^5/(n-1)^19/(n^n)^5+4270/3*n^13*(n-1)^n/(n-1)^5 /(n^n)^2*(n-3)^n/(n-3)^7-14819/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+ 25774*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-545440/9*n^10*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^7+854840/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-\ 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*n^11*(n-5)^n/(n-5)^9+26111/2/(n^n)*n^10*(n-5)^n/(n-5)^9-133455/2/(n^n)*n^9*(n-\ 5)^n/(n-5)^9+708109/3/(n^n)*n^8*(n-5)^n/(n-5)^9-576810/(n^n)*n^7*(n-5)^n/(n-5)^ 9+2856308/3/(n^n)*n^6*(n-5)^n/(n-5)^9+1/6*n^22*((n-1)^n)^5/(n-1)^17/(n^n)^5+85/ 6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^ 6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2 )^n/(n-2)^6/(n^n)*n^7-1/18*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+4/3*n^ 13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-41/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n -2)^n/(n-2)^6+78*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-541/2*n^10*(n-1)^ n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+582*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2) ^6-6802/9*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+1616/3*n^7*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-2)^n/(n-2)^6-160*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-\ 1007840/(n^n)*n^5*(n-5)^n/(n-5)^9+613056/(n^n)*n^4*(n-5)^n/(n-5)^9-161280/(n^n) *n^3*(n-5)^n/(n-5)^9+1/36/(n^n)*n^18*(n-6)^n/(n-6)^12-20/9/(n^n)*n^17*(n-6)^n/( n-6)^12-16115/9/(n^n)*n^15*(n-6)^n/(n-6)^12+480881/18/(n^n)*n^14*(n-6)^n/(n-6)^ 12-2566355/9/(n^n)*n^13*(n-6)^n/(n-6)^12+20226140/9/(n^n)*n^12*(n-6)^n/(n-6)^12 -119744845/9/(n^n)*n^11*(n-6)^n/(n-6)^12+730/9/(n^n)*n^16*(n-6)^n/(n-6)^12+ 2145379973/36/(n^n)*n^10*(n-6)^n/(n-6)^12+3749148772/3/(n^n)*n^6*(n-6)^n/(n-6)^ 12-1097444480/(n^n)*n^5*(n-6)^n/(n-6)^12+4597701380/9/(n^n)*n^8*(n-6)^n/(n-6)^ 12-1815255805/9/(n^n)*n^9*(n-6)^n/(n-6)^12+572568000/(n^n)*n^4*(n-6)^n/(n-6)^12 -8542984540/9/(n^n)*n^7*(n-6)^n/(n-6)^12-133056000/(n^n)*n^3*(n-6)^n/(n-6)^12+7 /36*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-14/3*n^17*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-2)^n/(n-2)^4+49*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2 )^4+40859/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-4634*n^11*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+2688*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -2)^n/(n-2)^4-672*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4-1771/6*n^15* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^4+13475/12*n^14*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-2)^n/(n-2)^4-16765/6*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2 )^4+2/9*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-52/9*n^17*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+196/3*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/ (n-2)^6-1264/3*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+1706*n^14*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-4492*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -2)^n/(n-2)^6+69112/9*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-73808/9* n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+14848/3*n^10*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^6-1280*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6 -7/18*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+112/9*n^15*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^7-175*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-32/3/(n ^n)*n^15*(n-5)^n/(n-5)^11+1841/6/(n^n)*n^14*(n-5)^n/(n-5)^11-15742/3/(n^n)*n^13 *(n-5)^n/(n-5)^11+118921/2/(n^n)*n^12*(n-5)^n/(n-5)^11-470932/(n^n)*n^11*(n-5)^ n/(n-5)^11+1/6/(n^n)*n^16*(n-5)^n/(n-5)^11+16073123/6/(n^n)*n^10*(n-5)^n/(n-5)^ 11+105451256/(n^n)*n^6*(n-5)^n/(n-5)^11-102514944/(n^n)*n^5*(n-5)^n/(n-5)^11+ 99464288/3/(n^n)*n^8*(n-5)^n/(n-5)^11-33200926/3/(n^n)*n^9*(n-5)^n/(n-5)^11+ 58239360/(n^n)*n^4*(n-5)^n/(n-5)^11-213032072/3/(n^n)*n^7*(n-5)^n/(n-5)^11-\ 14515200/(n^n)*n^3*(n-5)^n/(n-5)^11-391/18*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+ 535/9*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^3-866/9*n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3 +256/3*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/36/(n^n)*n^12*(n-3)^n/(n-3)^9-19/18/ (n^n)*n^11*(n-3)^n/(n-3)^9+103/6/(n^n)*n^10*(n-3)^n/(n-3)^9-469/3/(n^n)*n^9*(n-\ 3)^n/(n-3)^9+10507/12/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/6/(n^n)*n^7*(n-3)^n/(n-3) ^9+63173/9/(n^n)*n^6*(n-3)^n/(n-3)^9-86458/9/(n^n)*n^5*(n-3)^n/(n-3)^9+7208/(n^ n)*n^4*(n-3)^n/(n-3)^9-2240/(n^n)*n^3*(n-3)^n/(n-3)^9+7/6/(n^n)*n^10*(n-3)^n/(n -3)^7-161/6/(n^n)*n^9*(n-3)^n/(n-3)^7+1519/6/(n^n)*n^8*(n-3)^n/(n-3)^7-7595/6/( n^n)*n^7*(n-3)^n/(n-3)^7+10829/3/(n^n)*n^6*(n-3)^n/(n-3)^7-17542/3/(n^n)*n^5*(n -3)^n/(n-3)^7+4956/(n^n)*n^4*(n-3)^n/(n-3)^7-1680/(n^n)*n^3*(n-3)^n/(n-3)^7-1/3 *n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+28/3*n^21*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-2)^n/(n-2)^6-346/3*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2 )^6+828*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-3823*n^18*((n-1)^n)^3 /(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+11856*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2) ^n/(n-2)^6-74984/3*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+106016/3*n ^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-96080/3*n^14*((n-1)^n)^3/(n-1) ^11/(n^n)^4*(n-2)^n/(n-2)^6+16768*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-\ 2)^6-3840*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+2/3*n^20*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-68/3*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^7+1028/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-3040*n^17*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+17582*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-3)^n/(n-3)^7-69588*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+576784/3 *n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-1111840/3*n^13*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-3)^n/(n-3)^7+1464352/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^ n/(n-3)^7-417856*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+208896*n^10*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-46080*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-3)^n/(n-3)^7 The, 4, 3, mixed moment of, X[2], and , X[4], is 34 n 7 33 n 7 32 n 7 n ((n - 1) ) 35 n ((n - 1) ) 187 n ((n - 1) ) ------------------ - ------------------ + ------------------- 27 n 7 27 n 7 27 n 7 36 (n - 1) (n ) 36 (n - 1) (n ) 12 (n - 1) (n ) 31 n 7 30 n 7 29 n 7 5453 n ((n - 1) ) 17933 n ((n - 1) ) 4683 n ((n - 1) ) - -------------------- + --------------------- - -------------------- 27 n 7 27 n 7 27 n 7 36 (n - 1) (n ) 18 (n - 1) (n ) (n - 1) (n ) 28 n 7 27 n 7 26 n 7 145682 n ((n - 1) ) 374980 n ((n - 1) ) 239624 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 27 n 7 27 n 7 27 n 7 9 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 25 n 7 24 n 7 1013968 n ((n - 1) ) 1023008 n ((n - 1) ) - ----------------------- + ----------------------- 27 n 7 27 n 7 9 (n - 1) (n ) 9 (n - 1) (n ) 23 n 7 22 n 7 77696 n ((n - 1) ) 32256 n ((n - 1) ) - --------------------- + --------------------- 27 n 7 27 n 7 (n - 1) (n ) (n - 1) (n ) 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 2) 10 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 134 n ((n - 1) ) (n - 2) 3176 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 5479 n ((n - 1) ) (n - 2) 19502 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 146120 n ((n - 1) ) (n - 2) 85328 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 102704 n ((n - 1) ) (n - 2) 242464 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 37376 n ((n - 1) ) (n - 2) 7680 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 14 n 5 6 14 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 3) 18 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 291 n ((n - 1) ) (n - 3) 2794 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 35493 n ((n - 1) ) (n - 3) 78564 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 11 n 4 7 11 n 4 7 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 248578 n ((n - 1) ) (n - 3) 566352 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 922008 n ((n - 1) ) (n - 3) 1045568 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 783456 n ((n - 1) ) (n - 3) 347904 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 21 n 2 n 69120 n ((n - 1) ) (n - 3) 44 n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------- 11 n 4 7 8 n 3 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 875 n ((n - 1) ) (n - 4) 10414 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 27589 n ((n - 1) ) (n - 4) 154624 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 1886045 n ((n - 1) ) (n - 4) 5631862 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 12347608 n ((n - 1) ) (n - 4) 19622864 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 7318960 n ((n - 1) ) (n - 4) 5455008 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 2423808 n ((n - 1) ) (n - 4) 483840 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 2 n 20 n n n ((n - 1) ) (n - 4) n (n - 1) (n - 5) + ------------------------- - -------------------------- 8 n 3 8 5 n 2 9 3 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 5) 19 n n 18 n n 9 n (n - 1) (n - 5) 1327 n (n - 1) (n - 5) + ------------------------- - -------------------------- 5 n 2 9 5 n 2 9 2 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 17 n n 16 n n 1639 n (n - 1) (n - 5) 196399 n (n - 1) (n - 5) + -------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 15 n n 14 n n 232921 n (n - 1) (n - 5) 7306001 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 2 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 13 n n 12 n n 2374692 n (n - 1) (n - 5) 20822696 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 11 n n 10 n n 15119348 n (n - 1) (n - 5) 72422588 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 27366544 n (n - 1) (n - 5) 20789568 n (n - 1) (n - 5) + ----------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 9453312 n (n - 1) (n - 5) 1935360 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 26 n 4 n 25 n 4 n n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 12 n 5 8 12 n 5 8 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 95 n ((n - 1) ) (n - 2) 1310 n ((n - 1) ) (n - 2) + --------------------------- - ----------------------------- 12 n 5 8 12 n 5 8 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 10363 n ((n - 1) ) (n - 2) 10423 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 5 8 12 n 5 8 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 87113 n ((n - 1) ) (n - 2) 56060 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 5 8 12 n 5 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 73540 n ((n - 1) ) (n - 2) 187312 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 30864 n ((n - 1) ) (n - 2) 6720 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 9800 n ((n - 1) ) (n - 3) 73009 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 9 n 4 9 9 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 124596 n ((n - 1) ) (n - 3) 1349060 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 3460336 n ((n - 1) ) (n - 3) 2088080 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 9 n 4 9 9 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 7809088 n ((n - 1) ) (n - 3) 6364352 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 9 n 4 9 9 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 1014528 n ((n - 1) ) (n - 3) 215040 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 3) 44 n ((n - 1) ) (n - 3) - ------------------------- + --------------------------- 9 n 4 9 9 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 22 n 3 n 22 n 2 n 286 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ---------------------------- + -------------------------- 9 n 4 9 6 n 3 10 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 21 n 2 n 17 n 2 n 27 n ((n - 1) ) (n - 4) 580821 n ((n - 1) ) (n - 4) - --------------------------- - ------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 5482475 n ((n - 1) ) (n - 4) 9388191 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 6 n 3 10 6 n 3 10 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 23330064 n ((n - 1) ) (n - 4) 41544392 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 51515160 n ((n - 1) ) (n - 4) 42100272 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 20302272 n ((n - 1) ) (n - 4) 4354560 n ((n - 1) ) (n - 4) + --------------------------------- - ------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 1305 n ((n - 1) ) (n - 4) 9337 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 6 n 3 10 6 n 3 10 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 18 n n 176427 n ((n - 1) ) (n - 4) 1969 n (n - 1) (n - 5) + ------------------------------- - -------------------------- 6 n 3 10 3 n 2 11 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 5) 17 n n 16 n n 11722 n (n - 1) (n - 5) 419731 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n n 14 n n 1179706 n (n - 1) (n - 5) 21724307 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 19 n n 13 n n 22 n (n - 1) (n - 5) 32849366 n (n - 1) (n - 5) + ------------------------ + ------------------------------ 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 626834912 n (n - 1) (n - 5) 526538496 n (n - 1) (n - 5) + ------------------------------ - ------------------------------ 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 274640432 n (n - 1) (n - 5) 331732280 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 261987840 n (n - 1) (n - 5) 1484835824 n (n - 1) (n - 5) + ------------------------------ - -------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 6 n n 20 n n 58060800 n (n - 1) (n - 5) n (n - 1) (n - 5) - ----------------------------- - -------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 12 n 4 15 n 5 21 n 7 128 n ((n - 1) ) 64 n ((n - 1) ) 6144 n ((n - 1) ) - ------------------- - ------------------ - -------------------- 18 n 4 17 n 5 27 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 20 n 3 n 19 n 3 n 2 n ((n - 1) ) (n - 2) 14 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 374 n ((n - 1) ) (n - 2) 1846 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 5528 n ((n - 1) ) (n - 2) 10288 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 3872 n ((n - 1) ) (n - 2) 7264 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 3 n 18 n 2 n 640 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------ 9 n 4 6 6 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 27 n ((n - 1) ) (n - 3) 313 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 2045 n ((n - 1) ) (n - 3) 8302 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 21728 n ((n - 1) ) (n - 3) 36672 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 38480 n ((n - 1) ) (n - 3) 22752 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n n 5760 n ((n - 1) ) (n - 3) 2 n (n - 1) (n - 4) - ---------------------------- - ------------------------- 6 n 3 7 3 n 2 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 15 n n 14 n n 70 n (n - 1) (n - 4) 356 n (n - 1) (n - 4) + ------------------------- - ------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n n 12 n n 3116 n (n - 1) (n - 4) 17318 n (n - 1) (n - 4) + -------------------------- - --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 10 n n 63826 n (n - 1) (n - 4) 473632 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 775712 n (n - 1) (n - 4) 267968 n (n - 1) (n - 4) + --------------------------- - --------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 158304 n (n - 1) (n - 4) 40320 n (n - 1) (n - 4) + --------------------------- - -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 23 n 3 n 17418240 n ((n - 1) ) (n - 4) 3266329 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 11 n 4 10 11 n 4 10 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 20972531 n ((n - 1) ) (n - 4) 34185199 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 11 n 4 10 11 n 4 10 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 4) 21 n ((n - 1) ) (n - 4) - ---------------------------- + --------------------------- 11 n 4 10 11 n 4 10 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 2759423 n ((n - 1) ) (n - 5) 65333359 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 8 n 3 11 8 n 3 11 6 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 19 n 2 n 20 n 4 n 44017497 n ((n - 1) ) (n - 5) 321120 n ((n - 1) ) (n - 2) - --------------------------------- + ------------------------------- 8 n 3 11 16 n 5 6 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 495224 n ((n - 1) ) (n - 2) 125568 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 1367764 n ((n - 1) ) (n - 2) 23040 n ((n - 1) ) (n - 2) - -------------------------------- - ------------------------------ 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 43 n ((n - 1) ) (n - 3) 141 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 13 n 4 7 13 n 4 7 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 3 n 26 n 3 n 5047 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ----------------------------- - -------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 81593 n ((n - 1) ) (n - 3) 157545 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 13 n 4 7 13 n 4 7 6 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1011484 n ((n - 1) ) (n - 3) 3249166 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 2623136 n ((n - 1) ) (n - 3) 14295848 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 19166528 n ((n - 1) ) (n - 3) 6126304 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 3968640 n ((n - 1) ) (n - 3) 1552896 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 21 n 2 n 276480 n ((n - 1) ) (n - 3) 5689 n ((n - 1) ) (n - 4) - ------------------------------- - ----------------------------- 13 n 4 7 10 n 3 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 166165 n ((n - 1) ) (n - 4) 389403 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 6126353 n ((n - 1) ) (n - 4) 8133547 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 37201591 n ((n - 1) ) (n - 4) 14469872 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 76872056 n ((n - 1) ) (n - 4) 33794796 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 32109096 n ((n - 1) ) (n - 4) 20727648 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 8118144 n ((n - 1) ) (n - 4) 1451520 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 10 n 3 8 10 n 3 8 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 3 n 1195 n ((n - 1) ) (n - 4) 1002451 n ((n - 1) ) (n - 3) + ----------------------------- + -------------------------------- 10 n 3 8 11 n 4 9 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1210421 n ((n - 1) ) (n - 3) 1449101 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 11668828 n ((n - 1) ) (n - 3) 23295700 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 11349904 n ((n - 1) ) (n - 3) 35325776 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 8193536 n ((n - 1) ) (n - 3) 3419904 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 26 n 3 n 645120 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------- - --------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 17 n ((n - 1) ) (n - 3) 589 n ((n - 1) ) (n - 3) + --------------------------- - ---------------------------- 11 n 4 9 11 n 4 9 4 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 8167 n ((n - 1) ) (n - 3) 50635 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 11 n 4 9 11 n 4 9 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 28 n 6 27 n 6 26 n 6 n ((n - 1) ) 13 n ((n - 1) ) 301 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 22 n 6 22 n 6 22 n 6 12 (n - 1) (n ) 6 (n - 1) (n ) 12 (n - 1) (n ) 25 n 6 24 n 6 23 n 6 511 n ((n - 1) ) 2255 n ((n - 1) ) 6760 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 22 n 6 22 n 6 22 n 6 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 13948 n ((n - 1) ) 19568 n ((n - 1) ) 17872 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 22 n 6 22 n 6 22 n 6 3 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 19 n 6 27 n 4 n 3200 n ((n - 1) ) 35 n ((n - 1) ) (n - 2) + -------------------- - --------------------------- 22 n 6 18 n 5 4 (n - 1) (n ) 18 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 280 n ((n - 1) ) (n - 2) 2711 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 18 n 5 4 18 n 5 4 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 28 n 4 n 24 n 4 n n ((n - 1) ) (n - 2) 3937 n ((n - 1) ) (n - 2) + --------------------------- + ----------------------------- 18 n 5 4 18 n 5 4 18 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 54997 n ((n - 1) ) (n - 2) 281491 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 18 n 5 4 18 n 5 4 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 596368 n ((n - 1) ) (n - 2) 130368 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 5 4 18 n 5 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 51456 n ((n - 1) ) (n - 2) 9216 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 18 n 5 4 18 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 712352 n ((n - 1) ) (n - 2) 1336304 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 18 n 5 4 18 n 5 4 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 19 n 4 n 23 n 3 n 1834168 n ((n - 1) ) (n - 2) 1277 n ((n - 1) ) (n - 3) - -------------------------------- + ----------------------------- 18 n 5 4 15 n 4 5 9 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 57121 n ((n - 1) ) (n - 3) 102241 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 15 n 4 5 15 n 4 5 36 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 15 n 4 5 15 n 4 5 36 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 24 n 3 n 17 n 3 n 175 n ((n - 1) ) (n - 3) 1196564 n ((n - 1) ) (n - 3) - ---------------------------- + -------------------------------- 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 4562888 n ((n - 1) ) (n - 3) 1388288 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 15 n 4 5 15 n 4 5 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 286464 n ((n - 1) ) (n - 3) 107520 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 3 n 18432 n ((n - 1) ) (n - 3) 611473 n ((n - 1) ) (n - 3) - ------------------------------ - ------------------------------- 15 n 4 5 15 n 4 5 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 306386 n ((n - 1) ) (n - 3) 2092856 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 15 n 4 5 15 n 4 5 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 37 n ((n - 1) ) (n - 2) 52 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 16 n 5 6 16 n 5 6 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 3175 n ((n - 1) ) (n - 2) 43493 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 16 n 5 6 16 n 5 6 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 23 n 4 n 28 n 4 n 70559 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------- 16 n 5 6 16 n 5 6 4 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 376453 n ((n - 1) ) (n - 2) 1376680 n ((n - 1) ) (n - 2) + ------------------------------- + -------------------------------- 16 n 5 6 16 n 5 6 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 30 n 5 n 309792 n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) - ------------------------------- - --------------------------- 16 n 5 6 21 n 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 3271 n ((n - 1) ) (n - 2) 46277 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 21 n 6 4 21 n 6 4 18 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n n ((n - 1) ) (n - 2) 37 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 21 n 6 4 21 n 6 4 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 78619 n ((n - 1) ) (n - 2) 223241 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 21 n 6 4 21 n 6 4 12 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 637667 n ((n - 1) ) (n - 2) 791920 n ((n - 1) ) (n - 2) + ------------------------------- + ------------------------------- 21 n 6 4 21 n 6 4 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 156096 n ((n - 1) ) (n - 2) 56064 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 21 n 6 4 21 n 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 24 n 5 n 9216 n ((n - 1) ) (n - 2) 460168 n ((n - 1) ) (n - 2) - ----------------------------- - ------------------------------- 21 n 6 4 21 n 6 4 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 2253388 n ((n - 1) ) (n - 2) 2728720 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 21 n 6 4 21 n 6 4 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 72445 n ((n - 1) ) (n - 3) 420965 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 18 n 5 5 18 n 5 5 54 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 24 n 4 n 29 n 4 n 918196 n ((n - 1) ) (n - 3) 41 n ((n - 1) ) (n - 3) + ------------------------------- - --------------------------- 18 n 5 5 18 n 5 5 27 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 389 n ((n - 1) ) (n - 3) 4531 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 18 n 5 5 18 n 5 5 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 23484544 n ((n - 1) ) (n - 3) 26581280 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 18 n 5 5 18 n 5 5 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 7271936 n ((n - 1) ) (n - 3) 453632 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 18 n 5 5 18 n 5 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 155648 n ((n - 1) ) (n - 3) 24576 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 18 n 5 5 18 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 3061262 n ((n - 1) ) (n - 3) 7862344 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 18 n 5 5 18 n 5 5 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 21 n 4 n 30 n 4 n 15550808 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------- 18 n 5 5 18 n 5 5 27 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 13847 n ((n - 1) ) (n - 4) 128917 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 15 n 4 6 15 n 4 6 216 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 23 n 3 n 28 n 3 n 878621 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + ------------------------------- - ---------------------------- 15 n 4 6 15 n 4 6 216 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 47 n ((n - 1) ) (n - 4) 1027 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 15 n 4 6 15 n 4 6 216 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 17059955 n ((n - 1) ) (n - 4) 32336632 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 15 n 4 6 15 n 4 6 27 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 47256674 n ((n - 1) ) (n - 4) 17390068 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 15 n 4 6 15 n 4 6 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 4670336 n ((n - 1) ) (n - 4) 862592 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 15 n 4 6 15 n 4 6 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 293376 n ((n - 1) ) (n - 4) 46080 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 15 n 4 6 15 n 4 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 3 n 21 n 3 n 4533545 n ((n - 1) ) (n - 4) 18061045 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 15 n 4 6 15 n 4 6 216 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 20 n 3 n 32 n 5 n 28064335 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) - --------------------------------- - --------------------------- 15 n 4 6 19 n 6 6 108 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 349 n ((n - 1) ) (n - 2) 3799 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 19 n 6 6 19 n 6 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 18731 n ((n - 1) ) (n - 2) 298663 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 19 n 6 6 19 n 6 6 6 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 26 n 5 n 31 n 5 n 588130 n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------- 19 n 6 6 19 n 6 6 9 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 193706 n ((n - 1) ) (n - 2) 7365472 n ((n - 1) ) (n - 2) + ------------------------------- + -------------------------------- 19 n 6 6 19 n 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 23 n 5 n 496768 n ((n - 1) ) (n - 2) 6588968 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 19 n 6 6 19 n 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 24 n 5 n 19 n 5 n 3907616 n ((n - 1) ) (n - 2) 182784 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 19 n 6 6 19 n 6 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 18 n 5 n 913824 n ((n - 1) ) (n - 2) 30720 n ((n - 1) ) (n - 2) - ------------------------------- - ------------------------------ 19 n 6 6 19 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 233 n ((n - 1) ) (n - 3) 5893 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 16 n 5 7 16 n 5 7 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 26 n 4 n 30 n 4 n 33927 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ + --------------------------- 16 n 5 7 16 n 5 7 4 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 29 n 4 n 25 n 4 n 15 n ((n - 1) ) (n - 3) 635821 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 16 n 5 7 16 n 5 7 4 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 1484119 n ((n - 1) ) (n - 3) 878689 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 16 n 5 7 16 n 5 7 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 7183870 n ((n - 1) ) (n - 3) 15017332 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 16 n 5 7 16 n 5 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 7959704 n ((n - 1) ) (n - 3) 28355984 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 16 n 5 7 16 n 5 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 8110624 n ((n - 1) ) (n - 3) 4745088 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 16 n 5 7 16 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 1691136 n ((n - 1) ) (n - 3) 276480 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 16 n 5 7 16 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 200299 n ((n - 1) ) (n - 4) 1500539 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 13 n 4 8 13 n 4 8 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 22 n 3 n 28 n 3 n 8462771 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - -------------------------------- - --------------------------- 13 n 4 8 13 n 4 8 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 36653347 n ((n - 1) ) (n - 4) 61602232 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 13 n 4 8 13 n 4 8 18 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 161222414 n ((n - 1) ) (n - 4) 327382576 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 510257000 n ((n - 1) ) (n - 4) 66465792 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 56630560 n ((n - 1) ) (n - 4) 33048960 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 11791872 n ((n - 1) ) (n - 4) 1935360 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 53 n ((n - 1) ) (n - 4) 1297 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 13 n 4 8 13 n 4 8 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 25 n 3 n 23 n 2 n 19457 n ((n - 1) ) (n - 4) 3671 n ((n - 1) ) (n - 5) + ------------------------------ - ----------------------------- 13 n 4 8 10 n 3 9 18 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 5) 22 n 2 n 21 n 2 n 136403 n ((n - 1) ) (n - 5) 412037 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 24 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 5) 7 n ((n - 1) ) (n - 5) + --------------------------- - -------------------------- 10 n 3 9 10 n 3 9 72 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 24 n 2 n 20 n 2 n 613 n ((n - 1) ) (n - 5) 25462141 n ((n - 1) ) (n - 5) + ---------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 24 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 15033285 n ((n - 1) ) (n - 5) 93875695 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 8 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 25656905 n ((n - 1) ) (n - 5) 198835484 n ((n - 1) ) (n - 5) - --------------------------------- + ---------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 134053154 n ((n - 1) ) (n - 5) 1886422868 n ((n - 1) ) (n - 5) - ---------------------------------- + ----------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 247911712 n ((n - 1) ) (n - 5) 214056832 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 127025664 n ((n - 1) ) (n - 5) 46199808 n ((n - 1) ) (n - 5) - ---------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 18 n n 7741440 n ((n - 1) ) (n - 5) 689521 n (n - 1) (n - 5) - ------------------------------- - ---------------------------- 10 n 3 9 5 n 2 11 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 17 n n 16 n n 6899227 n (n - 1) (n - 5) 51534905 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 15 n n 14 n n 293087663 n (n - 1) (n - 5) 641130325 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 12 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 19 n n 13 n n 49741 n (n - 1) (n - 5) 1082156108 n (n - 1) (n - 5) + --------------------------- + -------------------------------- 5 n 2 11 5 n 2 11 12 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 2867444064 n (n - 1) (n - 5) 2052609408 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 5540352764 n (n - 1) (n - 5) 2808268064 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 887569920 n (n - 1) (n - 5) 2713431544 n (n - 1) (n - 5) + ------------------------------ - -------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 23 n 2 n 174182400 n (n - 1) (n - 5) 61 n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------- 5 n 2 11 8 n 3 10 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 565 n ((n - 1) ) (n - 4) 28457 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 8 n 3 10 8 n 3 10 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 71093411 n ((n - 1) ) (n - 4) 40647417 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 317513132 n ((n - 1) ) (n - 4) 622286672 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 8 n 3 10 8 n 3 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 300413032 n ((n - 1) ) (n - 4) 311062032 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 217224576 n ((n - 1) ) (n - 4) 91369728 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 20 n 2 n 17418240 n ((n - 1) ) (n - 4) 322805 n ((n - 1) ) (n - 4) - -------------------------------- + ------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 873573 n ((n - 1) ) (n - 4) 15731093 n ((n - 1) ) (n - 4) - ------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 24 n 2 n 16 n 2 n n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + -------------------------- + ------------------------ 8 n 3 10 6 n 3 6 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 19 n ((n - 1) ) (n - 2) 149 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 625 n ((n - 1) ) (n - 2) 1514 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 2116 n ((n - 1) ) (n - 2) 1576 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 14 n n 480 n ((n - 1) ) (n - 2) 2 n (n - 1) (n - 3) - --------------------------- - ----------------------- 6 n 3 6 3 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 13 n n 12 n n 50 n (n - 1) (n - 3) 526 n (n - 1) (n - 3) + ------------------------ - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 3038 n (n - 1) (n - 3) 10528 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 22400 n (n - 1) (n - 3) 28544 n (n - 1) (n - 3) + -------------------------- - -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 19872 n (n - 1) (n - 3) 5760 n (n - 1) (n - 3) + -------------------------- - ------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 32 n 5 n 31 n 5 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 17 n 6 8 17 n 6 8 72 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 115 n ((n - 1) ) (n - 2) 5665 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 17 n 6 8 17 n 6 8 9 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 10437 n ((n - 1) ) (n - 2) 554797 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 17 n 6 8 17 n 6 8 8 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 1204105 n ((n - 1) ) (n - 2) 650575 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 17 n 6 8 17 n 6 8 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 2374817 n ((n - 1) ) (n - 2) 4318142 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 17 n 6 8 17 n 6 8 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 1925140 n ((n - 1) ) (n - 2) 5509240 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 17 n 6 8 17 n 6 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 1180720 n ((n - 1) ) (n - 2) 152576 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 17 n 6 8 17 n 6 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 24 n 4 n 26880 n ((n - 1) ) (n - 2) 3423293 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 17 n 6 8 14 n 5 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 13536290 n ((n - 1) ) (n - 3) 40726868 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 10362968 n ((n - 1) ) (n - 3) 161282224 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 14 n 5 9 14 n 5 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 206850400 n ((n - 1) ) (n - 3) 190464320 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 39613952 n ((n - 1) ) (n - 3) 4989952 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 14 n 5 9 14 n 5 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 18 n n 860160 n ((n - 1) ) (n - 3) n (n - 1) (n - 4) - ------------------------------- - ------------------------- 14 n 5 9 5 n 2 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 4) 17 n n 16 n n 21 n (n - 1) (n - 4) 791 n (n - 1) (n - 4) + ------------------------ - ------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n n 14 n n 4416 n (n - 1) (n - 4) 65103 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n n 12 n n 166833 n (n - 1) (n - 4) 1218713 n (n - 1) (n - 4) + ---------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 1597218 n (n - 1) (n - 4) 2979368 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 3852696 n (n - 1) (n - 4) 3273048 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 1636416 n (n - 1) (n - 4) 362880 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 2 n (n - 1) (n - 2) 34 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 230 n (n - 1) (n - 2) 790 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 1448 n (n - 1) (n - 2) 1336 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 18 n 2 n 160 n (n - 1) (n - 2) 387 n ((n - 1) ) (n - 3) - ------------------------ + ---------------------------- 3 n 2 6 6 n 3 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 4126 n ((n - 1) ) (n - 3) 56505 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 130389 n ((n - 1) ) (n - 3) 413752 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 902664 n ((n - 1) ) (n - 3) 1326792 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1250960 n ((n - 1) ) (n - 3) 680256 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 161280 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 19 n 2 n 18 n n 21 n ((n - 1) ) (n - 3) n (n - 1) (n - 4) - --------------------------- - ------------------------ 6 n 3 9 3 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 4) 14 n n 13 n n 143883 n (n - 1) (n - 4) 873876 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 3734723 n (n - 1) (n - 4) 11306936 n (n - 1) (n - 4) - ----------------------------- + ------------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 24046256 n (n - 1) (n - 4) 34996272 n (n - 1) (n - 4) - ------------------------------ + ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 33037776 n (n - 1) (n - 4) 18124992 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 4354560 n (n - 1) (n - 4) 52 n (n - 1) (n - 4) - ---------------------------- + ------------------------ 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 12 n 1201 n (n - 1) (n - 4) 16272 n (n - 1) (n - 4) n (n - 4) - -------------------------- + --------------------------- + ------------ 3 n 2 10 3 n 2 10 n 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) n (n - 4) 11 n 10 n 9 n 33 n (n - 4) 468 n (n - 4) 3738 n (n - 4) - --------------- + ---------------- - ---------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 8 n 7 n 6 n 18501 n (n - 4) 58737 n (n - 4) 119342 n (n - 4) + ----------------- - ----------------- + ------------------ n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 3 n 149172 n (n - 4) 103608 n (n - 4) 30240 n (n - 4) - ------------------ + ------------------ - ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 21 n 22 n 20 n 125 n (n - 7) n (n - 7) 605 n (n - 7) - ---------------- + ---------------- + ---------------- n 15 n 15 n 15 216 n (n - 7) 216 n (n - 7) 18 n (n - 7) 19 n 18 n 17 n 1205 n (n - 7) 1075661 n (n - 7) 19589305 n (n - 7) - ----------------- + -------------------- - --------------------- n 15 n 15 n 15 n (n - 7) 36 n (n - 7) 36 n (n - 7) 15 n 14 n 4395294215 n (n - 7) 49919082707 n (n - 7) - ----------------------- + ------------------------ n 15 n 15 54 n (n - 7) 72 n (n - 7) 13 n 12 n 37595841855 n (n - 7) 228881822845 n (n - 7) - ------------------------ + ------------------------- n 15 n 15 8 n (n - 7) 9 n (n - 7) 11 n 16 n 1975862051995 n (n - 7) 407324305 n (n - 7) - -------------------------- + ---------------------- n 15 n 15 18 n (n - 7) 54 n (n - 7) 10 n 6 n 10150940432732 n (n - 7) 3755771643616 n (n - 7) + --------------------------- + ------------------------- n 15 n 15 27 n (n - 7) n (n - 7) 5 n 8 n 2911363144320 n (n - 7) 18935897763760 n (n - 7) - ------------------------- + -------------------------- n 15 n 15 n (n - 7) 9 n (n - 7) 9 n 4 n 27312466958230 n (n - 7) 1366247232000 n (n - 7) - -------------------------- + ------------------------- n 15 n 15 27 n (n - 7) n (n - 7) 7 n 3 n 9900055942360 n (n - 7) 290594304000 n (n - 7) - ------------------------- - ------------------------ n 15 n 15 3 n (n - 7) n (n - 7) 13 n n 12 n n 2135 n (n - 1) (n - 3) 44457 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 38661 n (n - 1) (n - 3) 272720 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 427420 n (n - 1) (n - 3) 142156 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 81312 n (n - 1) (n - 3) 20160 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n n 14 n n 40 n (n - 1) (n - 3) 694 n (n - 1) (n - 3) + ------------------------- - ------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n n 12 n n 2288 n (n - 1) (n - 3) 14259 n (n - 1) (n - 3) + -------------------------- - --------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n n 10 n n 58408 n (n - 1) (n - 3) 477056 n (n - 1) (n - 3) + --------------------------- - ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 851216 n (n - 1) (n - 3) 951152 n (n - 1) (n - 3) + --------------------------- - --------------------------- 3 n 2 9 3 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 199872 n (n - 1) (n - 3) 53760 n (n - 1) (n - 3) + --------------------------- - -------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 20 n 19 n n (n - 1) (n - 3) n (n - 6) 35 n (n - 6) - ------------------------- + --------------- - --------------- 3 n 2 9 n 14 n 14 3 (n - 1) (n ) (n - 3) 36 n (n - 6) 12 n (n - 6) 18 n 17 n 15 n 141 n (n - 6) 4165 n (n - 6) 2464735 n (n - 6) + ---------------- - ----------------- - -------------------- n 14 n 14 n 14 n (n - 6) n (n - 6) 2 n (n - 6) 14 n 13 n 121893733 n (n - 6) 341916575 n (n - 6) + ---------------------- - ---------------------- n 14 n 14 9 n (n - 6) 3 n (n - 6) 12 n 11 n 16 n 2971219537 n (n - 6) 15068478425 n (n - 6) 504797 n (n - 6) + ----------------------- - ------------------------ + ------------------- n 14 n 14 n 14 4 n (n - 6) 4 n (n - 6) 6 n (n - 6) 10 n 6 n 44549638484 n (n - 6) 222964416144 n (n - 6) + ------------------------ + ------------------------ n 14 n 14 3 n (n - 6) n (n - 6) 5 n 8 n 185648594880 n (n - 6) 942063475096 n (n - 6) - ------------------------ + ------------------------ n 14 n 14 n (n - 6) 9 n (n - 6) 9 n 4 n 45185047180 n (n - 6) 92647008000 n (n - 6) - ----------------------- + ----------------------- n 14 n 14 n (n - 6) n (n - 6) 7 n 3 n 18 n 6 541256248820 n (n - 6) 20756736000 n (n - 6) 768 n ((n - 1) ) - ------------------------ - ----------------------- - ------------------- n 14 n 14 22 n 6 3 n (n - 6) n (n - 6) (n - 1) (n ) 10 n 2 n 9 n 2 n 412608 n ((n - 1) ) (n - 3) 80640 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 123557 n ((n - 1) ) (n - 3) 251779 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 9 8 n 3 9 18 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 1665505 n ((n - 1) ) (n - 3) 5363596 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n 10 n 9 n 16415 n (n - 4) 270067 n (n - 4) 749455 n (n - 4) - ------------------ + ------------------- - ------------------ n 10 n 10 n 10 2 n (n - 4) 4 n (n - 4) 2 n (n - 4) 8 n 7 n 6 n 17149601 n (n - 4) 22424675 n (n - 4) 6552091 n (n - 4) + -------------------- - -------------------- + ------------------- n 10 n 10 n 10 12 n (n - 4) 6 n (n - 4) n (n - 4) 5 n 4 n 3 n 7310310 n (n - 4) 4651416 n (n - 4) 1270080 n (n - 4) - ------------------- + ------------------- - ------------------- n 10 n 10 n 10 n (n - 4) n (n - 4) n (n - 4) 14 n 13 n 12 n 7 n (n - 4) 175 n (n - 4) 2569 n (n - 4) + --------------- - ---------------- + ----------------- n 10 n 10 n 10 12 n (n - 4) 6 n (n - 4) 4 n (n - 4) 26 n 5 25 n 5 24 n 5 n ((n - 1) ) 31 n ((n - 1) ) 433 n ((n - 1) ) + ------------------ - ------------------ + ------------------- 21 n 5 21 n 5 21 n 5 54 (n - 1) (n ) 54 (n - 1) (n ) 54 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 1199 n ((n - 1) ) 1097 n ((n - 1) ) 12536 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 21 n 5 21 n 5 21 n 5 18 (n - 1) (n ) 3 (n - 1) (n ) 9 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 101440 n ((n - 1) ) 193768 n ((n - 1) ) 256912 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 21 n 5 21 n 5 21 n 5 27 (n - 1) (n ) 27 (n - 1) (n ) 27 (n - 1) (n ) 17 n 5 16 n 5 18 n 25024 n ((n - 1) ) 4352 n ((n - 1) ) 7 n (n - 5) - --------------------- + -------------------- + ---------------- 21 n 5 21 n 5 n 13 3 (n - 1) (n ) (n - 1) (n ) 216 n (n - 5) 17 n 15 n 14 n 203 n (n - 5) 191975 n (n - 5) 9267349 n (n - 5) - ---------------- - ------------------- + -------------------- n 13 n 13 n 13 72 n (n - 5) 72 n (n - 5) 216 n (n - 5) 13 n 12 n 11 n 35436401 n (n - 5) 897081185 n (n - 5) 1887810925 n (n - 5) - --------------------- + ---------------------- - ----------------------- n 13 n 13 n 13 72 n (n - 5) 216 n (n - 5) 72 n (n - 5) 16 n 10 n 6 n 24115 n (n - 5) 3366845482 n (n - 5) 3176376168 n (n - 5) + ------------------ + ----------------------- + ---------------------- n 13 n 13 n 13 216 n (n - 5) 27 n (n - 5) n (n - 5) 5 n 8 n 2894498656 n (n - 5) 32104410520 n (n - 5) - ---------------------- + ----------------------- n 13 n 13 n (n - 5) 27 n (n - 5) 9 n 4 n 4015219208 n (n - 5) 1559725440 n (n - 5) - ---------------------- + ---------------------- n 13 n 13 9 n (n - 5) n (n - 5) 7 n 3 n 20827283750 n (n - 5) 372556800 n (n - 5) - ----------------------- - --------------------- n 13 n 13 9 n (n - 5) n (n - 5) 27 n 3 n 26 n 3 n 77 n ((n - 1) ) (n - 4) 2699 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 9 n 4 12 9 n 4 12 54 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 28 n 3 n 24 n 3 n n ((n - 1) ) (n - 4) 7 n ((n - 1) ) (n - 2) - --------------------------- - ---------------------------- 9 n 4 12 15 n 4 4 54 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 2) 23 n 3 n 22 n n 77 n ((n - 1) ) (n - 2) 881 n (n - 1) (n - 6) + --------------------------- - -------------------------- 15 n 4 4 3 n 2 14 72 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 6) 21 n n 20 n n 8894 n (n - 1) (n - 6) 554777 n (n - 1) (n - 6) + -------------------------- - ---------------------------- 3 n 2 14 3 n 2 14 3 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 18 n n 17 n n 288152696 n (n - 1) (n - 6) 2539074382 n (n - 1) (n - 6) - ------------------------------- + -------------------------------- 3 n 2 14 3 n 2 14 27 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 16 n n 15 n n 11648991211 n (n - 1) (n - 6) 21010917499 n (n - 1) (n - 6) - --------------------------------- + --------------------------------- 3 n 2 14 3 n 2 14 18 (n - 1) (n ) (n - 6) 6 (n - 1) (n ) (n - 6) 14 n n 19 n n 134304712243 n (n - 1) (n - 6) 8403799 n (n - 1) (n - 6) - ---------------------------------- + ----------------------------- 3 n 2 14 3 n 2 14 9 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 13 n n 9 n n 449308837016 n (n - 1) (n - 6) 421051618112 n (n - 1) (n - 6) + ---------------------------------- + --------------------------------- 3 n 2 14 3 n 2 14 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 11 n n 309296131840 n (n - 1) (n - 6) 7015791393304 n (n - 1) (n - 6) - --------------------------------- + ----------------------------------- 3 n 2 14 3 n 2 14 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 12 n n 7 n n 3510788648672 n (n - 1) (n - 6) 137367168000 n (n - 1) (n - 6) - ----------------------------------- + --------------------------------- 3 n 2 14 3 n 2 14 27 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 3502811492144 n (n - 1) (n - 6) 27675648000 n (n - 1) (n - 6) - ----------------------------------- - -------------------------------- 3 n 2 14 3 n 2 14 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 24 n n 23 n n n (n - 1) (n - 6) 89 n (n - 1) (n - 6) - --------------------------- + --------------------------- 5 n 2 12 5 n 2 12 72 (n - 1) (n ) (n - 6) 72 (n - 1) (n ) (n - 6) 22 n n 26 n 2 n 611 n (n - 1) (n - 6) n ((n - 1) ) (n - 5) - --------------------------- + --------------------------- 5 n 2 12 6 n 3 13 12 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 5) 25 n 2 n 22 n 3 n 91 n ((n - 1) ) (n - 5) 1729 n ((n - 1) ) (n - 2) - --------------------------- - ----------------------------- 6 n 3 13 15 n 4 4 36 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 5173 n ((n - 1) ) (n - 2) 61985 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 15 n 4 4 15 n 4 4 36 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 29001 n ((n - 1) ) (n - 2) 381458 n ((n - 1) ) (n - 2) + ------------------------------ + ------------------------------- 15 n 4 4 15 n 4 4 8 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 31192 n ((n - 1) ) (n - 2) 13664 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 4 4 15 n 4 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 18 n 3 n 2688 n ((n - 1) ) (n - 2) 593705 n ((n - 1) ) (n - 2) - ----------------------------- - ------------------------------- 15 n 4 4 15 n 4 4 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 217637 n ((n - 1) ) (n - 2) 1032710 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 15 n 4 4 15 n 4 4 9 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 13 n 4 6 13 n 4 6 18 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 277 n ((n - 1) ) (n - 2) 2621 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 11003 n ((n - 1) ) (n - 2) 48553 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 4 6 13 n 4 6 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 230794 n ((n - 1) ) (n - 2) 528860 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 869000 n ((n - 1) ) (n - 2) 997528 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 84256 n ((n - 1) ) (n - 2) 38016 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 4 6 13 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 22 n 2 n 7680 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 13 n 4 6 10 n 3 7 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 287 n ((n - 1) ) (n - 3) 1337 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 3 7 10 n 3 7 72 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 29981 n ((n - 1) ) (n - 3) 150409 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 36 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 801997 n ((n - 1) ) (n - 3) 4674397 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 10 n 3 7 10 n 3 7 24 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 3348842 n ((n - 1) ) (n - 3) 7073780 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 10870174 n ((n - 1) ) (n - 3) 3933692 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 13 n n 951216 n ((n - 1) ) (n - 3) 185862479 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 10 n 3 7 3 n 2 12 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 4) 9 n n 8 n n 760251368 n (n - 1) (n - 4) 223285264 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 3 n 2 12 3 n 2 12 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n n 12 n n 891865304 n (n - 1) (n - 4) 112051907 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 3 n 2 12 3 n 2 12 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 7 n n 18 n n 38614720 n (n - 1) (n - 4) 89 n (n - 1) (n - 4) + ----------------------------- - -------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n n 17 n n 73 n (n - 1) (n - 4) 47213 n (n - 1) (n - 4) + --------------------------- + --------------------------- 3 n 2 12 3 n 2 12 54 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 15 n n 14 n n 1895113 n (n - 1) (n - 4) 37913249 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 3 n 2 12 3 n 2 12 18 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 16 n n 10 n n 617705 n (n - 1) (n - 4) 1706523824 n (n - 1) (n - 4) - ---------------------------- - -------------------------------- 3 n 2 12 3 n 2 12 54 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 6 n n 20 n n 8870400 n (n - 1) (n - 4) n (n - 1) (n - 4) - ---------------------------- - --------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 16 n 2 n 12 n 2 n 261009100 n ((n - 1) ) (n - 4) 1095179264 n ((n - 1) ) (n - 4) + ---------------------------------- + ----------------------------------- 6 n 3 12 6 n 3 12 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n 2 n 14 n 2 n 281207344 n ((n - 1) ) (n - 4) 193903024 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 6 n 3 12 6 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 10 n 2 n 782088373 n ((n - 1) ) (n - 4) 129149760 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 6 n 3 12 6 n 3 12 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 22 n 2 n 52019 n ((n - 1) ) (n - 4) 2549 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 6 n 3 12 6 n 3 12 36 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 20 n 2 n 18 n 2 n 237377 n ((n - 1) ) (n - 4) 49283927 n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------------- 6 n 3 12 6 n 3 12 12 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 29076553 n ((n - 1) ) (n - 4) 6920749 n ((n - 1) ) (n - 4) - --------------------------------- - -------------------------------- 6 n 3 12 6 n 3 12 4 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 2846900876 n ((n - 1) ) (n - 4) 26611200 n ((n - 1) ) (n - 4) - ----------------------------------- - -------------------------------- 6 n 3 12 6 n 3 12 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 2 n 21 n 5 20 n 5 n ((n - 1) ) (n - 4) 17 n ((n - 1) ) 61 n ((n - 1) ) + --------------------------- - ------------------ + ------------------ 6 n 3 12 17 n 5 17 n 5 36 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) 3 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 80 n ((n - 1) ) 560 n ((n - 1) ) 776 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 16 n 5 14 n 13 n 12 n 592 n ((n - 1) ) n (n - 5) 15 n (n - 5) 448 n (n - 5) + ------------------- + ------------- - --------------- + ---------------- 17 n 5 n 9 n 9 n 9 3 (n - 1) (n ) 6 n (n - 5) 2 n (n - 5) 3 n (n - 5) 11 n 10 n 9 n 1735 n (n - 5) 26111 n (n - 5) 133455 n (n - 5) - ----------------- + ------------------ - ------------------ n 9 n 9 n 9 n (n - 5) 2 n (n - 5) 2 n (n - 5) 8 n 7 n 6 n 708109 n (n - 5) 576810 n (n - 5) 2856308 n (n - 5) + ------------------ - ------------------ + ------------------- n 9 n 9 n 9 3 n (n - 5) n (n - 5) 3 n (n - 5) 10 n 6 n 5 n 28671863 n (n - 4) 62778424 n (n - 4) 21501998 n (n - 4) + --------------------- + -------------------- - -------------------- n 12 n 12 n 12 216 n (n - 4) 9 n (n - 4) 3 n (n - 4) 8 n 9 n 4 n 51909242 n (n - 4) 128518753 n (n - 4) 4272440 n (n - 4) + -------------------- - --------------------- + ------------------- n 12 n 12 n 12 27 n (n - 4) 216 n (n - 4) n (n - 4) 15 n 16 n 14 n 71 n (n - 4) n (n - 4) 2261 n (n - 4) - ---------------- + ---------------- + ----------------- n 12 n 12 n 12 216 n (n - 4) 216 n (n - 4) 216 n (n - 4) 12 n 11 n 13 n 59147 n (n - 4) 1540231 n (n - 4) 42691 n (n - 4) + ------------------ - -------------------- - ------------------ n 12 n 12 n 12 24 n (n - 4) 72 n (n - 4) 216 n (n - 4) 7 n 3 n 22 n 5 119147842 n (n - 4) 1108800 n (n - 4) n ((n - 1) ) - --------------------- - ------------------- + ----------------- n 12 n 12 17 n 5 27 n (n - 4) n (n - 4) 6 (n - 1) (n ) 24 n n n 6 n 5 n (n - 1) (n - 6) 85 (n - 2) n 75 (n - 2) n - --------------------------- + -------------- - -------------- 3 n 2 14 6 n 6 n 54 (n - 1) (n ) (n - 6) 6 (n - 2) n 2 (n - 2) n n 4 n 3 n 8 n 7 137 (n - 2) n 20 (n - 2) n (n - 2) n 5 (n - 2) n + --------------- - -------------- + ------------- - ------------- 6 n 6 n 6 n 6 n 3 (n - 2) n (n - 2) n 6 (n - 2) n 2 (n - 2) n 23 n 2 n 11 n n 25 n ((n - 1) ) (n - 4) 72394669880 n (n - 1) (n - 5) - --------------------------- + --------------------------------- 6 n 3 12 3 n 2 13 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 32111843296 n (n - 1) (n - 5) 5986298880 n (n - 1) (n - 5) - --------------------------------- + ------------------------------- 3 n 2 13 3 n 2 13 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 40138258864 n (n - 1) (n - 5) 1277337600 n (n - 1) (n - 5) - --------------------------------- - ------------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 14 n 2 n 13 n 2 n 4203488 n ((n - 1) ) (n - 3) 21370472 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 25358480 n ((n - 1) ) (n - 3) 6644864 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1032448 n ((n - 1) ) (n - 3) 215040 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 9 8 n 3 9 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 60 n ((n - 1) ) (n - 3) 7087 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n n 13 n n n (n - 1) (n - 2) 2 n (n - 1) (n - 2) - -------------------------- + ----------------------- 5 n 2 6 5 n 2 6 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 41 n (n - 1) (n - 2) 117 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 1623 n (n - 1) (n - 2) 873 n (n - 1) (n - 2) - -------------------------- + ------------------------ 5 n 2 6 5 n 2 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 n n 7 n n 3401 n (n - 1) (n - 2) 808 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 5 n 4 n 240 n (n - 1) (n - 2) 1007840 n (n - 5) 613056 n (n - 5) - ------------------------ - ------------------- + ------------------ 5 n 2 6 n 9 n 9 (n - 1) (n ) (n - 2) n (n - 5) n (n - 5) 3 n 18 n 17 n 161280 n (n - 5) n (n - 6) 20 n (n - 6) - ------------------ + --------------- - --------------- n 9 n 12 n 12 n (n - 5) 12 n (n - 6) 3 n (n - 6) 15 n 14 n 13 n 16115 n (n - 6) 480881 n (n - 6) 2566355 n (n - 6) - ------------------ + ------------------- - -------------------- n 12 n 12 n 12 3 n (n - 6) 6 n (n - 6) 3 n (n - 6) 12 n 11 n 16 n 20226140 n (n - 6) 119744845 n (n - 6) 730 n (n - 6) + --------------------- - ---------------------- + ---------------- n 12 n 12 n 12 3 n (n - 6) 3 n (n - 6) 3 n (n - 6) 10 n 6 n 2145379973 n (n - 6) 3749148772 n (n - 6) + ----------------------- + ---------------------- n 12 n 12 12 n (n - 6) n (n - 6) 5 n 8 n 9 n 3292333440 n (n - 6) 4597701380 n (n - 6) 1815255805 n (n - 6) - ---------------------- + ---------------------- - ---------------------- n 12 n 12 n 12 n (n - 6) 3 n (n - 6) 3 n (n - 6) 4 n 7 n 3 n 1717704000 n (n - 6) 8542984540 n (n - 6) 399168000 n (n - 6) + ---------------------- - ---------------------- - --------------------- n 12 n 12 n 12 n (n - 6) 3 n (n - 6) n (n - 6) 24 n 2 n 23 n 2 n 3797 n ((n - 1) ) (n - 5) 96403 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 6 n 3 13 6 n 3 13 36 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 21 n 2 n 20 n 2 n 20811757 n ((n - 1) ) (n - 5) 64732733 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 6 n 3 13 6 n 3 13 36 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 19 n 2 n 1382427761 n ((n - 1) ) (n - 5) - ----------------------------------- 6 n 3 13 36 (n - 1) (n ) (n - 5) 18 n 2 n 1899172132 n ((n - 1) ) (n - 5) + ----------------------------------- 6 n 3 13 9 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 8098501697 n ((n - 1) ) (n - 5) 1666787 n ((n - 1) ) (n - 5) - ----------------------------------- + -------------------------------- 6 n 3 13 6 n 3 13 9 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 16 n 2 n 26786977984 n ((n - 1) ) (n - 5) + ------------------------------------ 6 n 3 13 9 (n - 1) (n ) (n - 5) 12 n 2 n 22151335488 n ((n - 1) ) (n - 5) + ------------------------------------ 6 n 3 13 (n - 1) (n ) (n - 5) 11 n 2 n 15590959872 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 3 13 (n - 1) (n ) (n - 5) 14 n 2 n 132602058176 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 13 9 (n - 1) (n ) (n - 5) 15 n 2 n 68309178236 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 3 13 9 (n - 1) (n ) (n - 5) 10 n 2 n 6624967680 n ((n - 1) ) (n - 5) + ----------------------------------- 6 n 3 13 (n - 1) (n ) (n - 5) 13 n 2 n 63916904272 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 3 13 3 (n - 1) (n ) (n - 5) 9 n 2 n 23 n n 1277337600 n ((n - 1) ) (n - 5) 107 n (n - 1) (n - 6) - ---------------------------------- + --------------------------- 6 n 3 13 3 n 2 14 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 6) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 26 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 98 n ((n - 1) ) (n - 2) 632 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 2559 n ((n - 1) ) (n - 2) 6738 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 34556 n ((n - 1) ) (n - 2) 36904 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 7424 n ((n - 1) ) (n - 2) 1920 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n 7 n (n - 1) (n - 3) 56 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 7 5 n 2 7 12 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n n 30 n 6 29 n 6 525 n (n - 1) (n - 3) n ((n - 1) ) 11 n ((n - 1) ) - ------------------------- - ------------------ + ------------------ 5 n 2 7 24 n 6 24 n 6 2 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) 12 (n - 1) (n ) 28 n 6 27 n 6 26 n 6 55 n ((n - 1) ) 4463 n ((n - 1) ) 2245 n ((n - 1) ) - ------------------ + -------------------- - -------------------- 24 n 6 24 n 6 24 n 6 4 (n - 1) (n ) 36 (n - 1) (n ) 3 (n - 1) (n ) 25 n 6 24 n 6 23 n 6 9559 n ((n - 1) ) 88328 n ((n - 1) ) 22036 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 24 n 6 24 n 6 24 n 6 3 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 22 n 6 21 n 6 20 n 6 107408 n ((n - 1) ) 369520 n ((n - 1) ) 31552 n ((n - 1) ) - ---------------------- + ---------------------- - --------------------- 24 n 6 24 n 6 24 n 6 3 (n - 1) (n ) 9 (n - 1) (n ) (n - 1) (n ) 19 n 6 15 n 14 n 14592 n ((n - 1) ) 32 n (n - 5) 1841 n (n - 5) + --------------------- - --------------- + ----------------- 24 n 6 n 11 n 11 (n - 1) (n ) n (n - 5) 2 n (n - 5) 13 n 12 n 11 n 15742 n (n - 5) 356763 n (n - 5) 1412796 n (n - 5) - ------------------ + ------------------- - -------------------- n 11 n 11 n 11 n (n - 5) 2 n (n - 5) n (n - 5) 16 n 10 n 6 n n (n - 5) 16073123 n (n - 5) 316353768 n (n - 5) + -------------- + --------------------- + --------------------- n 11 n 11 n 11 2 n (n - 5) 2 n (n - 5) n (n - 5) 5 n 8 n 9 n 307544832 n (n - 5) 99464288 n (n - 5) 33200926 n (n - 5) - --------------------- + -------------------- - -------------------- n 11 n 11 n 11 n (n - 5) n (n - 5) n (n - 5) 4 n 7 n 3 n 174718080 n (n - 5) 213032072 n (n - 5) 43545600 n (n - 5) + --------------------- - --------------------- - -------------------- n 11 n 11 n 11 n (n - 5) n (n - 5) n (n - 5) 12 n 11 n 10 n 9 n n (n - 3) 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) + -------------- - --------------- + ---------------- - --------------- n 9 n 9 n 9 n 9 12 n (n - 3) 6 n (n - 3) 2 n (n - 3) n (n - 3) 8 n 7 n 6 n 10507 n (n - 3) 18697 n (n - 3) 63173 n (n - 3) + ----------------- - ----------------- + ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) 3 n (n - 3) 5 n 4 n 3 n 86458 n (n - 3) 21624 n (n - 3) 6720 n (n - 3) - ----------------- + ----------------- - ---------------- n 9 n 9 n 9 3 n (n - 3) n (n - 3) n (n - 3) 15 n 5 30 n 4 n 1024 n ((n - 1) ) n ((n - 1) ) (n - 3) - -------------------- + ----------------------------- 21 n 5 12 n 5 11 (n - 1) (n ) 216 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 65 n ((n - 1) ) (n - 3) 955 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 12 n 5 11 12 n 5 11 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 5605 n ((n - 1) ) (n - 3) 396553 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 12 n 5 11 12 n 5 11 36 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n n ((n - 1) ) (n - 3) 53 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 14 n 5 9 14 n 5 9 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 640 n ((n - 1) ) (n - 3) 3115 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 184573 n ((n - 1) ) (n - 3) 1306261 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 14 n 5 9 14 n 5 9 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 1817 n ((n - 1) ) (n - 4) 31847 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 11 n 4 10 11 n 4 10 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 24 n 3 n 20 n 3 n 126573 n ((n - 1) ) (n - 4) 96517831 n ((n - 1) ) (n - 4) - ------------------------------- - --------------------------------- 11 n 4 10 11 n 4 10 4 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 280698817 n ((n - 1) ) (n - 4) 209552156 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 11 n 4 10 11 n 4 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 1072906220 n ((n - 1) ) (n - 4) 455944048 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 11 n 4 10 11 n 4 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 419674320 n ((n - 1) ) (n - 4) 262909440 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 11 n 4 10 11 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 20 n 2 n 100078848 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + ---------------------------------- + --------------------------- 11 n 4 10 10 n 3 6 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 2) 20 n n 19 n n 7 n (n - 1) (n - 4) 413 n (n - 1) (n - 4) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 18 n n 14 n n 11039 n (n - 1) (n - 4) 81049157 n (n - 1) (n - 4) - --------------------------- - ------------------------------ 5 n 2 10 5 n 2 10 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 13 n n 12 n n 335555563 n (n - 1) (n - 4) 259020097 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 10 5 n 2 10 72 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 11 n n 10 n n 296627884 n (n - 1) (n - 4) 165248636 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 9 n n 8 n n 65075178 n (n - 1) (n - 4) 51302496 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 24109344 n (n - 1) (n - 4) 5080320 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 16 n n 177121 n (n - 1) (n - 4) 635131 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 72 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 15 n n 21 n n 4844749 n (n - 1) (n - 4) 73 n (n - 1) (n - 5) + ----------------------------- + --------------------------- 5 n 2 10 5 n 2 11 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 5) 20 n n 22 n n 2443 n (n - 1) (n - 5) n (n - 1) (n - 5) - --------------------------- - --------------------------- 5 n 2 11 5 n 2 11 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 21 n n 20 n n 2579 n (n - 1) (n - 6) 269957 n (n - 1) (n - 6) + -------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 2 (n - 1) (n ) (n - 6) 12 (n - 1) (n ) (n - 6) 18 n n 17 n n 24980774 n (n - 1) (n - 6) 374275907 n (n - 1) (n - 6) - ------------------------------ + ------------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 16 n n 15 n n 2935361011 n (n - 1) (n - 6) 4551624033 n (n - 1) (n - 6) - -------------------------------- + -------------------------------- 5 n 2 12 5 n 2 12 24 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 6) 14 n n 19 n n 25169233153 n (n - 1) (n - 6) 3444553 n (n - 1) (n - 6) - --------------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 12 (n - 1) (n ) (n - 6) 12 (n - 1) (n ) (n - 6) 13 n n 9 n n 18331871288 n (n - 1) (n - 6) 31906457328 n (n - 1) (n - 6) + --------------------------------- + -------------------------------- 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 11 n n 21211469760 n (n - 1) (n - 6) 221783224162 n (n - 1) (n - 6) - -------------------------------- + ---------------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 12 n n 7 n n 125620341188 n (n - 1) (n - 6) 8600544000 n (n - 1) (n - 6) - ---------------------------------- + ------------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 98585224676 n (n - 1) (n - 6) 1596672000 n (n - 1) (n - 6) - --------------------------------- - ------------------------------- 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 25 n 4 n 24 n 4 n 3315817 n ((n - 1) ) (n - 3) 2538470 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 12 n 5 11 12 n 5 11 216 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 11597135 n ((n - 1) ) (n - 3) 39861602 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 12 n 5 11 12 n 5 11 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 11459888 n ((n - 1) ) (n - 3) 199379800 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 12 n 5 11 12 n 5 11 3 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 282977680 n ((n - 1) ) (n - 3) 285604160 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 12 n 5 11 12 n 5 11 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 7169952 n ((n - 1) ) (n - 3) 8755840 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 12 n 5 11 12 n 5 11 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 4 n 19 n 3 n 537600 n ((n - 1) ) (n - 3) 869404382 n ((n - 1) ) (n - 4) - ------------------------------- + ---------------------------------- 12 n 5 11 9 n 4 12 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 15 n 3 n 6067961120 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 4 12 9 (n - 1) (n ) (n - 4) 14 n 3 n 1383128896 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 4 12 3 (n - 1) (n ) (n - 4) 17 n 3 n 12674310616 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 4 12 27 (n - 1) (n ) (n - 4) 18 n 3 n 13 n 3 n 6618607924 n ((n - 1) ) (n - 4) 189940480 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 9 n 4 12 9 n 4 12 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 25 n 3 n 816169 n ((n - 1) ) (n - 4) 19039 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------ 9 n 4 12 9 n 4 12 54 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 23 n 3 n 21 n 3 n 8345011 n ((n - 1) ) (n - 4) 360256831 n ((n - 1) ) (n - 4) + -------------------------------- + ---------------------------------- 9 n 4 12 9 n 4 12 54 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 20 n 3 n 22 n 3 n 783707177 n ((n - 1) ) (n - 4) 63125425 n ((n - 1) ) (n - 4) - ---------------------------------- - --------------------------------- 9 n 4 12 9 n 4 12 27 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 16 n 3 n 12 n 3 n 17958679088 n ((n - 1) ) (n - 4) 35481600 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 9 n 4 12 9 n 4 12 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 9 n 8 n 7 n 7 n (n - 3) 161 n (n - 3) 1519 n (n - 3) 7595 n (n - 3) + -------------- - --------------- + ---------------- - ---------------- n 7 n 7 n 7 n 7 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 6 n (n - 3) 6 n 5 n 4 n 10829 n (n - 3) 17542 n (n - 3) 4956 n (n - 3) + ----------------- - ----------------- + ---------------- n 7 n 7 n 7 3 n (n - 3) 3 n (n - 3) n (n - 3) 3 n 22 n 3 n 1680 n (n - 3) n ((n - 1) ) (n - 2) - ---------------- - -------------------------- n 7 11 n 4 6 n (n - 3) 2 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 14 n ((n - 1) ) (n - 2) 173 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 1242 n ((n - 1) ) (n - 2) 11469 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 17784 n ((n - 1) ) (n - 2) 37492 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 53008 n ((n - 1) ) (n - 2) 48040 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 25152 n ((n - 1) ) (n - 2) 5760 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 34 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 514 n ((n - 1) ) (n - 3) 4560 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 26373 n ((n - 1) ) (n - 3) 104382 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 288392 n ((n - 1) ) (n - 3) 555920 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 732176 n ((n - 1) ) (n - 3) 626784 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 313344 n ((n - 1) ) (n - 3) 69120 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 4 21 n 4 20 n 4 n ((n - 1) ) 29 n ((n - 1) ) 125 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 18 n 4 18 n 4 18 n 4 216 (n - 1) (n ) 216 (n - 1) (n ) 72 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 949 n ((n - 1) ) 1171 n ((n - 1) ) 1963 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 18 n 4 18 n 4 18 n 4 72 (n - 1) (n ) 18 (n - 1) (n ) 9 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 13582 n ((n - 1) ) 21278 n ((n - 1) ) 2408 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 18 n 4 18 n 4 18 n 4 27 (n - 1) (n ) 27 (n - 1) (n ) 3 (n - 1) (n ) 13 n 4 22 n n 480 n ((n - 1) ) n (n - 1) (n - 5) + ------------------- - --------------------------- 18 n 4 3 n 2 13 (n - 1) (n ) 18 (n - 1) (n ) (n - 5) 21 n n 20 n n 89 n (n - 1) (n - 5) 3619 n (n - 1) (n - 5) + --------------------------- - --------------------------- 3 n 2 13 3 n 2 13 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 18 n n 17 n n 1488457 n (n - 1) (n - 5) 17834843 n (n - 1) (n - 5) - ----------------------------- + ------------------------------ 3 n 2 13 3 n 2 13 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 16 n n 15 n n 158528513 n (n - 1) (n - 5) 1065370735 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 3 n 2 13 3 n 2 13 18 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 14 n n 19 n n 2732973529 n (n - 1) (n - 5) 89165 n (n - 1) (n - 5) - -------------------------------- + --------------------------- 3 n 2 13 3 n 2 13 9 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 13 n n 9 n n 10731056336 n (n - 1) (n - 5) 15852430272 n (n - 1) (n - 5) + --------------------------------- + -------------------------------- 3 n 2 13 3 n 2 13 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 18 n 2 n 12597810432 n (n - 1) (n - 5) 311405996 n ((n - 1) ) (n - 5) - -------------------------------- + ---------------------------------- 3 n 2 13 8 n 3 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 1148857622 n ((n - 1) ) (n - 5) 87667 n ((n - 1) ) (n - 5) - ----------------------------------- + ------------------------------ 8 n 3 11 8 n 3 11 3 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 16 n 2 n 1105017840 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 11 (n - 1) (n ) (n - 5) 12 n 2 n 5191665024 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 11 (n - 1) (n ) (n - 5) 11 n 2 n 3328525824 n ((n - 1) ) (n - 5) - ----------------------------------- 8 n 3 11 (n - 1) (n ) (n - 5) 14 n 2 n 38442000320 n ((n - 1) ) (n - 5) + ------------------------------------ 8 n 3 11 9 (n - 1) (n ) (n - 5) 15 n 2 n 7437925928 n ((n - 1) ) (n - 5) - ----------------------------------- 8 n 3 11 3 (n - 1) (n ) (n - 5) 10 n 2 n 1299548160 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 11 (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 16588614304 n ((n - 1) ) (n - 5) 232243200 n ((n - 1) ) (n - 5) - ------------------------------------ - --------------------------------- 8 n 3 11 8 n 3 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 26 n 2 n 24 n 2 n n ((n - 1) ) (n - 5) 863 n ((n - 1) ) (n - 5) + --------------------------- + ---------------------------- 8 n 3 11 8 n 3 11 18 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 23 n 2 n 25 n 2 n 18209 n ((n - 1) ) (n - 5) 25 n ((n - 1) ) (n - 5) - ------------------------------ - --------------------------- 8 n 3 11 8 n 3 11 6 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 18 n 6 19 n 2 n 3072 n ((n - 1) ) 11 n ((n - 1) ) (n - 2) - -------------------- - --------------------------- 24 n 6 10 n 3 6 (n - 1) (n ) 24 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 61 n ((n - 1) ) (n - 2) 237 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 8159 n ((n - 1) ) (n - 2) 10745 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 134089 n ((n - 1) ) (n - 2) 43447 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 6 10 n 3 6 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 86909 n ((n - 1) ) (n - 2) 8396 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 10 n 3 6 10 n 3 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 4272 n ((n - 1) ) (n - 2) 960 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 14 n n 13 n n 11017 n (n - 1) (n - 3) 185677 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 12 n n 11 n n 554237 n (n - 1) (n - 3) 786662 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 1579292 n (n - 1) (n - 3) 2184034 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 657184 n (n - 1) (n - 3) 115616 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 26880 n (n - 1) (n - 3) - -------------------------- 5 n 2 9 (n - 1) (n ) (n - 3) and in Maple notation 1/36*n^34*((n-1)^n)^7/(n-1)^27/(n^n)^7-35/36*n^33*((n-1)^n)^7/(n-1)^27/(n^n)^7+ 187/12*n^32*((n-1)^n)^7/(n-1)^27/(n^n)^7-5453/36*n^31*((n-1)^n)^7/(n-1)^27/(n^n )^7+17933/18*n^30*((n-1)^n)^7/(n-1)^27/(n^n)^7-4683*n^29*((n-1)^n)^7/(n-1)^27/( n^n)^7+145682/9*n^28*((n-1)^n)^7/(n-1)^27/(n^n)^7-374980/9*n^27*((n-1)^n)^7/(n-\ 1)^27/(n^n)^7+239624/3*n^26*((n-1)^n)^7/(n-1)^27/(n^n)^7-1013968/9*n^25*((n-1)^ n)^7/(n-1)^27/(n^n)^7+1023008/9*n^24*((n-1)^n)^7/(n-1)^27/(n^n)^7-77696*n^23*(( n-1)^n)^7/(n-1)^27/(n^n)^7+32256*n^22*((n-1)^n)^7/(n-1)^27/(n^n)^7+1/3*n^26*((n -1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-10*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5* (n-2)^n/(n-2)^6+134*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-3176/3*n^ 23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+5479*n^22*((n-1)^n)^4/(n-1)^14/ (n^n)^5*(n-2)^n/(n-2)^6-19502*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6 +146120/3*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-85328*n^19*((n-1)^n )^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+102704*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*( n-2)^n/(n-2)^6-242464/3*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+37376 *n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-7680*n^15*((n-1)^n)^4/(n-1)^ 14/(n^n)^5*(n-2)^n/(n-2)^6-1/2*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^ 7+18*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-291*n^22*((n-1)^n)^3/(n-\ 1)^11/(n^n)^4*(n-3)^n/(n-3)^7+2794*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n -3)^7-35493/2*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+78564*n^19*((n-\ 1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-248578*n^18*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-3)^n/(n-3)^7+566352*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-\ 922008*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+1045568*n^15*((n-1)^n) ^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-783456*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -3)^n/(n-3)^7+347904*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-69120*n^ 12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-44/3*n^21*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-4)^n/(n-4)^8+875/3*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-\ 10414/3*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+27589*n^18*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-154624*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^ n/(n-4)^8+1886045/3*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-5631862/3* n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+12347608/3*n^14*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^8-19622864/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4) ^n/(n-4)^8+7318960*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-5455008*n^ 11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+2423808*n^10*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-4)^n/(n-4)^8-483840*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8 +1/3*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-1/12*n^20*(n-1)^n/(n-1)^5 /(n^n)^2*(n-5)^n/(n-5)^9+9/2*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-1327/ 12*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+1639*n^17*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^9-196399/12*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+ 232921/2*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-7306001/12*n^14*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+2374692*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-\ 5)^9-20822696/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+15119348*n^11*(n-1 )^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-72422588/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 5)^n/(n-5)^9+27366544*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-20789568*n^8* (n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+9453312*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 5)^n/(n-5)^9-1935360*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+1/12*n^26*((n-\ 1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-3*n^25*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n -2)^n/(n-2)^8+95/2*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-1310/3*n^ 23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+10363/4*n^22*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-2)^n/(n-2)^8-10423*n^21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2 )^8+87113/3*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-56060*n^19*((n-1) ^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+73540*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5* (n-2)^n/(n-2)^8-187312/3*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+ 30864*n^16*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-6720*n^15*((n-1)^n)^4/( n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+9800/3*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n /(n-3)^9-73009/3*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+124596*n^19*( (n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-1349060/3*n^18*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-3)^n/(n-3)^9+3460336/3*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3) ^9-2088080*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+7809088/3*n^15*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-6364352/3*n^14*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-3)^n/(n-3)^9+1014528*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-\ 215040*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-1/3*n^24*((n-1)^n)^3/(n -1)^9/(n^n)^4*(n-3)^n/(n-3)^9+44/3*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-\ 3)^9-286*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+1/2*n^22*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-27*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n -4)^10-580821*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+5482475/2*n^16* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-9388191*n^15*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^10+23330064*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4) ^10-41544392*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+51515160*n^12*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-42100272*n^11*((n-1)^n)^2/(n-1)^6/(n ^n)^3*(n-4)^n/(n-4)^10+20302272*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^ 10-4354560*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10+1305/2*n^20*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-9337*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 4)^n/(n-4)^10+176427/2*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^10-1969/3 *n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+11722*n^17*(n-1)^n/(n-1)^3/(n^n) ^2*(n-5)^n/(n-5)^11-419731/3*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+ 1179706*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-21724307/3*n^14*(n-1)^n/( n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+22*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 11+32849366*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+626834912*n^9*(n-1)^n /(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-526538496*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^11+274640432*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-331732280/3*n ^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11+261987840*n^7*(n-1)^n/(n-1)^3/(n^n )^2*(n-5)^n/(n-5)^11-1484835824/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11 -58060800*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^11-1/3*n^20*(n-1)^n/(n-1)^3 /(n^n)^2*(n-5)^n/(n-5)^11-128*n^12*((n-1)^n)^4/(n-1)^18/(n^n)^4-64*n^15*((n-1)^ n)^5/(n-1)^17/(n^n)^5-6144*n^21*((n-1)^n)^7/(n-1)^27/(n^n)^7-2/3*n^20*((n-1)^n) ^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+14*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/ (n-2)^6-374/3*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+1846/3*n^17*((n-\ 1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-5528/3*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4 *(n-2)^n/(n-2)^6+10288/3*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6-3872* n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-2)^n/(n-2)^6+7264/3*n^13*((n-1)^n)^3/(n-1)^ 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17059955/27*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^6-32336632/27*n^18* ((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^6+47256674/27*n^17*((n-1)^n)^3/(n-1) ^15/(n^n)^4*(n-4)^n/(n-4)^6-17390068/9*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^ n/(n-4)^6+4670336/3*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^6-862592*n^ 14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^6+293376*n^13*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-4)^n/(n-4)^6-46080*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4 )^6-4533545/216*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^6+18061045/216* n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^6-28064335/108*n^20*((n-1)^n)^3 /(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^6-1/18*n^32*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^ n/(n-2)^6-349/9*n^30*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6+3799/9*n^29*( (n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6-18731/6*n^28*((n-1)^n)^5/(n-1)^19/( n^n)^6*(n-2)^n/(n-2)^6+298663/18*n^27*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2 )^6-588130/9*n^26*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6+13/6*n^31*((n-1) ^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6+193706*n^25*((n-1)^n)^5/(n-1)^19/(n^n)^6 *(n-2)^n/(n-2)^6+7365472/9*n^21*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6-\ 496768*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6+6588968/9*n^23*((n-1)^ n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6-3907616/9*n^24*((n-1)^n)^5/(n-1)^19/(n^n) ^6*(n-2)^n/(n-2)^6+182784*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6-\ 913824*n^22*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6-30720*n^18*((n-1)^n)^5 /(n-1)^19/(n^n)^6*(n-2)^n/(n-2)^6+233/3*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3) ^n/(n-3)^7-5893/6*n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7+33927/4*n^ 26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7+1/12*n^30*((n-1)^n)^4/(n-1)^16/ (n^n)^5*(n-3)^n/(n-3)^7-15/4*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7-\ 635821/12*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7+1484119/6*n^24*((n-\ 1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7-878689*n^23*((n-1)^n)^4/(n-1)^16/(n^n) ^5*(n-3)^n/(n-3)^7+7183870/3*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7-\ 15017332/3*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7+7959704*n^20*((n-1 )^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7-28355984/3*n^19*((n-1)^n)^4/(n-1)^16/(n ^n)^5*(n-3)^n/(n-3)^7+8110624*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7 -4745088*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7+1691136*n^16*((n-1)^ n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^7-276480*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5* (n-3)^n/(n-3)^7-200299/18*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8+ 1500539/18*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8-8462771/18*n^22*(( n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8-1/18*n^28*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-4)^n/(n-4)^8+36653347/18*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^ 8-61602232/9*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8+161222414/9*n^19 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8-327382576/9*n^18*((n-1)^n)^3/(n-1 )^13/(n^n)^4*(n-4)^n/(n-4)^8+510257000/9*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4 )^n/(n-4)^8-66465792*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8+56630560 *n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8-33048960*n^14*((n-1)^n)^3/(n -1)^13/(n^n)^4*(n-4)^n/(n-4)^8+11791872*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4) ^n/(n-4)^8-1935360*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8+53/18*n^27 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^8-1297/18*n^26*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-4)^n/(n-4)^8+19457/18*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-\ 4)^8-3671/8*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9+136403/24*n^22*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9-412037/8*n^21*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-5)^n/(n-5)^9+1/72*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9-7 /8*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9+613/24*n^24*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-5)^n/(n-5)^9+25462141/72*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -5)^n/(n-5)^9-15033285/8*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9+ 93875695/12*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9-25656905*n^17*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9+198835484/3*n^16*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-5)^n/(n-5)^9-134053154*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n -5)^9+1886422868/9*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9-247911712* n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9+214056832*n^12*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-5)^n/(n-5)^9-127025664*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5 )^n/(n-5)^9+46199808*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9-7741440* n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^9-689521/12*n^18*(n-1)^n/(n-1)^5 /(n^n)^2*(n-5)^n/(n-5)^11+6899227/12*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5) ^11-51534905/12*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+293087663/12*n^15 *(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-641130325/6*n^14*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^11+49741/12*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+ 1082156108/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+2867444064*n^9*(n-1) ^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-2052609408*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5 )^n/(n-5)^11+5540352764/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-\ 2808268064/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+887569920*n^7*(n-1)^ n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-2713431544*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5 )^n/(n-5)^11-174182400*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-61/6*n^23*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+565/2*n^22*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-4)^n/(n-4)^10-28457/6*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-\ 71093411/6*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+40647417*n^16*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-317513132/3*n^15*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-4)^n/(n-4)^10+622286672/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n -4)^10-300413032*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+311062032*n^ 12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-217224576*n^11*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-4)^n/(n-4)^10+91369728*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/ (n-4)^10-17418240*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+322805/6*n^ 20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10-873573/2*n^19*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^10+15731093/6*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^10+1/6*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^10+n^16*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-19*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/( n-2)^6+149*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-625*n^13*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+1514*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n /(n-2)^6-2116*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6+1576*n^10*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-2)^n/(n-2)^6-480*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-2) ^n/(n-2)^6-2*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+50*n^13*(n-1)^n/(n-1) ^3/(n^n)^2*(n-3)^n/(n-3)^7-526*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+ 3038*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-10528*n^10*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^7+22400*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-28544*n ^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7+19872*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n -3)^n/(n-3)^7-5760*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^7-1/72*n^32*((n-1) ^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+5/8*n^31*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n -2)^n/(n-2)^8-115/9*n^30*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+5665/36*n ^29*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8-10437/8*n^28*((n-1)^n)^5/(n-1) ^17/(n^n)^6*(n-2)^n/(n-2)^8+554797/72*n^27*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n /(n-2)^8-1204105/36*n^26*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+650575/6* n^25*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8-2374817/9*n^24*((n-1)^n)^5/(n -1)^17/(n^n)^6*(n-2)^n/(n-2)^8+4318142/9*n^23*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2 )^n/(n-2)^8-1925140/3*n^22*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+5509240 /9*n^21*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8-1180720/3*n^20*((n-1)^n)^5 /(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+152576*n^19*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2 )^n/(n-2)^8-26880*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+3423293/9*n ^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-13536290/9*n^23*((n-1)^n)^4/(n -1)^14/(n^n)^5*(n-3)^n/(n-3)^9+40726868/9*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 3)^n/(n-3)^9-10362968*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9+ 161282224/9*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-206850400/9*n^19* ((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9+190464320/9*n^18*((n-1)^n)^4/(n-1) ^14/(n^n)^5*(n-3)^n/(n-3)^9-39613952/3*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^ n/(n-3)^9+4989952*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-860160*n^15 *((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-1/2*n^18*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^8+21*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-791/2*n^16*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+4416*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^8-65103/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+166833*n^13*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1218713/2*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^8+1597218*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-2979368*n^10*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+3852696*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^8-3273048*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+1636416*n^7*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-362880*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^8-2/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+34/3*n^11*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-2)^n/(n-2)^6-230/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+ 790/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-1448/3*n^8*(n-1)^n/(n-1)^3/(n ^n)^2*(n-2)^n/(n-2)^6+1336/3*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-160*n^ 6*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+387*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3* (n-3)^n/(n-3)^9-4126*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+56505/2*n ^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-130389*n^15*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-3)^n/(n-3)^9+413752*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^ 9-902664*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+1326792*n^12*((n-1)^n )^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-1250960*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -3)^n/(n-3)^9+680256*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-161280*n^ 9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+1/2*n^20*((n-1)^n)^2/(n-1)^6/(n^n )^3*(n-3)^n/(n-3)^9-21*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-n^18*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-143883*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4 )^n/(n-4)^10+873876*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-3734723*n^12* (n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+11306936*n^11*(n-1)^n/(n-1)^3/(n^n)^2* (n-4)^n/(n-4)^10-24046256*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+ 34996272*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10-33037776*n^8*(n-1)^n/(n-1 )^3/(n^n)^2*(n-4)^n/(n-4)^10+18124992*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4) ^10-4354560*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+52*n^17*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^10-1201*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+ 16272*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^10+1/(n^n)*n^12*(n-4)^n/(n-4)^ 8-33/(n^n)*n^11*(n-4)^n/(n-4)^8+468/(n^n)*n^10*(n-4)^n/(n-4)^8-3738/(n^n)*n^9*( n-4)^n/(n-4)^8+18501/(n^n)*n^8*(n-4)^n/(n-4)^8-58737/(n^n)*n^7*(n-4)^n/(n-4)^8+ 119342/(n^n)*n^6*(n-4)^n/(n-4)^8-149172/(n^n)*n^5*(n-4)^n/(n-4)^8+103608/(n^n)* n^4*(n-4)^n/(n-4)^8-30240/(n^n)*n^3*(n-4)^n/(n-4)^8-125/216/(n^n)*n^21*(n-7)^n/ (n-7)^15+1/216/(n^n)*n^22*(n-7)^n/(n-7)^15+605/18/(n^n)*n^20*(n-7)^n/(n-7)^15-\ 1205/(n^n)*n^19*(n-7)^n/(n-7)^15+1075661/36/(n^n)*n^18*(n-7)^n/(n-7)^15-\ 19589305/36/(n^n)*n^17*(n-7)^n/(n-7)^15-4395294215/54/(n^n)*n^15*(n-7)^n/(n-7)^ 15+49919082707/72/(n^n)*n^14*(n-7)^n/(n-7)^15-37595841855/8/(n^n)*n^13*(n-7)^n/ (n-7)^15+228881822845/9/(n^n)*n^12*(n-7)^n/(n-7)^15-1975862051995/18/(n^n)*n^11 *(n-7)^n/(n-7)^15+407324305/54/(n^n)*n^16*(n-7)^n/(n-7)^15+10150940432732/27/(n ^n)*n^10*(n-7)^n/(n-7)^15+3755771643616/(n^n)*n^6*(n-7)^n/(n-7)^15-\ 2911363144320/(n^n)*n^5*(n-7)^n/(n-7)^15+18935897763760/9/(n^n)*n^8*(n-7)^n/(n-\ 7)^15-27312466958230/27/(n^n)*n^9*(n-7)^n/(n-7)^15+1366247232000/(n^n)*n^4*(n-7 )^n/(n-7)^15-9900055942360/3/(n^n)*n^7*(n-7)^n/(n-7)^15-290594304000/(n^n)*n^3* (n-7)^n/(n-7)^15+2135*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-44457/4*n^12 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+38661*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^7-272720/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+427420/3*n^9 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-142156*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^7+81312*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-20160*n^6*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+40/3*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-\ 3)^9-694/3*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+2288*n^13*(n-1)^n/(n-1) ^3/(n^n)^2*(n-3)^n/(n-3)^9-14259*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+ 58408*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-477056/3*n^10*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-3)^n/(n-3)^9+851216/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-\ 951152/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+199872*n^7*(n-1)^n/(n-1)^3 /(n^n)^2*(n-3)^n/(n-3)^9-53760*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-1/3* n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+1/36/(n^n)*n^20*(n-6)^n/(n-6)^14-\ 35/12/(n^n)*n^19*(n-6)^n/(n-6)^14+141/(n^n)*n^18*(n-6)^n/(n-6)^14-4165/(n^n)*n^ 17*(n-6)^n/(n-6)^14-2464735/2/(n^n)*n^15*(n-6)^n/(n-6)^14+121893733/9/(n^n)*n^ 14*(n-6)^n/(n-6)^14-341916575/3/(n^n)*n^13*(n-6)^n/(n-6)^14+2971219537/4/(n^n)* n^12*(n-6)^n/(n-6)^14-15068478425/4/(n^n)*n^11*(n-6)^n/(n-6)^14+504797/6/(n^n)* n^16*(n-6)^n/(n-6)^14+44549638484/3/(n^n)*n^10*(n-6)^n/(n-6)^14+222964416144/(n ^n)*n^6*(n-6)^n/(n-6)^14-185648594880/(n^n)*n^5*(n-6)^n/(n-6)^14+942063475096/9 /(n^n)*n^8*(n-6)^n/(n-6)^14-45185047180/(n^n)*n^9*(n-6)^n/(n-6)^14+92647008000/ (n^n)*n^4*(n-6)^n/(n-6)^14-541256248820/3/(n^n)*n^7*(n-6)^n/(n-6)^14-\ 20756736000/(n^n)*n^3*(n-6)^n/(n-6)^14-768*n^18*((n-1)^n)^6/(n-1)^22/(n^n)^6+ 412608*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-80640*n^9*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+123557/18*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^9-251779/6*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1665505/ 9*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-5363596/9*n^15*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-16415/2/(n^n)*n^11*(n-4)^n/(n-4)^10+270067/4/(n^ n)*n^10*(n-4)^n/(n-4)^10-749455/2/(n^n)*n^9*(n-4)^n/(n-4)^10+17149601/12/(n^n)* n^8*(n-4)^n/(n-4)^10-22424675/6/(n^n)*n^7*(n-4)^n/(n-4)^10+6552091/(n^n)*n^6*(n -4)^n/(n-4)^10-7310310/(n^n)*n^5*(n-4)^n/(n-4)^10+4651416/(n^n)*n^4*(n-4)^n/(n-\ 4)^10-1270080/(n^n)*n^3*(n-4)^n/(n-4)^10+7/12/(n^n)*n^14*(n-4)^n/(n-4)^10-175/6 /(n^n)*n^13*(n-4)^n/(n-4)^10+2569/4/(n^n)*n^12*(n-4)^n/(n-4)^10+1/54*n^26*((n-1 )^n)^5/(n-1)^21/(n^n)^5-31/54*n^25*((n-1)^n)^5/(n-1)^21/(n^n)^5+433/54*n^24*((n -1)^n)^5/(n-1)^21/(n^n)^5-1199/18*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^5+1097/3*n^22 *((n-1)^n)^5/(n-1)^21/(n^n)^5-12536/9*n^21*((n-1)^n)^5/(n-1)^21/(n^n)^5+101440/ 27*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^5-193768/27*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^ 5+256912/27*n^18*((n-1)^n)^5/(n-1)^21/(n^n)^5-25024/3*n^17*((n-1)^n)^5/(n-1)^21 /(n^n)^5+4352*n^16*((n-1)^n)^5/(n-1)^21/(n^n)^5+7/216/(n^n)*n^18*(n-5)^n/(n-5)^ 13-203/72/(n^n)*n^17*(n-5)^n/(n-5)^13-191975/72/(n^n)*n^15*(n-5)^n/(n-5)^13+ 9267349/216/(n^n)*n^14*(n-5)^n/(n-5)^13-35436401/72/(n^n)*n^13*(n-5)^n/(n-5)^13 +897081185/216/(n^n)*n^12*(n-5)^n/(n-5)^13-1887810925/72/(n^n)*n^11*(n-5)^n/(n-\ 5)^13+24115/216/(n^n)*n^16*(n-5)^n/(n-5)^13+3366845482/27/(n^n)*n^10*(n-5)^n/(n -5)^13+3176376168/(n^n)*n^6*(n-5)^n/(n-5)^13-2894498656/(n^n)*n^5*(n-5)^n/(n-5) ^13+32104410520/27/(n^n)*n^8*(n-5)^n/(n-5)^13-4015219208/9/(n^n)*n^9*(n-5)^n/(n -5)^13+1559725440/(n^n)*n^4*(n-5)^n/(n-5)^13-20827283750/9/(n^n)*n^7*(n-5)^n/(n -5)^13-372556800/(n^n)*n^3*(n-5)^n/(n-5)^13+77/54*n^27*((n-1)^n)^3/(n-1)^9/(n^n )^4*(n-4)^n/(n-4)^12-2699/54*n^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-\ 1/54*n^28*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-7/216*n^24*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+77/72*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n /(n-2)^4-881/9*n^22*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+8894/3*n^21*(n-1)^ n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-554777/9*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^ n/(n-6)^14-288152696/27*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+ 2539074382/27*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-11648991211/18*n^16 *(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+21010917499/6*n^15*(n-1)^n/(n-1)^3/(n ^n)^2*(n-6)^n/(n-6)^14-134304712243/9*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6 )^14+8403799/9*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+449308837016/9*n^ 13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+421051618112*n^9*(n-1)^n/(n-1)^3/(n ^n)^2*(n-6)^n/(n-6)^14-309296131840*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^ 14+7015791393304/27*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-3510788648672 /27*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+137367168000*n^7*(n-1)^n/(n-1 )^3/(n^n)^2*(n-6)^n/(n-6)^14-3502811492144/9*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6) ^n/(n-6)^14-27675648000*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-1/72*n^24* (n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+89/72*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 6)^n/(n-6)^12-611/12*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+1/36*n^26*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-91/36*n^25*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-5)^n/(n-5)^13-1729/108*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+ 5173/36*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-61985/72*n^20*((n-1)^ n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+29001/8*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-2)^n/(n-2)^4+381458/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-\ 31192*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+13664*n^13*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-2688*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n /(n-2)^4-593705/54*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4+217637/9*n ^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^4-1032710/27*n^16*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-2)^n/(n-2)^4-1/18*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/( n-2)^6+35/18*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-277/9*n^22*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+2621/9*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^6-11003/6*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+ 48553/6*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-230794/9*n^18*((n-1)^ n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+528860/9*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^6-869000/9*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+ 997528/9*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-84256*n^14*((n-1)^n) ^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+38016*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-\ 2)^n/(n-2)^6-7680*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+7/72*n^22*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-287/72*n^21*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^7+1337/18*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7 -29981/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+150409/24*n^18*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-801997/24*n^17*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^7+4674397/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3 )^7-3348842/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+7073780/9*n^14* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-10870174/9*n^13*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^7+3933692/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^7-951216*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+185862479/54*n ^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+760251368/9*n^9*(n-1)^n/(n-1)^3/(n ^n)^2*(n-4)^n/(n-4)^12-223285264/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12 +891865304/27*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-112051907/9*n^12*(n -1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+38614720*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 4)^n/(n-4)^12-89/2*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+73/54*n^19*(n-\ 1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+47213/54*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 4)^n/(n-4)^12+1895113/18*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-37913249 /54*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-617705/54*n^16*(n-1)^n/(n-1)^ 3/(n^n)^2*(n-4)^n/(n-4)^12-1706523824/27*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^12-8870400*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-1/54*n^20*(n-1)^n/ (n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+261009100/9*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-4)^n/(n-4)^12+1095179264/3*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-\ 281207344*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+193903024*n^14*((n-\ 1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-782088373/9*n^15*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^12+129149760*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4 )^12-52019/36*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+2549/36*n^22*(( n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+237377/12*n^20*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^12+49283927/36*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n -4)^12-29076553/4*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-6920749/36* n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-2846900876/9*n^13*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-26611200*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4 )^n/(n-4)^12+1/36*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-17/6*n^21*( (n-1)^n)^5/(n-1)^17/(n^n)^5+61/3*n^20*((n-1)^n)^5/(n-1)^17/(n^n)^5-80*n^19*((n-\ 1)^n)^5/(n-1)^17/(n^n)^5+560/3*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^5-776/3*n^17*((n -1)^n)^5/(n-1)^17/(n^n)^5+592/3*n^16*((n-1)^n)^5/(n-1)^17/(n^n)^5+1/6/(n^n)*n^ 14*(n-5)^n/(n-5)^9-15/2/(n^n)*n^13*(n-5)^n/(n-5)^9+448/3/(n^n)*n^12*(n-5)^n/(n-\ 5)^9-1735/(n^n)*n^11*(n-5)^n/(n-5)^9+26111/2/(n^n)*n^10*(n-5)^n/(n-5)^9-133455/ 2/(n^n)*n^9*(n-5)^n/(n-5)^9+708109/3/(n^n)*n^8*(n-5)^n/(n-5)^9-576810/(n^n)*n^7 *(n-5)^n/(n-5)^9+2856308/3/(n^n)*n^6*(n-5)^n/(n-5)^9+28671863/216/(n^n)*n^10*(n -4)^n/(n-4)^12+62778424/9/(n^n)*n^6*(n-4)^n/(n-4)^12-21501998/3/(n^n)*n^5*(n-4) ^n/(n-4)^12+51909242/27/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/216/(n^n)*n^9*(n-4 )^n/(n-4)^12+4272440/(n^n)*n^4*(n-4)^n/(n-4)^12-71/216/(n^n)*n^15*(n-4)^n/(n-4) ^12+1/216/(n^n)*n^16*(n-4)^n/(n-4)^12+2261/216/(n^n)*n^14*(n-4)^n/(n-4)^12+ 59147/24/(n^n)*n^12*(n-4)^n/(n-4)^12-1540231/72/(n^n)*n^11*(n-4)^n/(n-4)^12-\ 42691/216/(n^n)*n^13*(n-4)^n/(n-4)^12-119147842/27/(n^n)*n^7*(n-4)^n/(n-4)^12-\ 1108800/(n^n)*n^3*(n-4)^n/(n-4)^12+1/6*n^22*((n-1)^n)^5/(n-1)^17/(n^n)^5-1/54*n ^24*(n-1)^n/(n-1)^3/(n^n)^2/(n-6)^14*(n-6)^n+85/6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/ 2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/ (n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2)^n/(n-2)^6/(n^n)*n^7-25/12*n^ 23*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+72394669880/9*n^11*(n-1)^n/(n-1 )^3/(n^n)^2*(n-5)^n/(n-5)^13-32111843296/9*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^13+5986298880*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-40138258864/3 *n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-1277337600*n^6*(n-1)^n/(n-1)^3/( n^n)^2*(n-5)^n/(n-5)^13+4203488/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^9-21370472/9*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+25358480/9*n^12 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-6644864/3*n^11*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-3)^n/(n-3)^9+1032448*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3) ^9-215040*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1/18*n^22*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-49/18*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^9+60*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-7087/9*n^19*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-1/12*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n /(n-2)^6+2*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-41/2*n^12*(n-1)^n/(n-1) ^5/(n^n)^2*(n-2)^n/(n-2)^6+117*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-\ 1623/4*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+873*n^9*(n-1)^n/(n-1)^5/(n^ n)^2*(n-2)^n/(n-2)^6-3401/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+808*n^7 *(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-240*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^ n/(n-2)^6-1007840/(n^n)*n^5*(n-5)^n/(n-5)^9+613056/(n^n)*n^4*(n-5)^n/(n-5)^9-\ 161280/(n^n)*n^3*(n-5)^n/(n-5)^9+1/12/(n^n)*n^18*(n-6)^n/(n-6)^12-20/3/(n^n)*n^ 17*(n-6)^n/(n-6)^12-16115/3/(n^n)*n^15*(n-6)^n/(n-6)^12+480881/6/(n^n)*n^14*(n-\ 6)^n/(n-6)^12-2566355/3/(n^n)*n^13*(n-6)^n/(n-6)^12+20226140/3/(n^n)*n^12*(n-6) ^n/(n-6)^12-119744845/3/(n^n)*n^11*(n-6)^n/(n-6)^12+730/3/(n^n)*n^16*(n-6)^n/(n -6)^12+2145379973/12/(n^n)*n^10*(n-6)^n/(n-6)^12+3749148772/(n^n)*n^6*(n-6)^n/( n-6)^12-3292333440/(n^n)*n^5*(n-6)^n/(n-6)^12+4597701380/3/(n^n)*n^8*(n-6)^n/(n -6)^12-1815255805/3/(n^n)*n^9*(n-6)^n/(n-6)^12+1717704000/(n^n)*n^4*(n-6)^n/(n-\ 6)^12-8542984540/3/(n^n)*n^7*(n-6)^n/(n-6)^12-399168000/(n^n)*n^3*(n-6)^n/(n-6) ^12+3797/36*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-96403/36*n^23*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-20811757/36*n^21*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-5)^n/(n-5)^13+64732733/12*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/( n-5)^13-1382427761/36*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+ 1899172132/9*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-8098501697/9*n^ 17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+1666787/36*n^22*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-5)^n/(n-5)^13+26786977984/9*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -5)^n/(n-5)^13+22151335488*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-\ 15590959872*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+132602058176/9*n^ 14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-68309178236/9*n^15*((n-1)^n)^2/ (n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+6624967680*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -5)^n/(n-5)^13-63916904272/3*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-\ 1277337600*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+107/54*n^23*(n-1)^n /(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+1/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/ (n-2)^6-26/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+98*n^16*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-632*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n /(n-2)^6+2559*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-6738*n^13*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+34556/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-2)^n/(n-2)^6-36904/3*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+7424*n ^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-1920*n^9*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-2)^n/(n-2)^6-7/12*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+56/3*n^ 15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-525/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^7-1/36*n^30*((n-1)^n)^6/(n-1)^24/(n^n)^6+11/12*n^29*((n-1)^n)^6/(n -1)^24/(n^n)^6-55/4*n^28*((n-1)^n)^6/(n-1)^24/(n^n)^6+4463/36*n^27*((n-1)^n)^6/ (n-1)^24/(n^n)^6-2245/3*n^26*((n-1)^n)^6/(n-1)^24/(n^n)^6+9559/3*n^25*((n-1)^n) ^6/(n-1)^24/(n^n)^6-88328/9*n^24*((n-1)^n)^6/(n-1)^24/(n^n)^6+22036*n^23*((n-1) ^n)^6/(n-1)^24/(n^n)^6-107408/3*n^22*((n-1)^n)^6/(n-1)^24/(n^n)^6+369520/9*n^21 *((n-1)^n)^6/(n-1)^24/(n^n)^6-31552*n^20*((n-1)^n)^6/(n-1)^24/(n^n)^6+14592*n^ 19*((n-1)^n)^6/(n-1)^24/(n^n)^6-32/(n^n)*n^15*(n-5)^n/(n-5)^11+1841/2/(n^n)*n^ 14*(n-5)^n/(n-5)^11-15742/(n^n)*n^13*(n-5)^n/(n-5)^11+356763/2/(n^n)*n^12*(n-5) ^n/(n-5)^11-1412796/(n^n)*n^11*(n-5)^n/(n-5)^11+1/2/(n^n)*n^16*(n-5)^n/(n-5)^11 +16073123/2/(n^n)*n^10*(n-5)^n/(n-5)^11+316353768/(n^n)*n^6*(n-5)^n/(n-5)^11-\ 307544832/(n^n)*n^5*(n-5)^n/(n-5)^11+99464288/(n^n)*n^8*(n-5)^n/(n-5)^11-\ 33200926/(n^n)*n^9*(n-5)^n/(n-5)^11+174718080/(n^n)*n^4*(n-5)^n/(n-5)^11-\ 213032072/(n^n)*n^7*(n-5)^n/(n-5)^11-43545600/(n^n)*n^3*(n-5)^n/(n-5)^11+1/12/( n^n)*n^12*(n-3)^n/(n-3)^9-19/6/(n^n)*n^11*(n-3)^n/(n-3)^9+103/2/(n^n)*n^10*(n-3 )^n/(n-3)^9-469/(n^n)*n^9*(n-3)^n/(n-3)^9+10507/4/(n^n)*n^8*(n-3)^n/(n-3)^9-\ 18697/2/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/3/(n^n)*n^6*(n-3)^n/(n-3)^9-86458/3/(n^ n)*n^5*(n-3)^n/(n-3)^9+21624/(n^n)*n^4*(n-3)^n/(n-3)^9-6720/(n^n)*n^3*(n-3)^n/( n-3)^9-1024*n^15*((n-1)^n)^5/(n-1)^21/(n^n)^5+1/216*n^30*((n-1)^n)^4/(n-1)^12/( n^n)^5*(n-3)^n/(n-3)^11-65/216*n^29*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^ 11+955/108*n^28*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11-5605/36*n^27*((n-\ 1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+396553/216*n^26*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-3)^n/(n-3)^11+1/18*n^30*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9 -53/18*n^29*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9+640/9*n^28*((n-1)^n)^4 /(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-3115/3*n^27*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3 )^n/(n-3)^9+184573/18*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-1306261 /18*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-1817/12*n^26*((n-1)^n)^3/ (n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10+31847/12*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -4)^n/(n-4)^10-126573/4*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10-\ 96517831/3*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10+280698817/3*n^19* ((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10-209552156*n^18*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-4)^n/(n-4)^10+1072906220/3*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4 )^n/(n-4)^10-455944048*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10+ 419674320*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10-262909440*n^14*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10+100078848*n^13*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-4)^n/(n-4)^10+1/72*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6 -7/72*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+413/72*n^19*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^10-11039/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 10-81049157/72*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+335555563/72*n^13* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-259020097/18*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^10+296627884/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-\ 165248636/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+65075178*n^9*(n-1)^n/ (n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-51302496*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^10+24109344*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-5080320*n^6*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+177121/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^10-635131/24*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+4844749/24 *n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+73/12*n^21*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^11-2443/12*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1/12* n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11+2579/2*n^21*(n-1)^n/(n-1)^5/(n^n) ^2*(n-6)^n/(n-6)^12-269957/12*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 24980774/9*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+374275907/18*n^17*(n-1 )^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-2935361011/24*n^16*(n-1)^n/(n-1)^5/(n^n)^2 *(n-6)^n/(n-6)^12+4551624033/8*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 25169233153/12*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+3444553/12*n^19*(n -1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+18331871288/3*n^13*(n-1)^n/(n-1)^5/(n^n) ^2*(n-6)^n/(n-6)^12+31906457328*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 21211469760*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+221783224162/9*n^11*(n -1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-125620341188/9*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-6)^n/(n-6)^12+8600544000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 98585224676/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-1596672000*n^6*(n-1 )^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-3315817/216*n^25*((n-1)^n)^4/(n-1)^12/(n^n )^5*(n-3)^n/(n-3)^11+2538470/27*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3) ^11-11597135/27*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+39861602/27* n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11-11459888/3*n^21*((n-1)^n)^4/ (n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+199379800/27*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^ 5*(n-3)^n/(n-3)^11-282977680/27*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3) ^11+285604160/27*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11-7169952*n^ 17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+8755840/3*n^16*((n-1)^n)^4/(n-\ 1)^12/(n^n)^5*(n-3)^n/(n-3)^11-537600*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n /(n-3)^11+869404382/9*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+ 6067961120/9*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-1383128896/3*n^ 14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+12674310616/27*n^17*((n-1)^n)^3 /(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-6618607924/27*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^ 4*(n-4)^n/(n-4)^12+189940480*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-\ 816169/54*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+19039/18*n^25*((n-1 )^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+8345011/54*n^23*((n-1)^n)^3/(n-1)^9/(n^ n)^4*(n-4)^n/(n-4)^12+360256831/54*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-\ 4)^12-783707177/27*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-63125425/ 54*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-17958679088/27*n^16*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-35481600*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^ 4*(n-4)^n/(n-4)^12+7/6/(n^n)*n^10*(n-3)^n/(n-3)^7-161/6/(n^n)*n^9*(n-3)^n/(n-3) ^7+1519/6/(n^n)*n^8*(n-3)^n/(n-3)^7-7595/6/(n^n)*n^7*(n-3)^n/(n-3)^7+10829/3/(n ^n)*n^6*(n-3)^n/(n-3)^7-17542/3/(n^n)*n^5*(n-3)^n/(n-3)^7+4956/(n^n)*n^4*(n-3)^ n/(n-3)^7-1680/(n^n)*n^3*(n-3)^n/(n-3)^7-1/2*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4* (n-2)^n/(n-2)^6+14*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-173*n^20*( (n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+1242*n^19*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-2)^n/(n-2)^6-11469/2*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+ 17784*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-37492*n^16*((n-1)^n)^3/ (n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+53008*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^ n/(n-2)^6-48040*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+25152*n^13*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-5760*n^12*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-2)^n/(n-2)^6+n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-34*n^19*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+514*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-3)^n/(n-3)^7-4560*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+26373*n^16 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-104382*n^15*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^7+288392*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-\ 555920*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+732176*n^12*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-626784*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^ n/(n-3)^7+313344*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-69120*n^9*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-1/216*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^ 4+29/216*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-125/72*n^20*((n-1)^n)^4/(n-1)^18/(n^ n)^4+949/72*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^4-1171/18*n^18*((n-1)^n)^4/(n-1)^18 /(n^n)^4+1963/9*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^4-13582/27*n^16*((n-1)^n)^4/(n-\ 1)^18/(n^n)^4+21278/27*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^4-2408/3*n^14*((n-1)^n)^ 4/(n-1)^18/(n^n)^4+480*n^13*((n-1)^n)^4/(n-1)^18/(n^n)^4-1/18*n^22*(n-1)^n/(n-1 )^3/(n^n)^2*(n-5)^n/(n-5)^13+89/18*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^ 13-3619/18*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-1488457/18*n^18*(n-1)^ n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+17834843/18*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 5)^n/(n-5)^13-158528513/18*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+ 1065370735/18*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-2732973529/9*n^14*( n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+89165/18*n^19*(n-1)^n/(n-1)^3/(n^n)^2*( n-5)^n/(n-5)^13+10731056336/9*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+ 15852430272*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-12597810432*n^8*(n-1)^ n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+311405996/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-5)^n/(n-5)^11-1148857622/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^ 11+87667/2*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+1105017840*n^16*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+5191665024*n^12*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-5)^n/(n-5)^11-3328525824*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n -5)^11+38442000320/9*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-\ 7437925928/3*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+1299548160*n^10* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-16588614304/3*n^13*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-5)^n/(n-5)^11-232243200*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n /(n-5)^11+1/18*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+863/6*n^24*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-18209/6*n^23*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-5)^n/(n-5)^11-25/6*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-\ 3072*n^18*((n-1)^n)^6/(n-1)^24/(n^n)^6-11/24*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^6+61/9*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/4*n^ 17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+8159/24*n^16*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-2)^n/(n-2)^6-10745/8*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n -2)^6+134089/36*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43447/6*n^13* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+86909/9*n^12*((n-1)^n)^2/(n-1)^10/ (n^n)^3*(n-2)^n/(n-2)^6-8396*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+ 4272*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-960*n^9*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-2)^n/(n-2)^6-1/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+ 47/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/36*n^16*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^9+6101/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 11017/8*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/24*n^13*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^9-554237/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^9+786662/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1579292/9*n^10*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+2184034/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^ n/(n-3)^9-657184/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+115616*n^7*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-26880*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^9 The, 4, 4, mixed moment of, X[2], and , X[4], is 34 n 7 33 n 7 32 n 7 n ((n - 1) ) 35 n ((n - 1) ) 187 n ((n - 1) ) ------------------ - ------------------ + ------------------- 27 n 7 27 n 7 27 n 7 36 (n - 1) (n ) 36 (n - 1) (n ) 12 (n - 1) (n ) 31 n 7 30 n 7 29 n 7 5453 n ((n - 1) ) 17933 n ((n - 1) ) 4683 n ((n - 1) ) - -------------------- + --------------------- - -------------------- 27 n 7 27 n 7 27 n 7 36 (n - 1) (n ) 18 (n - 1) (n ) (n - 1) (n ) 28 n 7 27 n 7 26 n 7 145682 n ((n - 1) ) 374980 n ((n - 1) ) 239624 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 27 n 7 27 n 7 27 n 7 9 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 25 n 7 24 n 7 1013968 n ((n - 1) ) 1023008 n ((n - 1) ) - ----------------------- + ----------------------- 27 n 7 27 n 7 9 (n - 1) (n ) 9 (n - 1) (n ) 23 n 7 22 n 7 77696 n ((n - 1) ) 32256 n ((n - 1) ) - --------------------- + --------------------- 27 n 7 27 n 7 (n - 1) (n ) (n - 1) (n ) 26 n 4 n 25 n 4 n 4 n ((n - 1) ) (n - 2) 40 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 14 n 5 6 14 n 5 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 536 n ((n - 1) ) (n - 2) 12704 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 21916 n ((n - 1) ) (n - 2) 78008 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 584480 n ((n - 1) ) (n - 2) 341312 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 14 n 5 6 14 n 5 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 410816 n ((n - 1) ) (n - 2) 969856 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 149504 n ((n - 1) ) (n - 2) 10240 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 14 n 5 6 14 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 2 n ((n - 1) ) (n - 3) 24 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 11 n 4 7 11 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 388 n ((n - 1) ) (n - 3) 11176 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 23662 n ((n - 1) ) (n - 3) 104752 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 994312 n ((n - 1) ) (n - 3) 755136 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------- 11 n 4 7 11 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1229344 n ((n - 1) ) (n - 3) 4182272 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 1044608 n ((n - 1) ) (n - 3) 463872 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 11 n 4 7 11 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 21 n 2 n 92160 n ((n - 1) ) (n - 3) 176 n ((n - 1) ) (n - 4) - ------------------------------ - ---------------------------- 11 n 4 7 8 n 3 8 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 3500 n ((n - 1) ) (n - 4) 41656 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 110356 n ((n - 1) ) (n - 4) 618496 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 7544180 n ((n - 1) ) (n - 4) 22527448 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 49390432 n ((n - 1) ) (n - 4) 78491456 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 29275840 n ((n - 1) ) (n - 4) 7273344 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 3231744 n ((n - 1) ) (n - 4) 645120 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 2 n 20 n n 4 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) + -------------------------- - ------------------------- 8 n 3 8 5 n 2 9 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 19 n n 18 n n 6 n (n - 1) (n - 5) 1327 n (n - 1) (n - 5) + ----------------------- - -------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 17 n n 16 n n 6556 n (n - 1) (n - 5) 196399 n (n - 1) (n - 5) + -------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 15 n n 14 n n 465842 n (n - 1) (n - 5) 7306001 n (n - 1) (n - 5) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 13 n n 12 n n 3166256 n (n - 1) (n - 5) 83290784 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 11 n n 10 n n 60477392 n (n - 1) (n - 5) 289690352 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 109466176 n (n - 1) (n - 5) 27719424 n (n - 1) (n - 5) + ------------------------------ - ----------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 7 n n 6 n n 12604416 n (n - 1) (n - 5) 2580480 n (n - 1) (n - 5) + ----------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 26 n 4 n 25 n 4 n 7 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + --------------------------- - -------------------------- 12 n 5 8 12 n 5 8 36 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 665 n ((n - 1) ) (n - 2) 9170 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 12 n 5 8 12 n 5 8 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 72541 n ((n - 1) ) (n - 2) 72961 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 5 8 12 n 5 8 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 609791 n ((n - 1) ) (n - 2) 392420 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 12 n 5 8 12 n 5 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 514780 n ((n - 1) ) (n - 2) 1311184 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 12 n 5 8 12 n 5 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 72016 n ((n - 1) ) (n - 2) 15680 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 5 8 12 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 68600 n ((n - 1) ) (n - 3) 511063 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 290724 n ((n - 1) ) (n - 3) 9443420 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 24222352 n ((n - 1) ) (n - 3) 14616560 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 54663616 n ((n - 1) ) (n - 3) 44550464 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 2367232 n ((n - 1) ) (n - 3) 501760 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 9 n 4 9 9 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 7 n ((n - 1) ) (n - 3) 308 n ((n - 1) ) (n - 3) - -------------------------- + ---------------------------- 9 n 4 9 9 n 4 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 22 n 3 n 22 n 2 n 2002 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 4) - ----------------------------- + -------------------------- 9 n 4 9 6 n 3 10 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 4) 21 n 2 n 17 n 2 n 63 n ((n - 1) ) (n - 4) 1355249 n ((n - 1) ) (n - 4) - --------------------------- - -------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 2 n 15 n 2 n 38377325 n ((n - 1) ) (n - 4) 21905779 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 6 n 3 10 6 n 3 10 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 54436816 n ((n - 1) ) (n - 4) 290810744 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 120202040 n ((n - 1) ) (n - 4) 98233968 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 47371968 n ((n - 1) ) (n - 4) 10160640 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 6 n 3 10 6 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 3045 n ((n - 1) ) (n - 4) 65359 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 6 n 3 10 6 n 3 10 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 18 n 2 n 18 n n 411663 n ((n - 1) ) (n - 4) 13783 n (n - 1) (n - 5) + ------------------------------- - --------------------------- 6 n 3 10 3 n 2 11 2 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 5) 17 n n 16 n n 82054 n (n - 1) (n - 5) 2938117 n (n - 1) (n - 5) + --------------------------- - ----------------------------- 3 n 2 11 3 n 2 11 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 15 n n 14 n n 8257942 n (n - 1) (n - 5) 152070149 n (n - 1) (n - 5) + ----------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 19 n n 13 n n 154 n (n - 1) (n - 5) 229945562 n (n - 1) (n - 5) + -------------------------- + ------------------------------- 3 n 2 11 3 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 4387844384 n (n - 1) (n - 5) 1228589824 n (n - 1) (n - 5) + ------------------------------- - ------------------------------- 3 n 2 11 3 n 2 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 1922483024 n (n - 1) (n - 5) 2322125960 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 3 n 2 11 3 n 2 11 3 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 7 n n 10 n n 611304960 n (n - 1) (n - 5) 10393850768 n (n - 1) (n - 5) + ------------------------------ - --------------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 6 n n 20 n n 135475200 n (n - 1) (n - 5) 7 n (n - 1) (n - 5) - ------------------------------ - -------------------------- 3 n 2 11 3 n 2 11 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 15 n 5 21 n 7 20 n 3 n 64 n ((n - 1) ) 6144 n ((n - 1) ) 2 n ((n - 1) ) (n - 2) - ------------------ - -------------------- - -------------------------- 17 n 5 27 n 7 9 n 4 6 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 14 n ((n - 1) ) (n - 2) 374 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 4 6 9 n 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 1846 n ((n - 1) ) (n - 2) 5528 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 10288 n ((n - 1) ) (n - 2) 3872 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 7264 n ((n - 1) ) (n - 2) 640 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 9 n 4 6 9 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n n ((n - 1) ) (n - 3) 27 n ((n - 1) ) (n - 3) + ------------------------ - --------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 313 n ((n - 1) ) (n - 3) 2045 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 8302 n ((n - 1) ) (n - 3) 21728 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 36672 n ((n - 1) ) (n - 3) 38480 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 22752 n ((n - 1) ) (n - 3) 5760 n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 6 n 3 7 6 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n n 15 n n 2 n (n - 1) (n - 4) 70 n (n - 1) (n - 4) - ------------------------- + ------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 356 n (n - 1) (n - 4) 3116 n (n - 1) (n - 4) - ------------------------- + -------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 17318 n (n - 1) (n - 4) 63826 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 473632 n (n - 1) (n - 4) 775712 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 3 n 2 8 3 n 2 8 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 7 n n 267968 n (n - 1) (n - 4) 158304 n (n - 1) (n - 4) - --------------------------- + --------------------------- 3 n 2 8 3 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 12 n 3 n 40320 n (n - 1) (n - 4) 69672960 n ((n - 1) ) (n - 4) - -------------------------- - --------------------------------- 3 n 2 8 11 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 3266329 n ((n - 1) ) (n - 4) 20972531 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 11 n 4 10 11 n 4 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 21 n 3 n 28 n 3 n 34185199 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------- 11 n 4 10 11 n 4 10 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 27 n 3 n 21 n 2 n 21 n ((n - 1) ) (n - 4) 5518846 n ((n - 1) ) (n - 5) + --------------------------- - -------------------------------- 11 n 4 10 8 n 3 11 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 5) 20 n 2 n 19 n 2 n 130666718 n ((n - 1) ) (n - 5) 88034994 n ((n - 1) ) (n - 5) + ---------------------------------- - --------------------------------- 8 n 3 11 8 n 3 11 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 20 n 4 n 21 n 4 n 642240 n ((n - 1) ) (n - 2) 990448 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 251136 n ((n - 1) ) (n - 2) 2735528 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 16 n 5 6 16 n 5 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 4 n 25 n 3 n 46080 n ((n - 1) ) (n - 2) 43 n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------- 16 n 5 6 13 n 4 7 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 282 n ((n - 1) ) (n - 3) 10094 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 26 n 3 n 22 n 3 n n ((n - 1) ) (n - 3) 81593 n ((n - 1) ) (n - 3) - -------------------------- - ------------------------------ 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 157545 n ((n - 1) ) (n - 3) 2022968 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 6498332 n ((n - 1) ) (n - 3) 5246272 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 28591696 n ((n - 1) ) (n - 3) 38333056 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 12252608 n ((n - 1) ) (n - 3) 7937280 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 3105792 n ((n - 1) ) (n - 3) 552960 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 5689 n ((n - 1) ) (n - 4) 166165 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 10 n 3 8 10 n 3 8 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 389403 n ((n - 1) ) (n - 4) 6126353 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 10 n 3 8 10 n 3 8 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 8133547 n ((n - 1) ) (n - 4) 37201591 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 2 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 28939744 n ((n - 1) ) (n - 4) 153744112 n ((n - 1) ) (n - 4) - --------------------------------- + ---------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 67589592 n ((n - 1) ) (n - 4) 64218192 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 41455296 n ((n - 1) ) (n - 4) 16236288 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 24 n 2 n 2903040 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 17 n ((n - 1) ) (n - 4) 1195 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 10 n 3 8 10 n 3 8 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 1002451 n ((n - 1) ) (n - 3) 4841684 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 5796404 n ((n - 1) ) (n - 3) 46675312 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 93182800 n ((n - 1) ) (n - 3) 45399616 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 141303104 n ((n - 1) ) (n - 3) 32774144 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 13679616 n ((n - 1) ) (n - 3) 2580480 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 11 n 4 9 11 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 3) 17 n ((n - 1) ) (n - 3) - -------------------------- + --------------------------- 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 1178 n ((n - 1) ) (n - 3) 16334 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 11 n 4 9 11 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 22 n 3 n 28 n 6 27 n 6 50635 n ((n - 1) ) (n - 3) n ((n - 1) ) 26 n ((n - 1) ) - ------------------------------ - ----------------- + ------------------ 11 n 4 9 22 n 6 22 n 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) 9 (n - 1) (n ) 26 n 6 25 n 6 24 n 6 301 n ((n - 1) ) 2044 n ((n - 1) ) 9020 n ((n - 1) ) - ------------------- + -------------------- - -------------------- 22 n 6 22 n 6 22 n 6 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 27040 n ((n - 1) ) 55792 n ((n - 1) ) 78272 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 22 n 6 22 n 6 22 n 6 9 (n - 1) (n ) 9 (n - 1) (n ) 9 (n - 1) (n ) 20 n 6 19 n 6 71488 n ((n - 1) ) 12800 n ((n - 1) ) - --------------------- + --------------------- 22 n 6 22 n 6 9 (n - 1) (n ) 3 (n - 1) (n ) 27 n 4 n 26 n 4 n 37 n ((n - 1) ) (n - 2) 104 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 16 n 5 6 16 n 5 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 3175 n ((n - 1) ) (n - 2) 43493 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 23 n 4 n 28 n 4 n 70559 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------- 16 n 5 6 16 n 5 6 2 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 376453 n ((n - 1) ) (n - 2) 2753360 n ((n - 1) ) (n - 2) + ------------------------------- + -------------------------------- 16 n 5 6 16 n 5 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 4 n 32 n 5 n 619584 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------- - -------------------------- 16 n 5 6 19 n 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 698 n ((n - 1) ) (n - 2) 7598 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 19 n 6 6 19 n 6 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 18731 n ((n - 1) ) (n - 2) 298663 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 19 n 6 6 19 n 6 6 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 26 n 5 n 31 n 5 n 1176260 n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) - -------------------------------- + --------------------------- 19 n 6 6 19 n 6 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 387412 n ((n - 1) ) (n - 2) 14730944 n ((n - 1) ) (n - 2) + ------------------------------- + --------------------------------- 19 n 6 6 19 n 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 5 n 23 n 5 n 993536 n ((n - 1) ) (n - 2) 13177936 n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------------- 19 n 6 6 19 n 6 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 24 n 5 n 19 n 5 n 7815232 n ((n - 1) ) (n - 2) 365568 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 19 n 6 6 19 n 6 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 18 n 5 n 1827648 n ((n - 1) ) (n - 2) 61440 n ((n - 1) ) (n - 2) - -------------------------------- - ------------------------------ 19 n 6 6 19 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 466 n ((n - 1) ) (n - 3) 5893 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 16 n 5 7 16 n 5 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 26 n 4 n 30 n 4 n 33927 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ + -------------------------- 16 n 5 7 16 n 5 7 2 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 29 n 4 n 25 n 4 n 15 n ((n - 1) ) (n - 3) 635821 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 16 n 5 7 16 n 5 7 2 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 1484119 n ((n - 1) ) (n - 3) 1757378 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 16 n 5 7 16 n 5 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 14367740 n ((n - 1) ) (n - 3) 30034664 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 16 n 5 7 16 n 5 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 15919408 n ((n - 1) ) (n - 3) 56711968 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 16 n 5 7 16 n 5 7 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 16221248 n ((n - 1) ) (n - 3) 9490176 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 16 n 5 7 16 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 3382272 n ((n - 1) ) (n - 3) 552960 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 16 n 5 7 16 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 200299 n ((n - 1) ) (n - 4) 1500539 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 22 n 3 n 28 n 3 n 8462771 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - -------------------------------- - -------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 36653347 n ((n - 1) ) (n - 4) 123204464 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 322444828 n ((n - 1) ) (n - 4) 654765152 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 1020514000 n ((n - 1) ) (n - 4) 132931584 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 113261120 n ((n - 1) ) (n - 4) 66097920 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 23583744 n ((n - 1) ) (n - 4) 3870720 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 53 n ((n - 1) ) (n - 4) 1297 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 25 n 3 n 23 n 2 n 19457 n ((n - 1) ) (n - 4) 3671 n ((n - 1) ) (n - 5) + ------------------------------ - ----------------------------- 13 n 4 8 10 n 3 9 9 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 22 n 2 n 21 n 2 n 136403 n ((n - 1) ) (n - 5) 412037 n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 12 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 5) 7 n ((n - 1) ) (n - 5) + --------------------------- - -------------------------- 10 n 3 9 10 n 3 9 36 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 24 n 2 n 20 n 2 n 613 n ((n - 1) ) (n - 5) 25462141 n ((n - 1) ) (n - 5) + ---------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 12 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 19 n 2 n 18 n 2 n 15033285 n ((n - 1) ) (n - 5) 93875695 n ((n - 1) ) (n - 5) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 4 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 17 n 2 n 16 n 2 n 51313810 n ((n - 1) ) (n - 5) 397670968 n ((n - 1) ) (n - 5) - --------------------------------- + ---------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n 2 n 14 n 2 n 268106308 n ((n - 1) ) (n - 5) 3772845736 n ((n - 1) ) (n - 5) - ---------------------------------- + ----------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 13 n 2 n 12 n 2 n 495823424 n ((n - 1) ) (n - 5) 428113664 n ((n - 1) ) (n - 5) - ---------------------------------- + ---------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n 2 n 10 n 2 n 254051328 n ((n - 1) ) (n - 5) 92399616 n ((n - 1) ) (n - 5) - ---------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n 2 n 18 n n 15482880 n ((n - 1) ) (n - 5) 689521 n (n - 1) (n - 5) - -------------------------------- - ---------------------------- 10 n 3 9 5 n 2 11 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 17 n n 16 n n 6899227 n (n - 1) (n - 5) 51534905 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n n 14 n n 293087663 n (n - 1) (n - 5) 1282260650 n (n - 1) (n - 5) + ------------------------------- - -------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 19 n n 13 n n 49741 n (n - 1) (n - 5) 4328624432 n (n - 1) (n - 5) + --------------------------- + -------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 11469776256 n (n - 1) (n - 5) 8210437632 n (n - 1) (n - 5) + -------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 22161411056 n (n - 1) (n - 5) 11233072256 n (n - 1) (n - 5) + --------------------------------- - --------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 3550279680 n (n - 1) (n - 5) 10853726176 n (n - 1) (n - 5) + ------------------------------- - --------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 23 n 2 n 696729600 n (n - 1) (n - 5) 122 n ((n - 1) ) (n - 4) - ------------------------------ - ---------------------------- 5 n 2 11 8 n 3 10 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 1130 n ((n - 1) ) (n - 4) 56914 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 142186822 n ((n - 1) ) (n - 4) 162589668 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 8 n 3 10 8 n 3 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 2 n 1270052528 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 10 3 (n - 1) (n ) (n - 4) 14 n 2 n 2489146688 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 10 3 (n - 1) (n ) (n - 4) 13 n 2 n 1201652128 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 10 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1244248128 n ((n - 1) ) (n - 4) 868898304 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 365478912 n ((n - 1) ) (n - 4) 69672960 n ((n - 1) ) (n - 4) + ---------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 645610 n ((n - 1) ) (n - 4) 1747146 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 24 n 2 n 31462186 n ((n - 1) ) (n - 4) 2 n ((n - 1) ) (n - 4) + --------------------------------- + -------------------------- 8 n 3 10 8 n 3 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 28 n n 27 n n n (n - 1) (n - 7) 67 n (n - 1) (n - 7) - ---------------------------- + ---------------------------- 5 n 2 15 5 n 2 15 324 (n - 1) (n ) (n - 7) 162 (n - 1) (n ) (n - 7) 26 n n 23 n n 8411 n (n - 1) (n - 7) 11021 n (n - 1) (n - 6) - ---------------------------- + --------------------------- 5 n 2 15 5 n 2 14 324 (n - 1) (n ) (n - 7) 3 (n - 1) (n ) (n - 6) 22 n n 21 n n 752123 n (n - 1) (n - 6) 4202474 n (n - 1) (n - 6) - ---------------------------- + ----------------------------- 5 n 2 14 5 n 2 14 9 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 20 n n 18 n n 484604447 n (n - 1) (n - 6) 77409679685 n (n - 1) (n - 6) - ------------------------------- - --------------------------------- 5 n 2 14 5 n 2 14 27 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 17 n n 16 n n 9160460335 n (n - 1) (n - 6) 849626586497 n (n - 1) (n - 6) + -------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 15 n n 589212779233 n (n - 1) (n - 6) + ---------------------------------- 5 n 2 14 3 (n - 1) (n ) (n - 6) 14 n n 19 n n 17781243866756 n (n - 1) (n - 6) 1619560006 n (n - 1) (n - 6) - ------------------------------------ + -------------------------------- 5 n 2 14 5 n 2 14 27 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 13 n n 15922143355528 n (n - 1) (n - 6) + ------------------------------------ 5 n 2 14 9 (n - 1) (n ) (n - 6) 9 n n 8 n n 7355059508224 n (n - 1) (n - 6) 4700799406080 n (n - 1) (n - 6) + ---------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 18790770193744 n (n - 1) (n - 6) + ------------------------------------ 5 n 2 14 3 (n - 1) (n ) (n - 6) 12 n n 101748438013624 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 14 27 (n - 1) (n ) (n - 6) 7 n n 1842135552000 n (n - 1) (n - 6) + ---------------------------------- 5 n 2 14 (n - 1) (n ) (n - 6) 10 n n 6 n n 23781218344448 n (n - 1) (n - 6) 332107776000 n (n - 1) (n - 6) - ------------------------------------ - --------------------------------- 5 n 2 14 5 n 2 14 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 16 n 2 n 15 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + ------------------------ - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 149 n ((n - 1) ) (n - 2) 625 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 1514 n ((n - 1) ) (n - 2) 2116 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 1576 n ((n - 1) ) (n - 2) 480 n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 6 n 3 6 6 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n n 13 n n 2 n (n - 1) (n - 3) 50 n (n - 1) (n - 3) - ----------------------- + ------------------------ 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 526 n (n - 1) (n - 3) 3038 n (n - 1) (n - 3) - ------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 10528 n (n - 1) (n - 3) 22400 n (n - 1) (n - 3) - --------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 28544 n (n - 1) (n - 3) 19872 n (n - 1) (n - 3) - -------------------------- + -------------------------- 3 n 2 7 3 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 7 n n 5760 n (n - 1) (n - 3) 495705434112000 n (n - 1) (n - 7) - ------------------------- + ------------------------------------ 3 n 2 7 3 n 2 17 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 7) 10 n n 1877128812096128 n (n - 1) (n - 7) - -------------------------------------- 3 n 2 17 (n - 1) (n ) (n - 7) 6 n n 27 n 2 n 92990177280000 n (n - 1) (n - 7) 41 n ((n - 1) ) (n - 5) - ----------------------------------- - ---------------------------- 3 n 2 17 10 n 3 11 (n - 1) (n ) (n - 7) 18 (n - 1) (n ) (n - 5) 26 n 2 n 25 n 2 n 521 n ((n - 1) ) (n - 5) 12275 n ((n - 1) ) (n - 5) + ---------------------------- - ------------------------------ 10 n 3 11 10 n 3 11 6 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 100205 n ((n - 1) ) (n - 5) 2409469 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 10 n 3 11 10 n 3 11 3 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 26 n 2 n 25 n 2 n 7 n ((n - 1) ) (n - 4) 119 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 10 n 3 10 10 n 3 10 216 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 7469 n ((n - 1) ) (n - 4) 143689 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------- 10 n 3 10 10 n 3 10 108 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 474551 n ((n - 1) ) (n - 4) 18276433 n ((n - 1) ) (n - 4) + ------------------------------- - --------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 1435 n ((n - 1) ) (n - 3) 11161 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 235735 n ((n - 1) ) (n - 3) 447581 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 216 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 24 n n 25 n n 2882621 n (n - 1) (n - 7) 269045 n (n - 1) (n - 7) - ----------------------------- + ---------------------------- 3 n 2 17 3 n 2 17 54 (n - 1) (n ) (n - 7) 162 (n - 1) (n ) (n - 7) 22 n n 23 n n 3791005871 n (n - 1) (n - 7) 34383839 n (n - 1) (n - 7) - -------------------------------- + ------------------------------ 3 n 2 17 3 n 2 17 162 (n - 1) (n ) (n - 7) 27 (n - 1) (n ) (n - 7) 26 n n 27 n n 11687 n (n - 1) (n - 7) 79 n (n - 1) (n - 7) - ---------------------------- + ---------------------------- 3 n 2 17 3 n 2 17 324 (n - 1) (n ) (n - 7) 162 (n - 1) (n ) (n - 7) 21 n n 20 n n 27485427365 n (n - 1) (n - 7) 1278401043341 n (n - 1) (n - 7) + --------------------------------- - ----------------------------------- 3 n 2 17 3 n 2 17 81 (n - 1) (n ) (n - 7) 324 (n - 1) (n ) (n - 7) 19 n n 6024327497699 n (n - 1) (n - 7) + ----------------------------------- 3 n 2 17 162 (n - 1) (n ) (n - 7) 18 n n 30885570888809 n (n - 1) (n - 7) - ------------------------------------ 3 n 2 17 108 (n - 1) (n ) (n - 7) 17 n n 97237453650155 n (n - 1) (n - 7) + ------------------------------------ 3 n 2 17 54 (n - 1) (n ) (n - 7) 16 n n 752456614618309 n (n - 1) (n - 7) - ------------------------------------- 3 n 2 17 81 (n - 1) (n ) (n - 7) 15 n n 3173897671377842 n (n - 1) (n - 7) + -------------------------------------- 3 n 2 17 81 (n - 1) (n ) (n - 7) 14 n n 10892647582068668 n (n - 1) (n - 7) - --------------------------------------- 3 n 2 17 81 (n - 1) (n ) (n - 7) 13 n n 30169141622380600 n (n - 1) (n - 7) + --------------------------------------- 3 n 2 17 81 (n - 1) (n ) (n - 7) 9 n n 1818252540986880 n (n - 1) (n - 7) + ------------------------------------- 3 n 2 17 (n - 1) (n ) (n - 7) 8 n n 1213100390246400 n (n - 1) (n - 7) - ------------------------------------- 3 n 2 17 (n - 1) (n ) (n - 7) 11 n n 4266744012630176 n (n - 1) (n - 7) + -------------------------------------- 3 n 2 17 3 (n - 1) (n ) (n - 7) 12 n n 30 n 3 n 822410616374704 n (n - 1) (n - 7) n ((n - 1) ) (n - 4) - ------------------------------------- - ---------------------------- 3 n 2 17 11 n 4 12 (n - 1) (n ) (n - 7) 54 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 14 n ((n - 1) ) (n - 4) 1625 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 11 n 4 12 11 n 4 12 9 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 38467 n ((n - 1) ) (n - 4) 624188 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 11 n 4 12 11 n 4 12 27 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 32 n 3 n 31 n 3 n n ((n - 1) ) (n - 5) 50 n ((n - 1) ) (n - 5) - ---------------------------- + ---------------------------- 11 n 4 13 11 n 4 13 54 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 30 n 3 n 29 n 3 n 2321 n ((n - 1) ) (n - 5) 7387 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 11 n 4 13 11 n 4 13 27 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 28 n 3 n 27 n 3 n 439220 n ((n - 1) ) (n - 5) 6401741 n ((n - 1) ) (n - 5) - ------------------------------- + -------------------------------- 11 n 4 13 11 n 4 13 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 26 n 3 n 213577073 n ((n - 1) ) (n - 5) - ---------------------------------- 11 n 4 13 27 (n - 1) (n ) (n - 5) 24 n 3 n 25587173719 n ((n - 1) ) (n - 5) - ------------------------------------ 11 n 4 13 54 (n - 1) (n ) (n - 5) 23 n 3 n 7853782339 n ((n - 1) ) (n - 5) + ----------------------------------- 11 n 4 13 3 (n - 1) (n ) (n - 5) 22 n 3 n 104897690170 n ((n - 1) ) (n - 5) - ------------------------------------- 11 n 4 13 9 (n - 1) (n ) (n - 5) 21 n 3 n 377022103588 n ((n - 1) ) (n - 5) + ------------------------------------- 11 n 4 13 9 (n - 1) (n ) (n - 5) 20 n 3 n 3276420261224 n ((n - 1) ) (n - 5) - -------------------------------------- 11 n 4 13 27 (n - 1) (n ) (n - 5) 25 n 3 n 1855660061 n ((n - 1) ) (n - 5) + ----------------------------------- 11 n 4 13 27 (n - 1) (n ) (n - 5) 19 n 3 n 7608190684304 n ((n - 1) ) (n - 5) + -------------------------------------- 11 n 4 13 27 (n - 1) (n ) (n - 5) 15 n 3 n 665266036736 n ((n - 1) ) (n - 5) + ------------------------------------- 11 n 4 13 (n - 1) (n ) (n - 5) 14 n 3 n 371952156672 n ((n - 1) ) (n - 5) - ------------------------------------- 11 n 4 13 (n - 1) (n ) (n - 5) 17 n 3 n 748336647616 n ((n - 1) ) (n - 5) + ------------------------------------- 11 n 4 13 (n - 1) (n ) (n - 5) 18 n 3 n 14024384449952 n ((n - 1) ) (n - 5) - --------------------------------------- 11 n 4 13 27 (n - 1) (n ) (n - 5) 13 n 3 n 28 n n 128140001280 n ((n - 1) ) (n - 5) n (n - 1) (n - 7) + ------------------------------------- - ---------------------------- 11 n 4 13 3 n 2 17 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 7) 16 n 2 n 41407420108 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 12 81 (n - 1) (n ) (n - 4) 12 n 2 n 2879252544 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 5740196864 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 12 3 (n - 1) (n ) (n - 4) 14 n 2 n 176621482064 n ((n - 1) ) (n - 4) + ------------------------------------- 8 n 3 12 81 (n - 1) (n ) (n - 4) 15 n 2 n 97791407456 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 12 81 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 771589120 n ((n - 1) ) (n - 4) 12529894 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 8 n 3 12 8 n 3 12 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 1106852 n ((n - 1) ) (n - 4) 35424914 n ((n - 1) ) (n - 4) + -------------------------------- + --------------------------------- 8 n 3 12 8 n 3 12 81 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 18 n 2 n 3467266363 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 81 (n - 1) (n ) (n - 4) 17 n 2 n 13576876016 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 12 81 (n - 1) (n ) (n - 4) 19 n 2 n 689725454 n ((n - 1) ) (n - 4) - ---------------------------------- 8 n 3 12 81 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 79589921536 n ((n - 1) ) (n - 4) 141926400 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 8 n 3 12 8 n 3 12 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 28 n 2 n 27 n 2 n 6275 n ((n - 1) ) (n - 6) 210472 n ((n - 1) ) (n - 6) + ----------------------------- - ------------------------------- 8 n 3 14 8 n 3 14 81 (n - 1) (n ) (n - 6) 81 (n - 1) (n ) (n - 6) 30 n 2 n 29 n 2 n n ((n - 1) ) (n - 6) 116 n ((n - 1) ) (n - 6) + --------------------------- - ---------------------------- 8 n 3 14 8 n 3 14 81 (n - 1) (n ) (n - 6) 81 (n - 1) (n ) (n - 6) 16 n 3 n 2468427126784 n ((n - 1) ) (n - 5) - -------------------------------------- 11 n 4 13 3 (n - 1) (n ) (n - 5) 12 n 3 n 32 n 5 n 20437401600 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 2) - ------------------------------------ - --------------------------- 11 n 4 13 17 n 6 8 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 2) 31 n 5 n 30 n 5 n 5 n ((n - 1) ) (n - 2) 460 n ((n - 1) ) (n - 2) + -------------------------- - ---------------------------- 17 n 6 8 17 n 6 8 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 5665 n ((n - 1) ) (n - 2) 10437 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 17 n 6 8 17 n 6 8 9 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 554797 n ((n - 1) ) (n - 2) 1204105 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 17 n 6 8 17 n 6 8 18 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 1301150 n ((n - 1) ) (n - 2) 9499268 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 6 8 17 n 6 8 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 17272568 n ((n - 1) ) (n - 2) 7700560 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 17 n 6 8 17 n 6 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 22036960 n ((n - 1) ) (n - 2) 4722880 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 17 n 6 8 17 n 6 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 610304 n ((n - 1) ) (n - 2) 107520 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 17 n 6 8 17 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 13693172 n ((n - 1) ) (n - 3) 54145160 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 162907472 n ((n - 1) ) (n - 3) 41451872 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 645128896 n ((n - 1) ) (n - 3) 827401600 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 761857280 n ((n - 1) ) (n - 3) 158455808 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 19959808 n ((n - 1) ) (n - 3) 3440640 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 14 n 5 9 14 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n n 17 n n 2 n (n - 1) (n - 4) 28 n (n - 1) (n - 4) - ------------------------- + ------------------------ 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 1582 n (n - 1) (n - 4) 5888 n (n - 1) (n - 4) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n n 13 n n 43402 n (n - 1) (n - 4) 222444 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 2437426 n (n - 1) (n - 4) 2129624 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 9 n n 11917472 n (n - 1) (n - 4) 5136928 n (n - 1) (n - 4) - ------------------------------ + ---------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 4364064 n (n - 1) (n - 4) 2181888 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 9 n 2 n 483840 n (n - 1) (n - 4) 20437401600 n ((n - 1) ) (n - 5) - --------------------------- - ----------------------------------- 5 n 2 8 8 n 3 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 5) 12 n n 11 n n 2 n (n - 1) (n - 2) 34 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 230 n (n - 1) (n - 2) 790 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 8 n n 7 n n 1448 n (n - 1) (n - 2) 1336 n (n - 1) (n - 2) - ------------------------- + ------------------------- 3 n 2 6 3 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 6 n n 18 n 2 n 160 n (n - 1) (n - 2) 903 n ((n - 1) ) (n - 3) - ------------------------ + ---------------------------- 3 n 2 6 6 n 3 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 28882 n ((n - 1) ) (n - 3) 131845 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 6 n 3 9 6 n 3 9 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 304241 n ((n - 1) ) (n - 3) 2896264 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 2106216 n ((n - 1) ) (n - 3) 3095848 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 8756720 n ((n - 1) ) (n - 3) 1587264 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 6 n 3 9 6 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n 2 n 376320 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------- 6 n 3 9 6 n 3 9 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 19 n 2 n 18 n n 49 n ((n - 1) ) (n - 3) 7 n (n - 1) (n - 4) - --------------------------- - -------------------------- 6 n 3 9 3 n 2 10 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 4) 14 n n 13 n n 335727 n (n - 1) (n - 4) 2039044 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 11 n n 26143061 n (n - 1) (n - 4) 79148552 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 10 n n 9 n n 168323792 n (n - 1) (n - 4) 81657968 n (n - 1) (n - 4) - ------------------------------- + ----------------------------- 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 77088144 n (n - 1) (n - 4) 42291648 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 10160640 n (n - 1) (n - 4) 364 n (n - 1) (n - 4) - ----------------------------- + -------------------------- 3 n 2 10 3 n 2 10 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n n 15 n n 8407 n (n - 1) (n - 4) 37968 n (n - 1) (n - 4) - -------------------------- + --------------------------- 3 n 2 10 3 n 2 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 27 n 4 n 26 n 4 n 1489720 n ((n - 1) ) (n - 3) 2880119 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 25 n 4 n 24 n 4 n 38951786 n ((n - 1) ) (n - 3) 138164212 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 44 n ((n - 1) ) (n - 2) 895 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 18 n 5 6 18 n 5 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 11162 n ((n - 1) ) (n - 2) 95431 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 18 n 5 6 18 n 5 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 592328 n ((n - 1) ) (n - 2) 2756561 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 18 n 5 6 18 n 5 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 860827504 n ((n - 1) ) (n - 3) 1502871008 n ((n - 1) ) (n - 3) + ---------------------------------- - ----------------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 2037492416 n ((n - 1) ) (n - 3) 233257856 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 176312320 n ((n - 1) ) (n - 3) 30691328 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 9879552 n ((n - 1) ) (n - 3) 1474560 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 2053120 n ((n - 1) ) (n - 2) 741376 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 18 n 5 6 18 n 5 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 107917216 n ((n - 1) ) (n - 2) 31203328 n ((n - 1) ) (n - 2) - ---------------------------------- + --------------------------------- 18 n 5 6 18 n 5 6 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 40960 n ((n - 1) ) (n - 2) 90045392 n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------------- 18 n 5 6 18 n 5 6 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 270786040 n ((n - 1) ) (n - 4) 81302454 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 15 n 4 8 15 n 4 8 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 1578868000 n ((n - 1) ) (n - 4) + ----------------------------------- 15 n 4 8 9 (n - 1) (n ) (n - 4) 18 n 3 n 8098582040 n ((n - 1) ) (n - 4) - ----------------------------------- 15 n 4 8 27 (n - 1) (n ) (n - 4) 17 n 3 n 3606701312 n ((n - 1) ) (n - 4) + ----------------------------------- 15 n 4 8 9 (n - 1) (n ) (n - 4) 16 n 3 n 15 n 3 n 1227052384 n ((n - 1) ) (n - 4) 307567104 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 15 n 4 8 15 n 4 8 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 160355328 n ((n - 1) ) (n - 4) 51683328 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 23 n 3 n 7741440 n ((n - 1) ) (n - 4) 920455397 n ((n - 1) ) (n - 5) - -------------------------------- + ---------------------------------- 15 n 4 8 15 n 4 9 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 5) 22 n 3 n 3274127003 n ((n - 1) ) (n - 5) - ----------------------------------- 15 n 4 9 27 (n - 1) (n ) (n - 5) 21 n 3 n 3170781052 n ((n - 1) ) (n - 5) + ----------------------------------- 15 n 4 9 9 (n - 1) (n ) (n - 5) 20 n 3 n 67591575148 n ((n - 1) ) (n - 5) - ------------------------------------ 15 n 4 9 81 (n - 1) (n ) (n - 5) 19 n 3 n 14420800912 n ((n - 1) ) (n - 5) + ------------------------------------ 15 n 4 9 9 (n - 1) (n ) (n - 5) 18 n 3 n 200019671984 n ((n - 1) ) (n - 5) - ------------------------------------- 15 n 4 9 81 (n - 1) (n ) (n - 5) 17 n 3 n 81178215872 n ((n - 1) ) (n - 5) + ------------------------------------ 15 n 4 9 27 (n - 1) (n ) (n - 5) 16 n 3 n 25409579008 n ((n - 1) ) (n - 5) - ------------------------------------ 15 n 4 9 9 (n - 1) (n ) (n - 5) 15 n 3 n 14 n 3 n 1969682432 n ((n - 1) ) (n - 5) 959885312 n ((n - 1) ) (n - 5) + ----------------------------------- - ---------------------------------- 15 n 4 9 15 n 4 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 13 n 3 n 12 n 3 n 291127296 n ((n - 1) ) (n - 5) 41287680 n ((n - 1) ) (n - 5) + ---------------------------------- - --------------------------------- 15 n 4 9 15 n 4 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 32 n 3 n 31 n 3 n n ((n - 1) ) (n - 5) 2 n ((n - 1) ) (n - 5) - ---------------------------- + -------------------------- 15 n 4 9 15 n 4 9 324 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 30 n 3 n 29 n 3 n 608 n ((n - 1) ) (n - 5) 4271 n ((n - 1) ) (n - 5) - ---------------------------- + ----------------------------- 15 n 4 9 15 n 4 9 81 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 28 n 3 n 27 n 3 n 125981 n ((n - 1) ) (n - 5) 230399 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 15 n 4 9 15 n 4 9 54 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 26 n 3 n 25 n 3 n 17567377 n ((n - 1) ) (n - 5) 1452767 n ((n - 1) ) (n - 5) - --------------------------------- + -------------------------------- 15 n 4 9 15 n 4 9 81 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 3 n 30 n 3 n 2531965913 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) - ----------------------------------- - --------------------------- 15 n 4 9 15 n 4 8 324 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 10 n ((n - 1) ) (n - 4) 280 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 15 n 4 8 15 n 4 8 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 4862 n ((n - 1) ) (n - 4) 19559 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 15 n 4 8 15 n 4 8 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n 522686 n ((n - 1) ) (n - 4) 10685066 n ((n - 1) ) (n - 4) + ------------------------------- - --------------------------------- 15 n 4 8 15 n 4 8 9 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 23 n 3 n 22 n 3 n 6327734 n ((n - 1) ) (n - 4) 160443715 n ((n - 1) ) (n - 4) + -------------------------------- - ---------------------------------- 15 n 4 8 15 n 4 8 3 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 20 n 3 n 20 n 3 n 149629823 n ((n - 1) ) (n - 3) 1877309 n ((n - 1) ) (n - 2) - ---------------------------------- - -------------------------------- 15 n 4 7 15 n 4 6 81 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 503062 n ((n - 1) ) (n - 2) 3670274 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 15 n 4 6 15 n 4 6 27 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 28 n 3 n 27 n 3 n 7 n ((n - 1) ) (n - 3) 175 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 15 n 4 7 15 n 4 7 324 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 8113 n ((n - 1) ) (n - 3) 28931 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 324 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 1136821 n ((n - 1) ) (n - 3) 4077199 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 15 n 4 7 15 n 4 7 324 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 44173703 n ((n - 1) ) (n - 3) 46078774 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 7 15 n 4 7 324 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 15 n 4 6 15 n 4 6 324 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 811 n ((n - 1) ) (n - 2) 265 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 15 n 4 6 15 n 4 6 324 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 76351 n ((n - 1) ) (n - 2) 73271 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 15 n 4 6 15 n 4 6 324 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 379300936 n ((n - 1) ) (n - 3) 747846260 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 1134331744 n ((n - 1) ) (n - 3) 48035120 n ((n - 1) ) (n - 3) + ----------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 119990528 n ((n - 1) ) (n - 3) 22855168 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 2666496 n ((n - 1) ) (n - 3) 430080 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 15 n 4 7 15 n 4 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 214144 n ((n - 1) ) (n - 2) 84992 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 15 n 4 6 15 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 9084500 n ((n - 1) ) (n - 2) 2936768 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 15 n 4 6 15 n 4 6 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 5120 n ((n - 1) ) (n - 2) 745936 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------- 15 n 4 6 15 n 4 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 28 n 6 n 27 n 6 n 129804640 n ((n - 1) ) (n - 2) 226755320 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 22 n 7 8 22 n 7 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 26 n 6 n 21 n 3 n 102307216 n ((n - 1) ) (n - 2) 31655206 n ((n - 1) ) (n - 3) + ---------------------------------- + --------------------------------- 22 n 7 8 13 n 4 9 9 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 113250002 n ((n - 1) ) (n - 3) 314290264 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 9 13 n 4 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 674291096 n ((n - 1) ) (n - 3) 1106444320 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 13 n 4 9 13 n 4 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1360915168 n ((n - 1) ) (n - 3) 404155520 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 13 n 4 9 13 n 4 9 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 27312640 n ((n - 1) ) (n - 3) 10123264 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 3 n 1720320 n ((n - 1) ) (n - 3) 7503524318 n ((n - 1) ) (n - 4) - -------------------------------- - ----------------------------------- 13 n 4 9 13 n 4 10 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 19 n 3 n 17683774600 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 10 9 (n - 1) (n ) (n - 4) 18 n 3 n 32844106600 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 10 9 (n - 1) (n ) (n - 4) 17 n 3 n 5268605024 n ((n - 1) ) (n - 4) + ----------------------------------- 13 n 4 10 (n - 1) (n ) (n - 4) 16 n 3 n 5781305504 n ((n - 1) ) (n - 4) - ----------------------------------- 13 n 4 10 (n - 1) (n ) (n - 4) 15 n 3 n 4651024512 n ((n - 1) ) (n - 4) + ----------------------------------- 13 n 4 10 (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 2581922304 n ((n - 1) ) (n - 4) 881915904 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 3 n 23 n 3 n 139345920 n ((n - 1) ) (n - 4) 144279631 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 22 n 3 n 1355630875 n ((n - 1) ) (n - 4) - ----------------------------------- 13 n 4 10 18 (n - 1) (n ) (n - 4) 21 n 3 n 2527980850 n ((n - 1) ) (n - 4) + ----------------------------------- 13 n 4 10 9 (n - 1) (n ) (n - 4) 11 n 2 n 24635695104 n ((n - 1) ) (n - 5) - ------------------------------------ 10 n 3 11 (n - 1) (n ) (n - 5) 14 n 2 n 47577216080 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 11 (n - 1) (n ) (n - 5) 15 n 2 n 293312589280 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 11 9 (n - 1) (n ) (n - 5) 10 n 2 n 8610140160 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 5) 13 n 2 n 53012319104 n ((n - 1) ) (n - 5) - ------------------------------------ 10 n 3 11 (n - 1) (n ) (n - 5) 9 n 2 n 27 n 2 n 1393459200 n ((n - 1) ) (n - 5) 16022 n ((n - 1) ) (n - 6) - ---------------------------------- - ------------------------------ 10 n 3 11 10 n 3 12 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 6) 26 n 2 n 25 n 2 n 425465 n ((n - 1) ) (n - 6) 3145577 n ((n - 1) ) (n - 6) + ------------------------------- - -------------------------------- 10 n 3 12 10 n 3 12 36 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 30 n 2 n 29 n 2 n n ((n - 1) ) (n - 6) 49 n ((n - 1) ) (n - 6) + ----------------------------- - ----------------------------- 10 n 3 12 10 n 3 12 216 (n - 1) (n ) (n - 6) 108 (n - 1) (n ) (n - 6) 28 n 2 n 28 n 2 n 4493 n ((n - 1) ) (n - 6) n ((n - 1) ) (n - 5) + ----------------------------- + ---------------------------- 10 n 3 12 10 n 3 11 216 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 215096801 n ((n - 1) ) (n - 6) 483992929 n ((n - 1) ) (n - 6) + ---------------------------------- - ---------------------------------- 10 n 3 12 10 n 3 12 108 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 21 n 2 n 81970183265 n ((n - 1) ) (n - 6) - ------------------------------------ 10 n 3 12 108 (n - 1) (n ) (n - 6) 20 n 2 n 261528530507 n ((n - 1) ) (n - 6) + ------------------------------------- 10 n 3 12 72 (n - 1) (n ) (n - 6) 19 n 2 n 128147063237 n ((n - 1) ) (n - 6) - ------------------------------------- 10 n 3 12 9 (n - 1) (n ) (n - 6) 18 n 2 n 2468549522677 n ((n - 1) ) (n - 6) + -------------------------------------- 10 n 3 12 54 (n - 1) (n ) (n - 6) 17 n 2 n 3235298452072 n ((n - 1) ) (n - 6) - -------------------------------------- 10 n 3 12 27 (n - 1) (n ) (n - 6) 22 n 2 n 27972032309 n ((n - 1) ) (n - 6) + ------------------------------------ 10 n 3 12 216 (n - 1) (n ) (n - 6) 16 n 2 n 6877828295110 n ((n - 1) ) (n - 6) + -------------------------------------- 10 n 3 12 27 (n - 1) (n ) (n - 6) 12 n 2 n 465418252544 n ((n - 1) ) (n - 6) + ------------------------------------- 10 n 3 12 (n - 1) (n ) (n - 6) 11 n 2 n 249019822080 n ((n - 1) ) (n - 6) - ------------------------------------- 10 n 3 12 (n - 1) (n ) (n - 6) 14 n 2 n 1754196797336 n ((n - 1) ) (n - 6) + -------------------------------------- 10 n 3 12 3 (n - 1) (n ) (n - 6) 15 n 2 n 11730211198928 n ((n - 1) ) (n - 6) - --------------------------------------- 10 n 3 12 27 (n - 1) (n ) (n - 6) 10 n 2 n 82642176000 n ((n - 1) ) (n - 6) + ------------------------------------ 10 n 3 12 (n - 1) (n ) (n - 6) 13 n 2 n 1817753459776 n ((n - 1) ) (n - 6) - -------------------------------------- 10 n 3 12 3 (n - 1) (n ) (n - 6) 9 n 2 n 21 n 2 n 12773376000 n ((n - 1) ) (n - 6) 476415107 n ((n - 1) ) (n - 5) - ----------------------------------- - ---------------------------------- 10 n 3 12 10 n 3 11 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 5) 20 n 2 n 1808512865 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 3 11 12 (n - 1) (n ) (n - 5) 19 n 2 n 2060507270 n ((n - 1) ) (n - 5) - ----------------------------------- 10 n 3 11 3 (n - 1) (n ) (n - 5) 18 n 2 n 7546964413 n ((n - 1) ) (n - 5) + ----------------------------------- 10 n 3 11 3 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 22214796016 n ((n - 1) ) (n - 5) 66374639 n ((n - 1) ) (n - 5) - ------------------------------------ + --------------------------------- 10 n 3 11 10 n 3 11 3 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 16 n 2 n 156990185764 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 11 9 (n - 1) (n ) (n - 5) 12 n 2 n 43449604608 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 11 (n - 1) (n ) (n - 5) 24 n 4 n 73671026741 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 5 14 162 (n - 1) (n ) (n - 4) 23 n 4 n 121648158983 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 5 14 81 (n - 1) (n ) (n - 4) 22 n 4 n 317170099952 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 5 14 81 (n - 1) (n ) (n - 4) 18 n 4 n 38811838864 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 5 14 3 (n - 1) (n ) (n - 4) 17 n 4 n 22991393408 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 5 14 3 (n - 1) (n ) (n - 4) 20 n 4 n 1019728226888 n ((n - 1) ) (n - 4) + -------------------------------------- 12 n 5 14 81 (n - 1) (n ) (n - 4) 21 n 4 n 647375234740 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 5 14 81 (n - 1) (n ) (n - 4) 16 n 4 n 2773776640 n ((n - 1) ) (n - 4) + ----------------------------------- 12 n 5 14 (n - 1) (n ) (n - 4) 19 n 4 n 403930690096 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 5 14 27 (n - 1) (n ) (n - 4) 15 n 4 n 34 n 4 n 461260800 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ---------------------------------- + ------------------------------ 12 n 5 14 12 n 5 14 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 33 n 4 n 32 n 4 n 13 n ((n - 1) ) (n - 4) 623 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 12 n 5 14 12 n 5 14 162 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 31 n 4 n 12 n 11 n 36541 n ((n - 1) ) (n - 4) n (n - 4) 33 n (n - 4) - ------------------------------ + ------------ - --------------- 12 n 5 14 n 8 n 8 324 (n - 1) (n ) (n - 4) n (n - 4) n (n - 4) 10 n 9 n 8 n 468 n (n - 4) 3738 n (n - 4) 18501 n (n - 4) + ---------------- - ---------------- + ----------------- n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 7 n 6 n 5 n 58737 n (n - 4) 119342 n (n - 4) 149172 n (n - 4) - ----------------- + ------------------ - ------------------ n 8 n 8 n 8 n (n - 4) n (n - 4) n (n - 4) 4 n 3 n 21 n 103608 n (n - 4) 30240 n (n - 4) 125 n (n - 7) + ------------------ - ----------------- - ---------------- n 8 n 8 n 15 n (n - 4) n (n - 4) 36 n (n - 7) 22 n 20 n 19 n n (n - 7) 605 n (n - 7) 7230 n (n - 7) + --------------- + ---------------- - ----------------- n 15 n 15 n 15 36 n (n - 7) 3 n (n - 7) n (n - 7) 18 n 17 n 15 n 1075661 n (n - 7) 19589305 n (n - 7) 4395294215 n (n - 7) + -------------------- - --------------------- - ----------------------- n 15 n 15 n 15 6 n (n - 7) 6 n (n - 7) 9 n (n - 7) 14 n 13 n 49919082707 n (n - 7) 112787525565 n (n - 7) + ------------------------ - ------------------------- n 15 n 15 12 n (n - 7) 4 n (n - 7) 12 n 11 n 457763645690 n (n - 7) 1975862051995 n (n - 7) + ------------------------- - -------------------------- n 15 n 15 3 n (n - 7) 3 n (n - 7) 16 n 10 n 407324305 n (n - 7) 20301880865464 n (n - 7) + ---------------------- + --------------------------- n 15 n 15 9 n (n - 7) 9 n (n - 7) 6 n 5 n 22534629861696 n (n - 7) 17468178865920 n (n - 7) + -------------------------- - -------------------------- n 15 n 15 n (n - 7) n (n - 7) 8 n 9 n 37871795527520 n (n - 7) 54624933916460 n (n - 7) + -------------------------- - -------------------------- n 15 n 15 3 n (n - 7) 9 n (n - 7) 4 n 7 n 8197483392000 n (n - 7) 19800111884720 n (n - 7) + ------------------------- - -------------------------- n 15 n 15 n (n - 7) n (n - 7) 3 n 13 n n 1743565824000 n (n - 7) 8540 n (n - 1) (n - 3) - ------------------------- + -------------------------- n 15 5 n 2 7 n (n - 7) 3 (n - 1) (n ) (n - 3) 12 n n 11 n n 14819 n (n - 1) (n - 3) 51548 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 1090880 n (n - 1) (n - 3) 1709680 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 568624 n (n - 1) (n - 3) 108416 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 15 n n 26880 n (n - 1) (n - 3) 280 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 7 3 n 2 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n n 13 n n 4858 n (n - 1) (n - 3) 16016 n (n - 1) (n - 3) - -------------------------- + --------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n n 11 n n 33271 n (n - 1) (n - 3) 408856 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 3339392 n (n - 1) (n - 3) 5958512 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 6658064 n (n - 1) (n - 3) 466368 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 3 n 2 9 3 n 2 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n n 125440 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - --------------------------- - ------------------------- 3 n 2 9 3 n 2 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 30 n 2 n 27 n 2 n n ((n - 1) ) (n - 6) 176527 n ((n - 1) ) (n - 6) + ---------------------------- - ------------------------------- 6 n 3 16 6 n 3 16 216 (n - 1) (n ) (n - 6) 108 (n - 1) (n ) (n - 6) 28 n 2 n 20 n 19 n 2957 n ((n - 1) ) (n - 6) n (n - 6) 35 n (n - 6) + ----------------------------- + -------------- - --------------- 6 n 3 16 n 14 n 14 72 (n - 1) (n ) (n - 6) 6 n (n - 6) 2 n (n - 6) 18 n 17 n 15 n 846 n (n - 6) 24990 n (n - 6) 7394205 n (n - 6) + ---------------- - ------------------ - -------------------- n 14 n 14 n 14 n (n - 6) n (n - 6) n (n - 6) 14 n 13 n 243787466 n (n - 6) 683833150 n (n - 6) + ---------------------- - ---------------------- n 14 n 14 3 n (n - 6) n (n - 6) 12 n 11 n 16 n 8913658611 n (n - 6) 45205435275 n (n - 6) 504797 n (n - 6) + ----------------------- - ------------------------ + ------------------- n 14 n 14 n 14 2 n (n - 6) 2 n (n - 6) n (n - 6) 10 n 6 n 89099276968 n (n - 6) 1337786496864 n (n - 6) + ------------------------ + ------------------------- n 14 n 14 n (n - 6) n (n - 6) 5 n 8 n 1113891569280 n (n - 6) 1884126950192 n (n - 6) - ------------------------- + ------------------------- n 14 n 14 n (n - 6) 3 n (n - 6) 9 n 4 n 271110283080 n (n - 6) 555882048000 n (n - 6) - ------------------------ + ------------------------ n 14 n 14 n (n - 6) n (n - 6) 7 n 3 n 1082512497640 n (n - 6) 124540416000 n (n - 6) - ------------------------- - ------------------------ n 14 n 14 n (n - 6) n (n - 6) 32 n 4 n 31 n 4 n 200 n ((n - 1) ) (n - 4) 10844 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 18 n 5 8 18 n 5 8 9 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 30 n 4 n 29 n 4 n 136802 n ((n - 1) ) (n - 4) 1280080 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 18 n 5 8 18 n 5 8 27 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 27642364 n ((n - 1) ) (n - 4) 156639476 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 18 n 5 8 18 n 5 8 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 236376523 n ((n - 1) ) (n - 4) 862459510 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 18 n 5 8 18 n 5 8 27 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 23 n 4 n 23 n 4 n 387748904 n ((n - 1) ) (n - 3) 9791362 n ((n - 1) ) (n - 2) - ---------------------------------- - -------------------------------- 18 n 5 7 18 n 5 6 27 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 26754584 n ((n - 1) ) (n - 2) 56215888 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 18 n 5 6 18 n 5 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 30 n 4 n 32 n 4 n n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + --------------------------- + --------------------------- 18 n 5 6 18 n 5 7 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 52 n ((n - 1) ) (n - 3) 1259 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 18850 n ((n - 1) ) (n - 3) 195467 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 18 n 5 7 18 n 5 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 18 n 6 10 n 2 n 1024 n ((n - 1) ) 825216 n ((n - 1) ) (n - 3) - -------------------- + ------------------------------- 22 n 6 10 n 3 7 (n - 1) (n ) (n - 1) (n ) (n - 3) 9 n 2 n 18 n 2 n 161280 n ((n - 1) ) (n - 3) 247114 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 7 8 n 3 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 503558 n ((n - 1) ) (n - 3) 6662020 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n 2 n 15 n 5 21454384 n ((n - 1) ) (n - 3) 512 n ((n - 1) ) - --------------------------------- - ------------------- 8 n 3 9 23 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) 28 n 5 27 n 5 11 n n ((n - 1) ) 19 n ((n - 1) ) 114905 n (n - 4) + -------------------- - ------------------- - ------------------- 23 n 5 23 n 5 n 10 1296 (n - 1) (n ) 648 (n - 1) (n ) 6 n (n - 4) 10 n 9 n 8 n 1890469 n (n - 4) 5246185 n (n - 4) 120047207 n (n - 4) + -------------------- - ------------------- + --------------------- n 10 n 10 n 10 12 n (n - 4) 6 n (n - 4) 36 n (n - 4) 7 n 6 n 5 n 156972725 n (n - 4) 45864637 n (n - 4) 17057390 n (n - 4) - --------------------- + -------------------- - -------------------- n 10 n 10 n 10 18 n (n - 4) 3 n (n - 4) n (n - 4) 4 n 3 n 14 n 10853304 n (n - 4) 2963520 n (n - 4) 49 n (n - 4) + -------------------- - ------------------- + --------------- n 10 n 10 n 10 n (n - 4) n (n - 4) 36 n (n - 4) 13 n 12 n 26 n 5 1225 n (n - 4) 17983 n (n - 4) 331 n ((n - 1) ) - ----------------- + ------------------ + ------------------- n 10 n 10 23 n 5 18 n (n - 4) 12 n (n - 4) 648 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 875 n ((n - 1) ) 5569 n ((n - 1) ) 42767 n ((n - 1) ) - ------------------- + -------------------- - --------------------- 23 n 5 23 n 5 23 n 5 162 (n - 1) (n ) 144 (n - 1) (n ) 216 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 120793 n ((n - 1) ) 169393 n ((n - 1) ) 353821 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 23 n 5 23 n 5 23 n 5 162 (n - 1) (n ) 81 (n - 1) (n ) 81 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 543602 n ((n - 1) ) 199040 n ((n - 1) ) 16448 n ((n - 1) ) - ---------------------- + ---------------------- - --------------------- 23 n 5 23 n 5 23 n 5 81 (n - 1) (n ) 27 (n - 1) (n ) 3 (n - 1) (n ) 16 n 5 21 n 7 36 n 7 7424 n ((n - 1) ) 12288 n ((n - 1) ) n ((n - 1) ) + -------------------- - --------------------- + ------------------- 23 n 5 29 n 7 29 n 7 3 (n - 1) (n ) (n - 1) (n ) 216 (n - 1) (n ) 35 n 7 34 n 7 33 n 7 7 n ((n - 1) ) 409 n ((n - 1) ) 1225 n ((n - 1) ) - ------------------ + ------------------- - -------------------- 29 n 7 29 n 7 29 n 7 36 (n - 1) (n ) 108 (n - 1) (n ) 27 (n - 1) (n ) 32 n 7 31 n 7 30 n 7 26923 n ((n - 1) ) 242543 n ((n - 1) ) 548309 n ((n - 1) ) + --------------------- - ---------------------- + ---------------------- 29 n 7 29 n 7 29 n 7 72 (n - 1) (n ) 108 (n - 1) (n ) 54 (n - 1) (n ) 29 n 7 28 n 7 316753 n ((n - 1) ) 2545958 n ((n - 1) ) - ---------------------- + ----------------------- 29 n 7 29 n 7 9 (n - 1) (n ) 27 (n - 1) (n ) 27 n 7 26 n 7 5272916 n ((n - 1) ) 2791208 n ((n - 1) ) - ----------------------- + ----------------------- 29 n 7 29 n 7 27 (n - 1) (n ) 9 (n - 1) (n ) 25 n 7 24 n 7 10013968 n ((n - 1) ) 2910208 n ((n - 1) ) - ------------------------ + ----------------------- 29 n 7 29 n 7 27 (n - 1) (n ) 9 (n - 1) (n ) 23 n 7 22 n 7 18 n 6 194048 n ((n - 1) ) 71680 n ((n - 1) ) 4096 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 29 n 7 29 n 7 26 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 32 n 6 31 n 6 30 n 6 n ((n - 1) ) 10 n ((n - 1) ) 41 n ((n - 1) ) - ------------------- + ------------------ - ------------------ 26 n 6 26 n 6 26 n 6 324 (n - 1) (n ) 81 (n - 1) (n ) 18 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 2081 n ((n - 1) ) 64121 n ((n - 1) ) 29737 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 26 n 6 26 n 6 26 n 6 81 (n - 1) (n ) 324 (n - 1) (n ) 27 (n - 1) (n ) 26 n 6 25 n 6 369887 n ((n - 1) ) 1160744 n ((n - 1) ) - ---------------------- + ----------------------- 26 n 6 26 n 6 81 (n - 1) (n ) 81 (n - 1) (n ) 24 n 6 23 n 6 923476 n ((n - 1) ) 5004976 n ((n - 1) ) - ---------------------- + ----------------------- 26 n 6 26 n 6 27 (n - 1) (n ) 81 (n - 1) (n ) 22 n 6 21 n 6 6737296 n ((n - 1) ) 2184448 n ((n - 1) ) - ----------------------- + ----------------------- 26 n 6 26 n 6 81 (n - 1) (n ) 27 (n - 1) (n ) 20 n 6 19 n 6 40 n 8 53760 n ((n - 1) ) 65536 n ((n - 1) ) 7 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 26 n 6 26 n 6 32 n 8 (n - 1) (n ) 3 (n - 1) (n ) 1296 (n - 1) (n ) 39 n 8 38 n 8 37 n 8 77 n ((n - 1) ) 3157 n ((n - 1) ) 6671 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 32 n 8 32 n 8 32 n 8 324 (n - 1) (n ) 648 (n - 1) (n ) 108 (n - 1) (n ) 36 n 8 35 n 8 702583 n ((n - 1) ) 282898 n ((n - 1) ) - ---------------------- + ---------------------- 32 n 8 32 n 8 1296 (n - 1) (n ) 81 (n - 1) (n ) 34 n 8 33 n 8 1383991 n ((n - 1) ) 5244988 n ((n - 1) ) - ----------------------- + ----------------------- 32 n 8 32 n 8 81 (n - 1) (n ) 81 (n - 1) (n ) 32 n 8 31 n 8 15562666 n ((n - 1) ) 4030768 n ((n - 1) ) - ------------------------ + ----------------------- 32 n 8 32 n 8 81 (n - 1) (n ) 9 (n - 1) (n ) 30 n 8 29 n 8 66218096 n ((n - 1) ) 93664256 n ((n - 1) ) - ------------------------ + ------------------------ 32 n 8 32 n 8 81 (n - 1) (n ) 81 (n - 1) (n ) 28 n 8 27 n 8 100654960 n ((n - 1) ) 26483968 n ((n - 1) ) - ------------------------- + ------------------------ 32 n 8 32 n 8 81 (n - 1) (n ) 27 (n - 1) (n ) 26 n 8 25 n 8 18 n 1609216 n ((n - 1) ) 544768 n ((n - 1) ) 7 n (n - 5) - ----------------------- + ---------------------- + --------------- 32 n 8 32 n 8 n 13 3 (n - 1) (n ) 3 (n - 1) (n ) 36 n (n - 5) 17 n 15 n 14 n 203 n (n - 5) 191975 n (n - 5) 9267349 n (n - 5) - ---------------- - ------------------- + -------------------- n 13 n 13 n 13 12 n (n - 5) 12 n (n - 5) 36 n (n - 5) 13 n 12 n 11 n 35436401 n (n - 5) 897081185 n (n - 5) 1887810925 n (n - 5) - --------------------- + ---------------------- - ----------------------- n 13 n 13 n 13 12 n (n - 5) 36 n (n - 5) 12 n (n - 5) 16 n 10 n 6 n 24115 n (n - 5) 6733690964 n (n - 5) 19058257008 n (n - 5) + ------------------ + ----------------------- + ----------------------- n 13 n 13 n 13 36 n (n - 5) 9 n (n - 5) n (n - 5) 5 n 8 n 17366991936 n (n - 5) 64208821040 n (n - 5) - ----------------------- + ----------------------- n 13 n 13 n (n - 5) 9 n (n - 5) 9 n 4 n 8030438416 n (n - 5) 9358352640 n (n - 5) - ---------------------- + ---------------------- n 13 n 13 3 n (n - 5) n (n - 5) 7 n 3 n 41654567500 n (n - 5) 2235340800 n (n - 5) - ----------------------- - ---------------------- n 13 n 13 3 n (n - 5) n (n - 5) 23 n 5 n 22 n 5 n 3087152768 n ((n - 1) ) (n - 3) 321414016 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 21 n 6 7 21 n 6 7 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 21 n 5 n 20 n 5 n 222349312 n ((n - 1) ) (n - 3) 35631104 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 21 n 6 7 21 n 6 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 27 n 3 n 10616832 n ((n - 1) ) (n - 3) 77 n ((n - 1) ) (n - 4) + --------------------------------- + --------------------------- 21 n 6 7 9 n 4 12 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 26 n 3 n 28 n 3 n 2699 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------- 9 n 4 12 9 n 4 12 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 122424824 n ((n - 1) ) (n - 3) 40327840 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 20 n 5 5 20 n 5 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 9770240 n ((n - 1) ) (n - 3) 1639424 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 20 n 5 5 20 n 5 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 509952 n ((n - 1) ) (n - 3) 73728 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 20 n 5 5 20 n 5 5 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 66304 n ((n - 1) ) (n - 2) 10752 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 20 n 5 4 20 n 5 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n 7 n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 20 n 5 4 20 n 5 4 1296 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 5719 n ((n - 1) ) (n - 2) 11389 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 20 n 5 4 20 n 5 4 1296 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 560749 n ((n - 1) ) (n - 2) 557767 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 20 n 5 4 20 n 5 4 1296 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 15001805 n ((n - 1) ) (n - 2) 8569715 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 20 n 5 4 20 n 5 4 1296 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 16976155 n ((n - 1) ) (n - 2) 5756485 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 20 n 5 4 20 n 5 4 162 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 26830937 n ((n - 1) ) (n - 2) 10414558 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 20 n 5 4 20 n 5 4 81 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2930816 n ((n - 1) ) (n - 2) 564032 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 20 n 5 4 20 n 5 4 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 37 n 6 n 38 n 6 n 16 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 24 n 7 6 24 n 7 6 27 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 36 n 6 n 22 n n 1075 n ((n - 1) ) (n - 2) 1762 n (n - 1) (n - 6) + ----------------------------- - -------------------------- 24 n 7 6 3 n 2 14 81 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 6) 21 n n 20 n n 17788 n (n - 1) (n - 6) 1109554 n (n - 1) (n - 6) + --------------------------- - ----------------------------- 3 n 2 14 3 n 2 14 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 18 n n 17 n n 576305392 n (n - 1) (n - 6) 5078148764 n (n - 1) (n - 6) - ------------------------------- + -------------------------------- 3 n 2 14 3 n 2 14 9 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 16 n n 15 n n 11648991211 n (n - 1) (n - 6) 21010917499 n (n - 1) (n - 6) - --------------------------------- + --------------------------------- 3 n 2 14 3 n 2 14 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 14 n n 19 n n 268609424486 n (n - 1) (n - 6) 16807598 n (n - 1) (n - 6) - ---------------------------------- + ------------------------------ 3 n 2 14 3 n 2 14 3 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 13 n n 9 n n 898617674032 n (n - 1) (n - 6) 2526309708672 n (n - 1) (n - 6) + ---------------------------------- + ---------------------------------- 3 n 2 14 3 n 2 14 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 8 n n 1855776791040 n (n - 1) (n - 6) - ---------------------------------- 3 n 2 14 (n - 1) (n ) (n - 6) 11 n n 14031582786608 n (n - 1) (n - 6) + ------------------------------------ 3 n 2 14 9 (n - 1) (n ) (n - 6) 12 n n 7 n n 7021577297344 n (n - 1) (n - 6) 824203008000 n (n - 1) (n - 6) - ----------------------------------- + --------------------------------- 3 n 2 14 3 n 2 14 9 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 10 n n 6 n n 7005622984288 n (n - 1) (n - 6) 166053888000 n (n - 1) (n - 6) - ----------------------------------- - --------------------------------- 3 n 2 14 3 n 2 14 3 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 24 n 6 n 23 n 6 n 205398016 n ((n - 1) ) (n - 2) 11300864 n ((n - 1) ) (n - 2) + ---------------------------------- - --------------------------------- 24 n 7 6 24 n 7 6 27 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 26 n 6 n 27 n 6 n 295153472 n ((n - 1) ) (n - 2) 692962336 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 24 n 7 6 24 n 7 6 27 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 22 n 6 n 25 n 6 n 3457024 n ((n - 1) ) (n - 2) 861543040 n ((n - 1) ) (n - 2) + -------------------------------- - ---------------------------------- 24 n 7 6 24 n 7 6 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 21 n 6 n 26 n 5 n 163840 n ((n - 1) ) (n - 2) 818162656 n ((n - 1) ) (n - 3) - ------------------------------- - ---------------------------------- 24 n 7 6 21 n 6 7 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 3) 26 n 5 n 25 n 5 n 23168654 n ((n - 1) ) (n - 2) 54862528 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 21 n 6 6 21 n 6 6 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 24 n 5 n 34 n 5 n 101238584 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------------- - --------------------------- 21 n 6 6 21 n 6 6 27 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 33 n 5 n 36 n 5 n 23 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 21 n 6 6 21 n 6 7 27 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 3) 35 n 5 n 34 n 5 n n ((n - 1) ) (n - 3) 1363 n ((n - 1) ) (n - 3) + ------------------------ - ----------------------------- 21 n 6 7 21 n 6 7 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 33 n 5 n 32 n 5 n 10684 n ((n - 1) ) (n - 3) 233167 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 21 n 6 7 21 n 6 7 27 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 31 n 5 n 30 n 5 n 940327 n ((n - 1) ) (n - 3) 11619797 n ((n - 1) ) (n - 3) + ------------------------------- - --------------------------------- 21 n 6 7 21 n 6 7 27 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 29 n 5 n 28 n 5 n 28116250 n ((n - 1) ) (n - 3) 108033892 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 21 n 6 7 21 n 6 7 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 27 n 5 n 32 n 5 n 332038664 n ((n - 1) ) (n - 3) 983 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------- 21 n 6 7 21 n 6 6 27 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 2) 31 n 5 n 30 n 5 n 6476 n ((n - 1) ) (n - 2) 117755 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------- 21 n 6 6 21 n 6 6 27 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 391595 n ((n - 1) ) (n - 2) 145971 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 21 n 6 6 21 n 6 6 27 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 27 n 5 n 25 n 5 n 7652242 n ((n - 1) ) (n - 2) 1612263008 n ((n - 1) ) (n - 3) + -------------------------------- + ----------------------------------- 21 n 6 6 21 n 6 7 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 3) 24 n 5 n 24 n n 840539072 n ((n - 1) ) (n - 3) n (n - 1) (n - 6) - ---------------------------------- - --------------------------- 21 n 6 7 5 n 2 12 9 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 6) 23 n n 22 n n 89 n (n - 1) (n - 6) 611 n (n - 1) (n - 6) + --------------------------- - -------------------------- 5 n 2 12 5 n 2 12 18 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 5) 91 n ((n - 1) ) (n - 5) + -------------------------- - --------------------------- 6 n 3 13 6 n 3 13 6 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 554 n ((n - 1) ) (n - 2) 5242 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 11003 n ((n - 1) ) (n - 2) 48553 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 4 6 13 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 461588 n ((n - 1) ) (n - 2) 1057720 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 1738000 n ((n - 1) ) (n - 2) 1995056 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 13 n 4 6 13 n 4 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 168512 n ((n - 1) ) (n - 2) 76032 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 13 n 4 6 13 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 22 n 2 n 15360 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------- 13 n 4 6 10 n 3 7 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 287 n ((n - 1) ) (n - 3) 1337 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 10 n 3 7 10 n 3 7 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 29981 n ((n - 1) ) (n - 3) 150409 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 18 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 801997 n ((n - 1) ) (n - 3) 4674397 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 10 n 3 7 10 n 3 7 12 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 6697684 n ((n - 1) ) (n - 3) 14147560 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 21740348 n ((n - 1) ) (n - 3) 7867384 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 13 n n 1902432 n ((n - 1) ) (n - 3) 185862479 n (n - 1) (n - 4) - -------------------------------- + ------------------------------- 10 n 3 7 3 n 2 12 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 9 n n 8 n n 1520502736 n (n - 1) (n - 4) 446570528 n (n - 1) (n - 4) + ------------------------------- - ------------------------------ 3 n 2 12 3 n 2 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 1783730608 n (n - 1) (n - 4) 224103814 n (n - 1) (n - 4) + -------------------------------- - ------------------------------- 3 n 2 12 3 n 2 12 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 7 n n 18 n n 231688320 n (n - 1) (n - 4) 267 n (n - 1) (n - 4) + ------------------------------ - ------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n n 17 n n 73 n (n - 1) (n - 4) 47213 n (n - 1) (n - 4) + -------------------------- + --------------------------- 3 n 2 12 3 n 2 12 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 15 n n 14 n n 1895113 n (n - 1) (n - 4) 37913249 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 3 n 2 12 3 n 2 12 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 16 n n 10 n n 617705 n (n - 1) (n - 4) 3413047648 n (n - 1) (n - 4) - ---------------------------- - -------------------------------- 3 n 2 12 3 n 2 12 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 6 n n 20 n n 53222400 n (n - 1) (n - 4) n (n - 1) (n - 4) - ----------------------------- - -------------------------- 3 n 2 12 3 n 2 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 16 n 2 n 12 n 2 n 522018200 n ((n - 1) ) (n - 4) 2190358528 n ((n - 1) ) (n - 4) + ---------------------------------- + ----------------------------------- 6 n 3 12 6 n 3 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 1687244064 n ((n - 1) ) (n - 4) - ----------------------------------- 6 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 1163418144 n ((n - 1) ) (n - 4) + ----------------------------------- 6 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 10 n 2 n 1564176746 n ((n - 1) ) (n - 4) 774898560 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 6 n 3 12 6 n 3 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 22 n 2 n 52019 n ((n - 1) ) (n - 4) 2549 n ((n - 1) ) (n - 4) - ------------------------------ + ----------------------------- 6 n 3 12 6 n 3 12 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 20 n 2 n 18 n 2 n 237377 n ((n - 1) ) (n - 4) 49283927 n ((n - 1) ) (n - 4) + ------------------------------- + --------------------------------- 6 n 3 12 6 n 3 12 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 87229659 n ((n - 1) ) (n - 4) 6920749 n ((n - 1) ) (n - 4) - --------------------------------- - -------------------------------- 6 n 3 12 6 n 3 12 2 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 5693801752 n ((n - 1) ) (n - 4) 159667200 n ((n - 1) ) (n - 4) - ----------------------------------- - --------------------------------- 6 n 3 12 6 n 3 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 2 n 21 n 5 20 n 5 n ((n - 1) ) (n - 4) 17 n ((n - 1) ) 61 n ((n - 1) ) + -------------------------- - ------------------ + ------------------ 6 n 3 12 17 n 5 17 n 5 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) 3 (n - 1) (n ) 19 n 5 18 n 5 17 n 5 80 n ((n - 1) ) 560 n ((n - 1) ) 776 n ((n - 1) ) - ------------------ + ------------------- - ------------------- 17 n 5 17 n 5 17 n 5 (n - 1) (n ) 3 (n - 1) (n ) 3 (n - 1) (n ) 16 n 5 14 n 13 n 12 n 592 n ((n - 1) ) n (n - 5) 15 n (n - 5) 448 n (n - 5) + ------------------- + ------------- - --------------- + ---------------- 17 n 5 n 9 n 9 n 9 3 (n - 1) (n ) 6 n (n - 5) 2 n (n - 5) 3 n (n - 5) 11 n 10 n 9 n 1735 n (n - 5) 26111 n (n - 5) 133455 n (n - 5) - ----------------- + ------------------ - ------------------ n 9 n 9 n 9 n (n - 5) 2 n (n - 5) 2 n (n - 5) 8 n 7 n 6 n 708109 n (n - 5) 576810 n (n - 5) 2856308 n (n - 5) + ------------------ - ------------------ + ------------------- n 9 n 9 n 9 3 n (n - 5) n (n - 5) 3 n (n - 5) 10 n 6 n 5 n 28671863 n (n - 4) 125556848 n (n - 4) 43003996 n (n - 4) + --------------------- + --------------------- - -------------------- n 12 n 12 n 12 36 n (n - 4) 3 n (n - 4) n (n - 4) 8 n 9 n 4 n 103818484 n (n - 4) 128518753 n (n - 4) 25634640 n (n - 4) + --------------------- - --------------------- + -------------------- n 12 n 12 n 12 9 n (n - 4) 36 n (n - 4) n (n - 4) 15 n 16 n 14 n 71 n (n - 4) n (n - 4) 2261 n (n - 4) - --------------- + --------------- + ----------------- n 12 n 12 n 12 36 n (n - 4) 36 n (n - 4) 36 n (n - 4) 12 n 11 n 13 n 59147 n (n - 4) 1540231 n (n - 4) 42691 n (n - 4) + ------------------ - -------------------- - ------------------ n 12 n 12 n 12 4 n (n - 4) 12 n (n - 4) 36 n (n - 4) 7 n 3 n 238295684 n (n - 4) 6652800 n (n - 4) - --------------------- - ------------------- n 12 n 12 9 n (n - 4) n (n - 4) 22 n 6 n 21 n 6 n 264192 n ((n - 1) ) (n - 2) 36864 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 26 n 7 4 26 n 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 38 n 6 n 37 n 6 n n ((n - 1) ) (n - 2) 23 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 26 n 7 4 26 n 7 4 216 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 36 n 6 n 35 n 6 n 989 n ((n - 1) ) (n - 2) 6599 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 26 n 7 4 26 n 7 4 216 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 34 n 6 n 33 n 6 n 122423 n ((n - 1) ) (n - 2) 418781 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 26 n 7 4 26 n 7 4 216 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 32 n 6 n 31 n 6 n 1458629 n ((n - 1) ) (n - 2) 8915137 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 26 n 7 4 26 n 7 4 72 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 30 n 6 n 29 n 6 n 14338915 n ((n - 1) ) (n - 2) 18307525 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 26 n 7 4 26 n 7 4 54 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 28 n 6 n 27 n 6 n 37103162 n ((n - 1) ) (n - 2) 59327212 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 26 n 7 4 26 n 7 4 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 26 n 6 n 25 n 6 n 73907368 n ((n - 1) ) (n - 2) 23401232 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 26 n 7 4 26 n 7 4 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 24 n 6 n 23 n 6 n 5453824 n ((n - 1) ) (n - 2) 881152 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 26 n 7 4 26 n 7 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 36 n 5 n 35 n 5 n n ((n - 1) ) (n - 3) 25 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 23 n 6 5 23 n 6 5 324 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 34 n 5 n 33 n 5 n 391 n ((n - 1) ) (n - 3) 953 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 23 n 6 5 23 n 6 5 108 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 32 n 5 n 31 n 5 n 58405 n ((n - 1) ) (n - 3) 221209 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 23 n 6 5 23 n 6 5 108 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 30 n 5 n 29 n 5 n 7726135 n ((n - 1) ) (n - 3) 17666911 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 23 n 6 5 23 n 6 5 324 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 28 n 5 n 27 n 5 n 10723063 n ((n - 1) ) (n - 3) 10441190 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 23 n 6 5 23 n 6 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 26 n 5 n 25 n 5 n 73555508 n ((n - 1) ) (n - 3) 138493240 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 23 n 6 5 23 n 6 5 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 24 n 5 n 23 n 5 n 622432432 n ((n - 1) ) (n - 3) 731666336 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 23 n 6 5 23 n 6 5 81 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 219932800 n ((n - 1) ) (n - 3) 48917504 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 23 n 6 5 23 n 6 5 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 7577600 n ((n - 1) ) (n - 3) 729088 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 23 n 6 5 23 n 6 5 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 19 n 5 n 98304 n ((n - 1) ) (n - 3) 245760 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 23 n 6 5 23 n 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 18 n 5 n 34 n 5 n 36864 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ - ---------------------------- 23 n 6 4 23 n 6 4 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 33 n 5 n 32 n 5 n 11 n ((n - 1) ) (n - 2) 901 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 31 n 5 n 30 n 5 n 2849 n ((n - 1) ) (n - 2) 99631 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 159575 n ((n - 1) ) (n - 2) 3099287 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 2907925 n ((n - 1) ) (n - 2) 8523065 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 19568920 n ((n - 1) ) (n - 2) 35068484 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 48517456 n ((n - 1) ) (n - 2) 16926608 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 23 n 6 4 23 n 6 4 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 4316416 n ((n - 1) ) (n - 2) 758272 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 23 n 6 4 23 n 6 4 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 34 n 4 n 33 n 4 n n ((n - 1) ) (n - 4) 7 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 20 n 5 6 20 n 5 6 1296 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 32 n 4 n 31 n 4 n 41 n ((n - 1) ) (n - 4) 169 n ((n - 1) ) (n - 4) + --------------------------- - ---------------------------- 20 n 5 6 20 n 5 6 36 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 30 n 4 n 29 n 4 n 46895 n ((n - 1) ) (n - 4) 100981 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 20 n 5 6 20 n 5 6 216 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 2015663 n ((n - 1) ) (n - 4) 5300069 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 20 n 5 6 20 n 5 6 162 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 39737461 n ((n - 1) ) (n - 4) 8472430 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 20 n 5 6 20 n 5 6 144 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 24 n 4 n 23 n 4 n 281651693 n ((n - 1) ) (n - 4) 158371867 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 20 n 5 6 20 n 5 6 108 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 22 n 4 n 21 n 4 n 863835811 n ((n - 1) ) (n - 4) 1258158776 n ((n - 1) ) (n - 4) + ---------------------------------- - ----------------------------------- 20 n 5 6 20 n 5 6 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 20 n 4 n 19 n 4 n 160676260 n ((n - 1) ) (n - 4) 15817744 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 20 n 5 6 20 n 5 6 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 4 n 17 n 4 n 31238272 n ((n - 1) ) (n - 4) 4790784 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 20 n 5 6 20 n 5 6 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n 4 n 15 n 4 n 1373184 n ((n - 1) ) (n - 4) 184320 n ((n - 1) ) (n - 4) + -------------------------------- - ------------------------------- 20 n 5 6 20 n 5 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 32 n 4 n 31 n 4 n n ((n - 1) ) (n - 3) 2 n ((n - 1) ) (n - 3) + ---------------------------- - -------------------------- 20 n 5 5 20 n 5 5 216 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 359 n ((n - 1) ) (n - 3) 625 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 20 n 5 5 20 n 5 5 72 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 16135 n ((n - 1) ) (n - 3) 43201 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 20 n 5 5 20 n 5 5 24 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 5652487 n ((n - 1) ) (n - 3) 333734 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 20 n 5 5 20 n 5 5 216 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 6718255 n ((n - 1) ) (n - 3) 8943530 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 20 n 5 5 20 n 5 5 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 2098966 n ((n - 1) ) (n - 3) 31465232 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 20 n 5 5 20 n 5 5 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 22 n 5 24 n n n 6 n ((n - 1) ) n (n - 1) (n - 6) 85 (n - 2) n + ----------------- - -------------------------- + -------------- 17 n 5 3 n 2 14 6 n 6 (n - 1) (n ) 9 (n - 1) (n ) (n - 6) 6 (n - 2) n n 5 n 4 n 3 n 8 75 (n - 2) n 137 (n - 2) n 20 (n - 2) n (n - 2) n - -------------- + --------------- - -------------- + ------------- 6 n 6 n 6 n 6 n 2 (n - 2) n 3 (n - 2) n (n - 2) n 6 (n - 2) n n 7 31 n 6 n 5 (n - 2) n 23186918 n ((n - 1) ) (n - 2) - ------------- - --------------------------------- 6 n 24 n 7 6 2 (n - 2) n 81 (n - 1) (n ) (n - 2) 30 n 6 n 29 n 6 n 76946276 n ((n - 1) ) (n - 2) 202399672 n ((n - 1) ) (n - 2) + --------------------------------- - ---------------------------------- 24 n 7 6 24 n 7 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 28 n 6 n 24 n 4 n 421927280 n ((n - 1) ) (n - 2) 88280207 n ((n - 1) ) (n - 3) + ---------------------------------- + --------------------------------- 24 n 7 6 16 n 5 9 81 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 3) 23 n 4 n 22 n 4 n 270395134 n ((n - 1) ) (n - 3) 651435812 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 16 n 5 9 16 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 1227513256 n ((n - 1) ) (n - 3) 198544656 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 16 n 5 9 16 n 5 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1967148448 n ((n - 1) ) (n - 3) 527062400 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 16 n 5 9 16 n 5 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 97122816 n ((n - 1) ) (n - 3) 32950272 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 16 n 5 9 16 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 23 n 4 n 5160960 n ((n - 1) ) (n - 3) 16345411618 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------------ 16 n 5 9 16 n 5 10 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 22 n 4 n 11368609300 n ((n - 1) ) (n - 4) + ------------------------------------ 16 n 5 10 3 (n - 1) (n ) (n - 4) 21 n 4 n 56552829208 n ((n - 1) ) (n - 4) - ------------------------------------ 16 n 5 10 9 (n - 1) (n ) (n - 4) 20 n 4 n 8159257776 n ((n - 1) ) (n - 4) + ----------------------------------- 16 n 5 10 (n - 1) (n ) (n - 4) 19 n 4 n 8106817760 n ((n - 1) ) (n - 4) - ----------------------------------- 16 n 5 10 (n - 1) (n ) (n - 4) 18 n 4 n 5941985664 n ((n - 1) ) (n - 4) + ----------------------------------- 16 n 5 10 (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 3022880256 n ((n - 1) ) (n - 4) 951588864 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 16 n 5 10 16 n 5 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 26 n 4 n 139345920 n ((n - 1) ) (n - 4) 1932749399 n ((n - 1) ) (n - 4) - ---------------------------------- + ----------------------------------- 16 n 5 10 16 n 5 10 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 25 n 4 n 3883611725 n ((n - 1) ) (n - 4) - ----------------------------------- 16 n 5 10 18 (n - 1) (n ) (n - 4) 24 n 4 n 23 n 2 n 6279743009 n ((n - 1) ) (n - 4) 25 n ((n - 1) ) (n - 4) + ----------------------------------- - --------------------------- 16 n 5 10 6 n 3 12 9 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 12 n n 144789339760 n (n - 1) (n - 5) 64223686592 n (n - 1) (n - 5) + ---------------------------------- - --------------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 35917793280 n (n - 1) (n - 5) 80276517728 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 26 n 5 n 7664025600 n (n - 1) (n - 5) 2384452160 n ((n - 1) ) (n - 3) - ------------------------------- - ----------------------------------- 3 n 2 13 19 n 6 9 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 3) 25 n 5 n 5060769760 n ((n - 1) ) (n - 3) + ----------------------------------- 19 n 6 9 27 (n - 1) (n ) (n - 3) 24 n 5 n 8483856832 n ((n - 1) ) (n - 3) - ----------------------------------- 19 n 6 9 27 (n - 1) (n ) (n - 3) 23 n 5 n 11081904512 n ((n - 1) ) (n - 3) + ------------------------------------ 19 n 6 9 27 (n - 1) (n ) (n - 3) 22 n 5 n 11030968192 n ((n - 1) ) (n - 3) - ------------------------------------ 19 n 6 9 27 (n - 1) (n ) (n - 3) 21 n 5 n 20 n 5 n 2690986496 n ((n - 1) ) (n - 3) 151463936 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 19 n 6 9 19 n 6 9 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 5 n 18 n 5 n 47374336 n ((n - 1) ) (n - 3) 6881280 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 19 n 6 9 19 n 6 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 34 n 4 n 33 n 4 n n ((n - 1) ) (n - 4) 2 n ((n - 1) ) (n - 4) + ---------------------------- - -------------------------- 16 n 5 10 16 n 5 10 36 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 32 n 4 n 31 n 4 n 1205 n ((n - 1) ) (n - 4) 24931 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 16 n 5 10 16 n 5 10 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 30 n 4 n 29 n 4 n 178774 n ((n - 1) ) (n - 4) 3777715 n ((n - 1) ) (n - 4) + ------------------------------- - -------------------------------- 16 n 5 10 16 n 5 10 9 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 28 n 4 n 27 n 4 n 30503257 n ((n - 1) ) (n - 4) 192673093 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 16 n 5 10 16 n 5 10 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 31 n 4 n 30 n 4 n 5 n ((n - 1) ) (n - 3) 1663 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 16 n 5 9 16 n 5 9 3 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 14143 n ((n - 1) ) (n - 3) 330763 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 16 n 5 9 16 n 5 9 18 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 705638 n ((n - 1) ) (n - 3) 18205289 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 16 n 5 9 16 n 5 9 9 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 25 n 4 n 32 n 4 n 45336907 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------- 16 n 5 9 16 n 5 9 18 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 16813952 n ((n - 1) ) (n - 3) 85481888 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 3 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 101433920 n ((n - 1) ) (n - 3) 26579456 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 4129792 n ((n - 1) ) (n - 3) 860160 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 2 n ((n - 1) ) (n - 3) 98 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 8 n 3 9 8 n 3 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 240 n ((n - 1) ) (n - 3) 28348 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 25 n 6 n 24 n 6 n 315102944 n ((n - 1) ) (n - 2) 78972832 n ((n - 1) ) (n - 2) - ---------------------------------- + --------------------------------- 22 n 7 8 22 n 7 8 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 23 n 6 n 22 n 6 n 4551552 n ((n - 1) ) (n - 2) 1453568 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 22 n 7 8 22 n 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 n 38 n 6 n 215040 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------- + ---------------------------- 22 n 7 8 22 n 7 8 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 37 n 6 n 36 n 6 n n ((n - 1) ) (n - 2) 1351 n ((n - 1) ) (n - 2) - -------------------------- + ----------------------------- 22 n 7 8 22 n 7 8 4 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 35 n 6 n 34 n 6 n 5201 n ((n - 1) ) (n - 2) 220903 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------- 22 n 7 8 22 n 7 8 54 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 33 n 6 n 32 n 6 n 858427 n ((n - 1) ) (n - 2) 10115561 n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------------- 22 n 7 8 22 n 7 8 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 31 n 6 n 30 n 6 n 5769988 n ((n - 1) ) (n - 2) 20648653 n ((n - 1) ) (n - 2) - -------------------------------- + --------------------------------- 22 n 7 8 22 n 7 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 29 n 6 n 34 n 5 n 58288550 n ((n - 1) ) (n - 2) 1783 n ((n - 1) ) (n - 3) - --------------------------------- - ----------------------------- 22 n 7 8 19 n 6 9 27 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 3) 33 n 5 n 32 n 5 n 15806 n ((n - 1) ) (n - 3) 387335 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 19 n 6 9 19 n 6 9 27 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 31 n 5 n 30 n 5 n 1742039 n ((n - 1) ) (n - 3) 7950131 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 19 n 6 9 19 n 6 9 27 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 29 n 5 n 28 n 5 n 7060244 n ((n - 1) ) (n - 3) 9897564 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 19 n 6 9 19 n 6 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 36 n 5 n 35 n 5 n n ((n - 1) ) (n - 3) 31 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 19 n 6 9 19 n 6 9 54 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 27 n 5 n 14 n n 893911096 n ((n - 1) ) (n - 3) n (n - 1) (n - 2) + ---------------------------------- - ------------------------- 19 n 6 9 5 n 2 6 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 2) 13 n n 12 n n 8 n (n - 1) (n - 2) 82 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 156 n (n - 1) (n - 2) 541 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 1164 n (n - 1) (n - 2) 13604 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 7 n n 6 n n 3232 n (n - 1) (n - 2) 320 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 6 5 n 2 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 5 n 4 n 3 n 1007840 n (n - 5) 613056 n (n - 5) 161280 n (n - 5) - ------------------- + ------------------ - ------------------ n 9 n 9 n 9 n (n - 5) n (n - 5) n (n - 5) 18 n 5 n 20 n 5 n 1474560 n ((n - 1) ) (n - 3) 2423808 n ((n - 1) ) (n - 2) - -------------------------------- - -------------------------------- 21 n 6 7 21 n 6 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 19 n 5 n 22 n 5 n 802816 n ((n - 1) ) (n - 2) 154722208 n ((n - 1) ) (n - 2) + ------------------------------- - ---------------------------------- 21 n 6 6 21 n 6 6 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 21 n 5 n 18 n 5 n 40442368 n ((n - 1) ) (n - 2) 122880 n ((n - 1) ) (n - 2) + --------------------------------- - ------------------------------- 21 n 6 6 21 n 6 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 5 n 24 n 4 n 144004000 n ((n - 1) ) (n - 2) 2546588332 n ((n - 1) ) (n - 4) + ---------------------------------- + ----------------------------------- 21 n 6 6 18 n 5 8 27 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 4) 23 n 4 n 6084624344 n ((n - 1) ) (n - 4) - ----------------------------------- 18 n 5 8 27 (n - 1) (n ) (n - 4) 22 n 4 n 35143580080 n ((n - 1) ) (n - 4) + ------------------------------------ 18 n 5 8 81 (n - 1) (n ) (n - 4) 21 n 4 n 54034536032 n ((n - 1) ) (n - 4) - ------------------------------------ 18 n 5 8 81 (n - 1) (n ) (n - 4) 20 n 4 n 21789119552 n ((n - 1) ) (n - 4) + ------------------------------------ 18 n 5 8 27 (n - 1) (n ) (n - 4) 19 n 4 n 18 n 4 n 6753612160 n ((n - 1) ) (n - 4) 516993024 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 18 n 5 8 18 n 5 8 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 248262656 n ((n - 1) ) (n - 4) 74072064 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 18 n 5 8 18 n 5 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 34 n 4 n 10321920 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------- 18 n 5 8 18 n 5 8 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 33 n 4 n 18 n 17 n 62 n ((n - 1) ) (n - 4) 7 n (n - 6) 140 n (n - 6) - --------------------------- + --------------- - ---------------- 18 n 5 8 n 12 n 12 81 (n - 1) (n ) (n - 4) 36 n (n - 6) 9 n (n - 6) 15 n 14 n 13 n 112805 n (n - 6) 3366167 n (n - 6) 17964485 n (n - 6) - ------------------- + -------------------- - --------------------- n 12 n 12 n 12 9 n (n - 6) 18 n (n - 6) 9 n (n - 6) 12 n 11 n 16 n 141582980 n (n - 6) 838213915 n (n - 6) 5110 n (n - 6) + ---------------------- - ---------------------- + ----------------- n 12 n 12 n 12 9 n (n - 6) 9 n (n - 6) 9 n (n - 6) 10 n 6 n 15017659811 n (n - 6) 26244041404 n (n - 6) + ------------------------ + ----------------------- n 12 n 12 36 n (n - 6) 3 n (n - 6) 5 n 8 n 7682111360 n (n - 6) 32183909660 n (n - 6) - ---------------------- + ----------------------- n 12 n 12 n (n - 6) 9 n (n - 6) 9 n 4 n 12706790635 n (n - 6) 4007976000 n (n - 6) - ----------------------- + ---------------------- n 12 n 12 9 n (n - 6) n (n - 6) 7 n 3 n 59800891780 n (n - 6) 931392000 n (n - 6) - ----------------------- - --------------------- n 12 n 12 9 n (n - 6) n (n - 6) 25 n 2 n 26 n 2 n 1840149 n ((n - 1) ) (n - 6) 180613 n ((n - 1) ) (n - 6) - -------------------------------- + ------------------------------- 6 n 3 16 6 n 3 16 2 (n - 1) (n ) (n - 6) 4 (n - 1) (n ) (n - 6) 24 n 2 n 1549366031 n ((n - 1) ) (n - 6) + ----------------------------------- 6 n 3 16 108 (n - 1) (n ) (n - 6) 23 n 2 n 1051526743 n ((n - 1) ) (n - 6) - ----------------------------------- 6 n 3 16 6 (n - 1) (n ) (n - 6) 22 n 2 n 122665667951 n ((n - 1) ) (n - 6) + ------------------------------------- 6 n 3 16 72 (n - 1) (n ) (n - 6) 21 n 2 n 1437723286753 n ((n - 1) ) (n - 6) - -------------------------------------- 6 n 3 16 108 (n - 1) (n ) (n - 6) 20 n 2 n 6055495223401 n ((n - 1) ) (n - 6) + -------------------------------------- 6 n 3 16 72 (n - 1) (n ) (n - 6) 19 n 2 n 1722825767273 n ((n - 1) ) (n - 6) - -------------------------------------- 6 n 3 16 4 (n - 1) (n ) (n - 6) 18 n 2 n 96494066603821 n ((n - 1) ) (n - 6) + --------------------------------------- 6 n 3 16 54 (n - 1) (n ) (n - 6) 17 n 2 n 53859873490765 n ((n - 1) ) (n - 6) - --------------------------------------- 6 n 3 16 9 (n - 1) (n ) (n - 6) 16 n 2 n 144584871679426 n ((n - 1) ) (n - 6) + ---------------------------------------- 6 n 3 16 9 (n - 1) (n ) (n - 6) 12 n 2 n 66004775199040 n ((n - 1) ) (n - 6) + --------------------------------------- 6 n 3 16 (n - 1) (n ) (n - 6) 11 n 2 n 41894180371200 n ((n - 1) ) (n - 6) - --------------------------------------- 6 n 3 16 (n - 1) (n ) (n - 6) 14 n 2 n 510305335399240 n ((n - 1) ) (n - 6) + ---------------------------------------- 6 n 3 16 9 (n - 1) (n ) (n - 6) 15 n 2 n 922973297076532 n ((n - 1) ) (n - 6) - ---------------------------------------- 6 n 3 16 27 (n - 1) (n ) (n - 6) 10 n 2 n 16277821056000 n ((n - 1) ) (n - 6) + --------------------------------------- 6 n 3 16 (n - 1) (n ) (n - 6) 13 n 2 n 214523937906832 n ((n - 1) ) (n - 6) - ---------------------------------------- 6 n 3 16 3 (n - 1) (n ) (n - 6) 9 n 2 n 29 n 2 n 2905943040000 n ((n - 1) ) (n - 6) 23 n ((n - 1) ) (n - 6) - ------------------------------------- - --------------------------- 6 n 3 16 6 n 3 16 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 6) 25 n 2 n 26 n 2 n 17957 n ((n - 1) ) (n - 5) 1609 n ((n - 1) ) (n - 5) - ------------------------------ + ----------------------------- 6 n 3 15 6 n 3 15 18 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 826787 n ((n - 1) ) (n - 5) 3473348 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 6 n 3 15 6 n 3 15 36 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 22 n 2 n 21 n 2 n 132433859 n ((n - 1) ) (n - 5) 2603379727 n ((n - 1) ) (n - 5) + ---------------------------------- - ----------------------------------- 6 n 3 15 6 n 3 15 27 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 20 n 2 n 80266310293 n ((n - 1) ) (n - 5) + ------------------------------------ 6 n 3 15 216 (n - 1) (n ) (n - 5) 19 n 2 n 81517741591 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 3 15 36 (n - 1) (n ) (n - 5) 18 n 2 n 197031950609 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 15 18 (n - 1) (n ) (n - 5) 17 n 2 n 377580815443 n ((n - 1) ) (n - 5) - ------------------------------------- 6 n 3 15 9 (n - 1) (n ) (n - 5) 16 n 2 n 3426089931818 n ((n - 1) ) (n - 5) + -------------------------------------- 6 n 3 15 27 (n - 1) (n ) (n - 5) 12 n 2 n 743187323840 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 15 (n - 1) (n ) (n - 5) 11 n 2 n 502951026944 n ((n - 1) ) (n - 5) - ------------------------------------- 6 n 3 15 (n - 1) (n ) (n - 5) 14 n 2 n 14755102926728 n ((n - 1) ) (n - 5) + --------------------------------------- 6 n 3 15 27 (n - 1) (n ) (n - 5) 15 n 2 n 8102138361260 n ((n - 1) ) (n - 5) - -------------------------------------- 6 n 3 15 27 (n - 1) (n ) (n - 5) 10 n 2 n 206705372160 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 15 (n - 1) (n ) (n - 5) 13 n 2 n 6736953815824 n ((n - 1) ) (n - 5) - -------------------------------------- 6 n 3 15 9 (n - 1) (n ) (n - 5) 9 n 2 n 24 n 2 n 38745907200 n ((n - 1) ) (n - 5) 3797 n ((n - 1) ) (n - 5) - ----------------------------------- + ----------------------------- 6 n 3 15 6 n 3 13 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 23 n 2 n 21 n 2 n 96403 n ((n - 1) ) (n - 5) 20811757 n ((n - 1) ) (n - 5) - ------------------------------ - --------------------------------- 6 n 3 13 6 n 3 13 6 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 20 n 2 n 19 n 2 n 64732733 n ((n - 1) ) (n - 5) 1382427761 n ((n - 1) ) (n - 5) + --------------------------------- - ----------------------------------- 6 n 3 13 6 n 3 13 2 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 18 n 2 n 3798344264 n ((n - 1) ) (n - 5) + ----------------------------------- 6 n 3 13 3 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 16197003394 n ((n - 1) ) (n - 5) 1666787 n ((n - 1) ) (n - 5) - ------------------------------------ + -------------------------------- 6 n 3 13 6 n 3 13 3 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 16 n 2 n 53573955968 n ((n - 1) ) (n - 5) + ------------------------------------ 6 n 3 13 3 (n - 1) (n ) (n - 5) 12 n 2 n 132908012928 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 13 (n - 1) (n ) (n - 5) 11 n 2 n 93545759232 n ((n - 1) ) (n - 5) - ------------------------------------ 6 n 3 13 (n - 1) (n ) (n - 5) 14 n 2 n 265204116352 n ((n - 1) ) (n - 5) + ------------------------------------- 6 n 3 13 3 (n - 1) (n ) (n - 5) 15 n 2 n 136618356472 n ((n - 1) ) (n - 5) - ------------------------------------- 6 n 3 13 3 (n - 1) (n ) (n - 5) 10 n 2 n 39749806080 n ((n - 1) ) (n - 5) + ------------------------------------ 6 n 3 13 (n - 1) (n ) (n - 5) 13 n 2 n 127833808544 n ((n - 1) ) (n - 5) - ------------------------------------- 6 n 3 13 (n - 1) (n ) (n - 5) 9 n 2 n 23 n n 7664025600 n ((n - 1) ) (n - 5) 107 n (n - 1) (n - 6) - ---------------------------------- + -------------------------- 6 n 3 13 3 n 2 14 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 6) 18 n 2 n 17 n 2 n 4 n ((n - 1) ) (n - 2) 104 n ((n - 1) ) (n - 2) + -------------------------- - ---------------------------- 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 392 n ((n - 1) ) (n - 2) 2528 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 3412 n ((n - 1) ) (n - 2) 8984 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 8 n 3 6 8 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 138224 n ((n - 1) ) (n - 2) 147616 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 8 n 3 6 8 n 3 6 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 29696 n ((n - 1) ) (n - 2) 2560 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 8 n 3 6 8 n 3 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n n 15 n n 7 n (n - 1) (n - 3) 224 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n n 15 n 14 n 350 n (n - 1) (n - 3) 224 n (n - 5) 12887 n (n - 5) - ------------------------- - ---------------- + ------------------ 5 n 2 7 n 11 n 11 (n - 1) (n ) (n - 3) 3 n (n - 5) 6 n (n - 5) 13 n 12 n 11 n 110194 n (n - 5) 832447 n (n - 5) 3296524 n (n - 5) - ------------------- + ------------------- - -------------------- n 11 n 11 n 11 3 n (n - 5) 2 n (n - 5) n (n - 5) 16 n 10 n 6 n 7 n (n - 5) 112511861 n (n - 5) 738158792 n (n - 5) + -------------- + ---------------------- + --------------------- n 11 n 11 n 11 6 n (n - 5) 6 n (n - 5) n (n - 5) 5 n 8 n 9 n 717604608 n (n - 5) 696250016 n (n - 5) 232406482 n (n - 5) - --------------------- + --------------------- - --------------------- n 11 n 11 n 11 n (n - 5) 3 n (n - 5) 3 n (n - 5) 4 n 7 n 3 n 407675520 n (n - 5) 1491224504 n (n - 5) 101606400 n (n - 5) + --------------------- - ---------------------- - --------------------- n 11 n 11 n 11 n (n - 5) 3 n (n - 5) n (n - 5) 10 n n 6 n n 994412502272 n (n - 1) (n - 5) 5960908800 n (n - 1) (n - 5) - ---------------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n n 25 n n 55483 n (n - 1) (n - 7) 164447 n (n - 1) (n - 7) - --------------------------- + ---------------------------- 5 n 2 15 5 n 2 15 2 (n - 1) (n ) (n - 7) 162 (n - 1) (n ) (n - 7) 23 n n 22 n n 15213587 n (n - 1) (n - 7) 1430584763 n (n - 1) (n - 7) + ------------------------------ - -------------------------------- 5 n 2 15 5 n 2 15 27 (n - 1) (n ) (n - 7) 162 (n - 1) (n ) (n - 7) 21 n n 20 n n 8863919651 n (n - 1) (n - 7) 353170427501 n (n - 1) (n - 7) + -------------------------------- - ---------------------------------- 5 n 2 15 5 n 2 15 81 (n - 1) (n ) (n - 7) 324 (n - 1) (n ) (n - 7) 18 n n 6314863338277 n (n - 1) (n - 7) - ----------------------------------- 5 n 2 15 108 (n - 1) (n ) (n - 7) 17 n n 17189212215929 n (n - 1) (n - 7) + ------------------------------------ 5 n 2 15 54 (n - 1) (n ) (n - 7) 16 n n 115446247013659 n (n - 1) (n - 7) - ------------------------------------- 5 n 2 15 81 (n - 1) (n ) (n - 7) 15 n n 424418084250926 n (n - 1) (n - 7) + ------------------------------------- 5 n 2 15 81 (n - 1) (n ) (n - 7) 14 n n 1275350762076404 n (n - 1) (n - 7) - -------------------------------------- 5 n 2 15 81 (n - 1) (n ) (n - 7) 19 n n 1429558347407 n (n - 1) (n - 7) + ----------------------------------- 5 n 2 15 162 (n - 1) (n ) (n - 7) 13 n n 3108232908804616 n (n - 1) (n - 7) + -------------------------------------- 5 n 2 15 81 (n - 1) (n ) (n - 7) 9 n n 118947187060736 n (n - 1) (n - 7) + ------------------------------------ 5 n 2 15 (n - 1) (n ) (n - 7) 8 n n 72006994821120 n (n - 1) (n - 7) - ----------------------------------- 5 n 2 15 (n - 1) (n ) (n - 7) 11 n n 1038057120844064 n (n - 1) (n - 7) + -------------------------------------- 5 n 2 15 9 (n - 1) (n ) (n - 7) 12 n n 2023873065519728 n (n - 1) (n - 7) - -------------------------------------- 5 n 2 15 27 (n - 1) (n ) (n - 7) 7 n n 26896923648000 n (n - 1) (n - 7) + ----------------------------------- 5 n 2 15 (n - 1) (n ) (n - 7) 10 n n 408838051607552 n (n - 1) (n - 7) - ------------------------------------- 5 n 2 15 3 (n - 1) (n ) (n - 7) 6 n n 30 n 4 n 4649508864000 n (n - 1) (n - 7) 1469173 n ((n - 1) ) (n - 4) - ---------------------------------- + -------------------------------- 5 n 2 15 12 n 5 14 (n - 1) (n ) (n - 7) 648 (n - 1) (n ) (n - 4) 29 n 4 n 28 n 4 n 10747441 n ((n - 1) ) (n - 4) 19766335 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 12 n 5 14 12 n 5 14 324 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 27 n 4 n 26 n 4 n 12464075 n ((n - 1) ) (n - 4) 2989092197 n ((n - 1) ) (n - 4) - --------------------------------- + ----------------------------------- 12 n 5 14 12 n 5 14 4 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 25 n 4 n 12 n 11 n 35361163409 n ((n - 1) ) (n - 4) 7 n (n - 3) 133 n (n - 3) - ------------------------------------ + -------------- - ---------------- 12 n 5 14 n 9 n 9 324 (n - 1) (n ) (n - 4) 36 n (n - 3) 18 n (n - 3) 10 n 9 n 8 n 721 n (n - 3) 3283 n (n - 3) 73549 n (n - 3) + ---------------- - ---------------- + ----------------- n 9 n 9 n 9 6 n (n - 3) 3 n (n - 3) 12 n (n - 3) 7 n 6 n 5 n 130879 n (n - 3) 442211 n (n - 3) 605206 n (n - 3) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 6 n (n - 3) 9 n (n - 3) 9 n (n - 3) 4 n 3 n 4 n 50456 n (n - 3) 15680 n (n - 3) 6960974420736000 n (n - 8) + ----------------- - ----------------- + ---------------------------- n 9 n 9 n 18 n (n - 3) n (n - 3) n (n - 8) 7 n 3 n 22170581095340624 n (n - 8) 1383228887040000 n (n - 8) - ----------------------------- - ---------------------------- n 18 n 18 n (n - 8) n (n - 8) 21 n 22 n 19 n 14315 n (n - 7) 11375 n (n - 7) 1759611 n (n - 7) - ------------------ + ------------------ - -------------------- n 17 n 17 n 17 6 n (n - 7) 216 n (n - 7) n (n - 7) 20 n 23 n 24 n 2710841 n (n - 7) 13 n (n - 7) n (n - 7) + -------------------- - --------------- + ---------------- n 17 n 17 n 17 36 n (n - 7) 18 n (n - 7) 216 n (n - 7) 18 n 17 n 3410929895 n (n - 7) 4012416245 n (n - 7) + ----------------------- - ----------------------- n 17 n 17 108 n (n - 7) 9 n (n - 7) 16 n 15 n 1085805063581 n (n - 7) 274362357451 n (n - 7) + -------------------------- - ------------------------- n 17 n 17 216 n (n - 7) 6 n (n - 7) 14 n 13 n 24300874309985 n (n - 7) 4052032185565 n (n - 7) + --------------------------- - -------------------------- n 17 n 17 72 n (n - 7) 2 n (n - 7) 12 n 11 n 533646876597799 n (n - 7) 351100653030374 n (n - 7) + ---------------------------- - ---------------------------- n 17 n 17 54 n (n - 7) 9 n (n - 7) 10 n 6 n 3339719872852090 n (n - 7) 993003699173760 n (n - 7) + ----------------------------- + --------------------------- n 17 n 17 27 n (n - 7) n (n - 7) 5 n 8 n 741371413132800 n (n - 7) 611013623414936 n (n - 7) - --------------------------- + --------------------------- n 17 n 17 n (n - 7) n (n - 7) 9 n 4 n 311301150573560 n (n - 7) 336907759104000 n (n - 7) - --------------------------- + --------------------------- n 17 n 17 n (n - 7) n (n - 7) 7 n 3 n 911344759485216 n (n - 7) 69742632960000 n (n - 7) - --------------------------- - -------------------------- n 17 n 17 n (n - 7) n (n - 7) 22 n n 21 n n n (n - 1) (n - 4) 20 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 5 n 2 12 5 n 2 12 324 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 20 n n 24 n n 1463 n (n - 1) (n - 4) 7 n (n - 1) (n - 5) - ---------------------------- - ---------------------------- 5 n 2 12 5 n 2 13 162 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 5) 23 n n 22 n n 56 n (n - 1) (n - 5) 4963 n (n - 1) (n - 5) + --------------------------- - --------------------------- 5 n 2 13 5 n 2 13 27 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 21 n n 20 n n 134827 n (n - 1) (n - 5) 419230 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 5 n 2 13 5 n 2 13 54 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 18 n n 17 n n 1054318643 n (n - 1) (n - 5) 2787269849 n (n - 1) (n - 5) - -------------------------------- + -------------------------------- 5 n 2 13 5 n 2 13 162 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 16 n n 15 n n 34593730171 n (n - 1) (n - 5) 84592889381 n (n - 1) (n - 5) - --------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 108 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 14 n n 19 n n 6050459506 n (n - 1) (n - 5) 34211359 n (n - 1) (n - 5) - -------------------------------- + ------------------------------ 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 13 n n 9 n n 496941957148 n (n - 1) (n - 5) 331800157696 n (n - 1) (n - 5) + ---------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 27 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 11 n n 75582560256 n (n - 1) (n - 5) 721121079448 n (n - 1) (n - 5) - -------------------------------- + ---------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 3543818548564 n (n - 1) (n - 5) 31413258240 n (n - 1) (n - 5) - ----------------------------------- + -------------------------------- 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n 8 28 n 2 n 28672 n ((n - 1) ) n ((n - 1) ) (n - 5) - --------------------- + ---------------------------- 32 n 8 6 n 3 15 (n - 1) (n ) 216 (n - 1) (n ) (n - 5) 27 n 2 n 24 n n 59 n ((n - 1) ) (n - 5) 8599 n (n - 1) (n - 6) - ---------------------------- - ---------------------------- 6 n 3 15 3 n 2 16 108 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 6) 25 n n 22 n n 34 n (n - 1) (n - 6) 1513565 n (n - 1) (n - 6) + --------------------------- - ----------------------------- 3 n 2 16 3 n 2 16 27 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 6) 23 n n 21 n n 27988 n (n - 1) (n - 6) 15047776 n (n - 1) (n - 6) + --------------------------- + ------------------------------ 3 n 2 16 3 n 2 16 9 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 20 n n 19 n n 1368792719 n (n - 1) (n - 6) 8094947968 n (n - 1) (n - 6) - -------------------------------- + -------------------------------- 3 n 2 16 3 n 2 16 54 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 18 n n 17 n n 303237420109 n (n - 1) (n - 6) 189080977774 n (n - 1) (n - 6) - ---------------------------------- + ---------------------------------- 3 n 2 16 3 n 2 16 108 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 16 n n 4542847401209 n (n - 1) (n - 6) - ----------------------------------- 3 n 2 16 36 (n - 1) (n ) (n - 6) 15 n n 5481292252124 n (n - 1) (n - 6) + ----------------------------------- 3 n 2 16 9 (n - 1) (n ) (n - 6) 14 n n 63606313091077 n (n - 1) (n - 6) - ------------------------------------ 3 n 2 16 27 (n - 1) (n ) (n - 6) 13 n n 195946614762436 n (n - 1) (n - 6) + ------------------------------------- 3 n 2 16 27 (n - 1) (n ) (n - 6) 9 n n 48763897397440 n (n - 1) (n - 6) + ----------------------------------- 3 n 2 16 (n - 1) (n ) (n - 6) 8 n n 34481755603200 n (n - 1) (n - 6) - ----------------------------------- 3 n 2 16 (n - 1) (n ) (n - 6) 11 n n 13 n n 298238197683232 n (n - 1) (n - 6) 4360130225 n (n - 1) (n - 4) + ------------------------------------- + -------------------------------- 3 n 2 16 5 n 2 12 9 (n - 1) (n ) (n - 6) 162 (n - 1) (n ) (n - 4) 9 n n 8 n n 786641080 n (n - 1) (n - 4) 586157248 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 11 n n 12 n n 12464402260 n (n - 1) (n - 4) 5991724802 n (n - 1) (n - 4) + --------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 7 n n 18 n n 87578240 n (n - 1) (n - 4) 244258 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 19 n n 17 n n 32455 n (n - 1) (n - 4) 5287915 n (n - 1) (n - 4) + ---------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 15 n n 14 n n 259739645 n (n - 1) (n - 4) 2428307783 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 16 n n 10 n n 42561541 n (n - 1) (n - 4) 6408855332 n (n - 1) (n - 4) - ------------------------------ - -------------------------------- 5 n 2 12 5 n 2 12 162 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 6 n n 25 n n 17740800 n (n - 1) (n - 4) 19 n (n - 1) (n - 6) - ----------------------------- + -------------------------- 5 n 2 12 5 n 2 14 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 6) 24 n n 26 n n 6047 n (n - 1) (n - 6) n (n - 1) (n - 6) - --------------------------- - --------------------------- 5 n 2 14 5 n 2 14 54 (n - 1) (n ) (n - 6) 54 (n - 1) (n ) (n - 6) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 4) 82 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 8 n 3 12 8 n 3 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 3086 n ((n - 1) ) (n - 4) 70762 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 8 n 3 12 8 n 3 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 28 n 2 n 27 n 2 n n ((n - 1) ) (n - 5) 98 n ((n - 1) ) (n - 5) + --------------------------- - --------------------------- 8 n 3 13 8 n 3 13 27 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 26 n 2 n 25 n 2 n 494 n ((n - 1) ) (n - 5) 13786 n ((n - 1) ) (n - 5) + ---------------------------- - ------------------------------ 8 n 3 13 8 n 3 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 795724 n ((n - 1) ) (n - 5) 11212034 n ((n - 1) ) (n - 5) + ------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 9 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 21 n 2 n 2991556238 n ((n - 1) ) (n - 5) - ----------------------------------- 8 n 3 13 27 (n - 1) (n ) (n - 5) 20 n 2 n 2178229027 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 13 3 (n - 1) (n ) (n - 5) 19 n 2 n 3783702208 n ((n - 1) ) (n - 5) - ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 5) 18 n 2 n 141688740596 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 13 9 (n - 1) (n ) (n - 5) 17 n 2 n 470666725984 n ((n - 1) ) (n - 5) - ------------------------------------- 8 n 3 13 9 (n - 1) (n ) (n - 5) 22 n 2 n 359881942 n ((n - 1) ) (n - 5) + ---------------------------------- 8 n 3 13 27 (n - 1) (n ) (n - 5) 16 n 2 n 3728840166544 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 13 27 (n - 1) (n ) (n - 5) 12 n 2 n 508770283520 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 13 (n - 1) (n ) (n - 5) 11 n 2 n 312991506432 n ((n - 1) ) (n - 5) - ------------------------------------- 8 n 3 13 (n - 1) (n ) (n - 5) 14 n 2 n 1392374092096 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 13 3 (n - 1) (n ) (n - 5) 15 n 2 n 7758701035520 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 13 27 (n - 1) (n ) (n - 5) 10 n 2 n 117921300480 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 13 (n - 1) (n ) (n - 5) 13 n 2 n 30 n 4 n 1705271701504 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 3) - -------------------------------------- + ---------------------------- 8 n 3 13 12 n 5 11 3 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 65 n ((n - 1) ) (n - 3) 955 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 12 n 5 11 12 n 5 11 36 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 5605 n ((n - 1) ) (n - 3) 396553 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 12 n 5 11 12 n 5 11 6 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 2 n ((n - 1) ) (n - 3) 106 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 2560 n ((n - 1) ) (n - 3) 12460 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 369146 n ((n - 1) ) (n - 3) 2612522 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 14 n 5 9 14 n 5 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 1817 n ((n - 1) ) (n - 4) 31847 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 11 n 4 10 11 n 4 10 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 24 n 3 n 20 n 3 n 126573 n ((n - 1) ) (n - 4) 386071324 n ((n - 1) ) (n - 4) - ------------------------------- - ---------------------------------- 11 n 4 10 11 n 4 10 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 1122795268 n ((n - 1) ) (n - 4) 838208624 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 11 n 4 10 11 n 4 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n 3 n 4291624880 n ((n - 1) ) (n - 4) + ----------------------------------- 11 n 4 10 3 (n - 1) (n ) (n - 4) 16 n 3 n 1823776192 n ((n - 1) ) (n - 4) - ----------------------------------- 11 n 4 10 (n - 1) (n ) (n - 4) 15 n 3 n 1678697280 n ((n - 1) ) (n - 4) + ----------------------------------- 11 n 4 10 (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 1051637760 n ((n - 1) ) (n - 4) 400315392 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 11 n 4 10 11 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 20 n n n ((n - 1) ) (n - 2) 7 n (n - 1) (n - 4) + --------------------------- - --------------------------- 10 n 3 6 5 n 2 10 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 4) 19 n n 18 n n 413 n (n - 1) (n - 4) 11039 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 14 n n 13 n n 81049157 n (n - 1) (n - 4) 335555563 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 12 n n 11 n n 518040194 n (n - 1) (n - 4) 1186511536 n (n - 1) (n - 4) - ------------------------------- + -------------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 10 n n 9 n n 660994544 n (n - 1) (n - 4) 260300712 n (n - 1) (n - 4) - ------------------------------- + ------------------------------ 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 205209984 n (n - 1) (n - 4) 96437376 n (n - 1) (n - 4) - ------------------------------ + ----------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 17 n n 20321280 n (n - 1) (n - 4) 177121 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 16 n n 15 n n 635131 n (n - 1) (n - 4) 4844749 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 6 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 21 n n 20 n n 73 n (n - 1) (n - 5) 2443 n (n - 1) (n - 5) + -------------------------- - -------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 22 n n 35 n 6 n n (n - 1) (n - 5) 14918 n ((n - 1) ) (n - 2) - -------------------------- - ------------------------------ 5 n 2 11 24 n 7 6 3 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 2) 34 n 6 n 33 n 6 n 143659 n ((n - 1) ) (n - 2) 1018700 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 24 n 7 6 24 n 7 6 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 32 n 6 n 21 n n 5507597 n ((n - 1) ) (n - 2) 5158 n (n - 1) (n - 6) + -------------------------------- + -------------------------- 24 n 7 6 5 n 2 12 81 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 6) 20 n n 18 n n 269957 n (n - 1) (n - 6) 99923096 n (n - 1) (n - 6) - ---------------------------- - ------------------------------ 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 17 n n 16 n n 748551814 n (n - 1) (n - 6) 2935361011 n (n - 1) (n - 6) + ------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 6) 6 (n - 1) (n ) (n - 6) 15 n n 14 n n 4551624033 n (n - 1) (n - 6) 25169233153 n (n - 1) (n - 6) + -------------------------------- - --------------------------------- 5 n 2 12 5 n 2 12 2 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 19 n n 13 n n 3444553 n (n - 1) (n - 6) 73327485152 n (n - 1) (n - 6) + ----------------------------- + --------------------------------- 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 9 n n 8 n n 127625829312 n (n - 1) (n - 6) 84845879040 n (n - 1) (n - 6) + --------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 6) (n - 1) (n ) (n - 6) 11 n n 12 n n 887132896648 n (n - 1) (n - 6) 502481364752 n (n - 1) (n - 6) + ---------------------------------- - ---------------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 6) 7 n n 10 n n 34402176000 n (n - 1) (n - 6) 394340898704 n (n - 1) (n - 6) + -------------------------------- - ---------------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 6) 3 (n - 1) (n ) (n - 6) 6 n n 25 n 4 n 6386688000 n (n - 1) (n - 6) 3315817 n ((n - 1) ) (n - 3) - ------------------------------- - -------------------------------- 5 n 2 12 12 n 5 11 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 5076940 n ((n - 1) ) (n - 3) 23194270 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 12 n 5 11 12 n 5 11 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 79723204 n ((n - 1) ) (n - 3) 22919776 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 12 n 5 11 12 n 5 11 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 398759600 n ((n - 1) ) (n - 3) 565955360 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 12 n 5 11 12 n 5 11 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 571208320 n ((n - 1) ) (n - 3) 43019712 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 12 n 5 11 12 n 5 11 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 17511680 n ((n - 1) ) (n - 3) 3225600 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 12 n 5 11 12 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 1738808764 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 4 12 3 (n - 1) (n ) (n - 4) 15 n 3 n 12135922240 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 4 12 3 (n - 1) (n ) (n - 4) 14 n 3 n 2766257792 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 4 12 (n - 1) (n ) (n - 4) 17 n 3 n 25348621232 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 4 12 9 (n - 1) (n ) (n - 4) 18 n 3 n 13237215848 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 4 12 9 (n - 1) (n ) (n - 4) 13 n 3 n 24 n 3 n 1139642880 n ((n - 1) ) (n - 4) 816169 n ((n - 1) ) (n - 4) + ----------------------------------- - ------------------------------- 9 n 4 12 9 n 4 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 25 n 3 n 23 n 3 n 19039 n ((n - 1) ) (n - 4) 8345011 n ((n - 1) ) (n - 4) + ------------------------------ + -------------------------------- 9 n 4 12 9 n 4 12 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 360256831 n ((n - 1) ) (n - 4) 1567414354 n ((n - 1) ) (n - 4) + ---------------------------------- - ----------------------------------- 9 n 4 12 9 n 4 12 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 22 n 3 n 16 n 3 n 63125425 n ((n - 1) ) (n - 4) 35917358176 n ((n - 1) ) (n - 4) - --------------------------------- - ------------------------------------ 9 n 4 12 9 n 4 12 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n 3 n 18 n 2 n 212889600 n ((n - 1) ) (n - 4) 10101053 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 9 n 4 12 10 n 3 9 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 21554153 n ((n - 1) ) (n - 3) 17535424 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 108 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 43501718 n ((n - 1) ) (n - 3) 81569338 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 113472404 n ((n - 1) ) (n - 3) 37761328 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 2835136 n ((n - 1) ) (n - 3) 1157888 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 17 n 2 n 215040 n ((n - 1) ) (n - 3) 11183685485 n ((n - 1) ) (n - 4) - ------------------------------ - ------------------------------------ 10 n 3 9 10 n 3 10 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 4) 16 n 2 n 7539324814 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 10 27 (n - 1) (n ) (n - 4) 15 n 2 n 15867955922 n ((n - 1) ) (n - 4) - ------------------------------------ 10 n 3 10 27 (n - 1) (n ) (n - 4) 14 n 2 n 2860141634 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 10 3 (n - 1) (n ) (n - 4) 13 n 2 n 3499775524 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 10 3 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1039244528 n ((n - 1) ) (n - 4) 634608576 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 9 n 2 n 236904192 n ((n - 1) ) (n - 4) 40642560 n ((n - 1) ) (n - 4) + ---------------------------------- - -------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 132824251 n ((n - 1) ) (n - 4) 744308915 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 10 n 3 10 10 n 3 10 108 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 18 n 2 n 10 n 9 n 6512180465 n ((n - 1) ) (n - 4) 7 n (n - 3) 161 n (n - 3) + ----------------------------------- + -------------- - --------------- 10 n 3 10 n 7 n 7 216 (n - 1) (n ) (n - 4) 6 n (n - 3) 6 n (n - 3) 8 n 7 n 6 n 1519 n (n - 3) 7595 n (n - 3) 10829 n (n - 3) + ---------------- - ---------------- + ----------------- n 7 n 7 n 7 6 n (n - 3) 6 n (n - 3) 3 n (n - 3) 5 n 4 n 3 n 17542 n (n - 3) 4956 n (n - 3) 1680 n (n - 3) - ----------------- + ---------------- - ---------------- n 7 n 7 n 7 3 n (n - 3) n (n - 3) n (n - 3) 28 n 3 n 29 n 3 n 898615 n ((n - 1) ) (n - 5) 57089 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------ 9 n 4 15 9 n 4 15 54 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 27 n 3 n 26 n 3 n 2591161 n ((n - 1) ) (n - 5) 306547894 n ((n - 1) ) (n - 5) + -------------------------------- - ---------------------------------- 9 n 4 15 9 n 4 15 9 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 25 n 3 n 348123907 n ((n - 1) ) (n - 5) + ---------------------------------- 9 n 4 15 9 (n - 1) (n ) (n - 5) 24 n 3 n 33697782703 n ((n - 1) ) (n - 5) - ------------------------------------ 9 n 4 15 108 (n - 1) (n ) (n - 5) 23 n 3 n 162409767533 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 4 15 81 (n - 1) (n ) (n - 5) 22 n 3 n 30949965800 n ((n - 1) ) (n - 5) - ------------------------------------ 9 n 4 15 3 (n - 1) (n ) (n - 5) 21 n 3 n 383075177368 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 4 15 9 (n - 1) (n ) (n - 5) 20 n 3 n 11383149648952 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 4 15 81 (n - 1) (n ) (n - 5) 19 n 3 n 9969545483264 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 4 15 27 (n - 1) (n ) (n - 5) 15 n 3 n 1326217116416 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 4 15 (n - 1) (n ) (n - 5) 14 n 3 n 2425214852096 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 4 15 3 (n - 1) (n ) (n - 5) 17 n 3 n 99442134601856 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 4 15 81 (n - 1) (n ) (n - 5) 18 n 3 n 20639586432832 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 4 15 27 (n - 1) (n ) (n - 5) 13 n 3 n 301437767680 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 4 15 (n - 1) (n ) (n - 5) 16 n 3 n 40325187092416 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 4 15 27 (n - 1) (n ) (n - 5) 12 n 3 n 31 n 3 n 51661209600 n ((n - 1) ) (n - 5) 10 n ((n - 1) ) (n - 5) - ------------------------------------ + --------------------------- 9 n 4 15 9 n 4 15 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 30 n 3 n 32 n 3 n 556 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 5) - ---------------------------- - ---------------------------- 9 n 4 15 9 n 4 15 27 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 33 n 4 n 32 n 4 n 86 n ((n - 1) ) (n - 4) 3418 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 14 n 5 12 14 n 5 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 31 n 4 n 30 n 4 n 83434 n ((n - 1) ) (n - 4) 1402244 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 14 n 5 12 14 n 5 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 29 n 4 n 34 n 4 n 17240350 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - --------------------------------- + ---------------------------- 14 n 5 12 14 n 5 12 81 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 1636498 n ((n - 1) ) (n - 6) 28223336 n ((n - 1) ) (n - 6) + -------------------------------- - --------------------------------- 8 n 3 14 8 n 3 14 27 (n - 1) (n ) (n - 6) 27 (n - 1) (n ) (n - 6) 24 n 2 n 1120497958 n ((n - 1) ) (n - 6) + ----------------------------------- 8 n 3 14 81 (n - 1) (n ) (n - 6) 23 n 2 n 11655777824 n ((n - 1) ) (n - 6) - ------------------------------------ 8 n 3 14 81 (n - 1) (n ) (n - 6) 21 n 2 n 649484217460 n ((n - 1) ) (n - 6) - ------------------------------------- 8 n 3 14 81 (n - 1) (n ) (n - 6) 20 n 2 n 1179403158557 n ((n - 1) ) (n - 6) + -------------------------------------- 8 n 3 14 27 (n - 1) (n ) (n - 6) 19 n 2 n 5234529848392 n ((n - 1) ) (n - 6) - -------------------------------------- 8 n 3 14 27 (n - 1) (n ) (n - 6) 18 n 2 n 56774147785900 n ((n - 1) ) (n - 6) + --------------------------------------- 8 n 3 14 81 (n - 1) (n ) (n - 6) 17 n 2 n 166657835600192 n ((n - 1) ) (n - 6) - ---------------------------------------- 8 n 3 14 81 (n - 1) (n ) (n - 6) 22 n 2 n 96844399757 n ((n - 1) ) (n - 6) + ------------------------------------ 8 n 3 14 81 (n - 1) (n ) (n - 6) 16 n 2 n 394562596293584 n ((n - 1) ) (n - 6) + ---------------------------------------- 8 n 3 14 81 (n - 1) (n ) (n - 6) 12 n 2 n 38821836845056 n ((n - 1) ) (n - 6) + --------------------------------------- 8 n 3 14 3 (n - 1) (n ) (n - 6) 11 n 2 n 7495822909440 n ((n - 1) ) (n - 6) - -------------------------------------- 8 n 3 14 (n - 1) (n ) (n - 6) 14 n 2 n 122725517463872 n ((n - 1) ) (n - 6) + ---------------------------------------- 8 n 3 14 9 (n - 1) (n ) (n - 6) 15 n 2 n 745227615541888 n ((n - 1) ) (n - 6) - ---------------------------------------- 8 n 3 14 81 (n - 1) (n ) (n - 6) 10 n 2 n 2677585920000 n ((n - 1) ) (n - 6) + -------------------------------------- 8 n 3 14 (n - 1) (n ) (n - 6) 13 n 2 n 139255230427136 n ((n - 1) ) (n - 6) - ---------------------------------------- 8 n 3 14 9 (n - 1) (n ) (n - 6) 9 n 2 n 442810368000 n ((n - 1) ) (n - 6) - ------------------------------------ 8 n 3 14 (n - 1) (n ) (n - 6) 22 n 4 n 733416792320 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 5 12 81 (n - 1) (n ) (n - 4) 18 n 4 n 59826585344 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 5 12 3 (n - 1) (n ) (n - 4) 17 n 4 n 32645636096 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 5 12 3 (n - 1) (n ) (n - 4) 20 n 4 n 1894784442752 n ((n - 1) ) (n - 4) + -------------------------------------- 14 n 5 12 81 (n - 1) (n ) (n - 4) 21 n 4 n 1336421322688 n ((n - 1) ) (n - 4) - -------------------------------------- 14 n 5 12 81 (n - 1) (n ) (n - 4) 16 n 4 n 27 n 4 n 3654062080 n ((n - 1) ) (n - 4) 43146074 n ((n - 1) ) (n - 4) + ----------------------------------- - --------------------------------- 14 n 5 12 14 n 5 12 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 28 n 4 n 26 n 4 n 53607242 n ((n - 1) ) (n - 4) 739029683 n ((n - 1) ) (n - 4) + --------------------------------- + ---------------------------------- 14 n 5 12 14 n 5 12 27 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 24 n 4 n 109583989624 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 5 12 81 (n - 1) (n ) (n - 4) 23 n 4 n 317728591952 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 5 12 81 (n - 1) (n ) (n - 4) 25 n 4 n 30204843284 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 5 12 81 (n - 1) (n ) (n - 4) 19 n 4 n 680980732672 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 5 12 27 (n - 1) (n ) (n - 4) 15 n 4 n 36 n 5 n 567705600 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 3) - ---------------------------------- - ----------------------------- 14 n 5 12 17 n 6 11 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 3) 35 n 5 n 34 n 5 n 37 n ((n - 1) ) (n - 3) 2521 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 17 n 6 11 17 n 6 11 162 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 33 n 5 n 32 n 5 n 26267 n ((n - 1) ) (n - 3) 750443 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 17 n 6 11 17 n 6 11 162 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 31 n 5 n 30 n 5 n 3902507 n ((n - 1) ) (n - 3) 20422537 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 17 n 6 11 17 n 6 11 162 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 29 n 5 n 28 n 5 n 6875471 n ((n - 1) ) (n - 3) 16309888 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 17 n 6 11 17 n 6 11 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 27 n 5 n 1648684400 n ((n - 1) ) (n - 3) + ----------------------------------- 17 n 6 11 81 (n - 1) (n ) (n - 3) 26 n 5 n 4884727240 n ((n - 1) ) (n - 3) - ----------------------------------- 17 n 6 11 81 (n - 1) (n ) (n - 3) 25 n 5 n 11431376240 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 6 11 81 (n - 1) (n ) (n - 3) 24 n 5 n 20983227776 n ((n - 1) ) (n - 3) - ------------------------------------ 17 n 6 11 81 (n - 1) (n ) (n - 3) 23 n 5 n 29813122048 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 6 11 81 (n - 1) (n ) (n - 3) 22 n 5 n 32076546752 n ((n - 1) ) (n - 3) - ------------------------------------ 17 n 6 11 81 (n - 1) (n ) (n - 3) 21 n 5 n 8407696256 n ((n - 1) ) (n - 3) + ----------------------------------- 17 n 6 11 27 (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 1516807168 n ((n - 1) ) (n - 3) 168048640 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 17 n 6 11 17 n 6 11 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 5 n 12 n n 8601600 n ((n - 1) ) (n - 3) 475616000551684 n (n - 1) (n - 6) - -------------------------------- - ------------------------------------- 17 n 6 11 3 n 2 16 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 6) 7 n n 14824849536000 n (n - 1) (n - 6) + ----------------------------------- 3 n 2 16 (n - 1) (n ) (n - 6) 10 n n 141378091810672 n (n - 1) (n - 6) - ------------------------------------- 3 n 2 16 3 (n - 1) (n ) (n - 6) 6 n n 26 n n 2905943040000 n (n - 1) (n - 6) n (n - 1) (n - 6) - ---------------------------------- - ---------------------------- 3 n 2 16 3 n 2 16 (n - 1) (n ) (n - 6) 108 (n - 1) (n ) (n - 6) 22 n n 23 n n 517 n (n - 1) (n - 5) 29 n (n - 1) (n - 5) - --------------------------- + --------------------------- 3 n 2 15 3 n 2 15 27 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 21 n n 20 n n 5641 n (n - 1) (n - 5) 759095 n (n - 1) (n - 5) + -------------------------- - ---------------------------- 3 n 2 15 3 n 2 15 9 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 19 n n 18 n n 6187601 n (n - 1) (n - 5) 227742112 n (n - 1) (n - 5) + ----------------------------- - ------------------------------- 3 n 2 15 3 n 2 15 27 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 17 n n 16 n n 2147895503 n (n - 1) (n - 5) 21027715423 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 3 n 2 15 3 n 2 15 81 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 15 n n 14 n n 10081671028 n (n - 1) (n - 5) 136541924441 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 3 n 2 15 3 n 2 15 9 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 13 n n 9 n n 482077782004 n (n - 1) (n - 5) 538544915008 n (n - 1) (n - 5) + ---------------------------------- + --------------------------------- 3 n 2 15 3 n 2 15 27 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 11 n n 409284817664 n (n - 1) (n - 5) 8284850379296 n (n - 1) (n - 5) - --------------------------------- + ----------------------------------- 3 n 2 15 3 n 2 15 3 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 5) 12 n n 7 n n 3959713171612 n (n - 1) (n - 5) 62444139520 n (n - 1) (n - 5) - ----------------------------------- + -------------------------------- 3 n 2 15 3 n 2 15 81 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 4313501698288 n (n - 1) (n - 5) 12915302400 n (n - 1) (n - 5) - ----------------------------------- - -------------------------------- 3 n 2 15 3 n 2 15 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 24 n n 22 n 3 n n (n - 1) (n - 5) 2 n ((n - 1) ) (n - 2) - ---------------------------- - -------------------------- 3 n 2 15 11 n 4 6 324 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 56 n ((n - 1) ) (n - 2) 692 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 1656 n ((n - 1) ) (n - 2) 7646 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 23712 n ((n - 1) ) (n - 2) 149968 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 212032 n ((n - 1) ) (n - 2) 192160 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 11 n 4 6 11 n 4 6 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 33536 n ((n - 1) ) (n - 2) 7680 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 11 n 4 6 11 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n 4 n ((n - 1) ) (n - 3) 136 n ((n - 1) ) (n - 3) + -------------------------- - ---------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 2056 n ((n - 1) ) (n - 3) 6080 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 35164 n ((n - 1) ) (n - 3) 139176 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1153568 n ((n - 1) ) (n - 3) 2223680 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 2928704 n ((n - 1) ) (n - 3) 835712 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 8 n 3 7 8 n 3 7 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 417792 n ((n - 1) ) (n - 3) 92160 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n n 21 n n n (n - 1) (n - 5) 89 n (n - 1) (n - 5) - -------------------------- + -------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 20 n n 18 n n 3619 n (n - 1) (n - 5) 1488457 n (n - 1) (n - 5) - -------------------------- - ----------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 17 n n 16 n n 17834843 n (n - 1) (n - 5) 158528513 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 15 n n 14 n n 1065370735 n (n - 1) (n - 5) 5465947058 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 19 n n 13 n n 89165 n (n - 1) (n - 5) 21462112672 n (n - 1) (n - 5) + --------------------------- + --------------------------------- 3 n 2 13 3 n 2 13 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 95114581632 n (n - 1) (n - 5) 75586862592 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 3 n 2 13 3 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 2 n 1245623984 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 11 3 (n - 1) (n ) (n - 5) 17 n 2 n 22 n 2 n 4595430488 n ((n - 1) ) (n - 5) 175334 n ((n - 1) ) (n - 5) - ----------------------------------- + ------------------------------- 8 n 3 11 8 n 3 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 16 n 2 n 4420071360 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 11 (n - 1) (n ) (n - 5) 12 n 2 n 20766660096 n ((n - 1) ) (n - 5) + ------------------------------------ 8 n 3 11 (n - 1) (n ) (n - 5) 11 n 2 n 13314103296 n ((n - 1) ) (n - 5) - ------------------------------------ 8 n 3 11 (n - 1) (n ) (n - 5) 14 n 2 n 153768001280 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 11 9 (n - 1) (n ) (n - 5) 15 n 2 n 29751703712 n ((n - 1) ) (n - 5) - ------------------------------------ 8 n 3 11 3 (n - 1) (n ) (n - 5) 10 n 2 n 5198192640 n ((n - 1) ) (n - 5) + ----------------------------------- 8 n 3 11 (n - 1) (n ) (n - 5) 13 n 2 n 9 n 2 n 66354457216 n ((n - 1) ) (n - 5) 928972800 n ((n - 1) ) (n - 5) - ------------------------------------ - --------------------------------- 8 n 3 11 8 n 3 11 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 26 n 2 n 24 n 2 n 2 n ((n - 1) ) (n - 5) 1726 n ((n - 1) ) (n - 5) + -------------------------- + ----------------------------- 8 n 3 11 8 n 3 11 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 23 n 2 n 25 n 2 n 36418 n ((n - 1) ) (n - 5) 50 n ((n - 1) ) (n - 5) - ------------------------------ - --------------------------- 8 n 3 11 8 n 3 11 3 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 32 n 3 n 31 n 3 n n ((n - 1) ) (n - 5) 14 n ((n - 1) ) (n - 5) - ---------------------------- + --------------------------- 13 n 4 11 13 n 4 11 54 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 30 n 3 n 29 n 3 n 1645 n ((n - 1) ) (n - 5) 4439 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 13 n 4 11 13 n 4 11 27 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 28 n 3 n 27 n 3 n 224960 n ((n - 1) ) (n - 5) 936763 n ((n - 1) ) (n - 5) - ------------------------------- + ------------------------------- 13 n 4 11 13 n 4 11 9 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 26 n 3 n 30 n 3 n 80831453 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) - --------------------------------- - ---------------------------- 13 n 4 11 13 n 4 10 27 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 35 n ((n - 1) ) (n - 4) 1135 n ((n - 1) ) (n - 4) + --------------------------- - ----------------------------- 13 n 4 10 13 n 4 10 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 22661 n ((n - 1) ) (n - 4) 312226 n ((n - 1) ) (n - 4) + ------------------------------ - ------------------------------- 13 n 4 10 13 n 4 10 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 25 n 3 n 24 n 3 n 3153263 n ((n - 1) ) (n - 4) 8065577 n ((n - 1) ) (n - 4) + -------------------------------- - -------------------------------- 13 n 4 10 13 n 4 10 9 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 29 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 13 n 4 9 13 n 4 9 54 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 1547 n ((n - 1) ) (n - 3) 12596 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 13 n 4 9 13 n 4 9 54 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 280379 n ((n - 1) ) (n - 3) 1130897 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 13 n 4 9 13 n 4 9 54 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 22 n 3 n 24 n 3 n 1520189 n ((n - 1) ) (n - 3) 7331199023 n ((n - 1) ) (n - 5) - -------------------------------- - ----------------------------------- 13 n 4 9 13 n 4 11 6 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 5) 23 n 3 n 1976509135 n ((n - 1) ) (n - 5) + ----------------------------------- 13 n 4 11 3 (n - 1) (n ) (n - 5) 22 n 3 n 23335957906 n ((n - 1) ) (n - 5) - ------------------------------------ 13 n 4 11 9 (n - 1) (n ) (n - 5) 21 n 3 n 24872483228 n ((n - 1) ) (n - 5) + ------------------------------------ 13 n 4 11 3 (n - 1) (n ) (n - 5) 20 n 3 n 580557923720 n ((n - 1) ) (n - 5) - ------------------------------------- 13 n 4 11 27 (n - 1) (n ) (n - 5) 25 n 3 n 203054795 n ((n - 1) ) (n - 5) + ---------------------------------- 13 n 4 11 9 (n - 1) (n ) (n - 5) 19 n 3 n 404861973872 n ((n - 1) ) (n - 5) + ------------------------------------- 13 n 4 11 9 (n - 1) (n ) (n - 5) 15 n 3 n 74356602880 n ((n - 1) ) (n - 5) + ------------------------------------ 13 n 4 11 (n - 1) (n ) (n - 5) 14 n 3 n 38587686912 n ((n - 1) ) (n - 5) - ------------------------------------ 13 n 4 11 (n - 1) (n ) (n - 5) 17 n 3 n 98777834176 n ((n - 1) ) (n - 5) + ------------------------------------ 13 n 4 11 (n - 1) (n ) (n - 5) 18 n 3 n 2029640246560 n ((n - 1) ) (n - 5) - -------------------------------------- 13 n 4 11 27 (n - 1) (n ) (n - 5) 13 n 3 n 12409159680 n ((n - 1) ) (n - 5) + ------------------------------------ 13 n 4 11 (n - 1) (n ) (n - 5) 16 n 3 n 298948485632 n ((n - 1) ) (n - 5) - ------------------------------------- 13 n 4 11 3 (n - 1) (n ) (n - 5) 12 n 3 n 21 n 1857945600 n ((n - 1) ) (n - 5) 469 n (n - 6) - ----------------------------------- - ---------------- 13 n 4 11 n 16 (n - 1) (n ) (n - 5) 648 n (n - 6) 22 n 19 n 20 n 7 n (n - 6) 41377 n (n - 6) 19439 n (n - 6) + ----------------- - ------------------ + ------------------ n 16 n 16 n 16 1296 n (n - 6) 24 n (n - 6) 432 n (n - 6) 18 n 17 n 16 n 9850169 n (n - 6) 95484263 n (n - 6) 8435737877 n (n - 6) + -------------------- - --------------------- + ----------------------- n 16 n 16 n 16 216 n (n - 6) 108 n (n - 6) 648 n (n - 6) 15 n 14 n 48228897899 n (n - 6) 578943585857 n (n - 6) - ------------------------ + ------------------------- n 16 n 16 324 n (n - 6) 432 n (n - 6) 13 n 12 n 229798900331 n (n - 6) 23527171396547 n (n - 6) - ------------------------- + --------------------------- n 16 n 16 24 n (n - 6) 432 n (n - 6) 11 n 10 n 53210920133189 n (n - 6) 71402857809493 n (n - 6) - --------------------------- + --------------------------- n 16 n 16 216 n (n - 6) 81 n (n - 6) 6 n 5 n 30507740462360 n (n - 6) 8107113173600 n (n - 6) + -------------------------- - ------------------------- n 16 n 16 3 n (n - 6) n (n - 6) 8 n 9 n 144042093511631 n (n - 6) 200100860215277 n (n - 6) + --------------------------- - --------------------------- n 16 n 16 27 n (n - 6) 81 n (n - 6) 4 n 7 n 3900131088000 n (n - 6) 77944219640798 n (n - 6) + ------------------------- - -------------------------- n 16 n 16 n (n - 6) 9 n (n - 6) 3 n 19 n 20 n 847566720000 n (n - 6) 19 n (n - 5) n (n - 5) - ------------------------ - ---------------- + ----------------- n 16 n 15 n 15 n (n - 6) 216 n (n - 5) 1296 n (n - 5) 18 n 17 n 16 n 83 n (n - 5) 5309 n (n - 5) 695387 n (n - 5) + --------------- - ----------------- + ------------------- n 15 n 15 n 15 18 n (n - 5) 36 n (n - 5) 216 n (n - 5) 15 n 14 n 13 n 305123 n (n - 5) 48697207 n (n - 5) 586105949 n (n - 5) - ------------------- + --------------------- - ---------------------- n 15 n 15 n 15 6 n (n - 5) 81 n (n - 5) 108 n (n - 5) 12 n 11 n 605143253 n (n - 5) 14717052779 n (n - 5) + ---------------------- - ------------------------ n 15 n 15 16 n (n - 5) 72 n (n - 5) 10 n 6 n 23097691526 n (n - 5) 15662182184 n (n - 5) + ------------------------ + ----------------------- n 15 n 15 27 n (n - 5) n (n - 5) 5 n 8 n 40663135648 n (n - 5) 543983918209 n (n - 5) - ----------------------- + ------------------------ n 15 n 15 3 n (n - 5) 81 n (n - 5) 9 n 4 n 8258229161 n (n - 5) 6998311040 n (n - 5) - ---------------------- + ---------------------- n 15 n 15 3 n (n - 5) n (n - 5) 7 n 3 n 21 n 327748252802 n (n - 5) 1614412800 n (n - 5) 7701505 n (n - 8) - ------------------------ - ---------------------- - -------------------- n 15 n 15 n 18 27 n (n - 5) n (n - 5) 12 n (n - 8) 22 n 19 n 29986831 n (n - 8) 2119803236 n (n - 8) + --------------------- - ----------------------- n 18 n 18 1296 n (n - 8) 9 n (n - 8) 20 n 23 n 24 n 2234902961 n (n - 8) 11207 n (n - 8) 7619 n (n - 8) + ----------------------- - ------------------ + ----------------- n 18 n 18 n 18 162 n (n - 8) 18 n (n - 8) 648 n (n - 8) 25 n 26 n 18 n 5 n (n - 8) n (n - 8) 4208758135711 n (n - 8) - --------------- + ----------------- + -------------------------- n 18 n 18 n 18 36 n (n - 8) 1296 n (n - 8) 1296 n (n - 8) 17 n 16 n 1316550755275 n (n - 8) 219581251166879 n (n - 8) - -------------------------- + ---------------------------- n 18 n 18 36 n (n - 8) 648 n (n - 8) 15 n 14 n 5189275872963 n (n - 8) 21312867060040321 n (n - 8) - -------------------------- + ------------------------------ n 18 n 18 2 n (n - 8) 1296 n (n - 8) 13 n 12 n 3103700929861085 n (n - 8) 120741912097216117 n (n - 8) - ----------------------------- + ------------------------------- n 18 n 18 36 n (n - 8) 324 n (n - 8) 11 n 10 n 11883407841432211 n (n - 8) 307823589136634431 n (n - 8) - ------------------------------ + ------------------------------- n 18 n 18 9 n (n - 8) 81 n (n - 8) 6 n 5 n 22716210312661440 n (n - 8) 16063121169043200 n (n - 8) + ----------------------------- - ----------------------------- n 18 n 18 n (n - 8) n (n - 8) 8 n 9 n 47787949556598164 n (n - 8) 26310254319848660 n (n - 8) + ----------------------------- - ----------------------------- n 18 n 18 3 n (n - 8) 3 n (n - 8) 19 n 2 n 18 n 2 n 11 n ((n - 1) ) (n - 2) 122 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 6 10 n 3 6 12 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 237 n ((n - 1) ) (n - 2) 8159 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 2 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 10745 n ((n - 1) ) (n - 2) 134089 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 4 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 43447 n ((n - 1) ) (n - 2) 173818 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 16792 n ((n - 1) ) (n - 2) 8544 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 1920 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ---------------------------- - -------------------------- 10 n 3 6 5 n 2 9 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 3) 17 n n 16 n n 47 n (n - 1) (n - 3) 493 n (n - 1) (n - 3) + -------------------------- - ------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 6101 n (n - 1) (n - 3) 11017 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 185677 n (n - 1) (n - 3) 1108474 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 6 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n n 10 n n 3146648 n (n - 1) (n - 3) 6317168 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 8736136 n (n - 1) (n - 3) 2628736 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 462464 n (n - 1) (n - 3) 107520 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 3 n 90303123836 n ((n - 1) ) (n - 4) + ------------------------------------ 11 n 4 12 27 (n - 1) (n ) (n - 4) 15 n 3 n 11507856064 n ((n - 1) ) (n - 4) + ------------------------------------ 11 n 4 12 (n - 1) (n ) (n - 4) 14 n 3 n 6897580544 n ((n - 1) ) (n - 4) - ----------------------------------- 11 n 4 12 (n - 1) (n ) (n - 4) 17 n 3 n 296006364368 n ((n - 1) ) (n - 4) + ------------------------------------- 11 n 4 12 27 (n - 1) (n ) (n - 4) 18 n 3 n 62034049496 n ((n - 1) ) (n - 4) - ------------------------------------ 11 n 4 12 9 (n - 1) (n ) (n - 4) 13 n 3 n 24 n 3 n 2527656960 n ((n - 1) ) (n - 4) 65667265 n ((n - 1) ) (n - 4) + ----------------------------------- - --------------------------------- 11 n 4 12 11 n 4 12 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 25 n 3 n 23 n 3 n 7371799 n ((n - 1) ) (n - 4) 451137469 n ((n - 1) ) (n - 4) + -------------------------------- + ---------------------------------- 11 n 4 12 11 n 4 12 27 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 21 n 3 n 10255704371 n ((n - 1) ) (n - 4) + ------------------------------------ 11 n 4 12 27 (n - 1) (n ) (n - 4) 20 n 3 n 34280586070 n ((n - 1) ) (n - 4) - ------------------------------------ 11 n 4 12 27 (n - 1) (n ) (n - 4) 22 n 3 n 4846717271 n ((n - 1) ) (n - 4) - ----------------------------------- 11 n 4 12 54 (n - 1) (n ) (n - 4) 16 n 3 n 118459830880 n ((n - 1) ) (n - 4) - ------------------------------------- 11 n 4 12 9 (n - 1) (n ) (n - 4) 12 n 3 n 425779200 n ((n - 1) ) (n - 4) - ---------------------------------- 11 n 4 12 (n - 1) (n ) (n - 4) and in Maple notation 1/36*n^34*((n-1)^n)^7/(n-1)^27/(n^n)^7-35/36*n^33*((n-1)^n)^7/(n-1)^27/(n^n)^7+ 187/12*n^32*((n-1)^n)^7/(n-1)^27/(n^n)^7-5453/36*n^31*((n-1)^n)^7/(n-1)^27/(n^n )^7+17933/18*n^30*((n-1)^n)^7/(n-1)^27/(n^n)^7-4683*n^29*((n-1)^n)^7/(n-1)^27/( n^n)^7+145682/9*n^28*((n-1)^n)^7/(n-1)^27/(n^n)^7-374980/9*n^27*((n-1)^n)^7/(n-\ 1)^27/(n^n)^7+239624/3*n^26*((n-1)^n)^7/(n-1)^27/(n^n)^7-1013968/9*n^25*((n-1)^ n)^7/(n-1)^27/(n^n)^7+1023008/9*n^24*((n-1)^n)^7/(n-1)^27/(n^n)^7-77696*n^23*(( n-1)^n)^7/(n-1)^27/(n^n)^7+32256*n^22*((n-1)^n)^7/(n-1)^27/(n^n)^7+4/9*n^26*((n -1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-40/3*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^ 5*(n-2)^n/(n-2)^6+536/3*n^24*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-12704 /9*n^23*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+21916/3*n^22*((n-1)^n)^4/( n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-78008/3*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2) ^n/(n-2)^6+584480/9*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-341312/3* n^19*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6+410816/3*n^18*((n-1)^n)^4/(n-\ 1)^14/(n^n)^5*(n-2)^n/(n-2)^6-969856/9*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^ n/(n-2)^6+149504/3*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-10240*n^15 *((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-2)^n/(n-2)^6-2/3*n^24*((n-1)^n)^3/(n-1)^11/(n^ n)^4*(n-3)^n/(n-3)^7+24*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-388*n ^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+11176/3*n^21*((n-1)^n)^3/(n-1) ^11/(n^n)^4*(n-3)^n/(n-3)^7-23662*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-\ 3)^7+104752*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-994312/3*n^18*((n -1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+755136*n^17*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-3)^n/(n-3)^7-1229344*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+ 4182272/3*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-1044608*n^14*((n-1) ^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7+463872*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4 *(n-3)^n/(n-3)^7-92160*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-3)^n/(n-3)^7-176/9* n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+3500/9*n^20*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-4)^n/(n-4)^8-41656/9*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4 )^8+110356/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-618496/3*n^17*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+7544180/9*n^16*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-4)^n/(n-4)^8-22527448/9*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^ 8+49390432/9*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-78491456/9*n^13*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+29275840/3*n^12*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-4)^n/(n-4)^8-7273344*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^ 8+3231744*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8-645120*n^9*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^8+4/9*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n /(n-4)^8-1/9*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+6*n^19*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^9-1327/9*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+ 6556/3*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-196399/9*n^16*(n-1)^n/(n-1) ^5/(n^n)^2*(n-5)^n/(n-5)^9+465842/3*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 9-7306001/9*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+3166256*n^13*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-83290784/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/ (n-5)^9+60477392/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-289690352/9*n^ 10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+109466176/3*n^9*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^9-27719424*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9+ 12604416*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^9-2580480*n^6*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^9+7/36*n^26*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^ 8-7*n^25*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+665/6*n^24*((n-1)^n)^4/(n -1)^12/(n^n)^5*(n-2)^n/(n-2)^8-9170/9*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n /(n-2)^8+72541/12*n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-72961/3*n^ 21*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+609791/9*n^20*((n-1)^n)^4/(n-1) ^12/(n^n)^5*(n-2)^n/(n-2)^8-392420/3*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/ (n-2)^8+514780/3*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8-1311184/9*n^ 17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^8+72016*n^16*((n-1)^n)^4/(n-1)^12 /(n^n)^5*(n-2)^n/(n-2)^8-15680*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-2)^n/(n-2)^ 8+68600/9*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-511063/9*n^20*((n-1) ^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+290724*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*( n-3)^n/(n-3)^9-9443420/9*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+ 24222352/9*n^17*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-14616560/3*n^16*((n -1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9+54663616/9*n^15*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-3)^n/(n-3)^9-44550464/9*n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3) ^9+2367232*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-501760*n^12*((n-1)^ n)^3/(n-1)^9/(n^n)^4*(n-3)^n/(n-3)^9-7/9*n^24*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-3) 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23*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17-11687/324*n^26*(n-1)^n/(n-1)^3/(n^n )^2*(n-7)^n/(n-7)^17+79/162*n^27*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17+ 27485427365/81*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17-1278401043341/324* n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17+6024327497699/162*n^19*(n-1)^n/(n -1)^3/(n^n)^2*(n-7)^n/(n-7)^17-30885570888809/108*n^18*(n-1)^n/(n-1)^3/(n^n)^2* (n-7)^n/(n-7)^17+97237453650155/54*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^ 17-752456614618309/81*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17+ 3173897671377842/81*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17-\ 10892647582068668/81*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17+ 30169141622380600/81*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17+ 1818252540986880*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17-1213100390246400* n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17+4266744012630176/3*n^11*(n-1)^n/(n -1)^3/(n^n)^2*(n-7)^n/(n-7)^17-822410616374704*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-\ 7)^n/(n-7)^17-1/54*n^30*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+14/9*n^29 *((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-1625/27*n^28*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-4)^n/(n-4)^12+38467/27*n^27*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/ (n-4)^12-624188/27*n^26*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-1/54*n^32 *((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13+50/27*n^31*((n-1)^n)^3/(n-1)^11/ (n^n)^4*(n-5)^n/(n-5)^13-2321/27*n^30*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5 )^13+7387/3*n^29*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13-439220/9*n^28*(( n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13+6401741/9*n^27*((n-1)^n)^3/(n-1)^11 /(n^n)^4*(n-5)^n/(n-5)^13-213577073/27*n^26*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^ n/(n-5)^13-25587173719/54*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13+ 7853782339/3*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13-104897690170/9* n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13+377022103588/9*n^21*((n-1)^n )^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13-3276420261224/27*n^20*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-5)^n/(n-5)^13+1855660061/27*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-\ 5)^n/(n-5)^13+7608190684304/27*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^ 13+665266036736*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13-371952156672 *n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13+748336647616*n^17*((n-1)^n) ^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13-14024384449952/27*n^18*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-5)^n/(n-5)^13+128140001280*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5 )^n/(n-5)^13-1/324*n^28*(n-1)^n/(n-1)^3/(n^n)^2*(n-7)^n/(n-7)^17+41407420108/81 *n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+2879252544*n^12*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-5740196864/3*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-4)^n/(n-4)^12+176621482064/81*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4) ^12-97791407456/81*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+771589120* n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-12529894/81*n^21*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1106852/81*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -4)^n/(n-4)^12+35424914/27*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+ 3467266363/81*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-13576876016/81* n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-689725454/81*n^19*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-79589921536/27*n^13*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-4)^n/(n-4)^12-141926400*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+ 6275/81*n^28*((n-1)^n)^2/(n-1)^8/(n^n)^3/(n-6)^14*(n-6)^n-210472/81*n^27*((n-1) ^n)^2/(n-1)^8/(n^n)^3/(n-6)^14*(n-6)^n+1/81*n^30*((n-1)^n)^2/(n-1)^8/(n^n)^3/(n -6)^14*(n-6)^n-116/81*n^29*((n-1)^n)^2/(n-1)^8/(n^n)^3/(n-6)^14*(n-6)^n-\ 2468427126784/3*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13-20437401600* n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-5)^n/(n-5)^13-1/18*n^32*((n-1)^n)^5/(n-1)^ 17/(n^n)^6*(n-2)^n/(n-2)^8+5/2*n^31*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^ 8-460/9*n^30*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+5665/9*n^29*((n-1)^n) ^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8-10437/2*n^28*((n-1)^n)^5/(n-1)^17/(n^n)^6*( n-2)^n/(n-2)^8+554797/18*n^27*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8-\ 1204105/9*n^26*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+1301150/3*n^25*((n-\ 1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8-9499268/9*n^24*((n-1)^n)^5/(n-1)^17/(n ^n)^6*(n-2)^n/(n-2)^8+17272568/9*n^23*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2 )^8-7700560/3*n^22*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+22036960/9*n^21 *((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8-4722880/3*n^20*((n-1)^n)^5/(n-1)^ 17/(n^n)^6*(n-2)^n/(n-2)^8+610304*n^19*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-\ 2)^8-107520*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-2)^n/(n-2)^8+13693172/9*n^24*( (n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-54145160/9*n^23*((n-1)^n)^4/(n-1)^ 14/(n^n)^5*(n-3)^n/(n-3)^9+162907472/9*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^ n/(n-3)^9-41451872*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9+645128896/ 9*n^20*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-827401600/9*n^19*((n-1)^n)^ 4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9+761857280/9*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^ 5*(n-3)^n/(n-3)^9-158455808/3*n^17*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9 +19959808*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-3440640*n^15*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-2/3*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^8+28*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-1582/3*n^16*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^8+5888*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8 -43402*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+222444*n^13*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^8-2437426/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8 +2129624*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8-11917472/3*n^10*(n-1)^n/( n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+5136928*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^8-4364064*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8+2181888*n^7*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^8-483840*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^8 -20437401600*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-2/3*n^12*(n-1)^n/ (n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+34/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2) ^6-230/3*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+790/3*n^9*(n-1)^n/(n-1)^3 /(n^n)^2*(n-2)^n/(n-2)^6-1448/3*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6+ 1336/3*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-2)^n/(n-2)^6-160*n^6*(n-1)^n/(n-1)^3/(n^n )^2*(n-2)^n/(n-2)^6+903*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-28882/ 3*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9+131845/2*n^16*((n-1)^n)^2/(n -1)^6/(n^n)^3*(n-3)^n/(n-3)^9-304241*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/( n-3)^9+2896264/3*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-3)^n/(n-3)^9-2106216*n^13* 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*(n-4)^n/(n-4)^8-1227052384/3*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8 +307567104*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8-160355328*n^14*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+51683328*n^13*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-4)^n/(n-4)^8-7741440*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8 +920455397/27*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-3274127003/27*n ^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9+3170781052/9*n^21*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-67591575148/81*n^20*((n-1)^n)^3/(n-1)^15/(n^n) ^4*(n-5)^n/(n-5)^9+14420800912/9*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5 )^9-200019671984/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9+ 81178215872/27*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-25409579008/9* n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9+1969682432*n^15*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-959885312*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-\ 5)^n/(n-5)^9+291127296*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-\ 41287680*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-1/324*n^32*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9+2/9*n^31*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5) ^n/(n-5)^9-608/81*n^30*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9+4271/27*n^ 29*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-125981/54*n^28*((n-1)^n)^3/(n-1 )^15/(n^n)^4*(n-5)^n/(n-5)^9+230399/9*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n /(n-5)^9-17567377/81*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9+1452767* n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-2531965913/324*n^24*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^9-1/54*n^30*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4 )^n/(n-4)^8+10/9*n^29*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8-280/9*n^28*( (n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+4862/9*n^27*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-4)^n/(n-4)^8-19559/3*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8 +522686/9*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8-10685066/27*n^24*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^8+6327734/3*n^23*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-4)^n/(n-4)^8-160443715/18*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/ (n-4)^8-149629823/81*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-1877309/ 324*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+503062/27*n^19*((n-1)^n)^ 3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-3670274/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-2)^n/(n-2)^6-7/324*n^28*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+175/ 162*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-8113/324*n^26*((n-1)^n)^3 /(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+28931/81*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -3)^n/(n-3)^7-1136821/324*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+ 4077199/162*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-44173703/324*n^22 *((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+46078774/81*n^21*((n-1)^n)^3/(n-1 )^15/(n^n)^4*(n-3)^n/(n-3)^7-1/324*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n -2)^6+7/54*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-811/324*n^24*((n-1 )^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+265/9*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-2)^n/(n-2)^6-76351/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+ 73271/54*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+379300936/81*n^19*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-747846260/81*n^18*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-3)^n/(n-3)^7+1134331744/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3 )^n/(n-3)^7-48035120/3*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+ 119990528/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7-22855168/3*n^14*( (n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7+2666496*n^13*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-3)^n/(n-3)^7-430080*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^7 -214144/3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+84992/3*n^13*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-9084500/81*n^16*((n-1)^n)^3/(n-1)^15/(n^ n)^4*(n-2)^n/(n-2)^6+2936768/27*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2) ^6-5120*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+745936/9*n^17*((n-1)^ n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+129804640/27*n^28*((n-1)^n)^6/(n-1)^22/(n ^n)^7*(n-2)^n/(n-2)^8-226755320/27*n^27*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n -2)^8+102307216/9*n^26*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8+31655206/27 *n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-113250002/27*n^20*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+314290264/27*n^19*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-3)^n/(n-3)^9-674291096/27*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3) ^9+1106444320/27*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1360915168/ 27*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+404155520/9*n^15*((n-1)^n) ^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-27312640*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4* (n-3)^n/(n-3)^9+10123264*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-\ 1720320*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-7503524318/9*n^20*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+17683774600/9*n^19*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-4)^n/(n-4)^10-32844106600/9*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n -4)^n/(n-4)^10+5268605024*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10-\ 5781305504*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+4651024512*n^15*( (n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10-2581922304*n^14*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-4)^n/(n-4)^10+881915904*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n /(n-4)^10-139345920*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+ 144279631/9*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10-1355630875/18*n^ 22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+2527980850/9*n^21*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10-24635695104*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-5)^n/(n-5)^11+47577216080*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^ 11-293312589280/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11+8610140160 *n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11-53012319104*n^13*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11-1393459200*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-5)^n/(n-5)^11-16022/27*n^27*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^12*(n-6)^n+ 425465/36*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^12*(n-6)^n-3145577/18*n^25*(( n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^12*(n-6)^n+1/216*n^30*((n-1)^n)^2/(n-1)^10/(n^ n)^3/(n-6)^12*(n-6)^n-49/108*n^29*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^12*(n-6)^n +4493/216*n^28*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^12*(n-6)^n+1/36*n^28*((n-1)^n )^2/(n-1)^10/(n^n)^3/(n-5)^11*(n-5)^n+215096801/108*n^24*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-6)^n/(n-6)^12-483992929/27*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/ (n-6)^12-81970183265/108*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12+ 261528530507/72*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12-128147063237 /9*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12+2468549522677/54*n^18*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12-3235298452072/27*n^17*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-6)^n/(n-6)^12+27972032309/216*n^22*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-6)^n/(n-6)^12+6877828295110/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/ (n-6)^12+465418252544*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12-\ 249019822080*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12+1754196797336/3 *n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12-11730211198928/27*n^15*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12+82642176000*n^10*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-6)^n/(n-6)^12-1817753459776/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 6)^n/(n-6)^12-12773376000*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^12-\ 476415107/18*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11+1808512865/12*n ^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11-2060507270/3*n^19*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11+7546964413/3*n^18*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-5)^n/(n-5)^11-22214796016/3*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-\ 5)^11+66374639/18*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11+ 156990185764/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11+43449604608*n ^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^11+73671026741/162*n^24*((n-1)^n )^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14-121648158983/81*n^23*((n-1)^n)^4/(n-1)^12 /(n^n)^5*(n-4)^n/(n-4)^14+317170099952/81*n^22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-\ 4)^n/(n-4)^14+38811838864/3*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14-\ 22991393408/3*n^17*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14+1019728226888/ 81*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14-647375234740/81*n^21*((n-\ 1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14+2773776640*n^16*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-4)^n/(n-4)^14-403930690096/27*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4 )^n/(n-4)^14-461260800*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14+1/ 1296*n^34*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14-13/162*n^33*((n-1)^n)^4 /(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14+623/162*n^32*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n -4)^n/(n-4)^14-36541/324*n^31*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-4)^n/(n-4)^14+1/( n^n)*n^12*(n-4)^n/(n-4)^8-33/(n^n)*n^11*(n-4)^n/(n-4)^8+468/(n^n)*n^10*(n-4)^n/ (n-4)^8-3738/(n^n)*n^9*(n-4)^n/(n-4)^8+18501/(n^n)*n^8*(n-4)^n/(n-4)^8-58737/(n ^n)*n^7*(n-4)^n/(n-4)^8+119342/(n^n)*n^6*(n-4)^n/(n-4)^8-149172/(n^n)*n^5*(n-4) ^n/(n-4)^8+103608/(n^n)*n^4*(n-4)^n/(n-4)^8-30240/(n^n)*n^3*(n-4)^n/(n-4)^8-125 /36/(n^n)*n^21*(n-7)^n/(n-7)^15+1/36/(n^n)*n^22*(n-7)^n/(n-7)^15+605/3/(n^n)*n^ 20*(n-7)^n/(n-7)^15-7230/(n^n)*n^19*(n-7)^n/(n-7)^15+1075661/6/(n^n)*n^18*(n-7) ^n/(n-7)^15-19589305/6/(n^n)*n^17*(n-7)^n/(n-7)^15-4395294215/9/(n^n)*n^15*(n-7 )^n/(n-7)^15+49919082707/12/(n^n)*n^14*(n-7)^n/(n-7)^15-112787525565/4/(n^n)*n^ 13*(n-7)^n/(n-7)^15+457763645690/3/(n^n)*n^12*(n-7)^n/(n-7)^15-1975862051995/3/ (n^n)*n^11*(n-7)^n/(n-7)^15+407324305/9/(n^n)*n^16*(n-7)^n/(n-7)^15+ 20301880865464/9/(n^n)*n^10*(n-7)^n/(n-7)^15+22534629861696/(n^n)*n^6*(n-7)^n/( n-7)^15-17468178865920/(n^n)*n^5*(n-7)^n/(n-7)^15+37871795527520/3/(n^n)*n^8*(n -7)^n/(n-7)^15-54624933916460/9/(n^n)*n^9*(n-7)^n/(n-7)^15+8197483392000/(n^n)* n^4*(n-7)^n/(n-7)^15-19800111884720/(n^n)*n^7*(n-7)^n/(n-7)^15-1743565824000/(n ^n)*n^3*(n-7)^n/(n-7)^15+8540/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-\ 14819*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+51548*n^11*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^7-1090880/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+ 1709680/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-568624/3*n^8*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^7+108416*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-\ 26880*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7+280/9*n^15*(n-1)^n/(n-1)^3/(n ^n)^2*(n-3)^n/(n-3)^9-4858/9*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+16016 /3*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-33271*n^12*(n-1)^n/(n-1)^3/(n^n )^2*(n-3)^n/(n-3)^9+408856/3*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-\ 3339392/9*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+5958512/9*n^9*(n-1)^n/(n -1)^3/(n^n)^2*(n-3)^n/(n-3)^9-6658064/9*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-\ 3)^9+466368*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9-125440*n^6*(n-1)^n/(n-1 )^3/(n^n)^2*(n-3)^n/(n-3)^9-7/9*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-3)^n/(n-3)^9+1/ 216*n^30*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-176527/108*n^27*((n-1)^n) ^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16+2957/72*n^28*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n -6)^n/(n-6)^16+1/6/(n^n)*n^20*(n-6)^n/(n-6)^14-35/2/(n^n)*n^19*(n-6)^n/(n-6)^14 +846/(n^n)*n^18*(n-6)^n/(n-6)^14-24990/(n^n)*n^17*(n-6)^n/(n-6)^14-7394205/(n^n )*n^15*(n-6)^n/(n-6)^14+243787466/3/(n^n)*n^14*(n-6)^n/(n-6)^14-683833150/(n^n) *n^13*(n-6)^n/(n-6)^14+8913658611/2/(n^n)*n^12*(n-6)^n/(n-6)^14-45205435275/2/( n^n)*n^11*(n-6)^n/(n-6)^14+504797/(n^n)*n^16*(n-6)^n/(n-6)^14+89099276968/(n^n) *n^10*(n-6)^n/(n-6)^14+1337786496864/(n^n)*n^6*(n-6)^n/(n-6)^14-1113891569280/( n^n)*n^5*(n-6)^n/(n-6)^14+1884126950192/3/(n^n)*n^8*(n-6)^n/(n-6)^14-\ 271110283080/(n^n)*n^9*(n-6)^n/(n-6)^14+555882048000/(n^n)*n^4*(n-6)^n/(n-6)^14 -1082512497640/(n^n)*n^7*(n-6)^n/(n-6)^14-124540416000/(n^n)*n^3*(n-6)^n/(n-6)^ 14+200/9*n^32*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8-10844/27*n^31*((n-1) ^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8+136802/27*n^30*((n-1)^n)^4/(n-1)^18/(n^n )^5*(n-4)^n/(n-4)^8-1280080/27*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^ 8+27642364/81*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8-156639476/81*n^ 27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8+236376523/27*n^26*((n-1)^n)^4/( n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8-862459510/27*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5* (n-4)^n/(n-4)^8-387748904/27*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7-\ 9791362/81*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+26754584/81*n^22*( (n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-56215888/81*n^21*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-2)^n/(n-2)^6+1/81*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2) ^6+1/27*n^32*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7-52/27*n^31*((n-1)^n)^ 4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+1259/27*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n -3)^n/(n-3)^7-18850/27*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7+195467 /27*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^7-1024*n^18*((n-1)^n)^6/(n-\ 1)^22/(n^n)^6+825216*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-161280*n ^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+247114/9*n^18*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^9-503558/3*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n -3)^9+6662020/9*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-21454384/9*n^ 15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-512*n^15*((n-1)^n)^5/(n-1)^23/(n ^n)^5+1/1296*n^28*((n-1)^n)^5/(n-1)^23/(n^n)^5-19/648*n^27*((n-1)^n)^5/(n-1)^23 /(n^n)^5-114905/6/(n^n)*n^11*(n-4)^n/(n-4)^10+1890469/12/(n^n)*n^10*(n-4)^n/(n-\ 4)^10-5246185/6/(n^n)*n^9*(n-4)^n/(n-4)^10+120047207/36/(n^n)*n^8*(n-4)^n/(n-4) ^10-156972725/18/(n^n)*n^7*(n-4)^n/(n-4)^10+45864637/3/(n^n)*n^6*(n-4)^n/(n-4)^ 10-17057390/(n^n)*n^5*(n-4)^n/(n-4)^10+10853304/(n^n)*n^4*(n-4)^n/(n-4)^10-\ 2963520/(n^n)*n^3*(n-4)^n/(n-4)^10+49/36/(n^n)*n^14*(n-4)^n/(n-4)^10-1225/18/(n ^n)*n^13*(n-4)^n/(n-4)^10+17983/12/(n^n)*n^12*(n-4)^n/(n-4)^10+331/648*n^26*((n -1)^n)^5/(n-1)^23/(n^n)^5-875/162*n^25*((n-1)^n)^5/(n-1)^23/(n^n)^5+5569/144*n^ 24*((n-1)^n)^5/(n-1)^23/(n^n)^5-42767/216*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^5+ 120793/162*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^5-169393/81*n^21*((n-1)^n)^5/(n-1)^ 23/(n^n)^5+353821/81*n^20*((n-1)^n)^5/(n-1)^23/(n^n)^5-543602/81*n^19*((n-1)^n) ^5/(n-1)^23/(n^n)^5+199040/27*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^5-16448/3*n^17*(( n-1)^n)^5/(n-1)^23/(n^n)^5+7424/3*n^16*((n-1)^n)^5/(n-1)^23/(n^n)^5-12288*n^21* ((n-1)^n)^7/(n-1)^29/(n^n)^7+1/216*n^36*((n-1)^n)^7/(n-1)^29/(n^n)^7-7/36*n^35* ((n-1)^n)^7/(n-1)^29/(n^n)^7+409/108*n^34*((n-1)^n)^7/(n-1)^29/(n^n)^7-1225/27* n^33*((n-1)^n)^7/(n-1)^29/(n^n)^7+26923/72*n^32*((n-1)^n)^7/(n-1)^29/(n^n)^7-\ 242543/108*n^31*((n-1)^n)^7/(n-1)^29/(n^n)^7+548309/54*n^30*((n-1)^n)^7/(n-1)^ 29/(n^n)^7-316753/9*n^29*((n-1)^n)^7/(n-1)^29/(n^n)^7+2545958/27*n^28*((n-1)^n) ^7/(n-1)^29/(n^n)^7-5272916/27*n^27*((n-1)^n)^7/(n-1)^29/(n^n)^7+2791208/9*n^26 *((n-1)^n)^7/(n-1)^29/(n^n)^7-10013968/27*n^25*((n-1)^n)^7/(n-1)^29/(n^n)^7+ 2910208/9*n^24*((n-1)^n)^7/(n-1)^29/(n^n)^7-194048*n^23*((n-1)^n)^7/(n-1)^29/(n ^n)^7+71680*n^22*((n-1)^n)^7/(n-1)^29/(n^n)^7-4096*n^18*((n-1)^n)^6/(n-1)^26/(n ^n)^6-1/324*n^32*((n-1)^n)^6/(n-1)^26/(n^n)^6+10/81*n^31*((n-1)^n)^6/(n-1)^26/( n^n)^6-41/18*n^30*((n-1)^n)^6/(n-1)^26/(n^n)^6+2081/81*n^29*((n-1)^n)^6/(n-1)^ 26/(n^n)^6-64121/324*n^28*((n-1)^n)^6/(n-1)^26/(n^n)^6+29737/27*n^27*((n-1)^n)^ 6/(n-1)^26/(n^n)^6-369887/81*n^26*((n-1)^n)^6/(n-1)^26/(n^n)^6+1160744/81*n^25* ((n-1)^n)^6/(n-1)^26/(n^n)^6-923476/27*n^24*((n-1)^n)^6/(n-1)^26/(n^n)^6+ 5004976/81*n^23*((n-1)^n)^6/(n-1)^26/(n^n)^6-6737296/81*n^22*((n-1)^n)^6/(n-1)^ 26/(n^n)^6+2184448/27*n^21*((n-1)^n)^6/(n-1)^26/(n^n)^6-53760*n^20*((n-1)^n)^6/ (n-1)^26/(n^n)^6+65536/3*n^19*((n-1)^n)^6/(n-1)^26/(n^n)^6-7/1296*n^40*((n-1)^n )^8/(n-1)^32/(n^n)^8+77/324*n^39*((n-1)^n)^8/(n-1)^32/(n^n)^8-3157/648*n^38*((n -1)^n)^8/(n-1)^32/(n^n)^8+6671/108*n^37*((n-1)^n)^8/(n-1)^32/(n^n)^8-702583/ 1296*n^36*((n-1)^n)^8/(n-1)^32/(n^n)^8+282898/81*n^35*((n-1)^n)^8/(n-1)^32/(n^n )^8-1383991/81*n^34*((n-1)^n)^8/(n-1)^32/(n^n)^8+5244988/81*n^33*((n-1)^n)^8/(n -1)^32/(n^n)^8-15562666/81*n^32*((n-1)^n)^8/(n-1)^32/(n^n)^8+4030768/9*n^31*((n -1)^n)^8/(n-1)^32/(n^n)^8-66218096/81*n^30*((n-1)^n)^8/(n-1)^32/(n^n)^8+ 93664256/81*n^29*((n-1)^n)^8/(n-1)^32/(n^n)^8-100654960/81*n^28*((n-1)^n)^8/(n-\ 1)^32/(n^n)^8+26483968/27*n^27*((n-1)^n)^8/(n-1)^32/(n^n)^8-1609216/3*n^26*((n-\ 1)^n)^8/(n-1)^32/(n^n)^8+544768/3*n^25*((n-1)^n)^8/(n-1)^32/(n^n)^8+7/36/(n^n)* n^18*(n-5)^n/(n-5)^13-203/12/(n^n)*n^17*(n-5)^n/(n-5)^13-191975/12/(n^n)*n^15*( n-5)^n/(n-5)^13+9267349/36/(n^n)*n^14*(n-5)^n/(n-5)^13-35436401/12/(n^n)*n^13*( n-5)^n/(n-5)^13+897081185/36/(n^n)*n^12*(n-5)^n/(n-5)^13-1887810925/12/(n^n)*n^ 11*(n-5)^n/(n-5)^13+24115/36/(n^n)*n^16*(n-5)^n/(n-5)^13+6733690964/9/(n^n)*n^ 10*(n-5)^n/(n-5)^13+19058257008/(n^n)*n^6*(n-5)^n/(n-5)^13-17366991936/(n^n)*n^ 5*(n-5)^n/(n-5)^13+64208821040/9/(n^n)*n^8*(n-5)^n/(n-5)^13-8030438416/3/(n^n)* n^9*(n-5)^n/(n-5)^13+9358352640/(n^n)*n^4*(n-5)^n/(n-5)^13-41654567500/3/(n^n)* n^7*(n-5)^n/(n-5)^13-2235340800/(n^n)*n^3*(n-5)^n/(n-5)^13+3087152768/27*n^23*( (n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^7-321414016/3*n^22*((n-1)^n)^5/(n-1)^ 21/(n^n)^6*(n-3)^n/(n-3)^7+222349312/3*n^21*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^ n/(n-3)^7-35631104*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^7+10616832*n ^19*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^7+77/9*n^27*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-4)^n/(n-4)^12-2699/9*n^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^ 12-1/9*n^28*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+122424824/27*n^20*((n-\ 1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-40327840/9*n^19*((n-1)^n)^4/(n-1)^20/( n^n)^5*(n-3)^n/(n-3)^5+9770240/3*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3 )^5-1639424*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+509952*n^16*((n-1 )^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-73728*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5 *(n-3)^n/(n-3)^5+66304*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-10752* n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+7/1296*n^30*((n-1)^n)^4/(n-1) ^20/(n^n)^5*(n-2)^n/(n-2)^4-49/216*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n -2)^4+5719/1296*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-11389/216*n^ 27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+560749/1296*n^26*((n-1)^n)^4/(n -1)^20/(n^n)^5*(n-2)^n/(n-2)^4-557767/216*n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-\ 2)^n/(n-2)^4+15001805/1296*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-\ 8569715/216*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+16976155/162*n^22 *((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-5756485/27*n^21*((n-1)^n)^4/(n-1) ^20/(n^n)^5*(n-2)^n/(n-2)^4+26830937/81*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2) ^n/(n-2)^4-10414558/27*n^19*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4+ 2930816/9*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-564032/3*n^17*((n-1 )^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^4-16/27*n^37*((n-1)^n)^6/(n-1)^24/(n^n)^7 *(n-2)^n/(n-2)^6+1/81*n^38*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6+1075/81 *n^36*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6-1762/3*n^22*(n-1)^n/(n-1)^3/ (n^n)^2*(n-6)^n/(n-6)^14+17788*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-\ 1109554/3*n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-576305392/9*n^18*(n-1)^ n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+5078148764/9*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n -6)^n/(n-6)^14-11648991211/3*n^16*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+ 21010917499*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-268609424486/3*n^14*( n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+16807598/3*n^19*(n-1)^n/(n-1)^3/(n^n)^2 *(n-6)^n/(n-6)^14+898617674032/3*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+ 2526309708672*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-1855776791040*n^8*(n -1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+14031582786608/9*n^11*(n-1)^n/(n-1)^3/(n ^n)^2*(n-6)^n/(n-6)^14-7021577297344/9*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-\ 6)^14+824203008000*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-7005622984288/3 *n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14-166053888000*n^6*(n-1)^n/(n-1)^3 /(n^n)^2*(n-6)^n/(n-6)^14+205398016/27*n^24*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^ n/(n-2)^6-11300864/3*n^23*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6+ 295153472/27*n^26*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6-692962336/81*n^ 27*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6+3457024/3*n^22*((n-1)^n)^6/(n-1 )^24/(n^n)^7*(n-2)^n/(n-2)^6-861543040/81*n^25*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-\ 2)^n/(n-2)^6-163840*n^21*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6-818162656 /27*n^26*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^7-23168654/27*n^26*((n-1)^n )^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+54862528/27*n^25*((n-1)^n)^5/(n-1)^21/(n^n )^6*(n-2)^n/(n-2)^6-101238584/27*n^24*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2 )^6-1/54*n^34*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+23/27*n^33*((n-1)^n) 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1995056/9*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-168512*n^14*((n-1)^ n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+76032*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*( n-2)^n/(n-2)^6-15360*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+7/36*n^ 22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-287/36*n^21*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^7+1337/9*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-\ 3)^7-29981/18*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+150409/12*n^18* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-801997/12*n^17*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^7+4674397/18*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n /(n-3)^7-6697684/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+14147560/9 *n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7-21740348/9*n^13*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+7867384/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^7-1902432*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^7+ 185862479/9*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+1520502736/3*n^9*(n-1 )^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-446570528*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-4 )^n/(n-4)^12+1783730608/9*n^11*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-\ 224103814/3*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+231688320*n^7*(n-1)^n /(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-267*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4 )^12+73/9*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+47213/9*n^17*(n-1)^n/(n -1)^3/(n^n)^2*(n-4)^n/(n-4)^12+1895113/3*n^15*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/( n-4)^12-37913249/9*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-617705/9*n^16* (n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-3413047648/9*n^10*(n-1)^n/(n-1)^3/(n^n )^2*(n-4)^n/(n-4)^12-53222400*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12-1/9* n^20*(n-1)^n/(n-1)^3/(n^n)^2*(n-4)^n/(n-4)^12+522018200/3*n^16*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-4)^n/(n-4)^12+2190358528*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^ n/(n-4)^12-1687244064*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+ 1163418144*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-1564176746/3*n^15* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+774898560*n^10*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-4)^n/(n-4)^12-52019/6*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4 )^12+2549/6*n^22*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+237377/2*n^20*((n -1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12+49283927/6*n^18*((n-1)^n)^2/(n-1)^6/( n^n)^3*(n-4)^n/(n-4)^12-87229659/2*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-\ 4)^12-6920749/6*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-5693801752/3* n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4)^12-159667200*n^9*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-4)^n/(n-4)^12+1/6*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-4)^n/(n-4 )^12-17/6*n^21*((n-1)^n)^5/(n-1)^17/(n^n)^5+61/3*n^20*((n-1)^n)^5/(n-1)^17/(n^n )^5-80*n^19*((n-1)^n)^5/(n-1)^17/(n^n)^5+560/3*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^ 5-776/3*n^17*((n-1)^n)^5/(n-1)^17/(n^n)^5+592/3*n^16*((n-1)^n)^5/(n-1)^17/(n^n) ^5+1/6/(n^n)*n^14*(n-5)^n/(n-5)^9-15/2/(n^n)*n^13*(n-5)^n/(n-5)^9+448/3/(n^n)*n ^12*(n-5)^n/(n-5)^9-1735/(n^n)*n^11*(n-5)^n/(n-5)^9+26111/2/(n^n)*n^10*(n-5)^n/ (n-5)^9-133455/2/(n^n)*n^9*(n-5)^n/(n-5)^9+708109/3/(n^n)*n^8*(n-5)^n/(n-5)^9-\ 576810/(n^n)*n^7*(n-5)^n/(n-5)^9+2856308/3/(n^n)*n^6*(n-5)^n/(n-5)^9+28671863/ 36/(n^n)*n^10*(n-4)^n/(n-4)^12+125556848/3/(n^n)*n^6*(n-4)^n/(n-4)^12-43003996/ (n^n)*n^5*(n-4)^n/(n-4)^12+103818484/9/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/36/ (n^n)*n^9*(n-4)^n/(n-4)^12+25634640/(n^n)*n^4*(n-4)^n/(n-4)^12-71/36/(n^n)*n^15 *(n-4)^n/(n-4)^12+1/36/(n^n)*n^16*(n-4)^n/(n-4)^12+2261/36/(n^n)*n^14*(n-4)^n/( n-4)^12+59147/4/(n^n)*n^12*(n-4)^n/(n-4)^12-1540231/12/(n^n)*n^11*(n-4)^n/(n-4) ^12-42691/36/(n^n)*n^13*(n-4)^n/(n-4)^12-238295684/9/(n^n)*n^7*(n-4)^n/(n-4)^12 -6652800/(n^n)*n^3*(n-4)^n/(n-4)^12+264192*n^22*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n -2)^n/(n-2)^4-36864*n^21*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4+1/216*n^ 38*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4-23/108*n^37*((n-1)^n)^6/(n-1)^ 26/(n^n)^7*(n-2)^n/(n-2)^4+989/216*n^36*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n -2)^4-6599/108*n^35*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4+122423/216*n^ 34*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4-418781/108*n^33*((n-1)^n)^6/(n-\ 1)^26/(n^n)^7*(n-2)^n/(n-2)^4+1458629/72*n^32*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2 )^n/(n-2)^4-8915137/108*n^31*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4+ 14338915/54*n^30*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4-18307525/27*n^29* ((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4+37103162/27*n^28*((n-1)^n)^6/(n-1) ^26/(n^n)^7*(n-2)^n/(n-2)^4-59327212/27*n^27*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2) ^n/(n-2)^4+73907368/27*n^26*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4-\ 23401232/9*n^25*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^4+5453824/3*n^24*((n 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219932800/27*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^5+48917504/9*n^21* ((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^5-7577600/3*n^20*((n-1)^n)^5/(n-1)^ 23/(n^n)^6*(n-3)^n/(n-3)^5+729088*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-\ 3)^5-98304*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^5+245760*n^19*((n-1) ^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-36864*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^6* (n-2)^n/(n-2)^4-1/108*n^34*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+11/27*n ^33*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-901/108*n^32*((n-1)^n)^5/(n-1) ^23/(n^n)^6*(n-2)^n/(n-2)^4+2849/27*n^31*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/( n-2)^4-99631/108*n^30*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+159575/27*n^ 29*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-3099287/108*n^28*((n-1)^n)^5/(n -1)^23/(n^n)^6*(n-2)^n/(n-2)^4+2907925/27*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-\ 2)^n/(n-2)^4-8523065/27*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+ 19568920/27*n^25*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-35068484/27*n^24* ((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+48517456/27*n^23*((n-1)^n)^5/(n-1) ^23/(n^n)^6*(n-2)^n/(n-2)^4-16926608/9*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^ n/(n-2)^4+4316416/3*n^21*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4-758272*n^ 20*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^4+1/1296*n^34*((n-1)^n)^4/(n-1)^ 20/(n^n)^5*(n-4)^n/(n-4)^6-7/162*n^33*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4 )^6+41/36*n^32*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6-169/9*n^31*((n-1)^n )^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+46895/216*n^30*((n-1)^n)^4/(n-1)^20/(n^n)^ 5*(n-4)^n/(n-4)^6-100981/54*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+ 2015663/162*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6-5300069/81*n^27*( (n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+39737461/144*n^26*((n-1)^n)^4/(n-1) ^20/(n^n)^5*(n-4)^n/(n-4)^6-8472430/9*n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n /(n-4)^6+281651693/108*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6-\ 158371867/27*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+863835811/81*n^ 22*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6-1258158776/81*n^21*((n-1)^n)^4/ (n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+160676260/9*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5* (n-4)^n/(n-4)^6-15817744*n^19*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+ 31238272/3*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6-4790784*n^17*((n-1 )^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+1373184*n^16*((n-1)^n)^4/(n-1)^20/(n^n) ^5*(n-4)^n/(n-4)^6-184320*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^6+1/ 216*n^32*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-2/9*n^31*((n-1)^n)^4/(n-1 )^20/(n^n)^5*(n-3)^n/(n-3)^5+359/72*n^30*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/( n-3)^5-625/9*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+16135/24*n^28*(( n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-43201/9*n^27*((n-1)^n)^4/(n-1)^20/(n ^n)^5*(n-3)^n/(n-3)^5+5652487/216*n^26*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-\ 3)^5-333734/3*n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+6718255/18*n^24 *((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5-8943530/9*n^23*((n-1)^n)^4/(n-1)^ 20/(n^n)^5*(n-3)^n/(n-3)^5+2098966*n^22*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n -3)^5-31465232/9*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^5+1/6*n^22*((n -1)^n)^5/(n-1)^17/(n^n)^5-1/9*n^24*(n-1)^n/(n-1)^3/(n^n)^2/(n-6)^14*(n-6)^n+85/ 6*(n-2)^n/(n-2)^6/(n^n)*n^6-75/2*(n-2)^n/(n-2)^6/(n^n)*n^5+137/3*(n-2)^n/(n-2)^ 6/(n^n)*n^4-20*(n-2)^n/(n-2)^6/(n^n)*n^3+1/6*(n-2)^n/(n-2)^6/(n^n)*n^8-5/2*(n-2 )^n/(n-2)^6/(n^n)*n^7-23186918/81*n^31*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-\ 2)^6+76946276/81*n^30*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6-202399672/81 *n^29*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6+421927280/81*n^28*((n-1)^n)^ 6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6+88280207/9*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-3)^n/(n-3)^9-270395134/9*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+ 651435812/9*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-1227513256/9*n^21 *((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+198544656*n^20*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-3)^n/(n-3)^9-1967148448/9*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3) ^n/(n-3)^9+527062400/3*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-\ 97122816*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+32950272*n^16*((n-1) ^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-5160960*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^ 5*(n-3)^n/(n-3)^9-16345411618/9*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4) ^10+11368609300/3*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10-\ 56552829208/9*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10+8159257776*n^ 20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10-8106817760*n^19*((n-1)^n)^4/(n -1)^16/(n^n)^5*(n-4)^n/(n-4)^10+5941985664*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n 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11081904512/27*n^23*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^9-11030968192/27 *n^22*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^9+2690986496/9*n^21*((n-1)^n)^ 5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^9-151463936*n^20*((n-1)^n)^5/(n-1)^19/(n^n)^6* (n-3)^n/(n-3)^9+47374336*n^19*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^9-\ 6881280*n^18*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n-3)^9+1/36*n^34*((n-1)^n)^4 /(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10-2*n^33*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/ (n-4)^10+1205/18*n^32*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10-24931/18*n^ 31*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10+178774/9*n^30*((n-1)^n)^4/(n-1 )^16/(n^n)^5*(n-4)^n/(n-4)^10-3777715/18*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4 )^n/(n-4)^10+30503257/18*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10-\ 192673093/18*n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^10-5/3*n^31*((n-1) ^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+1663/36*n^30*((n-1)^n)^4/(n-1)^16/(n^n)^ 5*(n-3)^n/(n-3)^9-14143/18*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+ 330763/36*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9-705638/9*n^27*((n-1 )^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+18205289/36*n^26*((n-1)^n)^4/(n-1)^16/( n^n)^5*(n-3)^n/(n-3)^9-45336907/18*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n -3)^9+1/36*n^32*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^9+16813952/3*n^14*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-85481888/9*n^13*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^9+101433920/9*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^9-26579456/3*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+4129792*n^10*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-860160*n^9*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^9+2/9*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-98/9*n^ 21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+240*n^20*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^9-28348/9*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-\ 315102944/27*n^25*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8+78972832/9*n^24* ((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8-4551552*n^23*((n-1)^n)^6/(n-1)^22/ (n^n)^7*(n-2)^n/(n-2)^8+1453568*n^22*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2) ^8-215040*n^21*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8+1/216*n^38*((n-1)^n )^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8-1/4*n^37*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2 )^n/(n-2)^8+1351/216*n^36*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8-5201/54* n^35*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8+220903/216*n^34*((n-1)^n)^6/( n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8-858427/108*n^33*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n -2)^n/(n-2)^8+10115561/216*n^32*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8-\ 5769988/27*n^31*((n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8+20648653/27*n^30*( (n-1)^n)^6/(n-1)^22/(n^n)^7*(n-2)^n/(n-2)^8-58288550/27*n^29*((n-1)^n)^6/(n-1)^ 22/(n^n)^7*(n-2)^n/(n-2)^8-1783/54*n^34*((n-1)^n)^5/(n-1)^19/(n^n)^6*(n-3)^n/(n 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1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-1007840/(n^n)*n^5*(n-5)^n/(n-5)^9+613056/( n^n)*n^4*(n-5)^n/(n-5)^9-161280/(n^n)*n^3*(n-5)^n/(n-5)^9-1474560*n^18*((n-1)^n )^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^7-2423808*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^6* (n-2)^n/(n-2)^6+802816*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6-\ 154722208/27*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6+40442368/9*n^21* ((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^6-122880*n^18*((n-1)^n)^5/(n-1)^21/( n^n)^6*(n-2)^n/(n-2)^6+144004000/27*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/( n-2)^6+2546588332/27*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8-\ 6084624344/27*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8+35143580080/81* n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8-54034536032/81*n^21*((n-1)^n) ^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8+21789119552/27*n^20*((n-1)^n)^4/(n-1)^18/(n ^n)^5*(n-4)^n/(n-4)^8-6753612160/9*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n -4)^8+516993024*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8-248262656*n^ 17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8+74072064*n^16*((n-1)^n)^4/(n-1) ^18/(n^n)^5*(n-4)^n/(n-4)^8-10321920*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/ (n-4)^8+1/81*n^34*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8-62/81*n^33*((n-1 )^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^8+7/36/(n^n)*n^18*(n-6)^n/(n-6)^12-140/9/ (n^n)*n^17*(n-6)^n/(n-6)^12-112805/9/(n^n)*n^15*(n-6)^n/(n-6)^12+3366167/18/(n^ n)*n^14*(n-6)^n/(n-6)^12-17964485/9/(n^n)*n^13*(n-6)^n/(n-6)^12+141582980/9/(n^ n)*n^12*(n-6)^n/(n-6)^12-838213915/9/(n^n)*n^11*(n-6)^n/(n-6)^12+5110/9/(n^n)*n ^16*(n-6)^n/(n-6)^12+15017659811/36/(n^n)*n^10*(n-6)^n/(n-6)^12+26244041404/3/( n^n)*n^6*(n-6)^n/(n-6)^12-7682111360/(n^n)*n^5*(n-6)^n/(n-6)^12+32183909660/9/( n^n)*n^8*(n-6)^n/(n-6)^12-12706790635/9/(n^n)*n^9*(n-6)^n/(n-6)^12+4007976000/( n^n)*n^4*(n-6)^n/(n-6)^12-59800891780/9/(n^n)*n^7*(n-6)^n/(n-6)^12-931392000/(n ^n)*n^3*(n-6)^n/(n-6)^12-1840149/2*n^25*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-\ 6)^16+180613/4*n^26*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16+1549366031/108 *n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-1051526743/6*n^23*((n-1)^n)^ 2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16+122665667951/72*n^22*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-6)^n/(n-6)^16-1437723286753/108*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^ n/(n-6)^16+6055495223401/72*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-\ 1722825767273/4*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16+ 96494066603821/54*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-\ 53859873490765/9*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16+ 144584871679426/9*n^16*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16+ 66004775199040*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-41894180371200 *n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16+510305335399240/9*n^14*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-922973297076532/27*n^15*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-6)^n/(n-6)^16+16277821056000*n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*( n-6)^n/(n-6)^16-214523937906832/3*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6 )^16-2905943040000*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-23/36*n^29* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-6)^n/(n-6)^16-17957/18*n^25*((n-1)^n)^2/(n-1)^6/ (n^n)^3*(n-5)^n/(n-5)^15+1609/54*n^26*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5) ^15+826787/36*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-3473348/9*n^23* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+132433859/27*n^22*((n-1)^n)^2/(n-1 )^6/(n^n)^3*(n-5)^n/(n-5)^15-2603379727/54*n^21*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 5)^n/(n-5)^15+80266310293/216*n^20*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15 -81517741591/36*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+197031950609/ 18*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-377580815443/9*n^17*((n-1) ^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+3426089931818/27*n^16*((n-1)^n)^2/(n-1)^ 6/(n^n)^3*(n-5)^n/(n-5)^15+743187323840*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^ n/(n-5)^15-502951026944*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+ 14755102926728/27*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-\ 8102138361260/27*n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15+206705372160 *n^10*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-6736953815824/9*n^13*((n-1)^ n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^15-38745907200*n^9*((n-1)^n)^2/(n-1)^6/(n^n) ^3*(n-5)^n/(n-5)^15+3797/6*n^24*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-\ 96403/6*n^23*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-20811757/6*n^21*((n-1 )^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+64732733/2*n^20*((n-1)^n)^2/(n-1)^6/(n^ n)^3*(n-5)^n/(n-5)^13-1382427761/6*n^19*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-\ 5)^13+3798344264/3*n^18*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-\ 16197003394/3*n^17*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+1666787/6*n^22* ((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+53573955968/3*n^16*((n-1)^n)^2/(n-\ 1)^6/(n^n)^3*(n-5)^n/(n-5)^13+132908012928*n^12*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-\ 5)^n/(n-5)^13-93545759232*n^11*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+ 265204116352/3*n^14*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-136618356472/3 *n^15*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+39749806080*n^10*((n-1)^n)^2 /(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13-127833808544*n^13*((n-1)^n)^2/(n-1)^6/(n^n)^3 *(n-5)^n/(n-5)^13-7664025600*n^9*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5)^13+ 107/9*n^23*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^14+4/9*n^18*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-2)^n/(n-2)^6-104/9*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^ 6+392/3*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-2528/3*n^15*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+3412*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n /(n-2)^6-8984*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6+138224/9*n^12*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-147616/9*n^11*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^6+29696/3*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-\ 2560*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^6-7/9*n^16*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^7+224/9*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-350*n ^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^7-224/3/(n^n)*n^15*(n-5)^n/(n-5)^11+ 12887/6/(n^n)*n^14*(n-5)^n/(n-5)^11-110194/3/(n^n)*n^13*(n-5)^n/(n-5)^11+832447 /2/(n^n)*n^12*(n-5)^n/(n-5)^11-3296524/(n^n)*n^11*(n-5)^n/(n-5)^11+7/6/(n^n)*n^ 16*(n-5)^n/(n-5)^11+112511861/6/(n^n)*n^10*(n-5)^n/(n-5)^11+738158792/(n^n)*n^6 *(n-5)^n/(n-5)^11-717604608/(n^n)*n^5*(n-5)^n/(n-5)^11+696250016/3/(n^n)*n^8*(n -5)^n/(n-5)^11-232406482/3/(n^n)*n^9*(n-5)^n/(n-5)^11+407675520/(n^n)*n^4*(n-5) ^n/(n-5)^11-1491224504/3/(n^n)*n^7*(n-5)^n/(n-5)^11-101606400/(n^n)*n^3*(n-5)^n /(n-5)^11-994412502272/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-\ 5960908800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-55483/2*n^24*(n-1)^n/(n -1)^5/(n^n)^2*(n-7)^n/(n-7)^15+164447/162*n^25*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/ (n-7)^15+15213587/27*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15-1430584763/ 162*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15+8863919651/81*n^21*(n-1)^n/(n -1)^5/(n^n)^2*(n-7)^n/(n-7)^15-353170427501/324*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n -7)^n/(n-7)^15-6314863338277/108*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15+ 17189212215929/54*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15-115446247013659 /81*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15+424418084250926/81*n^15*(n-1) ^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15-1275350762076404/81*n^14*(n-1)^n/(n-1)^5/(n ^n)^2*(n-7)^n/(n-7)^15+1429558347407/162*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/( n-7)^15+3108232908804616/81*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15+ 118947187060736*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^15-72006994821120*n^8 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9+442211/9/(n^n)*n^6*(n-3)^n/(n-3)^9-605206/9/(n^n)*n^5*(n-3)^n/(n-3)^9+50456/( n^n)*n^4*(n-3)^n/(n-3)^9-15680/(n^n)*n^3*(n-3)^n/(n-3)^9+6960974420736000/(n^n) *n^4*(n-8)^n/(n-8)^18-22170581095340624/(n^n)*n^7*(n-8)^n/(n-8)^18-\ 1383228887040000/(n^n)*n^3*(n-8)^n/(n-8)^18-14315/6/(n^n)*n^21*(n-7)^n/(n-7)^17 +11375/216/(n^n)*n^22*(n-7)^n/(n-7)^17-1759611/(n^n)*n^19*(n-7)^n/(n-7)^17+ 2710841/36/(n^n)*n^20*(n-7)^n/(n-7)^17-13/18/(n^n)*n^23*(n-7)^n/(n-7)^17+1/216/ (n^n)*n^24*(n-7)^n/(n-7)^17+3410929895/108/(n^n)*n^18*(n-7)^n/(n-7)^17-\ 4012416245/9/(n^n)*n^17*(n-7)^n/(n-7)^17+1085805063581/216/(n^n)*n^16*(n-7)^n/( n-7)^17-274362357451/6/(n^n)*n^15*(n-7)^n/(n-7)^17+24300874309985/72/(n^n)*n^14 *(n-7)^n/(n-7)^17-4052032185565/2/(n^n)*n^13*(n-7)^n/(n-7)^17+533646876597799/ 54/(n^n)*n^12*(n-7)^n/(n-7)^17-351100653030374/9/(n^n)*n^11*(n-7)^n/(n-7)^17+ 3339719872852090/27/(n^n)*n^10*(n-7)^n/(n-7)^17+993003699173760/(n^n)*n^6*(n-7) ^n/(n-7)^17-741371413132800/(n^n)*n^5*(n-7)^n/(n-7)^17+611013623414936/(n^n)*n^ 8*(n-7)^n/(n-7)^17-311301150573560/(n^n)*n^9*(n-7)^n/(n-7)^17+336907759104000/( n^n)*n^4*(n-7)^n/(n-7)^17-911344759485216/(n^n)*n^7*(n-7)^n/(n-7)^17-\ 69742632960000/(n^n)*n^3*(n-7)^n/(n-7)^17-1/324*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^12+20/81*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1463/162*n^ 20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-7/324*n^24*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^13+56/27*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-4963/54*n^ 22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+134827/54*n^21*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^13-419230/9*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-\ 1054318643/162*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+2787269849/54*n^17 *(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-34593730171/108*n^16*(n-1)^n/(n-1)^5/ (n^n)^2*(n-5)^n/(n-5)^13+84592889381/54*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^13-6050459506*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+34211359/54*n^ 19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+496941957148/27*n^13*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^13+331800157696/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/( n-5)^13-75582560256*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+721121079448/9 *n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-3543818548564/81*n^12*(n-1)^n/(n -1)^5/(n^n)^2*(n-5)^n/(n-5)^13+31413258240*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/ (n-5)^13-28672*n^24*((n-1)^n)^8/(n-1)^32/(n^n)^8+1/216*n^28*((n-1)^n)^2/(n-1)^6 /(n^n)^3*(n-5)^n/(n-5)^15-59/108*n^27*((n-1)^n)^2/(n-1)^6/(n^n)^3*(n-5)^n/(n-5) ^15-8599/108*n^24*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+34/27*n^25*(n-1)^n/( n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-1513565/18*n^22*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n /(n-6)^16+27988/9*n^23*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+15047776/9*n^21 *(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-1368792719/54*n^20*(n-1)^n/(n-1)^3/(n ^n)^2*(n-6)^n/(n-6)^16+8094947968/27*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6) ^16-303237420109/108*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+189080977774 /9*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-4542847401209/36*n^16*(n-1)^n/ (n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+5481292252124/9*n^15*(n-1)^n/(n-1)^3/(n^n)^2*( n-6)^n/(n-6)^16-63606313091077/27*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16 +195946614762436/27*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+ 48763897397440*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-34481755603200*n^8* (n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+298238197683232/9*n^11*(n-1)^n/(n-1)^3 /(n^n)^2*(n-6)^n/(n-6)^16+4360130225/162*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^12+786641080/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-586157248/3*n^ 8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+12464402260/81*n^11*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^12-5991724802/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^12+87578240*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-244258/81*n^18*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+32455/162*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 4)^n/(n-4)^12+5287915/162*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+ 259739645/162*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-2428307783/324*n^14 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-42561541/162*n^16*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^12-6408855332/27*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 12-17740800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+19/9*n^25*(n-1)^n/(n-1 )^5/(n^n)^2/(n-6)^14*(n-6)^n-6047/54*n^24*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^14*(n-6 )^n-1/54*n^26*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^14*(n-6)^n+1/81*n^26*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^12-82/81*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^12+3086/81*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-70762/81*n^23 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1/27*n^28*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^13-98/27*n^27*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+ 494/3*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-13786/3*n^25*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+795724/9*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -5)^n/(n-5)^13-11212034/9*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-\ 2991556238/27*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+2178229027/3*n^ 20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-3783702208*n^19*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-5)^n/(n-5)^13+141688740596/9*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-5)^n/(n-5)^13-470666725984/9*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^ 13+359881942/27*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+3728840166544 /27*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+508770283520*n^12*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-312991506432*n^11*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^13+1392374092096/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/ (n-5)^13-7758701035520/27*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+ 117921300480*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13-1705271701504/3* n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^13+1/36*n^30*((n-1)^n)^4/(n-1)^ 12/(n^n)^5*(n-3)^n/(n-3)^11-65/36*n^29*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-\ 3)^11+955/18*n^28*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11-5605/6*n^27*((n -1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+396553/36*n^26*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-3)^n/(n-3)^11+2/9*n^30*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-\ 106/9*n^29*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9+2560/9*n^28*((n-1)^n)^4 /(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-12460/3*n^27*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-\ 3)^n/(n-3)^9+369146/9*n^26*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-2612522 /9*n^25*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-3)^n/(n-3)^9-1817/3*n^26*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-4)^n/(n-4)^10+31847/3*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4) ^n/(n-4)^10-126573*n^24*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10-386071324 /3*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10+1122795268/3*n^19*((n-1)^ n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10-838208624*n^18*((n-1)^n)^3/(n-1)^11/(n^n )^4*(n-4)^n/(n-4)^10+4291624880/3*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-\ 4)^10-1823776192*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10+1678697280* n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10-1051637760*n^14*((n-1)^n)^3/ (n-1)^11/(n^n)^4*(n-4)^n/(n-4)^10+400315392*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4*( n-4)^n/(n-4)^10+1/36*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-7/18*n^ 20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+413/18*n^19*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^10-11039/18*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-\ 81049157/18*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+335555563/18*n^13*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-518040194/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^10+1186511536/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-\ 660994544/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+260300712*n^9*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-205209984*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^10+96437376*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-20321280*n^6*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+177121/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^10-635131/6*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+4844749/ 6*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+73/3*n^21*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^11-2443/3*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-1/3*n^ 22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^11-14918/81*n^35*((n-1)^n)^6/(n-1)^24/ (n^n)^7*(n-2)^n/(n-2)^6+143659/81*n^34*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-\ 2)^6-1018700/81*n^33*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6+5507597/81*n^ 32*((n-1)^n)^6/(n-1)^24/(n^n)^7*(n-2)^n/(n-2)^6+5158*n^21*(n-1)^n/(n-1)^5/(n^n) ^2*(n-6)^n/(n-6)^12-269957/3*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 99923096/9*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+748551814/9*n^17*(n-1) ^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-2935361011/6*n^16*(n-1)^n/(n-1)^5/(n^n)^2*( n-6)^n/(n-6)^12+4551624033/2*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 25169233153/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+3444553/3*n^19*(n-1 )^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+73327485152/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2 *(n-6)^n/(n-6)^12+127625829312*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 84845879040*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12+887132896648/9*n^11*(n -1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-502481364752/9*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-6)^n/(n-6)^12+34402176000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-\ 394340898704/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-6386688000*n^6*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^12-3315817/36*n^25*((n-1)^n)^4/(n-1)^12/(n^n )^5*(n-3)^n/(n-3)^11+5076940/9*n^24*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^ 11-23194270/9*n^23*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+79723204/9*n^ 22*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11-22919776*n^21*((n-1)^n)^4/(n-1 )^12/(n^n)^5*(n-3)^n/(n-3)^11+398759600/9*n^20*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-\ 3)^n/(n-3)^11-565955360/9*n^19*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+ 571208320/9*n^18*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11-43019712*n^17*(( n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3)^11+17511680*n^16*((n-1)^n)^4/(n-1)^12/ (n^n)^5*(n-3)^n/(n-3)^11-3225600*n^15*((n-1)^n)^4/(n-1)^12/(n^n)^5*(n-3)^n/(n-3 )^11+1738808764/3*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+12135922240 /3*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-2766257792*n^14*((n-1)^n)^ 3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+25348621232/9*n^17*((n-1)^n)^3/(n-1)^9/(n^n) ^4*(n-4)^n/(n-4)^12-13237215848/9*n^18*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4 )^12+1139642880*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-816169/9*n^24 *((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+19039/3*n^25*((n-1)^n)^3/(n-1)^9/ (n^n)^4*(n-4)^n/(n-4)^12+8345011/9*n^23*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-\ 4)^12+360256831/9*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-1567414354/ 9*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-63125425/9*n^22*((n-1)^n)^3 /(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12-35917358176/9*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^ 4*(n-4)^n/(n-4)^12-212889600*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-4)^n/(n-4)^12+ 10101053/216*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-21554153/108*n^ 17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+17535424/27*n^16*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-3)^n/(n-3)^9-43501718/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^9+81569338/27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-\ 113472404/27*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+37761328/9*n^12* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-2835136*n^11*((n-1)^n)^2/(n-1)^10/ (n^n)^3*(n-3)^n/(n-3)^9+1157888*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3) ^9-215040*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-11183685485/108*n^17 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+7539324814/27*n^16*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-15867955922/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-4)^n/(n-4)^10+2860141634/3*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4 )^10-3499775524/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+1039244528 *n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-634608576*n^11*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+236904192*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-4)^n/(n-4)^10-40642560*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+ 132824251/108*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-744308915/108* n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+6512180465/216*n^18*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+7/6/(n^n)*n^10*(n-3)^n/(n-3)^7-161/6/(n^n )*n^9*(n-3)^n/(n-3)^7+1519/6/(n^n)*n^8*(n-3)^n/(n-3)^7-7595/6/(n^n)*n^7*(n-3)^n /(n-3)^7+10829/3/(n^n)*n^6*(n-3)^n/(n-3)^7-17542/3/(n^n)*n^5*(n-3)^n/(n-3)^7+ 4956/(n^n)*n^4*(n-3)^n/(n-3)^7-1680/(n^n)*n^3*(n-3)^n/(n-3)^7-898615/54*n^28*(( n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15+57089/81*n^29*((n-1)^n)^3/(n-1)^9/(n ^n)^4*(n-5)^n/(n-5)^15+2591161/9*n^27*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5) ^15-306547894/81*n^26*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15+348123907/9* n^25*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15-33697782703/108*n^24*((n-1)^n )^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15+162409767533/81*n^23*((n-1)^n)^3/(n-1)^9/( n^n)^4*(n-5)^n/(n-5)^15-30949965800/3*n^22*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/ (n-5)^15+383075177368/9*n^21*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15-\ 11383149648952/81*n^20*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15+ 9969545483264/27*n^19*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15+ 1326217116416*n^15*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15-2425214852096/3 *n^14*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15+99442134601856/81*n^17*((n-1 )^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15-20639586432832/27*n^18*((n-1)^n)^3/(n-1 )^9/(n^n)^4*(n-5)^n/(n-5)^15+301437767680*n^13*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5 )^n/(n-5)^15-40325187092416/27*n^16*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^ 15-51661209600*n^12*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15+10/27*n^31*((n -1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15-556/27*n^30*((n-1)^n)^3/(n-1)^9/(n^n) ^4*(n-5)^n/(n-5)^15-1/324*n^32*((n-1)^n)^3/(n-1)^9/(n^n)^4*(n-5)^n/(n-5)^15-86/ 81*n^33*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12+3418/81*n^32*((n-1)^n)^4/ (n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12-83434/81*n^31*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n -4)^n/(n-4)^12+1402244/81*n^30*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12-\ 17240350/81*n^29*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12+1/81*n^34*((n-1) ^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12+1636498/27*n^26*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-6)^n/(n-6)^14-28223336/27*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6 )^14+1120497958/81*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14-\ 11655777824/81*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14-649484217460/ 81*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14+1179403158557/27*n^20*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14-5234529848392/27*n^19*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-6)^n/(n-6)^14+56774147785900/81*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-6)^n/(n-6)^14-166657835600192/81*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/( n-6)^14+96844399757/81*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14+ 394562596293584/81*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14+ 38821836845056/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14-\ 7495822909440*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14+122725517463872 /9*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14-745227615541888/81*n^15*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14+2677585920000*n^10*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-6)^n/(n-6)^14-139255230427136/9*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-6)^n/(n-6)^14-442810368000*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^14+ 733416792320/81*n^22*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12+59826585344/ 3*n^18*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12-32645636096/3*n^17*((n-1)^ n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12+1894784442752/81*n^20*((n-1)^n)^4/(n-1)^ 14/(n^n)^5*(n-4)^n/(n-4)^12-1336421322688/81*n^21*((n-1)^n)^4/(n-1)^14/(n^n)^5* (n-4)^n/(n-4)^12+3654062080*n^16*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12-\ 43146074/3*n^27*((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12+53607242/27*n^28* ((n-1)^n)^4/(n-1)^14/(n^n)^5*(n-4)^n/(n-4)^12+739029683/9*n^26*((n-1)^n)^4/(n-1 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1)^17/(n^n)^6*(n-3)^n/(n-3)^11-4884727240/81*n^26*((n-1)^n)^5/(n-1)^17/(n^n)^6* (n-3)^n/(n-3)^11+11431376240/81*n^25*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-3)^n/(n-3) ^11-20983227776/81*n^24*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-3)^n/(n-3)^11+ 29813122048/81*n^23*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-3)^n/(n-3)^11-32076546752/ 81*n^22*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-3)^n/(n-3)^11+8407696256/27*n^21*((n-1) ^n)^5/(n-1)^17/(n^n)^6*(n-3)^n/(n-3)^11-1516807168/9*n^20*((n-1)^n)^5/(n-1)^17/ (n^n)^6*(n-3)^n/(n-3)^11+168048640/3*n^19*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-3)^n/ (n-3)^11-8601600*n^18*((n-1)^n)^5/(n-1)^17/(n^n)^6*(n-3)^n/(n-3)^11-\ 475616000551684/27*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16+14824849536000 *n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-141378091810672/3*n^10*(n-1)^n/(n -1)^3/(n^n)^2*(n-6)^n/(n-6)^16-2905943040000*n^6*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^ n/(n-6)^16-1/108*n^26*(n-1)^n/(n-1)^3/(n^n)^2*(n-6)^n/(n-6)^16-517/27*n^22*(n-1 )^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+29/81*n^23*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n /(n-5)^15+5641/9*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-759095/54*n^20*( n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+6187601/27*n^19*(n-1)^n/(n-1)^3/(n^n)^2 *(n-5)^n/(n-5)^15-227742112/81*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+ 2147895503/81*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-21027715423/108*n^ 16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+10081671028/9*n^15*(n-1)^n/(n-1)^3/ (n^n)^2*(n-5)^n/(n-5)^15-136541924441/27*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/( n-5)^15+482077782004/27*n^13*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+ 538544915008/3*n^9*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-409284817664/3*n^8* (n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15+8284850379296/81*n^11*(n-1)^n/(n-1)^3/ (n^n)^2*(n-5)^n/(n-5)^15-3959713171612/81*n^12*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/ (n-5)^15+62444139520*n^7*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-4313501698288 /27*n^10*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15-12915302400*n^6*(n-1)^n/(n-1) ^3/(n^n)^2*(n-5)^n/(n-5)^15-1/324*n^24*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^15 -2/3*n^22*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+56/3*n^21*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-2)^n/(n-2)^6-692/3*n^20*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/ (n-2)^6+1656*n^19*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-7646*n^18*((n-1) ^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+23712*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4* (n-2)^n/(n-2)^6-149968/3*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+ 212032/3*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6-192160/3*n^14*((n-1) ^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+33536*n^13*((n-1)^n)^3/(n-1)^11/(n^n)^4* (n-2)^n/(n-2)^6-7680*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-2)^n/(n-2)^6+4/3*n^20 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-136/3*n^19*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^7+2056/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-\ 6080*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+35164*n^16*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-3)^n/(n-3)^7-139176*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^7+1153568/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-2223680/3*n^ 13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7+2928704/3*n^12*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^7-835712*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^7+417792*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-92160*n^9*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^7-1/3*n^22*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-\ 5)^13+89/3*n^21*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-3619/3*n^20*(n-1)^n/(n -1)^3/(n^n)^2*(n-5)^n/(n-5)^13-1488457/3*n^18*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/( n-5)^13+17834843/3*n^17*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13-158528513/3*n^ 16*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+1065370735/3*n^15*(n-1)^n/(n-1)^3/( n^n)^2*(n-5)^n/(n-5)^13-5465947058/3*n^14*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5) ^13+89165/3*n^19*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+21462112672/3*n^13*(n -1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+95114581632*n^9*(n-1)^n/(n-1)^3/(n^n)^2* (n-5)^n/(n-5)^13-75586862592*n^8*(n-1)^n/(n-1)^3/(n^n)^2*(n-5)^n/(n-5)^13+ 1245623984/3*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-4595430488/3*n^ 17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+175334*n^22*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-5)^n/(n-5)^11+4420071360*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/( n-5)^11+20766660096*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-\ 13314103296*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+153768001280/9*n^ 14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-29751703712/3*n^15*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+5198192640*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -5)^n/(n-5)^11-66354457216/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-\ 928972800*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+2/9*n^26*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11+1726/3*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5) ^n/(n-5)^11-36418/3*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-50/3*n^25 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^11-1/54*n^32*((n-1)^n)^3/(n-1)^13/(n ^n)^4/(n-5)^11*(n-5)^n+14/9*n^31*((n-1)^n)^3/(n-1)^13/(n^n)^4/(n-5)^11*(n-5)^n-\ 1645/27*n^30*((n-1)^n)^3/(n-1)^13/(n^n)^4/(n-5)^11*(n-5)^n+4439/3*n^29*((n-1)^n )^3/(n-1)^13/(n^n)^4/(n-5)^11*(n-5)^n-224960/9*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^ 4/(n-5)^11*(n-5)^n+936763/3*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4/(n-5)^11*(n-5)^n-\ 80831453/27*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4/(n-5)^11*(n-5)^n-1/18*n^30*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+35/9*n^29*((n-1)^n)^3/(n-1)^13/(n^n)^4* (n-4)^n/(n-4)^10-1135/9*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+ 22661/9*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10-312226/9*n^26*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^10+3153263/9*n^25*((n-1)^n)^3/(n-1)^13/(n^ n)^4*(n-4)^n/(n-4)^10-8065577/3*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4) ^10-1/54*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+29/27*n^27*((n-1)^n) ^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1547/54*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*( n-3)^n/(n-3)^9+12596/27*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-\ 280379/54*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+1130897/27*n^23*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1520189/6*n^22*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-3)^n/(n-3)^9-7331199023/54*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/ (n-5)^11+1976509135/3*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11-\ 23335957906/9*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11+24872483228/3* n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11-580557923720/27*n^20*((n-1)^ n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11+203054795/9*n^25*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-5)^n/(n-5)^11+404861973872/9*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n /(n-5)^11+74356602880*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11-\ 38587686912*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11+98777834176*n^17 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11-2029640246560/27*n^18*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11+12409159680*n^13*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-5)^n/(n-5)^11-298948485632/3*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n -5)^11-1857945600*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^11-469/648/(n ^n)*n^21*(n-6)^n/(n-6)^16+7/1296/(n^n)*n^22*(n-6)^n/(n-6)^16-41377/24/(n^n)*n^ 19*(n-6)^n/(n-6)^16+19439/432/(n^n)*n^20*(n-6)^n/(n-6)^16+9850169/216/(n^n)*n^ 18*(n-6)^n/(n-6)^16-95484263/108/(n^n)*n^17*(n-6)^n/(n-6)^16+8435737877/648/(n^ n)*n^16*(n-6)^n/(n-6)^16-48228897899/324/(n^n)*n^15*(n-6)^n/(n-6)^16+ 578943585857/432/(n^n)*n^14*(n-6)^n/(n-6)^16-229798900331/24/(n^n)*n^13*(n-6)^n /(n-6)^16+23527171396547/432/(n^n)*n^12*(n-6)^n/(n-6)^16-53210920133189/216/(n^ n)*n^11*(n-6)^n/(n-6)^16+71402857809493/81/(n^n)*n^10*(n-6)^n/(n-6)^16+ 30507740462360/3/(n^n)*n^6*(n-6)^n/(n-6)^16-8107113173600/(n^n)*n^5*(n-6)^n/(n-\ 6)^16+144042093511631/27/(n^n)*n^8*(n-6)^n/(n-6)^16-200100860215277/81/(n^n)*n^ 9*(n-6)^n/(n-6)^16+3900131088000/(n^n)*n^4*(n-6)^n/(n-6)^16-77944219640798/9/(n ^n)*n^7*(n-6)^n/(n-6)^16-847566720000/(n^n)*n^3*(n-6)^n/(n-6)^16-19/216/(n^n)*n ^19*(n-5)^n/(n-5)^15+1/1296/(n^n)*n^20*(n-5)^n/(n-5)^15+83/18/(n^n)*n^18*(n-5)^ n/(n-5)^15-5309/36/(n^n)*n^17*(n-5)^n/(n-5)^15+695387/216/(n^n)*n^16*(n-5)^n/(n -5)^15-305123/6/(n^n)*n^15*(n-5)^n/(n-5)^15+48697207/81/(n^n)*n^14*(n-5)^n/(n-5 )^15-586105949/108/(n^n)*n^13*(n-5)^n/(n-5)^15+605143253/16/(n^n)*n^12*(n-5)^n/ (n-5)^15-14717052779/72/(n^n)*n^11*(n-5)^n/(n-5)^15+23097691526/27/(n^n)*n^10*( n-5)^n/(n-5)^15+15662182184/(n^n)*n^6*(n-5)^n/(n-5)^15-40663135648/3/(n^n)*n^5* (n-5)^n/(n-5)^15+543983918209/81/(n^n)*n^8*(n-5)^n/(n-5)^15-8258229161/3/(n^n)* n^9*(n-5)^n/(n-5)^15+6998311040/(n^n)*n^4*(n-5)^n/(n-5)^15-327748252802/27/(n^n )*n^7*(n-5)^n/(n-5)^15-1614412800/(n^n)*n^3*(n-5)^n/(n-5)^15-7701505/12/(n^n)*n ^21*(n-8)^n/(n-8)^18+29986831/1296/(n^n)*n^22*(n-8)^n/(n-8)^18-2119803236/9/(n^ n)*n^19*(n-8)^n/(n-8)^18+2234902961/162/(n^n)*n^20*(n-8)^n/(n-8)^18-11207/18/(n ^n)*n^23*(n-8)^n/(n-8)^18+7619/648/(n^n)*n^24*(n-8)^n/(n-8)^18-5/36/(n^n)*n^25* (n-8)^n/(n-8)^18+1/1296/(n^n)*n^26*(n-8)^n/(n-8)^18+4208758135711/1296/(n^n)*n^ 18*(n-8)^n/(n-8)^18-1316550755275/36/(n^n)*n^17*(n-8)^n/(n-8)^18+ 219581251166879/648/(n^n)*n^16*(n-8)^n/(n-8)^18-5189275872963/2/(n^n)*n^15*(n-8 )^n/(n-8)^18+21312867060040321/1296/(n^n)*n^14*(n-8)^n/(n-8)^18-\ 3103700929861085/36/(n^n)*n^13*(n-8)^n/(n-8)^18+120741912097216117/324/(n^n)*n^ 12*(n-8)^n/(n-8)^18-11883407841432211/9/(n^n)*n^11*(n-8)^n/(n-8)^18+ 307823589136634431/81/(n^n)*n^10*(n-8)^n/(n-8)^18+22716210312661440/(n^n)*n^6*( n-8)^n/(n-8)^18-16063121169043200/(n^n)*n^5*(n-8)^n/(n-8)^18+47787949556598164/ 3/(n^n)*n^8*(n-8)^n/(n-8)^18-26310254319848660/3/(n^n)*n^9*(n-8)^n/(n-8)^18-11/ 12*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+122/9*n^18*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/2*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^6+8159/12*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-10745/4*n^15*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/18*n^14*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-2)^n/(n-2)^6-43447/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2 )^6+173818/9*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-16792*n^11*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+8544*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^6-1920*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/18*n^18 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/18*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^9-493/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+6101/9*n^15*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11017/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^9+185677/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1108474/9*n^12 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+3146648/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2 *(n-3)^n/(n-3)^9-6317168/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+8736136 /9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-2628736/3*n^8*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^9+462464*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-107520 *n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+90303123836/27*n^19*((n-1)^n)^3/(n -1)^11/(n^n)^4*(n-4)^n/(n-4)^12+11507856064*n^15*((n-1)^n)^3/(n-1)^11/(n^n)^4*( n-4)^n/(n-4)^12-6897580544*n^14*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+ 296006364368/27*n^17*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-62034049496/ 9*n^18*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+2527656960*n^13*((n-1)^n)^ 3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-65667265/27*n^24*((n-1)^n)^3/(n-1)^11/(n^n) ^4*(n-4)^n/(n-4)^12+7371799/27*n^25*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^ 12+451137469/27*n^23*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12+10255704371/ 27*n^21*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-34280586070/27*n^20*((n-1 )^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12-4846717271/54*n^22*((n-1)^n)^3/(n-1)^ 11/(n^n)^4*(n-4)^n/(n-4)^12-118459830880/9*n^16*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n -4)^n/(n-4)^12-425779200*n^12*((n-1)^n)^3/(n-1)^11/(n^n)^4*(n-4)^n/(n-4)^12 In particular we have an indication that, X[2], and , X[4], are joint-asymptoically normal with limiting correlation exp(-2) -1/6 ------------------------------------------------------ 1/2 ((exp(-1) - exp(-2)) (-5/36 exp(-2) + 1/6 exp(-1))) and in decomals -.2268440705 ------------------------------------------------ We will now study how , X[3], and , X[4], intereact The, 1, 1, mixed moment of, X[3], and , X[4], is 11 n 2 10 n 2 9 n 2 8 n 2 n ((n - 1) ) 7 n ((n - 1) ) 77 n ((n - 1) ) 52 n ((n - 1) ) - ----------------- + ----------------- - ----------------- + ----------------- 9 n 2 9 n 2 9 n 2 9 n 2 12 (n - 1) (n ) 6 (n - 1) (n ) 12 (n - 1) (n ) 3 (n - 1) (n ) 7 n 2 6 n 2 n 9 n 8 23 n ((n - 1) ) 12 n ((n - 1) ) (n - 2) n 7 (n - 2) n - ----------------- + ----------------- + -------------- - ------------- 9 n 2 9 n 2 7 n 7 n (n - 1) (n ) (n - 1) (n ) 12 (n - 2) n 4 (n - 2) n n 7 n 6 n 5 n 4 175 (n - 2) n 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n + --------------- - --------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 3 (n - 2) n (n - 2) n n 3 60 (n - 2) n + -------------- 7 n (n - 2) n and in Maple notation -1/12*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^2+7/6*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^2-77/ 12*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^2+52/3*n^8*((n-1)^n)^2/(n-1)^9/(n^n)^2-23*n^7* ((n-1)^n)^2/(n-1)^9/(n^n)^2+12*n^6*((n-1)^n)^2/(n-1)^9/(n^n)^2+1/12*(n-2)^n/(n-\ 2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/(n^n)*n^7-\ 245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*(n-2)^n/(n-\ 2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3 The, 1, 2, mixed moment of, X[3], and , X[4], is 9 n 3 17 n 3 16 n 3 96 n ((n - 1) ) n ((n - 1) ) 23 n ((n - 1) ) ----------------- + ------------------ - ------------------ 14 n 3 14 n 3 14 n 3 (n - 1) (n ) 36 (n - 1) (n ) 36 (n - 1) (n ) 15 n 3 14 n 3 13 n 3 229 n ((n - 1) ) 1289 n ((n - 1) ) 2243 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 14 n 3 14 n 3 14 n 3 36 (n - 1) (n ) 36 (n - 1) (n ) 18 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 2471 n ((n - 1) ) 374 n ((n - 1) ) 288 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 14 n 3 14 n 3 14 n 3 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 12 n 11 n 10 n n (n - 3) 47 n (n - 3) 40 n (n - 3) 1865 n (n - 3) + --------------- - --------------- + --------------- - ----------------- n 10 n 10 n 10 n 10 72 n (n - 3) 72 n (n - 3) 3 n (n - 3) 12 n (n - 3) 9 n 8 n 7 n 27391 n (n - 3) 131957 n (n - 3) 631165 n (n - 3) + ----------------- - ------------------ + ------------------ n 10 n 10 n 10 24 n (n - 3) 24 n (n - 3) 36 n (n - 3) 6 n 5 n 4 n 655015 n (n - 3) 46833 n (n - 3) 33556 n (n - 3) - ------------------ + ----------------- - ----------------- n 10 n 10 n 10 18 n (n - 3) n (n - 3) n (n - 3) 3 n 11 n 2 10 n 2 10080 n (n - 3) n ((n - 1) ) 7 n ((n - 1) ) + ----------------- - ----------------- + ----------------- n 10 9 n 2 9 n 2 n (n - 3) 12 (n - 1) (n ) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 77 n ((n - 1) ) 52 n ((n - 1) ) 23 n ((n - 1) ) - ----------------- + ----------------- - ----------------- 9 n 2 9 n 2 9 n 2 12 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 6 n 2 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n 12 n ((n - 1) ) + --------------- - --------------- + -------------- + ----------------- 7 n 7 n 7 n 9 n 2 3 (n - 2) n (n - 2) n (n - 2) n (n - 1) (n ) 15 n n 14 n n n (n - 1) (n - 2) 5 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 7 5 n 2 7 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 13 n n 12 n n 65 n (n - 1) (n - 2) 80 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 7 5 n 2 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 1477 n (n - 1) (n - 2) 2205 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 9 n n 8 n n 19115 n (n - 1) (n - 2) 7610 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 1696 n (n - 1) (n - 2) 480 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 623 n (n - 1) (n - 2) - ------------------------- + -------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 11 n n 10 n n 6167 n (n - 1) (n - 2) 19579 n (n - 1) (n - 2) - -------------------------- + --------------------------- 4 n 2 8 4 n 2 8 24 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 9 n n 8 n n 59671 n (n - 1) (n - 2) 12431 n (n - 1) (n - 2) - -------------------------- + -------------------------- 4 n 2 8 4 n 2 8 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 7 n n 6 n n 1439 n (n - 1) (n - 2) 420 n (n - 1) (n - 2) - ------------------------- + ------------------------ 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - -------------------------- + -------------------------- 4 n 2 8 4 n 2 8 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) and in Maple notation 96*n^9*((n-1)^n)^3/(n-1)^14/(n^n)^3+1/36*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^3-23/ 36*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^3+229/36*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^3-\ 1289/36*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^3+2243/18*n^13*((n-1)^n)^3/(n-1)^14/(n^ n)^3-2471/9*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^3+374*n^11*((n-1)^n)^3/(n-1)^14/(n^ n)^3-288*n^10*((n-1)^n)^3/(n-1)^14/(n^n)^3+1/72/(n^n)*n^13*(n-3)^n/(n-3)^10-47/ 72/(n^n)*n^12*(n-3)^n/(n-3)^10+40/3/(n^n)*n^11*(n-3)^n/(n-3)^10-1865/12/(n^n)*n ^10*(n-3)^n/(n-3)^10+27391/24/(n^n)*n^9*(n-3)^n/(n-3)^10-131957/24/(n^n)*n^8*(n -3)^n/(n-3)^10+631165/36/(n^n)*n^7*(n-3)^n/(n-3)^10-655015/18/(n^n)*n^6*(n-3)^n /(n-3)^10+46833/(n^n)*n^5*(n-3)^n/(n-3)^10-33556/(n^n)*n^4*(n-3)^n/(n-3)^10+ 10080/(n^n)*n^3*(n-3)^n/(n-3)^10-1/12*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^2+7/6*n^10 *((n-1)^n)^2/(n-1)^9/(n^n)^2-77/12*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^2+52/3*n^8*((n -1)^n)^2/(n-1)^9/(n^n)^2-23*n^7*((n-1)^n)^2/(n-1)^9/(n^n)^2+1/12*(n-2)^n/(n-2)^ 7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/(n^n)*n^7-245/ 4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*(n-2)^n/(n-2)^7 /(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3+12*n^6*((n-1)^n)^2/(n-1)^9/(n^n)^2-1/36 *n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+5/6*n^14*(n-1)^n/(n-1)^5/(n^n)^2* (n-2)^n/(n-2)^7-65/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+80*n^12*(n-1) ^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-1477/4*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/ (n-2)^7+2205/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-19115/9*n^9*(n-1)^n /(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+7610/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-\ 2)^7-1696*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+480*n^6*(n-1)^n/(n-1)^5/( n^n)^2*(n-2)^n/(n-2)^7-13/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+623/12 *n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8-6167/24*n^11*(n-1)^n/(n-1)^4/(n^n )^2*(n-2)^n/(n-2)^8+19579/24*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8-59671 /36*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+12431/6*n^8*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^8-1439*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+420*n^6*( n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8-1/72*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^ n/(n-2)^8+11/24*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8 The, 1, 3, mixed moment of, X[3], and , X[4], is 18 n n 17 n n 7 n (n - 1) (n - 3) 1409 n (n - 1) (n - 3) --------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 18 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 16 n n 15 n n 5269 n (n - 1) (n - 3) 23219 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 14 n n 13 n n 30196 n (n - 1) (n - 3) 7230227 n (n - 1) (n - 3) + --------------------------- - ----------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 12 n n 11 n n 6561457 n (n - 1) (n - 3) 4329625 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 8198831 n (n - 1) (n - 3) 3604643 n (n - 1) (n - 3) + ----------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 1043584 n (n - 1) (n - 3) 533712 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 19 n n 120960 n (n - 1) (n - 3) n (n - 1) (n - 3) + --------------------------- - ---------------------------- 5 n 2 10 4 n 2 11 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 18 n n 17 n n 31 n (n - 1) (n - 3) 1721 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 11 4 n 2 11 216 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 16 n n 15 n n 14141 n (n - 1) (n - 3) 34067 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 11 4 n 2 11 216 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 14 n n 13 n n 385451 n (n - 1) (n - 3) 12473483 n (n - 1) (n - 3) + ---------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 72 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 12 n n 11 n n 24327083 n (n - 1) (n - 3) 8569726 n (n - 1) (n - 3) + ------------------------------ - ----------------------------- 4 n 2 11 4 n 2 11 216 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 10 n n 9 n n 17216177 n (n - 1) (n - 3) 7979177 n (n - 1) (n - 3) + ------------------------------ - ---------------------------- 4 n 2 11 4 n 2 11 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 2420158 n (n - 1) (n - 3) 429640 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 11 4 n 2 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 10 n 3 7 10 n 3 7 144 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 343 n ((n - 1) ) (n - 2) 1199 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 16691 n ((n - 1) ) (n - 2) 27063 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 106051 n ((n - 1) ) (n - 2) 44384 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 238966 n ((n - 1) ) (n - 2) 99503 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 27324 n ((n - 1) ) (n - 2) 13296 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n 2 n 2880 n ((n - 1) ) (n - 2) 18537 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 10 n 3 7 9 n 3 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 1218713 n ((n - 1) ) (n - 2) 266203 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 9 n 3 8 9 n 3 8 144 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 372421 n ((n - 1) ) (n - 2) 160529 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 9 n 3 8 9 n 3 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 45459 n ((n - 1) ) (n - 2) 22728 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 8 9 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 21 n 2 n 5040 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- + --------------------------- 9 n 3 8 9 n 3 8 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n 7 n ((n - 1) ) (n - 2) 791 n ((n - 1) ) (n - 2) - -------------------------- + ---------------------------- 9 n 3 8 9 n 3 8 24 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 184 n ((n - 1) ) (n - 2) 21701 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 9 n 3 8 9 n 3 8 3 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 19 n n 9 n 3 23 n 4 n (n - 1) (n - 3) 144 n ((n - 1) ) n ((n - 1) ) - ---------------------------- + ------------------ - ------------------- 5 n 2 10 14 n 3 19 n 4 144 (n - 1) (n ) (n - 3) (n - 1) (n ) 144 (n - 1) (n ) 22 n 4 21 n 4 20 n 4 2 n ((n - 1) ) 77 n ((n - 1) ) 331 n ((n - 1) ) + ----------------- - ------------------ + ------------------- 19 n 4 19 n 4 19 n 4 9 (n - 1) (n ) 24 (n - 1) (n ) 12 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 7531 n ((n - 1) ) 7439 n ((n - 1) ) 31249 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 19 n 4 19 n 4 19 n 4 48 (n - 1) (n ) 12 (n - 1) (n ) 18 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 31012 n ((n - 1) ) 14251 n ((n - 1) ) 4332 n ((n - 1) ) + --------------------- - --------------------- + -------------------- 19 n 4 19 n 4 19 n 4 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 13 n 4 17 n 16 n 2352 n ((n - 1) ) n (n - 4) 83 n (n - 4) - -------------------- + ---------------- - ---------------- 19 n 4 n 13 n 13 (n - 1) (n ) 432 n (n - 4) 432 n (n - 4) 15 n 14 n 13 n 3113 n (n - 4) 69823 n (n - 4) 348205 n (n - 4) + ----------------- - ------------------ + ------------------- n 13 n 13 n 13 432 n (n - 4) 432 n (n - 4) 144 n (n - 4) 12 n 11 n 10 n 3669523 n (n - 4) 84120179 n (n - 4) 472581109 n (n - 4) - -------------------- + --------------------- - ---------------------- n 13 n 13 n 13 144 n (n - 4) 432 n (n - 4) 432 n (n - 4) 6 n 5 n 8 n 45435949 n (n - 4) 45140216 n (n - 4) 371029373 n (n - 4) - -------------------- + -------------------- - --------------------- n 13 n 13 n 13 n (n - 4) n (n - 4) 27 n (n - 4) 9 n 4 n 7 n 489374743 n (n - 4) 26189040 n (n - 4) 269684896 n (n - 4) + --------------------- - -------------------- + --------------------- n 13 n 13 n 13 108 n (n - 4) n (n - 4) 9 n (n - 4) 3 n 17 n 3 16 n 3 6652800 n (n - 4) n ((n - 1) ) 23 n ((n - 1) ) + ------------------- + ------------------ - ------------------ n 13 14 n 3 14 n 3 n (n - 4) 24 (n - 1) (n ) 24 (n - 1) (n ) 15 n 3 14 n 3 13 n 3 229 n ((n - 1) ) 1289 n ((n - 1) ) 2243 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 14 n 3 14 n 3 14 n 3 24 (n - 1) (n ) 24 (n - 1) (n ) 12 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 2471 n ((n - 1) ) 561 n ((n - 1) ) 432 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 14 n 3 14 n 3 14 n 3 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 12 n 11 n 10 n n (n - 3) 47 n (n - 3) 40 n (n - 3) 1865 n (n - 3) + --------------- - --------------- + --------------- - ----------------- n 10 n 10 n 10 n 10 24 n (n - 3) 24 n (n - 3) n (n - 3) 4 n (n - 3) 9 n 8 n 7 n 27391 n (n - 3) 131957 n (n - 3) 631165 n (n - 3) + ----------------- - ------------------ + ------------------ n 10 n 10 n 10 8 n (n - 3) 8 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 655015 n (n - 3) 140499 n (n - 3) 100668 n (n - 3) - ------------------ + ------------------ - ------------------ n 10 n 10 n 10 6 n (n - 3) n (n - 3) n (n - 3) 3 n 11 n 2 10 n 2 30240 n (n - 3) n ((n - 1) ) 7 n ((n - 1) ) + ----------------- - ----------------- + ----------------- n 10 9 n 2 9 n 2 n (n - 3) 12 (n - 1) (n ) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 77 n ((n - 1) ) 52 n ((n - 1) ) 23 n ((n - 1) ) - ----------------- + ----------------- - ----------------- 9 n 2 9 n 2 9 n 2 12 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 6 n 2 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n 12 n ((n - 1) ) + --------------- - --------------- + -------------- + ----------------- 7 n 7 n 7 n 9 n 2 3 (n - 2) n (n - 2) n (n - 2) n (n - 1) (n ) 12 n 4 6 n n 576 n ((n - 1) ) 100800 n (n - 1) (n - 3) + ------------------- + --------------------------- 19 n 4 4 n 2 11 (n - 1) (n ) (n - 1) (n ) (n - 3) 15 n n 14 n n n (n - 1) (n - 2) 5 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 7 5 n 2 7 24 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 13 n n 12 n n 65 n (n - 1) (n - 2) 120 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 4431 n (n - 1) (n - 2) 6615 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 7 5 n 2 7 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n n 8 n n 19115 n (n - 1) (n - 2) 3805 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 7 5 n 2 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 2544 n (n - 1) (n - 2) 720 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n n 12 n n 39 n (n - 1) (n - 2) 623 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n n 10 n n 6167 n (n - 1) (n - 2) 19579 n (n - 1) (n - 2) - -------------------------- + --------------------------- 4 n 2 8 4 n 2 8 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 9 n n 8 n n 59671 n (n - 1) (n - 2) 12431 n (n - 1) (n - 2) - -------------------------- + -------------------------- 4 n 2 8 4 n 2 8 12 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 4317 n (n - 1) (n - 2) 1260 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n n 14 n n n (n - 1) (n - 2) 11 n (n - 1) (n - 2) - -------------------------- + ------------------------- 4 n 2 8 4 n 2 8 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) and in Maple notation 7/18*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-1409/144*n^17*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^10+5269/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 10-23219/16*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+30196/3*n^14*(n-1)^n/ (n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-7230227/144*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^10+6561457/36*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-4329625/9* n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+8198831/9*n^10*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^10-3604643/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+ 1043584*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-533712*n^7*(n-1)^n/(n-1)^5 /(n^n)^2*(n-3)^n/(n-3)^10+120960*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-1 /432*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11+31/216*n^18*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^11-1721/432*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11 +14141/216*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11-34067/48*n^15*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11+385451/72*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^11-12473483/432*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11+24327083/ 216*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11-8569726/27*n^11*(n-1)^n/(n-1) ^4/(n^n)^2*(n-3)^n/(n-3)^11+17216177/27*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n -3)^11-7979177/9*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11+2420158/3*n^8*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11-429640*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^11+1/144*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-13/48*n^20*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+343/72*n^19*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-2)^n/(n-2)^7-1199/24*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7 +16691/48*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-27063/16*n^16*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+106051/18*n^15*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-2)^n/(n-2)^7-44384/3*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+ 238966/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-99503/3*n^12*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+27324*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-2)^n/(n-2)^7-13296*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+2880*n^9 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-18537/8*n^16*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-2)^n/(n-2)^8+1218713/144*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n -2)^8-266203/12*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^8+372421/9*n^13* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^8-160529/3*n^12*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-2)^n/(n-2)^8+45459*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^8-\ 22728*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^8+5040*n^9*((n-1)^n)^2/(n-\ 1)^9/(n^n)^3*(n-2)^n/(n-2)^8+1/144*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-\ 2)^8-7/24*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^8+791/144*n^19*((n-1)^ n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^8-184/3*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 2)^n/(n-2)^8+21701/48*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^8-1/144*n^ 19*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+144*n^9*((n-1)^n)^3/(n-1)^14/(n^n)^ 3-1/144*n^23*((n-1)^n)^4/(n-1)^19/(n^n)^4+2/9*n^22*((n-1)^n)^4/(n-1)^19/(n^n)^4 -77/24*n^21*((n-1)^n)^4/(n-1)^19/(n^n)^4+331/12*n^20*((n-1)^n)^4/(n-1)^19/(n^n) ^4-7531/48*n^19*((n-1)^n)^4/(n-1)^19/(n^n)^4+7439/12*n^18*((n-1)^n)^4/(n-1)^19/ (n^n)^4-31249/18*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^4+31012/9*n^16*((n-1)^n)^4/(n-\ 1)^19/(n^n)^4-14251/3*n^15*((n-1)^n)^4/(n-1)^19/(n^n)^4+4332*n^14*((n-1)^n)^4/( n-1)^19/(n^n)^4-2352*n^13*((n-1)^n)^4/(n-1)^19/(n^n)^4+1/432/(n^n)*n^17*(n-4)^n /(n-4)^13-83/432/(n^n)*n^16*(n-4)^n/(n-4)^13+3113/432/(n^n)*n^15*(n-4)^n/(n-4)^ 13-69823/432/(n^n)*n^14*(n-4)^n/(n-4)^13+348205/144/(n^n)*n^13*(n-4)^n/(n-4)^13 -3669523/144/(n^n)*n^12*(n-4)^n/(n-4)^13+84120179/432/(n^n)*n^11*(n-4)^n/(n-4)^ 13-472581109/432/(n^n)*n^10*(n-4)^n/(n-4)^13-45435949/(n^n)*n^6*(n-4)^n/(n-4)^ 13+45140216/(n^n)*n^5*(n-4)^n/(n-4)^13-371029373/27/(n^n)*n^8*(n-4)^n/(n-4)^13+ 489374743/108/(n^n)*n^9*(n-4)^n/(n-4)^13-26189040/(n^n)*n^4*(n-4)^n/(n-4)^13+ 269684896/9/(n^n)*n^7*(n-4)^n/(n-4)^13+6652800/(n^n)*n^3*(n-4)^n/(n-4)^13+1/24* n^17*((n-1)^n)^3/(n-1)^14/(n^n)^3-23/24*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^3+229/ 24*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^3-1289/24*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^3+ 2243/12*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^3-2471/6*n^12*((n-1)^n)^3/(n-1)^14/(n^n )^3+561*n^11*((n-1)^n)^3/(n-1)^14/(n^n)^3-432*n^10*((n-1)^n)^3/(n-1)^14/(n^n)^3 +1/24/(n^n)*n^13*(n-3)^n/(n-3)^10-47/24/(n^n)*n^12*(n-3)^n/(n-3)^10+40/(n^n)*n^ 11*(n-3)^n/(n-3)^10-1865/4/(n^n)*n^10*(n-3)^n/(n-3)^10+27391/8/(n^n)*n^9*(n-3)^ n/(n-3)^10-131957/8/(n^n)*n^8*(n-3)^n/(n-3)^10+631165/12/(n^n)*n^7*(n-3)^n/(n-3 )^10-655015/6/(n^n)*n^6*(n-3)^n/(n-3)^10+140499/(n^n)*n^5*(n-3)^n/(n-3)^10-\ 100668/(n^n)*n^4*(n-3)^n/(n-3)^10+30240/(n^n)*n^3*(n-3)^n/(n-3)^10-1/12*n^11*(( n-1)^n)^2/(n-1)^9/(n^n)^2+7/6*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^2-77/12*n^9*((n-1) ^n)^2/(n-1)^9/(n^n)^2+52/3*n^8*((n-1)^n)^2/(n-1)^9/(n^n)^2-23*n^7*((n-1)^n)^2/( n-1)^9/(n^n)^2+1/12*(n-2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175 /12*(n-2)^n/(n-2)^7/(n^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-\ 2)^7/(n^n)*n^5-147*(n-2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3+12*n^ 6*((n-1)^n)^2/(n-1)^9/(n^n)^2+576*n^12*((n-1)^n)^4/(n-1)^19/(n^n)^4+100800*n^6* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11-1/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-2 )^n/(n-2)^7+5/4*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/4*n^13*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+120*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^ 7-4431/8*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+6615/4*n^10*(n-1)^n/(n-1) ^5/(n^n)^2*(n-2)^n/(n-2)^7-19115/6*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+ 3805*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-2544*n^7*(n-1)^n/(n-1)^5/(n^n) ^2*(n-2)^n/(n-2)^7+720*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-39/2*n^13*(n -1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+623/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^ n/(n-2)^8-6167/8*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+19579/8*n^10*(n-1 )^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8-59671/12*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^ n/(n-2)^8+12431/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8-4317*n^7*(n-1)^n/ (n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+1260*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^ 8-1/24*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+11/8*n^14*(n-1)^n/(n-1)^4/( n^n)^2*(n-2)^n/(n-2)^8 The, 1, 4, mixed moment of, X[3], and , X[4], is 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 1063 n ((n - 1) ) (n - 2) 2401 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 133591 n ((n - 1) ) (n - 2) 24937 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 4515065 n ((n - 1) ) (n - 2) 2883433 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 6362695 n ((n - 1) ) (n - 2) 3257984 n ((n - 1) ) (n - 2) - -------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 684928 n ((n - 1) ) (n - 2) 24682522 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 4789178 n ((n - 1) ) (n - 2) 87552 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------ 15 n 4 7 15 n 4 7 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 3517628 n ((n - 1) ) (n - 2) 15360 n ((n - 1) ) (n - 2) + -------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 37201591 n ((n - 1) ) (n - 2) 3617468 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 14 n 4 8 14 n 4 8 216 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 19218014 n ((n - 1) ) (n - 2) 2816233 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 14 n 4 8 14 n 4 8 27 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 2675758 n ((n - 1) ) (n - 2) 575768 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 14 n 4 8 14 n 4 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 225504 n ((n - 1) ) (n - 2) 40320 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 14 n 4 8 14 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 2) 17 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 14 n 4 8 14 n 4 8 432 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 1195 n ((n - 1) ) (n - 2) 5689 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 14 n 4 8 14 n 4 8 432 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 166165 n ((n - 1) ) (n - 2) 43267 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 14 n 4 8 14 n 4 8 432 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 6126353 n ((n - 1) ) (n - 2) 8133547 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 14 n 4 8 14 n 4 8 432 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 35237 n ((n - 1) ) (n - 3) 436633 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 20 n 2 n 15 n 5 3911939 n ((n - 1) ) (n - 3) 3072 n ((n - 1) ) - -------------------------------- + -------------------- 10 n 3 10 24 n 5 432 (n - 1) (n ) (n - 3) (n - 1) (n ) 22 n n 18 n n 101 n (n - 1) (n - 4) 14 n (n - 1) (n - 3) + ----------------------------- + -------------------------- 4 n 2 14 5 n 2 10 2592 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 3) 17 n n 16 n n 1409 n (n - 1) (n - 3) 5269 n (n - 1) (n - 3) - --------------------------- + -------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 23219 n (n - 1) (n - 3) 120784 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 4 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n n 12 n n 7230227 n (n - 1) (n - 3) 6561457 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n n 10 n n 17318500 n (n - 1) (n - 3) 32795324 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 14418572 n (n - 1) (n - 3) 4174336 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2134848 n (n - 1) (n - 3) 483840 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n n 18 n n n (n - 1) (n - 3) 31 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 11 4 n 2 11 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 17 n n 16 n n 1721 n (n - 1) (n - 3) 14141 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 11 4 n 2 11 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n 34067 n (n - 1) (n - 3) 385451 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 4 n 2 11 4 n 2 11 8 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 13 n n 12 n n 12473483 n (n - 1) (n - 3) 24327083 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 4 n 2 11 4 n 2 11 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 11 n n 10 n n 17139452 n (n - 1) (n - 3) 34432354 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 4 n 2 11 4 n 2 11 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 15958354 n (n - 1) (n - 3) 4840316 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 4 n 2 11 4 n 2 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 29 n 5 28 n 5 2577840 n (n - 1) (n - 3) n ((n - 1) ) 41 n ((n - 1) ) - ---------------------------- + ------------------- - ------------------- 4 n 2 11 24 n 5 24 n 5 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) 648 (n - 1) (n ) 27 n 5 26 n 5 25 n 5 97 n ((n - 1) ) 4493 n ((n - 1) ) 23707 n ((n - 1) ) + ------------------ - -------------------- + --------------------- 24 n 5 24 n 5 24 n 5 81 (n - 1) (n ) 324 (n - 1) (n ) 216 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 135655 n ((n - 1) ) 868075 n ((n - 1) ) 701165 n ((n - 1) ) - ---------------------- + ---------------------- - ---------------------- 24 n 5 24 n 5 24 n 5 216 (n - 1) (n ) 324 (n - 1) (n ) 81 (n - 1) (n ) 21 n 5 20 n 5 1724000 n ((n - 1) ) 3210130 n ((n - 1) ) + ----------------------- - ----------------------- 24 n 5 24 n 5 81 (n - 1) (n ) 81 (n - 1) (n ) 19 n 5 18 n 5 1485284 n ((n - 1) ) 496768 n ((n - 1) ) + ----------------------- - ---------------------- 24 n 5 24 n 5 27 (n - 1) (n ) 9 (n - 1) (n ) 17 n 5 16 n 5 21 n 113536 n ((n - 1) ) 15872 n ((n - 1) ) n (n - 5) + ---------------------- - --------------------- + ----------------- 24 n 5 24 n 5 n 16 3 (n - 1) (n ) (n - 1) (n ) 2592 n (n - 5) 19 n 20 n 18 n 427 n (n - 5) 43 n (n - 5) 7799 n (n - 5) + ---------------- - ---------------- - ----------------- n 16 n 16 n 16 144 n (n - 5) 864 n (n - 5) 72 n (n - 5) 17 n 16 n 15 n 1173197 n (n - 5) 7138411 n (n - 5) 220969229 n (n - 5) + -------------------- - -------------------- + ---------------------- n 16 n 16 n 16 432 n (n - 5) 144 n (n - 5) 324 n (n - 5) 14 n 13 n 1560050089 n (n - 5) 17168408257 n (n - 5) - ----------------------- + ------------------------ n 16 n 16 216 n (n - 5) 288 n (n - 5) 12 n 11 n 111128444713 n (n - 5) 847048907263 n (n - 5) - ------------------------- + ------------------------- n 16 n 16 288 n (n - 5) 432 n (n - 5) 10 n 6 n 140263145113 n (n - 5) 372730666964 n (n - 5) - ------------------------- - ------------------------ n 16 n 16 18 n (n - 5) 3 n (n - 5) 5 n 8 n 105156994640 n (n - 5) 3047667843847 n (n - 5) + ------------------------ - ------------------------- n 16 n 16 n (n - 5) 54 n (n - 5) 9 n 4 n 1944283364207 n (n - 5) 53294539200 n (n - 5) + ------------------------- - ----------------------- n 16 n 16 81 n (n - 5) n (n - 5) 7 n 3 n 889850451833 n (n - 5) 12108096000 n (n - 5) + ------------------------ + ----------------------- n 16 n 16 9 n (n - 5) n (n - 5) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 10 n 3 7 10 n 3 7 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 343 n ((n - 1) ) (n - 2) 1199 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 36 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 16691 n ((n - 1) ) (n - 2) 27063 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 106051 n ((n - 1) ) (n - 2) 88768 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 477932 n ((n - 1) ) (n - 2) 199006 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 54648 n ((n - 1) ) (n - 2) 26592 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 16 n 2 n 5760 n ((n - 1) ) (n - 2) 18537 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 10 n 3 7 9 n 3 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 1218713 n ((n - 1) ) (n - 2) 266203 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 9 n 3 8 9 n 3 8 36 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 1489684 n ((n - 1) ) (n - 2) 642116 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 9 n 3 8 9 n 3 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 181836 n ((n - 1) ) (n - 2) 90912 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 9 n 3 8 9 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 21 n 2 n 20160 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ----------------------------- + -------------------------- 9 n 3 8 9 n 3 8 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n 7 n ((n - 1) ) (n - 2) 791 n ((n - 1) ) (n - 2) - -------------------------- + ---------------------------- 9 n 3 8 9 n 3 8 6 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 736 n ((n - 1) ) (n - 2) 21701 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 9 n 3 8 9 n 3 8 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 19 n n 9 n 3 23 n 4 n (n - 1) (n - 3) 192 n ((n - 1) ) n ((n - 1) ) - --------------------------- + ------------------ - ------------------ 5 n 2 10 14 n 3 19 n 4 36 (n - 1) (n ) (n - 3) (n - 1) (n ) 72 (n - 1) (n ) 22 n 4 21 n 4 20 n 4 4 n ((n - 1) ) 77 n ((n - 1) ) 331 n ((n - 1) ) + ----------------- - ------------------ + ------------------- 19 n 4 19 n 4 19 n 4 9 (n - 1) (n ) 12 (n - 1) (n ) 6 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 7531 n ((n - 1) ) 7439 n ((n - 1) ) 31249 n ((n - 1) ) - -------------------- + -------------------- - --------------------- 19 n 4 19 n 4 19 n 4 24 (n - 1) (n ) 6 (n - 1) (n ) 9 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 62024 n ((n - 1) ) 28502 n ((n - 1) ) 8664 n ((n - 1) ) + --------------------- - --------------------- + -------------------- 19 n 4 19 n 4 19 n 4 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 13 n 4 17 n 16 n 4704 n ((n - 1) ) n (n - 4) 83 n (n - 4) - -------------------- + --------------- - --------------- 19 n 4 n 13 n 13 (n - 1) (n ) 72 n (n - 4) 72 n (n - 4) 15 n 14 n 13 n 3113 n (n - 4) 69823 n (n - 4) 348205 n (n - 4) + ----------------- - ------------------ + ------------------- n 13 n 13 n 13 72 n (n - 4) 72 n (n - 4) 24 n (n - 4) 12 n 11 n 10 n 3669523 n (n - 4) 84120179 n (n - 4) 472581109 n (n - 4) - -------------------- + --------------------- - ---------------------- n 13 n 13 n 13 24 n (n - 4) 72 n (n - 4) 72 n (n - 4) 6 n 5 n 8 n 272615694 n (n - 4) 270841296 n (n - 4) 742058746 n (n - 4) - --------------------- + --------------------- - --------------------- n 13 n 13 n 13 n (n - 4) n (n - 4) 9 n (n - 4) 9 n 4 n 7 n 489374743 n (n - 4) 157134240 n (n - 4) 539369792 n (n - 4) + --------------------- - --------------------- + --------------------- n 13 n 13 n 13 18 n (n - 4) n (n - 4) 3 n (n - 4) 3 n 17 n 3 16 n 3 39916800 n (n - 4) n ((n - 1) ) 23 n ((n - 1) ) + -------------------- + ------------------ - ------------------ n 13 14 n 3 14 n 3 n (n - 4) 18 (n - 1) (n ) 18 (n - 1) (n ) 15 n 3 14 n 3 13 n 3 229 n ((n - 1) ) 1289 n ((n - 1) ) 2243 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 14 n 3 14 n 3 14 n 3 18 (n - 1) (n ) 18 (n - 1) (n ) 9 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 4942 n ((n - 1) ) 748 n ((n - 1) ) 576 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 14 n 3 14 n 3 14 n 3 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 12 n 11 n 7 n (n - 3) 329 n (n - 3) 280 n (n - 3) + --------------- - ---------------- + ---------------- n 10 n 10 n 10 72 n (n - 3) 72 n (n - 3) 3 n (n - 3) 10 n 9 n 8 n 13055 n (n - 3) 191737 n (n - 3) 923699 n (n - 3) - ------------------ + ------------------ - ------------------ n 10 n 10 n 10 12 n (n - 3) 24 n (n - 3) 24 n (n - 3) 7 n 6 n 5 n 4418155 n (n - 3) 4585105 n (n - 3) 327831 n (n - 3) + ------------------- - ------------------- + ------------------ n 10 n 10 n 10 36 n (n - 3) 18 n (n - 3) n (n - 3) 4 n 3 n 11 n 2 234892 n (n - 3) 70560 n (n - 3) n ((n - 1) ) - ------------------ + ----------------- - ----------------- n 10 n 10 9 n 2 n (n - 3) n (n - 3) 12 (n - 1) (n ) 10 n 2 9 n 2 8 n 2 7 n ((n - 1) ) 77 n ((n - 1) ) 52 n ((n - 1) ) + ----------------- - ----------------- + ----------------- 9 n 2 9 n 2 9 n 2 6 (n - 1) (n ) 12 (n - 1) (n ) 3 (n - 1) (n ) 7 n 2 n 9 n 8 n 7 23 n ((n - 1) ) (n - 2) n 7 (n - 2) n 175 (n - 2) n - ----------------- + -------------- - ------------- + --------------- 9 n 2 7 n 7 n 7 n (n - 1) (n ) 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n n 6 n 5 n 4 n 3 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n - --------------- + --------------- - --------------- + -------------- 7 n 7 n 7 n 7 n 4 (n - 2) n 3 (n - 2) n (n - 2) n (n - 2) n 6 n 2 25 n 2 n 12 n ((n - 1) ) n ((n - 1) ) (n - 3) + ----------------- + ----------------------------- 9 n 2 10 n 3 10 (n - 1) (n ) 432 (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n 65 n ((n - 1) ) (n - 3) 1939 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 26213969 n ((n - 1) ) (n - 3) 134017783 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 264129073 n ((n - 1) ) (n - 3) 100660267 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 10 n 3 10 10 n 3 10 216 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 236542400 n ((n - 1) ) (n - 3) 423798223 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 189089270 n ((n - 1) ) (n - 3) 20298232 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 10 n 3 10 10 n 3 10 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 13337056 n ((n - 1) ) (n - 3) 5318016 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 25 n 2 n 967680 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ + ---------------------------- 10 n 3 10 9 n 3 11 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n 71 n ((n - 1) ) (n - 3) 2305 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 9 n 3 11 9 n 3 11 648 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 45407 n ((n - 1) ) (n - 3) 607375 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 9 n 3 11 9 n 3 11 648 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 5848769 n ((n - 1) ) (n - 3) 41938283 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 9 n 3 11 9 n 3 11 648 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 228404341 n ((n - 1) ) (n - 3) 238704653 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 9 n 3 11 9 n 3 11 648 (n - 1) (n ) (n - 3) 162 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 768467821 n ((n - 1) ) (n - 3) 949354498 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 9 n 3 11 9 n 3 11 162 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1781026454 n ((n - 1) ) (n - 3) 828798088 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 9 n 3 11 9 n 3 11 81 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 92440136 n ((n - 1) ) (n - 3) 62878208 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 11 9 n 3 11 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 8621440 n ((n - 1) ) (n - 3) 1612800 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 9 n 3 11 9 n 3 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n n 20 n n 2339 n (n - 1) (n - 4) 32957 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 4 n 2 14 4 n 2 14 1296 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 19 n n 18 n n 1264463 n (n - 1) (n - 4) 17505943 n (n - 1) (n - 4) - ----------------------------- + ------------------------------ 4 n 2 14 4 n 2 14 1296 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 17 n n 16 n n 45236035 n (n - 1) (n - 4) 712458175 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 14 4 n 2 14 324 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 15 n n 14 n n 17295160025 n (n - 1) (n - 4) 81286084165 n (n - 1) (n - 4) - --------------------------------- + --------------------------------- 4 n 2 14 4 n 2 14 2592 (n - 1) (n ) (n - 4) 2592 (n - 1) (n ) (n - 4) 13 n n 9 n n 147822543973 n (n - 1) (n - 4) 3613507439 n (n - 1) (n - 4) - ---------------------------------- - ------------------------------- 4 n 2 14 4 n 2 14 1296 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 916684848 n (n - 1) (n - 4) 6093546166 n (n - 1) (n - 4) + ------------------------------ - -------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n n 7 n n 103351295957 n (n - 1) (n - 4) 419182320 n (n - 1) (n - 4) + ---------------------------------- - ------------------------------ 4 n 2 14 4 n 2 14 324 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 6 n n 19205803217 n (n - 1) (n - 4) 86486400 n (n - 1) (n - 4) + --------------------------------- + ----------------------------- 4 n 2 14 4 n 2 14 18 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n n 12 n 4 n (n - 1) (n - 4) 1152 n ((n - 1) ) - ----------------------------- + -------------------- 4 n 2 14 19 n 4 2592 (n - 1) (n ) (n - 4) (n - 1) (n ) 6 n n 15 n n 604800 n (n - 1) (n - 3) n (n - 1) (n - 2) + --------------------------- - -------------------------- 4 n 2 11 5 n 2 7 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n n 11 n n 160 n (n - 1) (n - 2) 1477 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 2205 n (n - 1) (n - 2) 38230 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 15220 n (n - 1) (n - 2) 3392 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 13 n n 960 n (n - 1) (n - 2) 91 n (n - 1) (n - 2) + ------------------------ - ------------------------- 5 n 2 7 4 n 2 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n n 11 n n 4361 n (n - 1) (n - 2) 43169 n (n - 1) (n - 2) + -------------------------- - --------------------------- 4 n 2 8 4 n 2 8 12 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 10 n n 9 n n 137053 n (n - 1) (n - 2) 417697 n (n - 1) (n - 2) + ---------------------------- - --------------------------- 4 n 2 8 4 n 2 8 24 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 8 n n 7 n n 87017 n (n - 1) (n - 2) 10073 n (n - 1) (n - 2) + -------------------------- - -------------------------- 4 n 2 8 4 n 2 8 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 15 n n 2940 n (n - 1) (n - 2) 7 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 8 4 n 2 8 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 14 n n 20 n n 77 n (n - 1) (n - 2) 50011 n (n - 1) (n - 4) + -------------------------- + ---------------------------- 4 n 2 8 5 n 2 13 24 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 4) 19 n n 18 n n 219494 n (n - 1) (n - 4) 11150107 n (n - 1) (n - 4) - ---------------------------- + ------------------------------ 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 17 n n 16 n n 106016521 n (n - 1) (n - 4) 770478137 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 15 n n 14 n n 8662059263 n (n - 1) (n - 4) 18929976923 n (n - 1) (n - 4) - -------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 648 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 13 n n 9 n n 16076253076 n (n - 1) (n - 4) 5012925104 n (n - 1) (n - 4) - --------------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 1216103616 n (n - 1) (n - 4) 9377744062 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n n 7 n n 42182549942 n (n - 1) (n - 4) 534339840 n (n - 1) (n - 4) + --------------------------------- - ------------------------------ 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 6 n n 13997672284 n (n - 1) (n - 4) 106444800 n (n - 1) (n - 4) + --------------------------------- + ------------------------------ 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n n 22 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 13 5 n 2 13 648 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 21 n n 1943 n (n - 1) (n - 4) - ---------------------------- 5 n 2 13 324 (n - 1) (n ) (n - 4) and in Maple notation -1/648*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+2/27*n^26*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-1063/648*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-\ 2)^n/(n-2)^7+2401/108*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-133591/ 648*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+24937/18*n^22*((n-1)^n)^3 /(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-4515065/648*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-2)^n/(n-2)^7+2883433/108*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-\ 6362695/81*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-3257984/9*n^15*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+684928/3*n^14*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-2)^n/(n-2)^7-24682522/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-\ 2)^7+4789178/27*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-87552*n^13*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+3517628/9*n^16*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-2)^n/(n-2)^7+15360*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7 -37201591/216*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8+3617468/9*n^18* ((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8-19218014/27*n^17*((n-1)^n)^3/(n-1) ^14/(n^n)^4*(n-2)^n/(n-2)^8+2816233/3*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n /(n-2)^8-2675758/3*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8+575768*n^ 14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8-225504*n^13*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-2)^n/(n-2)^8+40320*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2 )^8-1/432*n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8+17/144*n^26*((n-1)^ n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8-1195/432*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^ 4*(n-2)^n/(n-2)^8+5689/144*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8-\ 166165/432*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8+43267/16*n^22*((n-\ 1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^8-6126353/432*n^21*((n-1)^n)^3/(n-1)^14/ (n^n)^4*(n-2)^n/(n-2)^8+8133547/144*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/( n-2)^8-35237/432*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+436633/432* n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-3911939/432*n^20*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+3072*n^15*((n-1)^n)^5/(n-1)^24/(n^n)^5+101/ 2592*n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14+14/9*n^18*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^10-1409/36*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+ 5269/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-23219/4*n^15*(n-1)^n/(n-1) ^5/(n^n)^2*(n-3)^n/(n-3)^10+120784/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) 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34432354/9*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11-15958354/3*n^9*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11+4840316*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^11-2577840*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11+1/648*n^29*((n-1)^ n)^5/(n-1)^24/(n^n)^5-41/648*n^28*((n-1)^n)^5/(n-1)^24/(n^n)^5+97/81*n^27*((n-1 )^n)^5/(n-1)^24/(n^n)^5-4493/324*n^26*((n-1)^n)^5/(n-1)^24/(n^n)^5+23707/216*n^ 25*((n-1)^n)^5/(n-1)^24/(n^n)^5-135655/216*n^24*((n-1)^n)^5/(n-1)^24/(n^n)^5+ 868075/324*n^23*((n-1)^n)^5/(n-1)^24/(n^n)^5-701165/81*n^22*((n-1)^n)^5/(n-1)^ 24/(n^n)^5+1724000/81*n^21*((n-1)^n)^5/(n-1)^24/(n^n)^5-3210130/81*n^20*((n-1)^ n)^5/(n-1)^24/(n^n)^5+1485284/27*n^19*((n-1)^n)^5/(n-1)^24/(n^n)^5-496768/9*n^ 18*((n-1)^n)^5/(n-1)^24/(n^n)^5+113536/3*n^17*((n-1)^n)^5/(n-1)^24/(n^n)^5-\ 15872*n^16*((n-1)^n)^5/(n-1)^24/(n^n)^5+1/2592/(n^n)*n^21*(n-5)^n/(n-5)^16+427/ 144/(n^n)*n^19*(n-5)^n/(n-5)^16-43/864/(n^n)*n^20*(n-5)^n/(n-5)^16-7799/72/(n^n )*n^18*(n-5)^n/(n-5)^16+1173197/432/(n^n)*n^17*(n-5)^n/(n-5)^16-7138411/144/(n^ n)*n^16*(n-5)^n/(n-5)^16+220969229/324/(n^n)*n^15*(n-5)^n/(n-5)^16-1560050089/ 216/(n^n)*n^14*(n-5)^n/(n-5)^16+17168408257/288/(n^n)*n^13*(n-5)^n/(n-5)^16-\ 111128444713/288/(n^n)*n^12*(n-5)^n/(n-5)^16+847048907263/432/(n^n)*n^11*(n-5)^ n/(n-5)^16-140263145113/18/(n^n)*n^10*(n-5)^n/(n-5)^16-372730666964/3/(n^n)*n^6 *(n-5)^n/(n-5)^16+105156994640/(n^n)*n^5*(n-5)^n/(n-5)^16-3047667843847/54/(n^n )*n^8*(n-5)^n/(n-5)^16+1944283364207/81/(n^n)*n^9*(n-5)^n/(n-5)^16-53294539200/ (n^n)*n^4*(n-5)^n/(n-5)^16+889850451833/9/(n^n)*n^7*(n-5)^n/(n-5)^16+ 12108096000/(n^n)*n^3*(n-5)^n/(n-5)^16+1/72*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-2)^n/(n-2)^7-13/24*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+343/36*n ^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1199/12*n^18*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-2)^n/(n-2)^7+16691/24*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ 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4)^n/(n-4)^13-3669523/24/(n^n)*n^12*(n-4)^n/(n-4)^13+84120179/72/(n^n)*n^11*(n-\ 4)^n/(n-4)^13-472581109/72/(n^n)*n^10*(n-4)^n/(n-4)^13-272615694/(n^n)*n^6*(n-4 )^n/(n-4)^13+270841296/(n^n)*n^5*(n-4)^n/(n-4)^13-742058746/9/(n^n)*n^8*(n-4)^n /(n-4)^13+489374743/18/(n^n)*n^9*(n-4)^n/(n-4)^13-157134240/(n^n)*n^4*(n-4)^n/( n-4)^13+539369792/3/(n^n)*n^7*(n-4)^n/(n-4)^13+39916800/(n^n)*n^3*(n-4)^n/(n-4) ^13+1/18*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^3-23/18*n^16*((n-1)^n)^3/(n-1)^14/(n^n )^3+229/18*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^3-1289/18*n^14*((n-1)^n)^3/(n-1)^14/ (n^n)^3+2243/9*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^3-4942/9*n^12*((n-1)^n)^3/(n-1)^ 14/(n^n)^3+748*n^11*((n-1)^n)^3/(n-1)^14/(n^n)^3-576*n^10*((n-1)^n)^3/(n-1)^14/ (n^n)^3+7/72/(n^n)*n^13*(n-3)^n/(n-3)^10-329/72/(n^n)*n^12*(n-3)^n/(n-3)^10+280 /3/(n^n)*n^11*(n-3)^n/(n-3)^10-13055/12/(n^n)*n^10*(n-3)^n/(n-3)^10+191737/24/( n^n)*n^9*(n-3)^n/(n-3)^10-923699/24/(n^n)*n^8*(n-3)^n/(n-3)^10+4418155/36/(n^n) 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18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^11+238704653/162*n^17*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-3)^n/(n-3)^11-768467821/162*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3 *(n-3)^n/(n-3)^11+949354498/81*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^ 11-1781026454/81*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^11+828798088/27 *n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^11-92440136/3*n^12*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-3)^n/(n-3)^11+62878208/3*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -3)^n/(n-3)^11-8621440*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^11+ 1612800*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^11-2339/1296*n^21*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14+32957/648*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^14-1264463/1296*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14+17505943/ 1296*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14-45236035/324*n^17*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^14+712458175/648*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^14-17295160025/2592*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14+ 81286084165/2592*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14-147822543973/ 1296*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14-3613507439/3*n^9*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-4)^n/(n-4)^14+916684848*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-\ 4)^14-6093546166/9*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14+103351295957/ 324*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14-419182320*n^7*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^14+19205803217/18*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^14+86486400*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14-1/2592*n^23*(n-1) ^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^14+1152*n^12*((n-1)^n)^4/(n-1)^19/(n^n)^4+ 604800*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^11-1/18*n^15*(n-1)^n/(n-1)^5/( n^n)^2*(n-2)^n/(n-2)^7+5/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/3*n^ 13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+160*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^7-1477/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+2205*n^10*(n-1 )^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-38230/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n /(n-2)^7+15220/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-3392*n^7*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+960*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-\ 91/2*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+4361/12*n^12*(n-1)^n/(n-1)^4/ (n^n)^2*(n-2)^n/(n-2)^8-43169/24*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+ 137053/24*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8-417697/36*n^9*(n-1)^n/(n -1)^4/(n^n)^2*(n-2)^n/(n-2)^8+87017/6*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2) ^8-10073*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+2940*n^6*(n-1)^n/(n-1)^4/( n^n)^2*(n-2)^n/(n-2)^8-7/72*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+77/24* n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^8+50011/324*n^20*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^13-219494/81*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+ 11150107/324*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-106016521/324*n^17*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+770478137/324*n^16*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^13-8662059263/648*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 13+18929976923/324*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-16076253076/81 *n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-5012925104/3*n^9*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^13+1216103616*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 13-9377744062/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+42182549942/81*n^ 12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-534339840*n^7*(n-1)^n/(n-1)^5/(n^n) ^2*(n-4)^n/(n-4)^13+13997672284/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13 +106444800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-1/648*n^23*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^13+23/162*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 13-1943/324*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13 The, 2, 1, mixed moment of, X[3], and , X[4], is 9 n 3 14 n n 13 n n 72 n ((n - 1) ) n (n - 1) (n - 2) 13 n (n - 1) (n - 2) - ----------------- - -------------------------- + ------------------------- 13 n 3 4 n 2 7 4 n 2 7 (n - 1) (n ) 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n n 11 n n 143 n (n - 1) (n - 2) 434 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 10 n n 9 n n 6349 n (n - 1) (n - 2) 7147 n (n - 1) (n - 2) - -------------------------- + ------------------------- 4 n 2 7 4 n 2 7 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 8 n n 7 n n 1607 n (n - 1) (n - 2) 1182 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 16 n 3 15 n 3 360 n (n - 1) (n - 2) n ((n - 1) ) 19 n ((n - 1) ) - ------------------------ + ------------------ - ------------------ 4 n 2 7 13 n 3 13 n 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) 12 (n - 1) (n ) 14 n 3 11 n 2 10 n 2 51 n ((n - 1) ) n ((n - 1) ) 7 n ((n - 1) ) + ------------------ - ----------------- + ----------------- 13 n 3 9 n 2 9 n 2 4 (n - 1) (n ) 12 (n - 1) (n ) 6 (n - 1) (n ) 9 n 2 8 n 2 7 n 2 77 n ((n - 1) ) 52 n ((n - 1) ) 23 n ((n - 1) ) - ----------------- + ----------------- - ----------------- 9 n 2 9 n 2 9 n 2 12 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 6 n 2 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n 12 n ((n - 1) ) + --------------- - --------------- + -------------- + ----------------- 7 n 7 n 7 n 9 n 2 3 (n - 2) n (n - 2) n (n - 2) n (n - 1) (n ) 14 n n 13 n n n (n - 1) (n - 2) n (n - 1) (n - 2) - -------------------------- + ----------------------- 5 n 2 6 5 n 2 6 24 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n n 11 n n 41 n (n - 1) (n - 2) 117 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 6 5 n 2 6 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 1623 n (n - 1) (n - 2) 873 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 6 5 n 2 6 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 8 n n 7 n n 3401 n (n - 1) (n - 2) 404 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 6 5 n 2 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 13 n 3 12 n 3 120 n (n - 1) (n - 2) 677 n ((n - 1) ) 889 n ((n - 1) ) - ------------------------ - ------------------- + ------------------- 5 n 2 6 13 n 3 13 n 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) 6 (n - 1) (n ) 11 n 3 10 n 3 12 n 231 n ((n - 1) ) 198 n ((n - 1) ) n (n - 3) - ------------------- + ------------------- + -------------- 13 n 3 13 n 3 n 9 (n - 1) (n ) (n - 1) (n ) 24 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 12 n (n - 3) 4 n (n - 3) 2 n (n - 3) 8 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 43229 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 4 n (n - 3) 6 n (n - 3) 3 n (n - 3) 4 n 3 n 10812 n (n - 3) 3360 n (n - 3) + ----------------- - ---------------- n 9 n 9 n (n - 3) n (n - 3) and in Maple notation -72*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-1/12*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/ (n-2)^7+13/6*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-143/6*n^12*(n-1)^n/(n -1)^4/(n^n)^2*(n-2)^n/(n-2)^7+434/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^ 7-6349/12*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+7147/6*n^9*(n-1)^n/(n-1) ^4/(n^n)^2*(n-2)^n/(n-2)^7-1607*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+ 1182*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-360*n^6*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-2)^n/(n-2)^7+1/12*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-19/12*n^15*((n-1)^n)^3 /(n-1)^13/(n^n)^3+51/4*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3-1/12*n^11*((n-1)^n)^2/ (n-1)^9/(n^n)^2+7/6*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^2-77/12*n^9*((n-1)^n)^2/(n-1 )^9/(n^n)^2+52/3*n^8*((n-1)^n)^2/(n-1)^9/(n^n)^2-23*n^7*((n-1)^n)^2/(n-1)^9/(n^ n)^2+1/12*(n-2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^ n/(n-2)^7/(n^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n) *n^5-147*(n-2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3+12*n^6*((n-1)^n )^2/(n-1)^9/(n^n)^2-1/24*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+n^13*(n-1 )^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-41/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^6+117/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-1623/8*n^10*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+873/2*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^ 6-3401/6*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+404*n^7*(n-1)^n/(n-1)^5/(n ^n)^2*(n-2)^n/(n-2)^6-120*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-677/12*n^ 13*((n-1)^n)^3/(n-1)^13/(n^n)^3+889/6*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^3-231*n^ 11*((n-1)^n)^3/(n-1)^13/(n^n)^3+198*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/24/(n^n )*n^12*(n-3)^n/(n-3)^9-19/12/(n^n)*n^11*(n-3)^n/(n-3)^9+103/4/(n^n)*n^10*(n-3)^ n/(n-3)^9-469/2/(n^n)*n^9*(n-3)^n/(n-3)^9+10507/8/(n^n)*n^8*(n-3)^n/(n-3)^9-\ 18697/4/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/6/(n^n)*n^6*(n-3)^n/(n-3)^9-43229/3/(n^ n)*n^5*(n-3)^n/(n-3)^9+10812/(n^n)*n^4*(n-3)^n/(n-3)^9-3360/(n^n)*n^3*(n-3)^n/( n-3)^9 The, 2, 2, mixed moment of, X[3], and , X[4], is 9 n 3 12 n 4 14 n n 36 n ((n - 1) ) 432 n ((n - 1) ) n (n - 1) (n - 2) - ----------------- - ------------------- - -------------------------- 13 n 3 18 n 4 4 n 2 7 (n - 1) (n ) (n - 1) (n ) 12 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 11 n n 10 n n 434 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 1607 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 1182 n (n - 1) (n - 2) 360 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 15 n 3 14 n 3 n ((n - 1) ) 19 n ((n - 1) ) 51 n ((n - 1) ) + ------------------ - ------------------ + ------------------ 13 n 3 13 n 3 13 n 3 24 (n - 1) (n ) 24 (n - 1) (n ) 8 (n - 1) (n ) 9 n 3 17 n 3 16 n 3 48 n ((n - 1) ) n ((n - 1) ) 23 n ((n - 1) ) + ----------------- + ------------------ - ------------------ 14 n 3 14 n 3 14 n 3 (n - 1) (n ) 72 (n - 1) (n ) 72 (n - 1) (n ) 15 n 3 14 n 3 13 n 3 229 n ((n - 1) ) 1289 n ((n - 1) ) 2243 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 14 n 3 14 n 3 14 n 3 72 (n - 1) (n ) 72 (n - 1) (n ) 36 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 2471 n ((n - 1) ) 187 n ((n - 1) ) 144 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 14 n 3 14 n 3 14 n 3 18 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 12 n 11 n 10 n n (n - 3) 47 n (n - 3) 40 n (n - 3) 1865 n (n - 3) + --------------- - --------------- + --------------- - ----------------- n 10 n 10 n 10 n 10 72 n (n - 3) 72 n (n - 3) 3 n (n - 3) 12 n (n - 3) 9 n 8 n 7 n 27391 n (n - 3) 131957 n (n - 3) 631165 n (n - 3) + ----------------- - ------------------ + ------------------ n 10 n 10 n 10 24 n (n - 3) 24 n (n - 3) 36 n (n - 3) 6 n 5 n 4 n 655015 n (n - 3) 46833 n (n - 3) 33556 n (n - 3) - ------------------ + ----------------- - ----------------- n 10 n 10 n 10 18 n (n - 3) n (n - 3) n (n - 3) 3 n n 9 n 8 n 7 10080 n (n - 3) (n - 2) n 7 (n - 2) n 175 (n - 2) n + ----------------- + -------------- - ------------- + --------------- n 10 7 n 7 n 7 n n (n - 3) 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n n 6 n 5 n 4 n 3 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n - --------------- + --------------- - --------------- + -------------- 7 n 7 n 7 n 7 n 4 (n - 2) n 3 (n - 2) n (n - 2) n (n - 2) n 10 n 6 n 5 n 28671863 n (n - 4) 31389212 n (n - 4) 10750999 n (n - 4) + --------------------- + -------------------- - -------------------- n 12 n 12 n 12 144 n (n - 4) 3 n (n - 4) n (n - 4) 8 n 9 n 4 n 25954621 n (n - 4) 128518753 n (n - 4) 6408660 n (n - 4) + -------------------- - --------------------- + ------------------- n 12 n 12 n 12 9 n (n - 4) 144 n (n - 4) n (n - 4) 15 n 16 n 14 n 71 n (n - 4) n (n - 4) 2261 n (n - 4) - ---------------- + ---------------- + ----------------- n 12 n 12 n 12 144 n (n - 4) 144 n (n - 4) 144 n (n - 4) 12 n 11 n 13 n 59147 n (n - 4) 1540231 n (n - 4) 42691 n (n - 4) + ------------------ - -------------------- - ------------------ n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 144 n (n - 4) 7 n 3 n 20 n 2 n 59573921 n (n - 4) 1663200 n (n - 4) n ((n - 1) ) (n - 2) - -------------------- - ------------------- + -------------------------- n 12 n 12 9 n 3 7 9 n (n - 4) n (n - 4) 36 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 35 n ((n - 1) ) (n - 2) 91 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 3 7 9 n 3 7 36 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 835 n ((n - 1) ) (n - 2) 3337 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 3 7 9 n 3 7 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 13715 n ((n - 1) ) (n - 2) 88667 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 4 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 177940 n ((n - 1) ) (n - 2) 81368 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 9 n 3 7 9 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 24180 n ((n - 1) ) (n - 2) 12576 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 13 n 3 12 n 3 2880 n ((n - 1) ) (n - 2) 677 n ((n - 1) ) 889 n ((n - 1) ) - ---------------------------- - ------------------- + ------------------- 9 n 3 7 13 n 3 13 n 3 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) 12 (n - 1) (n ) 11 n 3 10 n 3 12 n 231 n ((n - 1) ) 99 n ((n - 1) ) n (n - 3) - ------------------- + ------------------ + -------------- 13 n 3 13 n 3 n 9 2 (n - 1) (n ) (n - 1) (n ) 24 n (n - 3) 11 n 10 n 9 n 8 n 19 n (n - 3) 103 n (n - 3) 469 n (n - 3) 10507 n (n - 3) - --------------- + ---------------- - --------------- + ----------------- n 9 n 9 n 9 n 9 12 n (n - 3) 4 n (n - 3) 2 n (n - 3) 8 n (n - 3) 7 n 6 n 5 n 18697 n (n - 3) 63173 n (n - 3) 43229 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 4 n (n - 3) 6 n (n - 3) 3 n (n - 3) 4 n 3 n 16 n n 10812 n (n - 3) 3360 n (n - 3) 1201 n (n - 1) (n - 3) + ----------------- - ---------------- - --------------------------- n 9 n 9 4 n 2 10 n (n - 3) n (n - 3) 72 (n - 1) (n ) (n - 3) 15 n n 14 n n 226 n (n - 1) (n - 3) 15987 n (n - 1) (n - 3) + ------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n n 72823 n (n - 1) (n - 3) 3734723 n (n - 1) (n - 3) + --------------------------- - ----------------------------- 4 n 2 10 4 n 2 10 6 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 11 n n 10 n n 1413367 n (n - 1) (n - 3) 3005782 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 4 n 2 10 4 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 1458178 n (n - 1) (n - 3) 458858 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 10 4 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 251736 n (n - 1) (n - 3) 60480 n (n - 1) (n - 3) + --------------------------- - -------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 13333 n ((n - 1) ) (n - 2) 28945 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 8 8 n 3 8 48 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 524033 n ((n - 1) ) (n - 2) 68644 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 8 n 3 8 8 n 3 8 144 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 32615 n ((n - 1) ) (n - 2) 10023 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 5367 n ((n - 1) ) (n - 2) 1260 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 2) 19 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 8 n 3 8 8 n 3 8 144 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 71 n ((n - 1) ) (n - 2) 523 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 8 n 3 8 8 n 3 8 16 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 18 n n 17 n n n (n - 1) (n - 3) 13 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 10 4 n 2 10 72 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 20 n 2 n 15 n n n ((n - 1) ) (n - 2) n (n - 1) (n - 2) + ---------------------------- - -------------------------- 10 n 3 6 5 n 2 7 144 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n n 11 n n 80 n (n - 1) (n - 2) 1477 n (n - 1) (n - 2) + ------------------------ - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n n 9 n n 2205 n (n - 1) (n - 2) 19115 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 7610 n (n - 1) (n - 2) 1696 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 22 n 4 21 n 4 480 n (n - 1) (n - 2) n ((n - 1) ) 7 n ((n - 1) ) + ------------------------ - ------------------ + ------------------ 5 n 2 7 18 n 4 18 n 4 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) 12 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 175 n ((n - 1) ) 643 n ((n - 1) ) 12305 n ((n - 1) ) - ------------------- + ------------------- - --------------------- 18 n 4 18 n 4 18 n 4 24 (n - 1) (n ) 12 (n - 1) (n ) 48 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 2503 n ((n - 1) ) 11225 n ((n - 1) ) 2854 n ((n - 1) ) + -------------------- - --------------------- + -------------------- 18 n 4 18 n 4 18 n 4 3 (n - 1) (n ) 6 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 2835 n ((n - 1) ) 1656 n ((n - 1) ) - -------------------- + -------------------- 18 n 4 18 n 4 (n - 1) (n ) (n - 1) (n ) 19 n 2 n 18 n 2 n 11 n ((n - 1) ) (n - 2) 61 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 10 n 3 6 10 n 3 6 48 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 237 n ((n - 1) ) (n - 2) 8159 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 8 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 10745 n ((n - 1) ) (n - 2) 134089 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 16 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 43447 n ((n - 1) ) (n - 2) 86909 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 10 n 3 6 10 n 3 6 12 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 4198 n ((n - 1) ) (n - 2) 2136 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 480 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - --------------------------- - -------------------------- 10 n 3 6 5 n 2 9 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 3) 17 n n 16 n n 47 n (n - 1) (n - 3) 493 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 9 5 n 2 9 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n 6101 n (n - 1) (n - 3) 11017 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n n 185677 n (n - 1) (n - 3) 554237 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 24 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 11 n n 10 n n 786662 n (n - 1) (n - 3) 1579292 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 2184034 n (n - 1) (n - 3) 657184 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 115616 n (n - 1) (n - 3) 26880 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) and in Maple notation -36*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-432*n^12*((n-1)^n)^4/(n-1)^18/(n^n)^4-1/12 *n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/6*n^13*(n-1)^n/(n-1)^4/(n^n)^2 *(n-2)^n/(n-2)^7-143/6*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+434/3*n^11* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/12*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n -2)^n/(n-2)^7+7147/6*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-1607*n^8*(n-1) ^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1182*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-\ 2)^7-360*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1/24*n^16*((n-1)^n)^3/(n-1 )^13/(n^n)^3-19/24*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^3+51/8*n^14*((n-1)^n)^3/(n-1 )^13/(n^n)^3+48*n^9*((n-1)^n)^3/(n-1)^14/(n^n)^3+1/72*n^17*((n-1)^n)^3/(n-1)^14 /(n^n)^3-23/72*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^3+229/72*n^15*((n-1)^n)^3/(n-1)^ 14/(n^n)^3-1289/72*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^3+2243/36*n^13*((n-1)^n)^3/( n-1)^14/(n^n)^3-2471/18*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^3+187*n^11*((n-1)^n)^3/ (n-1)^14/(n^n)^3-144*n^10*((n-1)^n)^3/(n-1)^14/(n^n)^3+1/72/(n^n)*n^13*(n-3)^n/ (n-3)^10-47/72/(n^n)*n^12*(n-3)^n/(n-3)^10+40/3/(n^n)*n^11*(n-3)^n/(n-3)^10-\ 1865/12/(n^n)*n^10*(n-3)^n/(n-3)^10+27391/24/(n^n)*n^9*(n-3)^n/(n-3)^10-131957/ 24/(n^n)*n^8*(n-3)^n/(n-3)^10+631165/36/(n^n)*n^7*(n-3)^n/(n-3)^10-655015/18/(n ^n)*n^6*(n-3)^n/(n-3)^10+46833/(n^n)*n^5*(n-3)^n/(n-3)^10-33556/(n^n)*n^4*(n-3) ^n/(n-3)^10+10080/(n^n)*n^3*(n-3)^n/(n-3)^10+1/12*(n-2)^n/(n-2)^7/(n^n)*n^9-7/4 *(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/(n^n)*n^7-245/4*(n-2)^n/(n-2) ^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*(n-2)^n/(n-2)^7/(n^n)*n^4+60*( n-2)^n/(n-2)^7/(n^n)*n^3+28671863/144/(n^n)*n^10*(n-4)^n/(n-4)^12+31389212/3/(n ^n)*n^6*(n-4)^n/(n-4)^12-10750999/(n^n)*n^5*(n-4)^n/(n-4)^12+25954621/9/(n^n)*n ^8*(n-4)^n/(n-4)^12-128518753/144/(n^n)*n^9*(n-4)^n/(n-4)^12+6408660/(n^n)*n^4* (n-4)^n/(n-4)^12-71/144/(n^n)*n^15*(n-4)^n/(n-4)^12+1/144/(n^n)*n^16*(n-4)^n/(n -4)^12+2261/144/(n^n)*n^14*(n-4)^n/(n-4)^12+59147/16/(n^n)*n^12*(n-4)^n/(n-4)^ 12-1540231/48/(n^n)*n^11*(n-4)^n/(n-4)^12-42691/144/(n^n)*n^13*(n-4)^n/(n-4)^12 -59573921/9/(n^n)*n^7*(n-4)^n/(n-4)^12-1663200/(n^n)*n^3*(n-4)^n/(n-4)^12+1/36* n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-35/36*n^19*((n-1)^n)^2/(n-1)^9 /(n^n)^3*(n-2)^n/(n-2)^7+91/6*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-\ 835/6*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+3337/4*n^16*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-13715/4*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^ n/(n-2)^7+88667/9*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-177940/9*n^ 13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+81368/3*n^12*((n-1)^n)^2/(n-1)^9 /(n^n)^3*(n-2)^n/(n-2)^7-24180*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7 +12576*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-2880*n^9*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-2)^n/(n-2)^7-677/24*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+889/12*n ^12*((n-1)^n)^3/(n-1)^13/(n^n)^3-231/2*n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3+99*n^ 10*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/24/(n^n)*n^12*(n-3)^n/(n-3)^9-19/12/(n^n)*n^ 11*(n-3)^n/(n-3)^9+103/4/(n^n)*n^10*(n-3)^n/(n-3)^9-469/2/(n^n)*n^9*(n-3)^n/(n-\ 3)^9+10507/8/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/4/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/ 6/(n^n)*n^6*(n-3)^n/(n-3)^9-43229/3/(n^n)*n^5*(n-3)^n/(n-3)^9+10812/(n^n)*n^4*( n-3)^n/(n-3)^9-3360/(n^n)*n^3*(n-3)^n/(n-3)^9-1201/72*n^16*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^10+226*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-15987/8* n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+72823/6*n^13*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^10-3734723/72*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+ 1413367/9*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-3005782/9*n^10*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1458178/3*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/ (n-3)^10-458858*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+251736*n^7*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-60480*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^10+13333/48*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-28945/24*n^15*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+524033/144*n^14*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-2)^n/(n-2)^8-68644/9*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^ 8+32615/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-10023*n^11*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+5367*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^8-1260*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+1/144*n^20*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-19/72*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^8+71/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-523/12*n^ 17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-1/72*n^18*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^10+13/18*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1/144*n^ 20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/36*n^15*(n-1)^n/(n-1)^5/(n^n) ^2*(n-2)^n/(n-2)^7+5/6*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/6*n^13*( n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+80*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/ (n-2)^7-1477/4*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+2205/2*n^10*(n-1)^n /(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-19115/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n -2)^7+7610/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-1696*n^7*(n-1)^n/(n-1) ^5/(n^n)^2*(n-2)^n/(n-2)^7+480*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-1/48 *n^22*((n-1)^n)^4/(n-1)^18/(n^n)^4+7/12*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-175/ 24*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^4+643/12*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^4-\ 12305/48*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+2503/3*n^17*((n-1)^n)^4/(n-1)^18/(n^ n)^4-11225/6*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+2854*n^15*((n-1)^n)^4/(n-1)^18/( n^n)^4-2835*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+1656*n^13*((n-1)^n)^4/(n-1)^18/(n ^n)^4-11/48*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+61/18*n^18*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-237/8*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^6+8159/48*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-10745 /16*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/72*n^14*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43447/12*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-2)^n/(n-2)^6+86909/18*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-4198* n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+2136*n^10*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-2)^n/(n-2)^6-480*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6 -1/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/72*n^17*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^9-493/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+6101 /36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11017/8*n^14*(n-1)^n/(n-1)^5/( n^n)^2*(n-3)^n/(n-3)^9+185677/24*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 554237/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+786662/9*n^11*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1579292/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^9+2184034/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-657184/3*n^8*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+115616*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^9-26880*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 The, 2, 3, mixed moment of, X[3], and , X[4], is 9 n 3 12 n 4 14 n n 36 n ((n - 1) ) 432 n ((n - 1) ) n (n - 1) (n - 2) - ----------------- - ------------------- - -------------------------- 13 n 3 18 n 4 4 n 2 7 (n - 1) (n ) (n - 1) (n ) 12 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 11 n n 10 n n 434 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 1607 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 1182 n (n - 1) (n - 2) 360 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 11289997 n ((n - 1) ) (n - 2) 14621597 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 13 n 4 8 13 n 4 8 288 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 7083211 n ((n - 1) ) (n - 2) 280644 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 13 n 4 8 13 n 4 8 36 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 571081 n ((n - 1) ) (n - 2) 195717 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 8 13 n 4 8 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 80784 n ((n - 1) ) (n - 2) 15120 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 2) 47 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 13 n 4 8 13 n 4 8 288 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 1007 n ((n - 1) ) (n - 2) 13039 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 13 n 4 8 13 n 4 8 288 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 38003 n ((n - 1) ) (n - 2) 237391 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 13 n 4 8 13 n 4 8 96 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 20 n 3 n 22 n 2 n 3277661 n ((n - 1) ) (n - 2) 565 n ((n - 1) ) (n - 3) - -------------------------------- + ---------------------------- 13 n 4 8 9 n 3 10 288 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 28457 n ((n - 1) ) (n - 3) 322805 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 9 n 3 10 9 n 3 10 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 61 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 9 n 3 10 9 n 3 10 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 291191 n ((n - 1) ) (n - 3) 15731093 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 16 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 71093411 n ((n - 1) ) (n - 3) 13549139 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 144 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 2366681 n ((n - 1) ) (n - 2) 3916937 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 14 n 4 7 14 n 4 7 144 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 348922 n ((n - 1) ) (n - 2) 233304 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 2292251 n ((n - 1) ) (n - 2) 1222879 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 4 7 14 n 4 7 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 94176 n ((n - 1) ) (n - 2) 352473 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 26 n 3 n 17280 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------ - ---------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 11 n ((n - 1) ) (n - 2) 887 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 14 n 4 7 14 n 4 7 36 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 5429 n ((n - 1) ) (n - 2) 30053 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 14 n 4 7 14 n 4 7 72 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 21 n 3 n 24 n 2 n 22379 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ------------------------------ + ---------------------------- 14 n 4 7 10 n 3 9 6 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 3) 23 n 2 n 22 n 2 n 7 n ((n - 1) ) (n - 3) 1435 n ((n - 1) ) (n - 3) - --------------------------- + ----------------------------- 10 n 3 9 10 n 3 9 36 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 11161 n ((n - 1) ) (n - 3) 235735 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 19 n 2 n 16 n 3 447581 n ((n - 1) ) (n - 3) n ((n - 1) ) - ------------------------------- + ------------------ 10 n 3 9 13 n 3 72 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) 15 n 3 14 n 3 18 n n 19 n ((n - 1) ) 51 n ((n - 1) ) 7 n (n - 1) (n - 3) - ------------------ + ------------------ + --------------------------- 13 n 3 13 n 3 5 n 2 10 24 (n - 1) (n ) 8 (n - 1) (n ) 18 (n - 1) (n ) (n - 3) 17 n n 16 n n 1409 n (n - 1) (n - 3) 5269 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 10 5 n 2 10 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n 23219 n (n - 1) (n - 3) 30196 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 16 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n n 12 n n 7230227 n (n - 1) (n - 3) 6561457 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 11 n n 10 n n 4329625 n (n - 1) (n - 3) 8198831 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 3604643 n (n - 1) (n - 3) 1043584 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 533712 n (n - 1) (n - 3) 120960 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1877309 n ((n - 1) ) (n - 2) 251531 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 15 n 4 6 15 n 4 6 864 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 3 n 26 n 3 n 1835137 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - -------------------------------- - ---------------------------- 15 n 4 6 15 n 4 6 108 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 7 n ((n - 1) ) (n - 2) 811 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 15 n 4 6 15 n 4 6 144 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 265 n ((n - 1) ) (n - 2) 76351 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 15 n 4 6 15 n 4 6 24 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 21 n 3 n 14 n 3 n 73271 n ((n - 1) ) (n - 2) 26768 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 4 6 15 n 4 6 144 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 10624 n ((n - 1) ) (n - 2) 2271125 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 15 n 3 n 12 n 3 n 367096 n ((n - 1) ) (n - 2) 1920 n ((n - 1) ) (n - 2) + ------------------------------- - ----------------------------- 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 24 n 2 n 93242 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ------------------------------ + ---------------------------- 15 n 4 6 8 n 3 11 3 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 3) 23 n 2 n 22 n 2 n 67 n ((n - 1) ) (n - 3) 679 n ((n - 1) ) (n - 3) - ---------------------------- + ---------------------------- 8 n 3 11 8 n 3 11 864 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 37259 n ((n - 1) ) (n - 3) 458339 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 8 n 3 11 8 n 3 11 864 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 148719 n ((n - 1) ) (n - 3) 25876631 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 8 n 3 11 8 n 3 11 32 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 124897817 n ((n - 1) ) (n - 3) 1053767 n ((n - 1) ) (n - 3) - ---------------------------------- + -------------------------------- 8 n 3 11 8 n 3 11 864 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 313240477 n ((n - 1) ) (n - 3) 80718386 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 8 n 3 11 8 n 3 11 216 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 10 n 3 7 10 n 3 7 144 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 343 n ((n - 1) ) (n - 2) 1199 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 16691 n ((n - 1) ) (n - 2) 27063 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 106051 n ((n - 1) ) (n - 2) 44384 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 238966 n ((n - 1) ) (n - 2) 99503 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 27324 n ((n - 1) ) (n - 2) 13296 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 19 n n 2880 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 10 n 3 7 5 n 2 10 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 3) 23 n 4 22 n 4 21 n 4 n ((n - 1) ) 2 n ((n - 1) ) 77 n ((n - 1) ) - ------------------- + ------------------ - ------------------ 19 n 4 19 n 4 19 n 4 432 (n - 1) (n ) 27 (n - 1) (n ) 72 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 331 n ((n - 1) ) 7531 n ((n - 1) ) 7439 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 19 n 4 19 n 4 19 n 4 36 (n - 1) (n ) 144 (n - 1) (n ) 36 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 31249 n ((n - 1) ) 31012 n ((n - 1) ) 14251 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 19 n 4 19 n 4 19 n 4 54 (n - 1) (n ) 27 (n - 1) (n ) 9 (n - 1) (n ) 14 n 4 13 n 4 17 n 1444 n ((n - 1) ) 784 n ((n - 1) ) n (n - 4) + -------------------- - ------------------- + ---------------- 19 n 4 19 n 4 n 13 (n - 1) (n ) (n - 1) (n ) 432 n (n - 4) 16 n 15 n 14 n 83 n (n - 4) 3113 n (n - 4) 69823 n (n - 4) - ---------------- + ----------------- - ------------------ n 13 n 13 n 13 432 n (n - 4) 432 n (n - 4) 432 n (n - 4) 13 n 12 n 11 n 348205 n (n - 4) 3669523 n (n - 4) 84120179 n (n - 4) + ------------------- - -------------------- + --------------------- n 13 n 13 n 13 144 n (n - 4) 144 n (n - 4) 432 n (n - 4) 10 n 6 n 5 n 472581109 n (n - 4) 45435949 n (n - 4) 45140216 n (n - 4) - ---------------------- - -------------------- + -------------------- n 13 n 13 n 13 432 n (n - 4) n (n - 4) n (n - 4) 8 n 9 n 4 n 371029373 n (n - 4) 489374743 n (n - 4) 26189040 n (n - 4) - --------------------- + --------------------- - -------------------- n 13 n 13 n 13 27 n (n - 4) 108 n (n - 4) n (n - 4) 7 n 3 n 13 n 269684896 n (n - 4) 6652800 n (n - 4) n (n - 3) + --------------------- + ------------------- + --------------- n 13 n 13 n 10 9 n (n - 4) n (n - 4) 24 n (n - 3) 12 n 11 n 10 n 47 n (n - 3) 40 n (n - 3) 1865 n (n - 3) - --------------- + --------------- - ----------------- n 10 n 10 n 10 24 n (n - 3) n (n - 3) 4 n (n - 3) 9 n 8 n 7 n 27391 n (n - 3) 131957 n (n - 3) 631165 n (n - 3) + ----------------- - ------------------ + ------------------ n 10 n 10 n 10 8 n (n - 3) 8 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 655015 n (n - 3) 140499 n (n - 3) 100668 n (n - 3) - ------------------ + ------------------ - ------------------ n 10 n 10 n 10 6 n (n - 3) n (n - 3) n (n - 3) 3 n n 9 n 8 n 7 30240 n (n - 3) (n - 2) n 7 (n - 2) n 175 (n - 2) n + ----------------- + -------------- - ------------- + --------------- n 10 7 n 7 n 7 n n (n - 3) 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n n 6 n 5 n 4 n 3 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n - --------------- + --------------- - --------------- + -------------- 7 n 7 n 7 n 7 n 4 (n - 2) n 3 (n - 2) n (n - 2) n (n - 2) n 15 n 5 28 n 5 27 n 5 2304 n ((n - 1) ) n ((n - 1) ) 37 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 23 n 5 23 n 5 23 n 5 (n - 1) (n ) 216 (n - 1) (n ) 216 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 157 n ((n - 1) ) 1079 n ((n - 1) ) 1675 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 23 n 5 23 n 5 23 n 5 54 (n - 1) (n ) 36 (n - 1) (n ) 8 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 75355 n ((n - 1) ) 415945 n ((n - 1) ) 285220 n ((n - 1) ) - --------------------- + ---------------------- - ---------------------- 23 n 5 23 n 5 23 n 5 72 (n - 1) (n ) 108 (n - 1) (n ) 27 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 583120 n ((n - 1) ) 292550 n ((n - 1) ) 105028 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 23 n 5 23 n 5 23 n 5 27 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 17 n 5 16 n 5 10 n 25552 n ((n - 1) ) 11328 n ((n - 1) ) 28671863 n (n - 4) - --------------------- + --------------------- + --------------------- 23 n 5 23 n 5 n 12 (n - 1) (n ) (n - 1) (n ) 48 n (n - 4) 6 n 5 n 8 n 31389212 n (n - 4) 32252997 n (n - 4) 25954621 n (n - 4) + -------------------- - -------------------- + -------------------- n 12 n 12 n 12 n (n - 4) n (n - 4) 3 n (n - 4) 9 n 4 n 15 n 128518753 n (n - 4) 19225980 n (n - 4) 71 n (n - 4) - --------------------- + -------------------- - --------------- n 12 n 12 n 12 48 n (n - 4) n (n - 4) 48 n (n - 4) 16 n 14 n 12 n n (n - 4) 2261 n (n - 4) 177441 n (n - 4) + --------------- + ----------------- + ------------------- n 12 n 12 n 12 48 n (n - 4) 48 n (n - 4) 16 n (n - 4) 11 n 13 n 7 n 1540231 n (n - 4) 42691 n (n - 4) 59573921 n (n - 4) - -------------------- - ------------------ - -------------------- n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 3 n (n - 4) 3 n 13 n 2 n 4989600 n (n - 4) 81588713 n ((n - 1) ) (n - 3) - ------------------- - --------------------------------- n 12 8 n 3 11 n (n - 4) 18 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 4891344 n ((n - 1) ) (n - 3) 3544658 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 11 8 n 3 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1540920 n ((n - 1) ) (n - 3) 302400 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 8 n 3 11 8 n 3 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n n 19 n n 589 n (n - 1) (n - 4) 42943 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 4 n 2 13 4 n 2 13 72 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 18 n n 17 n n 176551 n (n - 1) (n - 4) 2775097 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 4 n 2 13 4 n 2 13 54 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 16 n n 15 n n 72715357 n (n - 1) (n - 4) 479616709 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 13 4 n 2 13 216 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 14 n n 13 n n 1608375197 n (n - 1) (n - 4) 9279725741 n (n - 1) (n - 4) - -------------------------------- + -------------------------------- 4 n 2 13 4 n 2 13 144 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 9 n n 8 n n 524505814 n (n - 1) (n - 4) 408439296 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 277711863 n (n - 1) (n - 4) 6796527335 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 7 n n 10 n n 190398240 n (n - 1) (n - 4) 1356329675 n (n - 1) (n - 4) + ------------------------------ - -------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 6 n n 22 n n 39916800 n (n - 1) (n - 4) n (n - 1) (n - 4) - ----------------------------- - ---------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 9 n 3 7 9 n 3 7 24 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 91 n ((n - 1) ) (n - 2) 835 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 3 7 9 n 3 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 10011 n ((n - 1) ) (n - 2) 41145 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 88667 n ((n - 1) ) (n - 2) 88970 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 40684 n ((n - 1) ) (n - 2) 36270 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 18864 n ((n - 1) ) (n - 2) 4320 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 79378283 n ((n - 1) ) (n - 3) 77785834 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 37551629 n ((n - 1) ) (n - 3) 12960918 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 9051024 n ((n - 1) ) (n - 3) 3807072 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n 4 725760 n ((n - 1) ) (n - 3) 192 n ((n - 1) ) - ------------------------------ + ------------------- 9 n 3 10 19 n 4 (n - 1) (n ) (n - 3) (n - 1) (n ) 13 n 3 12 n 3 11 n 3 677 n ((n - 1) ) 889 n ((n - 1) ) 231 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 13 n 3 13 n 3 13 n 3 24 (n - 1) (n ) 12 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 12 n 11 n 10 n 99 n ((n - 1) ) n (n - 3) 19 n (n - 3) 103 n (n - 3) + ------------------ + -------------- - --------------- + ---------------- 13 n 3 n 9 n 9 n 9 (n - 1) (n ) 24 n (n - 3) 12 n (n - 3) 4 n (n - 3) 9 n 8 n 7 n 469 n (n - 3) 10507 n (n - 3) 18697 n (n - 3) - --------------- + ----------------- - ----------------- n 9 n 9 n 9 2 n (n - 3) 8 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 63173 n (n - 3) 43229 n (n - 3) 10812 n (n - 3) + ----------------- - ----------------- + ----------------- n 9 n 9 n 9 6 n (n - 3) 3 n (n - 3) n (n - 3) 3 n 22 n n 3360 n (n - 3) n (n - 1) (n - 4) - ---------------- - ---------------------------- n 9 5 n 2 12 n (n - 3) 288 (n - 1) (n ) (n - 4) 21 n n 20 n n 5 n (n - 1) (n - 4) 1463 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 18 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 16 n n 15 n n 1201 n (n - 1) (n - 3) 678 n (n - 1) (n - 3) - --------------------------- + ------------------------- 4 n 2 10 4 n 2 10 24 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 47961 n (n - 1) (n - 3) 72823 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 10 4 n 2 10 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 12 n n 11 n n 3734723 n (n - 1) (n - 3) 1413367 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 4 n 2 10 4 n 2 10 24 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 3005782 n (n - 1) (n - 3) 1458178 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 1376574 n (n - 1) (n - 3) 755208 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n 2 n 181440 n (n - 1) (n - 3) 13333 n ((n - 1) ) (n - 2) - --------------------------- + ------------------------------ 4 n 2 10 8 n 3 8 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 28945 n ((n - 1) ) (n - 2) 524033 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 8 n 3 8 8 n 3 8 8 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 68644 n ((n - 1) ) (n - 2) 32615 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 8 8 n 3 8 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 30069 n ((n - 1) ) (n - 2) 16101 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 20 n 2 n 3780 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 19 n ((n - 1) ) (n - 2) 213 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 8 8 n 3 8 24 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 17 n 2 n 18 n n 523 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ---------------------------- - --------------------------- 8 n 3 8 4 n 2 10 4 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 3) 17 n n 13 n n 13 n (n - 1) (n - 3) 4360130225 n (n - 1) (n - 4) + -------------------------- + -------------------------------- 4 n 2 10 5 n 2 12 6 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 4) 9 n n 8 n n 294990405 n (n - 1) (n - 4) 219808968 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 3116100565 n (n - 1) (n - 4) 2995862401 n (n - 1) (n - 4) + -------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 18 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 7 n n 18 n n 98525520 n (n - 1) (n - 4) 122129 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 19 n n 17 n n 32455 n (n - 1) (n - 4) 5287915 n (n - 1) (n - 4) + ---------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 144 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 15 n n 14 n n 259739645 n (n - 1) (n - 4) 2428307783 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 144 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 16 n n 10 n n 42561541 n (n - 1) (n - 4) 1602213833 n (n - 1) (n - 4) - ------------------------------ - -------------------------------- 5 n 2 12 5 n 2 12 144 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 6 n n 15 n n 19958400 n (n - 1) (n - 4) n (n - 1) (n - 2) - ----------------------------- - -------------------------- 5 n 2 12 5 n 2 7 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n n 11 n n 120 n (n - 1) (n - 2) 4431 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 10 n n 9 n n 6615 n (n - 1) (n - 2) 19115 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 8 n n 7 n n 3805 n (n - 1) (n - 2) 2544 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 18 n 2 n 720 n (n - 1) (n - 2) 10101053 n ((n - 1) ) (n - 3) + ------------------------ + --------------------------------- 5 n 2 7 10 n 3 9 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 21554153 n ((n - 1) ) (n - 3) 4383856 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 21750859 n ((n - 1) ) (n - 3) 40784669 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 28368101 n ((n - 1) ) (n - 3) 9440332 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 2126352 n ((n - 1) ) (n - 3) 868416 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 21 n n 161280 n ((n - 1) ) (n - 3) 11 n (n - 1) (n - 4) - ------------------------------ + --------------------------- 10 n 3 9 4 n 2 13 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 4) 22 n 4 21 n 4 20 n 4 n ((n - 1) ) 7 n ((n - 1) ) 175 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 18 n 4 18 n 4 18 n 4 48 (n - 1) (n ) 12 (n - 1) (n ) 24 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 643 n ((n - 1) ) 12305 n ((n - 1) ) 2503 n ((n - 1) ) + ------------------- - --------------------- + -------------------- 18 n 4 18 n 4 18 n 4 12 (n - 1) (n ) 48 (n - 1) (n ) 3 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 11225 n ((n - 1) ) 2854 n ((n - 1) ) 2835 n ((n - 1) ) - --------------------- + -------------------- - -------------------- 18 n 4 18 n 4 18 n 4 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 4 19 n 20 n 1656 n ((n - 1) ) 19 n (n - 5) n (n - 5) + -------------------- - ---------------- + ---------------- 18 n 4 n 15 n 15 (n - 1) (n ) 144 n (n - 5) 864 n (n - 5) 18 n 17 n 16 n 83 n (n - 5) 5309 n (n - 5) 695387 n (n - 5) + --------------- - ----------------- + ------------------- n 15 n 15 n 15 12 n (n - 5) 24 n (n - 5) 144 n (n - 5) 15 n 14 n 13 n 305123 n (n - 5) 48697207 n (n - 5) 586105949 n (n - 5) - ------------------- + --------------------- - ---------------------- n 15 n 15 n 15 4 n (n - 5) 54 n (n - 5) 72 n (n - 5) 12 n 11 n 1815429759 n (n - 5) 14717052779 n (n - 5) + ----------------------- - ------------------------ n 15 n 15 32 n (n - 5) 48 n (n - 5) 10 n 6 n 11548845763 n (n - 5) 23493273276 n (n - 5) + ------------------------ + ----------------------- n 15 n 15 9 n (n - 5) n (n - 5) 5 n 8 n 20331567824 n (n - 5) 543983918209 n (n - 5) - ----------------------- + ------------------------ n 15 n 15 n (n - 5) 54 n (n - 5) 9 n 4 n 8258229161 n (n - 5) 10497466560 n (n - 5) - ---------------------- + ----------------------- n 15 n 15 2 n (n - 5) n (n - 5) 7 n 3 n 163874126401 n (n - 5) 2421619200 n (n - 5) - ------------------------ - ---------------------- n 15 n 15 9 n (n - 5) n (n - 5) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 14 n n 13 n n 33051 n (n - 1) (n - 3) 185677 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 12 n n 11 n n 554237 n (n - 1) (n - 3) 393331 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 12 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 789646 n (n - 1) (n - 3) 1092017 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 328592 n (n - 1) (n - 3) 173424 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 40320 n (n - 1) (n - 3) - -------------------------- 5 n 2 9 (n - 1) (n ) (n - 3) and in Maple notation -36*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-432*n^12*((n-1)^n)^4/(n-1)^18/(n^n)^4-1/12 *n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/6*n^13*(n-1)^n/(n-1)^4/(n^n)^2 *(n-2)^n/(n-2)^7-143/6*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+434/3*n^11* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/12*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n -2)^n/(n-2)^7+7147/6*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-1607*n^8*(n-1) ^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1182*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-\ 2)^7-360*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+11289997/288*n^19*((n-1)^n )^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-14621597/144*n^18*((n-1)^n)^3/(n-1)^13/(n^ n)^4*(n-2)^n/(n-2)^8+7083211/36*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2) ^8-280644*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+571081/2*n^15*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-195717*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^8+80784*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-15120 *n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-1/288*n^26*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-2)^n/(n-2)^8+47/288*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n -2)^8-1007/288*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+13039/288*n^23 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-38003/96*n^22*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-2)^n/(n-2)^8+237391/96*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/ (n-2)^8-3277661/288*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+565/48*n^ 22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-28457/144*n^21*((n-1)^n)^2/(n-1 )^9/(n^n)^3*(n-3)^n/(n-3)^10+322805/144*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^ n/(n-3)^10+1/144*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-61/144*n^23* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-291191/16*n^19*((n-1)^n)^2/(n-1)^9 /(n^n)^3*(n-3)^n/(n-3)^10+15731093/144*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n /(n-3)^10-71093411/144*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+ 13549139/8*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-2366681/144*n^20*( (n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+3916937/72*n^19*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-2)^n/(n-2)^7+348922*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-\ 2)^7-233304*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+2292251/9*n^17*(( n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-1222879/9*n^18*((n-1)^n)^3/(n-1)^14/ (n^n)^4*(n-2)^n/(n-2)^7+94176*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7 -352473*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-17280*n^12*((n-1)^n)^ 3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-1/144*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2 )^n/(n-2)^7+11/36*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-887/144*n^ 24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+5429/72*n^23*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-2)^n/(n-2)^7-30053/48*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/( n-2)^7+22379/6*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+1/288*n^24*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-7/36*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-3)^n/(n-3)^9+1435/288*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-\ 11161/144*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+235735/288*n^20*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-447581/72*n^19*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-3)^n/(n-3)^9+1/24*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-19/24*n^15*((n-1) ^n)^3/(n-1)^13/(n^n)^3+51/8*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3+7/18*n^18*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-1409/144*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^10+5269/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-23219/16*n^15*( 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1)^9/(n^n)^3*(n-3)^n/(n-3)^10-37551629/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3) ^n/(n-3)^10+12960918*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-9051024* n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+3807072*n^10*((n-1)^n)^2/(n-1 )^9/(n^n)^3*(n-3)^n/(n-3)^10-725760*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-\ 3)^10+192*n^12*((n-1)^n)^4/(n-1)^19/(n^n)^4-677/24*n^13*((n-1)^n)^3/(n-1)^13/(n ^n)^3+889/12*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^3-231/2*n^11*((n-1)^n)^3/(n-1)^13/ (n^n)^3+99*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/24/(n^n)*n^12*(n-3)^n/(n-3)^9-19 /12/(n^n)*n^11*(n-3)^n/(n-3)^9+103/4/(n^n)*n^10*(n-3)^n/(n-3)^9-469/2/(n^n)*n^9 *(n-3)^n/(n-3)^9+10507/8/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/4/(n^n)*n^7*(n-3)^n/(n -3)^9+63173/6/(n^n)*n^6*(n-3)^n/(n-3)^9-43229/3/(n^n)*n^5*(n-3)^n/(n-3)^9+10812 /(n^n)*n^4*(n-3)^n/(n-3)^9-3360/(n^n)*n^3*(n-3)^n/(n-3)^9-1/288*n^22*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^12+5/18*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 12-1463/144*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1201/24*n^16*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+678*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3) ^10-47961/8*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+72823/2*n^13*(n-1)^n/ (n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-3734723/24*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^10+1413367/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-3005782/3*n^ 10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1458178*n^9*(n-1)^n/(n-1)^4/(n^n)^2 *(n-3)^n/(n-3)^10-1376574*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+755208*n ^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-181440*n^6*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^10+13333/16*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-\ 28945/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+524033/48*n^14*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-68644/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^8+32615*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-30069*n^ 11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+16101*n^10*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^8-3780*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+1/ 48*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-19/24*n^19*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-2)^n/(n-2)^8+213/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-\ 2)^8-523/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-1/24*n^18*(n-1)^n/( n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+13/6*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3) ^10+4360130225/144*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+294990405*n^9* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-219808968*n^8*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^12+3116100565/18*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 2995862401/36*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+98525520*n^7*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-122129/36*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^12+32455/144*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+5287915/144 *n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+259739645/144*n^15*(n-1)^n/(n-1) ^5/(n^n)^2*(n-4)^n/(n-4)^12-2428307783/288*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^12-42561541/144*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1602213833 /6*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-19958400*n^6*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^12-1/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+5/4*n ^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2*( n-2)^n/(n-2)^7+120*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-4431/8*n^11*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+6615/4*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^ n/(n-2)^7-19115/6*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+3805*n^8*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-2544*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^ 7+720*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+10101053/288*n^18*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-21554153/144*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-3)^n/(n-3)^9+4383856/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-\ 21750859/18*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+40784669/18*n^14* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-28368101/9*n^13*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^9+9440332/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^9-2126352*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+868416*n^10*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-161280*n^9*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^9+11/54*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-1/48*n ^22*((n-1)^n)^4/(n-1)^18/(n^n)^4+7/12*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-175/24* n^20*((n-1)^n)^4/(n-1)^18/(n^n)^4+643/12*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^4-\ 12305/48*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+2503/3*n^17*((n-1)^n)^4/(n-1)^18/(n^ n)^4-11225/6*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+2854*n^15*((n-1)^n)^4/(n-1)^18/( n^n)^4-2835*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+1656*n^13*((n-1)^n)^4/(n-1)^18/(n ^n)^4-19/144/(n^n)*n^19*(n-5)^n/(n-5)^15+1/864/(n^n)*n^20*(n-5)^n/(n-5)^15+83/ 12/(n^n)*n^18*(n-5)^n/(n-5)^15-5309/24/(n^n)*n^17*(n-5)^n/(n-5)^15+695387/144/( n^n)*n^16*(n-5)^n/(n-5)^15-305123/4/(n^n)*n^15*(n-5)^n/(n-5)^15+48697207/54/(n^ n)*n^14*(n-5)^n/(n-5)^15-586105949/72/(n^n)*n^13*(n-5)^n/(n-5)^15+1815429759/32 /(n^n)*n^12*(n-5)^n/(n-5)^15-14717052779/48/(n^n)*n^11*(n-5)^n/(n-5)^15+ 11548845763/9/(n^n)*n^10*(n-5)^n/(n-5)^15+23493273276/(n^n)*n^6*(n-5)^n/(n-5)^ 15-20331567824/(n^n)*n^5*(n-5)^n/(n-5)^15+543983918209/54/(n^n)*n^8*(n-5)^n/(n-\ 5)^15-8258229161/2/(n^n)*n^9*(n-5)^n/(n-5)^15+10497466560/(n^n)*n^4*(n-5)^n/(n-\ 5)^15-163874126401/9/(n^n)*n^7*(n-5)^n/(n-5)^15-2421619200/(n^n)*n^3*(n-5)^n/(n -5)^15-1/48*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/48*n^17*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/24*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 9+6101/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-33051/16*n^14*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/16*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^9-554237/12*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+393331/3*n^11*(n-1 )^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-789646/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^9+1092017/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-328592*n^8*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+173424*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^9-40320*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 The, 2, 4, mixed moment of, X[3], and , X[4], is 32 n 4 n 23 n 4 n n ((n - 1) ) (n - 2) 278545 n ((n - 1) ) (n - 2) ----------------------------- - ------------------------------- 20 n 5 6 20 n 5 6 5184 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 8381371 n ((n - 1) ) (n - 2) 9811289 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 20 n 5 6 20 n 5 6 54 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 31 n 4 n 30 n 4 n 17 n ((n - 1) ) (n - 2) 15 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------- 20 n 5 6 20 n 5 6 1728 (n - 1) (n ) (n - 2) 64 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n 665 n ((n - 1) ) (n - 2) 61435 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 20 n 5 6 20 n 5 6 192 (n - 1) (n ) (n - 2) 1728 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 154921 n ((n - 1) ) (n - 2) 8048029 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 20 n 5 6 20 n 5 6 576 (n - 1) (n ) (n - 2) 5184 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 12065075 n ((n - 1) ) (n - 2) 792425 n ((n - 1) ) (n - 2) - --------------------------------- + ------------------------------- 20 n 5 6 20 n 5 6 1728 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 467968 n ((n - 1) ) (n - 2) 50816 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 20 n 5 6 20 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 10446410 n ((n - 1) ) (n - 2) 2658640 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 20 n 5 6 20 n 5 6 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 7680 n ((n - 1) ) (n - 2) 60299225 n ((n - 1) ) (n - 2) - ----------------------------- + --------------------------------- 20 n 5 6 20 n 5 6 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 31 n 4 n 32 n 4 n 53 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 19 n 5 7 19 n 5 7 648 (n - 1) (n ) (n - 2) 648 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n 1309 n ((n - 1) ) (n - 2) 20009 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 5 7 19 n 5 7 648 (n - 1) (n ) (n - 2) 648 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 211999 n ((n - 1) ) (n - 2) 1652123 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 19 n 5 7 19 n 5 7 648 (n - 1) (n ) (n - 2) 648 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 9805271 n ((n - 1) ) (n - 2) 45262315 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 19 n 5 7 19 n 5 7 648 (n - 1) (n ) (n - 2) 648 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 41123735 n ((n - 1) ) (n - 2) 118312915 n ((n - 1) ) (n - 2) + --------------------------------- - ---------------------------------- 19 n 5 7 19 n 5 7 162 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 134696362 n ((n - 1) ) (n - 2) 3401088 n ((n - 1) ) (n - 2) + ---------------------------------- + -------------------------------- 19 n 5 7 19 n 5 7 81 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 20 n 4 n 1822976 n ((n - 1) ) (n - 2) 111903416 n ((n - 1) ) (n - 2) - -------------------------------- + ---------------------------------- 19 n 5 7 19 n 5 7 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 241276466 n ((n - 1) ) (n - 2) 602112 n ((n - 1) ) (n - 2) - ---------------------------------- + ------------------------------- 19 n 5 7 19 n 5 7 81 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 39450472 n ((n - 1) ) (n - 2) 92160 n ((n - 1) ) (n - 2) - --------------------------------- - ------------------------------ 19 n 5 7 19 n 5 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 3 n 27 n 3 n 655 n ((n - 1) ) (n - 3) 12239 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 15 n 4 9 15 n 4 9 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 158429 n ((n - 1) ) (n - 3) 1508917 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 15 n 4 9 15 n 4 9 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 32878807 n ((n - 1) ) (n - 3) 186223847 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 15 n 4 9 15 n 4 9 1296 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 3) 22 n 3 n 30 n 3 n 69487775 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - --------------------------------- - ----------------------------- 15 n 4 9 15 n 4 9 108 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 3) 29 n 3 n 21 n 3 n 65 n ((n - 1) ) (n - 3) 247817125 n ((n - 1) ) (n - 3) + ----------------------------- + ---------------------------------- 15 n 4 9 15 n 4 9 1296 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 176388457 n ((n - 1) ) (n - 3) 399915215 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 15 n 4 9 15 n 4 9 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 18 n 3 n 2149689820 n ((n - 1) ) (n - 3) - ----------------------------------- 15 n 4 9 81 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 3002025572 n ((n - 1) ) (n - 3) 39437792 n ((n - 1) ) (n - 3) + ----------------------------------- - --------------------------------- 15 n 4 9 15 n 4 9 81 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 277569664 n ((n - 1) ) (n - 3) 50041856 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 15 n 4 9 15 n 4 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 5563392 n ((n - 1) ) (n - 3) 860160 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 15 n 4 9 15 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n 4 n 21 n 4 n 405524909 n ((n - 1) ) (n - 2) 186550591 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 18 n 5 8 18 n 5 8 216 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 88706797 n ((n - 1) ) (n - 2) 16001746 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 18 n 5 8 18 n 5 8 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 4227930 n ((n - 1) ) (n - 2) 2311224 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 18 n 5 8 18 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 777312 n ((n - 1) ) (n - 2) 120960 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 5 8 18 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 32 n 4 n 31 n 4 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 18 n 5 8 18 n 5 8 864 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n 91 n ((n - 1) ) (n - 2) 5837 n ((n - 1) ) (n - 2) + --------------------------- - ----------------------------- 18 n 5 8 18 n 5 8 54 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 129335 n ((n - 1) ) (n - 2) 525359 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 5 8 18 n 5 8 432 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 3241097 n ((n - 1) ) (n - 2) 15510415 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 18 n 5 8 18 n 5 8 216 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 233164505 n ((n - 1) ) (n - 2) 173014555 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 18 n 5 8 18 n 5 8 864 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 3153263 n ((n - 1) ) (n - 3) 8065577 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 14 n 4 10 14 n 4 10 216 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 23 n 3 n 30 n 3 n 144279631 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ---------------------------------- - ----------------------------- 14 n 4 10 14 n 4 10 216 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 29 n 3 n 28 n 3 n 35 n ((n - 1) ) (n - 3) 1135 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 14 n 4 10 14 n 4 10 216 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 22661 n ((n - 1) ) (n - 3) 156113 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 14 n 4 10 14 n 4 10 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 22 n 3 n 1355630875 n ((n - 1) ) (n - 3) - ----------------------------------- 14 n 4 10 432 (n - 1) (n ) (n - 3) 21 n 3 n 1263990425 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 4 10 108 (n - 1) (n ) (n - 3) 20 n 3 n 3751762159 n ((n - 1) ) (n - 3) - ----------------------------------- 14 n 4 10 108 (n - 1) (n ) (n - 3) 19 n 3 n 2210471825 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 4 10 27 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 4105513325 n ((n - 1) ) (n - 3) 658575628 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 14 n 4 10 14 n 4 10 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 722663188 n ((n - 1) ) (n - 3) 193792688 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 4 10 14 n 4 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 107580096 n ((n - 1) ) (n - 3) 36746496 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 14 n 4 10 14 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 9 n 3 5806080 n ((n - 1) ) (n - 3) 36 n ((n - 1) ) - -------------------------------- - ----------------- 14 n 4 10 13 n 3 (n - 1) (n ) (n - 3) (n - 1) (n ) 12 n 4 16 n 2 n 576 n ((n - 1) ) 42439074236 n ((n - 1) ) (n - 4) - ------------------- + ------------------------------------ 18 n 4 10 n 3 12 (n - 1) (n ) 27 (n - 1) (n ) (n - 4) 12 n 2 n 4567163656 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 2672234784 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 13972449976 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 12 3 (n - 1) (n ) (n - 4) 15 n 2 n 165538564283 n ((n - 1) ) (n - 4) - ------------------------------------- 10 n 3 12 54 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 961176960 n ((n - 1) ) (n - 4) 99000461 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------------- 10 n 3 12 10 n 3 12 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 12954139 n ((n - 1) ) (n - 4) 1063404605 n ((n - 1) ) (n - 4) + --------------------------------- + ----------------------------------- 10 n 3 12 10 n 3 12 54 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 18 n 2 n 1854716131 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 12 9 (n - 1) (n ) (n - 4) 17 n 2 n 45880488367 n ((n - 1) ) (n - 4) - ------------------------------------ 10 n 3 12 72 (n - 1) (n ) (n - 4) 19 n 2 n 1708312815 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 12 32 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 16155412094 n ((n - 1) ) (n - 4) 159667200 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 10 n 3 12 10 n 3 12 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 27 n 2 n 26 n 2 n 89 n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) - ----------------------------- + --------------------------- 10 n 3 12 10 n 3 12 864 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 2593 n ((n - 1) ) (n - 4) 273203 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 10 n 3 12 10 n 3 12 24 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 23 n 2 n 28 n 2 n 3521167 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - -------------------------------- + ----------------------------- 10 n 3 12 10 n 3 12 144 (n - 1) (n ) (n - 4) 864 (n - 1) (n ) (n - 4) 30 n 3 n 29 n 3 n n ((n - 1) ) (n - 3) 19 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 13 n 4 11 13 n 4 11 1296 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n 1333 n ((n - 1) ) (n - 3) 28679 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 13 n 4 11 13 n 4 11 648 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 53015 n ((n - 1) ) (n - 3) 4579043 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 13 n 4 11 13 n 4 11 81 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 4157021 n ((n - 1) ) (n - 3) 236594185 n ((n - 1) ) (n - 3) - -------------------------------- + ---------------------------------- 13 n 4 11 13 n 4 11 72 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 22 n 3 n 2348470015 n ((n - 1) ) (n - 3) - ----------------------------------- 13 n 4 11 1296 (n - 1) (n ) (n - 3) 21 n 3 n 4609195195 n ((n - 1) ) (n - 3) + ----------------------------------- 13 n 4 11 648 (n - 1) (n ) (n - 3) 20 n 3 n 7173276019 n ((n - 1) ) (n - 3) - ----------------------------------- 13 n 4 11 324 (n - 1) (n ) (n - 3) 19 n 3 n 8833202407 n ((n - 1) ) (n - 3) + ----------------------------------- 13 n 4 11 162 (n - 1) (n ) (n - 3) 18 n 3 n 8543826761 n ((n - 1) ) (n - 3) - ----------------------------------- 13 n 4 11 81 (n - 1) (n ) (n - 3) 17 n 3 n 1423000762 n ((n - 1) ) (n - 3) + ----------------------------------- 13 n 4 11 9 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1616416420 n ((n - 1) ) (n - 3) 447448088 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 13 n 4 11 13 n 4 11 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 85238208 n ((n - 1) ) (n - 3) 29896320 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 13 n 4 11 13 n 4 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 28 n 2 n 4838400 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - -------------------------------- + ---------------------------- 13 n 4 11 9 n 3 13 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 4) 27 n 2 n 23 n 2 n 97 n ((n - 1) ) (n - 4) 15840053 n ((n - 1) ) (n - 4) - ---------------------------- - --------------------------------- 9 n 3 13 9 n 3 13 648 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 13919576 n ((n - 1) ) (n - 4) 341865346 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 9 n 3 13 9 n 3 13 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 20 n 2 n 17639038885 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 648 (n - 1) (n ) (n - 4) 19 n 2 n 90415987805 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 13 648 (n - 1) (n ) (n - 4) 18 n 2 n 46235268677 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 81 (n - 1) (n ) (n - 4) 17 n 2 n 301917561413 n ((n - 1) ) (n - 4) - ------------------------------------- 9 n 3 13 162 (n - 1) (n ) (n - 4) 16 n 2 n 391769964724 n ((n - 1) ) (n - 4) + ------------------------------------- 9 n 3 13 81 (n - 1) (n ) (n - 4) 12 n 2 n 16640708128 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 (n - 1) (n ) (n - 4) 11 n 2 n 10074765696 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 13 (n - 1) (n ) (n - 4) 14 n 2 n 141293601104 n ((n - 1) ) (n - 4) + ------------------------------------- 9 n 3 13 9 (n - 1) (n ) (n - 4) 15 n 2 n 267024277666 n ((n - 1) ) (n - 4) - ------------------------------------- 9 n 3 13 27 (n - 1) (n ) (n - 4) 10 n 2 n 3738263040 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 13 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 18902760312 n ((n - 1) ) (n - 4) 638668800 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 9 n 3 13 9 n 3 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 544 n ((n - 1) ) (n - 4) 30001 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 9 n 3 13 9 n 3 13 81 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 24 n 2 n 22 n n 1139689 n ((n - 1) ) (n - 4) 1008425 n (n - 1) (n - 5) + -------------------------------- - ----------------------------- 9 n 3 13 5 n 2 15 324 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 5) 23 n n 21 n n 3443 n (n - 1) (n - 5) 6031673 n (n - 1) (n - 5) + --------------------------- + ----------------------------- 5 n 2 15 5 n 2 15 18 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 20 n n 19 n n 371345443 n (n - 1) (n - 5) 1321614641 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 5 n 2 15 5 n 2 15 324 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 18 n n 17 n n 134155841729 n (n - 1) (n - 5) 33615598705 n (n - 1) (n - 5) - ---------------------------------- + --------------------------------- 5 n 2 15 5 n 2 15 1296 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 16 n n 15 n n 205670081149 n (n - 1) (n - 5) 600270470033 n (n - 1) (n - 5) - ---------------------------------- + ---------------------------------- 5 n 2 15 5 n 2 15 54 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 14 n n 4749713968393 n (n - 1) (n - 5) - ----------------------------------- 5 n 2 15 81 (n - 1) (n ) (n - 5) 13 n n 9 n n 4446470227727 n (n - 1) (n - 5) 2378716280576 n (n - 1) (n - 5) + ----------------------------------- + ---------------------------------- 5 n 2 15 5 n 2 15 27 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 8 n n 11 n n 521790887424 n (n - 1) (n - 5) 5681734803356 n (n - 1) (n - 5) - --------------------------------- + ----------------------------------- 5 n 2 15 5 n 2 15 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 29612753952320 n (n - 1) (n - 5) 209934197760 n (n - 1) (n - 5) - ------------------------------------ + --------------------------------- 5 n 2 15 5 n 2 15 81 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 7447826115328 n (n - 1) (n - 5) 38745907200 n (n - 1) (n - 5) - ----------------------------------- - -------------------------------- 5 n 2 15 5 n 2 15 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 25 n n 24 n n 41 n (n - 1) (n - 5) 1757 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 5 n 2 15 5 n 2 15 432 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 26 n n 24 n 2 n n (n - 1) (n - 5) 1608067 n ((n - 1) ) (n - 4) - ----------------------------- + -------------------------------- 5 n 2 15 8 n 3 14 1296 (n - 1) (n ) (n - 5) 2592 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 12111871 n ((n - 1) ) (n - 4) 92020211 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 8 n 3 14 8 n 3 14 1296 (n - 1) (n ) (n - 4) 864 (n - 1) (n ) (n - 4) 21 n 2 n 608668177 n ((n - 1) ) (n - 4) - ---------------------------------- 8 n 3 14 648 (n - 1) (n ) (n - 4) 20 n 2 n 33715653205 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 14 5184 (n - 1) (n ) (n - 4) 19 n 2 n 92430440245 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 14 2592 (n - 1) (n ) (n - 4) 18 n 2 n 805846468921 n ((n - 1) ) (n - 4) + ------------------------------------- 8 n 3 14 5184 (n - 1) (n ) (n - 4) 17 n 2 n 349094039047 n ((n - 1) ) (n - 4) - ------------------------------------- 8 n 3 14 648 (n - 1) (n ) (n - 4) 16 n 2 n 1915715915441 n ((n - 1) ) (n - 4) + -------------------------------------- 8 n 3 14 1296 (n - 1) (n ) (n - 4) 12 n 2 n 6114810719 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 14 (n - 1) (n ) (n - 4) 11 n 2 n 3841253544 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 14 (n - 1) (n ) (n - 4) 14 n 2 n 190832614711 n ((n - 1) ) (n - 4) + ------------------------------------- 8 n 3 14 36 (n - 1) (n ) (n - 4) 15 n 2 n 85943772647 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 14 27 (n - 1) (n ) (n - 4) 10 n 2 n 1473762960 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 14 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 6670565826 n ((n - 1) ) (n - 4) 259459200 n ((n - 1) ) (n - 4) - ----------------------------------- - --------------------------------- 8 n 3 14 8 n 3 14 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 28 n 2 n 27 n 2 n n ((n - 1) ) (n - 4) 53 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 14 8 n 3 14 5184 (n - 1) (n ) (n - 4) 2592 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 5189 n ((n - 1) ) (n - 4) 9739 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 14 8 n 3 14 5184 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 26 n n 25 n n n (n - 1) (n - 5) 67 n (n - 1) (n - 5) - ----------------------------- + ----------------------------- 4 n 2 16 4 n 2 16 2592 (n - 1) (n ) (n - 5) 1296 (n - 1) (n ) (n - 5) 24 n n 22 n n 2779 n (n - 1) (n - 5) 1414853 n (n - 1) (n - 5) - ---------------------------- - ----------------------------- 4 n 2 16 4 n 2 16 864 (n - 1) (n ) (n - 5) 432 (n - 1) (n ) (n - 5) 23 n n 21 n n 1111 n (n - 1) (n - 5) 13780991 n (n - 1) (n - 5) + -------------------------- + ------------------------------ 4 n 2 16 4 n 2 16 9 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 5) 20 n n 19 n n 1226222957 n (n - 1) (n - 5) 3541289827 n (n - 1) (n - 5) - -------------------------------- + -------------------------------- 4 n 2 16 4 n 2 16 1296 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 18 n n 17 n n 86241734215 n (n - 1) (n - 5) 104725443355 n (n - 1) (n - 5) - --------------------------------- + ---------------------------------- 4 n 2 16 4 n 2 16 864 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 16 n n 3670055833847 n (n - 1) (n - 5) - ----------------------------------- 4 n 2 16 864 (n - 1) (n ) (n - 5) 15 n n 2150429005361 n (n - 1) (n - 5) + ----------------------------------- 4 n 2 16 108 (n - 1) (n ) (n - 5) 14 n n 48425073199363 n (n - 1) (n - 5) - ------------------------------------ 4 n 2 16 648 (n - 1) (n ) (n - 5) 13 n n 36160047009713 n (n - 1) (n - 5) + ------------------------------------ 4 n 2 16 162 (n - 1) (n ) (n - 5) 9 n n 8 n n 1324540846328 n (n - 1) (n - 5) 909522759840 n (n - 1) (n - 5) + ---------------------------------- - --------------------------------- 4 n 2 16 4 n 2 16 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 8615112103904 n (n - 1) (n - 5) + ----------------------------------- 4 n 2 16 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 28354575387061 n (n - 1) (n - 5) 380307715200 n (n - 1) (n - 5) - ------------------------------------ + --------------------------------- 4 n 2 16 4 n 2 16 54 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 3958825222406 n (n - 1) (n - 5) 72648576000 n (n - 1) (n - 5) - ----------------------------------- - -------------------------------- 4 n 2 16 4 n 2 16 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 1063 n ((n - 1) ) (n - 2) 2401 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 133591 n ((n - 1) ) (n - 2) 24937 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 4515065 n ((n - 1) ) (n - 2) 2883433 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 6362695 n ((n - 1) ) (n - 2) 3257984 n ((n - 1) ) (n - 2) - -------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 684928 n ((n - 1) ) (n - 2) 24682522 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 4789178 n ((n - 1) ) (n - 2) 87552 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------ 15 n 4 7 15 n 4 7 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 3517628 n ((n - 1) ) (n - 2) 15360 n ((n - 1) ) (n - 2) + -------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 35237 n ((n - 1) ) (n - 3) 436633 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 20 n 2 n 14 n n 3911939 n ((n - 1) ) (n - 3) n (n - 1) (n - 2) - -------------------------------- - -------------------------- 10 n 3 10 4 n 2 7 432 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 11 n n 10 n n 434 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 1607 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 1182 n (n - 1) (n - 2) 360 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 11289997 n ((n - 1) ) (n - 2) 14621597 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 13 n 4 8 13 n 4 8 72 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 7083211 n ((n - 1) ) (n - 2) 1122576 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 13 n 4 8 13 n 4 8 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 1142162 n ((n - 1) ) (n - 2) 782868 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 323136 n ((n - 1) ) (n - 2) 60480 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 13 n 4 8 13 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 2) 47 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 13 n 4 8 13 n 4 8 72 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 1007 n ((n - 1) ) (n - 2) 13039 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 13 n 4 8 13 n 4 8 72 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 38003 n ((n - 1) ) (n - 2) 237391 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 13 n 4 8 13 n 4 8 24 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 20 n 3 n 22 n 2 n 3277661 n ((n - 1) ) (n - 2) 565 n ((n - 1) ) (n - 3) - -------------------------------- + ---------------------------- 13 n 4 8 9 n 3 10 72 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 28457 n ((n - 1) ) (n - 3) 322805 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 9 n 3 10 9 n 3 10 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 61 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 9 n 3 10 9 n 3 10 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 291191 n ((n - 1) ) (n - 3) 15731093 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 4 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 71093411 n ((n - 1) ) (n - 3) 13549139 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 36 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 15 n 5 20 n 3 n 768 n ((n - 1) ) 2366681 n ((n - 1) ) (n - 2) + ------------------- - -------------------------------- 24 n 5 14 n 4 7 (n - 1) (n ) 72 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 3916937 n ((n - 1) ) (n - 2) 697844 n ((n - 1) ) (n - 2) + -------------------------------- + ------------------------------- 14 n 4 7 14 n 4 7 36 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 466608 n ((n - 1) ) (n - 2) 4584502 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 2445758 n ((n - 1) ) (n - 2) 188352 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 14 n 4 7 14 n 4 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 704946 n ((n - 1) ) (n - 2) 34560 n ((n - 1) ) (n - 2) - ------------------------------- - ------------------------------ 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 14 n 4 7 14 n 4 7 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 887 n ((n - 1) ) (n - 2) 5429 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 4 7 14 n 4 7 72 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 30053 n ((n - 1) ) (n - 2) 22379 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 4 7 14 n 4 7 24 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 1435 n ((n - 1) ) (n - 3) 11161 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 235735 n ((n - 1) ) (n - 3) 447581 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 23 n 24 n 18 n 167 n (n - 6) n (n - 6) 5054194265 n (n - 6) - ----------------- + ----------------- + ----------------------- n 18 n 18 n 18 5184 n (n - 6) 5184 n (n - 6) 2592 n (n - 6) 17 n 16 n 75809637565 n (n - 6) 1813155240761 n (n - 6) - ------------------------ + -------------------------- n 18 n 18 2592 n (n - 6) 5184 n (n - 6) 15 n 14 n 17456799504547 n (n - 6) 15119065406965 n (n - 6) - --------------------------- + --------------------------- n 18 n 18 5184 n (n - 6) 576 n (n - 6) 13 n 12 n 286844844624715 n (n - 6) 2205455697921833 n (n - 6) - ---------------------------- + ----------------------------- n 18 n 18 1728 n (n - 6) 2592 n (n - 6) 11 n 10 n 285139607911208 n (n - 6) 1889787999415795 n (n - 6) - ---------------------------- + ----------------------------- n 18 n 18 81 n (n - 6) 162 n (n - 6) 6 n 5 n 325443214400440 n (n - 6) 83381666994400 n (n - 6) + --------------------------- - -------------------------- n 18 n 18 3 n (n - 6) n (n - 6) 8 n 9 n 3369321203125991 n (n - 6) 9912728458996285 n (n - 6) + ---------------------------- - ---------------------------- n 18 n 18 54 n (n - 6) 324 n (n - 6) 4 n 7 n 38885905632000 n (n - 6) 867644930951182 n (n - 6) + -------------------------- - --------------------------- n 18 n 18 n (n - 6) 9 n (n - 6) 3 n 16 n 3 15 n 3 8233505280000 n (n - 6) n ((n - 1) ) 19 n ((n - 1) ) - ------------------------- + ------------------ - ------------------ n 18 13 n 3 13 n 3 n (n - 6) 24 (n - 1) (n ) 24 (n - 1) (n ) 14 n 3 34 n 6 33 n 6 51 n ((n - 1) ) 5 n ((n - 1) ) 115 n ((n - 1) ) + ------------------ - -------------------- + -------------------- 13 n 3 28 n 6 28 n 6 8 (n - 1) (n ) 5184 (n - 1) (n ) 2592 (n - 1) (n ) 32 n 6 31 n 6 30 n 6 1645 n ((n - 1) ) 8195 n ((n - 1) ) 603535 n ((n - 1) ) - -------------------- + -------------------- - ---------------------- 28 n 6 28 n 6 28 n 6 1728 (n - 1) (n ) 648 (n - 1) (n ) 5184 (n - 1) (n ) 29 n 6 28 n 6 680405 n ((n - 1) ) 20988505 n ((n - 1) ) + ---------------------- - ------------------------ 28 n 6 28 n 6 864 (n - 1) (n ) 5184 (n - 1) (n ) 27 n 6 26 n 6 20914825 n ((n - 1) ) 21773125 n ((n - 1) ) + ------------------------ - ------------------------ 28 n 6 28 n 6 1296 (n - 1) (n ) 432 (n - 1) (n ) 25 n 6 24 n 6 10023200 n ((n - 1) ) 77126255 n ((n - 1) ) + ------------------------ - ------------------------ 28 n 6 28 n 6 81 (n - 1) (n ) 324 (n - 1) (n ) 23 n 6 22 n 6 3195205 n ((n - 1) ) 1207295 n ((n - 1) ) + ----------------------- - ----------------------- 28 n 6 28 n 6 9 (n - 1) (n ) 3 (n - 1) (n ) 21 n 6 20 n 6 19 n 6 1005520 n ((n - 1) ) 193440 n ((n - 1) ) 69120 n ((n - 1) ) + ----------------------- - ---------------------- + --------------------- 28 n 6 28 n 6 28 n 6 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 21 n 22 n 19 n 630565 n (n - 6) 13025 n (n - 6) 88187857 n (n - 6) - ------------------- + ------------------ - --------------------- n 18 n 18 n 18 5184 n (n - 6) 5184 n (n - 6) 864 n (n - 6) 20 n 18 n n 1770203 n (n - 6) 14 n (n - 1) (n - 3) + -------------------- + -------------------------- n 18 5 n 2 10 432 n (n - 6) 9 (n - 1) (n ) (n - 3) 17 n n 16 n n 1409 n (n - 1) (n - 3) 5269 n (n - 1) (n - 3) - --------------------------- + -------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 23219 n (n - 1) (n - 3) 120784 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 4 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n n 12 n n 7230227 n (n - 1) (n - 3) 6561457 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n n 10 n n 17318500 n (n - 1) (n - 3) 32795324 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 14418572 n (n - 1) (n - 3) 4174336 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2134848 n (n - 1) (n - 3) 483840 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 67 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 8 n 3 11 8 n 3 11 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 679 n ((n - 1) ) (n - 3) 37259 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 8 n 3 11 8 n 3 11 48 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 458339 n ((n - 1) ) (n - 3) 446157 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 11 8 n 3 11 144 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 25876631 n ((n - 1) ) (n - 3) 124897817 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 8 n 3 11 8 n 3 11 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 3161301 n ((n - 1) ) (n - 3) 313240477 n ((n - 1) ) (n - 3) + -------------------------------- - ---------------------------------- 8 n 3 11 8 n 3 11 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 14 n 2 n 29 n 5 161436772 n ((n - 1) ) (n - 3) n ((n - 1) ) + ---------------------------------- + -------------------- 8 n 3 11 24 n 5 9 (n - 1) (n ) (n - 3) 2592 (n - 1) (n ) 28 n 5 27 n 5 26 n 5 41 n ((n - 1) ) 97 n ((n - 1) ) 4493 n ((n - 1) ) - -------------------- + ------------------- - -------------------- 24 n 5 24 n 5 24 n 5 2592 (n - 1) (n ) 324 (n - 1) (n ) 1296 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 23707 n ((n - 1) ) 135655 n ((n - 1) ) 868075 n ((n - 1) ) + --------------------- - ---------------------- + ---------------------- 24 n 5 24 n 5 24 n 5 864 (n - 1) (n ) 864 (n - 1) (n ) 1296 (n - 1) (n ) 22 n 5 21 n 5 701165 n ((n - 1) ) 431000 n ((n - 1) ) - ---------------------- + ---------------------- 24 n 5 24 n 5 324 (n - 1) (n ) 81 (n - 1) (n ) 20 n 5 19 n 5 1605065 n ((n - 1) ) 371321 n ((n - 1) ) - ----------------------- + ---------------------- 24 n 5 24 n 5 162 (n - 1) (n ) 27 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 124192 n ((n - 1) ) 28384 n ((n - 1) ) 3968 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 24 n 5 24 n 5 24 n 5 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 21 n 19 n 20 n n (n - 5) 427 n (n - 5) 43 n (n - 5) + ----------------- + ---------------- - ---------------- n 16 n 16 n 16 2592 n (n - 5) 144 n (n - 5) 864 n (n - 5) 18 n 17 n 16 n 7799 n (n - 5) 1173197 n (n - 5) 7138411 n (n - 5) - ----------------- + -------------------- - -------------------- n 16 n 16 n 16 72 n (n - 5) 432 n (n - 5) 144 n (n - 5) 15 n 14 n 220969229 n (n - 5) 1560050089 n (n - 5) + ---------------------- - ----------------------- n 16 n 16 324 n (n - 5) 216 n (n - 5) 13 n 12 n 17168408257 n (n - 5) 111128444713 n (n - 5) + ------------------------ - ------------------------- n 16 n 16 288 n (n - 5) 288 n (n - 5) 11 n 10 n 847048907263 n (n - 5) 140263145113 n (n - 5) + ------------------------- - ------------------------- n 16 n 16 432 n (n - 5) 18 n (n - 5) 6 n 5 n 372730666964 n (n - 5) 105156994640 n (n - 5) - ------------------------ + ------------------------ n 16 n 16 3 n (n - 5) n (n - 5) 8 n 9 n 3047667843847 n (n - 5) 1944283364207 n (n - 5) - ------------------------- + ------------------------- n 16 n 16 54 n (n - 5) 81 n (n - 5) 4 n 7 n 53294539200 n (n - 5) 889850451833 n (n - 5) - ----------------------- + ------------------------ n 16 n 16 n (n - 5) 9 n (n - 5) 3 n 21 n 2 n 12108096000 n (n - 5) n ((n - 1) ) (n - 2) + ----------------------- + --------------------------- n 16 10 n 3 7 n (n - 5) 72 (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n 13 n ((n - 1) ) (n - 2) 343 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 7 10 n 3 7 24 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 1199 n ((n - 1) ) (n - 2) 16691 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 7 10 n 3 7 12 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 27063 n ((n - 1) ) (n - 2) 106051 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 8 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 88768 n ((n - 1) ) (n - 2) 477932 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 199006 n ((n - 1) ) (n - 2) 54648 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 26592 n ((n - 1) ) (n - 2) 5760 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n n 17 n 16 n n (n - 1) (n - 3) n (n - 4) 83 n (n - 4) - --------------------------- + --------------- - --------------- 5 n 2 10 n 13 n 13 36 (n - 1) (n ) (n - 3) 72 n (n - 4) 72 n (n - 4) 15 n 14 n 13 n 3113 n (n - 4) 69823 n (n - 4) 348205 n (n - 4) + ----------------- - ------------------ + ------------------- n 13 n 13 n 13 72 n (n - 4) 72 n (n - 4) 24 n (n - 4) 12 n 11 n 10 n 3669523 n (n - 4) 84120179 n (n - 4) 472581109 n (n - 4) - -------------------- + --------------------- - ---------------------- n 13 n 13 n 13 24 n (n - 4) 72 n (n - 4) 72 n (n - 4) 6 n 5 n 8 n 272615694 n (n - 4) 270841296 n (n - 4) 742058746 n (n - 4) - --------------------- + --------------------- - --------------------- n 13 n 13 n 13 n (n - 4) n (n - 4) 9 n (n - 4) 9 n 4 n 7 n 489374743 n (n - 4) 157134240 n (n - 4) 539369792 n (n - 4) + --------------------- - --------------------- + --------------------- n 13 n 13 n 13 18 n (n - 4) n (n - 4) 3 n (n - 4) 3 n 13 n 12 n 39916800 n (n - 4) 7 n (n - 3) 329 n (n - 3) + -------------------- + --------------- - ---------------- n 13 n 10 n 10 n (n - 4) 72 n (n - 3) 72 n (n - 3) 11 n 10 n 9 n 280 n (n - 3) 13055 n (n - 3) 191737 n (n - 3) + ---------------- - ------------------ + ------------------ n 10 n 10 n 10 3 n (n - 3) 12 n (n - 3) 24 n (n - 3) 8 n 7 n 6 n 923699 n (n - 3) 4418155 n (n - 3) 4585105 n (n - 3) - ------------------ + ------------------- - ------------------- n 10 n 10 n 10 24 n (n - 3) 36 n (n - 3) 18 n (n - 3) 5 n 4 n 3 n 327831 n (n - 3) 234892 n (n - 3) 70560 n (n - 3) + ------------------ - ------------------ + ----------------- n 10 n 10 n 10 n (n - 3) n (n - 3) n (n - 3) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n + --------------- - --------------- + -------------- 7 n 7 n 7 n 3 (n - 2) n (n - 2) n (n - 2) n 15 n 5 28 n 5 27 n 5 3456 n ((n - 1) ) n ((n - 1) ) 37 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 23 n 5 23 n 5 23 n 5 (n - 1) (n ) 144 (n - 1) (n ) 144 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 157 n ((n - 1) ) 1079 n ((n - 1) ) 5025 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 23 n 5 23 n 5 23 n 5 36 (n - 1) (n ) 24 (n - 1) (n ) 16 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 75355 n ((n - 1) ) 415945 n ((n - 1) ) 142610 n ((n - 1) ) - --------------------- + ---------------------- - ---------------------- 23 n 5 23 n 5 23 n 5 48 (n - 1) (n ) 72 (n - 1) (n ) 9 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 291560 n ((n - 1) ) 146275 n ((n - 1) ) 52514 n ((n - 1) ) + ---------------------- - ---------------------- + --------------------- 23 n 5 23 n 5 23 n 5 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 18 n 6 38328 n ((n - 1) ) 16992 n ((n - 1) ) 11520 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 23 n 5 23 n 5 28 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 25 n 2 n 24 n 2 n n ((n - 1) ) (n - 3) 65 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n 1939 n ((n - 1) ) (n - 3) 26213969 n ((n - 1) ) (n - 3) + ----------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 134017783 n ((n - 1) ) (n - 3) 264129073 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 100660267 n ((n - 1) ) (n - 3) 236542400 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 423798223 n ((n - 1) ) (n - 3) 189089270 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 20298232 n ((n - 1) ) (n - 3) 13337056 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 6 n 5 n 200703041 n (n - 4) 219724484 n (n - 4) 75256993 n (n - 4) + ---------------------- + --------------------- - -------------------- n 12 n 12 n 12 144 n (n - 4) 3 n (n - 4) n (n - 4) 8 n 9 n 4 n 181682347 n (n - 4) 899631271 n (n - 4) 44860620 n (n - 4) + --------------------- - --------------------- + -------------------- n 12 n 12 n 12 9 n (n - 4) 144 n (n - 4) n (n - 4) 15 n 16 n 14 n 497 n (n - 4) 7 n (n - 4) 15827 n (n - 4) - ---------------- + ---------------- + ------------------ n 12 n 12 n 12 144 n (n - 4) 144 n (n - 4) 144 n (n - 4) 12 n 11 n 13 n 414029 n (n - 4) 10781617 n (n - 4) 298837 n (n - 4) + ------------------- - --------------------- - ------------------- n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 144 n (n - 4) 7 n 3 n 417017447 n (n - 4) 11642400 n (n - 4) - --------------------- - -------------------- n 12 n 12 9 n (n - 4) n (n - 4) 10 n 2 n 9 n 2 n 5318016 n ((n - 1) ) (n - 3) 967680 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 81588713 n ((n - 1) ) (n - 3) 29348064 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 8 n 3 11 8 n 3 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 21267948 n ((n - 1) ) (n - 3) 9245520 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 8 n 3 11 8 n 3 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n n 1814400 n ((n - 1) ) (n - 3) 589 n (n - 1) (n - 4) - ------------------------------- - --------------------------- 8 n 3 11 4 n 2 13 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 4) 19 n n 18 n n 42943 n (n - 1) (n - 4) 176551 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 13 4 n 2 13 36 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 17 n n 16 n n 2775097 n (n - 1) (n - 4) 72715357 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 4 n 2 13 4 n 2 13 12 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 15 n n 14 n n 479616709 n (n - 1) (n - 4) 1608375197 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 4 n 2 13 4 n 2 13 36 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 9 n n 9279725741 n (n - 1) (n - 4) 3147034884 n (n - 1) (n - 4) + -------------------------------- + ------------------------------- 4 n 2 13 4 n 2 13 36 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 11 n n 2450635776 n (n - 1) (n - 4) 1666271178 n (n - 1) (n - 4) - ------------------------------- + -------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 7 n n 6796527335 n (n - 1) (n - 4) 1142389440 n (n - 1) (n - 4) - -------------------------------- + ------------------------------- 4 n 2 13 4 n 2 13 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 6 n n 2712659350 n (n - 1) (n - 4) 239500800 n (n - 1) (n - 4) - -------------------------------- - ------------------------------ 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n n 20 n 2 n n (n - 1) (n - 4) n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 4 n 2 13 9 n 3 7 72 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 35 n ((n - 1) ) (n - 2) 91 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 3 7 9 n 3 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 835 n ((n - 1) ) (n - 2) 3337 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 3 7 9 n 3 7 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 13715 n ((n - 1) ) (n - 2) 177334 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 9 n 3 7 9 n 3 7 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 355880 n ((n - 1) ) (n - 2) 162736 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 9 n 3 7 9 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 48360 n ((n - 1) ) (n - 2) 25152 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 15 n 2 n 5760 n ((n - 1) ) (n - 2) 158756566 n ((n - 1) ) (n - 3) - ---------------------------- - ---------------------------------- 9 n 3 7 9 n 3 10 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 311143336 n ((n - 1) ) (n - 3) 150206516 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 9 n 3 10 9 n 3 10 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 51843672 n ((n - 1) ) (n - 3) 36204096 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 15228288 n ((n - 1) ) (n - 3) 2903040 n ((n - 1) ) (n - 3) + --------------------------------- - ------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 12 n 3 11 n 3 677 n ((n - 1) ) 889 n ((n - 1) ) 231 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 13 n 3 13 n 3 13 n 3 24 (n - 1) (n ) 12 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 12 n 11 n 10 n 99 n ((n - 1) ) n (n - 3) 19 n (n - 3) 103 n (n - 3) + ------------------ + -------------- - --------------- + ---------------- 13 n 3 n 9 n 9 n 9 (n - 1) (n ) 24 n (n - 3) 12 n (n - 3) 4 n (n - 3) 9 n 8 n 7 n 469 n (n - 3) 10507 n (n - 3) 18697 n (n - 3) - --------------- + ----------------- - ----------------- n 9 n 9 n 9 2 n (n - 3) 8 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 63173 n (n - 3) 43229 n (n - 3) 10812 n (n - 3) + ----------------- - ----------------- + ----------------- n 9 n 9 n 9 6 n (n - 3) 3 n (n - 3) n (n - 3) 3 n 22 n n 3360 n (n - 3) n (n - 1) (n - 4) - ---------------- - --------------------------- n 9 5 n 2 12 n (n - 3) 72 (n - 1) (n ) (n - 4) 21 n n 20 n n 10 n (n - 1) (n - 4) 1463 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 16 n n 15 n n 8407 n (n - 1) (n - 3) 1582 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 10 4 n 2 10 72 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 111909 n (n - 1) (n - 3) 509761 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 12 n n 11 n n 26143061 n (n - 1) (n - 3) 9893569 n (n - 1) (n - 3) - ------------------------------ + ----------------------------- 4 n 2 10 4 n 2 10 72 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 21040474 n (n - 1) (n - 3) 10207246 n (n - 1) (n - 3) - ------------------------------ + ----------------------------- 4 n 2 10 4 n 2 10 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 3212006 n (n - 1) (n - 3) 1762152 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 16 n 2 n 423360 n (n - 1) (n - 3) 93331 n ((n - 1) ) (n - 2) - --------------------------- + ------------------------------ 4 n 2 10 8 n 3 8 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 202615 n ((n - 1) ) (n - 2) 3668231 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 8 n 3 8 8 n 3 8 24 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 480508 n ((n - 1) ) (n - 2) 228305 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 8 n 3 8 8 n 3 8 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 70161 n ((n - 1) ) (n - 2) 37569 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 20 n 2 n 8820 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 8 n 3 8 8 n 3 8 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 133 n ((n - 1) ) (n - 2) 497 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 8 n 3 8 8 n 3 8 72 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 17 n 2 n 18 n n 3661 n ((n - 1) ) (n - 2) 7 n (n - 1) (n - 3) - ----------------------------- - --------------------------- 8 n 3 8 4 n 2 10 12 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 3) 17 n n 13 n n 91 n (n - 1) (n - 3) 4360130225 n (n - 1) (n - 4) + --------------------------- + -------------------------------- 4 n 2 10 5 n 2 12 18 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 4) 9 n n 8 n n 1179961620 n (n - 1) (n - 4) 879235872 n (n - 1) (n - 4) + ------------------------------- - ------------------------------ 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 6232201130 n (n - 1) (n - 4) 2995862401 n (n - 1) (n - 4) + -------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 7 n n 18 n n 394102080 n (n - 1) (n - 4) 122129 n (n - 1) (n - 4) + ------------------------------ - ---------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 19 n n 17 n n 32455 n (n - 1) (n - 4) 5287915 n (n - 1) (n - 4) + --------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 36 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 15 n n 14 n n 259739645 n (n - 1) (n - 4) 2428307783 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 36 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 16 n n 10 n n 42561541 n (n - 1) (n - 4) 3204427666 n (n - 1) (n - 4) - ------------------------------ - -------------------------------- 5 n 2 12 5 n 2 12 36 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 6 n n 15 n n 79833600 n (n - 1) (n - 4) n (n - 1) (n - 2) - ----------------------------- - -------------------------- 5 n 2 12 5 n 2 7 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n n 11 n n 160 n (n - 1) (n - 2) 1477 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 2205 n (n - 1) (n - 2) 38230 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 15220 n (n - 1) (n - 2) 3392 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 18 n 2 n 960 n (n - 1) (n - 2) 10101053 n ((n - 1) ) (n - 3) + ------------------------ + --------------------------------- 5 n 2 7 10 n 3 9 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 21554153 n ((n - 1) ) (n - 3) 8767712 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 72 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 21750859 n ((n - 1) ) (n - 3) 40784669 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 56736202 n ((n - 1) ) (n - 3) 18880664 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 4252704 n ((n - 1) ) (n - 3) 1736832 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 21 n n 322560 n ((n - 1) ) (n - 3) 11 n (n - 1) (n - 4) - ------------------------------ + -------------------------- 10 n 3 9 4 n 2 13 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 4) 22 n 4 21 n 4 20 n 4 n ((n - 1) ) 7 n ((n - 1) ) 175 n ((n - 1) ) - ------------------ + ----------------- - ------------------- 18 n 4 18 n 4 18 n 4 36 (n - 1) (n ) 9 (n - 1) (n ) 18 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 643 n ((n - 1) ) 12305 n ((n - 1) ) 10012 n ((n - 1) ) + ------------------- - --------------------- + --------------------- 18 n 4 18 n 4 18 n 4 9 (n - 1) (n ) 36 (n - 1) (n ) 9 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 22450 n ((n - 1) ) 11416 n ((n - 1) ) 3780 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 18 n 4 18 n 4 18 n 4 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 13 n 4 20 n n 2208 n ((n - 1) ) 50011 n (n - 1) (n - 4) + -------------------- + ---------------------------- 18 n 4 5 n 2 13 (n - 1) (n ) 324 (n - 1) (n ) (n - 4) 19 n n 18 n n 219494 n (n - 1) (n - 4) 11150107 n (n - 1) (n - 4) - ---------------------------- + ------------------------------ 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 17 n n 16 n n 106016521 n (n - 1) (n - 4) 770478137 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 15 n n 14 n n 8662059263 n (n - 1) (n - 4) 18929976923 n (n - 1) (n - 4) - -------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 648 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 13 n n 9 n n 16076253076 n (n - 1) (n - 4) 5012925104 n (n - 1) (n - 4) - --------------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 1216103616 n (n - 1) (n - 4) 9377744062 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n n 7 n n 42182549942 n (n - 1) (n - 4) 534339840 n (n - 1) (n - 4) + --------------------------------- - ------------------------------ 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 6 n n 13997672284 n (n - 1) (n - 4) 106444800 n (n - 1) (n - 4) + --------------------------------- + ------------------------------ 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n n 22 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 13 5 n 2 13 648 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 21 n n 19 n 20 n 1943 n (n - 1) (n - 4) 19 n (n - 5) n (n - 5) - ---------------------------- - --------------- + ---------------- 5 n 2 13 n 15 n 15 324 (n - 1) (n ) (n - 4) 24 n (n - 5) 144 n (n - 5) 18 n 17 n 16 n 83 n (n - 5) 5309 n (n - 5) 695387 n (n - 5) + --------------- - ----------------- + ------------------- n 15 n 15 n 15 2 n (n - 5) 4 n (n - 5) 24 n (n - 5) 15 n 14 n 13 n 915369 n (n - 5) 48697207 n (n - 5) 586105949 n (n - 5) - ------------------- + --------------------- - ---------------------- n 15 n 15 n 15 2 n (n - 5) 9 n (n - 5) 12 n (n - 5) 12 n 11 n 5446289277 n (n - 5) 14717052779 n (n - 5) + ----------------------- - ------------------------ n 15 n 15 16 n (n - 5) 8 n (n - 5) 10 n 6 n 23097691526 n (n - 5) 140959639656 n (n - 5) + ------------------------ + ------------------------ n 15 n 15 3 n (n - 5) n (n - 5) 5 n 8 n 121989406944 n (n - 5) 543983918209 n (n - 5) - ------------------------ + ------------------------ n 15 n 15 n (n - 5) 9 n (n - 5) 9 n 4 n 24774687483 n (n - 5) 62984799360 n (n - 5) - ----------------------- + ----------------------- n 15 n 15 n (n - 5) n (n - 5) 7 n 3 n 327748252802 n (n - 5) 14529715200 n (n - 5) - ------------------------ - ----------------------- n 15 n 15 3 n (n - 5) n (n - 5) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 14 n n 13 n n 11017 n (n - 1) (n - 3) 185677 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 4 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 12 n n 11 n n 554237 n (n - 1) (n - 3) 1573324 n (n - 1) (n - 3) - ---------------------------- + ----------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 3158584 n (n - 1) (n - 3) 4368068 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 8 n n 7 n n 1314368 n (n - 1) (n - 3) 231232 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 53760 n (n - 1) (n - 3) - -------------------------- 5 n 2 9 (n - 1) (n ) (n - 3) and in Maple notation 1/5184*n^32*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-278545/4*n^23*((n-1)^n )^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+8381371/54*n^22*((n-1)^n)^4/(n-1)^20/(n^n) ^5*(n-2)^n/(n-2)^6-9811289/36*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6 -17/1728*n^31*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+15/64*n^30*((n-1)^n) ^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-665/192*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*( n-2)^n/(n-2)^6+61435/1728*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-\ 154921/576*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+8048029/5184*n^26* ((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-12065075/1728*n^25*((n-1)^n)^4/(n-\ 1)^20/(n^n)^5*(n-2)^n/(n-2)^6+792425/32*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2) ^n/(n-2)^6-467968/3*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+50816*n^ 16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-10446410/27*n^19*((n-1)^n)^4/(n -1)^20/(n^n)^5*(n-2)^n/(n-2)^6+2658640/9*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2 )^n/(n-2)^6-7680*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+60299225/162 *n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-53/648*n^31*((n-1)^n)^4/(n-1 )^19/(n^n)^5*(n-2)^n/(n-2)^7+1/648*n^32*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n -2)^7+1309/648*n^30*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-20009/648*n^29 *((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+211999/648*n^28*((n-1)^n)^4/(n-1) ^19/(n^n)^5*(n-2)^n/(n-2)^7-1652123/648*n^27*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2) ^n/(n-2)^7+9805271/648*n^26*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-\ 45262315/648*n^25*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+41123735/162*n^ 24*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-118312915/162*n^23*((n-1)^n)^4/ (n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+134696362/81*n^22*((n-1)^n)^4/(n-1)^19/(n^n)^5 *(n-2)^n/(n-2)^7+3401088*n^18*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-\ 1822976*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+111903416/27*n^20*((n -1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-241276466/81*n^21*((n-1)^n)^4/(n-1)^ 19/(n^n)^5*(n-2)^n/(n-2)^7+602112*n^16*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-\ 2)^7-39450472/9*n^19*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-92160*n^15*(( n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-655/432*n^28*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-3)^n/(n-3)^9+12239/432*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3) ^9-158429/432*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+1508917/432*n^ 25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-32878807/1296*n^24*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+186223847/1296*n^23*((n-1)^n)^3/(n-1)^15/(n^n) ^4*(n-3)^n/(n-3)^9-69487775/108*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3) ^9-1/1296*n^30*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+65/1296*n^29*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+247817125/108*n^21*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-3)^n/(n-3)^9-176388457/27*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/ (n-3)^9+399915215/27*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-\ 2149689820/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+3002025572/81*n ^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-39437792*n^16*((n-1)^n)^3/(n-1 )^15/(n^n)^4*(n-3)^n/(n-3)^9+277569664/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3 )^n/(n-3)^9-50041856/3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+ 5563392*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-860160*n^12*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+405524909/216*n^22*((n-1)^n)^4/(n-1)^18/(n^ n)^5*(n-2)^n/(n-2)^8-186550591/54*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-\ 2)^8+88706797/18*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8-16001746/3*n ^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8+4227930*n^18*((n-1)^n)^4/(n-1) ^18/(n^n)^5*(n-2)^n/(n-2)^8-2311224*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/( n-2)^8+777312*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8-120960*n^15*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8+1/864*n^32*((n-1)^n)^4/(n-1)^18/(n^n) ^5*(n-2)^n/(n-2)^8-7/108*n^31*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8+91/ 54*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8-5837/216*n^29*((n-1)^n)^4/ (n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8+129335/432*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*( n-2)^n/(n-2)^8-525359/216*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8+ 3241097/216*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8-15510415/216*n^25 *((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^8+233164505/864*n^24*((n-1)^n)^4/(n -1)^18/(n^n)^5*(n-2)^n/(n-2)^8-173014555/216*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5* (n-2)^n/(n-2)^8+3153263/216*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-\ 8065577/72*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+144279631/216*n^ 23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1/432*n^30*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-3)^n/(n-3)^10+35/216*n^29*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n -3)^10-1135/216*n^28*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+22661/216*n^ 27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-156113/108*n^26*((n-1)^n)^3/(n -1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1355630875/432*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^ 4*(n-3)^n/(n-3)^10+1263990425/108*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-\ 3)^10-3751762159/108*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+ 2210471825/27*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-4105513325/27* n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+658575628/3*n^17*((n-1)^n)^3 /(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-722663188/3*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^ 4*(n-3)^n/(n-3)^10+193792688*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10 -107580096*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+36746496*n^13*((n 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16155412094/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-159667200*n^9* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-89/864*n^27*((n-1)^n)^2/(n-1)^10/ (n^n)^3*(n-4)^n/(n-4)^12+17/4*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^ 12-2593/24*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+273203/144*n^24*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-3521167/144*n^23*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-4)^n/(n-4)^12+1/864*n^28*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n -4)^12-1/1296*n^30*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^11+19/324*n^29*(( n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^11-1333/648*n^28*((n-1)^n)^3/(n-1)^13/ (n^n)^4*(n-3)^n/(n-3)^11+28679/648*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n -3)^11-53015/81*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^11+4579043/648* n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^11-4157021/72*n^24*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-3)^n/(n-3)^11+236594185/648*n^23*((n-1)^n)^3/(n-1)^13/(n^n) 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n)^3*(n-4)^n/(n-4)^13-341865346/81*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-\ 4)^13+17639038885/648*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-\ 90415987805/648*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+46235268677/ 81*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-301917561413/162*n^17*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+391769964724/81*n^16*((n-1)^n)^2/(n-1) ^9/(n^n)^3*(n-4)^n/(n-4)^13+16640708128*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^ n/(n-4)^13-10074765696*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+ 141293601104/9*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-267024277666/ 27*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+3738263040*n^10*((n-1)^n)^ 2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-18902760312*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3 *(n-4)^n/(n-4)^13-638668800*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+ 544/81*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-30001/162*n^25*((n-1)^ n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+1139689/324*n^24*((n-1)^n)^2/(n-1)^9/(n^n )^3*(n-4)^n/(n-4)^13-1008425/216*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+ 3443/18*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+6031673/72*n^21*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-371345443/324*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5 )^n/(n-5)^15+1321614641/108*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-\ 134155841729/1296*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+33615598705/48* n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-205670081149/54*n^16*(n-1)^n/(n-1 )^5/(n^n)^2*(n-5)^n/(n-5)^15+600270470033/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5) ^n/(n-5)^15-4749713968393/81*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+ 4446470227727/27*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+2378716280576/3* n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-521790887424*n^8*(n-1)^n/(n-1)^5/( n^n)^2*(n-5)^n/(n-5)^15+5681734803356/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^15-29612753952320/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+ 209934197760*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-7447826115328/9*n^10* (n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-38745907200*n^6*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-5)^n/(n-5)^15+41/432*n^25*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-1757/ 324*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-1/1296*n^26*(n-1)^n/(n-1)^5/( n^n)^2*(n-5)^n/(n-5)^15+1608067/2592*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^14-12111871/1296*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14+ 92020211/864*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14-608668177/648*n^ 21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14+33715653205/5184*n^20*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14-92430440245/2592*n^19*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-4)^n/(n-4)^14+805846468921/5184*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4 )^n/(n-4)^14-349094039047/648*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14 +1915715915441/1296*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14+ 6114810719*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14-3841253544*n^11*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14+190832614711/36*n^14*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-4)^n/(n-4)^14-85943772647/27*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^14+1473762960*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14-\ 6670565826*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14-259459200*n^9*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14+1/5184*n^28*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-4)^n/(n-4)^14-53/2592*n^27*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14+ 5189/5184*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14-9739/324*n^25*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^14-1/2592*n^26*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 5)^n/(n-5)^16+67/1296*n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-2779/864*n^ 24*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1414853/432*n^22*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^16+1111/9*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+ 13780991/216*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1226222957/1296*n^20 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+3541289827/324*n^19*(n-1)^n/(n-1)^4/( n^n)^2*(n-5)^n/(n-5)^16-86241734215/864*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^16+104725443355/144*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-\ 3670055833847/864*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+2150429005361/ 108*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-48425073199363/648*n^14*(n-1) ^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+36160047009713/162*n^13*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^16+1324540846328*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 16-909522759840*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+8615112103904/9*n^ 11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-28354575387061/54*n^12*(n-1)^n/(n-1 )^4/(n^n)^2*(n-5)^n/(n-5)^16+380307715200*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/( n-5)^16-3958825222406/3*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-\ 72648576000*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1/648*n^27*((n-1)^n)^3 /(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+2/27*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^ n/(n-2)^7-1063/648*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+2401/108*n ^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-133591/648*n^23*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-2)^n/(n-2)^7+24937/18*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2) ^n/(n-2)^7-4515065/648*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+ 2883433/108*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-6362695/81*n^19*( (n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-3257984/9*n^15*((n-1)^n)^3/(n-1)^15 /(n^n)^4*(n-2)^n/(n-2)^7+684928/3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-\ 2)^7-24682522/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+4789178/27*n ^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-87552*n^13*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^7+3517628/9*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/ (n-2)^7+15360*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-35237/432*n^22* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+436633/432*n^21*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^10-3911939/432*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3 )^n/(n-3)^10-1/12*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/6*n^13*(n-1)^ n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-143/6*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n -2)^7+434/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/12*n^10*(n-1)^n/( n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+7147/6*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2) ^7-1607*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1182*n^7*(n-1)^n/(n-1)^4/(n ^n)^2*(n-2)^n/(n-2)^7-360*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+11289997/ 72*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-14621597/36*n^18*((n-1)^n) ^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+7083211/9*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-2)^n/(n-2)^8-1122576*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+ 1142162*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-782868*n^14*((n-1)^n) ^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+323136*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n -2)^n/(n-2)^8-60480*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-1/72*n^26 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+47/72*n^25*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-2)^n/(n-2)^8-1007/72*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^ 8+13039/72*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8-38003/24*n^22*((n-\ 1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^8+237391/24*n^21*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-2)^n/(n-2)^8-3277661/72*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2 )^8+565/12*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-28457/36*n^21*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+322805/36*n^20*((n-1)^n)^2/(n-1)^9/(n^ n)^3*(n-3)^n/(n-3)^10+1/36*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-61 /36*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-291191/4*n^19*((n-1)^n)^2 /(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+15731093/36*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-3)^n/(n-3)^10-71093411/36*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+ 13549139/2*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+768*n^15*((n-1)^n) ^5/(n-1)^24/(n^n)^5-2366681/72*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^ 7+3916937/36*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+697844*n^15*((n-\ 1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-466608*n^14*((n-1)^n)^3/(n-1)^14/(n^n) ^4*(n-2)^n/(n-2)^7+4584502/9*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-\ 2445758/9*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+188352*n^13*((n-1)^ n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-704946*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4* (n-2)^n/(n-2)^7-34560*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-1/72*n^ 26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+11/18*n^25*((n-1)^n)^3/(n-1)^14 /(n^n)^4*(n-2)^n/(n-2)^7-887/72*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2) ^7+5429/36*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-30053/24*n^22*((n-\ 1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+22379/3*n^21*((n-1)^n)^3/(n-1)^14/(n^n )^4*(n-2)^n/(n-2)^7+1/144*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-7/ 18*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1435/144*n^22*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-11161/72*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 3)^n/(n-3)^9+235735/144*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-\ 447581/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-167/5184/(n^n)*n^23 *(n-6)^n/(n-6)^18+1/5184/(n^n)*n^24*(n-6)^n/(n-6)^18+5054194265/2592/(n^n)*n^18 *(n-6)^n/(n-6)^18-75809637565/2592/(n^n)*n^17*(n-6)^n/(n-6)^18+1813155240761/ 5184/(n^n)*n^16*(n-6)^n/(n-6)^18-17456799504547/5184/(n^n)*n^15*(n-6)^n/(n-6)^ 18+15119065406965/576/(n^n)*n^14*(n-6)^n/(n-6)^18-286844844624715/1728/(n^n)*n^ 13*(n-6)^n/(n-6)^18+2205455697921833/2592/(n^n)*n^12*(n-6)^n/(n-6)^18-\ 285139607911208/81/(n^n)*n^11*(n-6)^n/(n-6)^18+1889787999415795/162/(n^n)*n^10* (n-6)^n/(n-6)^18+325443214400440/3/(n^n)*n^6*(n-6)^n/(n-6)^18-83381666994400/(n ^n)*n^5*(n-6)^n/(n-6)^18+3369321203125991/54/(n^n)*n^8*(n-6)^n/(n-6)^18-\ 9912728458996285/324/(n^n)*n^9*(n-6)^n/(n-6)^18+38885905632000/(n^n)*n^4*(n-6)^ n/(n-6)^18-867644930951182/9/(n^n)*n^7*(n-6)^n/(n-6)^18-8233505280000/(n^n)*n^3 *(n-6)^n/(n-6)^18+1/24*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^3-19/24*n^15*((n-1)^n)^3 /(n-1)^13/(n^n)^3+51/8*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^3-5/5184*n^34*((n-1)^n)^ 6/(n-1)^28/(n^n)^6+115/2592*n^33*((n-1)^n)^6/(n-1)^28/(n^n)^6-1645/1728*n^32*(( n-1)^n)^6/(n-1)^28/(n^n)^6+8195/648*n^31*((n-1)^n)^6/(n-1)^28/(n^n)^6-603535/ 5184*n^30*((n-1)^n)^6/(n-1)^28/(n^n)^6+680405/864*n^29*((n-1)^n)^6/(n-1)^28/(n^ n)^6-20988505/5184*n^28*((n-1)^n)^6/(n-1)^28/(n^n)^6+20914825/1296*n^27*((n-1)^ n)^6/(n-1)^28/(n^n)^6-21773125/432*n^26*((n-1)^n)^6/(n-1)^28/(n^n)^6+10023200/ 81*n^25*((n-1)^n)^6/(n-1)^28/(n^n)^6-77126255/324*n^24*((n-1)^n)^6/(n-1)^28/(n^ n)^6+3195205/9*n^23*((n-1)^n)^6/(n-1)^28/(n^n)^6-1207295/3*n^22*((n-1)^n)^6/(n-\ 1)^28/(n^n)^6+1005520/3*n^21*((n-1)^n)^6/(n-1)^28/(n^n)^6-193440*n^20*((n-1)^n) ^6/(n-1)^28/(n^n)^6+69120*n^19*((n-1)^n)^6/(n-1)^28/(n^n)^6-630565/5184/(n^n)*n ^21*(n-6)^n/(n-6)^18+13025/5184/(n^n)*n^22*(n-6)^n/(n-6)^18-88187857/864/(n^n)* n^19*(n-6)^n/(n-6)^18+1770203/432/(n^n)*n^20*(n-6)^n/(n-6)^18+14/9*n^18*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-1409/36*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/ (n-3)^10+5269/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-23219/4*n^15*(n-1 )^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+120784/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3 )^n/(n-3)^10-7230227/36*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+6561457/9 *n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-17318500/9*n^11*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^10+32795324/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 10-14418572/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+4174336*n^8*(n-1)^n/ (n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-2134848*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^10+483840*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+1/144*n^24*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-67/144*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^11+679/48*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-37259/ 144*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11+458339/144*n^20*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-446157/16*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-3)^n/(n-3)^11+25876631/144*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11 -124897817/144*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11+3161301*n^16*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-313240477/36*n^15*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^11+161436772/9*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^ n/(n-3)^11+1/2592*n^29*((n-1)^n)^5/(n-1)^24/(n^n)^5-41/2592*n^28*((n-1)^n)^5/(n -1)^24/(n^n)^5+97/324*n^27*((n-1)^n)^5/(n-1)^24/(n^n)^5-4493/1296*n^26*((n-1)^n )^5/(n-1)^24/(n^n)^5+23707/864*n^25*((n-1)^n)^5/(n-1)^24/(n^n)^5-135655/864*n^ 24*((n-1)^n)^5/(n-1)^24/(n^n)^5+868075/1296*n^23*((n-1)^n)^5/(n-1)^24/(n^n)^5-\ 701165/324*n^22*((n-1)^n)^5/(n-1)^24/(n^n)^5+431000/81*n^21*((n-1)^n)^5/(n-1)^ 24/(n^n)^5-1605065/162*n^20*((n-1)^n)^5/(n-1)^24/(n^n)^5+371321/27*n^19*((n-1)^ n)^5/(n-1)^24/(n^n)^5-124192/9*n^18*((n-1)^n)^5/(n-1)^24/(n^n)^5+28384/3*n^17*( (n-1)^n)^5/(n-1)^24/(n^n)^5-3968*n^16*((n-1)^n)^5/(n-1)^24/(n^n)^5+1/2592/(n^n) *n^21*(n-5)^n/(n-5)^16+427/144/(n^n)*n^19*(n-5)^n/(n-5)^16-43/864/(n^n)*n^20*(n -5)^n/(n-5)^16-7799/72/(n^n)*n^18*(n-5)^n/(n-5)^16+1173197/432/(n^n)*n^17*(n-5) ^n/(n-5)^16-7138411/144/(n^n)*n^16*(n-5)^n/(n-5)^16+220969229/324/(n^n)*n^15*(n -5)^n/(n-5)^16-1560050089/216/(n^n)*n^14*(n-5)^n/(n-5)^16+17168408257/288/(n^n) *n^13*(n-5)^n/(n-5)^16-111128444713/288/(n^n)*n^12*(n-5)^n/(n-5)^16+ 847048907263/432/(n^n)*n^11*(n-5)^n/(n-5)^16-140263145113/18/(n^n)*n^10*(n-5)^n /(n-5)^16-372730666964/3/(n^n)*n^6*(n-5)^n/(n-5)^16+105156994640/(n^n)*n^5*(n-5 )^n/(n-5)^16-3047667843847/54/(n^n)*n^8*(n-5)^n/(n-5)^16+1944283364207/81/(n^n) *n^9*(n-5)^n/(n-5)^16-53294539200/(n^n)*n^4*(n-5)^n/(n-5)^16+889850451833/9/(n^ n)*n^7*(n-5)^n/(n-5)^16+12108096000/(n^n)*n^3*(n-5)^n/(n-5)^16+1/72*n^21*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-13/24*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-2)^n/(n-2)^7+343/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1199/ 12*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+16691/24*n^17*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-27063/8*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2 )^n/(n-2)^7+106051/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-88768/3* n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+477932/9*n^13*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-2)^n/(n-2)^7-199006/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^ n/(n-2)^7+54648*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-26592*n^10*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+5760*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^7-1/36*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+1/72/(n^n) *n^17*(n-4)^n/(n-4)^13-83/72/(n^n)*n^16*(n-4)^n/(n-4)^13+3113/72/(n^n)*n^15*(n-\ 4)^n/(n-4)^13-69823/72/(n^n)*n^14*(n-4)^n/(n-4)^13+348205/24/(n^n)*n^13*(n-4)^n /(n-4)^13-3669523/24/(n^n)*n^12*(n-4)^n/(n-4)^13+84120179/72/(n^n)*n^11*(n-4)^n /(n-4)^13-472581109/72/(n^n)*n^10*(n-4)^n/(n-4)^13-272615694/(n^n)*n^6*(n-4)^n/ (n-4)^13+270841296/(n^n)*n^5*(n-4)^n/(n-4)^13-742058746/9/(n^n)*n^8*(n-4)^n/(n-\ 4)^13+489374743/18/(n^n)*n^9*(n-4)^n/(n-4)^13-157134240/(n^n)*n^4*(n-4)^n/(n-4) ^13+539369792/3/(n^n)*n^7*(n-4)^n/(n-4)^13+39916800/(n^n)*n^3*(n-4)^n/(n-4)^13+ 7/72/(n^n)*n^13*(n-3)^n/(n-3)^10-329/72/(n^n)*n^12*(n-3)^n/(n-3)^10+280/3/(n^n) *n^11*(n-3)^n/(n-3)^10-13055/12/(n^n)*n^10*(n-3)^n/(n-3)^10+191737/24/(n^n)*n^9 *(n-3)^n/(n-3)^10-923699/24/(n^n)*n^8*(n-3)^n/(n-3)^10+4418155/36/(n^n)*n^7*(n-\ 3)^n/(n-3)^10-4585105/18/(n^n)*n^6*(n-3)^n/(n-3)^10+327831/(n^n)*n^5*(n-3)^n/(n -3)^10-234892/(n^n)*n^4*(n-3)^n/(n-3)^10+70560/(n^n)*n^3*(n-3)^n/(n-3)^10+1/12* (n-2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/ (n^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*( n-2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3-3456*n^15*((n-1)^n)^5/(n-\ 1)^23/(n^n)^5+1/144*n^28*((n-1)^n)^5/(n-1)^23/(n^n)^5-37/144*n^27*((n-1)^n)^5/( n-1)^23/(n^n)^5+157/36*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^5-1079/24*n^25*((n-1)^n) ^5/(n-1)^23/(n^n)^5+5025/16*n^24*((n-1)^n)^5/(n-1)^23/(n^n)^5-75355/48*n^23*((n -1)^n)^5/(n-1)^23/(n^n)^5+415945/72*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^5-142610/9* n^21*((n-1)^n)^5/(n-1)^23/(n^n)^5+291560/9*n^20*((n-1)^n)^5/(n-1)^23/(n^n)^5-\ 146275/3*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^5+52514*n^18*((n-1)^n)^5/(n-1)^23/(n^n )^5-38328*n^17*((n-1)^n)^5/(n-1)^23/(n^n)^5+16992*n^16*((n-1)^n)^5/(n-1)^23/(n^ n)^5-11520*n^18*((n-1)^n)^6/(n-1)^28/(n^n)^6+1/432*n^25*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^10-65/432*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^ 10+1939/432*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+26213969/432*n^ 19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-134017783/432*n^18*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+264129073/216*n^17*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-3)^n/(n-3)^10-100660267/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-\ 3)^10+236542400/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-423798223 /27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+189089270/9*n^13*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-20298232*n^12*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-3)^n/(n-3)^10+13337056*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10 +200703041/144/(n^n)*n^10*(n-4)^n/(n-4)^12+219724484/3/(n^n)*n^6*(n-4)^n/(n-4)^ 12-75256993/(n^n)*n^5*(n-4)^n/(n-4)^12+181682347/9/(n^n)*n^8*(n-4)^n/(n-4)^12-\ 899631271/144/(n^n)*n^9*(n-4)^n/(n-4)^12+44860620/(n^n)*n^4*(n-4)^n/(n-4)^12-\ 497/144/(n^n)*n^15*(n-4)^n/(n-4)^12+7/144/(n^n)*n^16*(n-4)^n/(n-4)^12+15827/144 /(n^n)*n^14*(n-4)^n/(n-4)^12+414029/16/(n^n)*n^12*(n-4)^n/(n-4)^12-10781617/48/ (n^n)*n^11*(n-4)^n/(n-4)^12-298837/144/(n^n)*n^13*(n-4)^n/(n-4)^12-417017447/9/ (n^n)*n^7*(n-4)^n/(n-4)^12-11642400/(n^n)*n^3*(n-4)^n/(n-4)^12-5318016*n^10*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+967680*n^9*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-3)^n/(n-3)^10-81588713/3*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^ 11+29348064*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-21267948*n^11*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11+9245520*n^10*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-3)^n/(n-3)^11-1814400*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^11-\ 589/12*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+42943/36*n^19*(n-1)^n/(n-1 )^4/(n^n)^2*(n-4)^n/(n-4)^13-176551/9*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^13+2775097/12*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-72715357/36*n^16* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+479616709/36*n^15*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^13-1608375197/24*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 13+9279725741/36*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+3147034884*n^9*( n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-2450635776*n^8*(n-1)^n/(n-1)^4/(n^n)^2* (n-4)^n/(n-4)^13+1666271178*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-\ 6796527335/9*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+1142389440*n^7*(n-1) ^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-2712659350*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^13-239500800*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-1/72*n^22* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+1/18*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-2)^n/(n-2)^7-35/18*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+91/3*n^ 18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-835/3*n^17*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-2)^n/(n-2)^7+3337/2*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-\ 13715/2*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+177334/9*n^14*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-355880/9*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*( n-2)^n/(n-2)^7+162736/3*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-48360* n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+25152*n^10*((n-1)^n)^2/(n-1)^9 /(n^n)^3*(n-2)^n/(n-2)^7-5760*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-\ 158756566/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+311143336/9*n^14* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-150206516/3*n^13*((n-1)^n)^2/(n-1) ^9/(n^n)^3*(n-3)^n/(n-3)^10+51843672*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/( n-3)^10-36204096*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+15228288*n^ 10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-2903040*n^9*((n-1)^n)^2/(n-1)^9 /(n^n)^3*(n-3)^n/(n-3)^10-677/24*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+889/12*n^12* ((n-1)^n)^3/(n-1)^13/(n^n)^3-231/2*n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3+99*n^10*(( n-1)^n)^3/(n-1)^13/(n^n)^3+1/24/(n^n)*n^12*(n-3)^n/(n-3)^9-19/12/(n^n)*n^11*(n-\ 3)^n/(n-3)^9+103/4/(n^n)*n^10*(n-3)^n/(n-3)^9-469/2/(n^n)*n^9*(n-3)^n/(n-3)^9+ 10507/8/(n^n)*n^8*(n-3)^n/(n-3)^9-18697/4/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/6/(n^ n)*n^6*(n-3)^n/(n-3)^9-43229/3/(n^n)*n^5*(n-3)^n/(n-3)^9+10812/(n^n)*n^4*(n-3)^ n/(n-3)^9-3360/(n^n)*n^3*(n-3)^n/(n-3)^9-1/72*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 )^n/(n-4)^12+10/9*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1463/36*n^20*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-8407/72*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 3)^n/(n-3)^10+1582*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-111909/8*n^14* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+509761/6*n^13*(n-1)^n/(n-1)^4/(n^n)^2* (n-3)^n/(n-3)^10-26143061/72*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+ 9893569/9*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-21040474/9*n^10*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+10207246/3*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^10-3212006*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1762152*n^7*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-423360*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^10+93331/48*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-202615/24* n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+3668231/144*n^14*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-480508/9*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^8+228305/3*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-70161*n^11* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+37569*n^10*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-2)^n/(n-2)^8-8820*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8+7/144* n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-133/72*n^19*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-2)^n/(n-2)^8+497/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2) ^8-3661/12*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^8-7/72*n^18*(n-1)^n/( n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+91/18*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3 )^10+4360130225/36*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+1179961620*n^9 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-879235872*n^8*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^12+6232201130/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 2995862401/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+394102080*n^7*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-122129/9*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^ n/(n-4)^12+32455/36*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+5287915/36*n^ 17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+259739645/36*n^15*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^12-2428307783/72*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^12-42561541/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-3204427666/3*n^ 10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-79833600*n^6*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^12-1/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+5/3*n^14*( n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^ n/(n-2)^7+160*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-1477/2*n^11*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+2205*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2) ^7-38230/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+15220/3*n^8*(n-1)^n/(n-1 )^5/(n^n)^2*(n-2)^n/(n-2)^7-3392*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+ 960*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+10101053/144*n^18*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-21554153/72*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-3)^n/(n-3)^9+8767712/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-\ 21750859/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+40784669/9*n^14*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-56736202/9*n^13*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-3)^n/(n-3)^9+18880664/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/( n-3)^9-4252704*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+1736832*n^10*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-322560*n^9*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^9+11/9*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-1/36*n^ 22*((n-1)^n)^4/(n-1)^18/(n^n)^4+7/9*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-175/18*n^ 20*((n-1)^n)^4/(n-1)^18/(n^n)^4+643/9*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^4-12305/ 36*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+10012/9*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^4-\ 22450/9*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+11416/3*n^15*((n-1)^n)^4/(n-1)^18/(n^ n)^4-3780*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+2208*n^13*((n-1)^n)^4/(n-1)^18/(n^n )^4+50011/324*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-219494/81*n^19*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+11150107/324*n^18*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^13-106016521/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+ 770478137/324*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-8662059263/648*n^15 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+18929976923/324*n^14*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^13-16076253076/81*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^13-5012925104/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+1216103616*n^8 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-9377744062/9*n^11*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^13+42182549942/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^13-534339840*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+13997672284/9*n^10*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+106444800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^13-1/648*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+23/162*n^22 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-1943/324*n^21*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^13-19/24/(n^n)*n^19*(n-5)^n/(n-5)^15+1/144/(n^n)*n^20*(n-5)^n/(n -5)^15+83/2/(n^n)*n^18*(n-5)^n/(n-5)^15-5309/4/(n^n)*n^17*(n-5)^n/(n-5)^15+ 695387/24/(n^n)*n^16*(n-5)^n/(n-5)^15-915369/2/(n^n)*n^15*(n-5)^n/(n-5)^15+ 48697207/9/(n^n)*n^14*(n-5)^n/(n-5)^15-586105949/12/(n^n)*n^13*(n-5)^n/(n-5)^15 +5446289277/16/(n^n)*n^12*(n-5)^n/(n-5)^15-14717052779/8/(n^n)*n^11*(n-5)^n/(n-\ 5)^15+23097691526/3/(n^n)*n^10*(n-5)^n/(n-5)^15+140959639656/(n^n)*n^6*(n-5)^n/ (n-5)^15-121989406944/(n^n)*n^5*(n-5)^n/(n-5)^15+543983918209/9/(n^n)*n^8*(n-5) ^n/(n-5)^15-24774687483/(n^n)*n^9*(n-5)^n/(n-5)^15+62984799360/(n^n)*n^4*(n-5)^ n/(n-5)^15-327748252802/3/(n^n)*n^7*(n-5)^n/(n-5)^15-14529715200/(n^n)*n^3*(n-5 )^n/(n-5)^15-1/36*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/36*n^17*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/18*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/ (n-3)^9+6101/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11017/4*n^14*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/12*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^9-554237/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+1573324/9*n^11 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-3158584/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2 *(n-3)^n/(n-3)^9+4368068/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1314368/ 3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+231232*n^7*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-3)^n/(n-3)^9-53760*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 The, 3, 1, mixed moment of, X[3], and , X[4], is 9 n 3 12 n 4 14 n n 108 n ((n - 1) ) 324 n ((n - 1) ) n (n - 1) (n - 2) - ------------------ + ------------------- - ------------------------- 13 n 3 17 n 4 4 n 2 7 (n - 1) (n ) (n - 1) (n ) 8 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n n 10 n n 217 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 4821 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 16 n 3 1773 n (n - 1) (n - 2) 540 n (n - 1) (n - 2) n ((n - 1) ) + ------------------------- - ------------------------ + ----------------- 4 n 2 7 4 n 2 7 13 n 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 (n - 1) (n ) 15 n 3 14 n 3 21 n 4 19 n ((n - 1) ) 153 n ((n - 1) ) n ((n - 1) ) - ------------------ + ------------------- - ------------------ 13 n 3 13 n 3 17 n 4 8 (n - 1) (n ) 8 (n - 1) (n ) 16 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 3 n ((n - 1) ) 127 n ((n - 1) ) 389 n ((n - 1) ) + ----------------- - ------------------- + ------------------- 17 n 4 17 n 4 17 n 4 2 (n - 1) (n ) 8 (n - 1) (n ) 4 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 6081 n ((n - 1) ) 3931 n ((n - 1) ) 3363 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 17 n 4 17 n 4 17 n 4 16 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 14 n 4 13 n 4 14 n 1836 n ((n - 1) ) 1161 n ((n - 1) ) 5 n (n - 4) + -------------------- - -------------------- - -------------- 17 n 4 17 n 4 n 11 (n - 1) (n ) (n - 1) (n ) 4 n (n - 4) 13 n 12 n 11 n 1601 n (n - 4) 1045 n (n - 4) 85481 n (n - 4) + ----------------- - ----------------- + ------------------ n 11 n 11 n 11 48 n (n - 4) 2 n (n - 4) 16 n (n - 4) 10 n 9 n 8 n 149985 n (n - 4) 8873843 n (n - 4) 643885 n (n - 4) - ------------------- + ------------------- - ------------------ n 11 n 11 n 11 4 n (n - 4) 48 n (n - 4) n (n - 4) 7 n 6 n 5 n 4706416 n (n - 4) 2601115 n (n - 4) 2776947 n (n - 4) + ------------------- - ------------------- + ------------------- n 11 n 11 n 11 3 n (n - 4) n (n - 4) n (n - 4) 4 n 15 n 3 n 1706580 n (n - 4) n (n - 4) 453600 n (n - 4) - ------------------- + --------------- + ------------------ n 11 n 11 n 11 n (n - 4) 48 n (n - 4) n (n - 4) 11 n 2 10 n 2 9 n 2 n ((n - 1) ) 7 n ((n - 1) ) 77 n ((n - 1) ) - ----------------- + ----------------- - ----------------- 9 n 2 9 n 2 9 n 2 12 (n - 1) (n ) 6 (n - 1) (n ) 12 (n - 1) (n ) 8 n 2 7 n 2 n 9 n 8 52 n ((n - 1) ) 23 n ((n - 1) ) (n - 2) n 7 (n - 2) n + ----------------- - ----------------- + -------------- - ------------- 9 n 2 9 n 2 7 n 7 n 3 (n - 1) (n ) (n - 1) (n ) 12 (n - 2) n 4 (n - 2) n n 7 n 6 n 5 n 4 175 (n - 2) n 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n + --------------- - --------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 3 (n - 2) n (n - 2) n n 3 6 n 2 17 n 2 n 60 (n - 2) n 12 n ((n - 1) ) 93 n ((n - 1) ) (n - 2) + -------------- + ----------------- + --------------------------- 7 n 9 n 2 9 n 3 6 (n - 2) n (n - 1) (n ) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 1389 n ((n - 1) ) (n - 2) 13365 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 9 n 3 6 9 n 3 6 8 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 29 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 9 n 3 6 9 n 3 6 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 16623 n ((n - 1) ) (n - 2) 4536 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 9 n 3 6 9 n 3 6 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 47599 n ((n - 1) ) (n - 2) 35143 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 6 9 n 3 6 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 9 n 2 n 14 n 2 n 1080 n ((n - 1) ) (n - 2) 43245 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 9 n 3 6 9 n 3 6 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 17 n n 16 n n n (n - 1) (n - 3) 13 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 48 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n n 14 n n 337 n (n - 1) (n - 3) 1135 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 8 5 n 2 8 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n n 14891 n (n - 1) (n - 3) 66549 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 11 n n 10 n n 154943 n (n - 1) (n - 3) 27815 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 8 5 n 2 8 12 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 122086 n (n - 1) (n - 3) 38443 n (n - 1) (n - 3) - --------------------------- + -------------------------- 5 n 2 8 5 n 2 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 21048 n (n - 1) (n - 3) 5040 n (n - 1) (n - 3) - -------------------------- + ------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 31 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 211 n ((n - 1) ) (n - 2) 1661 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 16745 n ((n - 1) ) (n - 2) 56455 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 8053 n ((n - 1) ) (n - 2) 12273 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 11934 n ((n - 1) ) (n - 2) 6669 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n n 1620 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - -------------------------- 8 n 3 7 4 n 2 9 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 3) 16 n n 15 n n 43 n (n - 1) (n - 3) 407 n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 2 9 4 n 2 9 16 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 14 n n 13 n n 4473 n (n - 1) (n - 3) 63369 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 8 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 12 n n 11 n n 303555 n (n - 1) (n - 3) 125341 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 16 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 142649 n (n - 1) (n - 3) 219050 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 215817 n (n - 1) (n - 3) 122508 n (n - 1) (n - 3) + --------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 30240 n (n - 1) (n - 3) n (n - 1) (n - 2) + -------------------------- - ------------------------- 4 n 2 9 5 n 2 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 2) 13 n n 12 n n 3 n (n - 1) (n - 2) 123 n (n - 1) (n - 2) + ----------------------- - ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n n 10 n n 351 n (n - 1) (n - 2) 4869 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 6 5 n 2 6 2 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 9 n n 8 n n 2619 n (n - 1) (n - 2) 3401 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 6 5 n 2 6 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 1212 n (n - 1) (n - 2) 360 n (n - 1) (n - 2) + ------------------------- - ------------------------ 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 12 n 3 11 n 3 677 n ((n - 1) ) 889 n ((n - 1) ) 693 n ((n - 1) ) - ------------------- + ------------------- - ------------------- 13 n 3 13 n 3 13 n 3 8 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 10 n 3 12 n 11 n 10 n 297 n ((n - 1) ) n (n - 3) 19 n (n - 3) 309 n (n - 3) + ------------------- + ------------- - --------------- + ---------------- 13 n 3 n 9 n 9 n 9 (n - 1) (n ) 8 n (n - 3) 4 n (n - 3) 4 n (n - 3) 9 n 8 n 7 n 1407 n (n - 3) 31521 n (n - 3) 56091 n (n - 3) - ---------------- + ----------------- - ----------------- n 9 n 9 n 9 2 n (n - 3) 8 n (n - 3) 4 n (n - 3) 6 n 5 n 4 n 63173 n (n - 3) 43229 n (n - 3) 32436 n (n - 3) + ----------------- - ----------------- + ----------------- n 9 n 9 n 9 2 n (n - 3) n (n - 3) n (n - 3) 3 n 10080 n (n - 3) - ----------------- n 9 n (n - 3) and in Maple notation -108*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3+324*n^12*((n-1)^n)^4/(n-1)^17/(n^n)^4-1/8 *n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2 *(n-2)^n/(n-2)^7-143/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+217*n^11*(n -1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/8*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2) ^n/(n-2)^7+7147/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-4821/2*n^8*(n-1)^ n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1773*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2 )^7-540*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1/8*n^16*((n-1)^n)^3/(n-1)^ 13/(n^n)^3-19/8*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^3+153/8*n^14*((n-1)^n)^3/(n-1)^ 13/(n^n)^3-1/16*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+3/2*n^20*((n-1)^n)^4/(n-1)^17 /(n^n)^4-127/8*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+389/4*n^18*((n-1)^n)^4/(n-1)^ 17/(n^n)^4-6081/16*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^4+3931/4*n^16*((n-1)^n)^4/(n -1)^17/(n^n)^4-3363/2*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^4+1836*n^14*((n-1)^n)^4/( n-1)^17/(n^n)^4-1161*n^13*((n-1)^n)^4/(n-1)^17/(n^n)^4-5/4/(n^n)*n^14*(n-4)^n/( n-4)^11+1601/48/(n^n)*n^13*(n-4)^n/(n-4)^11-1045/2/(n^n)*n^12*(n-4)^n/(n-4)^11+ 85481/16/(n^n)*n^11*(n-4)^n/(n-4)^11-149985/4/(n^n)*n^10*(n-4)^n/(n-4)^11+ 8873843/48/(n^n)*n^9*(n-4)^n/(n-4)^11-643885/(n^n)*n^8*(n-4)^n/(n-4)^11+4706416 /3/(n^n)*n^7*(n-4)^n/(n-4)^11-2601115/(n^n)*n^6*(n-4)^n/(n-4)^11+2776947/(n^n)* n^5*(n-4)^n/(n-4)^11-1706580/(n^n)*n^4*(n-4)^n/(n-4)^11+1/48/(n^n)*n^15*(n-4)^n /(n-4)^11+453600/(n^n)*n^3*(n-4)^n/(n-4)^11-1/12*n^11*((n-1)^n)^2/(n-1)^9/(n^n) ^2+7/6*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^2-77/12*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^2+ 52/3*n^8*((n-1)^n)^2/(n-1)^9/(n^n)^2-23*n^7*((n-1)^n)^2/(n-1)^9/(n^n)^2+1/12*(n -2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/(n ^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*(n-\ 2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3+12*n^6*((n-1)^n)^2/(n-1)^9/ (n^n)^2+93/4*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6-1389/8*n^16*((n-1 )^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6+13365/16*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^ 3*(n-2)^n/(n-2)^6+1/16*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6-29/16*n ^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6+16623/2*n^11*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-2)^n/(n-2)^6-4536*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6 +47599/8*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6-35143/4*n^12*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6+1080*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^ n/(n-2)^6-43245/16*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6-1/48*n^17*( n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+13/16*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^8-337/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+1135/8*n^14*(n-1 )^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-14891/16*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^8+66549/16*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-154943/12*n^11 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+27815*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 3)^n/(n-3)^8-122086/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+38443*n^8*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-21048*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/ (n-3)^8+5040*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+1/16*n^19*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-31/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/ (n-2)^7+211/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1661/8*n^16*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+16745/16*n^15*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-2)^n/(n-2)^7-56455/16*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+ 8053*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-12273*n^12*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-2)^n/(n-2)^7+11934*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n -2)^7-6669*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+1620*n^9*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1/16*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^9+43/16*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-407/8*n^15*(n-1)^n/(n-1 )^4/(n^n)^2*(n-3)^n/(n-3)^9+4473/8*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9 -63369/16*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+303555/16*n^12*(n-1)^n/( n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-125341/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n -3)^9+142649*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-219050*n^9*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^9+215817*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^ 9-122508*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+30240*n^6*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^9-1/8*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+3*n^13 *(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-123/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^6+351/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-4869/8*n^10*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+2619/2*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n /(n-2)^6-3401/2*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+1212*n^7*(n-1)^n/(n -1)^5/(n^n)^2*(n-2)^n/(n-2)^6-360*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-\ 677/8*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+889/4*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^3 -693/2*n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3+297*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^3+ 1/8/(n^n)*n^12*(n-3)^n/(n-3)^9-19/4/(n^n)*n^11*(n-3)^n/(n-3)^9+309/4/(n^n)*n^10 *(n-3)^n/(n-3)^9-1407/2/(n^n)*n^9*(n-3)^n/(n-3)^9+31521/8/(n^n)*n^8*(n-3)^n/(n-\ 3)^9-56091/4/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/2/(n^n)*n^6*(n-3)^n/(n-3)^9-43229/ (n^n)*n^5*(n-3)^n/(n-3)^9+32436/(n^n)*n^4*(n-3)^n/(n-3)^9-10080/(n^n)*n^3*(n-3) ^n/(n-3)^9 The, 3, 2, mixed moment of, X[3], and , X[4], is 20 n 3 n 19 n 3 n 40781 n ((n - 1) ) (n - 2) 898565 n ((n - 1) ) (n - 2) ------------------------------ - ------------------------------- 14 n 4 6 14 n 4 6 16 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 18 n 3 n 25 n 3 n 610621 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------- 14 n 4 6 14 n 4 6 24 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 19 n ((n - 1) ) (n - 2) 659 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 14 n 4 6 14 n 4 6 48 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 863 n ((n - 1) ) (n - 2) 16245 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 14 n 4 6 14 n 4 6 12 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 54522 n ((n - 1) ) (n - 2) 22824 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 14 n 4 6 14 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 225283 n ((n - 1) ) (n - 2) 156287 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 14 n 4 6 14 n 4 6 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 4320 n ((n - 1) ) (n - 2) 613895 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------- 14 n 4 6 14 n 4 6 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 23 n 2 n 22 n 2 n n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ---------------------------- - -------------------------- 10 n 3 8 10 n 3 8 288 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 1051 n ((n - 1) ) (n - 3) 773 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 10 n 3 8 10 n 3 8 288 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 124423 n ((n - 1) ) (n - 3) 66245 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 3 8 10 n 3 8 288 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3741533 n ((n - 1) ) (n - 3) 2196007 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 288 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 2179691 n ((n - 1) ) (n - 3) 479259 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 18 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 6278021 n ((n - 1) ) (n - 3) 1085339 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 18 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 252540 n ((n - 1) ) (n - 3) 106032 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 25 n 3 n 20160 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) + ----------------------------- - --------------------------- 10 n 3 8 13 n 4 7 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 5 n ((n - 1) ) (n - 2) 727 n ((n - 1) ) (n - 2) + -------------------------- - ---------------------------- 13 n 4 7 13 n 4 7 6 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 1325 n ((n - 1) ) (n - 2) 19453 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 7 13 n 4 7 8 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 25305 n ((n - 1) ) (n - 2) 1152041 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 13 n 4 7 13 n 4 7 4 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 222159 n ((n - 1) ) (n - 2) 158130 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 832903 n ((n - 1) ) (n - 2) 1612855 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 6 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 67392 n ((n - 1) ) (n - 2) 208815 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 23 n 2 n 12960 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ------------------------------ + -------------------------- 13 n 4 7 9 n 3 9 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 13 n ((n - 1) ) (n - 3) 409 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 3 9 9 n 3 9 12 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 8707 n ((n - 1) ) (n - 3) 166079 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 9 n 3 9 9 n 3 9 24 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 46917 n ((n - 1) ) (n - 3) 5597021 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 9 n 3 9 9 n 3 9 2 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 10360111 n ((n - 1) ) (n - 3) 2391771 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 3 9 9 n 3 9 24 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 7400233 n ((n - 1) ) (n - 3) 11183737 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 4000418 n ((n - 1) ) (n - 3) 2878992 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 1242144 n ((n - 1) ) (n - 3) 241920 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n n 19 n n 23 n (n - 1) (n - 4) 2167 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 48 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 21 n n 17 n n n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) - ---------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 144 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 48 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 48 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 12 n n 11 n n 75796589 n (n - 1) (n - 4) 247287482 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 6 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 10 n n 9 n n 131979421 n (n - 1) (n - 4) 50146734 n (n - 1) (n - 4) + ------------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 38366736 n (n - 1) (n - 4) 17583840 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 6 n n 13691 n (n - 1) (n - 4) 3628800 n (n - 1) (n - 4) + --------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 48 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 1632377 n ((n - 1) ) (n - 2) 4760489 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 12 n 4 8 12 n 4 8 288 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 5100619 n ((n - 1) ) (n - 2) 55072 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------ 12 n 4 8 12 n 4 8 144 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 60356 n ((n - 1) ) (n - 2) 88233 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 19251 n ((n - 1) ) (n - 2) 3780 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n n ((n - 1) ) (n - 2) 43 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 8 12 n 4 8 288 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 835 n ((n - 1) ) (n - 2) 3233 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 12 n 4 8 12 n 4 8 288 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 8357 n ((n - 1) ) (n - 2) 137107 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 32 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 19 n ((n - 1) ) (n - 3) 489 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 20 n 2 n 23 n 2 n 22589 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------- 8 n 3 10 8 n 3 10 96 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 77483 n ((n - 1) ) (n - 3) 563641 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 8967401 n ((n - 1) ) (n - 3) 11741269 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 96 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 17164879 n ((n - 1) ) (n - 3) 13941823 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 3669757 n ((n - 1) ) (n - 3) 8193573 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 3054231 n ((n - 1) ) (n - 3) 1359612 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 13 n n 272160 n ((n - 1) ) (n - 3) 409966293 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 8 n 3 10 4 n 2 12 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 4) 9 n n 8 n n 368826237 n (n - 1) (n - 4) 147318741 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 4 n 2 12 4 n 2 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 547764967 n (n - 1) (n - 4) 1900332467 n (n - 1) (n - 4) - ------------------------------- + -------------------------------- 4 n 2 12 4 n 2 12 6 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 7 n n 15 n 5 70151940 n (n - 1) (n - 4) 1728 n ((n - 1) ) - ----------------------------- + -------------------- 4 n 2 12 22 n 5 (n - 1) (n ) (n - 4) (n - 1) (n ) 12 n 4 12 n 4 14 n n 432 n ((n - 1) ) 108 n ((n - 1) ) n (n - 1) (n - 2) - ------------------- + ------------------- - ------------------------- 18 n 4 17 n 4 4 n 2 7 (n - 1) (n ) (n - 1) (n ) 8 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n n 10 n n 217 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 4821 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 1773 n (n - 1) (n - 2) 540 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 20 n 4 19 n 4 n ((n - 1) ) n ((n - 1) ) 127 n ((n - 1) ) - ------------------ + ----------------- - ------------------- 17 n 4 17 n 4 17 n 4 48 (n - 1) (n ) 2 (n - 1) (n ) 24 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 389 n ((n - 1) ) 2027 n ((n - 1) ) 3931 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 17 n 4 17 n 4 17 n 4 12 (n - 1) (n ) 16 (n - 1) (n ) 12 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 1121 n ((n - 1) ) 612 n ((n - 1) ) 387 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 17 n 4 17 n 4 17 n 4 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 14 n 13 n 12 n 5 n (n - 4) 1601 n (n - 4) 1045 n (n - 4) - -------------- + ----------------- - ----------------- n 11 n 11 n 11 4 n (n - 4) 48 n (n - 4) 2 n (n - 4) 11 n 10 n 9 n 85481 n (n - 4) 149985 n (n - 4) 8873843 n (n - 4) + ------------------ - ------------------- + ------------------- n 11 n 11 n 11 16 n (n - 4) 4 n (n - 4) 48 n (n - 4) 8 n 7 n 6 n 643885 n (n - 4) 4706416 n (n - 4) 2601115 n (n - 4) - ------------------ + ------------------- - ------------------- n 11 n 11 n 11 n (n - 4) 3 n (n - 4) n (n - 4) 5 n 4 n 15 n 2776947 n (n - 4) 1706580 n (n - 4) n (n - 4) + ------------------- - ------------------- + --------------- n 11 n 11 n 11 n (n - 4) n (n - 4) 48 n (n - 4) 3 n 19 n 18 n 453600 n (n - 4) n (n - 5) 25 n (n - 5) + ------------------ + ---------------- - --------------- n 11 n 14 n 14 n (n - 4) 288 n (n - 5) 72 n (n - 5) 17 n 16 n 15 n 143 n (n - 5) 31765 n (n - 5) 1196741 n (n - 5) + ---------------- - ------------------ + -------------------- n 14 n 14 n 14 9 n (n - 5) 72 n (n - 5) 144 n (n - 5) 14 n 13 n 12 n 8099455 n (n - 5) 40698229 n (n - 5) 618767435 n (n - 5) - -------------------- + --------------------- - ---------------------- n 14 n 14 n 14 72 n (n - 5) 36 n (n - 5) 72 n (n - 5) 11 n 10 n 14365627133 n (n - 5) 3986760635 n (n - 5) + ------------------------ - ----------------------- n 14 n 14 288 n (n - 5) 18 n (n - 5) 6 n 5 n 4734363090 n (n - 5) 4198736568 n (n - 5) - ---------------------- + ---------------------- n 14 n 14 n (n - 5) n (n - 5) 8 n 9 n 34274227715 n (n - 5) 6739212844 n (n - 5) - ----------------------- + ---------------------- n 14 n 14 18 n (n - 5) 9 n (n - 5) 4 n 7 n 3 n 2212391520 n (n - 5) 21381576733 n (n - 5) 518918400 n (n - 5) - ---------------------- + ----------------------- + --------------------- n 14 n 14 n 14 n (n - 5) 6 n (n - 5) n (n - 5) 9 n 3 17 n 3 16 n 3 48 n ((n - 1) ) n ((n - 1) ) 23 n ((n - 1) ) + ----------------- + ------------------ - ------------------ 14 n 3 14 n 3 14 n 3 (n - 1) (n ) 72 (n - 1) (n ) 72 (n - 1) (n ) 15 n 3 14 n 3 13 n 3 229 n ((n - 1) ) 1289 n ((n - 1) ) 2243 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 14 n 3 14 n 3 14 n 3 72 (n - 1) (n ) 72 (n - 1) (n ) 36 (n - 1) (n ) 12 n 3 11 n 3 10 n 3 2471 n ((n - 1) ) 187 n ((n - 1) ) 144 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 14 n 3 14 n 3 14 n 3 18 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 13 n 12 n 11 n 10 n n (n - 3) 47 n (n - 3) 40 n (n - 3) 1865 n (n - 3) + --------------- - --------------- + --------------- - ----------------- n 10 n 10 n 10 n 10 72 n (n - 3) 72 n (n - 3) 3 n (n - 3) 12 n (n - 3) 9 n 8 n 7 n 27391 n (n - 3) 131957 n (n - 3) 631165 n (n - 3) + ----------------- - ------------------ + ------------------ n 10 n 10 n 10 24 n (n - 3) 24 n (n - 3) 36 n (n - 3) 6 n 5 n 4 n 655015 n (n - 3) 46833 n (n - 3) 33556 n (n - 3) - ------------------ + ----------------- - ----------------- n 10 n 10 n 10 18 n (n - 3) n (n - 3) n (n - 3) 3 n n 9 n 8 n 7 10080 n (n - 3) (n - 2) n 7 (n - 2) n 175 (n - 2) n + ----------------- + -------------- - ------------- + --------------- n 10 7 n 7 n 7 n n (n - 3) 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n n 6 n 5 n 4 n 3 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n - --------------- + --------------- - --------------- + -------------- 7 n 7 n 7 n 7 n 4 (n - 2) n 3 (n - 2) n (n - 2) n (n - 2) n 27 n 5 26 n 5 25 n 5 n ((n - 1) ) 11 n ((n - 1) ) 62 n ((n - 1) ) + ------------------ - ------------------ + ------------------ 22 n 5 22 n 5 22 n 5 72 (n - 1) (n ) 24 (n - 1) (n ) 9 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 2245 n ((n - 1) ) 27265 n ((n - 1) ) 117005 n ((n - 1) ) - -------------------- + --------------------- - ---------------------- 22 n 5 22 n 5 22 n 5 36 (n - 1) (n ) 72 (n - 1) (n ) 72 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 20215 n ((n - 1) ) 103285 n ((n - 1) ) 56660 n ((n - 1) ) + --------------------- - ---------------------- + --------------------- 22 n 5 22 n 5 22 n 5 4 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 21970 n ((n - 1) ) 17148 n ((n - 1) ) 8064 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 22 n 5 22 n 5 22 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 31 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 211 n ((n - 1) ) (n - 2) 1661 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 16745 n ((n - 1) ) (n - 2) 56455 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 8053 n ((n - 1) ) (n - 2) 12273 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 11934 n ((n - 1) ) (n - 2) 6669 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n n 1620 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - -------------------------- 8 n 3 7 4 n 2 9 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 3) 16 n n 15 n n 43 n (n - 1) (n - 3) 407 n (n - 1) (n - 3) + -------------------------- - ------------------------- 4 n 2 9 4 n 2 9 16 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 14 n n 13 n n 4473 n (n - 1) (n - 3) 63369 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 8 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 12 n n 11 n n 303555 n (n - 1) (n - 3) 125341 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 16 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 142649 n (n - 1) (n - 3) 219050 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 215817 n (n - 1) (n - 3) 122508 n (n - 1) (n - 3) + --------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 10 n 30240 n (n - 1) (n - 3) 28671863 n (n - 4) + -------------------------- + --------------------- 4 n 2 9 n 12 (n - 1) (n ) (n - 3) 48 n (n - 4) 6 n 5 n 8 n 31389212 n (n - 4) 32252997 n (n - 4) 25954621 n (n - 4) + -------------------- - -------------------- + -------------------- n 12 n 12 n 12 n (n - 4) n (n - 4) 3 n (n - 4) 9 n 4 n 15 n 128518753 n (n - 4) 19225980 n (n - 4) 71 n (n - 4) - --------------------- + -------------------- - --------------- n 12 n 12 n 12 48 n (n - 4) n (n - 4) 48 n (n - 4) 16 n 14 n 12 n n (n - 4) 2261 n (n - 4) 177441 n (n - 4) + --------------- + ----------------- + ------------------- n 12 n 12 n 12 48 n (n - 4) 48 n (n - 4) 16 n (n - 4) 11 n 13 n 7 n 1540231 n (n - 4) 42691 n (n - 4) 59573921 n (n - 4) - -------------------- - ------------------ - -------------------- n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 3 n (n - 4) 3 n 20 n 2 n 4989600 n (n - 4) n ((n - 1) ) (n - 2) - ------------------- + -------------------------- n 12 9 n 3 7 n (n - 4) 24 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 35 n ((n - 1) ) (n - 2) 91 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 3 7 9 n 3 7 24 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 835 n ((n - 1) ) (n - 2) 10011 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 9 n 3 7 9 n 3 7 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 41145 n ((n - 1) ) (n - 2) 88667 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 8 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 88970 n ((n - 1) ) (n - 2) 40684 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 36270 n ((n - 1) ) (n - 2) 18864 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 4320 n ((n - 1) ) (n - 2) 27211 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 9 n 3 7 4 n 2 12 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 4) 19 n n 17 n n 437 n (n - 1) (n - 4) 47459 n (n - 1) (n - 4) - --------------------------- - --------------------------- 4 n 2 12 4 n 2 12 16 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 15 n n 14 n n 27484633 n (n - 1) (n - 4) 149801113 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 12 4 n 2 12 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 16 n n 10 n n 1256409 n (n - 1) (n - 4) 308346899 n (n - 1) (n - 4) + ----------------------------- + ------------------------------- 4 n 2 12 4 n 2 12 16 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 6 n n 21 n n 14968800 n (n - 1) (n - 4) n (n - 1) (n - 4) + ----------------------------- - --------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 20 n n 12 n 11 n 19 n (n - 1) (n - 4) n (n - 3) 19 n (n - 3) + --------------------------- + ------------- - --------------- 4 n 2 12 n 9 n 9 24 (n - 1) (n ) (n - 4) 8 n (n - 3) 4 n (n - 3) 10 n 9 n 8 n 309 n (n - 3) 1407 n (n - 3) 31521 n (n - 3) + ---------------- - ---------------- + ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) 8 n (n - 3) 7 n 6 n 5 n 56091 n (n - 3) 63173 n (n - 3) 43229 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) n (n - 3) 4 n 3 n 16 n n 32436 n (n - 3) 10080 n (n - 3) 1201 n (n - 1) (n - 3) + ----------------- - ----------------- - --------------------------- n 9 n 9 4 n 2 10 n (n - 3) n (n - 3) 48 (n - 1) (n ) (n - 3) 15 n n 14 n n 339 n (n - 1) (n - 3) 47961 n (n - 1) (n - 3) + ------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 13 n n 12 n n 72823 n (n - 1) (n - 3) 3734723 n (n - 1) (n - 3) + --------------------------- - ----------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 11 n n 10 n n 1413367 n (n - 1) (n - 3) 1502891 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 4 n 2 10 4 n 2 10 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 729089 n (n - 1) (n - 3) 688287 n (n - 1) (n - 3) + --------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 377604 n (n - 1) (n - 3) 90720 n (n - 1) (n - 3) + --------------------------- - -------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n n 17 n n n (n - 1) (n - 3) 13 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 10 4 n 2 10 48 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 20 n 2 n 15 n n n ((n - 1) ) (n - 2) n (n - 1) (n - 2) + --------------------------- - -------------------------- 10 n 3 6 5 n 2 7 48 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n n 11 n n 80 n (n - 1) (n - 2) 1477 n (n - 1) (n - 2) + ------------------------ - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n n 9 n n 2205 n (n - 1) (n - 2) 19115 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 7610 n (n - 1) (n - 2) 1696 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 22 n 4 21 n 4 480 n (n - 1) (n - 2) n ((n - 1) ) 7 n ((n - 1) ) + ------------------------ - ------------------ + ------------------ 5 n 2 7 18 n 4 18 n 4 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) 12 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 175 n ((n - 1) ) 643 n ((n - 1) ) 12305 n ((n - 1) ) - ------------------- + ------------------- - --------------------- 18 n 4 18 n 4 18 n 4 24 (n - 1) (n ) 12 (n - 1) (n ) 48 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 2503 n ((n - 1) ) 11225 n ((n - 1) ) 2854 n ((n - 1) ) + -------------------- - --------------------- + -------------------- 18 n 4 18 n 4 18 n 4 3 (n - 1) (n ) 6 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 2835 n ((n - 1) ) 1656 n ((n - 1) ) - -------------------- + -------------------- 18 n 4 18 n 4 (n - 1) (n ) (n - 1) (n ) 19 n 2 n 18 n 2 n 11 n ((n - 1) ) (n - 2) 61 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 10 n 3 6 10 n 3 6 16 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 711 n ((n - 1) ) (n - 2) 8159 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 10 n 3 6 10 n 3 6 8 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 32235 n ((n - 1) ) (n - 2) 134089 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 16 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 43447 n ((n - 1) ) (n - 2) 86909 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 10 n 3 6 10 n 3 6 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 12594 n ((n - 1) ) (n - 2) 6408 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 1440 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) - ---------------------------- - -------------------------- 10 n 3 6 5 n 2 9 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 3) 17 n n 16 n n 47 n (n - 1) (n - 3) 493 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 9 5 n 2 9 24 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 15 n n 14 n n 6101 n (n - 1) (n - 3) 33051 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 9 5 n 2 9 12 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n n 185677 n (n - 1) (n - 3) 554237 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 8 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 11 n n 10 n n 786662 n (n - 1) (n - 3) 1579292 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 9 n n 8 n n 2184034 n (n - 1) (n - 3) 657184 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 346848 n (n - 1) (n - 3) 80640 n (n - 1) (n - 3) + --------------------------- - -------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) and in Maple notation 40781/16*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-898565/96*n^19*((n-1 )^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+610621/24*n^18*((n-1)^n)^3/(n-1)^14/(n^ n)^4*(n-2)^n/(n-2)^6-1/96*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+19/ 48*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-659/96*n^23*((n-1)^n)^3/(n -1)^14/(n^n)^4*(n-2)^n/(n-2)^6+863/12*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n /(n-2)^6-16245/32*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+54522*n^14* ((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-22824*n^13*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-2)^n/(n-2)^6+225283/3*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^ 6-156287/2*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+4320*n^12*((n-1)^n )^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-613895/12*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^ 4*(n-2)^n/(n-2)^6+1/288*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-1/6*n ^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+1051/288*n^21*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^8-773/16*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/( n-3)^8+124423/288*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-66245/24*n^ 18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+3741533/288*n^17*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-3)^n/(n-3)^8-2196007/48*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 3)^n/(n-3)^8+2179691/18*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-\ 479259/2*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+6278021/18*n^13*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-1085339/3*n^12*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^8+252540*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-\ 106032*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+20160*n^9*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-1/48*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n /(n-2)^7+5/6*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-727/48*n^23*((n-\ 1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+1325/8*n^22*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-2)^n/(n-2)^7-19453/16*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+ 25305/4*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-1152041/48*n^19*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-222159*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^7+158130*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-\ 832903/6*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+1612855/24*n^18*((n-\ 1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-67392*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^7+208815*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+ 12960*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+1/48*n^23*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-13/12*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/( n-3)^9+409/16*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-8707/24*n^20*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+166079/48*n^19*((n-1)^n)^2/(n-1)^9/(n^ n)^3*(n-3)^n/(n-3)^9-46917/2*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 5597021/48*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-10360111/24*n^16*(( n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+2391771/2*n^15*((n-1)^n)^2/(n-1)^9/(n ^n)^3*(n-3)^n/(n-3)^9-7400233/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^ 9+11183737/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-4000418*n^12*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+2878992*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^ 3*(n-3)^n/(n-3)^9-1242144*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 241920*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+23/48*n^20*(n-1)^n/(n-1) ^5/(n^n)^2*(n-4)^n/(n-4)^11-2167/144*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^11-1/144*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-525229/144*n^17*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+1599437/48*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^11-32341661/144*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673 /48*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-313688287/72*n^13*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11+75796589/6*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^11-247287482/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+131979421/3*n ^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-50146734*n^9*(n-1)^n/(n-1)^5/(n^n) ^2*(n-4)^n/(n-4)^11+38366736*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-\ 17583840*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+13691/48*n^18*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11+3628800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4) ^11-1632377/288*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+4760489/288*n ^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-5100619/144*n^17*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+55072*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n /(n-2)^8-60356*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+88233/2*n^14*( (n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-19251*n^13*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-2)^n/(n-2)^8+3780*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-1/ 288*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+43/288*n^24*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-835/288*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2) ^n/(n-2)^8+3233/96*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-8357/32*n^ 21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+137107/96*n^20*((n-1)^n)^3/(n-1 )^12/(n^n)^4*(n-2)^n/(n-2)^8-19/32*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^10+489/32*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-22589/96*n^20*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+1/96*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-3)^n/(n-3)^10+77483/32*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-\ 563641/32*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+8967401/96*n^17*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-11741269/32*n^16*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^10+17164879/16*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^10-13941823/6*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+3669757*n^ 13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-8193573/2*n^12*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^10+3054231*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^10-1359612*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+272160*n^9*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-409966293/32*n^13*(n-1)^n/(n-1)^4/(n ^n)^2*(n-4)^n/(n-4)^12-368826237/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12 +147318741*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-547764967/6*n^11*(n-1)^ n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1900332467/48*n^12*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^12-70151940*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1728*n^15 *((n-1)^n)^5/(n-1)^22/(n^n)^5-432*n^12*((n-1)^n)^4/(n-1)^18/(n^n)^4+108*n^12*(( n-1)^n)^4/(n-1)^17/(n^n)^4-1/8*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/ 4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-143/4*n^12*(n-1)^n/(n-1)^4/(n^n) ^2*(n-2)^n/(n-2)^7+217*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/8*n^10 *(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+7147/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 2)^n/(n-2)^7-4821/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1773*n^7*(n-1)^ n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-540*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2) ^7-1/48*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+1/2*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^4 -127/24*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+389/12*n^18*((n-1)^n)^4/(n-1)^17/(n^n )^4-2027/16*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^4+3931/12*n^16*((n-1)^n)^4/(n-1)^17 /(n^n)^4-1121/2*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^4+612*n^14*((n-1)^n)^4/(n-1)^17 /(n^n)^4-387*n^13*((n-1)^n)^4/(n-1)^17/(n^n)^4-5/4/(n^n)*n^14*(n-4)^n/(n-4)^11+ 1601/48/(n^n)*n^13*(n-4)^n/(n-4)^11-1045/2/(n^n)*n^12*(n-4)^n/(n-4)^11+85481/16 /(n^n)*n^11*(n-4)^n/(n-4)^11-149985/4/(n^n)*n^10*(n-4)^n/(n-4)^11+8873843/48/(n ^n)*n^9*(n-4)^n/(n-4)^11-643885/(n^n)*n^8*(n-4)^n/(n-4)^11+4706416/3/(n^n)*n^7* (n-4)^n/(n-4)^11-2601115/(n^n)*n^6*(n-4)^n/(n-4)^11+2776947/(n^n)*n^5*(n-4)^n/( n-4)^11-1706580/(n^n)*n^4*(n-4)^n/(n-4)^11+1/48/(n^n)*n^15*(n-4)^n/(n-4)^11+ 453600/(n^n)*n^3*(n-4)^n/(n-4)^11+1/288/(n^n)*n^19*(n-5)^n/(n-5)^14-25/72/(n^n) *n^18*(n-5)^n/(n-5)^14+143/9/(n^n)*n^17*(n-5)^n/(n-5)^14-31765/72/(n^n)*n^16*(n -5)^n/(n-5)^14+1196741/144/(n^n)*n^15*(n-5)^n/(n-5)^14-8099455/72/(n^n)*n^14*(n -5)^n/(n-5)^14+40698229/36/(n^n)*n^13*(n-5)^n/(n-5)^14-618767435/72/(n^n)*n^12* (n-5)^n/(n-5)^14+14365627133/288/(n^n)*n^11*(n-5)^n/(n-5)^14-3986760635/18/(n^n )*n^10*(n-5)^n/(n-5)^14-4734363090/(n^n)*n^6*(n-5)^n/(n-5)^14+4198736568/(n^n)* n^5*(n-5)^n/(n-5)^14-34274227715/18/(n^n)*n^8*(n-5)^n/(n-5)^14+6739212844/9/(n^ n)*n^9*(n-5)^n/(n-5)^14-2212391520/(n^n)*n^4*(n-5)^n/(n-5)^14+21381576733/6/(n^ n)*n^7*(n-5)^n/(n-5)^14+518918400/(n^n)*n^3*(n-5)^n/(n-5)^14+48*n^9*((n-1)^n)^3 /(n-1)^14/(n^n)^3+1/72*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^3-23/72*n^16*((n-1)^n)^3 /(n-1)^14/(n^n)^3+229/72*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^3-1289/72*n^14*((n-1)^ n)^3/(n-1)^14/(n^n)^3+2243/36*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^3-2471/18*n^12*(( n-1)^n)^3/(n-1)^14/(n^n)^3+187*n^11*((n-1)^n)^3/(n-1)^14/(n^n)^3-144*n^10*((n-1 )^n)^3/(n-1)^14/(n^n)^3+1/72/(n^n)*n^13*(n-3)^n/(n-3)^10-47/72/(n^n)*n^12*(n-3) ^n/(n-3)^10+40/3/(n^n)*n^11*(n-3)^n/(n-3)^10-1865/12/(n^n)*n^10*(n-3)^n/(n-3)^ 10+27391/24/(n^n)*n^9*(n-3)^n/(n-3)^10-131957/24/(n^n)*n^8*(n-3)^n/(n-3)^10+ 631165/36/(n^n)*n^7*(n-3)^n/(n-3)^10-655015/18/(n^n)*n^6*(n-3)^n/(n-3)^10+46833 /(n^n)*n^5*(n-3)^n/(n-3)^10-33556/(n^n)*n^4*(n-3)^n/(n-3)^10+10080/(n^n)*n^3*(n -3)^n/(n-3)^10+1/12*(n-2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175 /12*(n-2)^n/(n-2)^7/(n^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-\ 2)^7/(n^n)*n^5-147*(n-2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3+1/72* n^27*((n-1)^n)^5/(n-1)^22/(n^n)^5-11/24*n^26*((n-1)^n)^5/(n-1)^22/(n^n)^5+62/9* n^25*((n-1)^n)^5/(n-1)^22/(n^n)^5-2245/36*n^24*((n-1)^n)^5/(n-1)^22/(n^n)^5+ 27265/72*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^5-117005/72*n^22*((n-1)^n)^5/(n-1)^22/ (n^n)^5+20215/4*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^5-103285/9*n^20*((n-1)^n)^5/(n-\ 1)^22/(n^n)^5+56660/3*n^19*((n-1)^n)^5/(n-1)^22/(n^n)^5-21970*n^18*((n-1)^n)^5/ (n-1)^22/(n^n)^5+17148*n^17*((n-1)^n)^5/(n-1)^22/(n^n)^5-8064*n^16*((n-1)^n)^5/ (n-1)^22/(n^n)^5+1/16*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-31/16*n^ 18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+211/8*n^17*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^7-1661/8*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+ 16745/16*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-56455/16*n^14*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+8053*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^7-12273*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+11934*n^11*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-6669*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-2)^n/(n-2)^7+1620*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1/16*n^ 17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+43/16*n^16*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^9-407/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+4473/8*n^14*( n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-63369/16*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n -3)^n/(n-3)^9+303555/16*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-125341/2*n ^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+142649*n^10*(n-1)^n/(n-1)^4/(n^n)^2 *(n-3)^n/(n-3)^9-219050*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+215817*n^8* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-122508*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3 )^n/(n-3)^9+30240*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+28671863/48/(n^n) *n^10*(n-4)^n/(n-4)^12+31389212/(n^n)*n^6*(n-4)^n/(n-4)^12-32252997/(n^n)*n^5*( n-4)^n/(n-4)^12+25954621/3/(n^n)*n^8*(n-4)^n/(n-4)^12-128518753/48/(n^n)*n^9*(n -4)^n/(n-4)^12+19225980/(n^n)*n^4*(n-4)^n/(n-4)^12-71/48/(n^n)*n^15*(n-4)^n/(n-\ 4)^12+1/48/(n^n)*n^16*(n-4)^n/(n-4)^12+2261/48/(n^n)*n^14*(n-4)^n/(n-4)^12+ 177441/16/(n^n)*n^12*(n-4)^n/(n-4)^12-1540231/16/(n^n)*n^11*(n-4)^n/(n-4)^12-\ 42691/48/(n^n)*n^13*(n-4)^n/(n-4)^12-59573921/3/(n^n)*n^7*(n-4)^n/(n-4)^12-\ 4989600/(n^n)*n^3*(n-4)^n/(n-4)^12+1/24*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^ n/(n-2)^7-35/24*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+91/4*n^18*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-835/4*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-2)^n/(n-2)^7+10011/8*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-41145/ 8*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+88667/6*n^14*((n-1)^n)^2/(n-\ 1)^9/(n^n)^3*(n-2)^n/(n-2)^7-88970/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/( n-2)^7+40684*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-36270*n^11*((n-1) ^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+18864*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -2)^n/(n-2)^7-4320*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+27211/48*n^ 18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-437/16*n^19*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^12-47459/6*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-\ 27484633/48*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+149801113/48*n^14*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1256409/16*n^16*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^12+308346899/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+ 14968800*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-1/96*n^21*(n-1)^n/(n-1)^4 /(n^n)^2*(n-4)^n/(n-4)^12+19/24*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1 /8/(n^n)*n^12*(n-3)^n/(n-3)^9-19/4/(n^n)*n^11*(n-3)^n/(n-3)^9+309/4/(n^n)*n^10* (n-3)^n/(n-3)^9-1407/2/(n^n)*n^9*(n-3)^n/(n-3)^9+31521/8/(n^n)*n^8*(n-3)^n/(n-3 )^9-56091/4/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/2/(n^n)*n^6*(n-3)^n/(n-3)^9-43229/( n^n)*n^5*(n-3)^n/(n-3)^9+32436/(n^n)*n^4*(n-3)^n/(n-3)^9-10080/(n^n)*n^3*(n-3)^ n/(n-3)^9-1201/48*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+339*n^15*(n-1)^ n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-47961/16*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^10+72823/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-3734723/48*n^ 12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1413367/6*n^11*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^10-1502891/3*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+ 729089*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-688287*n^8*(n-1)^n/(n-1)^4/ (n^n)^2*(n-3)^n/(n-3)^10+377604*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-\ 90720*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-1/48*n^18*(n-1)^n/(n-1)^4/(n ^n)^2*(n-3)^n/(n-3)^10+13/12*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1/48 *n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1/36*n^15*(n-1)^n/(n-1)^5/(n ^n)^2*(n-2)^n/(n-2)^7+5/6*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/6*n^ 13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+80*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2 )^n/(n-2)^7-1477/4*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+2205/2*n^10*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-19115/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^ n/(n-2)^7+7610/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-1696*n^7*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+480*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-\ 1/48*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^4+7/12*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-\ 175/24*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^4+643/12*n^19*((n-1)^n)^4/(n-1)^18/(n^n) ^4-12305/48*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^4+2503/3*n^17*((n-1)^n)^4/(n-1)^18/ (n^n)^4-11225/6*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+2854*n^15*((n-1)^n)^4/(n-1)^ 18/(n^n)^4-2835*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+1656*n^13*((n-1)^n)^4/(n-1)^ 18/(n^n)^4-11/16*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+61/6*n^18*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-711/8*n^17*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-2)^n/(n-2)^6+8159/16*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 32235/16*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+134089/24*n^14*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43447/4*n^13*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-2)^n/(n-2)^6+86909/6*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-\ 12594*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+6408*n^10*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1440*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^6-1/24*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/24*n^17*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/12*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 9+6101/12*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-33051/8*n^14*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/8*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3 )^9-554237/6*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+786662/3*n^11*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1579292/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^9+2184034/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-657184*n^8*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+346848*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^9-80640*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 The, 3, 3, mixed moment of, X[3], and , X[4], is 25 n 3 n 24 n 3 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 13 n 4 7 13 n 4 7 32 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 727 n ((n - 1) ) (n - 2) 3975 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 13 n 4 7 13 n 4 7 32 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 58359 n ((n - 1) ) (n - 2) 75915 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 4 7 13 n 4 7 32 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 1152041 n ((n - 1) ) (n - 2) 666477 n ((n - 1) ) (n - 2) - -------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 32 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 237195 n ((n - 1) ) (n - 2) 832903 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 1612855 n ((n - 1) ) (n - 2) 101088 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 16 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 626445 n ((n - 1) ) (n - 2) 19440 n ((n - 1) ) (n - 2) + ------------------------------- + ------------------------------ 13 n 4 7 13 n 4 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 2 n 22 n 2 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) + -------------------------- - --------------------------- 9 n 3 9 9 n 3 9 32 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 1227 n ((n - 1) ) (n - 3) 8707 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 9 n 3 9 9 n 3 9 32 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 166079 n ((n - 1) ) (n - 3) 140751 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 3 9 9 n 3 9 32 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 5597021 n ((n - 1) ) (n - 3) 10360111 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 9 n 3 9 9 n 3 9 32 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 7175313 n ((n - 1) ) (n - 3) 7400233 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 9 n 3 9 9 n 3 9 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 11183737 n ((n - 1) ) (n - 3) 6000627 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 9 n 3 9 9 n 3 9 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 4318488 n ((n - 1) ) (n - 3) 1863216 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n n 362880 n ((n - 1) ) (n - 3) 23 n (n - 1) (n - 4) + ------------------------------ + --------------------------- 9 n 3 9 5 n 2 11 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 4) 19 n n 21 n n 2167 n (n - 1) (n - 4) n (n - 1) (n - 4) - --------------------------- - --------------------------- 5 n 2 11 5 n 2 11 96 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 17 n n 16 n n 525229 n (n - 1) (n - 4) 1599437 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 96 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 15 n n 14 n n 32341661 n (n - 1) (n - 4) 54573673 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 5 n 2 11 5 n 2 11 96 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 13 n n 12 n n 313688287 n (n - 1) (n - 4) 75796589 n (n - 1) (n - 4) - ------------------------------- + ------------------------------ 5 n 2 11 5 n 2 11 48 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 11 n n 10 n n 123643741 n (n - 1) (n - 4) 131979421 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 9 n n 8 n n 75220101 n (n - 1) (n - 4) 57550104 n (n - 1) (n - 4) - ----------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 18 n n 26375760 n (n - 1) (n - 4) 13691 n (n - 1) (n - 4) - ----------------------------- + --------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 6 n n 19 n 3 n 5443200 n (n - 1) (n - 4) 1632377 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------------- 5 n 2 11 12 n 4 8 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 4760489 n ((n - 1) ) (n - 2) 5100619 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 12 n 4 8 12 n 4 8 96 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 165216 n ((n - 1) ) (n - 2) 181068 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 264699 n ((n - 1) ) (n - 2) 57753 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 12 n 4 8 12 n 4 8 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 25 n 3 n 11340 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------ - --------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 43 n ((n - 1) ) (n - 2) 835 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 12 n 4 8 12 n 4 8 96 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 3233 n ((n - 1) ) (n - 2) 25071 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 8 12 n 4 8 32 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 20 n 3 n 22 n 2 n 137107 n ((n - 1) ) (n - 2) 57 n ((n - 1) ) (n - 3) + ------------------------------- - --------------------------- 12 n 4 8 8 n 3 10 32 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 1467 n ((n - 1) ) (n - 3) 22589 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 232449 n ((n - 1) ) (n - 3) + --------------------------- + ------------------------------- 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 1690923 n ((n - 1) ) (n - 3) 8967401 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 35223807 n ((n - 1) ) (n - 3) 51494637 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 13941823 n ((n - 1) ) (n - 3) 11009271 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 24580719 n ((n - 1) ) (n - 3) 9162693 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 8 n 3 10 8 n 3 10 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 4078836 n ((n - 1) ) (n - 3) 816480 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 9 n n 1229898879 n (n - 1) (n - 4) 1106478711 n (n - 1) (n - 4) - -------------------------------- - ------------------------------- 4 n 2 12 4 n 2 12 32 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 8 n n 11 n n 441956223 n (n - 1) (n - 4) 547764967 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 12 n n 7 n n 1900332467 n (n - 1) (n - 4) 210455820 n (n - 1) (n - 4) + -------------------------------- - ------------------------------ 4 n 2 12 4 n 2 12 16 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 5 18 n 6 12 n 4 1296 n ((n - 1) ) 8640 n ((n - 1) ) 108 n ((n - 1) ) + -------------------- + -------------------- + ------------------- 22 n 5 27 n 6 17 n 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 14 n n 13 n n n (n - 1) (n - 2) 13 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n n 11 n n 143 n (n - 1) (n - 2) 217 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 6349 n (n - 1) (n - 2) 7147 n (n - 1) (n - 2) - -------------------------- + ------------------------- 4 n 2 7 4 n 2 7 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 8 n n 7 n n 4821 n (n - 1) (n - 2) 1773 n (n - 1) (n - 2) - ------------------------- + ------------------------- 4 n 2 7 4 n 2 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 22 n 2 n 540 n (n - 1) (n - 2) 565 n ((n - 1) ) (n - 3) - ------------------------ + ---------------------------- 4 n 2 7 9 n 3 10 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 28457 n ((n - 1) ) (n - 3) 322805 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 9 n 3 10 9 n 3 10 96 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 61 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 9 n 3 10 9 n 3 10 96 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 873573 n ((n - 1) ) (n - 3) 15731093 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 32 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 71093411 n ((n - 1) ) (n - 3) 40647417 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 96 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 2366681 n ((n - 1) ) (n - 2) 3916937 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 14 n 4 7 14 n 4 7 96 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 523383 n ((n - 1) ) (n - 2) 349956 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 2292251 n ((n - 1) ) (n - 2) 1222879 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 4 7 14 n 4 7 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 141264 n ((n - 1) ) (n - 2) 1057419 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 3 n 16 n 2 n 25920 n ((n - 1) ) (n - 2) 55503416945 n ((n - 1) ) (n - 4) - ------------------------------ - ------------------------------------ 14 n 4 7 9 n 3 12 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 4) 12 n 2 n 4451269185 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 2747159712 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 16013212725 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 4 (n - 1) (n ) (n - 4) 15 n 2 n 29374731527 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 12 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 1036417680 n ((n - 1) ) (n - 4) 5994351 n ((n - 1) ) (n - 4) - ----------------------------------- + -------------------------------- 9 n 3 12 9 n 3 12 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 7925225 n ((n - 1) ) (n - 4) 63034355 n ((n - 1) ) (n - 4) - -------------------------------- - --------------------------------- 9 n 3 12 9 n 3 12 96 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 18 n 2 n 23978675105 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 192 (n - 1) (n ) (n - 4) 17 n 2 n 20534512039 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 48 (n - 1) (n ) (n - 4) 19 n 2 n 5536442725 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 12 192 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 4945462239 n ((n - 1) ) (n - 4) 179625600 n ((n - 1) ) (n - 4) + ----------------------------------- + --------------------------------- 9 n 3 12 9 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 48440479945 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 576 (n - 1) (n ) (n - 4) 17 n 2 n 4892228601 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 13 16 (n - 1) (n ) (n - 4) 16 n 2 n 125797331777 n ((n - 1) ) (n - 4) - ------------------------------------- 8 n 3 13 144 (n - 1) (n ) (n - 4) 12 n 2 n 4034722203 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 4) 11 n 2 n 2581907832 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 4) 14 n 2 n 13353979351 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 4 (n - 1) (n ) (n - 4) 15 n 2 n 23362550195 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 12 (n - 1) (n ) (n - 4) 10 n 2 n 1006480080 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 4307720787 n ((n - 1) ) (n - 4) 179625600 n ((n - 1) ) (n - 4) + ----------------------------------- + --------------------------------- 8 n 3 13 8 n 3 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 31 n ((n - 1) ) (n - 4) 995 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 8 n 3 13 8 n 3 13 192 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 24 n 2 n 22 n n 26021 n ((n - 1) ) (n - 4) 3079 n (n - 1) (n - 5) - ------------------------------ + -------------------------- 8 n 3 13 4 n 2 15 144 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 5) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 14 n 4 7 14 n 4 7 96 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 887 n ((n - 1) ) (n - 2) 5429 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 4 7 14 n 4 7 96 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 30053 n ((n - 1) ) (n - 2) 22379 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 4 7 14 n 4 7 32 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 24 n 2 n 23 n 2 n n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) + --------------------------- - --------------------------- 10 n 3 9 10 n 3 9 96 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 1435 n ((n - 1) ) (n - 3) 11161 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 96 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 235735 n ((n - 1) ) (n - 3) 447581 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 96 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 18 n 5 7 18 n 5 7 192 (n - 1) (n ) (n - 2) 192 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n 371 n ((n - 1) ) (n - 2) 15557 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 18 n 5 7 18 n 5 7 64 (n - 1) (n ) (n - 2) 192 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 149771 n ((n - 1) ) (n - 2) 351013 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 5 7 18 n 5 7 192 (n - 1) (n ) (n - 2) 64 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 5593115 n ((n - 1) ) (n - 2) 22889855 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 192 (n - 1) (n ) (n - 2) 192 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 759745 n ((n - 1) ) (n - 2) 45377395 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 2 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2515671 n ((n - 1) ) (n - 2) 1415988 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 21 n 4 n 10918363 n ((n - 1) ) (n - 2) 10985393 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 18 n 5 7 18 n 5 7 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 488592 n ((n - 1) ) (n - 2) 3069564 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 28 n 3 n 77760 n ((n - 1) ) (n - 2) 61 n ((n - 1) ) (n - 3) + ------------------------------ + ---------------------------- 18 n 5 7 14 n 4 9 (n - 1) (n ) (n - 2) 192 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 1721 n ((n - 1) ) (n - 3) 29833 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 14 n 4 9 14 n 4 9 192 (n - 1) (n ) (n - 3) 192 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 355955 n ((n - 1) ) (n - 3) 3102931 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 14 n 4 9 14 n 4 9 192 (n - 1) (n ) (n - 3) 192 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 6822361 n ((n - 1) ) (n - 3) 104355515 n ((n - 1) ) (n - 3) - -------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 64 (n - 1) (n ) (n - 3) 192 (n - 1) (n ) (n - 3) 29 n 3 n 21 n 4 20 n 4 n ((n - 1) ) (n - 3) n ((n - 1) ) n ((n - 1) ) - ---------------------------- - ------------------ + ----------------- 14 n 4 9 17 n 4 17 n 4 192 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) 2 (n - 1) (n ) 19 n 4 18 n 4 17 n 4 127 n ((n - 1) ) 389 n ((n - 1) ) 2027 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 17 n 4 17 n 4 17 n 4 24 (n - 1) (n ) 12 (n - 1) (n ) 16 (n - 1) (n ) 16 n 4 15 n 4 14 n 4 3931 n ((n - 1) ) 1121 n ((n - 1) ) 612 n ((n - 1) ) + -------------------- - -------------------- + ------------------- 17 n 4 17 n 4 17 n 4 12 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 13 n 4 14 n 13 n 387 n ((n - 1) ) 5 n (n - 4) 1601 n (n - 4) - ------------------- - -------------- + ----------------- 17 n 4 n 11 n 11 (n - 1) (n ) 4 n (n - 4) 48 n (n - 4) 12 n 11 n 10 n 1045 n (n - 4) 85481 n (n - 4) 149985 n (n - 4) - ----------------- + ------------------ - ------------------- n 11 n 11 n 11 2 n (n - 4) 16 n (n - 4) 4 n (n - 4) 9 n 8 n 7 n 8873843 n (n - 4) 643885 n (n - 4) 4706416 n (n - 4) + ------------------- - ------------------ + ------------------- n 11 n 11 n 11 48 n (n - 4) n (n - 4) 3 n (n - 4) 6 n 5 n 4 n 2601115 n (n - 4) 2776947 n (n - 4) 1706580 n (n - 4) - ------------------- + ------------------- - ------------------- n 11 n 11 n 11 n (n - 4) n (n - 4) n (n - 4) 15 n 3 n 18 n n n (n - 4) 453600 n (n - 4) 7 n (n - 1) (n - 3) + --------------- + ------------------ + --------------------------- n 11 n 11 5 n 2 10 48 n (n - 4) n (n - 4) 18 (n - 1) (n ) (n - 3) 17 n n 16 n n 1409 n (n - 1) (n - 3) 5269 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 10 5 n 2 10 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n 23219 n (n - 1) (n - 3) 30196 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 16 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n n 12 n n 7230227 n (n - 1) (n - 3) 6561457 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 11 n n 10 n n 4329625 n (n - 1) (n - 3) 8198831 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 3604643 n (n - 1) (n - 3) 1043584 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 533712 n (n - 1) (n - 3) 120960 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 1877309 n ((n - 1) ) (n - 2) 251531 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 15 n 4 6 15 n 4 6 288 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 18 n 3 n 26 n 3 n 1835137 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - -------------------------------- - ---------------------------- 15 n 4 6 15 n 4 6 36 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 7 n ((n - 1) ) (n - 2) 811 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 15 n 4 6 15 n 4 6 48 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 265 n ((n - 1) ) (n - 2) 76351 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 15 n 4 6 15 n 4 6 8 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 21 n 3 n 14 n 3 n 73271 n ((n - 1) ) (n - 2) 80304 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 15 n 4 6 15 n 4 6 48 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 31872 n ((n - 1) ) (n - 2) 2271125 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 15 n 4 6 15 n 4 6 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 15 n 3 n 12 n 3 n 367096 n ((n - 1) ) (n - 2) 5760 n ((n - 1) ) (n - 2) + ------------------------------- - ----------------------------- 15 n 4 6 15 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 19 n 18 n 93242 n ((n - 1) ) (n - 2) n (n - 5) 25 n (n - 5) + ------------------------------ + --------------- - --------------- 15 n 4 6 n 14 n 14 (n - 1) (n ) (n - 2) 96 n (n - 5) 24 n (n - 5) 17 n 16 n 15 n 143 n (n - 5) 31765 n (n - 5) 1196741 n (n - 5) + ---------------- - ------------------ + -------------------- n 14 n 14 n 14 3 n (n - 5) 24 n (n - 5) 48 n (n - 5) 14 n 13 n 12 n 8099455 n (n - 5) 40698229 n (n - 5) 618767435 n (n - 5) - -------------------- + --------------------- - ---------------------- n 14 n 14 n 14 24 n (n - 5) 12 n (n - 5) 24 n (n - 5) 11 n 10 n 14365627133 n (n - 5) 3986760635 n (n - 5) + ------------------------ - ----------------------- n 14 n 14 96 n (n - 5) 6 n (n - 5) 6 n 5 n 14203089270 n (n - 5) 12596209704 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 n (n - 5) n (n - 5) 8 n 9 n 34274227715 n (n - 5) 6739212844 n (n - 5) - ----------------------- + ---------------------- n 14 n 14 6 n (n - 5) 3 n (n - 5) 4 n 7 n 6637174560 n (n - 5) 21381576733 n (n - 5) - ---------------------- + ----------------------- n 14 n 14 n (n - 5) 2 n (n - 5) 3 n 23 n 3 n 1556755200 n (n - 5) 24351865 n ((n - 1) ) (n - 3) + ---------------------- - --------------------------------- n 14 12 n 4 11 n (n - 5) 864 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 46395575 n ((n - 1) ) (n - 3) 1234976215 n ((n - 1) ) (n - 3) + --------------------------------- - ----------------------------------- 12 n 4 11 12 n 4 11 288 (n - 1) (n ) (n - 3) 1728 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 2139242765 n ((n - 1) ) (n - 3) 964930163 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 12 n 4 11 12 n 4 11 864 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 3043621429 n ((n - 1) ) (n - 3) 90984589 n ((n - 1) ) (n - 3) + ----------------------------------- - --------------------------------- 12 n 4 11 12 n 4 11 216 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 165592847 n ((n - 1) ) (n - 3) 24306137 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 12 n 4 11 12 n 4 11 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 14637474 n ((n - 1) ) (n - 3) 5378760 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 12 n 4 11 12 n 4 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 27 n 2 n 907200 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) + ------------------------------- + ---------------------------- 12 n 4 11 8 n 3 13 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 310507 n ((n - 1) ) (n - 4) 12113969 n ((n - 1) ) (n - 4) + ------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 96 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 29644759 n ((n - 1) ) (n - 4) 12404795 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 72 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 19 n 2 n 21 n 6 10493876965 n ((n - 1) ) (n - 4) 218215 n ((n - 1) ) + ------------------------------------ - ---------------------- 8 n 3 13 27 n 6 576 (n - 1) (n ) (n - 4) (n - 1) (n ) 20 n 6 19 n 6 132660 n ((n - 1) ) 49680 n ((n - 1) ) + ---------------------- - --------------------- 27 n 6 27 n 6 (n - 1) (n ) (n - 1) (n ) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 10 n 3 7 10 n 3 7 144 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 343 n ((n - 1) ) (n - 2) 1199 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 16691 n ((n - 1) ) (n - 2) 27063 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 106051 n ((n - 1) ) (n - 2) 44384 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 238966 n ((n - 1) ) (n - 2) 99503 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 27324 n ((n - 1) ) (n - 2) 13296 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 19 n n 2880 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 10 n 3 7 5 n 2 10 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 1027 n ((n - 1) ) (n - 2) 13847 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 5 6 19 n 5 6 576 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 128917 n ((n - 1) ) (n - 2) 878621 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 19 n 5 6 19 n 5 6 576 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 4533545 n ((n - 1) ) (n - 2) 18061045 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 19 n 5 6 19 n 5 6 576 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 323472 n ((n - 1) ) (n - 2) 110016 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 19 n 5 6 19 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 4347517 n ((n - 1) ) (n - 2) 583792 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 19 n 5 6 19 n 5 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 17280 n ((n - 1) ) (n - 2) 23628337 n ((n - 1) ) (n - 2) + ------------------------------ - --------------------------------- 19 n 5 6 19 n 5 6 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 29 n 3 n 28 n 3 n n ((n - 1) ) (n - 3) 19 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 15 n 4 8 15 n 4 8 1728 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 503 n ((n - 1) ) (n - 3) 8215 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 15 n 4 8 15 n 4 8 576 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 10301 n ((n - 1) ) (n - 3) 767245 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 15 n 4 8 15 n 4 8 64 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 14464927 n ((n - 1) ) (n - 3) 23501477 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 1728 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 22484821 n ((n - 1) ) (n - 3) 67938557 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 13503781 n ((n - 1) ) (n - 3) 75824471 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 12 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 82475629 n ((n - 1) ) (n - 3) 10077929 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 27 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 8111600 n ((n - 1) ) (n - 3) 1499872 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 15 n 4 8 15 n 4 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 511488 n ((n - 1) ) (n - 3) 80640 n ((n - 1) ) (n - 3) - ------------------------------- + ------------------------------ 15 n 4 8 15 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 22 n 19 n 10475 n (n - 6) 25 n (n - 6) 2258351 n (n - 6) + ------------------ - ---------------- + -------------------- n 17 n 17 n 17 1728 n (n - 6) 288 n (n - 6) 288 n (n - 6) 20 n 23 n 18 n 75415 n (n - 6) n (n - 6) 8299315 n (n - 6) - ------------------ + ----------------- - -------------------- n 17 n 17 n 17 288 n (n - 6) 1728 n (n - 6) 48 n (n - 6) 17 n 16 n 2514603875 n (n - 6) 5510228615 n (n - 6) + ----------------------- - ----------------------- n 17 n 17 864 n (n - 6) 144 n (n - 6) 15 n 14 n 689068603301 n (n - 6) 957105541405 n (n - 6) + ------------------------- - ------------------------- n 17 n 17 1728 n (n - 6) 288 n (n - 6) 13 n 12 n 12815607813125 n (n - 6) 11496585300265 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 576 n (n - 6) 96 n (n - 6) 11 n 10 n 55809768372661 n (n - 6) 63930789769865 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 108 n (n - 6) 36 n (n - 6) 6 n 5 n 18301613818520 n (n - 6) 14315779485600 n (n - 6) - -------------------------- + -------------------------- n 17 n 17 n (n - 6) n (n - 6) 8 n 9 n 181321868222035 n (n - 6) 519105720568475 n (n - 6) - --------------------------- + --------------------------- n 17 n 17 18 n (n - 6) 108 n (n - 6) 4 n 7 n 6776749728000 n (n - 6) 47808240558566 n (n - 6) - ------------------------- + -------------------------- n 17 n 17 n (n - 6) 3 n (n - 6) 3 n 23 n 4 22 n 4 1452971520000 n (n - 6) n ((n - 1) ) 2 n ((n - 1) ) + ------------------------- - ------------------- + ------------------ n 17 19 n 4 19 n 4 n (n - 6) 432 (n - 1) (n ) 27 (n - 1) (n ) 21 n 4 20 n 4 19 n 4 77 n ((n - 1) ) 331 n ((n - 1) ) 7531 n ((n - 1) ) - ------------------ + ------------------- - -------------------- 19 n 4 19 n 4 19 n 4 72 (n - 1) (n ) 36 (n - 1) (n ) 144 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 7439 n ((n - 1) ) 31249 n ((n - 1) ) 31012 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 19 n 4 19 n 4 19 n 4 36 (n - 1) (n ) 54 (n - 1) (n ) 27 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 14251 n ((n - 1) ) 1444 n ((n - 1) ) 784 n ((n - 1) ) - --------------------- + -------------------- - ------------------- 19 n 4 19 n 4 19 n 4 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 16 n 15 n n (n - 4) 83 n (n - 4) 3113 n (n - 4) + ---------------- - ---------------- + ----------------- n 13 n 13 n 13 432 n (n - 4) 432 n (n - 4) 432 n (n - 4) 14 n 13 n 12 n 69823 n (n - 4) 348205 n (n - 4) 3669523 n (n - 4) - ------------------ + ------------------- - -------------------- n 13 n 13 n 13 432 n (n - 4) 144 n (n - 4) 144 n (n - 4) 11 n 10 n 6 n 84120179 n (n - 4) 472581109 n (n - 4) 45435949 n (n - 4) + --------------------- - ---------------------- - -------------------- n 13 n 13 n 13 432 n (n - 4) 432 n (n - 4) n (n - 4) 5 n 8 n 9 n 45140216 n (n - 4) 371029373 n (n - 4) 489374743 n (n - 4) + -------------------- - --------------------- + --------------------- n 13 n 13 n 13 n (n - 4) 27 n (n - 4) 108 n (n - 4) 4 n 7 n 3 n 26189040 n (n - 4) 269684896 n (n - 4) 6652800 n (n - 4) - -------------------- + --------------------- + ------------------- n 13 n 13 n 13 n (n - 4) 9 n (n - 4) n (n - 4) 13 n 12 n 11 n 10 n n (n - 3) 47 n (n - 3) 40 n (n - 3) 1865 n (n - 3) + --------------- - --------------- + --------------- - ----------------- n 10 n 10 n 10 n 10 24 n (n - 3) 24 n (n - 3) n (n - 3) 4 n (n - 3) 9 n 8 n 7 n 27391 n (n - 3) 131957 n (n - 3) 631165 n (n - 3) + ----------------- - ------------------ + ------------------ n 10 n 10 n 10 8 n (n - 3) 8 n (n - 3) 12 n (n - 3) 6 n 5 n 4 n 655015 n (n - 3) 140499 n (n - 3) 100668 n (n - 3) - ------------------ + ------------------ - ------------------ n 10 n 10 n 10 6 n (n - 3) n (n - 3) n (n - 3) 3 n n 9 n 8 n 7 30240 n (n - 3) (n - 2) n 7 (n - 2) n 175 (n - 2) n + ----------------- + -------------- - ------------- + --------------- n 10 7 n 7 n 7 n n (n - 3) 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n n 6 n 5 n 4 n 3 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n - --------------- + --------------- - --------------- + -------------- 7 n 7 n 7 n 7 n 4 (n - 2) n 3 (n - 2) n (n - 2) n (n - 2) n 15 n 5 28 n 5 27 n 5 1728 n ((n - 1) ) n ((n - 1) ) 37 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 23 n 5 23 n 5 23 n 5 (n - 1) (n ) 288 (n - 1) (n ) 288 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 157 n ((n - 1) ) 1079 n ((n - 1) ) 5025 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 23 n 5 23 n 5 23 n 5 72 (n - 1) (n ) 48 (n - 1) (n ) 32 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 75355 n ((n - 1) ) 415945 n ((n - 1) ) 71305 n ((n - 1) ) - --------------------- + ---------------------- - --------------------- 23 n 5 23 n 5 23 n 5 96 (n - 1) (n ) 144 (n - 1) (n ) 9 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 145780 n ((n - 1) ) 146275 n ((n - 1) ) 26257 n ((n - 1) ) + ---------------------- - ---------------------- + --------------------- 23 n 5 23 n 5 23 n 5 9 (n - 1) (n ) 6 (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 27 n 5 19164 n ((n - 1) ) 8496 n ((n - 1) ) n ((n - 1) ) - --------------------- + -------------------- + ------------------ 23 n 5 23 n 5 22 n 5 (n - 1) (n ) (n - 1) (n ) 96 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 11 n ((n - 1) ) 31 n ((n - 1) ) 2245 n ((n - 1) ) - ------------------ + ------------------ - -------------------- 22 n 5 22 n 5 22 n 5 32 (n - 1) (n ) 6 (n - 1) (n ) 48 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 27265 n ((n - 1) ) 117005 n ((n - 1) ) 60645 n ((n - 1) ) + --------------------- - ---------------------- + --------------------- 22 n 5 22 n 5 22 n 5 96 (n - 1) (n ) 96 (n - 1) (n ) 16 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 103285 n ((n - 1) ) 14165 n ((n - 1) ) 32955 n ((n - 1) ) - ---------------------- + --------------------- - --------------------- 22 n 5 22 n 5 22 n 5 12 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) 17 n 5 16 n 5 12861 n ((n - 1) ) 6048 n ((n - 1) ) + --------------------- - -------------------- 22 n 5 22 n 5 (n - 1) (n ) (n - 1) (n ) 22 n n 21 n n 14239 n (n - 1) (n - 5) 609733 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 5 n 2 14 5 n 2 14 48 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 20 n n 19 n n 9558757 n (n - 1) (n - 5) 85305773 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 14 5 n 2 14 96 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 18 n n 17 n n 1576282279 n (n - 1) (n - 5) 15294678035 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 5 n 2 14 5 n 2 14 144 (n - 1) (n ) (n - 5) 192 (n - 1) (n ) (n - 5) 16 n n 15 n n 88414895855 n (n - 1) (n - 5) 203776053611 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 192 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 14 n n 13 n n 187189517411 n (n - 1) (n - 5) 409367051381 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 24 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 9 n n 8 n n 121611153504 n (n - 1) (n - 5) 81481061376 n (n - 1) (n - 5) - --------------------------------- + -------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 185160473841 n (n - 1) (n - 5) 1877133244513 n (n - 1) (n - 5) - ---------------------------------- + ----------------------------------- 5 n 2 14 5 n 2 14 2 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 7 n n 10 n n 33294637440 n (n - 1) (n - 5) 124310383952 n (n - 1) (n - 5) - -------------------------------- + ---------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 19 n 2 n 6227020800 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) + ------------------------------- + -------------------------- 5 n 2 14 8 n 3 7 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 31 n ((n - 1) ) (n - 2) 211 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 1661 n ((n - 1) ) (n - 2) 16745 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 56455 n ((n - 1) ) (n - 2) 8053 n ((n - 1) ) (n - 2) - ------------------------------ + ----------------------------- 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 12273 n ((n - 1) ) (n - 2) 11934 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 6669 n ((n - 1) ) (n - 2) 1620 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n n 16 n n n (n - 1) (n - 3) 43 n (n - 1) (n - 3) - -------------------------- + -------------------------- 4 n 2 9 4 n 2 9 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n n 14 n n 407 n (n - 1) (n - 3) 4473 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 9 4 n 2 9 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n n 63369 n (n - 1) (n - 3) 303555 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 4 n 2 9 4 n 2 9 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 11 n n 10 n n 125341 n (n - 1) (n - 3) 142649 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 219050 n (n - 1) (n - 3) 215817 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 122508 n (n - 1) (n - 3) 30240 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 6 n 5 n 28671863 n (n - 4) 94167636 n (n - 4) 96758991 n (n - 4) + --------------------- + -------------------- - -------------------- n 12 n 12 n 12 16 n (n - 4) n (n - 4) n (n - 4) 8 n 9 n 4 n 25954621 n (n - 4) 128518753 n (n - 4) 57677940 n (n - 4) + -------------------- - --------------------- + -------------------- n 12 n 12 n 12 n (n - 4) 16 n (n - 4) n (n - 4) 15 n 16 n 14 n 71 n (n - 4) n (n - 4) 2261 n (n - 4) - --------------- + --------------- + ----------------- n 12 n 12 n 12 16 n (n - 4) 16 n (n - 4) 16 n (n - 4) 12 n 11 n 13 n 532323 n (n - 4) 4620693 n (n - 4) 42691 n (n - 4) + ------------------- - -------------------- - ------------------ n 12 n 12 n 12 16 n (n - 4) 16 n (n - 4) 16 n (n - 4) 7 n 3 n 33 n 6 59573921 n (n - 4) 14968800 n (n - 4) 5 n ((n - 1) ) - -------------------- - -------------------- - -------------------- n 12 n 12 27 n 6 n (n - 4) n (n - 4) 1728 (n - 1) (n ) 32 n 6 31 n 6 30 n 6 35 n ((n - 1) ) 455 n ((n - 1) ) 12295 n ((n - 1) ) + ------------------- - ------------------- + --------------------- 27 n 6 27 n 6 27 n 6 288 (n - 1) (n ) 192 (n - 1) (n ) 432 (n - 1) (n ) 29 n 6 28 n 6 135605 n ((n - 1) ) 409195 n ((n - 1) ) - ---------------------- + ---------------------- 27 n 6 27 n 6 576 (n - 1) (n ) 288 (n - 1) (n ) 27 n 6 26 n 6 11167825 n ((n - 1) ) 45125 n ((n - 1) ) - ------------------------ + --------------------- 27 n 6 27 n 6 1728 (n - 1) (n ) 2 (n - 1) (n ) 25 n 6 24 n 6 8777125 n ((n - 1) ) 13761425 n ((n - 1) ) - ----------------------- + ------------------------ 27 n 6 27 n 6 144 (n - 1) (n ) 108 (n - 1) (n ) 23 n 6 22 n 6 2453395 n ((n - 1) ) 247270 n ((n - 1) ) - ----------------------- + ---------------------- 27 n 6 27 n 6 12 (n - 1) (n ) (n - 1) (n ) 20 n n 19 n n 589 n (n - 1) (n - 4) 42943 n (n - 1) (n - 4) - --------------------------- + ---------------------------- 4 n 2 13 4 n 2 13 48 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 18 n n 17 n n 176551 n (n - 1) (n - 4) 2775097 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 4 n 2 13 4 n 2 13 36 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 16 n n 15 n n 72715357 n (n - 1) (n - 4) 479616709 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 13 4 n 2 13 144 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 14 n n 13 n n 1608375197 n (n - 1) (n - 4) 9279725741 n (n - 1) (n - 4) - -------------------------------- + -------------------------------- 4 n 2 13 4 n 2 13 96 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 9 n n 8 n n 786758721 n (n - 1) (n - 4) 612658944 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 833135589 n (n - 1) (n - 4) 6796527335 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 4 n 2 13 4 n 2 13 2 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 7 n n 10 n n 285597360 n (n - 1) (n - 4) 1356329675 n (n - 1) (n - 4) + ------------------------------ - -------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 6 n n 22 n n 59875200 n (n - 1) (n - 4) n (n - 1) (n - 4) - ----------------------------- - ---------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 26 n 4 n 25 n 4 n 113371 n ((n - 1) ) (n - 2) 1880645 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 17 n 5 8 17 n 5 8 48 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 7987835 n ((n - 1) ) (n - 2) 35119715 n ((n - 1) ) (n - 2) - -------------------------------- + --------------------------------- 17 n 5 8 17 n 5 8 144 (n - 1) (n ) (n - 2) 192 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 39605 n ((n - 1) ) (n - 3) 2202743 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 13 n 4 10 13 n 4 10 16 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 23 n 3 n 29 n 3 n 15385759 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - --------------------------------- - ----------------------------- 13 n 4 10 13 n 4 10 96 (n - 1) (n ) (n - 3) 192 (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n 11 n ((n - 1) ) (n - 3) 1003 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 13 n 4 10 13 n 4 10 32 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 26 n 3 n 22 n 3 n 18649 n ((n - 1) ) (n - 3) 27578865 n ((n - 1) ) (n - 3) + ------------------------------ + --------------------------------- 13 n 4 10 13 n 4 10 96 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 693738115 n ((n - 1) ) (n - 3) 285126155 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 192 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 490250973 n ((n - 1) ) (n - 3) 369859453 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 16 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 382212567 n ((n - 1) ) (n - 3) 111719154 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 95120775 n ((n - 1) ) (n - 3) 55550448 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 19853424 n ((n - 1) ) (n - 3) 3265920 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 9 n 3 7 9 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 273 n ((n - 1) ) (n - 2) 2505 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 9 n 3 7 9 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 30033 n ((n - 1) ) (n - 2) 123435 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 9 n 3 7 9 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 88667 n ((n - 1) ) (n - 2) 44485 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 61026 n ((n - 1) ) (n - 2) 54405 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 28296 n ((n - 1) ) (n - 2) 6480 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n n 19 n n 27211 n (n - 1) (n - 4) 1311 n (n - 1) (n - 4) + --------------------------- - --------------------------- 4 n 2 12 4 n 2 12 16 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 17 n n 15 n n 47459 n (n - 1) (n - 4) 27484633 n (n - 1) (n - 4) - --------------------------- - ------------------------------ 4 n 2 12 4 n 2 12 2 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 14 n n 16 n n 149801113 n (n - 1) (n - 4) 3769227 n (n - 1) (n - 4) + ------------------------------- + ----------------------------- 4 n 2 12 4 n 2 12 16 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 10 n n 6 n n 925040697 n (n - 1) (n - 4) 44906400 n (n - 1) (n - 4) + ------------------------------- + ----------------------------- 4 n 2 12 4 n 2 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n n 20 n n n (n - 1) (n - 4) 19 n (n - 1) (n - 4) - --------------------------- + -------------------------- 4 n 2 12 4 n 2 12 32 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 79378283 n ((n - 1) ) (n - 3) 38892917 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 12 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 37551629 n ((n - 1) ) (n - 3) 19441377 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 13576536 n ((n - 1) ) (n - 3) 5710608 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 29 n 3 n 1088640 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------- - ------------------------------ 9 n 3 10 12 n 4 11 (n - 1) (n ) (n - 3) 1728 (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 1189 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 12 n 4 11 12 n 4 11 24 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 23923 n ((n - 1) ) (n - 3) 3041 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 12 n 4 11 12 n 4 11 864 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 24 n 3 n 12 n 4 3265331 n ((n - 1) ) (n - 3) 192 n ((n - 1) ) + -------------------------------- + ------------------- 12 n 4 11 19 n 4 864 (n - 1) (n ) (n - 3) (n - 1) (n ) 22 n 4 n 21 n 4 n 33827705 n ((n - 1) ) (n - 2) 134903269 n ((n - 1) ) (n - 2) - --------------------------------- + ---------------------------------- 17 n 5 8 17 n 5 8 72 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 8607887 n ((n - 1) ) (n - 2) 6614567 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 17 n 5 8 17 n 5 8 6 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 1386306 n ((n - 1) ) (n - 2) 796671 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 17 n 5 8 17 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 280152 n ((n - 1) ) (n - 2) 45360 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 17 n 5 8 17 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 31 n 4 n 30 n 4 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 17 n 5 8 17 n 5 8 576 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n 13 n ((n - 1) ) (n - 2) 4589 n ((n - 1) ) (n - 2) + --------------------------- - ----------------------------- 17 n 5 8 17 n 5 8 6 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 27 n 4 n 12 n 11 n 92623 n ((n - 1) ) (n - 2) n (n - 3) 19 n (n - 3) + ------------------------------ + ------------- - --------------- 17 n 5 8 n 9 n 9 288 (n - 1) (n ) (n - 2) 8 n (n - 3) 4 n (n - 3) 10 n 9 n 8 n 309 n (n - 3) 1407 n (n - 3) 31521 n (n - 3) + ---------------- - ---------------- + ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) 8 n (n - 3) 7 n 6 n 5 n 56091 n (n - 3) 63173 n (n - 3) 43229 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) n (n - 3) 4 n 3 n 22 n n 32436 n (n - 3) 10080 n (n - 3) n (n - 1) (n - 4) + ----------------- - ----------------- - --------------------------- n 9 n 9 5 n 2 12 n (n - 3) n (n - 3) 96 (n - 1) (n ) (n - 4) 21 n n 20 n n 5 n (n - 1) (n - 4) 1463 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 12 5 n 2 12 6 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 52053905 n ((n - 1) ) (n - 3) 327020135 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 24 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 50536309 n ((n - 1) ) (n - 3) 391164701 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 3 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 146257754 n ((n - 1) ) (n - 3) 55158459 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 14 n 4 9 14 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 45571260 n ((n - 1) ) (n - 3) 25892208 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 9025344 n ((n - 1) ) (n - 3) 1451520 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 27 n 2 n 26 n 2 n n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 10 n 3 11 10 n 3 11 576 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 25 n 2 n 23 n 2 n 469 n ((n - 1) ) (n - 4) 26469 n ((n - 1) ) (n - 4) + ---------------------------- + ------------------------------ 10 n 3 11 10 n 3 11 96 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 22 n 2 n 24 n 2 n 1774213 n ((n - 1) ) (n - 4) 10399 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------ 10 n 3 11 10 n 3 11 96 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 98692925 n ((n - 1) ) (n - 4) 1018969465 n ((n - 1) ) (n - 4) - --------------------------------- + ----------------------------------- 10 n 3 11 10 n 3 11 96 (n - 1) (n ) (n - 4) 192 (n - 1) (n ) (n - 4) 18 n 2 n 1041537805 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 48 (n - 1) (n ) (n - 4) 17 n 2 n 1126937731 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 16 (n - 1) (n ) (n - 4) 16 n 2 n 2172885811 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 12 (n - 1) (n ) (n - 4) 15 n 2 n 13172916709 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 11 36 (n - 1) (n ) (n - 4) 14 n 2 n 13 n 2 n 573235569 n ((n - 1) ) (n - 4) 680633729 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 11 10 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 590735028 n ((n - 1) ) (n - 4) 352660176 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 11 10 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 129090240 n ((n - 1) ) (n - 4) 45084083 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 10 n 3 11 10 n 3 11 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 9 n 2 n 16 n n 21772800 n ((n - 1) ) (n - 4) 1201 n (n - 1) (n - 3) + -------------------------------- - --------------------------- 10 n 3 11 4 n 2 10 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 3) 15 n n 14 n n 1017 n (n - 1) (n - 3) 143883 n (n - 1) (n - 3) + -------------------------- - ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 13 n n 12 n n 218469 n (n - 1) (n - 3) 3734723 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 11 n n 10 n n 1413367 n (n - 1) (n - 3) 1502891 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 4 n 2 10 4 n 2 10 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 2187267 n (n - 1) (n - 3) 2064861 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 1132812 n (n - 1) (n - 3) 272160 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n n 17 n n n (n - 1) (n - 3) 13 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 10 4 n 2 10 16 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n n 9 n n 4360130225 n (n - 1) (n - 4) 884971215 n (n - 1) (n - 4) + -------------------------------- + ------------------------------ 5 n 2 12 5 n 2 12 48 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 11 n n 659426904 n (n - 1) (n - 4) 3116100565 n (n - 1) (n - 4) - ------------------------------ + -------------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 12 n n 7 n n 2995862401 n (n - 1) (n - 4) 295576560 n (n - 1) (n - 4) - -------------------------------- + ------------------------------ 5 n 2 12 5 n 2 12 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 19 n n 122129 n (n - 1) (n - 4) 32455 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 5 n 2 12 5 n 2 12 12 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 17 n n 15 n n 5287915 n (n - 1) (n - 4) 259739645 n (n - 1) (n - 4) + ----------------------------- + ------------------------------- 5 n 2 12 5 n 2 12 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 14 n n 16 n n 2428307783 n (n - 1) (n - 4) 42561541 n (n - 1) (n - 4) - -------------------------------- - ------------------------------ 5 n 2 12 5 n 2 12 96 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 10 n n 6 n n 1602213833 n (n - 1) (n - 4) 59875200 n (n - 1) (n - 4) - -------------------------------- - ----------------------------- 5 n 2 12 5 n 2 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 4 n 22 n 4 n 28064335 n ((n - 1) ) (n - 2) 17059955 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 19 n 5 6 19 n 5 6 288 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 21 n 4 n 31 n 4 n 4042079 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + -------------------------------- + ---------------------------- 19 n 5 6 19 n 5 6 9 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 30 n 4 n 15 n n 47 n ((n - 1) ) (n - 2) n (n - 1) (n - 2) - ---------------------------- - -------------------------- 19 n 5 6 5 n 2 7 576 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n n 11 n n 120 n (n - 1) (n - 2) 4431 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 10 n n 9 n n 6615 n (n - 1) (n - 2) 19115 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 8 n n 7 n n 3805 n (n - 1) (n - 2) 2544 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 18 n 2 n 720 n (n - 1) (n - 2) 10101053 n ((n - 1) ) (n - 3) + ------------------------ + --------------------------------- 5 n 2 7 10 n 3 9 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 21554153 n ((n - 1) ) (n - 3) 4383856 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 48 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 21750859 n ((n - 1) ) (n - 3) 40784669 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 9 10 n 3 9 6 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 28368101 n ((n - 1) ) (n - 3) 9440332 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 6379056 n ((n - 1) ) (n - 3) 2605248 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 21 n n 483840 n ((n - 1) ) (n - 3) 11 n (n - 1) (n - 4) - ------------------------------ + --------------------------- 10 n 3 9 4 n 2 13 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 4) 27 n 2 n 26 n 2 n n ((n - 1) ) (n - 4) 85 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 9 n 3 12 9 n 3 12 192 (n - 1) (n ) (n - 4) 192 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 833 n ((n - 1) ) (n - 4) 20005 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 9 n 3 12 9 n 3 12 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 23 n 2 n 25 n n 659569 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) + ------------------------------- - ---------------------------- 9 n 3 12 5 n 2 14 96 (n - 1) (n ) (n - 4) 576 (n - 1) (n ) (n - 5) 24 n n 23 n n 109 n (n - 1) (n - 5) 917 n (n - 1) (n - 5) + ---------------------------- - --------------------------- 5 n 2 14 5 n 2 14 576 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 23 n n 21 n n 91 n (n - 1) (n - 5) 860633 n (n - 1) (n - 5) - -------------------------- - ---------------------------- 4 n 2 15 4 n 2 15 8 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 20 n n 19 n n 14652487 n (n - 1) (n - 5) 283430521 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 4 n 2 15 4 n 2 15 96 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 18 n n 17 n n 2831121839 n (n - 1) (n - 5) 9873099145 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 4 n 2 15 4 n 2 15 144 (n - 1) (n ) (n - 5) 64 (n - 1) (n ) (n - 5) 16 n n 15 n n 61354399535 n (n - 1) (n - 5) 227276963693 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 4 n 2 15 4 n 2 15 64 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 14 n n 13 n n 891703555327 n (n - 1) (n - 5) 518650825603 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 4 n 2 15 4 n 2 15 48 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 379672418004 n (n - 1) (n - 5) 265347538416 n (n - 1) (n - 5) - --------------------------------- + --------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 262465668283 n (n - 1) (n - 5) 5040997473533 n (n - 1) (n - 5) - ---------------------------------- + ----------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 7 n n 10 n n 112639343040 n (n - 1) (n - 5) 370571027707 n (n - 1) (n - 5) - --------------------------------- + ---------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 25 n n 21794572800 n (n - 1) (n - 5) n (n - 1) (n - 5) + -------------------------------- - ---------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 24 n n 19 n 20 n 119 n (n - 1) (n - 5) 19 n (n - 5) n (n - 5) + ---------------------------- - --------------- + ---------------- 4 n 2 15 n 15 n 15 576 (n - 1) (n ) (n - 5) 48 n (n - 5) 288 n (n - 5) 18 n 17 n 16 n 83 n (n - 5) 5309 n (n - 5) 695387 n (n - 5) + --------------- - ----------------- + ------------------- n 15 n 15 n 15 4 n (n - 5) 8 n (n - 5) 48 n (n - 5) 15 n 14 n 13 n 915369 n (n - 5) 48697207 n (n - 5) 586105949 n (n - 5) - ------------------- + --------------------- - ---------------------- n 15 n 15 n 15 4 n (n - 5) 18 n (n - 5) 24 n (n - 5) 12 n 11 n 5446289277 n (n - 5) 14717052779 n (n - 5) + ----------------------- - ------------------------ n 15 n 15 32 n (n - 5) 16 n (n - 5) 10 n 6 n 11548845763 n (n - 5) 70479819828 n (n - 5) + ------------------------ + ----------------------- n 15 n 15 3 n (n - 5) n (n - 5) 5 n 8 n 60994703472 n (n - 5) 543983918209 n (n - 5) - ----------------------- + ------------------------ n 15 n 15 n (n - 5) 18 n (n - 5) 9 n 4 n 24774687483 n (n - 5) 31492399680 n (n - 5) - ----------------------- + ----------------------- n 15 n 15 2 n (n - 5) n (n - 5) 7 n 3 n 163874126401 n (n - 5) 7264857600 n (n - 5) - ------------------------ - ---------------------- n 15 n 15 3 n (n - 5) n (n - 5) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - ------------------------- + -------------------------- 5 n 2 9 5 n 2 9 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 14 n n 13 n n 99153 n (n - 1) (n - 3) 557031 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 12 n n 11 n n 554237 n (n - 1) (n - 3) 393331 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 789646 n (n - 1) (n - 3) 1092017 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 985776 n (n - 1) (n - 3) 520272 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 120960 n (n - 1) (n - 3) - --------------------------- 5 n 2 9 (n - 1) (n ) (n - 3) and in Maple notation -1/32*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+5/4*n^24*((n-1)^n)^3/(n -1)^13/(n^n)^4*(n-2)^n/(n-2)^7-727/32*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n /(n-2)^7+3975/16*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-58359/32*n^ 21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+75915/8*n^20*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-2)^n/(n-2)^7-1152041/32*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n /(n-2)^7-666477/2*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+237195*n^14 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-832903/4*n^17*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-2)^n/(n-2)^7+1612855/16*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n /(n-2)^7-101088*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+626445/2*n^16 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+19440*n^12*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-2)^n/(n-2)^7+1/32*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-13 /8*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+1227/32*n^21*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-3)^n/(n-3)^9-8707/16*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/ (n-3)^9+166079/32*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-140751/4*n^ 18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+5597021/32*n^17*((n-1)^n)^2/(n-1 )^9/(n^n)^3*(n-3)^n/(n-3)^9-10360111/16*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^ n/(n-3)^9+7175313/4*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-7400233/2* n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+11183737/2*n^13*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-3)^n/(n-3)^9-6000627*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/ (n-3)^9+4318488*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-1863216*n^10*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+362880*n^9*((n-1)^n)^2/(n-1)^9/(n^n) ^3*(n-3)^n/(n-3)^9+23/32*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-2167/96* n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-1/96*n^21*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^11-525229/96*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+ 1599437/32*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/96*n^15*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673/32*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^11-313688287/48*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+ 75796589/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-123643741/3*n^11*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+131979421/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^11-75220101*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+57550104*n ^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-26375760*n^7*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^11+13691/32*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+ 5443200*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-1632377/96*n^19*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+4760489/96*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^8-5100619/48*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+ 165216*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-181068*n^15*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+264699/2*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*( n-2)^n/(n-2)^8-57753*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+11340*n^ 12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-1/96*n^25*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-2)^n/(n-2)^8+43/96*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8 -835/96*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+3233/32*n^22*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-25071/32*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^8+137107/32*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-57 /32*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+1467/32*n^21*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-22589/32*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^10+1/32*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+232449/32*n ^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-1690923/32*n^18*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-3)^n/(n-3)^10+8967401/32*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^10-35223807/32*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+ 51494637/16*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-13941823/2*n^14*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+11009271*n^13*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^10-24580719/2*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^10+9162693*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-4078836*n^10*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+816480*n^9*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^10-1229898879/32*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12 -1106478711/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+441956223*n^8*(n-1)^ n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-547764967/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^12+1900332467/16*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-\ 210455820*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1296*n^15*((n-1)^n)^5/(n -1)^22/(n^n)^5+8640*n^18*((n-1)^n)^6/(n-1)^27/(n^n)^6+108*n^12*((n-1)^n)^4/(n-1 )^17/(n^n)^4-1/8*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/4*n^13*(n-1)^n /(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-143/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-\ 2)^7+217*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/8*n^10*(n-1)^n/(n-1) ^4/(n^n)^2*(n-2)^n/(n-2)^7+7147/4*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-\ 4821/2*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+1773*n^7*(n-1)^n/(n-1)^4/(n^ n)^2*(n-2)^n/(n-2)^7-540*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+565/32*n^ 22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-28457/96*n^21*((n-1)^n)^2/(n-1) ^9/(n^n)^3*(n-3)^n/(n-3)^10+322805/96*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/ (n-3)^10+1/96*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-61/96*n^23*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-873573/32*n^19*((n-1)^n)^2/(n-1)^9/(n^ n)^3*(n-3)^n/(n-3)^10+15731093/96*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3 )^10-71093411/96*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+40647417/16* n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-2366681/96*n^20*((n-1)^n)^3/( n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+3916937/48*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n -2)^n/(n-2)^7+523383*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-349956*n ^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+2292251/6*n^17*((n-1)^n)^3/(n-\ 1)^14/(n^n)^4*(n-2)^n/(n-2)^7-1222879/6*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2) ^n/(n-2)^7+141264*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-1057419/2*n ^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-25920*n^12*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-2)^n/(n-2)^7-55503416945/48*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4 )^n/(n-4)^12-4451269185*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+ 2747159712*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-16013212725/4*n^14 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+29374731527/12*n^15*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-1036417680*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 4)^n/(n-4)^12+5994351/8*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-\ 7925225/96*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-63034355/12*n^20*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-23978675105/192*n^18*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-4)^n/(n-4)^12+20534512039/48*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-4)^n/(n-4)^12+5536442725/192*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^ 12+4945462239*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+179625600*n^9*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-48440479945/576*n^18*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^13+4892228601/16*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^13-125797331777/144*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4) ^13-4034722203*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+2581907832*n^ 11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-13353979351/4*n^14*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+23362550195/12*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-4)^n/(n-4)^13-1006480080*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13 +4307720787*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+179625600*n^9*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-31/192*n^26*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-4)^n/(n-4)^13+995/144*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-\ 26021/144*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+3079/8*n^22*(n-1)^n /(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-1/96*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^ n/(n-2)^7+11/24*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-887/96*n^24*( (n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+5429/48*n^23*((n-1)^n)^3/(n-1)^14/( n^n)^4*(n-2)^n/(n-2)^7-30053/32*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2) ^7+22379/4*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+1/96*n^24*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-7/12*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 3)^n/(n-3)^9+1435/96*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-11161/48 *n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+235735/96*n^20*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-447581/24*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 3)^n/(n-3)^9+1/192*n^31*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-49/192*n^ 30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+371/64*n^29*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-2)^n/(n-2)^7-15557/192*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/ (n-2)^7+149771/192*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-351013/64* n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+5593115/192*n^25*((n-1)^n)^4/ (n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-22889855/192*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-2)^n/(n-2)^7+759745/2*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-\ 45377395/48*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-2515671*n^18*((n-\ 1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+1415988*n^17*((n-1)^n)^4/(n-1)^18/(n^n )^5*(n-2)^n/(n-2)^7-10918363/4*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^ 7+10985393/6*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-488592*n^16*((n-\ 1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+3069564*n^19*((n-1)^n)^4/(n-1)^18/(n^n )^5*(n-2)^n/(n-2)^7+77760*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+61/ 192*n^28*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-1721/192*n^27*((n-1)^n)^3 /(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+29833/192*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*( n-3)^n/(n-3)^9-355955/192*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+ 3102931/192*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-6822361/64*n^23*( (n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+104355515/192*n^22*((n-1)^n)^3/(n-1 )^14/(n^n)^4*(n-3)^n/(n-3)^9-1/192*n^29*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n -3)^9-1/48*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+1/2*n^20*((n-1)^n)^4/(n-1)^17/(n^n )^4-127/24*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+389/12*n^18*((n-1)^n)^4/(n-1)^17/( n^n)^4-2027/16*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^4+3931/12*n^16*((n-1)^n)^4/(n-1) ^17/(n^n)^4-1121/2*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^4+612*n^14*((n-1)^n)^4/(n-1) ^17/(n^n)^4-387*n^13*((n-1)^n)^4/(n-1)^17/(n^n)^4-5/4/(n^n)*n^14*(n-4)^n/(n-4)^ 11+1601/48/(n^n)*n^13*(n-4)^n/(n-4)^11-1045/2/(n^n)*n^12*(n-4)^n/(n-4)^11+85481 /16/(n^n)*n^11*(n-4)^n/(n-4)^11-149985/4/(n^n)*n^10*(n-4)^n/(n-4)^11+8873843/48 /(n^n)*n^9*(n-4)^n/(n-4)^11-643885/(n^n)*n^8*(n-4)^n/(n-4)^11+4706416/3/(n^n)*n ^7*(n-4)^n/(n-4)^11-2601115/(n^n)*n^6*(n-4)^n/(n-4)^11+2776947/(n^n)*n^5*(n-4)^ n/(n-4)^11-1706580/(n^n)*n^4*(n-4)^n/(n-4)^11+1/48/(n^n)*n^15*(n-4)^n/(n-4)^11+ 453600/(n^n)*n^3*(n-4)^n/(n-4)^11+7/18*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^10-1409/144*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+5269/36*n^16*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-23219/16*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^10+30196/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-7230227/144*n ^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+6561457/36*n^12*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^10-4329625/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+ 8198831/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-3604643/3*n^9*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+1043584*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^10-533712*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+120960*n^6*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^10-1877309/288*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -2)^n/(n-2)^6+251531/12*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-\ 1835137/36*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-1/288*n^26*((n-1)^ n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+7/48*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -2)^n/(n-2)^6-811/288*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+265/8*n ^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-76351/288*n^22*((n-1)^n)^3/(n-\ 1)^15/(n^n)^4*(n-2)^n/(n-2)^6+73271/48*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^ n/(n-2)^6-80304*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+31872*n^13*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-2271125/18*n^16*((n-1)^n)^3/(n-1)^15 /(n^n)^4*(n-2)^n/(n-2)^6+367096/3*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-\ 2)^6-5760*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+93242*n^17*((n-1)^n )^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+1/96/(n^n)*n^19*(n-5)^n/(n-5)^14-25/24/(n^ n)*n^18*(n-5)^n/(n-5)^14+143/3/(n^n)*n^17*(n-5)^n/(n-5)^14-31765/24/(n^n)*n^16* (n-5)^n/(n-5)^14+1196741/48/(n^n)*n^15*(n-5)^n/(n-5)^14-8099455/24/(n^n)*n^14*( n-5)^n/(n-5)^14+40698229/12/(n^n)*n^13*(n-5)^n/(n-5)^14-618767435/24/(n^n)*n^12 *(n-5)^n/(n-5)^14+14365627133/96/(n^n)*n^11*(n-5)^n/(n-5)^14-3986760635/6/(n^n) *n^10*(n-5)^n/(n-5)^14-14203089270/(n^n)*n^6*(n-5)^n/(n-5)^14+12596209704/(n^n) *n^5*(n-5)^n/(n-5)^14-34274227715/6/(n^n)*n^8*(n-5)^n/(n-5)^14+6739212844/3/(n^ n)*n^9*(n-5)^n/(n-5)^14-6637174560/(n^n)*n^4*(n-5)^n/(n-5)^14+21381576733/2/(n^ n)*n^7*(n-5)^n/(n-5)^14+1556755200/(n^n)*n^3*(n-5)^n/(n-5)^14-24351865/864*n^23 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+46395575/288*n^22*((n-1)^n)^3/(n -1)^12/(n^n)^4*(n-3)^n/(n-3)^11-1234976215/1728*n^21*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-3)^n/(n-3)^11+2139242765/864*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n -3)^11-964930163/144*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+ 3043621429/216*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-90984589/4*n^ 17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+165592847/6*n^16*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-24306137*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 3)^n/(n-3)^11+14637474*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-\ 5378760*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+907200*n^12*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+1/576*n^27*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -4)^n/(n-4)^13+310507/96*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-\ 12113969/288*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+29644759/72*n^21 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-12404795/4*n^20*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^13+10493876965/576*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -4)^n/(n-4)^13-218215*n^21*((n-1)^n)^6/(n-1)^27/(n^n)^6+132660*n^20*((n-1)^n)^6 /(n-1)^27/(n^n)^6-49680*n^19*((n-1)^n)^6/(n-1)^27/(n^n)^6+1/144*n^21*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-13/48*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2 )^n/(n-2)^7+343/72*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1199/24*n^ 18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+16691/48*n^17*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-2)^n/(n-2)^7-27063/16*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^7+106051/18*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-44384/3*n^ 14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+238966/9*n^13*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-2)^n/(n-2)^7-99503/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^7+27324*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-13296*n^10*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+2880*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-2)^n/(n-2)^7-1/144*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+1027/576*n^ 29*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-13847/576*n^28*((n-1)^n)^4/(n-1 )^19/(n^n)^5*(n-2)^n/(n-2)^6+128917/576*n^27*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2) ^n/(n-2)^6-878621/576*n^26*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+4533545 /576*n^25*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-18061045/576*n^24*((n-1) ^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+323472*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^5 *(n-2)^n/(n-2)^6-110016*n^16*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+ 4347517/6*n^19*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-583792*n^18*((n-1)^ n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+17280*n^15*((n-1)^n)^4/(n-1)^19/(n^n)^5*( n-2)^n/(n-2)^6-23628337/36*n^20*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-1/ 1728*n^29*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+19/576*n^28*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-503/576*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3 )^n/(n-3)^8+8215/576*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-10301/64 *n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+767245/576*n^24*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-14464927/1728*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^ 4*(n-3)^n/(n-3)^8+23501477/576*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^ 8-22484821/144*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+67938557/144*n ^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-13503781/12*n^19*((n-1)^n)^3/( n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+75824471/36*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*( n-3)^n/(n-3)^8-82475629/27*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+ 10077929/3*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-8111600/3*n^15*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+1499872*n^14*((n-1)^n)^3/(n-1)^15/(n^ n)^4*(n-3)^n/(n-3)^8-511488*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+ 80640*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+10475/1728/(n^n)*n^21*( n-6)^n/(n-6)^17-25/288/(n^n)*n^22*(n-6)^n/(n-6)^17+2258351/288/(n^n)*n^19*(n-6) ^n/(n-6)^17-75415/288/(n^n)*n^20*(n-6)^n/(n-6)^17+1/1728/(n^n)*n^23*(n-6)^n/(n-\ 6)^17-8299315/48/(n^n)*n^18*(n-6)^n/(n-6)^17+2514603875/864/(n^n)*n^17*(n-6)^n/ (n-6)^17-5510228615/144/(n^n)*n^16*(n-6)^n/(n-6)^17+689068603301/1728/(n^n)*n^ 15*(n-6)^n/(n-6)^17-957105541405/288/(n^n)*n^14*(n-6)^n/(n-6)^17+12815607813125 /576/(n^n)*n^13*(n-6)^n/(n-6)^17-11496585300265/96/(n^n)*n^12*(n-6)^n/(n-6)^17+ 55809768372661/108/(n^n)*n^11*(n-6)^n/(n-6)^17-63930789769865/36/(n^n)*n^10*(n-\ 6)^n/(n-6)^17-18301613818520/(n^n)*n^6*(n-6)^n/(n-6)^17+14315779485600/(n^n)*n^ 5*(n-6)^n/(n-6)^17-181321868222035/18/(n^n)*n^8*(n-6)^n/(n-6)^17+ 519105720568475/108/(n^n)*n^9*(n-6)^n/(n-6)^17-6776749728000/(n^n)*n^4*(n-6)^n/ (n-6)^17+47808240558566/3/(n^n)*n^7*(n-6)^n/(n-6)^17+1452971520000/(n^n)*n^3*(n -6)^n/(n-6)^17-1/432*n^23*((n-1)^n)^4/(n-1)^19/(n^n)^4+2/27*n^22*((n-1)^n)^4/(n -1)^19/(n^n)^4-77/72*n^21*((n-1)^n)^4/(n-1)^19/(n^n)^4+331/36*n^20*((n-1)^n)^4/ (n-1)^19/(n^n)^4-7531/144*n^19*((n-1)^n)^4/(n-1)^19/(n^n)^4+7439/36*n^18*((n-1) ^n)^4/(n-1)^19/(n^n)^4-31249/54*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^4+31012/27*n^16 *((n-1)^n)^4/(n-1)^19/(n^n)^4-14251/9*n^15*((n-1)^n)^4/(n-1)^19/(n^n)^4+1444*n^ 14*((n-1)^n)^4/(n-1)^19/(n^n)^4-784*n^13*((n-1)^n)^4/(n-1)^19/(n^n)^4+1/432/(n^ n)*n^17*(n-4)^n/(n-4)^13-83/432/(n^n)*n^16*(n-4)^n/(n-4)^13+3113/432/(n^n)*n^15 *(n-4)^n/(n-4)^13-69823/432/(n^n)*n^14*(n-4)^n/(n-4)^13+348205/144/(n^n)*n^13*( n-4)^n/(n-4)^13-3669523/144/(n^n)*n^12*(n-4)^n/(n-4)^13+84120179/432/(n^n)*n^11 *(n-4)^n/(n-4)^13-472581109/432/(n^n)*n^10*(n-4)^n/(n-4)^13-45435949/(n^n)*n^6* (n-4)^n/(n-4)^13+45140216/(n^n)*n^5*(n-4)^n/(n-4)^13-371029373/27/(n^n)*n^8*(n-\ 4)^n/(n-4)^13+489374743/108/(n^n)*n^9*(n-4)^n/(n-4)^13-26189040/(n^n)*n^4*(n-4) ^n/(n-4)^13+269684896/9/(n^n)*n^7*(n-4)^n/(n-4)^13+6652800/(n^n)*n^3*(n-4)^n/(n -4)^13+1/24/(n^n)*n^13*(n-3)^n/(n-3)^10-47/24/(n^n)*n^12*(n-3)^n/(n-3)^10+40/(n ^n)*n^11*(n-3)^n/(n-3)^10-1865/4/(n^n)*n^10*(n-3)^n/(n-3)^10+27391/8/(n^n)*n^9* (n-3)^n/(n-3)^10-131957/8/(n^n)*n^8*(n-3)^n/(n-3)^10+631165/12/(n^n)*n^7*(n-3)^ n/(n-3)^10-655015/6/(n^n)*n^6*(n-3)^n/(n-3)^10+140499/(n^n)*n^5*(n-3)^n/(n-3)^ 10-100668/(n^n)*n^4*(n-3)^n/(n-3)^10+30240/(n^n)*n^3*(n-3)^n/(n-3)^10+1/12*(n-2 )^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/(n^n )*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*(n-2) ^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3-1728*n^15*((n-1)^n)^5/(n-1)^ 23/(n^n)^5+1/288*n^28*((n-1)^n)^5/(n-1)^23/(n^n)^5-37/288*n^27*((n-1)^n)^5/(n-1 )^23/(n^n)^5+157/72*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^5-1079/48*n^25*((n-1)^n)^5/ (n-1)^23/(n^n)^5+5025/32*n^24*((n-1)^n)^5/(n-1)^23/(n^n)^5-75355/96*n^23*((n-1) ^n)^5/(n-1)^23/(n^n)^5+415945/144*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^5-71305/9*n^ 21*((n-1)^n)^5/(n-1)^23/(n^n)^5+145780/9*n^20*((n-1)^n)^5/(n-1)^23/(n^n)^5-\ 146275/6*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^5+26257*n^18*((n-1)^n)^5/(n-1)^23/(n^n )^5-19164*n^17*((n-1)^n)^5/(n-1)^23/(n^n)^5+8496*n^16*((n-1)^n)^5/(n-1)^23/(n^n )^5+1/96*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^5-11/32*n^26*((n-1)^n)^5/(n-1)^22/(n^n )^5+31/6*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^5-2245/48*n^24*((n-1)^n)^5/(n-1)^22/(n ^n)^5+27265/96*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^5-117005/96*n^22*((n-1)^n)^5/(n-\ 1)^22/(n^n)^5+60645/16*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^5-103285/12*n^20*((n-1)^ n)^5/(n-1)^22/(n^n)^5+14165*n^19*((n-1)^n)^5/(n-1)^22/(n^n)^5-32955/2*n^18*((n-\ 1)^n)^5/(n-1)^22/(n^n)^5+12861*n^17*((n-1)^n)^5/(n-1)^22/(n^n)^5-6048*n^16*((n-\ 1)^n)^5/(n-1)^22/(n^n)^5+14239/48*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14 -609733/96*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+9558757/96*n^20*(n-1)^ n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-85305773/72*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 5)^n/(n-5)^14+1576282279/144*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-\ 15294678035/192*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+88414895855/192*n ^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-203776053611/96*n^15*(n-1)^n/(n-1) ^5/(n^n)^2*(n-5)^n/(n-5)^14+187189517411/24*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^ n/(n-5)^14-409367051381/18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-\ 121611153504*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+81481061376*n^8*(n-1) ^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-185160473841/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2 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n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+1/16*n^20*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-2)^n/(n-2)^7-35/16*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^ 7+273/8*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-2505/8*n^17*((n-1)^n)^ 2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+30033/16*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 2)^n/(n-2)^7-123435/16*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+88667/4 *n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-44485*n^13*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-2)^n/(n-2)^7+61026*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^ 7-54405*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+28296*n^10*((n-1)^n)^2 /(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-6480*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/( n-2)^7+27211/16*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-1311/16*n^19*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-47459/2*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^12-27484633/16*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+149801113 /16*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+3769227/16*n^16*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^12+925040697/2*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n -4)^12+44906400*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-1/32*n^21*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+19/8*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^12-79378283/12*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+38892917/3*n ^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-37551629/2*n^13*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-3)^n/(n-3)^10+19441377*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^ n/(n-3)^10-13576536*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+5710608*n ^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-1088640*n^9*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-3)^n/(n-3)^10-1/1728*n^29*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-\ 3)^11+1/24*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-1189/864*n^27*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+23923/864*n^26*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^11-3041/8*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3) ^11+3265331/864*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+192*n^12*((n -1)^n)^4/(n-1)^19/(n^n)^4-33827705/72*n^22*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n /(n-2)^8+134903269/144*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-\ 8607887/6*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+6614567/4*n^19*((n-\ 1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-1386306*n^18*((n-1)^n)^4/(n-1)^17/(n^n )^5*(n-2)^n/(n-2)^8+796671*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-\ 280152*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+45360*n^15*((n-1)^n)^4 /(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+1/576*n^31*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2) ^n/(n-2)^8-13/144*n^30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+13/6*n^29*( (n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-4589/144*n^28*((n-1)^n)^4/(n-1)^17/ (n^n)^5*(n-2)^n/(n-2)^8+92623/288*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-\ 2)^8+1/8/(n^n)*n^12*(n-3)^n/(n-3)^9-19/4/(n^n)*n^11*(n-3)^n/(n-3)^9+309/4/(n^n) *n^10*(n-3)^n/(n-3)^9-1407/2/(n^n)*n^9*(n-3)^n/(n-3)^9+31521/8/(n^n)*n^8*(n-3)^ n/(n-3)^9-56091/4/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/2/(n^n)*n^6*(n-3)^n/(n-3)^9-\ 43229/(n^n)*n^5*(n-3)^n/(n-3)^9+32436/(n^n)*n^4*(n-3)^n/(n-3)^9-10080/(n^n)*n^3 *(n-3)^n/(n-3)^9-1/96*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+5/6*n^21*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1463/48*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 4)^n/(n-4)^12-52053905/24*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+ 327020135/48*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-50536309/3*n^19* ((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+391164701/12*n^18*((n-1)^n)^3/(n-1 )^14/(n^n)^4*(n-3)^n/(n-3)^9-146257754/3*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3 )^n/(n-3)^9+55158459*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-45571260 *n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+25892208*n^14*((n-1)^n)^3/(n -1)^14/(n^n)^4*(n-3)^n/(n-3)^9-9025344*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^ n/(n-3)^9+1451520*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+1/576*n^27* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-13/96*n^26*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-4)^n/(n-4)^11+469/96*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^ 11+26469/16*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-1774213/96*n^22* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-10399/96*n^24*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-4)^n/(n-4)^11-98692925/96*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4) ^n/(n-4)^11+1018969465/192*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-\ 1041537805/48*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+1126937731/16* n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-2172885811/12*n^16*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+13172916709/36*n^15*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-4)^n/(n-4)^11-573235569*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-\ 4)^11+680633729*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-590735028*n^ 12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+352660176*n^11*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-4)^n/(n-4)^11-129090240*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4 )^n/(n-4)^11+45084083/288*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+ 21772800*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-1201/16*n^16*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1017*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-\ 3)^10-143883/16*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+218469/4*n^13*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-3734723/16*n^12*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^10+1413367/2*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-1502891 *n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+2187267*n^9*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^10-2064861*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+ 1132812*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-272160*n^6*(n-1)^n/(n-1)^4 /(n^n)^2*(n-3)^n/(n-3)^10-1/16*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+13 /4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+4360130225/48*n^13*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^12+884971215*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^12-659426904*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+3116100565/6*n^11* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-2995862401/12*n^12*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^12+295576560*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 122129/12*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+32455/48*n^19*(n-1)^n/( n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+5287915/48*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^12+259739645/48*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-2428307783 /96*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-42561541/48*n^16*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^12-1602213833/2*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/ (n-4)^12-59875200*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+28064335/288*n^ 23*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-17059955/72*n^22*((n-1)^n)^4/(n -1)^19/(n^n)^5*(n-2)^n/(n-2)^6+4042079/9*n^21*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2 )^n/(n-2)^6+1/576*n^31*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-47/576*n^30 *((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-1/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2 *(n-2)^n/(n-2)^7+5/4*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/4*n^13*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+120*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^7-4431/8*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+6615/4*n^10*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-19115/6*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-\ 2)^7+3805*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-2544*n^7*(n-1)^n/(n-1)^5/ (n^n)^2*(n-2)^n/(n-2)^7+720*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+ 10101053/96*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-21554153/48*n^17* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+4383856/3*n^16*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^9-21750859/6*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n /(n-3)^9+40784669/6*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-28368101/ 3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+9440332*n^12*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-3)^n/(n-3)^9-6379056*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^ n/(n-3)^9+2605248*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-483840*n^9* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+11/36*n^21*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^13+1/192*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-85/ 192*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+833/48*n^25*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-20005/48*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4) ^n/(n-4)^12+659569/96*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-1/576*n ^25*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+109/576*n^24*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^14-917/96*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-91/8*n ^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-860633/96*n^21*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^15+14652487/96*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15 -283430521/144*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+2831121839/144*n^ 18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-9873099145/64*n^17*(n-1)^n/(n-1)^4/ (n^n)^2*(n-5)^n/(n-5)^15+61354399535/64*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^15-227276963693/48*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+ 891703555327/48*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-518650825603/9*n^ 13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-379672418004*n^9*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^15+265347538416*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 15-262465668283*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+5040997473533/36* n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-112639343040*n^7*(n-1)^n/(n-1)^4/ (n^n)^2*(n-5)^n/(n-5)^15+370571027707*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5 )^15+21794572800*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-1/576*n^25*(n-1)^ n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+119/576*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n /(n-5)^15-19/48/(n^n)*n^19*(n-5)^n/(n-5)^15+1/288/(n^n)*n^20*(n-5)^n/(n-5)^15+ 83/4/(n^n)*n^18*(n-5)^n/(n-5)^15-5309/8/(n^n)*n^17*(n-5)^n/(n-5)^15+695387/48/( n^n)*n^16*(n-5)^n/(n-5)^15-915369/4/(n^n)*n^15*(n-5)^n/(n-5)^15+48697207/18/(n^ n)*n^14*(n-5)^n/(n-5)^15-586105949/24/(n^n)*n^13*(n-5)^n/(n-5)^15+5446289277/32 /(n^n)*n^12*(n-5)^n/(n-5)^15-14717052779/16/(n^n)*n^11*(n-5)^n/(n-5)^15+ 11548845763/3/(n^n)*n^10*(n-5)^n/(n-5)^15+70479819828/(n^n)*n^6*(n-5)^n/(n-5)^ 15-60994703472/(n^n)*n^5*(n-5)^n/(n-5)^15+543983918209/18/(n^n)*n^8*(n-5)^n/(n-\ 5)^15-24774687483/2/(n^n)*n^9*(n-5)^n/(n-5)^15+31492399680/(n^n)*n^4*(n-5)^n/(n -5)^15-163874126401/3/(n^n)*n^7*(n-5)^n/(n-5)^15-7264857600/(n^n)*n^3*(n-5)^n/( n-5)^15-1/16*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+47/16*n^17*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/8*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 9+6101/8*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-99153/16*n^14*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^9+557031/16*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^9-554237/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+393331*n^11*(n-1)^n/ (n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-789646*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-\ 3)^9+1092017*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-985776*n^8*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-3)^n/(n-3)^9+520272*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 -120960*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9 The, 3, 4, mixed moment of, X[3], and , X[4], is 32 n 4 n 23 n 4 n n ((n - 1) ) (n - 2) 835635 n ((n - 1) ) (n - 2) ----------------------------- - ------------------------------- 20 n 5 6 20 n 5 6 1728 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 8381371 n ((n - 1) ) (n - 2) 9811289 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 20 n 5 6 20 n 5 6 18 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 31 n 4 n 30 n 4 n 17 n ((n - 1) ) (n - 2) 45 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 20 n 5 6 20 n 5 6 576 (n - 1) (n ) (n - 2) 64 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n 665 n ((n - 1) ) (n - 2) 61435 n ((n - 1) ) (n - 2) - ---------------------------- + ------------------------------ 20 n 5 6 20 n 5 6 64 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 154921 n ((n - 1) ) (n - 2) 8048029 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 20 n 5 6 20 n 5 6 192 (n - 1) (n ) (n - 2) 1728 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 12065075 n ((n - 1) ) (n - 2) 2377275 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 20 n 5 6 20 n 5 6 576 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 467968 n ((n - 1) ) (n - 2) 152448 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 20 n 5 6 20 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 10446410 n ((n - 1) ) (n - 2) 2658640 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 20 n 5 6 20 n 5 6 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 23040 n ((n - 1) ) (n - 2) 60299225 n ((n - 1) ) (n - 2) - ------------------------------ + --------------------------------- 20 n 5 6 20 n 5 6 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 31 n 4 n 32 n 4 n 53 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 19 n 5 7 19 n 5 7 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n 1309 n ((n - 1) ) (n - 2) 20009 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 5 7 19 n 5 7 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 211999 n ((n - 1) ) (n - 2) 1652123 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 19 n 5 7 19 n 5 7 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 9805271 n ((n - 1) ) (n - 2) 45262315 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 19 n 5 7 19 n 5 7 432 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 41123735 n ((n - 1) ) (n - 2) 118312915 n ((n - 1) ) (n - 2) + --------------------------------- - ---------------------------------- 19 n 5 7 19 n 5 7 108 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 67348181 n ((n - 1) ) (n - 2) 5101632 n ((n - 1) ) (n - 2) + --------------------------------- + -------------------------------- 19 n 5 7 19 n 5 7 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 20 n 4 n 2734464 n ((n - 1) ) (n - 2) 55951708 n ((n - 1) ) (n - 2) - -------------------------------- + --------------------------------- 19 n 5 7 19 n 5 7 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 120638233 n ((n - 1) ) (n - 2) 903168 n ((n - 1) ) (n - 2) - ---------------------------------- + ------------------------------- 19 n 5 7 19 n 5 7 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 19725236 n ((n - 1) ) (n - 2) 138240 n ((n - 1) ) (n - 2) - --------------------------------- - ------------------------------- 19 n 5 7 19 n 5 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 3 n 27 n 3 n 655 n ((n - 1) ) (n - 3) 12239 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 15 n 4 9 15 n 4 9 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 158429 n ((n - 1) ) (n - 3) 1508917 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 15 n 4 9 15 n 4 9 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 32878807 n ((n - 1) ) (n - 3) 186223847 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 15 n 4 9 15 n 4 9 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 22 n 3 n 30 n 3 n 69487775 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - --------------------------------- - ---------------------------- 15 n 4 9 15 n 4 9 36 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 29 n 3 n 21 n 3 n 65 n ((n - 1) ) (n - 3) 247817125 n ((n - 1) ) (n - 3) + ---------------------------- + ---------------------------------- 15 n 4 9 15 n 4 9 432 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 176388457 n ((n - 1) ) (n - 3) 399915215 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 15 n 4 9 15 n 4 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 18 n 3 n 2149689820 n ((n - 1) ) (n - 3) - ----------------------------------- 15 n 4 9 27 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 3002025572 n ((n - 1) ) (n - 3) 118313376 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 15 n 4 9 15 n 4 9 27 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 277569664 n ((n - 1) ) (n - 3) 50041856 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 15 n 4 9 15 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 16690176 n ((n - 1) ) (n - 3) 2580480 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 15 n 4 9 15 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 3153263 n ((n - 1) ) (n - 3) 8065577 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 14 n 4 10 14 n 4 10 144 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 23 n 3 n 30 n 3 n 144279631 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ---------------------------------- - ----------------------------- 14 n 4 10 14 n 4 10 144 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 29 n 3 n 28 n 3 n 35 n ((n - 1) ) (n - 3) 1135 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 14 n 4 10 14 n 4 10 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 22661 n ((n - 1) ) (n - 3) 156113 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 14 n 4 10 14 n 4 10 144 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 22 n 3 n 1355630875 n ((n - 1) ) (n - 3) - ----------------------------------- 14 n 4 10 288 (n - 1) (n ) (n - 3) 21 n 3 n 1263990425 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 4 10 72 (n - 1) (n ) (n - 3) 20 n 3 n 3751762159 n ((n - 1) ) (n - 3) - ----------------------------------- 14 n 4 10 72 (n - 1) (n ) (n - 3) 19 n 3 n 2210471825 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 4 10 18 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 4105513325 n ((n - 1) ) (n - 3) 329287814 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 14 n 4 10 14 n 4 10 18 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 361331594 n ((n - 1) ) (n - 3) 290689032 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 4 10 14 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 161370144 n ((n - 1) ) (n - 3) 55119744 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 14 n 4 10 14 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 25 n 3 n 8709120 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - -------------------------------- - --------------------------- 14 n 4 10 13 n 4 7 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 5 n ((n - 1) ) (n - 2) 727 n ((n - 1) ) (n - 2) + -------------------------- - ---------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 1325 n ((n - 1) ) (n - 2) 19453 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 7 13 n 4 7 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 25305 n ((n - 1) ) (n - 2) 1152041 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 13 n 4 7 13 n 4 7 2 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 444318 n ((n - 1) ) (n - 2) 316260 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 832903 n ((n - 1) ) (n - 2) 1612855 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 134784 n ((n - 1) ) (n - 2) 417630 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 23 n 2 n 25920 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ------------------------------ + -------------------------- 13 n 4 7 9 n 3 9 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 13 n ((n - 1) ) (n - 3) 409 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 3 9 9 n 3 9 6 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 8707 n ((n - 1) ) (n - 3) 166079 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 9 n 3 9 9 n 3 9 12 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 46917 n ((n - 1) ) (n - 3) 5597021 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 10360111 n ((n - 1) ) (n - 3) 2391771 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 3 9 9 n 3 9 12 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 14800466 n ((n - 1) ) (n - 3) 22367474 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 8000836 n ((n - 1) ) (n - 3) 5757984 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 2484288 n ((n - 1) ) (n - 3) 483840 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n n 19 n n 23 n (n - 1) (n - 4) 2167 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 11 5 n 2 11 24 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 21 n n 17 n n n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) - --------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 72 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 24 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 24 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 12 n n 11 n n 75796589 n (n - 1) (n - 4) 494574964 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 10 n n 9 n n 263958842 n (n - 1) (n - 4) 100293468 n (n - 1) (n - 4) + ------------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 76733472 n (n - 1) (n - 4) 35167680 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 6 n n 13691 n (n - 1) (n - 4) 7257600 n (n - 1) (n - 4) + --------------------------- + ---------------------------- 5 n 2 11 5 n 2 11 24 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 3 n 18 n 3 n 11426639 n ((n - 1) ) (n - 2) 33323423 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 12 n 4 8 12 n 4 8 288 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 35704333 n ((n - 1) ) (n - 2) 385504 n ((n - 1) ) (n - 2) - --------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 144 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 422492 n ((n - 1) ) (n - 2) 617631 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 134757 n ((n - 1) ) (n - 2) 26460 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 12 n 4 8 12 n 4 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 7 n ((n - 1) ) (n - 2) 301 n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 12 n 4 8 12 n 4 8 288 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 5845 n ((n - 1) ) (n - 2) 22631 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 12 n 4 8 12 n 4 8 288 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 58499 n ((n - 1) ) (n - 2) 959749 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 12 n 4 8 12 n 4 8 32 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 133 n ((n - 1) ) (n - 3) 3423 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 20 n 2 n 23 n 2 n 158123 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------- 8 n 3 10 8 n 3 10 96 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 542381 n ((n - 1) ) (n - 3) 3945487 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 62771807 n ((n - 1) ) (n - 3) 82188883 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 96 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 120154153 n ((n - 1) ) (n - 3) 97592761 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 25688299 n ((n - 1) ) (n - 3) 57355011 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 21379617 n ((n - 1) ) (n - 3) 9517284 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 13 n n 1905120 n ((n - 1) ) (n - 3) 2869764051 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 8 n 3 10 4 n 2 12 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 4) 9 n n 8 n n 2581783659 n (n - 1) (n - 4) 1031231187 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 4 n 2 12 4 n 2 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 3834354769 n (n - 1) (n - 4) 13302327269 n (n - 1) (n - 4) - -------------------------------- + --------------------------------- 4 n 2 12 4 n 2 12 6 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 7 n n 15 n 5 491063580 n (n - 1) (n - 4) 1728 n ((n - 1) ) - ------------------------------ + -------------------- 4 n 2 12 22 n 5 (n - 1) (n ) (n - 4) (n - 1) (n ) 18 n 6 16 n 2 n 10368 n ((n - 1) ) 42439074236 n ((n - 1) ) (n - 4) + --------------------- + ------------------------------------ 27 n 6 10 n 3 12 (n - 1) (n ) 9 (n - 1) (n ) (n - 4) 12 n 2 n 13701490968 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 8016704352 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 13972449976 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 165538564283 n ((n - 1) ) (n - 4) - ------------------------------------- 10 n 3 12 18 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 2883530880 n ((n - 1) ) (n - 4) 99000461 n ((n - 1) ) (n - 4) + ----------------------------------- - --------------------------------- 10 n 3 12 10 n 3 12 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 12954139 n ((n - 1) ) (n - 4) 1063404605 n ((n - 1) ) (n - 4) + --------------------------------- + ----------------------------------- 10 n 3 12 10 n 3 12 18 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 18 n 2 n 1854716131 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 12 3 (n - 1) (n ) (n - 4) 17 n 2 n 45880488367 n ((n - 1) ) (n - 4) - ------------------------------------ 10 n 3 12 24 (n - 1) (n ) (n - 4) 19 n 2 n 5124938445 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 12 32 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 16155412094 n ((n - 1) ) (n - 4) 479001600 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 10 n 3 12 10 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 27 n 2 n 26 n 2 n 89 n ((n - 1) ) (n - 4) 51 n ((n - 1) ) (n - 4) - ----------------------------- + --------------------------- 10 n 3 12 10 n 3 12 288 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 2593 n ((n - 1) ) (n - 4) 273203 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------- 10 n 3 12 10 n 3 12 8 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 23 n 2 n 28 n 2 n 3521167 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - -------------------------------- + ----------------------------- 10 n 3 12 10 n 3 12 48 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 28 n 2 n 27 n 2 n n ((n - 1) ) (n - 4) 97 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 9 n 3 13 9 n 3 13 432 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 15840053 n ((n - 1) ) (n - 4) 6959788 n ((n - 1) ) (n - 4) - --------------------------------- + -------------------------------- 9 n 3 13 9 n 3 13 216 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 21 n 2 n 170932673 n ((n - 1) ) (n - 4) - ---------------------------------- 9 n 3 13 27 (n - 1) (n ) (n - 4) 20 n 2 n 17639038885 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 432 (n - 1) (n ) (n - 4) 19 n 2 n 90415987805 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 13 432 (n - 1) (n ) (n - 4) 18 n 2 n 46235268677 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 54 (n - 1) (n ) (n - 4) 17 n 2 n 301917561413 n ((n - 1) ) (n - 4) - ------------------------------------- 9 n 3 13 108 (n - 1) (n ) (n - 4) 16 n 2 n 195884982362 n ((n - 1) ) (n - 4) + ------------------------------------- 9 n 3 13 27 (n - 1) (n ) (n - 4) 12 n 2 n 24961062192 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 (n - 1) (n ) (n - 4) 11 n 2 n 15112148544 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 13 (n - 1) (n ) (n - 4) 14 n 2 n 70646800552 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 3 (n - 1) (n ) (n - 4) 15 n 2 n 133512138833 n ((n - 1) ) (n - 4) - ------------------------------------- 9 n 3 13 9 (n - 1) (n ) (n - 4) 10 n 2 n 5607394560 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 13 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 28354140468 n ((n - 1) ) (n - 4) 958003200 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 9 n 3 13 9 n 3 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 272 n ((n - 1) ) (n - 4) 30001 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 9 n 3 13 9 n 3 13 27 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 24 n 2 n 22 n n 1139689 n ((n - 1) ) (n - 4) 1008425 n (n - 1) (n - 5) + -------------------------------- - ----------------------------- 9 n 3 13 5 n 2 15 216 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 5) 23 n n 21 n n 3443 n (n - 1) (n - 5) 6031673 n (n - 1) (n - 5) + -------------------------- + ----------------------------- 5 n 2 15 5 n 2 15 6 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 20 n n 19 n n 371345443 n (n - 1) (n - 5) 1321614641 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 5 n 2 15 5 n 2 15 108 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 18 n n 17 n n 134155841729 n (n - 1) (n - 5) 33615598705 n (n - 1) (n - 5) - ---------------------------------- + --------------------------------- 5 n 2 15 5 n 2 15 432 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 16 n n 15 n n 205670081149 n (n - 1) (n - 5) 600270470033 n (n - 1) (n - 5) - ---------------------------------- + ---------------------------------- 5 n 2 15 5 n 2 15 18 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 14 n n 4749713968393 n (n - 1) (n - 5) - ----------------------------------- 5 n 2 15 27 (n - 1) (n ) (n - 5) 13 n n 9 n n 4446470227727 n (n - 1) (n - 5) 2378716280576 n (n - 1) (n - 5) + ----------------------------------- + ---------------------------------- 5 n 2 15 5 n 2 15 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 1565372662272 n (n - 1) (n - 5) 5681734803356 n (n - 1) (n - 5) - ---------------------------------- + ----------------------------------- 5 n 2 15 5 n 2 15 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 12 n n 7 n n 29612753952320 n (n - 1) (n - 5) 629802593280 n (n - 1) (n - 5) - ------------------------------------ + --------------------------------- 5 n 2 15 5 n 2 15 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 7447826115328 n (n - 1) (n - 5) 116237721600 n (n - 1) (n - 5) - ----------------------------------- - --------------------------------- 5 n 2 15 5 n 2 15 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 25 n n 24 n n 41 n (n - 1) (n - 5) 1757 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 5 n 2 15 5 n 2 15 144 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 26 n n 26 n n n (n - 1) (n - 5) n (n - 1) (n - 5) - ---------------------------- - ----------------------------- 5 n 2 15 4 n 2 16 432 (n - 1) (n ) (n - 5) 1728 (n - 1) (n ) (n - 5) 25 n n 24 n n 67 n (n - 1) (n - 5) 2779 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 4 n 2 16 4 n 2 16 864 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 22 n n 23 n n 1414853 n (n - 1) (n - 5) 1111 n (n - 1) (n - 5) - ----------------------------- + -------------------------- 4 n 2 16 4 n 2 16 288 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 21 n n 20 n n 13780991 n (n - 1) (n - 5) 1226222957 n (n - 1) (n - 5) + ------------------------------ - -------------------------------- 4 n 2 16 4 n 2 16 144 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 5) 19 n n 18 n n 3541289827 n (n - 1) (n - 5) 86241734215 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 4 n 2 16 4 n 2 16 216 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 17 n n 16 n n 104725443355 n (n - 1) (n - 5) 3670055833847 n (n - 1) (n - 5) + ---------------------------------- - ----------------------------------- 4 n 2 16 4 n 2 16 96 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 15 n n 12 n 4 2150429005361 n (n - 1) (n - 5) 108 n ((n - 1) ) + ----------------------------------- + ------------------- 4 n 2 16 17 n 4 72 (n - 1) (n ) (n - 5) (n - 1) (n ) 14 n n 48425073199363 n (n - 1) (n - 5) - ------------------------------------ 4 n 2 16 432 (n - 1) (n ) (n - 5) 13 n n 36160047009713 n (n - 1) (n - 5) + ------------------------------------ 4 n 2 16 108 (n - 1) (n ) (n - 5) 9 n n 8 n n 1986811269492 n (n - 1) (n - 5) 1364284139760 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 4 n 2 16 4 n 2 16 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 4307556051952 n (n - 1) (n - 5) + ----------------------------------- 4 n 2 16 3 (n - 1) (n ) (n - 5) 12 n n 7 n n 28354575387061 n (n - 1) (n - 5) 570461572800 n (n - 1) (n - 5) - ------------------------------------ + --------------------------------- 4 n 2 16 4 n 2 16 36 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 1979412611203 n (n - 1) (n - 5) 108972864000 n (n - 1) (n - 5) - ----------------------------------- - --------------------------------- 4 n 2 16 4 n 2 16 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 4 n 32 n 3 n 5858855862336000 n (n - 7) 47 n ((n - 1) ) (n - 4) + ---------------------------- + ----------------------------- n 19 14 n 4 12 n (n - 7) 288 (n - 1) (n ) (n - 4) 33 n 3 n 19 n 3 n n ((n - 1) ) (n - 4) 1588465811815 n ((n - 1) ) (n - 4) - ----------------------------- - -------------------------------------- 14 n 4 12 14 n 4 12 576 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 15 n 3 n 62587999224 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 12 (n - 1) (n ) (n - 4) 14 n 3 n 31498441056 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 12 (n - 1) (n ) (n - 4) 17 n 3 n 89156625647 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 12 (n - 1) (n ) (n - 4) 18 n 3 n 423591550205 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 12 6 (n - 1) (n ) (n - 4) 13 n 3 n 9848096640 n ((n - 1) ) (n - 4) - ----------------------------------- 14 n 4 12 (n - 1) (n ) (n - 4) 24 n 3 n 17246949581 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 12 96 (n - 1) (n ) (n - 4) 25 n 3 n 18734275669 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 12 576 (n - 1) (n ) (n - 4) 23 n 3 n 155366275757 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 4 12 192 (n - 1) (n ) (n - 4) 21 n 3 n 1294799042257 n ((n - 1) ) (n - 4) - -------------------------------------- 14 n 4 12 144 (n - 1) (n ) (n - 4) 20 n 3 n 1592783008589 n ((n - 1) ) (n - 4) + -------------------------------------- 14 n 4 12 72 (n - 1) (n ) (n - 4) 22 n 3 n 286262713219 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 12 96 (n - 1) (n ) (n - 4) 16 n 3 n 86728315878 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 12 (n - 1) (n ) (n - 4) 12 n 3 n 31 n 2 n 1437004800 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 5) + ----------------------------------- + ------------------------------ 14 n 4 12 10 n 3 14 (n - 1) (n ) (n - 4) 1728 (n - 1) (n ) (n - 5) 30 n 2 n 29 n 2 n 59 n ((n - 1) ) (n - 5) 6509 n ((n - 1) ) (n - 5) - ----------------------------- + ------------------------------ 10 n 3 14 10 n 3 14 864 (n - 1) (n ) (n - 5) 1728 (n - 1) (n ) (n - 5) 35 n 4 n 34 n 4 n n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------ - ---------------------------- 17 n 5 11 17 n 5 11 2592 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 33 n 4 n 32 n 4 n 763 n ((n - 1) ) (n - 3) 8893 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 17 n 5 11 17 n 5 11 648 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 575513 n ((n - 1) ) (n - 3) 6871717 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 17 n 5 11 17 n 5 11 1296 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 1063 n ((n - 1) ) (n - 2) 2401 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 133591 n ((n - 1) ) (n - 2) 24937 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 4515065 n ((n - 1) ) (n - 2) 2883433 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 6362695 n ((n - 1) ) (n - 2) 3257984 n ((n - 1) ) (n - 2) - -------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 684928 n ((n - 1) ) (n - 2) 24682522 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 4789178 n ((n - 1) ) (n - 2) 87552 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------ 15 n 4 7 15 n 4 7 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 3517628 n ((n - 1) ) (n - 2) 15360 n ((n - 1) ) (n - 2) + -------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 35237 n ((n - 1) ) (n - 3) 436633 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 20 n 2 n 14 n n 3911939 n ((n - 1) ) (n - 3) n (n - 1) (n - 2) - -------------------------------- - ------------------------- 10 n 3 10 4 n 2 7 432 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 11 n n 10 n n 217 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 4821 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 7 n n 6 n n 1773 n (n - 1) (n - 2) 540 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 565 n ((n - 1) ) (n - 3) 28457 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 9 n 3 10 9 n 3 10 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 20 n 2 n 24 n 2 n 322805 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------- + --------------------------- 9 n 3 10 9 n 3 10 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n 61 n ((n - 1) ) (n - 3) 873573 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 9 n 3 10 9 n 3 10 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 15731093 n ((n - 1) ) (n - 3) 71093411 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 9 n 3 10 9 n 3 10 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 16 n 2 n 31 n 3 n 40647417 n ((n - 1) ) (n - 3) 4843 n ((n - 1) ) (n - 4) + --------------------------------- - ----------------------------- 9 n 3 10 13 n 4 13 4 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 4) 30 n 3 n 26 n 3 n 71173 n ((n - 1) ) (n - 4) 1148838131 n ((n - 1) ) (n - 4) + ------------------------------ + ----------------------------------- 13 n 4 13 13 n 4 13 432 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 25 n 3 n 33318071669 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 13 864 (n - 1) (n ) (n - 4) 24 n 3 n 97510359419 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 13 432 (n - 1) (n ) (n - 4) 23 n 3 n 927796321751 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 864 (n - 1) (n ) (n - 4) 22 n 3 n 1799788459781 n ((n - 1) ) (n - 4) + -------------------------------------- 13 n 4 13 432 (n - 1) (n ) (n - 4) 21 n 3 n 949316986879 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 72 (n - 1) (n ) (n - 4) 20 n 3 n 3665675340857 n ((n - 1) ) (n - 4) + -------------------------------------- 13 n 4 13 108 (n - 1) (n ) (n - 4) 19 n 3 n 1271271060545 n ((n - 1) ) (n - 4) - -------------------------------------- 13 n 4 13 18 (n - 1) (n ) (n - 4) 15 n 3 n 115467255216 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 14 n 3 n 59833933632 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 13 (n - 1) (n ) (n - 4) 17 n 3 n 154012682818 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 18 n 3 n 117553450305 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 13 n 3 n 19217191680 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 13 (n - 1) (n ) (n - 4) 16 n 3 n 155021151156 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 12 n 3 n 29 n 3 n 2874009600 n ((n - 1) ) (n - 4) 1452755 n ((n - 1) ) (n - 4) + ----------------------------------- - -------------------------------- 13 n 4 13 13 n 4 13 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n 10949255 n ((n - 1) ) (n - 4) 253073311 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 13 n 4 13 13 n 4 13 216 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 4) 15 n 5 29 n 4 n 768 n ((n - 1) ) 15713281 n ((n - 1) ) (n - 3) + ------------------- + --------------------------------- 24 n 5 17 n 5 11 (n - 1) (n ) 324 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 112783597 n ((n - 1) ) (n - 3) 5163370133 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 17 n 5 11 17 n 5 11 324 (n - 1) (n ) (n - 3) 2592 (n - 1) (n ) (n - 3) 26 n 4 n 23799870685 n ((n - 1) ) (n - 3) - ------------------------------------ 17 n 5 11 2592 (n - 1) (n ) (n - 3) 25 n 4 n 22218969029 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 5 11 648 (n - 1) (n ) (n - 3) 24 n 4 n 33680185247 n ((n - 1) ) (n - 3) - ------------------------------------ 17 n 5 11 324 (n - 1) (n ) (n - 3) 23 n 4 n 4598527423 n ((n - 1) ) (n - 3) + ----------------------------------- 17 n 5 11 18 (n - 1) (n ) (n - 3) 22 n 4 n 41012873942 n ((n - 1) ) (n - 3) - ------------------------------------ 17 n 5 11 81 (n - 1) (n ) (n - 3) 21 n 4 n 21640957106 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 5 11 27 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 8981215468 n ((n - 1) ) (n - 3) 954297984 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 17 n 5 11 17 n 5 11 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 675491768 n ((n - 1) ) (n - 3) 332874624 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 17 n 5 11 17 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 101784960 n ((n - 1) ) (n - 3) 14515200 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 17 n 5 11 17 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 33 n 3 n 32 n 3 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 13 n 4 13 13 n 4 13 864 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 2366681 n ((n - 1) ) (n - 2) 3916937 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 14 n 4 7 14 n 4 7 48 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 1046766 n ((n - 1) ) (n - 2) 699912 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 2292251 n ((n - 1) ) (n - 2) 1222879 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 4 7 14 n 4 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 282528 n ((n - 1) ) (n - 2) 1057419 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 16 n 2 n 51840 n ((n - 1) ) (n - 2) 55503416945 n ((n - 1) ) (n - 4) - ------------------------------ - ------------------------------------ 14 n 4 7 9 n 3 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 4) 12 n 2 n 17805076740 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 10988638848 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 16013212725 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 29374731527 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 3 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 4145670720 n ((n - 1) ) (n - 4) 5994351 n ((n - 1) ) (n - 4) - ----------------------------------- + -------------------------------- 9 n 3 12 9 n 3 12 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 7925225 n ((n - 1) ) (n - 4) 63034355 n ((n - 1) ) (n - 4) - -------------------------------- - --------------------------------- 9 n 3 12 9 n 3 12 24 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 18 n 2 n 23978675105 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 48 (n - 1) (n ) (n - 4) 17 n 2 n 20534512039 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 12 (n - 1) (n ) (n - 4) 19 n 2 n 5536442725 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 12 48 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 19781848956 n ((n - 1) ) (n - 4) 718502400 n ((n - 1) ) (n - 4) + ------------------------------------ + --------------------------------- 9 n 3 12 9 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 48440479945 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 96 (n - 1) (n ) (n - 4) 17 n 2 n 14676685803 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 8 (n - 1) (n ) (n - 4) 16 n 2 n 125797331777 n ((n - 1) ) (n - 4) - ------------------------------------- 8 n 3 13 24 (n - 1) (n ) (n - 4) 12 n 2 n 24208333218 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 11 n 2 n 15491446992 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 14 n 2 n 40061938053 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 2 (n - 1) (n ) (n - 4) 15 n 2 n 23362550195 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 2 (n - 1) (n ) (n - 4) 10 n 2 n 6038880480 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 4) 13 n 2 n 25846324722 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 9 n 2 n 26 n 2 n 1077753600 n ((n - 1) ) (n - 4) 31 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------- 8 n 3 13 8 n 3 13 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 995 n ((n - 1) ) (n - 4) 26021 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 8 n 3 13 8 n 3 13 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 22 n n 30 n 3 n 9237 n (n - 1) (n - 5) 18707 n ((n - 1) ) (n - 4) + -------------------------- + ------------------------------ 4 n 2 15 14 n 4 12 4 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 354665 n ((n - 1) ) (n - 4) 2490265 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 14 n 4 12 14 n 4 12 96 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 161368271 n ((n - 1) ) (n - 4) 686775127 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 14 n 4 12 14 n 4 12 288 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 31 n 3 n 26 n 3 n 4123 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) - ----------------------------- - --------------------------- 14 n 4 12 14 n 4 7 576 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 11 n ((n - 1) ) (n - 2) 887 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 14 n 4 7 14 n 4 7 12 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 5429 n ((n - 1) ) (n - 2) 30053 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 14 n 4 7 14 n 4 7 24 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 21 n 3 n 27 n n 22379 n ((n - 1) ) (n - 2) 2311 n (n - 1) (n - 6) + ------------------------------ - ---------------------------- 14 n 4 7 4 n 2 18 2 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 6) 21 n n 20 n n 877300649197 n (n - 1) (n - 6) 6858072839783 n (n - 1) (n - 6) - ---------------------------------- + ----------------------------------- 4 n 2 18 4 n 2 18 1152 (n - 1) (n ) (n - 6) 864 (n - 1) (n ) (n - 6) 19 n n 117117258814993 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 18 1728 (n - 1) (n ) (n - 6) 18 n n 15237345131619 n (n - 1) (n - 6) + ------------------------------------ 4 n 2 18 32 (n - 1) (n ) (n - 6) 17 n n 9530013597190501 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 18 3456 (n - 1) (n ) (n - 6) 16 n n 1420834346524391 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 18 108 (n - 1) (n ) (n - 6) 15 n n 4949537746887611 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 18 96 (n - 1) (n ) (n - 6) 14 n n 35653959043023227 n (n - 1) (n - 6) + --------------------------------------- 4 n 2 18 216 (n - 1) (n ) (n - 6) 13 n n 92457025506726911 n (n - 1) (n - 6) - --------------------------------------- 4 n 2 18 216 (n - 1) (n ) (n - 6) 9 n n 1660021004107320 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 18 (n - 1) (n ) (n - 6) 8 n n 1054429553109600 n (n - 1) (n - 6) + ------------------------------------- 4 n 2 18 (n - 1) (n ) (n - 6) 11 n n 8683875501083221 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 18 6 (n - 1) (n ) (n - 6) 12 n n 7991301015083333 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 18 9 (n - 1) (n ) (n - 6) 7 n n 411724440288000 n (n - 1) (n - 6) - ------------------------------------ 4 n 2 18 (n - 1) (n ) (n - 6) 10 n n 24 n 2 n 1806325467443882 n (n - 1) (n - 6) n ((n - 1) ) (n - 3) + -------------------------------------- + --------------------------- 4 n 2 18 10 n 3 9 (n - 1) (n ) (n - 6) 48 (n - 1) (n ) (n - 3) 23 n 2 n 22 n 2 n 7 n ((n - 1) ) (n - 3) 1435 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 10 n 3 9 10 n 3 9 6 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 11161 n ((n - 1) ) (n - 3) 235735 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 9 10 n 3 9 24 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 19 n 2 n 23 n 24 n 447581 n ((n - 1) ) (n - 3) 167 n (n - 6) n (n - 6) - ------------------------------- - ----------------- + ----------------- 10 n 3 9 n 18 n 18 12 (n - 1) (n ) (n - 3) 1728 n (n - 6) 1728 n (n - 6) 18 n 17 n 5054194265 n (n - 6) 75809637565 n (n - 6) + ----------------------- - ------------------------ n 18 n 18 864 n (n - 6) 864 n (n - 6) 16 n 15 n 1813155240761 n (n - 6) 17456799504547 n (n - 6) + -------------------------- - --------------------------- n 18 n 18 1728 n (n - 6) 1728 n (n - 6) 14 n 13 n 15119065406965 n (n - 6) 286844844624715 n (n - 6) + --------------------------- - ---------------------------- n 18 n 18 192 n (n - 6) 576 n (n - 6) 12 n 11 n 2205455697921833 n (n - 6) 285139607911208 n (n - 6) + ----------------------------- - ---------------------------- n 18 n 18 864 n (n - 6) 27 n (n - 6) 10 n 6 n 1889787999415795 n (n - 6) 325443214400440 n (n - 6) + ----------------------------- + --------------------------- n 18 n 18 54 n (n - 6) n (n - 6) 5 n 8 n 250145000983200 n (n - 6) 3369321203125991 n (n - 6) - --------------------------- + ---------------------------- n 18 n 18 n (n - 6) 18 n (n - 6) 9 n 4 n 9912728458996285 n (n - 6) 116657716896000 n (n - 6) - ---------------------------- + --------------------------- n 18 n 18 108 n (n - 6) n (n - 6) 7 n 3 n 867644930951182 n (n - 6) 24700515840000 n (n - 6) - --------------------------- - -------------------------- n 18 n 18 3 n (n - 6) n (n - 6) 31 n 4 n 30 n 4 n n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 18 n 5 7 18 n 5 7 96 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n 371 n ((n - 1) ) (n - 2) 15557 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 18 n 5 7 18 n 5 7 32 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 149771 n ((n - 1) ) (n - 2) 351013 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 5 7 18 n 5 7 96 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 5593115 n ((n - 1) ) (n - 2) 22889855 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 96 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 759745 n ((n - 1) ) (n - 2) 45377395 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 5031342 n ((n - 1) ) (n - 2) 2831976 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 21 n 4 n 10918363 n ((n - 1) ) (n - 2) 10985393 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 18 n 5 7 18 n 5 7 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 977184 n ((n - 1) ) (n - 2) 6139128 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 28 n 3 n 155520 n ((n - 1) ) (n - 2) 61 n ((n - 1) ) (n - 3) + ------------------------------- + --------------------------- 18 n 5 7 14 n 4 9 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 1721 n ((n - 1) ) (n - 3) 29833 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 14 n 4 9 14 n 4 9 96 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 355955 n ((n - 1) ) (n - 3) 3102931 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 14 n 4 9 14 n 4 9 96 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 6822361 n ((n - 1) ) (n - 3) 104355515 n ((n - 1) ) (n - 3) - -------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 32 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 29 n 3 n 34 n 6 33 n 6 n ((n - 1) ) (n - 3) n ((n - 1) ) 23 n ((n - 1) ) - --------------------------- - -------------------- + ------------------- 14 n 4 9 28 n 6 28 n 6 96 (n - 1) (n ) (n - 3) 1728 (n - 1) (n ) 864 (n - 1) (n ) 32 n 6 31 n 6 30 n 6 329 n ((n - 1) ) 1639 n ((n - 1) ) 120707 n ((n - 1) ) - ------------------- + -------------------- - ---------------------- 28 n 6 28 n 6 28 n 6 576 (n - 1) (n ) 216 (n - 1) (n ) 1728 (n - 1) (n ) 29 n 6 28 n 6 136081 n ((n - 1) ) 4197701 n ((n - 1) ) + ---------------------- - ----------------------- 28 n 6 28 n 6 288 (n - 1) (n ) 1728 (n - 1) (n ) 27 n 6 26 n 6 4182965 n ((n - 1) ) 4354625 n ((n - 1) ) + ----------------------- - ----------------------- 28 n 6 28 n 6 432 (n - 1) (n ) 144 (n - 1) (n ) 25 n 6 24 n 6 2004640 n ((n - 1) ) 15425251 n ((n - 1) ) + ----------------------- - ------------------------ 28 n 6 28 n 6 27 (n - 1) (n ) 108 (n - 1) (n ) 23 n 6 22 n 6 21 n 6 639041 n ((n - 1) ) 241459 n ((n - 1) ) 201104 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 28 n 6 28 n 6 28 n 6 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 20 n 6 19 n 6 21 n 116064 n ((n - 1) ) 41472 n ((n - 1) ) 630565 n (n - 6) - ---------------------- + --------------------- - ------------------- 28 n 6 28 n 6 n 18 (n - 1) (n ) (n - 1) (n ) 1728 n (n - 6) 22 n 19 n 20 n 13025 n (n - 6) 88187857 n (n - 6) 1770203 n (n - 6) + ------------------ - --------------------- + -------------------- n 18 n 18 n 18 1728 n (n - 6) 288 n (n - 6) 144 n (n - 6) 39 n 7 38 n 7 37 n 7 n ((n - 1) ) 17 n ((n - 1) ) 1223 n ((n - 1) ) + -------------------- - ------------------- + -------------------- 32 n 7 32 n 7 32 n 7 1728 (n - 1) (n ) 576 (n - 1) (n ) 1728 (n - 1) (n ) 36 n 7 35 n 7 34 n 7 18323 n ((n - 1) ) 64063 n ((n - 1) ) 1498693 n ((n - 1) ) - --------------------- + --------------------- - ----------------------- 32 n 7 32 n 7 32 n 7 1728 (n - 1) (n ) 576 (n - 1) (n ) 1728 (n - 1) (n ) 33 n 7 32 n 7 9004373 n ((n - 1) ) 14206427 n ((n - 1) ) + ----------------------- - ------------------------ 32 n 7 32 n 7 1728 (n - 1) (n ) 576 (n - 1) (n ) 31 n 7 30 n 7 80550503 n ((n - 1) ) 122491405 n ((n - 1) ) + ------------------------ - ------------------------- 32 n 7 32 n 7 864 (n - 1) (n ) 432 (n - 1) (n ) 29 n 7 28 n 7 50075909 n ((n - 1) ) 148243091 n ((n - 1) ) + ------------------------ - ------------------------- 32 n 7 32 n 7 72 (n - 1) (n ) 108 (n - 1) (n ) 27 n 7 26 n 7 38942743 n ((n - 1) ) 2686481 n ((n - 1) ) + ------------------------ - ----------------------- 32 n 7 32 n 7 18 (n - 1) (n ) (n - 1) (n ) 25 n 7 24 n 7 2570338 n ((n - 1) ) 1828416 n ((n - 1) ) + ----------------------- - ----------------------- 32 n 7 32 n 7 (n - 1) (n ) (n - 1) (n ) 23 n 7 22 n 7 910656 n ((n - 1) ) 283392 n ((n - 1) ) + ---------------------- - ---------------------- 32 n 7 32 n 7 (n - 1) (n ) (n - 1) (n ) 29 n 3 n 28 n 3 n 1006597 n ((n - 1) ) (n - 4) 32731549 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 12 n 4 14 12 n 4 14 2592 (n - 1) (n ) (n - 4) 5184 (n - 1) (n ) (n - 4) 31 n 2 n 30 n 2 n n ((n - 1) ) (n - 5) 139 n ((n - 1) ) (n - 5) + ----------------------------- - ----------------------------- 8 n 3 16 8 n 3 16 3456 (n - 1) (n ) (n - 5) 3456 (n - 1) (n ) (n - 5) 21 n 4 20 n 4 19 n 4 n ((n - 1) ) n ((n - 1) ) 127 n ((n - 1) ) - ------------------ + ----------------- - ------------------- 17 n 4 17 n 4 17 n 4 48 (n - 1) (n ) 2 (n - 1) (n ) 24 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 389 n ((n - 1) ) 2027 n ((n - 1) ) 3931 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 17 n 4 17 n 4 17 n 4 12 (n - 1) (n ) 16 (n - 1) (n ) 12 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 1121 n ((n - 1) ) 612 n ((n - 1) ) 387 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 17 n 4 17 n 4 17 n 4 2 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 14 n 13 n 12 n 5 n (n - 4) 1601 n (n - 4) 1045 n (n - 4) - -------------- + ----------------- - ----------------- n 11 n 11 n 11 4 n (n - 4) 48 n (n - 4) 2 n (n - 4) 11 n 10 n 9 n 85481 n (n - 4) 149985 n (n - 4) 8873843 n (n - 4) + ------------------ - ------------------- + ------------------- n 11 n 11 n 11 16 n (n - 4) 4 n (n - 4) 48 n (n - 4) 8 n 7 n 6 n 643885 n (n - 4) 4706416 n (n - 4) 2601115 n (n - 4) - ------------------ + ------------------- - ------------------- n 11 n 11 n 11 n (n - 4) 3 n (n - 4) n (n - 4) 5 n 4 n 15 n 2776947 n (n - 4) 1706580 n (n - 4) n (n - 4) + ------------------- - ------------------- + --------------- n 11 n 11 n 11 n (n - 4) n (n - 4) 48 n (n - 4) 3 n 18 n n 453600 n (n - 4) 14 n (n - 1) (n - 3) + ------------------ + -------------------------- n 11 5 n 2 10 n (n - 4) 9 (n - 1) (n ) (n - 3) 17 n n 16 n n 1409 n (n - 1) (n - 3) 5269 n (n - 1) (n - 3) - --------------------------- + -------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 15 n n 14 n n 23219 n (n - 1) (n - 3) 120784 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 4 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n n 12 n n 7230227 n (n - 1) (n - 3) 6561457 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n n 10 n n 17318500 n (n - 1) (n - 3) 32795324 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 14418572 n (n - 1) (n - 3) 4174336 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 2134848 n (n - 1) (n - 3) 483840 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 18 n 17 n 7 n (n - 5) 175 n (n - 5) 1001 n (n - 5) + ---------------- - ---------------- + ----------------- n 14 n 14 n 14 288 n (n - 5) 72 n (n - 5) 9 n (n - 5) 16 n 15 n 14 n 222355 n (n - 5) 8377187 n (n - 5) 56696185 n (n - 5) - ------------------- + -------------------- - --------------------- n 14 n 14 n 14 72 n (n - 5) 144 n (n - 5) 72 n (n - 5) 13 n 12 n 284887603 n (n - 5) 4331372045 n (n - 5) + ---------------------- - ----------------------- n 14 n 14 36 n (n - 5) 72 n (n - 5) 11 n 10 n 100559389931 n (n - 5) 27907324445 n (n - 5) + ------------------------- - ------------------------ n 14 n 14 288 n (n - 5) 18 n (n - 5) 6 n 5 n 33140541630 n (n - 5) 29391155976 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 n (n - 5) n (n - 5) 8 n 9 n 239919594005 n (n - 5) 47174489908 n (n - 5) - ------------------------ + ----------------------- n 14 n 14 18 n (n - 5) 9 n (n - 5) 4 n 7 n 15486740640 n (n - 5) 149671037131 n (n - 5) - ----------------------- + ------------------------ n 14 n 14 n (n - 5) 6 n (n - 5) 3 n 28 n 2 n 3632428800 n (n - 5) 55811 n ((n - 1) ) (n - 5) + ---------------------- - ------------------------------ n 14 10 n 3 14 n (n - 5) 432 (n - 1) (n ) (n - 5) 27 n 2 n 26 n 2 n 296771 n ((n - 1) ) (n - 5) 7904395 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 10 n 3 14 10 n 3 14 96 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 25 n 2 n 24 n 2 n 648919121 n ((n - 1) ) (n - 5) 438316013 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 10 n 3 14 10 n 3 14 864 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 23 n 2 n 121750257941 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 14 1728 (n - 1) (n ) (n - 5) 22 n 2 n 429256529971 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 14 864 (n - 1) (n ) (n - 5) 21 n 2 n 1651388831755 n ((n - 1) ) (n - 5) + -------------------------------------- 10 n 3 14 576 (n - 1) (n ) (n - 5) 20 n 2 n 1957836167339 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 14 144 (n - 1) (n ) (n - 5) 19 n 2 n 22921904567461 n ((n - 1) ) (n - 5) + --------------------------------------- 10 n 3 14 432 (n - 1) (n ) (n - 5) 18 n 2 n 18380115830899 n ((n - 1) ) (n - 5) - --------------------------------------- 10 n 3 14 108 (n - 1) (n ) (n - 5) 23 n 3 n 22 n 3 n 24351865 n ((n - 1) ) (n - 3) 46395575 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 12 n 4 11 12 n 4 11 144 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 21 n 3 n 1234976215 n ((n - 1) ) (n - 3) - ----------------------------------- 12 n 4 11 288 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 2139242765 n ((n - 1) ) (n - 3) 964930163 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 12 n 4 11 12 n 4 11 144 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 3043621429 n ((n - 1) ) (n - 3) 272953767 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 12 n 4 11 12 n 4 11 36 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 165592847 n ((n - 1) ) (n - 3) 145836822 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 12 n 4 11 12 n 4 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 87824844 n ((n - 1) ) (n - 3) 32272560 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 12 n 4 11 12 n 4 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 27 n 2 n 5443200 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) + -------------------------------- + --------------------------- 12 n 4 11 8 n 3 13 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 310507 n ((n - 1) ) (n - 4) 12113969 n ((n - 1) ) (n - 4) + ------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 16 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 29644759 n ((n - 1) ) (n - 4) 37214385 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 12 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 2 n 21 n 6 10493876965 n ((n - 1) ) (n - 4) 261858 n ((n - 1) ) + ------------------------------------ - ---------------------- 8 n 3 13 27 n 6 96 (n - 1) (n ) (n - 4) (n - 1) (n ) 20 n 6 19 n 6 29 n 5 159192 n ((n - 1) ) 59616 n ((n - 1) ) n ((n - 1) ) + ---------------------- - --------------------- + -------------------- 27 n 6 27 n 6 24 n 5 (n - 1) (n ) (n - 1) (n ) 2592 (n - 1) (n ) 28 n 5 27 n 5 26 n 5 41 n ((n - 1) ) 97 n ((n - 1) ) 4493 n ((n - 1) ) - -------------------- + ------------------- - -------------------- 24 n 5 24 n 5 24 n 5 2592 (n - 1) (n ) 324 (n - 1) (n ) 1296 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 23707 n ((n - 1) ) 135655 n ((n - 1) ) 868075 n ((n - 1) ) + --------------------- - ---------------------- + ---------------------- 24 n 5 24 n 5 24 n 5 864 (n - 1) (n ) 864 (n - 1) (n ) 1296 (n - 1) (n ) 22 n 5 21 n 5 701165 n ((n - 1) ) 431000 n ((n - 1) ) - ---------------------- + ---------------------- 24 n 5 24 n 5 324 (n - 1) (n ) 81 (n - 1) (n ) 20 n 5 19 n 5 1605065 n ((n - 1) ) 371321 n ((n - 1) ) - ----------------------- + ---------------------- 24 n 5 24 n 5 162 (n - 1) (n ) 27 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 124192 n ((n - 1) ) 28384 n ((n - 1) ) 3968 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 24 n 5 24 n 5 24 n 5 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 21 n 19 n 20 n n (n - 5) 427 n (n - 5) 43 n (n - 5) + ----------------- + ---------------- - ---------------- n 16 n 16 n 16 2592 n (n - 5) 144 n (n - 5) 864 n (n - 5) 18 n 17 n 16 n 7799 n (n - 5) 1173197 n (n - 5) 7138411 n (n - 5) - ----------------- + -------------------- - -------------------- n 16 n 16 n 16 72 n (n - 5) 432 n (n - 5) 144 n (n - 5) 15 n 14 n 220969229 n (n - 5) 1560050089 n (n - 5) + ---------------------- - ----------------------- n 16 n 16 324 n (n - 5) 216 n (n - 5) 13 n 12 n 17168408257 n (n - 5) 111128444713 n (n - 5) + ------------------------ - ------------------------- n 16 n 16 288 n (n - 5) 288 n (n - 5) 11 n 10 n 847048907263 n (n - 5) 140263145113 n (n - 5) + ------------------------- - ------------------------- n 16 n 16 432 n (n - 5) 18 n (n - 5) 6 n 5 n 372730666964 n (n - 5) 105156994640 n (n - 5) - ------------------------ + ------------------------ n 16 n 16 3 n (n - 5) n (n - 5) 8 n 9 n 3047667843847 n (n - 5) 1944283364207 n (n - 5) - ------------------------- + ------------------------- n 16 n 16 54 n (n - 5) 81 n (n - 5) 4 n 7 n 53294539200 n (n - 5) 889850451833 n (n - 5) - ----------------------- + ------------------------ n 16 n 16 n (n - 5) 9 n (n - 5) 3 n 21 n 2 n 12108096000 n (n - 5) n ((n - 1) ) (n - 2) + ----------------------- + --------------------------- n 16 10 n 3 7 n (n - 5) 72 (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n 13 n ((n - 1) ) (n - 2) 343 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 7 10 n 3 7 24 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 1199 n ((n - 1) ) (n - 2) 16691 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 7 10 n 3 7 12 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 27063 n ((n - 1) ) (n - 2) 106051 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 8 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 88768 n ((n - 1) ) (n - 2) 477932 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 199006 n ((n - 1) ) (n - 2) 54648 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 26592 n ((n - 1) ) (n - 2) 5760 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n n 21 n 22 n n (n - 1) (n - 3) 10475 n (n - 6) 25 n (n - 6) - --------------------------- + ------------------ - --------------- 5 n 2 10 n 17 n 17 36 (n - 1) (n ) (n - 3) 288 n (n - 6) 48 n (n - 6) 19 n 20 n 23 n 2258351 n (n - 6) 75415 n (n - 6) n (n - 6) + -------------------- - ------------------ + ---------------- n 17 n 17 n 17 48 n (n - 6) 48 n (n - 6) 288 n (n - 6) 18 n 17 n 16 n 8299315 n (n - 6) 2514603875 n (n - 6) 5510228615 n (n - 6) - -------------------- + ----------------------- - ----------------------- n 17 n 17 n 17 8 n (n - 6) 144 n (n - 6) 24 n (n - 6) 15 n 14 n 689068603301 n (n - 6) 957105541405 n (n - 6) + ------------------------- - ------------------------- n 17 n 17 288 n (n - 6) 48 n (n - 6) 13 n 12 n 12815607813125 n (n - 6) 11496585300265 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 96 n (n - 6) 16 n (n - 6) 11 n 10 n 55809768372661 n (n - 6) 63930789769865 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 18 n (n - 6) 6 n (n - 6) 6 n 5 n 109809682911120 n (n - 6) 85894676913600 n (n - 6) - --------------------------- + -------------------------- n 17 n 17 n (n - 6) n (n - 6) 8 n 9 n 181321868222035 n (n - 6) 519105720568475 n (n - 6) - --------------------------- + --------------------------- n 17 n 17 3 n (n - 6) 18 n (n - 6) 4 n 7 n 40660498368000 n (n - 6) 95616481117132 n (n - 6) - -------------------------- + -------------------------- n 17 n 17 n (n - 6) n (n - 6) 3 n 17 n 16 n 8717829120000 n (n - 6) n (n - 4) 83 n (n - 4) + ------------------------- + --------------- - --------------- n 17 n 13 n 13 n (n - 6) 72 n (n - 4) 72 n (n - 4) 15 n 14 n 13 n 3113 n (n - 4) 69823 n (n - 4) 348205 n (n - 4) + ----------------- - ------------------ + ------------------- n 13 n 13 n 13 72 n (n - 4) 72 n (n - 4) 24 n (n - 4) 12 n 11 n 10 n 3669523 n (n - 4) 84120179 n (n - 4) 472581109 n (n - 4) - -------------------- + --------------------- - ---------------------- n 13 n 13 n 13 24 n (n - 4) 72 n (n - 4) 72 n (n - 4) 6 n 5 n 8 n 272615694 n (n - 4) 270841296 n (n - 4) 742058746 n (n - 4) - --------------------- + --------------------- - --------------------- n 13 n 13 n 13 n (n - 4) n (n - 4) 9 n (n - 4) 9 n 4 n 7 n 489374743 n (n - 4) 157134240 n (n - 4) 539369792 n (n - 4) + --------------------- - --------------------- + --------------------- n 13 n 13 n 13 18 n (n - 4) n (n - 4) 3 n (n - 4) 3 n 13 n 12 n 39916800 n (n - 4) 7 n (n - 3) 329 n (n - 3) + -------------------- + --------------- - ---------------- n 13 n 10 n 10 n (n - 4) 72 n (n - 3) 72 n (n - 3) 11 n 10 n 9 n 280 n (n - 3) 13055 n (n - 3) 191737 n (n - 3) + ---------------- - ------------------ + ------------------ n 10 n 10 n 10 3 n (n - 3) 12 n (n - 3) 24 n (n - 3) 8 n 7 n 6 n 923699 n (n - 3) 4418155 n (n - 3) 4585105 n (n - 3) - ------------------ + ------------------- - ------------------- n 10 n 10 n 10 24 n (n - 3) 36 n (n - 3) 18 n (n - 3) 5 n 4 n 3 n 327831 n (n - 3) 234892 n (n - 3) 70560 n (n - 3) + ------------------ - ------------------ + ----------------- n 10 n 10 n 10 n (n - 3) n (n - 3) n (n - 3) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n + --------------- - --------------- + -------------- 7 n 7 n 7 n 3 (n - 2) n (n - 2) n (n - 2) n 35 n 4 n 34 n 4 n n ((n - 1) ) (n - 3) 35 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 19 n 5 9 19 n 5 9 864 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 37259 n ((n - 1) ) (n - 3) 74203 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 19 n 5 9 19 n 5 9 48 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 14591071 n ((n - 1) ) (n - 3) 94444597 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 19 n 5 9 19 n 5 9 216 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 1962245377 n ((n - 1) ) (n - 3) 458911949 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 19 n 5 9 19 n 5 9 864 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 25 n 4 n 33 n 4 n 787188701 n ((n - 1) ) (n - 3) 287 n ((n - 1) ) (n - 3) + ---------------------------------- + ---------------------------- 19 n 5 9 19 n 5 9 24 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 32 n 4 n 24 n 4 n 3911 n ((n - 1) ) (n - 3) 3307166375 n ((n - 1) ) (n - 3) - ----------------------------- - ----------------------------------- 19 n 5 9 19 n 5 9 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 23 n 4 n 11323410271 n ((n - 1) ) (n - 3) + ------------------------------------ 19 n 5 9 54 (n - 1) (n ) (n - 3) 22 n 4 n 10474474271 n ((n - 1) ) (n - 3) - ------------------------------------ 19 n 5 9 27 (n - 1) (n ) (n - 3) 21 n 4 n 15551363966 n ((n - 1) ) (n - 3) + ------------------------------------ 19 n 5 9 27 (n - 1) (n ) (n - 3) 20 n 4 n 6080431028 n ((n - 1) ) (n - 3) - ----------------------------------- 19 n 5 9 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1833807328 n ((n - 1) ) (n - 3) 411019392 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 19 n 5 9 19 n 5 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 193141248 n ((n - 1) ) (n - 3) 56521728 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 19 n 5 9 19 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 30 n 3 n 7741440 n ((n - 1) ) (n - 3) 7481 n ((n - 1) ) (n - 4) + -------------------------------- + ----------------------------- 19 n 5 9 15 n 4 11 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 264911 n ((n - 1) ) (n - 4) 387241 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------- 15 n 4 11 15 n 4 11 432 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 31 n 2 n 30 n 2 n n ((n - 1) ) (n - 5) 4 n ((n - 1) ) (n - 5) + ---------------------------- - --------------------------- 9 n 3 15 9 n 3 15 864 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 5) 25 n 2 n 26 n 2 n 1032267821 n ((n - 1) ) (n - 5) 1461565 n ((n - 1) ) (n - 5) + ----------------------------------- - -------------------------------- 9 n 3 15 9 n 3 15 432 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 24 n 2 n 5984426309 n ((n - 1) ) (n - 5) - ----------------------------------- 9 n 3 15 216 (n - 1) (n ) (n - 5) 23 n 2 n 222365010821 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 3 15 864 (n - 1) (n ) (n - 5) 22 n 2 n 209194578479 n ((n - 1) ) (n - 5) - ------------------------------------- 9 n 3 15 108 (n - 1) (n ) (n - 5) 21 n 2 n 1142124758125 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 3 15 96 (n - 1) (n ) (n - 5) 20 n 2 n 8622645608213 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 15 144 (n - 1) (n ) (n - 5) 19 n 2 n 53415149946421 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 15 216 (n - 1) (n ) (n - 5) 18 n 2 n 90383263741183 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 3 15 108 (n - 1) (n ) (n - 5) 17 n 2 n 124808091178583 n ((n - 1) ) (n - 5) + ---------------------------------------- 9 n 3 15 54 (n - 1) (n ) (n - 5) 16 n 2 n 139617923545445 n ((n - 1) ) (n - 5) - ---------------------------------------- 9 n 3 15 27 (n - 1) (n ) (n - 5) 12 n 2 n 21 n 7 11364481794048 n ((n - 1) ) (n - 5) 41472 n ((n - 1) ) - --------------------------------------- + --------------------- 9 n 3 15 32 n 7 (n - 1) (n ) (n - 5) (n - 1) (n ) 35 n 5 n 26 n 5 n 41 n ((n - 1) ) (n - 2) 158371867 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------------- 24 n 6 6 24 n 6 6 96 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 863835811 n ((n - 1) ) (n - 2) 157269847 n ((n - 1) ) (n - 2) - ---------------------------------- + ---------------------------------- 24 n 6 6 24 n 6 6 216 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 27 n 5 26 n 5 25 n 5 n ((n - 1) ) 11 n ((n - 1) ) 62 n ((n - 1) ) + ------------------ - ------------------ + ------------------ 22 n 5 22 n 5 22 n 5 72 (n - 1) (n ) 24 (n - 1) (n ) 9 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 2245 n ((n - 1) ) 27265 n ((n - 1) ) 117005 n ((n - 1) ) - -------------------- + --------------------- - ---------------------- 22 n 5 22 n 5 22 n 5 36 (n - 1) (n ) 72 (n - 1) (n ) 72 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 20215 n ((n - 1) ) 103285 n ((n - 1) ) 56660 n ((n - 1) ) + --------------------- - ---------------------- + --------------------- 22 n 5 22 n 5 22 n 5 4 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 21970 n ((n - 1) ) 17148 n ((n - 1) ) 8064 n ((n - 1) ) - --------------------- + --------------------- - -------------------- 22 n 5 22 n 5 22 n 5 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 22 n n 21 n n 14239 n (n - 1) (n - 5) 609733 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 5 n 2 14 5 n 2 14 12 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 20 n n 19 n n 9558757 n (n - 1) (n - 5) 85305773 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 14 5 n 2 14 24 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 18 n n 17 n n 1576282279 n (n - 1) (n - 5) 15294678035 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 5 n 2 14 5 n 2 14 36 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 16 n n 15 n n 88414895855 n (n - 1) (n - 5) 203776053611 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 48 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 14 n n 13 n n 187189517411 n (n - 1) (n - 5) 818734102762 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 6 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 9 n n 8 n n 486444614016 n (n - 1) (n - 5) 325924245504 n (n - 1) (n - 5) - --------------------------------- + --------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 370320947682 n (n - 1) (n - 5) 1877133244513 n (n - 1) (n - 5) - ---------------------------------- + ----------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 7 n n 10 n n 133178549760 n (n - 1) (n - 5) 497241535808 n (n - 1) (n - 5) - --------------------------------- + ---------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 18 n 6 24908083200 n (n - 1) (n - 5) 6912 n ((n - 1) ) + -------------------------------- - -------------------- 5 n 2 14 28 n 6 (n - 1) (n ) (n - 5) (n - 1) (n ) 21 n 4 n 20 n 4 n 4398523481 n ((n - 1) ) (n - 3) 839197771 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 20 n 5 8 20 n 5 8 162 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 247401452 n ((n - 1) ) (n - 3) 18095584 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 20 n 5 8 20 n 5 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 8336896 n ((n - 1) ) (n - 3) 2395392 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 20 n 5 8 20 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 35 n 4 n 322560 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------- + ------------------------------ 20 n 5 8 20 n 5 8 (n - 1) (n ) (n - 3) 10368 (n - 1) (n ) (n - 3) 34 n 4 n 33 n 4 n 11 n ((n - 1) ) (n - 3) 16 n ((n - 1) ) (n - 3) - ----------------------------- + --------------------------- 20 n 5 8 20 n 5 8 1728 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 36 n 5 n 37 n 5 n 29 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 23 n 6 7 23 n 6 7 432 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 34 n 5 n 35 n 5 n 3359 n ((n - 1) ) (n - 2) 395 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 23 n 6 7 23 n 6 7 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 33 n 5 n 32 n 5 n 159949 n ((n - 1) ) (n - 2) 708043 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 23 n 6 7 23 n 6 7 432 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 31 n 5 n 30 n 5 n 805745 n ((n - 1) ) (n - 2) 3256294 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 23 n 6 7 23 n 6 7 36 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 449638141 n ((n - 1) ) (n - 2) 783650125 n ((n - 1) ) (n - 2) - ---------------------------------- + ---------------------------------- 23 n 6 7 23 n 6 7 864 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 27 n 5 n 1107699709 n ((n - 1) ) (n - 2) - ----------------------------------- 23 n 6 7 216 (n - 1) (n ) (n - 2) 26 n 5 n 1269697021 n ((n - 1) ) (n - 2) + ----------------------------------- 23 n 6 7 108 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 1175135375 n ((n - 1) ) (n - 2) 22592640 n ((n - 1) ) (n - 2) - ----------------------------------- - --------------------------------- 23 n 6 7 23 n 6 7 54 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 23 n 5 n 10530432 n ((n - 1) ) (n - 2) 37639082 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 23 n 6 7 23 n 6 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 5 n 19 n 5 n 290105357 n ((n - 1) ) (n - 2) 3055104 n ((n - 1) ) (n - 2) + ---------------------------------- - -------------------------------- 23 n 6 7 23 n 6 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 18 n 5 n 33846548 n ((n - 1) ) (n - 2) 414720 n ((n - 1) ) (n - 2) + --------------------------------- + ------------------------------- 23 n 6 7 23 n 6 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 25 n 2 n 24 n 2 n n ((n - 1) ) (n - 3) 65 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n 1939 n ((n - 1) ) (n - 3) 26213969 n ((n - 1) ) (n - 3) + ----------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 134017783 n ((n - 1) ) (n - 3) 264129073 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 100660267 n ((n - 1) ) (n - 3) 236542400 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 423798223 n ((n - 1) ) (n - 3) 189089270 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 20298232 n ((n - 1) ) (n - 3) 13337056 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 31 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 211 n ((n - 1) ) (n - 2) 1661 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 16745 n ((n - 1) ) (n - 2) 56455 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 8053 n ((n - 1) ) (n - 2) 12273 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 11934 n ((n - 1) ) (n - 2) 6669 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n n 1620 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - -------------------------- 8 n 3 7 4 n 2 9 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 3) 16 n n 24 n n 43 n (n - 1) (n - 3) 72123739 n (n - 1) (n - 6) + -------------------------- + ------------------------------ 4 n 2 9 5 n 2 17 16 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 6) 25 n n 22 n n 8949233 n (n - 1) (n - 6) 19913162419 n (n - 1) (n - 6) - ----------------------------- + --------------------------------- 5 n 2 17 5 n 2 17 1296 (n - 1) (n ) (n - 6) 432 (n - 1) (n ) (n - 6) 23 n n 26 n n 4040674163 n (n - 1) (n - 6) 183563 n (n - 1) (n - 6) - -------------------------------- + ---------------------------- 5 n 2 17 5 n 2 17 1296 (n - 1) (n ) (n - 6) 864 (n - 1) (n ) (n - 6) 21 n n 1422103303381 n (n - 1) (n - 6) - ----------------------------------- 5 n 2 17 2592 (n - 1) (n ) (n - 6) 20 n n 4594714330673 n (n - 1) (n - 6) + ----------------------------------- 5 n 2 17 864 (n - 1) (n ) (n - 6) 19 n n 109633252202191 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 17 2592 (n - 1) (n ) (n - 6) 18 n n 239602019099183 n (n - 1) (n - 6) + ------------------------------------- 5 n 2 17 864 (n - 1) (n ) (n - 6) 17 n n 486605464998947 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 17 324 (n - 1) (n ) (n - 6) 16 n n 1450700853140477 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 17 216 (n - 1) (n ) (n - 6) 15 n n 4006698825151171 n (n - 1) (n - 6) - -------------------------------------- 5 n 2 17 162 (n - 1) (n ) (n - 6) 14 n n 4028639579147273 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 17 54 (n - 1) (n ) (n - 6) 13 n n 14806121571154448 n (n - 1) (n - 6) - --------------------------------------- 5 n 2 17 81 (n - 1) (n ) (n - 6) 9 n n 582595144894720 n (n - 1) (n - 6) - ------------------------------------ 5 n 2 17 (n - 1) (n ) (n - 6) 8 n n 355233962841600 n (n - 1) (n - 6) + ------------------------------------ 5 n 2 17 (n - 1) (n ) (n - 6) 11 n n 5010785277935392 n (n - 1) (n - 6) - -------------------------------------- 5 n 2 17 9 (n - 1) (n ) (n - 6) 12 n n 15 n n 9701865494942734 n (n - 1) (n - 6) 407 n (n - 1) (n - 3) + -------------------------------------- - ------------------------- 5 n 2 17 4 n 2 9 27 (n - 1) (n ) (n - 6) 8 (n - 1) (n ) (n - 3) 14 n n 13 n n 4473 n (n - 1) (n - 3) 63369 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 8 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 12 n n 11 n n 303555 n (n - 1) (n - 3) 125341 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 16 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 10 n n 9 n n 142649 n (n - 1) (n - 3) 219050 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 215817 n (n - 1) (n - 3) 122508 n (n - 1) (n - 3) + --------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 10 n 30240 n (n - 1) (n - 3) 200703041 n (n - 4) + -------------------------- + ---------------------- 4 n 2 9 n 12 (n - 1) (n ) (n - 3) 48 n (n - 4) 6 n 5 n 8 n 219724484 n (n - 4) 225770979 n (n - 4) 181682347 n (n - 4) + --------------------- - --------------------- + --------------------- n 12 n 12 n 12 n (n - 4) n (n - 4) 3 n (n - 4) 9 n 4 n 15 n 899631271 n (n - 4) 134581860 n (n - 4) 497 n (n - 4) - --------------------- + --------------------- - ---------------- n 12 n 12 n 12 48 n (n - 4) n (n - 4) 48 n (n - 4) 16 n 14 n 12 n 7 n (n - 4) 15827 n (n - 4) 1242087 n (n - 4) + --------------- + ------------------ + -------------------- n 12 n 12 n 12 48 n (n - 4) 48 n (n - 4) 16 n (n - 4) 11 n 13 n 7 n 10781617 n (n - 4) 298837 n (n - 4) 417017447 n (n - 4) - --------------------- - ------------------- - --------------------- n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 3 n (n - 4) 3 n 11 n 2 n 34927200 n (n - 4) 6328743330816 n ((n - 1) ) (n - 5) - -------------------- + -------------------------------------- n 12 9 n 3 15 n (n - 4) (n - 1) (n ) (n - 5) 14 n 2 n 39232844119252 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 3 15 3 (n - 1) (n ) (n - 5) 15 n 2 n 83397504150482 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 15 9 (n - 1) (n ) (n - 5) 10 n 2 n 2180002083840 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 15 (n - 1) (n ) (n - 5) 13 n 2 n 14177303147904 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 15 (n - 1) (n ) (n - 5) 9 n 2 n 28 n 2 n 348713164800 n ((n - 1) ) (n - 5) 141887 n ((n - 1) ) (n - 5) + ------------------------------------ - ------------------------------- 9 n 3 15 9 n 3 15 (n - 1) (n ) (n - 5) 432 (n - 1) (n ) (n - 5) 27 n 2 n 29 n 2 n 1222033 n ((n - 1) ) (n - 5) 7649 n ((n - 1) ) (n - 5) + -------------------------------- + ----------------------------- 9 n 3 15 9 n 3 15 144 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 5) 33 n 6 32 n 6 31 n 6 n ((n - 1) ) 7 n ((n - 1) ) 91 n ((n - 1) ) - ------------------- + ------------------ - ------------------ 27 n 6 27 n 6 27 n 6 288 (n - 1) (n ) 48 (n - 1) (n ) 32 (n - 1) (n ) 30 n 6 29 n 6 28 n 6 2459 n ((n - 1) ) 27121 n ((n - 1) ) 81839 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 27 n 6 27 n 6 27 n 6 72 (n - 1) (n ) 96 (n - 1) (n ) 48 (n - 1) (n ) 27 n 6 26 n 6 2233565 n ((n - 1) ) 27075 n ((n - 1) ) - ----------------------- + --------------------- 27 n 6 27 n 6 288 (n - 1) (n ) (n - 1) (n ) 25 n 6 24 n 6 1755425 n ((n - 1) ) 2752285 n ((n - 1) ) - ----------------------- + ----------------------- 27 n 6 27 n 6 24 (n - 1) (n ) 18 (n - 1) (n ) 23 n 6 22 n 6 21 n 490679 n ((n - 1) ) 296724 n ((n - 1) ) 248169943 n (n - 7) - ---------------------- + ---------------------- - ---------------------- 27 n 6 27 n 6 n 19 2 (n - 1) (n ) (n - 1) (n ) 1728 n (n - 7) 20 n 19 n 17856185657 n (n - 7) 339155284741 n (n - 7) + ------------------------ - ------------------------- n 19 n 19 5184 n (n - 7) 5184 n (n - 7) 18 n 17 n 10371510111281 n (n - 7) 129077588515183 n (n - 7) + --------------------------- - ---------------------------- n 19 n 19 10368 n (n - 7) 10368 n (n - 7) 16 n 15 n 438971052035963 n (n - 7) 3686483409406819 n (n - 7) + ---------------------------- - ----------------------------- n 19 n 19 3456 n (n - 7) 3456 n (n - 7) 14 n 13 n 38281736671986743 n (n - 7) 109133547140156987 n (n - 7) + ------------------------------ - ------------------------------- n 19 n 19 5184 n (n - 7) 2592 n (n - 7) 12 n 11 n 255376123474265923 n (n - 7) 487592406213459337 n (n - 7) + ------------------------------- - ------------------------------- n 19 n 19 1296 n (n - 7) 648 n (n - 7) 10 n 9 n 83634620696532937 n (n - 7) 34342839635499311 n (n - 7) + ------------------------------ - ----------------------------- n 19 n 19 36 n (n - 7) 6 n (n - 7) 8 n 7 n 11045952476958223 n (n - 7) 16255677227190324 n (n - 7) + ----------------------------- - ----------------------------- n 19 n 19 n (n - 7) n (n - 7) 10 n 2 n 9 n 2 n 5318016 n ((n - 1) ) (n - 3) 967680 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n n 19 n n 589 n (n - 1) (n - 4) 42943 n (n - 1) (n - 4) - -------------------------- + --------------------------- 4 n 2 13 4 n 2 13 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 18 n n 17 n n 176551 n (n - 1) (n - 4) 2775097 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 4 n 2 13 4 n 2 13 6 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 16 n n 15 n n 72715357 n (n - 1) (n - 4) 479616709 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 13 4 n 2 13 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 14 n n 13 n n 1608375197 n (n - 1) (n - 4) 9279725741 n (n - 1) (n - 4) - -------------------------------- + -------------------------------- 4 n 2 13 4 n 2 13 16 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 9 n n 8 n n 4720552326 n (n - 1) (n - 4) 3675953664 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 2499406767 n (n - 1) (n - 4) 6796527335 n (n - 1) (n - 4) + -------------------------------- - -------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 7 n n 10 n n 1713584160 n (n - 1) (n - 4) 4068989025 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 22 n n 359251200 n (n - 1) (n - 4) n (n - 1) (n - 4) - ------------------------------ - --------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 32 n 3 n 31 n 3 n 29 n ((n - 1) ) (n - 4) 1771 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------ 15 n 4 11 15 n 4 11 864 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 33 n 3 n 26 n 3 n n ((n - 1) ) (n - 4) 35485781 n ((n - 1) ) (n - 4) - ------------------------------ + --------------------------------- 15 n 4 11 15 n 4 11 2592 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 25 n 3 n 27 n 3 n 10986185333 n ((n - 1) ) (n - 4) 53062027 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 15 n 4 11 15 n 4 11 2592 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 23 n 3 n 41124540121 n ((n - 1) ) (n - 4) - ------------------------------------ 15 n 4 11 432 (n - 1) (n ) (n - 4) 22 n 3 n 8034740189 n ((n - 1) ) (n - 4) + ----------------------------------- 15 n 4 11 24 (n - 1) (n ) (n - 4) 21 n 3 n 313028742719 n ((n - 1) ) (n - 4) - ------------------------------------- 15 n 4 11 324 (n - 1) (n ) (n - 4) 20 n 3 n 123177487199 n ((n - 1) ) (n - 4) + ------------------------------------- 15 n 4 11 54 (n - 1) (n ) (n - 4) 19 n 3 n 354587375713 n ((n - 1) ) (n - 4) - ------------------------------------- 15 n 4 11 81 (n - 1) (n ) (n - 4) 18 n 3 n 182415047134 n ((n - 1) ) (n - 4) + ------------------------------------- 15 n 4 11 27 (n - 1) (n ) (n - 4) 17 n 3 n 74246812076 n ((n - 1) ) (n - 4) - ------------------------------------ 15 n 4 11 9 (n - 1) (n ) (n - 4) 16 n 3 n 7777189344 n ((n - 1) ) (n - 4) + ----------------------------------- 15 n 4 11 (n - 1) (n ) (n - 4) 15 n 3 n 5451197824 n ((n - 1) ) (n - 4) - ----------------------------------- 15 n 4 11 (n - 1) (n ) (n - 4) 14 n 3 n 13 n 3 n 2670254592 n ((n - 1) ) (n - 4) 814279680 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 15 n 4 11 15 n 4 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 3 n 19190253833 n ((n - 1) ) (n - 4) + ------------------------------------ 15 n 4 11 864 (n - 1) (n ) (n - 4) 12 n 3 n 116121600 n ((n - 1) ) (n - 4) + ---------------------------------- 15 n 4 11 (n - 1) (n ) (n - 4) 17 n 2 n 48252997028363 n ((n - 1) ) (n - 5) + --------------------------------------- 10 n 3 14 108 (n - 1) (n ) (n - 5) 16 n 2 n 25731563352035 n ((n - 1) ) (n - 5) - --------------------------------------- 10 n 3 14 27 (n - 1) (n ) (n - 5) 12 n 2 n 1781018012544 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 11 n 2 n 959083077888 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 14 n 2 n 6629977111756 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 14 3 (n - 1) (n ) (n - 5) 15 n 2 n 14696738796041 n ((n - 1) ) (n - 5) + --------------------------------------- 10 n 3 14 9 (n - 1) (n ) (n - 5) 10 n 2 n 320324613120 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 13 n 2 n 2303987798592 n ((n - 1) ) (n - 5) + -------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 9 n 2 n 26 n 4 n 49816166400 n ((n - 1) ) (n - 5) 113371 n ((n - 1) ) (n - 2) + ----------------------------------- - ------------------------------- 10 n 3 14 17 n 5 8 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 1880645 n ((n - 1) ) (n - 2) 7987835 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 5 8 17 n 5 8 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 23 n 4 n 25 n 3 n 35119715 n ((n - 1) ) (n - 2) 39605 n ((n - 1) ) (n - 3) + --------------------------------- - ------------------------------ 17 n 5 8 13 n 4 10 48 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 2202743 n ((n - 1) ) (n - 3) 15385759 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 13 n 4 10 13 n 4 10 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 29 n 3 n 28 n 3 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 13 n 4 10 13 n 4 10 48 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 1003 n ((n - 1) ) (n - 3) 18649 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 13 n 4 10 13 n 4 10 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 27578865 n ((n - 1) ) (n - 3) 693738115 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 8 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 285126155 n ((n - 1) ) (n - 3) 490250973 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 6 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 739718906 n ((n - 1) ) (n - 3) 382212567 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 446876616 n ((n - 1) ) (n - 3) 380483100 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 222201792 n ((n - 1) ) (n - 3) 79413696 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 28 n 4 n 13063680 n ((n - 1) ) (n - 3) 17761429 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 4 10 18 n 5 10 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 27 n 4 n 3088787957 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 10 576 (n - 1) (n ) (n - 3) 26 n 4 n 33 n 4 n 13565471647 n ((n - 1) ) (n - 3) 1313 n ((n - 1) ) (n - 3) - ------------------------------------ + ----------------------------- 18 n 5 10 18 n 5 10 576 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 32 n 4 n 35 n 4 n 14273 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 18 n 5 10 18 n 5 10 144 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 3) 34 n 4 n 31 n 4 n 25 n ((n - 1) ) (n - 3) 432341 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 18 n 5 10 18 n 5 10 192 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 4850359 n ((n - 1) ) (n - 3) 20918201 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 18 n 5 10 18 n 5 10 288 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 25 n 4 n 24210321193 n ((n - 1) ) (n - 3) + ------------------------------------ 18 n 5 10 288 (n - 1) (n ) (n - 3) 24 n 4 n 35184640645 n ((n - 1) ) (n - 3) - ------------------------------------ 18 n 5 10 144 (n - 1) (n ) (n - 3) 23 n 4 n 13857010459 n ((n - 1) ) (n - 3) + ------------------------------------ 18 n 5 10 24 (n - 1) (n ) (n - 3) 22 n 4 n 39717578227 n ((n - 1) ) (n - 3) - ------------------------------------ 18 n 5 10 36 (n - 1) (n ) (n - 3) 21 n 4 n 10128825317 n ((n - 1) ) (n - 3) + ------------------------------------ 18 n 5 10 6 (n - 1) (n ) (n - 3) 20 n 4 n 2036536943 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 10 (n - 1) (n ) (n - 3) 19 n 4 n 1891402434 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 10 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 1303052328 n ((n - 1) ) (n - 3) 626264352 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 18 n 5 10 18 n 5 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 187132032 n ((n - 1) ) (n - 3) 26127360 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 18 n 5 10 18 n 5 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 9 n 3 7 9 n 3 7 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 91 n ((n - 1) ) (n - 2) 835 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 3 7 9 n 3 7 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 10011 n ((n - 1) ) (n - 2) 41145 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 88667 n ((n - 1) ) (n - 2) 177940 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 9 n 3 7 9 n 3 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 81368 n ((n - 1) ) (n - 2) 72540 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 37728 n ((n - 1) ) (n - 2) 8640 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n n 19 n n 190477 n (n - 1) (n - 4) 3059 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 4 n 2 12 4 n 2 12 48 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 17 n n 15 n n 332213 n (n - 1) (n - 4) 192392431 n (n - 1) (n - 4) - ---------------------------- - ------------------------------- 4 n 2 12 4 n 2 12 6 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 14 n n 16 n n 1048607791 n (n - 1) (n - 4) 8794863 n (n - 1) (n - 4) + -------------------------------- + ----------------------------- 4 n 2 12 4 n 2 12 48 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 10 n n 6 n n 2158428293 n (n - 1) (n - 4) 104781600 n (n - 1) (n - 4) + -------------------------------- + ------------------------------ 4 n 2 12 4 n 2 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n n 20 n n 7 n (n - 1) (n - 4) 133 n (n - 1) (n - 4) - --------------------------- + --------------------------- 4 n 2 12 4 n 2 12 96 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 79378283 n ((n - 1) ) (n - 3) 155571668 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 9 n 3 10 9 n 3 10 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 75103258 n ((n - 1) ) (n - 3) 77765508 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 54306144 n ((n - 1) ) (n - 3) 22842432 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 29 n 3 n 4354560 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------- - ----------------------------- 9 n 3 10 12 n 4 11 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 1189 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 12 n 4 11 12 n 4 11 4 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 23923 n ((n - 1) ) (n - 3) 9123 n ((n - 1) ) (n - 3) + ------------------------------ - ----------------------------- 12 n 4 11 12 n 4 11 144 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 24 n 3 n 6 n 3265331 n ((n - 1) ) (n - 3) 17525592484939440 n (n - 7) + -------------------------------- + ----------------------------- 12 n 4 11 n 19 144 (n - 1) (n ) (n - 3) n (n - 7) 5 n 23 n 12976225746523200 n (n - 7) 1151437 n (n - 7) - ----------------------------- - -------------------- n 19 n 19 n (n - 7) 10368 n (n - 7) 22 n 26 n 25 n 999697 n (n - 7) n (n - 7) 203 n (n - 7) + ------------------- + ------------------ - ------------------ n 19 n 19 n 19 216 n (n - 7) 10368 n (n - 7) 10368 n (n - 7) 24 n 3 n 19349 n (n - 7) 1206796631040000 n (n - 7) + ------------------ - ---------------------------- n 19 n 19 10368 n (n - 7) n (n - 7) 34 n 5 n 33 n 5 n 169 n ((n - 1) ) (n - 2) 46895 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 24 n 6 6 24 n 6 6 24 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n 100981 n ((n - 1) ) (n - 2) 2015663 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 24 n 6 6 24 n 6 6 144 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 5300069 n ((n - 1) ) (n - 2) 39737461 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 24 n 6 6 24 n 6 6 216 (n - 1) (n ) (n - 2) 384 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 4236215 n ((n - 1) ) (n - 2) 281651693 n ((n - 1) ) (n - 2) + -------------------------------- - ---------------------------------- 24 n 6 6 24 n 6 6 12 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 36 n 5 n 37 n 5 n 7 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 24 n 6 6 24 n 6 6 432 (n - 1) (n ) (n - 2) 3456 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 1796544 n ((n - 1) ) (n - 2) 514944 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 24 n 6 6 24 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 5931654 n ((n - 1) ) (n - 2) 3904784 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 24 n 6 6 24 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 69120 n ((n - 1) ) (n - 2) 40169065 n ((n - 1) ) (n - 2) + ------------------------------ - --------------------------------- 24 n 6 6 24 n 6 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 32 n 4 n 31 n 4 n 3311 n ((n - 1) ) (n - 3) 90089 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 20 n 5 8 20 n 5 8 864 (n - 1) (n ) (n - 3) 1728 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 25379 n ((n - 1) ) (n - 3) 10750831 n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------------- 20 n 5 8 20 n 5 8 48 (n - 1) (n ) (n - 3) 2592 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 22267411 n ((n - 1) ) (n - 3) 1335687473 n ((n - 1) ) (n - 3) - --------------------------------- + ----------------------------------- 20 n 5 8 20 n 5 8 864 (n - 1) (n ) (n - 3) 10368 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 903982801 n ((n - 1) ) (n - 3) 1499106593 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 20 n 5 8 20 n 5 8 1728 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 225985801 n ((n - 1) ) (n - 3) 6759942013 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 20 n 5 8 20 n 5 8 48 (n - 1) (n ) (n - 3) 648 (n - 1) (n ) (n - 3) 22 n 4 n 2027175587 n ((n - 1) ) (n - 3) - ----------------------------------- 20 n 5 8 108 (n - 1) (n ) (n - 3) 6 n n 22 n 4 n 74101547520000 n (n - 1) (n - 6) 33827705 n ((n - 1) ) (n - 2) + ----------------------------------- - --------------------------------- 4 n 2 18 17 n 5 8 (n - 1) (n ) (n - 6) 18 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 134903269 n ((n - 1) ) (n - 2) 17215774 n ((n - 1) ) (n - 2) + ---------------------------------- - --------------------------------- 17 n 5 8 17 n 5 8 36 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 6614567 n ((n - 1) ) (n - 2) 5545224 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 5 8 17 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 3186684 n ((n - 1) ) (n - 2) 1120608 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 5 8 17 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 31 n 4 n 181440 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------- + ---------------------------- 17 n 5 8 17 n 5 8 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n 13 n ((n - 1) ) (n - 2) 26 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 17 n 5 8 17 n 5 8 36 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 4589 n ((n - 1) ) (n - 2) 92623 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 17 n 5 8 17 n 5 8 36 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 12 n 11 n 10 n 9 n n (n - 3) 19 n (n - 3) 309 n (n - 3) 1407 n (n - 3) + ------------- - --------------- + ---------------- - ---------------- n 9 n 9 n 9 n 9 8 n (n - 3) 4 n (n - 3) 4 n (n - 3) 2 n (n - 3) 8 n 7 n 6 n 31521 n (n - 3) 56091 n (n - 3) 63173 n (n - 3) + ----------------- - ----------------- + ----------------- n 9 n 9 n 9 8 n (n - 3) 4 n (n - 3) 2 n (n - 3) 5 n 4 n 3 n 43229 n (n - 3) 32436 n (n - 3) 10080 n (n - 3) - ----------------- + ----------------- - ----------------- n 9 n 9 n 9 n (n - 3) n (n - 3) n (n - 3) 22 n n 21 n n n (n - 1) (n - 4) 10 n (n - 1) (n - 4) - --------------------------- + -------------------------- 5 n 2 12 5 n 2 12 24 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 20 n n 21 n 3 n 1463 n (n - 1) (n - 4) 52053905 n ((n - 1) ) (n - 3) - --------------------------- - --------------------------------- 5 n 2 12 14 n 4 9 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 327020135 n ((n - 1) ) (n - 3) 101072618 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 14 n 4 9 14 n 4 9 24 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 391164701 n ((n - 1) ) (n - 3) 292515508 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 14 n 4 9 14 n 4 9 6 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 110316918 n ((n - 1) ) (n - 3) 91142520 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 51784416 n ((n - 1) ) (n - 3) 18050688 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 27 n 2 n 2903040 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) + -------------------------------- + ----------------------------- 14 n 4 9 10 n 3 11 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 13 n ((n - 1) ) (n - 4) 469 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 10 n 3 11 10 n 3 11 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 26469 n ((n - 1) ) (n - 4) 1774213 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 10 n 3 11 10 n 3 11 8 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 24 n 2 n 20 n 2 n 10399 n ((n - 1) ) (n - 4) 98692925 n ((n - 1) ) (n - 4) - ------------------------------ - --------------------------------- 10 n 3 11 10 n 3 11 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 19 n 2 n 1018969465 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 96 (n - 1) (n ) (n - 4) 18 n 2 n 1041537805 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 24 (n - 1) (n ) (n - 4) 17 n 2 n 1126937731 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 8 (n - 1) (n ) (n - 4) 16 n 2 n 2172885811 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 6 (n - 1) (n ) (n - 4) 15 n 2 n 13172916709 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 11 18 (n - 1) (n ) (n - 4) 14 n 2 n 1146471138 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 13 n 2 n 1361267458 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1181470056 n ((n - 1) ) (n - 4) 705320352 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 10 n 3 11 10 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 258180480 n ((n - 1) ) (n - 4) 45084083 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 10 n 3 11 10 n 3 11 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 9 n 2 n 27 n 2 n 43545600 n ((n - 1) ) (n - 4) 844915 n ((n - 1) ) (n - 5) + -------------------------------- + ------------------------------- 10 n 3 11 8 n 3 16 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 5) 25 n 2 n 26 n 2 n 1665120041 n ((n - 1) ) (n - 5) 34956215 n ((n - 1) ) (n - 5) + ----------------------------------- - --------------------------------- 8 n 3 16 8 n 3 16 1728 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 24 n 2 n 20792389769 n ((n - 1) ) (n - 5) - ------------------------------------ 8 n 3 16 1728 (n - 1) (n ) (n - 5) 23 n 2 n 415091471209 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 16 3456 (n - 1) (n ) (n - 5) 22 n 2 n 372073989479 n ((n - 1) ) (n - 5) - ------------------------------------- 8 n 3 16 384 (n - 1) (n ) (n - 5) 21 n 2 n 7329269539787 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 16 1152 (n - 1) (n ) (n - 5) 20 n 2 n 39323827172903 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 16 1152 (n - 1) (n ) (n - 5) 19 n 2 n 258906389225009 n ((n - 1) ) (n - 5) + ---------------------------------------- 8 n 3 16 1728 (n - 1) (n ) (n - 5) 18 n 2 n 464180998228663 n ((n - 1) ) (n - 5) - ---------------------------------------- 8 n 3 16 864 (n - 1) (n ) (n - 5) 17 n 2 n 677003142017585 n ((n - 1) ) (n - 5) + ---------------------------------------- 8 n 3 16 432 (n - 1) (n ) (n - 5) 16 n 2 n 88594547859385 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 16 24 (n - 1) (n ) (n - 5) 12 n 2 n 9656374944276 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 11 n 2 n 5573492783280 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 14 n 2 n 20498986429411 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 16 2 (n - 1) (n ) (n - 5) 15 n 2 n 83306611573799 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 16 12 (n - 1) (n ) (n - 5) 10 n 2 n 1983816878400 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 13 n 2 n 11587408077219 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 9 n 2 n 28 n n 326918592000 n ((n - 1) ) (n - 5) 43 n (n - 1) (n - 6) + ------------------------------------ + ---------------------------- 8 n 3 16 4 n 2 18 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 6) 29 n n 24 n n n (n - 1) (n - 6) 26630113 n (n - 1) (n - 6) - ----------------------------- + ------------------------------ 4 n 2 18 4 n 2 18 3456 (n - 1) (n ) (n - 6) 144 (n - 1) (n ) (n - 6) 25 n n 22 n n 24473411 n (n - 1) (n - 6) 25666997579 n (n - 1) (n - 6) - ------------------------------ + --------------------------------- 4 n 2 18 4 n 2 18 3456 (n - 1) (n ) (n - 6) 432 (n - 1) (n ) (n - 6) 23 n n 26 n n 1610184857 n (n - 1) (n - 6) 174173 n (n - 1) (n - 6) - -------------------------------- + ---------------------------- 4 n 2 18 4 n 2 18 432 (n - 1) (n ) (n - 6) 864 (n - 1) (n ) (n - 6) 16 n n 15 n n 8407 n (n - 1) (n - 3) 2373 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 10 4 n 2 10 48 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 335727 n (n - 1) (n - 3) 509761 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 16 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 26143061 n (n - 1) (n - 3) 9893569 n (n - 1) (n - 3) - ------------------------------ + ----------------------------- 4 n 2 10 4 n 2 10 48 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 10 n n 9 n n 10520237 n (n - 1) (n - 3) 5103623 n (n - 1) (n - 3) - ------------------------------ + ---------------------------- 4 n 2 10 4 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 4818009 n (n - 1) (n - 3) 2643228 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 635040 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - --------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 17 n n 13 n n 91 n (n - 1) (n - 3) 4360130225 n (n - 1) (n - 4) + --------------------------- + -------------------------------- 4 n 2 10 5 n 2 12 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 4) 9 n n 8 n n 3539884860 n (n - 1) (n - 4) 2637707616 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 6232201130 n (n - 1) (n - 4) 2995862401 n (n - 1) (n - 4) + -------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 3 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 7 n n 18 n n 1182306240 n (n - 1) (n - 4) 122129 n (n - 1) (n - 4) + ------------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 19 n n 17 n n 32455 n (n - 1) (n - 4) 5287915 n (n - 1) (n - 4) + --------------------------- + ----------------------------- 5 n 2 12 5 n 2 12 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 15 n n 14 n n 259739645 n (n - 1) (n - 4) 2428307783 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 12 5 n 2 12 12 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 16 n n 10 n n 42561541 n (n - 1) (n - 4) 3204427666 n (n - 1) (n - 4) - ------------------------------ - -------------------------------- 5 n 2 12 5 n 2 12 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 7 n n 239500800 n (n - 1) (n - 4) 133612835328000 n (n - 1) (n - 6) - ------------------------------ - ------------------------------------ 5 n 2 12 5 n 2 17 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 6) 10 n n 1987853297696896 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 17 3 (n - 1) (n ) (n - 6) 6 n n 29 n n 23247544320000 n (n - 1) (n - 6) n (n - 1) (n - 6) + ----------------------------------- - ----------------------------- 5 n 2 17 5 n 2 17 (n - 1) (n ) (n - 6) 2592 (n - 1) (n ) (n - 6) 28 n n 27 n n 53 n (n - 1) (n - 6) 11851 n (n - 1) (n - 6) + ---------------------------- - ----------------------------- 5 n 2 17 5 n 2 17 864 (n - 1) (n ) (n - 6) 2592 (n - 1) (n ) (n - 6) 15 n n 14 n n n (n - 1) (n - 2) 5 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 7 5 n 2 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n n 12 n n 65 n (n - 1) (n - 2) 160 n (n - 1) (n - 2) - ------------------------- + ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n n 10 n n 1477 n (n - 1) (n - 2) 2205 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 7 5 n 2 7 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n n 8 n n 38230 n (n - 1) (n - 2) 15220 n (n - 1) (n - 2) - -------------------------- + -------------------------- 5 n 2 7 5 n 2 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 7 n n 6 n n 3392 n (n - 1) (n - 2) 960 n (n - 1) (n - 2) - ------------------------- + ------------------------ 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 10101053 n ((n - 1) ) (n - 3) 21554153 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 48 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 8767712 n ((n - 1) ) (n - 3) 21750859 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 40784669 n ((n - 1) ) (n - 3) 56736202 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 18880664 n ((n - 1) ) (n - 3) 12758112 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 5210496 n ((n - 1) ) (n - 3) 967680 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------ 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n n 27 n 2 n 11 n (n - 1) (n - 4) n ((n - 1) ) (n - 4) + -------------------------- + --------------------------- 4 n 2 13 9 n 3 12 6 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 85 n ((n - 1) ) (n - 4) 833 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 9 n 3 12 9 n 3 12 48 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 20005 n ((n - 1) ) (n - 4) 659569 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 9 n 3 12 9 n 3 12 12 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 25 n n 24 n n n (n - 1) (n - 5) 109 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 5 n 2 14 5 n 2 14 144 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 23 n n 37 n 5 n 917 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) - --------------------------- - ----------------------------- 5 n 2 14 22 n 6 8 24 (n - 1) (n ) (n - 5) 1728 (n - 1) (n ) (n - 2) 36 n 5 n 25 n 5 n 61 n ((n - 1) ) (n - 2) 3614321419 n ((n - 1) ) (n - 2) + ----------------------------- - ----------------------------------- 22 n 6 8 22 n 6 8 1728 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 24 n 5 n 23 n 5 n 912645643 n ((n - 1) ) (n - 2) 60466439 n ((n - 1) ) (n - 2) + ---------------------------------- - --------------------------------- 22 n 6 8 22 n 6 8 36 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 27727183 n ((n - 1) ) (n - 2) 18850506 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 22 n 6 8 22 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 8937432 n ((n - 1) ) (n - 2) 2634336 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 22 n 6 8 22 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 35 n 5 n 362880 n ((n - 1) ) (n - 2) 871 n ((n - 1) ) (n - 2) + ------------------------------- - ---------------------------- 22 n 6 8 22 n 6 8 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 34 n 5 n 33 n 5 n 7741 n ((n - 1) ) (n - 2) 192073 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------- 22 n 6 8 22 n 6 8 432 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n 1767437 n ((n - 1) ) (n - 2) 2085299 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 22 n 6 8 22 n 6 8 864 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 17434027 n ((n - 1) ) (n - 2) 621159133 n ((n - 1) ) (n - 2) + --------------------------------- - ---------------------------------- 22 n 6 8 22 n 6 8 216 (n - 1) (n ) (n - 2) 1728 (n - 1) (n ) (n - 2) 28 n 5 n 2230130705 n ((n - 1) ) (n - 2) + ----------------------------------- 22 n 6 8 1728 (n - 1) (n ) (n - 2) 27 n 5 n 3240688883 n ((n - 1) ) (n - 2) - ----------------------------------- 22 n 6 8 864 (n - 1) (n ) (n - 2) 26 n 5 n 29 n 2 n 3811914239 n ((n - 1) ) (n - 2) 9013 n ((n - 1) ) (n - 5) + ----------------------------------- + ----------------------------- 22 n 6 8 8 n 3 16 432 (n - 1) (n ) (n - 2) 3456 (n - 1) (n ) (n - 5) 28 n 2 n 33 n 3 n 40273 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) - ------------------------------ - ------------------------------- 8 n 3 16 12 n 4 14 384 (n - 1) (n ) (n - 5) 10368 (n - 1) (n ) (n - 4) 32 n 3 n 27 n 3 n 37 n ((n - 1) ) (n - 4) 406827745 n ((n - 1) ) (n - 4) + ------------------------------ - ---------------------------------- 12 n 4 14 12 n 4 14 3456 (n - 1) (n ) (n - 4) 5184 (n - 1) (n ) (n - 4) 26 n 3 n 3960318325 n ((n - 1) ) (n - 4) + ----------------------------------- 12 n 4 14 5184 (n - 1) (n ) (n - 4) 25 n 3 n 61375107881 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 14 10368 (n - 1) (n ) (n - 4) 24 n 3 n 382655219011 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 14 10368 (n - 1) (n ) (n - 4) 23 n 3 n 1932444790601 n ((n - 1) ) (n - 4) - -------------------------------------- 12 n 4 14 10368 (n - 1) (n ) (n - 4) 22 n 3 n 7931149939921 n ((n - 1) ) (n - 4) + -------------------------------------- 12 n 4 14 10368 (n - 1) (n ) (n - 4) 21 n 3 n 4410284006195 n ((n - 1) ) (n - 4) - -------------------------------------- 12 n 4 14 1728 (n - 1) (n ) (n - 4) 20 n 3 n 17893009132825 n ((n - 1) ) (n - 4) + --------------------------------------- 12 n 4 14 2592 (n - 1) (n ) (n - 4) 19 n 3 n 6498462509587 n ((n - 1) ) (n - 4) - -------------------------------------- 12 n 4 14 432 (n - 1) (n ) (n - 4) 15 n 3 n 28684447497 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 14 (n - 1) (n ) (n - 4) 14 n 3 n 15337897632 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 4 14 (n - 1) (n ) (n - 4) 17 n 3 n 427638453805 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 4 14 12 (n - 1) (n ) (n - 4) 18 n 3 n 209094847163 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 14 8 (n - 1) (n ) (n - 4) 13 n 3 n 5069936880 n ((n - 1) ) (n - 4) - ----------------------------------- 12 n 4 14 (n - 1) (n ) (n - 4) 16 n 3 n 74438702095 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 4 14 2 (n - 1) (n ) (n - 4) 12 n 3 n 31 n 3 n 778377600 n ((n - 1) ) (n - 4) 5725 n ((n - 1) ) (n - 4) + ---------------------------------- - ------------------------------- 12 n 4 14 12 n 4 14 (n - 1) (n ) (n - 4) 10368 (n - 1) (n ) (n - 4) 30 n 3 n 20 n n 182405 n ((n - 1) ) (n - 4) 50011 n (n - 1) (n - 4) + ------------------------------- + ---------------------------- 12 n 4 14 5 n 2 13 10368 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 19 n n 18 n n 219494 n (n - 1) (n - 4) 11150107 n (n - 1) (n - 4) - ---------------------------- + ------------------------------ 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 17 n n 16 n n 106016521 n (n - 1) (n - 4) 770478137 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 15 n n 14 n n 8662059263 n (n - 1) (n - 4) 18929976923 n (n - 1) (n - 4) - -------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 648 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 13 n n 9 n n 16076253076 n (n - 1) (n - 4) 5012925104 n (n - 1) (n - 4) - --------------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 8 n n 11 n n 1216103616 n (n - 1) (n - 4) 9377744062 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 12 n n 7 n n 42182549942 n (n - 1) (n - 4) 534339840 n (n - 1) (n - 4) + --------------------------------- - ------------------------------ 5 n 2 13 5 n 2 13 81 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 6 n n 13997672284 n (n - 1) (n - 4) 106444800 n (n - 1) (n - 4) + --------------------------------- + ------------------------------ 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n n 22 n n n (n - 1) (n - 4) 23 n (n - 1) (n - 4) - ---------------------------- + ---------------------------- 5 n 2 13 5 n 2 13 648 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 21 n n 23 n n 1943 n (n - 1) (n - 4) 273 n (n - 1) (n - 5) - ---------------------------- - -------------------------- 5 n 2 13 4 n 2 15 324 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 5) 21 n n 20 n n 860633 n (n - 1) (n - 5) 14652487 n (n - 1) (n - 5) - ---------------------------- + ------------------------------ 4 n 2 15 4 n 2 15 16 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 19 n n 18 n n 283430521 n (n - 1) (n - 5) 2831121839 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 4 n 2 15 4 n 2 15 24 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 17 n n 16 n n 29619297435 n (n - 1) (n - 5) 184063198605 n (n - 1) (n - 5) - --------------------------------- + ---------------------------------- 4 n 2 15 4 n 2 15 32 (n - 1) (n ) (n - 5) 32 (n - 1) (n ) (n - 5) 15 n n 14 n n 227276963693 n (n - 1) (n - 5) 891703555327 n (n - 1) (n - 5) - ---------------------------------- + ---------------------------------- 4 n 2 15 4 n 2 15 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 13 n n 9 n n 1037301651206 n (n - 1) (n - 5) 2278034508024 n (n - 1) (n - 5) - ----------------------------------- - ---------------------------------- 4 n 2 15 4 n 2 15 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 1592085230496 n (n - 1) (n - 5) 1574794009698 n (n - 1) (n - 5) + ---------------------------------- - ----------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 7 n n 5040997473533 n (n - 1) (n - 5) 675836058240 n (n - 1) (n - 5) + ----------------------------------- - --------------------------------- 4 n 2 15 4 n 2 15 6 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 2223426166242 n (n - 1) (n - 5) 130767436800 n (n - 1) (n - 5) + ----------------------------------- + --------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 25 n n 24 n n n (n - 1) (n - 5) 119 n (n - 1) (n - 5) - --------------------------- + --------------------------- 4 n 2 15 4 n 2 15 96 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 19 n 20 n 18 n 19 n (n - 5) n (n - 5) 249 n (n - 5) - --------------- + --------------- + ---------------- n 15 n 15 n 15 8 n (n - 5) 48 n (n - 5) 2 n (n - 5) 17 n 16 n 15 n 15927 n (n - 5) 695387 n (n - 5) 2746107 n (n - 5) - ------------------ + ------------------- - -------------------- n 15 n 15 n 15 4 n (n - 5) 8 n (n - 5) 2 n (n - 5) 14 n 13 n 48697207 n (n - 5) 586105949 n (n - 5) + --------------------- - ---------------------- n 15 n 15 3 n (n - 5) 4 n (n - 5) 12 n 11 n 16338867831 n (n - 5) 44151158337 n (n - 5) + ------------------------ - ------------------------ n 15 n 15 16 n (n - 5) 8 n (n - 5) 10 n 6 n 23097691526 n (n - 5) 422878918968 n (n - 5) + ------------------------ + ------------------------ n 15 n 15 n (n - 5) n (n - 5) 5 n 8 n 365968220832 n (n - 5) 543983918209 n (n - 5) - ------------------------ + ------------------------ n 15 n 15 n (n - 5) 3 n (n - 5) 9 n 4 n 74324062449 n (n - 5) 188954398080 n (n - 5) - ----------------------- + ------------------------ n 15 n 15 n (n - 5) n (n - 5) 7 n 3 n 327748252802 n (n - 5) 43589145600 n (n - 5) - ------------------------ - ----------------------- n 15 n 15 n (n - 5) n (n - 5) 18 n n 17 n n n (n - 1) (n - 3) 47 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 16 n n 15 n n 493 n (n - 1) (n - 3) 6101 n (n - 1) (n - 3) - ------------------------- + -------------------------- 5 n 2 9 5 n 2 9 6 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 14 n n 13 n n 33051 n (n - 1) (n - 3) 185677 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 554237 n (n - 1) (n - 3) 1573324 n (n - 1) (n - 3) - ---------------------------- + ----------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 3158584 n (n - 1) (n - 3) 4368068 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 1314368 n (n - 1) (n - 3) 693696 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 161280 n (n - 1) (n - 3) - --------------------------- 5 n 2 9 (n - 1) (n ) (n - 3) and in Maple notation 1/1728*n^32*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-835635/4*n^23*((n-1)^n )^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+8381371/18*n^22*((n-1)^n)^4/(n-1)^20/(n^n) ^5*(n-2)^n/(n-2)^6-9811289/12*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6 -17/576*n^31*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+45/64*n^30*((n-1)^n)^ 4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-665/64*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-\ 2)^n/(n-2)^6+61435/576*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-154921 /192*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+8048029/1728*n^26*((n-1) ^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-12065075/576*n^25*((n-1)^n)^4/(n-1)^20/( n^n)^5*(n-2)^n/(n-2)^6+2377275/32*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-\ 2)^6-467968*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+152448*n^16*((n-1 )^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-10446410/9*n^19*((n-1)^n)^4/(n-1)^20/(n ^n)^5*(n-2)^n/(n-2)^6+2658640/3*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2) ^6-23040*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+60299225/54*n^20*((n -1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-53/432*n^31*((n-1)^n)^4/(n-1)^19/(n^n )^5*(n-2)^n/(n-2)^7+1/432*n^32*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+ 1309/432*n^30*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-20009/432*n^29*((n-1 )^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+211999/432*n^28*((n-1)^n)^4/(n-1)^19/(n ^n)^5*(n-2)^n/(n-2)^7-1652123/432*n^27*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-\ 2)^7+9805271/432*n^26*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-45262315/432 *n^25*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+41123735/108*n^24*((n-1)^n)^ 4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-118312915/108*n^23*((n-1)^n)^4/(n-1)^19/(n^n )^5*(n-2)^n/(n-2)^7+67348181/27*n^22*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2) ^7+5101632*n^18*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-2734464*n^17*((n-1 )^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+55951708/9*n^20*((n-1)^n)^4/(n-1)^19/(n ^n)^5*(n-2)^n/(n-2)^7-120638233/27*n^21*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n -2)^7+903168*n^16*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-19725236/3*n^19* ((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-138240*n^15*((n-1)^n)^4/(n-1)^19/( n^n)^5*(n-2)^n/(n-2)^7-655/144*n^28*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^ 9+12239/144*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-158429/144*n^26*( (n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+1508917/144*n^25*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-3)^n/(n-3)^9-32878807/432*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3) ^n/(n-3)^9+186223847/432*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-\ 69487775/36*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-1/432*n^30*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+65/432*n^29*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-3)^n/(n-3)^9+247817125/36*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9 -176388457/9*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+399915215/9*n^19 *((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-2149689820/27*n^18*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-3)^n/(n-3)^9+3002025572/27*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4* (n-3)^n/(n-3)^9-118313376*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+ 277569664/3*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-50041856*n^14*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+16690176*n^13*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-3)^n/(n-3)^9-2580480*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9 +3153263/144*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-8065577/48*n^24 *((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+144279631/144*n^23*((n-1)^n)^3/( n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1/288*n^30*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^ n/(n-3)^10+35/144*n^29*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1135/144*n ^28*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+22661/144*n^27*((n-1)^n)^3/(n -1)^14/(n^n)^4*(n-3)^n/(n-3)^10-156113/72*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-\ 3)^n/(n-3)^10-1355630875/288*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10 +1263990425/72*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-3751762159/72 *n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+2210471825/18*n^19*((n-1)^n )^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-4105513325/18*n^18*((n-1)^n)^3/(n-1)^14/( n^n)^4*(n-3)^n/(n-3)^10+329287814*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-\ 3)^10-361331594*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+290689032*n^ 15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-161370144*n^14*((n-1)^n)^3/(n-\ 1)^14/(n^n)^4*(n-3)^n/(n-3)^10+55119744*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3) ^n/(n-3)^10-8709120*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1/24*n^ 25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+5/3*n^24*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-2)^n/(n-2)^7-727/24*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7 +1325/4*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-19453/8*n^21*((n-1)^n )^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+25305/2*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4* (n-2)^n/(n-2)^7-1152041/24*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-\ 444318*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+316260*n^14*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-832903/3*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*( n-2)^n/(n-2)^7+1612855/12*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-\ 134784*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+417630*n^16*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+25920*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2 )^n/(n-2)^7+1/24*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-13/6*n^22*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+409/8*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3 *(n-3)^n/(n-3)^9-8707/12*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 166079/24*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-46917*n^18*((n-1)^n) ^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+5597021/24*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-3)^n/(n-3)^9-10360111/12*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 2391771*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-14800466/3*n^14*((n-1) ^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+22367474/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n) ^3*(n-3)^n/(n-3)^9-8000836*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 5757984*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-2484288*n^10*((n-1)^n) ^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+483840*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3) ^n/(n-3)^9+23/24*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-2167/72*n^19*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-1/72*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^11-525229/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+1599437/24*n^ 16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/72*n^15*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^11+54573673/24*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 11-313688287/36*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+75796589/3*n^12*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-494574964/9*n^11*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^11+263958842/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-\ 100293468*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+76733472*n^8*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-4)^n/(n-4)^11-35167680*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^11+13691/24*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+7257600*n^6*(n-1)^n /(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-11426639/288*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^ 4*(n-2)^n/(n-2)^8+33323423/288*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^ 8-35704333/144*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+385504*n^16*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-422492*n^15*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-2)^n/(n-2)^8+617631/2*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8 -134757*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8+26460*n^12*((n-1)^n)^ 3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^8-7/288*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2 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(n^n)^3*(n-3)^n/(n-3)^10-57355011/2*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n -3)^10+21379617*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-9517284*n^10* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+1905120*n^9*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^10-2869764051/32*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4) ^12-2581783659/2*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1031231187*n^8*(n -1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-3834354769/6*n^11*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-4)^n/(n-4)^12+13302327269/48*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12 -491063580*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1728*n^15*((n-1)^n)^5/( n-1)^22/(n^n)^5+10368*n^18*((n-1)^n)^6/(n-1)^27/(n^n)^6+42439074236/9*n^16*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+13701490968*n^12*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-4)^n/(n-4)^12-8016704352*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/ (n-4)^12+13972449976*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-\ 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-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+1/432*n^28*((n-1)^n)^2/(n-1)^9/(n^n) ^3*(n-4)^n/(n-4)^13-97/432*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-\ 15840053/216*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+6959788/9*n^22*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-170932673/27*n^21*((n-1)^n)^2/(n-1) ^9/(n^n)^3*(n-4)^n/(n-4)^13+17639038885/432*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -4)^n/(n-4)^13-90415987805/432*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^ 13+46235268677/54*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-\ 301917561413/108*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+195884982362 /27*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+24961062192*n^12*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-15112148544*n^11*((n-1)^n)^2/(n-1)^9/(n^n) ^3*(n-4)^n/(n-4)^13+70646800552/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4 )^13-133512138833/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+ 5607394560*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-28354140468*n^13*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-958003200*n^9*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-4)^n/(n-4)^13+272/27*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^ 13-30001/108*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+1139689/216*n^24 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-1008425/72*n^22*(n-1)^n/(n-1)^5/( n^n)^2*(n-5)^n/(n-5)^15+3443/6*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+ 6031673/24*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-371345443/108*n^20*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+1321614641/36*n^19*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-5)^n/(n-5)^15-134155841729/432*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 15+33615598705/16*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-205670081149/18 *n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+600270470033/12*n^15*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-5)^n/(n-5)^15-4749713968393/27*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 5)^n/(n-5)^15+4446470227727/9*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+ 2378716280576*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-1565372662272*n^8*(n -1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+5681734803356/3*n^11*(n-1)^n/(n-1)^5/(n^ n)^2*(n-5)^n/(n-5)^15-29612753952320/27*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^15+629802593280*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-7447826115328/ 3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-116237721600*n^6*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^15+41/144*n^25*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15 -1757/108*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-1/432*n^26*(n-1)^n/(n-1 )^5/(n^n)^2*(n-5)^n/(n-5)^15-1/1728*n^26*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 16+67/864*n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-2779/576*n^24*(n-1)^n/( n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1414853/288*n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^ n/(n-5)^16+1111/6*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+13780991/144*n^ 21*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1226222957/864*n^20*(n-1)^n/(n-1)^4 /(n^n)^2*(n-5)^n/(n-5)^16+3541289827/216*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/( n-5)^16-86241734215/576*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+ 104725443355/96*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-3670055833847/576 *n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+2150429005361/72*n^15*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^16+108*n^12*((n-1)^n)^4/(n-1)^17/(n^n)^4-\ 48425073199363/432*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+36160047009713 /108*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+1986811269492*n^9*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1364284139760*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^ n/(n-5)^16+4307556051952/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-\ 28354575387061/36*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+570461572800*n^ 7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1979412611203*n^10*(n-1)^n/(n-1)^4/( n^n)^2*(n-5)^n/(n-5)^16-108972864000*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 16+5858855862336000/(n^n)*n^4*(n-7)^n/(n-7)^19+47/288*n^32*((n-1)^n)^3/(n-1)^14 /(n^n)^4*(n-4)^n/(n-4)^12-1/576*n^33*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4) ^12-1588465811815/36*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-\ 62587999224*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+31498441056*n^14 *((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-89156625647*n^17*((n-1)^n)^3/(n-\ 1)^14/(n^n)^4*(n-4)^n/(n-4)^12+423591550205/6*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4 *(n-4)^n/(n-4)^12-9848096640*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12 +17246949581/96*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-18734275669/ 576*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-155366275757/192*n^23*(( n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-1294799042257/144*n^21*((n-1)^n)^3/ (n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+1592783008589/72*n^20*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-4)^n/(n-4)^12+286262713219/96*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^ n/(n-4)^12+86728315878*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+ 1437004800*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+1/1728*n^31*((n-1 )^n)^2/(n-1)^10/(n^n)^3/(n-5)^14*(n-5)^n-59/864*n^30*((n-1)^n)^2/(n-1)^10/(n^n) ^3/(n-5)^14*(n-5)^n+6509/1728*n^29*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-5)^14*(n-5)^ n+1/2592*n^35*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11-1/32*n^34*((n-1)^n) ^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11+763/648*n^33*((n-1)^n)^4/(n-1)^17/(n^n)^5* (n-3)^n/(n-3)^11-8893/324*n^32*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11+ 575513/1296*n^31*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11-6871717/1296*n^ 30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11-1/648*n^27*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^7+2/27*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2) ^7-1063/648*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+2401/108*n^24*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-133591/648*n^23*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-2)^n/(n-2)^7+24937/18*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2 )^7-4515065/648*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+2883433/108*n ^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-6362695/81*n^19*((n-1)^n)^3/(n -1)^15/(n^n)^4*(n-2)^n/(n-2)^7-3257984/9*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2 )^n/(n-2)^7+684928/3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-24682522 /81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+4789178/27*n^18*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-87552*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-\ 2)^n/(n-2)^7+3517628/9*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+15360* n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-35237/432*n^22*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-3)^n/(n-3)^10+436633/432*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^10-3911939/432*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-1 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n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-4843/864*n^31*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4 )^n/(n-4)^13+71173/432*n^30*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+ 1148838131/216*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-33318071669/ 864*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+97510359419/432*n^24*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-927796321751/864*n^23*((n-1)^n)^3/(n -1)^13/(n^n)^4*(n-4)^n/(n-4)^13+1799788459781/432*n^22*((n-1)^n)^3/(n-1)^13/(n^ n)^4*(n-4)^n/(n-4)^13-949316986879/72*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n /(n-4)^13+3665675340857/108*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-\ 1271271060545/18*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-\ 115467255216*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+59833933632*n^ 14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-154012682818*n^17*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+117553450305*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-4)^n/(n-4)^13-19217191680*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^ 13+155021151156*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+2874009600*n ^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-1452755/432*n^29*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+10949255/216*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-4)^n/(n-4)^13-253073311/432*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4 )^13+768*n^15*((n-1)^n)^5/(n-1)^24/(n^n)^5+15713281/324*n^29*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-3)^n/(n-3)^11-112783597/324*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-\ 3)^n/(n-3)^11+5163370133/2592*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^ 11-23799870685/2592*n^26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11+ 22218969029/648*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11-33680185247/ 324*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11+4598527423/18*n^23*((n-1 )^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11-41012873942/81*n^22*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-3)^n/(n-3)^11+21640957106/27*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n -3)^n/(n-3)^11-8981215468/9*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11+ 954297984*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11-675491768*n^18*((n -1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11+332874624*n^17*((n-1)^n)^4/(n-1)^17/ (n^n)^5*(n-3)^n/(n-3)^11-101784960*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n -3)^11+14515200*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^11-1/864*n^33*( (n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+17/144*n^32*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-4)^n/(n-4)^13-2366681/48*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n -2)^7+3916937/24*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+1046766*n^15 *((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-699912*n^14*((n-1)^n)^3/(n-1)^14/ (n^n)^4*(n-2)^n/(n-2)^7+2292251/3*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-\ 2)^7-1222879/3*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+282528*n^13*(( n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-1057419*n^16*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-2)^n/(n-2)^7-51840*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-\ 55503416945/12*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-17805076740*n^ 12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+10988638848*n^11*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-4)^n/(n-4)^12-16013212725*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 4)^n/(n-4)^12+29374731527/3*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-\ 4145670720*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+5994351/2*n^21*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-7925225/24*n^22*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-4)^n/(n-4)^12-63034355/3*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-\ 4)^12-23978675105/48*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+ 20534512039/12*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+5536442725/48* n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+19781848956*n^13*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+718502400*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4 )^n/(n-4)^12-48440479945/96*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+ 14676685803/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-125797331777/24 *n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-24208333218*n^12*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+15491446992*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-4)^n/(n-4)^13-40061938053/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^ 13+23362550195/2*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-6038880480*n ^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+25846324722*n^13*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+1077753600*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4 )^n/(n-4)^13-31/32*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+995/24*n^ 25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-26021/24*n^24*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^13+9237/4*n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 15+18707/96*n^30*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-354665/96*n^29*( (n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+2490265/48*n^28*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-4)^n/(n-4)^12-161368271/288*n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-\ 4)^n/(n-4)^12+686775127/144*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-\ 4123/576*n^31*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-1/48*n^26*((n-1)^n) ^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+11/12*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-\ 2)^n/(n-2)^7-887/48*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+5429/24*n ^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-30053/16*n^22*((n-1)^n)^3/(n-1 )^14/(n^n)^4*(n-2)^n/(n-2)^7+22379/2*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/ (n-2)^7-2311/576*n^27*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-877300649197/ 1152*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+6858072839783/864*n^20*(n-1) ^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-117117258814993/1728*n^19*(n-1)^n/(n-1)^4/( n^n)^2*(n-6)^n/(n-6)^18+15237345131619/32*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/ (n-6)^18-9530013597190501/3456*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+ 1420834346524391/108*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-\ 4949537746887611/96*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+ 35653959043023227/216*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-\ 92457025506726911/216*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-\ 1660021004107320*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+1054429553109600* n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-8683875501083221/6*n^11*(n-1)^n/(n -1)^4/(n^n)^2*(n-6)^n/(n-6)^18+7991301015083333/9*n^12*(n-1)^n/(n-1)^4/(n^n)^2* (n-6)^n/(n-6)^18-411724440288000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+ 1806325467443882*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+1/48*n^24*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-7/6*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^9+1435/48*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-11161/ 24*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+235735/48*n^20*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-447581/12*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-3)^n/(n-3)^9-167/1728/(n^n)*n^23*(n-6)^n/(n-6)^18+1/1728/(n^n)*n^24*(n-6)^n/( n-6)^18+5054194265/864/(n^n)*n^18*(n-6)^n/(n-6)^18-75809637565/864/(n^n)*n^17*( n-6)^n/(n-6)^18+1813155240761/1728/(n^n)*n^16*(n-6)^n/(n-6)^18-17456799504547/ 1728/(n^n)*n^15*(n-6)^n/(n-6)^18+15119065406965/192/(n^n)*n^14*(n-6)^n/(n-6)^18 -286844844624715/576/(n^n)*n^13*(n-6)^n/(n-6)^18+2205455697921833/864/(n^n)*n^ 12*(n-6)^n/(n-6)^18-285139607911208/27/(n^n)*n^11*(n-6)^n/(n-6)^18+ 1889787999415795/54/(n^n)*n^10*(n-6)^n/(n-6)^18+325443214400440/(n^n)*n^6*(n-6) ^n/(n-6)^18-250145000983200/(n^n)*n^5*(n-6)^n/(n-6)^18+3369321203125991/18/(n^n )*n^8*(n-6)^n/(n-6)^18-9912728458996285/108/(n^n)*n^9*(n-6)^n/(n-6)^18+ 116657716896000/(n^n)*n^4*(n-6)^n/(n-6)^18-867644930951182/3/(n^n)*n^7*(n-6)^n/ (n-6)^18-24700515840000/(n^n)*n^3*(n-6)^n/(n-6)^18+1/96*n^31*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-2)^n/(n-2)^7-49/96*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2 )^7+371/32*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-15557/96*n^28*((n-\ 1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+149771/96*n^27*((n-1)^n)^4/(n-1)^18/(n ^n)^5*(n-2)^n/(n-2)^7-351013/32*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2) ^7+5593115/96*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-22889855/96*n^ 24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+759745*n^23*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-2)^n/(n-2)^7-45377395/24*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^ n/(n-2)^7-5031342*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+2831976*n^ 17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-10918363/2*n^20*((n-1)^n)^4/(n-\ 1)^18/(n^n)^5*(n-2)^n/(n-2)^7+10985393/3*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2 )^n/(n-2)^7-977184*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+6139128*n^ 19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+155520*n^15*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-2)^n/(n-2)^7+61/96*n^28*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3 )^9-1721/96*n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+29833/96*n^26*((n -1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-355955/96*n^25*((n-1)^n)^3/(n-1)^14/( n^n)^4*(n-3)^n/(n-3)^9+3102931/96*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-\ 3)^9-6822361/32*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+104355515/96* n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-1/96*n^29*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-3)^n/(n-3)^9-1/1728*n^34*((n-1)^n)^6/(n-1)^28/(n^n)^6+23/864*n^33 *((n-1)^n)^6/(n-1)^28/(n^n)^6-329/576*n^32*((n-1)^n)^6/(n-1)^28/(n^n)^6+1639/ 216*n^31*((n-1)^n)^6/(n-1)^28/(n^n)^6-120707/1728*n^30*((n-1)^n)^6/(n-1)^28/(n^ n)^6+136081/288*n^29*((n-1)^n)^6/(n-1)^28/(n^n)^6-4197701/1728*n^28*((n-1)^n)^6 /(n-1)^28/(n^n)^6+4182965/432*n^27*((n-1)^n)^6/(n-1)^28/(n^n)^6-4354625/144*n^ 26*((n-1)^n)^6/(n-1)^28/(n^n)^6+2004640/27*n^25*((n-1)^n)^6/(n-1)^28/(n^n)^6-\ 15425251/108*n^24*((n-1)^n)^6/(n-1)^28/(n^n)^6+639041/3*n^23*((n-1)^n)^6/(n-1)^ 28/(n^n)^6-241459*n^22*((n-1)^n)^6/(n-1)^28/(n^n)^6+201104*n^21*((n-1)^n)^6/(n-\ 1)^28/(n^n)^6-116064*n^20*((n-1)^n)^6/(n-1)^28/(n^n)^6+41472*n^19*((n-1)^n)^6/( n-1)^28/(n^n)^6-630565/1728/(n^n)*n^21*(n-6)^n/(n-6)^18+13025/1728/(n^n)*n^22*( n-6)^n/(n-6)^18-88187857/288/(n^n)*n^19*(n-6)^n/(n-6)^18+1770203/144/(n^n)*n^20 *(n-6)^n/(n-6)^18+1/1728*n^39*((n-1)^n)^7/(n-1)^32/(n^n)^7-17/576*n^38*((n-1)^n )^7/(n-1)^32/(n^n)^7+1223/1728*n^37*((n-1)^n)^7/(n-1)^32/(n^n)^7-18323/1728*n^ 36*((n-1)^n)^7/(n-1)^32/(n^n)^7+64063/576*n^35*((n-1)^n)^7/(n-1)^32/(n^n)^7-\ 1498693/1728*n^34*((n-1)^n)^7/(n-1)^32/(n^n)^7+9004373/1728*n^33*((n-1)^n)^7/(n -1)^32/(n^n)^7-14206427/576*n^32*((n-1)^n)^7/(n-1)^32/(n^n)^7+80550503/864*n^31 *((n-1)^n)^7/(n-1)^32/(n^n)^7-122491405/432*n^30*((n-1)^n)^7/(n-1)^32/(n^n)^7+ 50075909/72*n^29*((n-1)^n)^7/(n-1)^32/(n^n)^7-148243091/108*n^28*((n-1)^n)^7/(n -1)^32/(n^n)^7+38942743/18*n^27*((n-1)^n)^7/(n-1)^32/(n^n)^7-2686481*n^26*((n-1 )^n)^7/(n-1)^32/(n^n)^7+2570338*n^25*((n-1)^n)^7/(n-1)^32/(n^n)^7-1828416*n^24* ((n-1)^n)^7/(n-1)^32/(n^n)^7+910656*n^23*((n-1)^n)^7/(n-1)^32/(n^n)^7-283392*n^ 22*((n-1)^n)^7/(n-1)^32/(n^n)^7-1006597/2592*n^29*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-4)^n/(n-4)^14+32731549/5184*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^ 14+1/3456*n^31*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-139/3456*n^30*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-1/48*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^4+ 1/2*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^4-127/24*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^4+ 389/12*n^18*((n-1)^n)^4/(n-1)^17/(n^n)^4-2027/16*n^17*((n-1)^n)^4/(n-1)^17/(n^n )^4+3931/12*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^4-1121/2*n^15*((n-1)^n)^4/(n-1)^17/ (n^n)^4+612*n^14*((n-1)^n)^4/(n-1)^17/(n^n)^4-387*n^13*((n-1)^n)^4/(n-1)^17/(n^ n)^4-5/4/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/48/(n^n)*n^13*(n-4)^n/(n-4)^11-1045/2 /(n^n)*n^12*(n-4)^n/(n-4)^11+85481/16/(n^n)*n^11*(n-4)^n/(n-4)^11-149985/4/(n^n )*n^10*(n-4)^n/(n-4)^11+8873843/48/(n^n)*n^9*(n-4)^n/(n-4)^11-643885/(n^n)*n^8* (n-4)^n/(n-4)^11+4706416/3/(n^n)*n^7*(n-4)^n/(n-4)^11-2601115/(n^n)*n^6*(n-4)^n /(n-4)^11+2776947/(n^n)*n^5*(n-4)^n/(n-4)^11-1706580/(n^n)*n^4*(n-4)^n/(n-4)^11 +1/48/(n^n)*n^15*(n-4)^n/(n-4)^11+453600/(n^n)*n^3*(n-4)^n/(n-4)^11+14/9*n^18*( n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-1409/36*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n -3)^n/(n-3)^10+5269/9*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-23219/4*n^ 15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+120784/3*n^14*(n-1)^n/(n-1)^5/(n^n) ^2*(n-3)^n/(n-3)^10-7230227/36*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+ 6561457/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-17318500/9*n^11*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+32795324/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3) ^n/(n-3)^10-14418572/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+4174336*n^8 *(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-2134848*n^7*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^10+483840*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+7/288/(n^n) *n^19*(n-5)^n/(n-5)^14-175/72/(n^n)*n^18*(n-5)^n/(n-5)^14+1001/9/(n^n)*n^17*(n-\ 5)^n/(n-5)^14-222355/72/(n^n)*n^16*(n-5)^n/(n-5)^14+8377187/144/(n^n)*n^15*(n-5 )^n/(n-5)^14-56696185/72/(n^n)*n^14*(n-5)^n/(n-5)^14+284887603/36/(n^n)*n^13*(n -5)^n/(n-5)^14-4331372045/72/(n^n)*n^12*(n-5)^n/(n-5)^14+100559389931/288/(n^n) *n^11*(n-5)^n/(n-5)^14-27907324445/18/(n^n)*n^10*(n-5)^n/(n-5)^14-33140541630/( n^n)*n^6*(n-5)^n/(n-5)^14+29391155976/(n^n)*n^5*(n-5)^n/(n-5)^14-239919594005/ 18/(n^n)*n^8*(n-5)^n/(n-5)^14+47174489908/9/(n^n)*n^9*(n-5)^n/(n-5)^14-\ 15486740640/(n^n)*n^4*(n-5)^n/(n-5)^14+149671037131/6/(n^n)*n^7*(n-5)^n/(n-5)^ 14+3632428800/(n^n)*n^3*(n-5)^n/(n-5)^14-55811/432*n^28*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-5)^n/(n-5)^14+296771/96*n^27*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5 )^14-7904395/144*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+648919121/ 864*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-438316013/54*n^24*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+121750257941/1728*n^23*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-5)^n/(n-5)^14-429256529971/864*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-5)^n/(n-5)^14+1651388831755/576*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/ (n-5)^14-1957836167339/144*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+ 22921904567461/432*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-\ 18380115830899/108*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-24351865/ 144*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+46395575/48*n^22*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-1234976215/288*n^21*((n-1)^n)^3/(n-1)^12 /(n^n)^4*(n-3)^n/(n-3)^11+2139242765/144*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3 )^n/(n-3)^11-964930163/24*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+ 3043621429/36*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-272953767/2*n^ 17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+165592847*n^16*((n-1)^n)^3/(n-\ 1)^12/(n^n)^4*(n-3)^n/(n-3)^11-145836822*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3 )^n/(n-3)^11+87824844*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-\ 32272560*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+5443200*n^12*((n-1) ^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+1/96*n^27*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^13+310507/16*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-\ 12113969/48*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+29644759/12*n^21* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-37214385/2*n^20*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-4)^n/(n-4)^13+10493876965/96*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4 )^n/(n-4)^13-261858*n^21*((n-1)^n)^6/(n-1)^27/(n^n)^6+159192*n^20*((n-1)^n)^6/( n-1)^27/(n^n)^6-59616*n^19*((n-1)^n)^6/(n-1)^27/(n^n)^6+1/2592*n^29*((n-1)^n)^5 /(n-1)^24/(n^n)^5-41/2592*n^28*((n-1)^n)^5/(n-1)^24/(n^n)^5+97/324*n^27*((n-1)^ n)^5/(n-1)^24/(n^n)^5-4493/1296*n^26*((n-1)^n)^5/(n-1)^24/(n^n)^5+23707/864*n^ 25*((n-1)^n)^5/(n-1)^24/(n^n)^5-135655/864*n^24*((n-1)^n)^5/(n-1)^24/(n^n)^5+ 868075/1296*n^23*((n-1)^n)^5/(n-1)^24/(n^n)^5-701165/324*n^22*((n-1)^n)^5/(n-1) ^24/(n^n)^5+431000/81*n^21*((n-1)^n)^5/(n-1)^24/(n^n)^5-1605065/162*n^20*((n-1) ^n)^5/(n-1)^24/(n^n)^5+371321/27*n^19*((n-1)^n)^5/(n-1)^24/(n^n)^5-124192/9*n^ 18*((n-1)^n)^5/(n-1)^24/(n^n)^5+28384/3*n^17*((n-1)^n)^5/(n-1)^24/(n^n)^5-3968* n^16*((n-1)^n)^5/(n-1)^24/(n^n)^5+1/2592/(n^n)*n^21*(n-5)^n/(n-5)^16+427/144/(n ^n)*n^19*(n-5)^n/(n-5)^16-43/864/(n^n)*n^20*(n-5)^n/(n-5)^16-7799/72/(n^n)*n^18 *(n-5)^n/(n-5)^16+1173197/432/(n^n)*n^17*(n-5)^n/(n-5)^16-7138411/144/(n^n)*n^ 16*(n-5)^n/(n-5)^16+220969229/324/(n^n)*n^15*(n-5)^n/(n-5)^16-1560050089/216/(n ^n)*n^14*(n-5)^n/(n-5)^16+17168408257/288/(n^n)*n^13*(n-5)^n/(n-5)^16-\ 111128444713/288/(n^n)*n^12*(n-5)^n/(n-5)^16+847048907263/432/(n^n)*n^11*(n-5)^ n/(n-5)^16-140263145113/18/(n^n)*n^10*(n-5)^n/(n-5)^16-372730666964/3/(n^n)*n^6 *(n-5)^n/(n-5)^16+105156994640/(n^n)*n^5*(n-5)^n/(n-5)^16-3047667843847/54/(n^n )*n^8*(n-5)^n/(n-5)^16+1944283364207/81/(n^n)*n^9*(n-5)^n/(n-5)^16-53294539200/ (n^n)*n^4*(n-5)^n/(n-5)^16+889850451833/9/(n^n)*n^7*(n-5)^n/(n-5)^16+ 12108096000/(n^n)*n^3*(n-5)^n/(n-5)^16+1/72*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-2)^n/(n-2)^7-13/24*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+343/36*n ^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1199/12*n^18*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-2)^n/(n-2)^7+16691/24*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^7-27063/8*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+106051/9*n^15 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-88768/3*n^14*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-2)^n/(n-2)^7+477932/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-\ 2)^7-199006/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+54648*n^11*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-26592*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^7+5760*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1/36*n^ 19*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+10475/288/(n^n)*n^21*(n-6)^n/(n-6)^ 17-25/48/(n^n)*n^22*(n-6)^n/(n-6)^17+2258351/48/(n^n)*n^19*(n-6)^n/(n-6)^17-\ 75415/48/(n^n)*n^20*(n-6)^n/(n-6)^17+1/288/(n^n)*n^23*(n-6)^n/(n-6)^17-8299315/ 8/(n^n)*n^18*(n-6)^n/(n-6)^17+2514603875/144/(n^n)*n^17*(n-6)^n/(n-6)^17-\ 5510228615/24/(n^n)*n^16*(n-6)^n/(n-6)^17+689068603301/288/(n^n)*n^15*(n-6)^n/( n-6)^17-957105541405/48/(n^n)*n^14*(n-6)^n/(n-6)^17+12815607813125/96/(n^n)*n^ 13*(n-6)^n/(n-6)^17-11496585300265/16/(n^n)*n^12*(n-6)^n/(n-6)^17+ 55809768372661/18/(n^n)*n^11*(n-6)^n/(n-6)^17-63930789769865/6/(n^n)*n^10*(n-6) ^n/(n-6)^17-109809682911120/(n^n)*n^6*(n-6)^n/(n-6)^17+85894676913600/(n^n)*n^5 *(n-6)^n/(n-6)^17-181321868222035/3/(n^n)*n^8*(n-6)^n/(n-6)^17+519105720568475/ 18/(n^n)*n^9*(n-6)^n/(n-6)^17-40660498368000/(n^n)*n^4*(n-6)^n/(n-6)^17+ 95616481117132/(n^n)*n^7*(n-6)^n/(n-6)^17+8717829120000/(n^n)*n^3*(n-6)^n/(n-6) ^17+1/72/(n^n)*n^17*(n-4)^n/(n-4)^13-83/72/(n^n)*n^16*(n-4)^n/(n-4)^13+3113/72/ (n^n)*n^15*(n-4)^n/(n-4)^13-69823/72/(n^n)*n^14*(n-4)^n/(n-4)^13+348205/24/(n^n )*n^13*(n-4)^n/(n-4)^13-3669523/24/(n^n)*n^12*(n-4)^n/(n-4)^13+84120179/72/(n^n )*n^11*(n-4)^n/(n-4)^13-472581109/72/(n^n)*n^10*(n-4)^n/(n-4)^13-272615694/(n^n )*n^6*(n-4)^n/(n-4)^13+270841296/(n^n)*n^5*(n-4)^n/(n-4)^13-742058746/9/(n^n)*n ^8*(n-4)^n/(n-4)^13+489374743/18/(n^n)*n^9*(n-4)^n/(n-4)^13-157134240/(n^n)*n^4 *(n-4)^n/(n-4)^13+539369792/3/(n^n)*n^7*(n-4)^n/(n-4)^13+39916800/(n^n)*n^3*(n-\ 4)^n/(n-4)^13+7/72/(n^n)*n^13*(n-3)^n/(n-3)^10-329/72/(n^n)*n^12*(n-3)^n/(n-3)^ 10+280/3/(n^n)*n^11*(n-3)^n/(n-3)^10-13055/12/(n^n)*n^10*(n-3)^n/(n-3)^10+ 191737/24/(n^n)*n^9*(n-3)^n/(n-3)^10-923699/24/(n^n)*n^8*(n-3)^n/(n-3)^10+ 4418155/36/(n^n)*n^7*(n-3)^n/(n-3)^10-4585105/18/(n^n)*n^6*(n-3)^n/(n-3)^10+ 327831/(n^n)*n^5*(n-3)^n/(n-3)^10-234892/(n^n)*n^4*(n-3)^n/(n-3)^10+70560/(n^n) *n^3*(n-3)^n/(n-3)^10+1/12*(n-2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)* n^8+175/12*(n-2)^n/(n-2)^7/(n^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2 )^n/(n-2)^7/(n^n)*n^5-147*(n-2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^ 3+1/864*n^35*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-35/432*n^34*((n-1)^n) ^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9+37259/48*n^31*((n-1)^n)^4/(n-1)^19/(n^n)^5* (n-3)^n/(n-3)^9-74203/9*n^30*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9+ 14591071/216*n^29*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-94444597/216*n^ 28*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9+1962245377/864*n^27*((n-1)^n)^4 /(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-458911949/48*n^26*((n-1)^n)^4/(n-1)^19/(n^n)^ 5*(n-3)^n/(n-3)^9+787188701/24*n^25*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^ 9+287/108*n^33*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-3911/72*n^32*((n-1) ^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-3307166375/36*n^24*((n-1)^n)^4/(n-1)^19/ (n^n)^5*(n-3)^n/(n-3)^9+11323410271/54*n^23*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^ n/(n-3)^9-10474474271/27*n^22*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9+ 15551363966/27*n^21*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-6080431028/9*n ^20*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9+1833807328/3*n^19*((n-1)^n)^4/ (n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-411019392*n^18*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n -3)^n/(n-3)^9+193141248*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9-\ 56521728*n^16*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9+7741440*n^15*((n-1)^ n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^9+7481/216*n^30*((n-1)^n)^3/(n-1)^15/(n^n)^ 4*(n-4)^n/(n-4)^11-264911/432*n^29*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^ 11+387241/48*n^28*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+1/864*n^31*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3/(n-5)^15*(n-5)^n-4/27*n^30*((n-1)^n)^2/(n-1)^9/(n^n)^3/ (n-5)^15*(n-5)^n+1032267821/432*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^ 15-1461565/9*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-5984426309/216*n ^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+222365010821/864*n^23*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-209194578479/108*n^22*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-5)^n/(n-5)^15+1142124758125/96*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5 )^n/(n-5)^15-8622645608213/144*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^ 15+53415149946421/216*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 90383263741183/108*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+ 124808091178583/54*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 139617923545445/27*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 11364481794048*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+41472*n^21*((n -1)^n)^7/(n-1)^32/(n^n)^7-41/96*n^35*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2) ^6+158371867/72*n^26*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-863835811/216 *n^25*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+157269847/27*n^24*((n-1)^n)^ 5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+1/72*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^5-11/24 *n^26*((n-1)^n)^5/(n-1)^22/(n^n)^5+62/9*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^5-2245/ 36*n^24*((n-1)^n)^5/(n-1)^22/(n^n)^5+27265/72*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^5 -117005/72*n^22*((n-1)^n)^5/(n-1)^22/(n^n)^5+20215/4*n^21*((n-1)^n)^5/(n-1)^22/ (n^n)^5-103285/9*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^5+56660/3*n^19*((n-1)^n)^5/(n-\ 1)^22/(n^n)^5-21970*n^18*((n-1)^n)^5/(n-1)^22/(n^n)^5+17148*n^17*((n-1)^n)^5/(n -1)^22/(n^n)^5-8064*n^16*((n-1)^n)^5/(n-1)^22/(n^n)^5+14239/12*n^22*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-5)^n/(n-5)^14-609733/24*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^14+9558757/24*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-85305773/18*n^ 19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+1576282279/36*n^18*(n-1)^n/(n-1)^5/ (n^n)^2*(n-5)^n/(n-5)^14-15294678035/48*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^14+88414895855/48*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-\ 203776053611/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+187189517411/6*n^ 14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-818734102762/9*n^13*(n-1)^n/(n-1)^5 /(n^n)^2*(n-5)^n/(n-5)^14-486444614016*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5 )^14+325924245504*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-370320947682*n^ 11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+1877133244513/9*n^12*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^14-133178549760*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-\ 5)^14+497241535808*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+24908083200*n^ 6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-6912*n^18*((n-1)^n)^6/(n-1)^28/(n^n) ^6+4398523481/162*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-839197771/ 27*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+247401452/9*n^19*((n-1)^n) ^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-18095584*n^18*((n-1)^n)^4/(n-1)^20/(n^n)^5* (n-3)^n/(n-3)^8+8336896*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-\ 2395392*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+322560*n^15*((n-1)^n) ^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+1/10368*n^35*((n-1)^n)^4/(n-1)^20/(n^n)^5*( n-3)^n/(n-3)^8-11/1728*n^34*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+16/81* n^33*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+29/432*n^36*((n-1)^n)^5/(n-1) ^23/(n^n)^6*(n-2)^n/(n-2)^7-1/864*n^37*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-\ 2)^7+3359/108*n^34*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-395/216*n^35*(( n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-159949/432*n^33*((n-1)^n)^5/(n-1)^23 /(n^n)^6*(n-2)^n/(n-2)^7+708043/216*n^32*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/( n-2)^7-805745/36*n^31*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+3256294/27*n ^30*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-449638141/864*n^29*((n-1)^n)^5 /(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+783650125/432*n^28*((n-1)^n)^5/(n-1)^23/(n^n) ^6*(n-2)^n/(n-2)^7-1107699709/216*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-\ 2)^7+1269697021/108*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-\ 1175135375/54*n^25*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-22592640*n^21*( (n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+10530432*n^20*((n-1)^n)^5/(n-1)^23/ (n^n)^6*(n-2)^n/(n-2)^7-37639082*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2 )^7+290105357/9*n^24*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-3055104*n^19* ((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+33846548*n^22*((n-1)^n)^5/(n-1)^23 /(n^n)^6*(n-2)^n/(n-2)^7+414720*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2) ^7+1/432*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-65/432*n^24*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+1939/432*n^23*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-3)^n/(n-3)^10+26213969/432*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3 )^10-134017783/432*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+264129073 /216*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-100660267/27*n^16*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+236542400/27*n^15*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-3)^n/(n-3)^10-423798223/27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^ n/(n-3)^10+189089270/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-\ 20298232*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+13337056*n^11*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+1/16*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-2)^n/(n-2)^7-31/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+211/8*n^ 17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1661/8*n^16*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-2)^n/(n-2)^7+16745/16*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2) ^7-56455/16*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+8053*n^13*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-12273*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2 )^n/(n-2)^7+11934*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-6669*n^10*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+1620*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-2)^n/(n-2)^7-1/16*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+43/16*n^16*(n -1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+72123739/432*n^24*(n-1)^n/(n-1)^5/(n^n)^2 *(n-6)^n/(n-6)^17-8949233/1296*n^25*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+ 19913162419/432*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-4040674163/1296*n ^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+183563/864*n^26*(n-1)^n/(n-1)^5/(n ^n)^2*(n-6)^n/(n-6)^17-1422103303381/2592*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/ (n-6)^17+4594714330673/864*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 109633252202191/2592*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+ 239602019099183/864*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 486605464998947/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+ 1450700853140477/216*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 4006698825151171/162*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+ 4028639579147273/54*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 14806121571154448/81*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 582595144894720*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+355233962841600*n^ 8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-5010785277935392/9*n^11*(n-1)^n/(n-1 )^5/(n^n)^2*(n-6)^n/(n-6)^17+9701865494942734/27*n^12*(n-1)^n/(n-1)^5/(n^n)^2*( n-6)^n/(n-6)^17-407/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+4473/8*n^14* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-63369/16*n^13*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^9+303555/16*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-125341/2* n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+142649*n^10*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^9-219050*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+215817*n^8 *(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-122508*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 3)^n/(n-3)^9+30240*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+200703041/48/(n^ n)*n^10*(n-4)^n/(n-4)^12+219724484/(n^n)*n^6*(n-4)^n/(n-4)^12-225770979/(n^n)*n ^5*(n-4)^n/(n-4)^12+181682347/3/(n^n)*n^8*(n-4)^n/(n-4)^12-899631271/48/(n^n)*n ^9*(n-4)^n/(n-4)^12+134581860/(n^n)*n^4*(n-4)^n/(n-4)^12-497/48/(n^n)*n^15*(n-4 )^n/(n-4)^12+7/48/(n^n)*n^16*(n-4)^n/(n-4)^12+15827/48/(n^n)*n^14*(n-4)^n/(n-4) ^12+1242087/16/(n^n)*n^12*(n-4)^n/(n-4)^12-10781617/16/(n^n)*n^11*(n-4)^n/(n-4) ^12-298837/48/(n^n)*n^13*(n-4)^n/(n-4)^12-417017447/3/(n^n)*n^7*(n-4)^n/(n-4)^ 12-34927200/(n^n)*n^3*(n-4)^n/(n-4)^12+6328743330816*n^11*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-5)^n/(n-5)^15-39232844119252/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5) ^n/(n-5)^15+83397504150482/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 2180002083840*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+14177303147904* n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+348713164800*n^9*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-141887/432*n^28*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -5)^n/(n-5)^15+1222033/144*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+ 7649/864*n^29*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-1/288*n^33*((n-1)^n) ^6/(n-1)^27/(n^n)^6+7/48*n^32*((n-1)^n)^6/(n-1)^27/(n^n)^6-91/32*n^31*((n-1)^n) ^6/(n-1)^27/(n^n)^6+2459/72*n^30*((n-1)^n)^6/(n-1)^27/(n^n)^6-27121/96*n^29*((n -1)^n)^6/(n-1)^27/(n^n)^6+81839/48*n^28*((n-1)^n)^6/(n-1)^27/(n^n)^6-2233565/ 288*n^27*((n-1)^n)^6/(n-1)^27/(n^n)^6+27075*n^26*((n-1)^n)^6/(n-1)^27/(n^n)^6-\ 1755425/24*n^25*((n-1)^n)^6/(n-1)^27/(n^n)^6+2752285/18*n^24*((n-1)^n)^6/(n-1)^ 27/(n^n)^6-490679/2*n^23*((n-1)^n)^6/(n-1)^27/(n^n)^6+296724*n^22*((n-1)^n)^6/( n-1)^27/(n^n)^6-248169943/1728/(n^n)*n^21*(n-7)^n/(n-7)^19+17856185657/5184/(n^ n)*n^20*(n-7)^n/(n-7)^19-339155284741/5184/(n^n)*n^19*(n-7)^n/(n-7)^19+ 10371510111281/10368/(n^n)*n^18*(n-7)^n/(n-7)^19-129077588515183/10368/(n^n)*n^ 17*(n-7)^n/(n-7)^19+438971052035963/3456/(n^n)*n^16*(n-7)^n/(n-7)^19-\ 3686483409406819/3456/(n^n)*n^15*(n-7)^n/(n-7)^19+38281736671986743/5184/(n^n)* n^14*(n-7)^n/(n-7)^19-109133547140156987/2592/(n^n)*n^13*(n-7)^n/(n-7)^19+ 255376123474265923/1296/(n^n)*n^12*(n-7)^n/(n-7)^19-487592406213459337/648/(n^n )*n^11*(n-7)^n/(n-7)^19+83634620696532937/36/(n^n)*n^10*(n-7)^n/(n-7)^19-\ 34342839635499311/6/(n^n)*n^9*(n-7)^n/(n-7)^19+11045952476958223/(n^n)*n^8*(n-7 )^n/(n-7)^19-16255677227190324/(n^n)*n^7*(n-7)^n/(n-7)^19-5318016*n^10*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+967680*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-3)^n/(n-3)^10-589/8*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+42943/24*n^ 19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-176551/6*n^18*(n-1)^n/(n-1)^4/(n^n) ^2*(n-4)^n/(n-4)^13+2775097/8*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-\ 72715357/24*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+479616709/24*n^15*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-1608375197/16*n^14*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-4)^n/(n-4)^13+9279725741/24*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+ 4720552326*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-3675953664*n^8*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+2499406767*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^13-6796527335/6*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+ 1713584160*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-4068989025*n^10*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-359251200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n /(n-4)^13-1/48*n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+29/864*n^32*((n-1) ^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-1771/1296*n^31*((n-1)^n)^3/(n-1)^15/(n^ n)^4*(n-4)^n/(n-4)^11-1/2592*n^33*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11 +35485781/54*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-10986185333/ 2592*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-53062027/648*n^27*((n-1 )^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-41124540121/432*n^23*((n-1)^n)^3/(n-1) ^15/(n^n)^4*(n-4)^n/(n-4)^11+8034740189/24*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -4)^n/(n-4)^11-313028742719/324*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4) ^11+123177487199/54*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-\ 354587375713/81*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+182415047134 /27*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-74246812076/9*n^17*((n-1 )^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+7777189344*n^16*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-4)^n/(n-4)^11-5451197824*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n -4)^11+2670254592*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-814279680* n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+19190253833/864*n^24*((n-1)^ n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+116121600*n^12*((n-1)^n)^3/(n-1)^15/(n^n )^4*(n-4)^n/(n-4)^11+48252997028363/108*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5) ^n/(n-5)^14-25731563352035/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^ 14-1781018012544*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+ 959083077888*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-6629977111756/3 *n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+14696738796041/9*n^15*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-320324613120*n^10*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-5)^n/(n-5)^14+2303987798592*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5) ^n/(n-5)^14+49816166400*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-\ 113371/12*n^26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+1880645/36*n^25*((n -1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-7987835/36*n^24*((n-1)^n)^4/(n-1)^17/ (n^n)^5*(n-2)^n/(n-2)^8+35119715/48*n^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/( n-2)^8-39605/4*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+2202743/24*n^ 24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-15385759/24*n^23*((n-1)^n)^3/( n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-1/48*n^29*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n /(n-3)^10+11/8*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-1003/24*n^27* ((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+18649/24*n^26*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-3)^n/(n-3)^10+27578865/8*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^ n/(n-3)^10-693738115/48*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+ 285126155/6*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-490250973/4*n^19 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+739718906/3*n^18*((n-1)^n)^3/(n-\ 1)^13/(n^n)^4*(n-3)^n/(n-3)^10-382212567*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3 )^n/(n-3)^10+446876616*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-\ 380483100*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+222201792*n^14*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-79413696*n^13*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-3)^n/(n-3)^10+13063680*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3 )^10-17761429/18*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+3088787957/ 576*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-13565471647/576*n^26*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+1313/288*n^33*((n-1)^n)^4/(n-1)^18/( n^n)^5*(n-3)^n/(n-3)^10-14273/144*n^32*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-\ 3)^10+1/576*n^35*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-25/192*n^34*((n-\ 1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+432341/288*n^31*((n-1)^n)^4/(n-1)^18/ (n^n)^5*(n-3)^n/(n-3)^10-4850359/288*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/ (n-3)^10+20918201/144*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+ 24210321193/288*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-35184640645/ 144*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+13857010459/24*n^23*((n-\ 1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-39717578227/36*n^22*((n-1)^n)^4/(n-1) ^18/(n^n)^5*(n-3)^n/(n-3)^10+10128825317/6*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n -3)^n/(n-3)^10-2036536943*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+ 1891402434*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-1303052328*n^18*( (n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+626264352*n^17*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-3)^n/(n-3)^10-187132032*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n /(n-3)^10+26127360*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+1/12*n^20 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-35/12*n^19*((n-1)^n)^2/(n-1)^9/(n^ n)^3*(n-2)^n/(n-2)^7+91/2*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-835/ 2*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+10011/4*n^16*((n-1)^n)^2/(n-\ 1)^9/(n^n)^3*(n-2)^n/(n-2)^7-41145/4*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/( n-2)^7+88667/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-177940/3*n^13*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+81368*n^12*((n-1)^n)^2/(n-1)^9/(n^n) ^3*(n-2)^n/(n-2)^7-72540*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+37728 *n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-8640*n^9*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-2)^n/(n-2)^7+190477/48*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12 -3059/16*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-332213/6*n^17*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^12-192392431/48*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^12+1048607791/48*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+8794863/ 16*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+2158428293/2*n^10*(n-1)^n/(n-1 )^4/(n^n)^2*(n-4)^n/(n-4)^12+104781600*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^12-7/96*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+133/24*n^20*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-4)^n/(n-4)^12-79378283/3*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3) ^n/(n-3)^10+155571668/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-\ 75103258*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+77765508*n^12*((n-1) ^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-54306144*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^ 3*(n-3)^n/(n-3)^10+22842432*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-\ 4354560*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-1/288*n^29*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+1/4*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^ n/(n-3)^11-1189/144*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+23923/ 144*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11-9123/4*n^25*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-3)^n/(n-3)^11+3265331/144*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-3)^n/(n-3)^11+17525592484939440/(n^n)*n^6*(n-7)^n/(n-7)^19-\ 12976225746523200/(n^n)*n^5*(n-7)^n/(n-7)^19-1151437/10368/(n^n)*n^23*(n-7)^n/( n-7)^19+999697/216/(n^n)*n^22*(n-7)^n/(n-7)^19+1/10368/(n^n)*n^26*(n-7)^n/(n-7) ^19-203/10368/(n^n)*n^25*(n-7)^n/(n-7)^19+19349/10368/(n^n)*n^24*(n-7)^n/(n-7)^ 19-1206796631040000/(n^n)*n^3*(n-7)^n/(n-7)^19+169/24*n^34*((n-1)^n)^5/(n-1)^24 /(n^n)^6*(n-2)^n/(n-2)^6-46895/576*n^33*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n -2)^6+100981/144*n^32*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-2015663/432* n^31*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+5300069/216*n^30*((n-1)^n)^5/ (n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-39737461/384*n^29*((n-1)^n)^5/(n-1)^24/(n^n)^6 *(n-2)^n/(n-2)^6+4236215/12*n^28*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-\ 281651693/288*n^27*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+7/432*n^36*((n-\ 1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-1/3456*n^37*((n-1)^n)^5/(n-1)^24/(n^n) ^6*(n-2)^n/(n-2)^6+1796544*n^20*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-\ 514944*n^19*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+5931654*n^22*((n-1)^n) ^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-3904784*n^21*((n-1)^n)^5/(n-1)^24/(n^n)^6*( n-2)^n/(n-2)^6+69120*n^18*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-40169065 /6*n^23*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-3311/864*n^32*((n-1)^n)^4/ (n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+90089/1728*n^31*((n-1)^n)^4/(n-1)^20/(n^n)^5*( n-3)^n/(n-3)^8-25379/48*n^30*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+ 10750831/2592*n^29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-22267411/864*n^ 28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+1335687473/10368*n^27*((n-1)^n) ^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-903982801/1728*n^26*((n-1)^n)^4/(n-1)^20/(n ^n)^5*(n-3)^n/(n-3)^8+1499106593/864*n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/ (n-3)^8-225985801/48*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+ 6759942013/648*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-2027175587/108 *n^22*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+74101547520000*n^6*(n-1)^n/( n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-33827705/18*n^22*((n-1)^n)^4/(n-1)^17/(n^n)^5*( n-2)^n/(n-2)^8+134903269/36*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-\ 17215774/3*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+6614567*n^19*((n-1 )^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-5545224*n^18*((n-1)^n)^4/(n-1)^17/(n^n) ^5*(n-2)^n/(n-2)^8+3186684*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-\ 1120608*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+181440*n^15*((n-1)^n) ^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+1/144*n^31*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-\ 2)^n/(n-2)^8-13/36*n^30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8+26/3*n^29* ((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^8-4589/36*n^28*((n-1)^n)^4/(n-1)^17/ (n^n)^5*(n-2)^n/(n-2)^8+92623/72*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2 )^8+1/8/(n^n)*n^12*(n-3)^n/(n-3)^9-19/4/(n^n)*n^11*(n-3)^n/(n-3)^9+309/4/(n^n)* n^10*(n-3)^n/(n-3)^9-1407/2/(n^n)*n^9*(n-3)^n/(n-3)^9+31521/8/(n^n)*n^8*(n-3)^n /(n-3)^9-56091/4/(n^n)*n^7*(n-3)^n/(n-3)^9+63173/2/(n^n)*n^6*(n-3)^n/(n-3)^9-\ 43229/(n^n)*n^5*(n-3)^n/(n-3)^9+32436/(n^n)*n^4*(n-3)^n/(n-3)^9-10080/(n^n)*n^3 *(n-3)^n/(n-3)^9-1/24*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+10/3*n^21*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-1463/12*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n -4)^n/(n-4)^12-52053905/12*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+ 327020135/24*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-101072618/3*n^19 *((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+391164701/6*n^18*((n-1)^n)^3/(n-1 )^14/(n^n)^4*(n-3)^n/(n-3)^9-292515508/3*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3 )^n/(n-3)^9+110316918*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-\ 91142520*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+51784416*n^14*((n-1) ^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-18050688*n^13*((n-1)^n)^3/(n-1)^14/(n^n) ^4*(n-3)^n/(n-3)^9+2903040*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+1/ 288*n^27*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-13/48*n^26*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+469/48*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4) ^n/(n-4)^11+26469/8*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-1774213/ 48*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-10399/48*n^24*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-98692925/48*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-4)^n/(n-4)^11+1018969465/96*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4 )^11-1041537805/24*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+ 1126937731/8*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-2172885811/6*n^ 16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+13172916709/18*n^15*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-1146471138*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-4)^n/(n-4)^11+1361267458*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^ 11-1181470056*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+705320352*n^11 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-258180480*n^10*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-4)^n/(n-4)^11+45084083/144*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 4)^n/(n-4)^11+43545600*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+844915 /288*n^27*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+1665120041/1728*n^25*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-34956215/576*n^26*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-5)^n/(n-5)^16-20792389769/1728*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 5)^n/(n-5)^16+415091471209/3456*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^ 16-372073989479/384*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+ 7329269539787/1152*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 39323827172903/1152*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+ 258906389225009/1728*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 464180998228663/864*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+ 677003142017585/432*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 88594547859385/24*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 9656374944276*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+5573492783280*n ^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-20498986429411/2*n^14*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+83306611573799/12*n^15*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-5)^n/(n-5)^16-1983816878400*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^ n/(n-5)^16+11587408077219*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+ 326918592000*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+43/864*n^28*(n-1) ^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-1/3456*n^29*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n /(n-6)^18+26630113/144*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-24473411/ 3456*n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+25666997579/432*n^22*(n-1)^n /(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-1610184857/432*n^23*(n-1)^n/(n-1)^4/(n^n)^2*( n-6)^n/(n-6)^18+174173/864*n^26*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-8407/ 48*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+2373*n^15*(n-1)^n/(n-1)^4/(n^n )^2*(n-3)^n/(n-3)^10-335727/16*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+ 509761/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-26143061/48*n^12*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+9893569/6*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^ n/(n-3)^10-10520237/3*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+5103623*n^9 *(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-4818009*n^8*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^10+2643228*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-635040*n^6 *(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-7/48*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 3)^n/(n-3)^10+91/12*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+4360130225/12 *n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+3539884860*n^9*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^12-2637707616*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12 +6232201130/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-2995862401/3*n^12*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+1182306240*n^7*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^12-122129/3*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+32455/ 12*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+5287915/12*n^17*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-4)^n/(n-4)^12+259739645/12*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^12-2428307783/24*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-42561541/12* n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-3204427666*n^10*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^12-239500800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 133612835328000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+1987853297696896/3 *n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+23247544320000*n^6*(n-1)^n/(n-1) ^5/(n^n)^2*(n-6)^n/(n-6)^17-1/2592*n^29*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^17*(n-6)^ n+53/864*n^28*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^17*(n-6)^n-11851/2592*n^27*(n-1)^n/ (n-1)^5/(n^n)^2/(n-6)^17*(n-6)^n-1/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2 )^7+5/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/3*n^13*(n-1)^n/(n-1)^5/ (n^n)^2*(n-2)^n/(n-2)^7+160*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-1477/2 *n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+2205*n^10*(n-1)^n/(n-1)^5/(n^n)^2 *(n-2)^n/(n-2)^7-38230/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+15220/3*n^ 8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-3392*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2 )^n/(n-2)^7+960*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+10101053/48*n^18*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-21554153/24*n^17*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^9+8767712/3*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^9-21750859/3*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+40784669/3 *n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-56736202/3*n^13*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+18880664*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 3)^n/(n-3)^9-12758112*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+5210496 *n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-967680*n^9*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^9+11/6*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+ 1/48*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-85/48*n^26*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+833/12*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n /(n-4)^12-20005/12*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+659569/24* n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-1/144*n^25*(n-1)^n/(n-1)^5/(n ^n)^2*(n-5)^n/(n-5)^14+109/144*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-\ 917/24*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-1/1728*n^37*((n-1)^n)^5/(n -1)^22/(n^n)^6*(n-2)^n/(n-2)^8+61/1728*n^36*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^ n/(n-2)^8-3614321419/216*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8+ 912645643/36*n^24*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8-60466439/2*n^23* ((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8+27727183*n^22*((n-1)^n)^5/(n-1)^22 /(n^n)^6*(n-2)^n/(n-2)^8-18850506*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-\ 2)^8+8937432*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8-2634336*n^19*((n -1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8+362880*n^18*((n-1)^n)^5/(n-1)^22/(n^n )^6*(n-2)^n/(n-2)^8-871/864*n^35*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8+ 7741/432*n^34*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8-192073/864*n^33*((n-\ 1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8+1767437/864*n^32*((n-1)^n)^5/(n-1)^22/ (n^n)^6*(n-2)^n/(n-2)^8-2085299/144*n^31*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/( n-2)^8+17434027/216*n^30*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8-621159133 /1728*n^29*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8+2230130705/1728*n^28*(( n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^8-3240688883/864*n^27*((n-1)^n)^5/(n-1 )^22/(n^n)^6*(n-2)^n/(n-2)^8+3811914239/432*n^26*((n-1)^n)^5/(n-1)^22/(n^n)^6*( n-2)^n/(n-2)^8+9013/3456*n^29*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 40273/384*n^28*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-1/10368*n^33*((n-1) ^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+37/3456*n^32*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-4)^n/(n-4)^14-406827745/5184*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n -4)^14+3960318325/5184*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14-\ 61375107881/10368*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+ 382655219011/10368*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14-\ 1932444790601/10368*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+ 7931149939921/10368*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14-\ 4410284006195/1728*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+ 17893009132825/2592*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14-\ 6498462509587/432*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14-\ 28684447497*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+15337897632*n^14 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14-427638453805/12*n^17*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+209094847163/8*n^18*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-4)^n/(n-4)^14-5069936880*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4 )^14+74438702095/2*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+778377600 *n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14-5725/10368*n^31*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^14+182405/10368*n^30*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-4)^n/(n-4)^14+50011/324*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-\ 219494/81*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+11150107/324*n^18*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-106016521/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^13+770478137/324*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-\ 8662059263/648*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+18929976923/324*n^ 14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-16076253076/81*n^13*(n-1)^n/(n-1)^5 /(n^n)^2*(n-4)^n/(n-4)^13-5012925104/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^13+1216103616*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-9377744062/9*n^11* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+42182549942/81*n^12*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^13-534339840*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+ 13997672284/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+106444800*n^6*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-1/648*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/ (n-4)^13+23/162*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-1943/324*n^21*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-273/4*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^ n/(n-5)^15-860633/16*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+14652487/16* n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-283430521/24*n^19*(n-1)^n/(n-1)^4 /(n^n)^2*(n-5)^n/(n-5)^15+2831121839/24*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^15-29619297435/32*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+ 184063198605/32*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-227276963693/8*n^ 15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+891703555327/8*n^14*(n-1)^n/(n-1)^4 /(n^n)^2*(n-5)^n/(n-5)^15-1037301651206/3*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/ (n-5)^15-2278034508024*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+ 1592085230496*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-1574794009698*n^11*( n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+5040997473533/6*n^12*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^15-675836058240*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 15+2223426166242*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+130767436800*n^6 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-1/96*n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 5)^n/(n-5)^15+119/96*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-19/8/(n^n)*n ^19*(n-5)^n/(n-5)^15+1/48/(n^n)*n^20*(n-5)^n/(n-5)^15+249/2/(n^n)*n^18*(n-5)^n/ (n-5)^15-15927/4/(n^n)*n^17*(n-5)^n/(n-5)^15+695387/8/(n^n)*n^16*(n-5)^n/(n-5)^ 15-2746107/2/(n^n)*n^15*(n-5)^n/(n-5)^15+48697207/3/(n^n)*n^14*(n-5)^n/(n-5)^15 -586105949/4/(n^n)*n^13*(n-5)^n/(n-5)^15+16338867831/16/(n^n)*n^12*(n-5)^n/(n-5 )^15-44151158337/8/(n^n)*n^11*(n-5)^n/(n-5)^15+23097691526/(n^n)*n^10*(n-5)^n/( n-5)^15+422878918968/(n^n)*n^6*(n-5)^n/(n-5)^15-365968220832/(n^n)*n^5*(n-5)^n/ (n-5)^15+543983918209/3/(n^n)*n^8*(n-5)^n/(n-5)^15-74324062449/(n^n)*n^9*(n-5)^ n/(n-5)^15+188954398080/(n^n)*n^4*(n-5)^n/(n-5)^15-327748252802/(n^n)*n^7*(n-5) ^n/(n-5)^15-43589145600/(n^n)*n^3*(n-5)^n/(n-5)^15-1/12*n^18*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^9+47/12*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-493/6* n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+6101/6*n^15*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-3)^n/(n-3)^9-33051/4*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+185677/4 *n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-554237/3*n^12*(n-1)^n/(n-1)^5/(n^ n)^2*(n-3)^n/(n-3)^9+1573324/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 3158584/3*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+4368068/3*n^9*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^9-1314368*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^9+693696*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-161280*n^6*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^9 The, 4, 1, mixed moment of, X[3], and , X[4], is 12 n 4 15 n 5 14 n n 648 n ((n - 1) ) 1296 n ((n - 1) ) n (n - 1) (n - 2) ------------------- - -------------------- - ------------------------- 17 n 4 21 n 5 4 n 2 7 (n - 1) (n ) (n - 1) (n ) 6 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 868 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 3214 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 21 n 4 2364 n (n - 1) (n - 2) 720 n (n - 1) (n - 2) n ((n - 1) ) + ------------------------- - ------------------------ - ----------------- 4 n 2 7 4 n 2 7 17 n 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 8 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 3 n ((n - 1) ) 127 n ((n - 1) ) 389 n ((n - 1) ) + ----------------- - ------------------- + ------------------- 17 n 4 17 n 4 17 n 4 (n - 1) (n ) 4 (n - 1) (n ) 2 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 6081 n ((n - 1) ) 3931 n ((n - 1) ) 3363 n ((n - 1) ) - -------------------- + -------------------- - -------------------- 17 n 4 17 n 4 17 n 4 8 (n - 1) (n ) 2 (n - 1) (n ) (n - 1) (n ) 14 n 4 13 n 4 14 n 3672 n ((n - 1) ) 2322 n ((n - 1) ) 15 n (n - 4) + -------------------- - -------------------- - --------------- 17 n 4 17 n 4 n 11 (n - 1) (n ) (n - 1) (n ) 2 n (n - 4) 13 n 12 n 11 n 1601 n (n - 4) 3135 n (n - 4) 256443 n (n - 4) + ----------------- - ----------------- + ------------------- n 11 n 11 n 11 8 n (n - 4) n (n - 4) 8 n (n - 4) 10 n 9 n 8 n 449955 n (n - 4) 8873843 n (n - 4) 3863310 n (n - 4) - ------------------- + ------------------- - ------------------- n 11 n 11 n 11 2 n (n - 4) 8 n (n - 4) n (n - 4) 7 n 6 n 5 n 9412832 n (n - 4) 15606690 n (n - 4) 16661682 n (n - 4) + ------------------- - -------------------- + -------------------- n 11 n 11 n 11 n (n - 4) n (n - 4) n (n - 4) 4 n 15 n 3 n 10239480 n (n - 4) n (n - 4) 2721600 n (n - 4) - -------------------- + -------------- + ------------------- n 11 n 11 n 11 n (n - 4) 8 n (n - 4) n (n - 4) 19 n n 20 n n 65 n (n - 1) (n - 4) n (n - 1) (n - 4) + --------------------------- - --------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n + --------------- - --------------- + -------------- 7 n 7 n 7 n 3 (n - 2) n (n - 2) n (n - 2) n 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 31 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 211 n ((n - 1) ) (n - 2) 1661 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 16745 n ((n - 1) ) (n - 2) 56455 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 16106 n ((n - 1) ) (n - 2) 24546 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 23868 n ((n - 1) ) (n - 2) 13338 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n n 3240 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - ------------------------- 8 n 3 7 4 n 2 9 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 16 n n 15 n n 43 n (n - 1) (n - 3) 407 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n 4473 n (n - 1) (n - 3) 63369 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 303555 n (n - 1) (n - 3) 250682 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 570596 n (n - 1) (n - 3) 876200 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 863268 n (n - 1) (n - 3) 490032 n (n - 1) (n - 3) + --------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 22 n 2 n 120960 n (n - 1) (n - 3) n ((n - 1) ) (n - 3) + --------------------------- + -------------------------- 4 n 2 9 8 n 3 9 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 3) 1035 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 19 n 2 n 12 n 11 n 6637 n ((n - 1) ) (n - 3) 7 n (n - 3) 133 n (n - 3) - ----------------------------- + -------------- - ---------------- 8 n 3 9 n 9 n 9 8 (n - 1) (n ) (n - 3) 24 n (n - 3) 12 n (n - 3) 10 n 9 n 8 n 721 n (n - 3) 3283 n (n - 3) 73549 n (n - 3) + ---------------- - ---------------- + ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) 8 n (n - 3) 7 n 6 n 5 n 130879 n (n - 3) 442211 n (n - 3) 302603 n (n - 3) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 4 n (n - 3) 6 n (n - 3) 3 n (n - 3) 4 n 3 n 6 n n 75684 n (n - 3) 23520 n (n - 3) 5443200 n (n - 1) (n - 4) + ----------------- - ----------------- - ---------------------------- n 9 n 9 4 n 2 11 n (n - 3) n (n - 3) (n - 1) (n ) (n - 4) 17 n n 16 n n 33445 n (n - 1) (n - 4) 130483 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n n 14 n n 1077505 n (n - 1) (n - 4) 19411601 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 12 n n 86074615 n (n - 1) (n - 4) 141539057 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 85850710 n (n - 1) (n - 4) 50390708 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 4 n 2 11 4 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 62396010 n (n - 1) (n - 4) 51296364 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 18 n n 25014960 n (n - 1) (n - 4) 1907 n (n - 1) (n - 4) + ----------------------------- - --------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 1937682 n ((n - 1) ) (n - 3) 886248 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n 2 n 181440 n ((n - 1) ) (n - 3) 2900717 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 4558677 n ((n - 1) ) (n - 3) 1308318 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 2166961 n ((n - 1) ) (n - 3) 2515893 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 14 n n 287 n (n - 1) (n - 2) 3405 n (n - 1) (n - 3) - ------------------------- + -------------------------- 5 n 2 6 5 n 2 8 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 13 n n 12 n n 44673 n (n - 1) (n - 3) 199647 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 11 n n 10 n n 154943 n (n - 1) (n - 3) 166890 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 8 5 n 2 8 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 244172 n (n - 1) (n - 3) 230658 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 8 5 n 2 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 23807 n (n - 1) (n - 2) 2828 n (n - 1) (n - 2) - -------------------------- + ------------------------- 5 n 2 6 5 n 2 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n n 9 n n 11361 n (n - 1) (n - 2) 6111 n (n - 1) (n - 2) - --------------------------- + ------------------------- 5 n 2 6 5 n 2 6 8 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 6 n n 11 n n 840 n (n - 1) (n - 2) 819 n (n - 1) (n - 2) - ------------------------ + ------------------------- 5 n 2 6 5 n 2 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 583 n ((n - 1) ) (n - 2) 2809 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 35887 n ((n - 1) ) (n - 2) 20014 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 170531 n ((n - 1) ) (n - 2) 589669 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 12 n 4 7 12 n 4 7 8 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 81078 n ((n - 1) ) (n - 2) 93318 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 71046 n ((n - 1) ) (n - 2) 32076 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 18 n 2 n 6480 n ((n - 1) ) (n - 2) 112983 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 12 n 4 7 8 n 3 9 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 3) 17 n 2 n 11 n 2 n 168519 n ((n - 1) ) (n - 3) 33246 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 8 n 3 9 9 n 3 6 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 2) 10 n 2 n 13 n 2 n 18144 n ((n - 1) ) (n - 2) 47599 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 6 9 n 3 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 12 n 2 n 9 n 2 n 35143 n ((n - 1) ) (n - 2) 4320 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 9 n 3 6 9 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 2 n 20 n n 43245 n ((n - 1) ) (n - 2) n (n - 1) (n - 4) - ------------------------------ - --------------------------- 9 n 3 6 5 n 2 10 4 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 4) 19 n n 18 n n 59 n (n - 1) (n - 4) 1577 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 10 5 n 2 10 96 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 17 n n 16 n n 25303 n (n - 1) (n - 4) 90733 n (n - 1) (n - 4) + --------------------------- - --------------------------- 5 n 2 10 5 n 2 10 96 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 15 n n 14 n n 692107 n (n - 1) (n - 4) 11578451 n (n - 1) (n - 4) + ---------------------------- - ------------------------------ 5 n 2 10 5 n 2 10 32 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 13 n n 12 n n 47936509 n (n - 1) (n - 4) 37002871 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 10 5 n 2 10 96 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 11 n n 10 n n 10593853 n (n - 1) (n - 4) 5901737 n (n - 1) (n - 4) + ------------------------------ - ----------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 13944681 n (n - 1) (n - 4) 5496696 n (n - 1) (n - 4) + ----------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 6 n n 2583144 n (n - 1) (n - 4) 544320 n (n - 1) (n - 4) + ---------------------------- - --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 17 n n 16 n n n (n - 1) (n - 3) 39 n (n - 1) (n - 3) - ------------------------- + ------------------------- 5 n 2 8 5 n 2 8 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n n 7 n n 337 n (n - 1) (n - 3) 126288 n (n - 1) (n - 3) - ------------------------- - --------------------------- 5 n 2 8 5 n 2 8 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 14 n n 30240 n (n - 1) (n - 3) 7 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 8 5 n 2 6 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 2) 13 n n 12 n 3 n 7 n (n - 1) (n - 2) 6480 n ((n - 1) ) (n - 2) + ----------------------- - ----------------------------- 5 n 2 6 13 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 22 n 2 n 54752 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ------------------------------ + -------------------------- 13 n 4 6 9 n 3 8 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 11 n ((n - 1) ) (n - 3) 875 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 3 8 9 n 3 8 6 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 5207 n ((n - 1) ) (n - 3) 27589 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 9 n 3 8 9 n 3 8 12 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 302976 n ((n - 1) ) (n - 3) 60480 n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 9 n 3 8 9 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 29 n ((n - 1) ) (n - 2) 93 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 3 6 9 n 3 6 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 1389 n ((n - 1) ) (n - 2) 13365 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 9 n 3 6 9 n 3 6 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 2 n 17 n 2 n n ((n - 1) ) (n - 2) 19328 n ((n - 1) ) (n - 3) + ------------------------- - ------------------------------ 9 n 3 6 9 n 3 8 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 1886045 n ((n - 1) ) (n - 3) 2815931 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 9 n 3 8 9 n 3 8 24 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1543451 n ((n - 1) ) (n - 3) 2452858 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 9 n 3 8 9 n 3 8 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 914870 n ((n - 1) ) (n - 3) 681876 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 3 8 9 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 16 n 3 n 98808 n ((n - 1) ) (n - 2) 175879 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 13 n 4 6 13 n 4 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 13 n 3 n 10 n 32616 n ((n - 1) ) (n - 2) 240488963 n (n - 5) + ------------------------------ + ---------------------- 13 n 4 6 n 13 (n - 1) (n ) (n - 2) 6 n (n - 5) 6 n 5 n 18 n 1020978054 n (n - 5) 930374568 n (n - 5) n (n - 5) + ---------------------- - --------------------- + --------------- n 13 n 13 n 13 n (n - 5) n (n - 5) 96 n (n - 5) 16 n 17 n 15 n 3445 n (n - 5) 29 n (n - 5) 27425 n (n - 5) + ----------------- - --------------- - ------------------ n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 32 n (n - 5) 14 n 13 n 12 n 1323907 n (n - 5) 5062343 n (n - 5) 128154455 n (n - 5) + -------------------- - -------------------- + ---------------------- n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 96 n (n - 5) 11 n 8 n 9 n 269687275 n (n - 5) 1146586090 n (n - 5) 143400686 n (n - 5) - ---------------------- + ---------------------- - --------------------- n 13 n 13 n 13 32 n (n - 5) 3 n (n - 5) n (n - 5) 4 n 7 n 3 n 501340320 n (n - 5) 1487663125 n (n - 5) 119750400 n (n - 5) + --------------------- - ---------------------- - --------------------- n 13 n 13 n 13 n (n - 5) 2 n (n - 5) n (n - 5) 17 n 5 16 n 5 9 n 3 11430 n ((n - 1) ) 5724 n ((n - 1) ) 144 n ((n - 1) ) - --------------------- + -------------------- - ------------------ 21 n 5 21 n 5 13 n 3 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 11 n 3 10 n 3 16 n 3 462 n ((n - 1) ) 396 n ((n - 1) ) n ((n - 1) ) - ------------------- + ------------------- + ----------------- 13 n 3 13 n 3 13 n 3 (n - 1) (n ) (n - 1) (n ) 6 (n - 1) (n ) 15 n 3 14 n 3 13 n 3 19 n ((n - 1) ) 51 n ((n - 1) ) 677 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 13 n 3 13 n 3 13 n 3 6 (n - 1) (n ) 2 (n - 1) (n ) 6 (n - 1) (n ) 12 n 3 6 n 2 8 n 2 889 n ((n - 1) ) 12 n ((n - 1) ) 52 n ((n - 1) ) + ------------------- + ----------------- + ----------------- 13 n 3 9 n 2 9 n 2 3 (n - 1) (n ) (n - 1) (n ) 3 (n - 1) (n ) 7 n 2 11 n 2 10 n 2 23 n ((n - 1) ) n ((n - 1) ) 7 n ((n - 1) ) - ----------------- - ----------------- + ----------------- 9 n 2 9 n 2 9 n 2 (n - 1) (n ) 12 (n - 1) (n ) 6 (n - 1) (n ) 9 n 2 26 n 5 25 n 5 77 n ((n - 1) ) n ((n - 1) ) 29 n ((n - 1) ) - ----------------- + ------------------ - ------------------ 9 n 2 21 n 5 21 n 5 12 (n - 1) (n ) 24 (n - 1) (n ) 24 (n - 1) (n ) 24 n 5 23 n 5 22 n 5 95 n ((n - 1) ) 495 n ((n - 1) ) 15385 n ((n - 1) ) + ------------------ - ------------------- + --------------------- 21 n 5 21 n 5 21 n 5 6 (n - 1) (n ) 4 (n - 1) (n ) 24 (n - 1) (n ) 21 n 5 20 n 5 19 n 5 55465 n ((n - 1) ) 71005 n ((n - 1) ) 10760 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 21 n 5 21 n 5 21 n 5 24 (n - 1) (n ) 12 (n - 1) (n ) (n - 1) (n ) 18 n 5 21 n 3 n 13620 n ((n - 1) ) 1203 n ((n - 1) ) (n - 2) + --------------------- + ----------------------------- 21 n 5 13 n 4 6 (n - 1) (n ) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 29487 n ((n - 1) ) (n - 2) 63369 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 4 6 13 n 4 6 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 18 n 3 n 23 n 3 n 391613 n ((n - 1) ) (n - 2) 17 n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------- 13 n 4 6 13 n 4 6 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 22 n 3 n 24 n 3 n 523 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- - --------------------------- 13 n 4 6 13 n 4 6 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 14 n 3 n 73629 n ((n - 1) ) (n - 2) - ------------------------------ 13 n 4 6 (n - 1) (n ) (n - 2) and in Maple notation 648*n^12*((n-1)^n)^4/(n-1)^17/(n^n)^4-1296*n^15*((n-1)^n)^5/(n-1)^21/(n^n)^5-1/ 6*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/3*n^13*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-2)^n/(n-2)^7-143/3*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+868/3*n^11 *(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/6*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n -2)^n/(n-2)^7+7147/3*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-3214*n^8*(n-1) ^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+2364*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-\ 2)^7-720*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-1/8*n^21*((n-1)^n)^4/(n-1) ^17/(n^n)^4+3*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^4-127/4*n^19*((n-1)^n)^4/(n-1)^17 /(n^n)^4+389/2*n^18*((n-1)^n)^4/(n-1)^17/(n^n)^4-6081/8*n^17*((n-1)^n)^4/(n-1)^ 17/(n^n)^4+3931/2*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^4-3363*n^15*((n-1)^n)^4/(n-1) ^17/(n^n)^4+3672*n^14*((n-1)^n)^4/(n-1)^17/(n^n)^4-2322*n^13*((n-1)^n)^4/(n-1)^ 17/(n^n)^4-15/2/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/8/(n^n)*n^13*(n-4)^n/(n-4)^11-\ 3135/(n^n)*n^12*(n-4)^n/(n-4)^11+256443/8/(n^n)*n^11*(n-4)^n/(n-4)^11-449955/2/ (n^n)*n^10*(n-4)^n/(n-4)^11+8873843/8/(n^n)*n^9*(n-4)^n/(n-4)^11-3863310/(n^n)* n^8*(n-4)^n/(n-4)^11+9412832/(n^n)*n^7*(n-4)^n/(n-4)^11-15606690/(n^n)*n^6*(n-4 )^n/(n-4)^11+16661682/(n^n)*n^5*(n-4)^n/(n-4)^11-10239480/(n^n)*n^4*(n-4)^n/(n-\ 4)^11+1/8/(n^n)*n^15*(n-4)^n/(n-4)^11+2721600/(n^n)*n^3*(n-4)^n/(n-4)^11+65/24* n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1/24*n^20*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^11+1/12*(n-2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+ 175/12*(n-2)^n/(n-2)^7/(n^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/ (n-2)^7/(n^n)*n^5-147*(n-2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3+1/ 8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-31/8*n^18*((n-1)^n)^2/(n-1)^ 8/(n^n)^3*(n-2)^n/(n-2)^7+211/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^ 7-1661/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+16745/8*n^15*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-56455/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -2)^n/(n-2)^7+16106*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-24546*n^12 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+23868*n^11*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-2)^n/(n-2)^7-13338*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+ 3240*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1/4*n^17*(n-1)^n/(n-1)^4/( n^n)^2*(n-3)^n/(n-3)^9+43/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-407/2* n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+4473/2*n^14*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^9-63369/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+303555/4 *n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-250682*n^11*(n-1)^n/(n-1)^4/(n^n) ^2*(n-3)^n/(n-3)^9+570596*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-876200*n ^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+863268*n^8*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^9-490032*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+120960*n^6*(n -1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+1/16*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^9-3*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1035/16*n^20*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-6637/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^9+7/24/(n^n)*n^12*(n-3)^n/(n-3)^9-133/12/(n^n)*n^11*(n-3)^n/(n -3)^9+721/4/(n^n)*n^10*(n-3)^n/(n-3)^9-3283/2/(n^n)*n^9*(n-3)^n/(n-3)^9+73549/8 /(n^n)*n^8*(n-3)^n/(n-3)^9-130879/4/(n^n)*n^7*(n-3)^n/(n-3)^9+442211/6/(n^n)*n^ 6*(n-3)^n/(n-3)^9-302603/3/(n^n)*n^5*(n-3)^n/(n-3)^9+75684/(n^n)*n^4*(n-3)^n/(n -3)^9-23520/(n^n)*n^3*(n-3)^n/(n-3)^9-5443200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^11+33445/24*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-130483/8*n^ 16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+1077505/8*n^15*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^11-19411601/24*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+ 86074615/24*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-141539057/12*n^12*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+85850710/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^11-50390708*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+62396010 *n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-51296364*n^8*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^11+25014960*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1907 /24*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1937682*n^11*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^9+886248*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-\ 3)^9-181440*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+2900717/16*n^16*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-4558677/8*n^15*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-3)^n/(n-3)^9+1308318*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-\ 2166961*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+2515893*n^12*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-287/4*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^6+3405/4*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-44673/8*n^13*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+199647/8*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/ (n-3)^8-154943/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+166890*n^10*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-244172*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^8+230658*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-23807/6*n^8*(n-1)^n/( n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+2828*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6 -11361/8*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+6111/2*n^9*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-2)^n/(n-2)^6-840*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+819/2 *n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-1/24*n^24*((n-1)^n)^3/(n-1)^12/(n ^n)^4*(n-2)^n/(n-2)^7+3/2*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-583 /24*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+2809/12*n^21*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-35887/24*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 2)^n/(n-2)^7+20014/3*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-170531/8 *n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+589669/12*n^17*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-81078*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n /(n-2)^7+93318*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-71046*n^14*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+32076*n^13*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-2)^n/(n-2)^7-6480*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+ 112983/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-168519/4*n^17*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+33246*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -2)^n/(n-2)^6-18144*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6+47599/2*n^ 13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6-35143*n^12*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-2)^n/(n-2)^6+4320*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6-\ 43245/4*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6-1/96*n^20*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^10+59/96*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 10-1577/96*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+25303/96*n^17*(n-1)^n/ (n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-90733/32*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/ (n-4)^10+692107/32*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-11578451/96*n^ 14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+47936509/96*n^13*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^10-37002871/24*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 10+10593853/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-5901737*n^10*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+13944681/2*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^10-5496696*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10+2583144*n^7*(n -1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^10-544320*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^10-1/8*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+39/8*n^16*(n-1)^n/ (n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8-337/4*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3 )^8-126288*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^8+30240*n^6*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-3)^n/(n-3)^8-7/24*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6+7*n ^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^6-6480*n^12*((n-1)^n)^3/(n-1)^13/(n^n )^4*(n-2)^n/(n-2)^6+54752*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+1/ 24*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8-11/6*n^21*((n-1)^n)^2/(n-1) ^9/(n^n)^3*(n-3)^n/(n-3)^8+875/24*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3 )^8-5207/12*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8+27589/8*n^18*((n-1 )^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8+302976*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-3)^n/(n-3)^8-60480*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8-29/4*n^18 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6+93*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^ 3*(n-2)^n/(n-2)^6-1389/2*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6+13365 /4*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^6+1/4*n^19*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-2)^n/(n-2)^6-19328*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^ 8+1886045/24*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8-2815931/12*n^15*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8+1543451/3*n^14*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-3)^n/(n-3)^8-2452858/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3) ^8+914870*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8-681876*n^11*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^8+98808*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-\ 2)^n/(n-2)^6-175879/2*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+32616*n ^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+240488963/6/(n^n)*n^10*(n-5)^n /(n-5)^13+1020978054/(n^n)*n^6*(n-5)^n/(n-5)^13-930374568/(n^n)*n^5*(n-5)^n/(n-\ 5)^13+1/96/(n^n)*n^18*(n-5)^n/(n-5)^13+3445/96/(n^n)*n^16*(n-5)^n/(n-5)^13-29/ 32/(n^n)*n^17*(n-5)^n/(n-5)^13-27425/32/(n^n)*n^15*(n-5)^n/(n-5)^13+1323907/96/ (n^n)*n^14*(n-5)^n/(n-5)^13-5062343/32/(n^n)*n^13*(n-5)^n/(n-5)^13+128154455/96 /(n^n)*n^12*(n-5)^n/(n-5)^13-269687275/32/(n^n)*n^11*(n-5)^n/(n-5)^13+ 1146586090/3/(n^n)*n^8*(n-5)^n/(n-5)^13-143400686/(n^n)*n^9*(n-5)^n/(n-5)^13+ 501340320/(n^n)*n^4*(n-5)^n/(n-5)^13-1487663125/2/(n^n)*n^7*(n-5)^n/(n-5)^13-\ 119750400/(n^n)*n^3*(n-5)^n/(n-5)^13-11430*n^17*((n-1)^n)^5/(n-1)^21/(n^n)^5+ 5724*n^16*((n-1)^n)^5/(n-1)^21/(n^n)^5-144*n^9*((n-1)^n)^3/(n-1)^13/(n^n)^3-462 *n^11*((n-1)^n)^3/(n-1)^13/(n^n)^3+396*n^10*((n-1)^n)^3/(n-1)^13/(n^n)^3+1/6*n^ 16*((n-1)^n)^3/(n-1)^13/(n^n)^3-19/6*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^3+51/2*n^ 14*((n-1)^n)^3/(n-1)^13/(n^n)^3-677/6*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^3+889/3*n ^12*((n-1)^n)^3/(n-1)^13/(n^n)^3+12*n^6*((n-1)^n)^2/(n-1)^9/(n^n)^2+52/3*n^8*(( n-1)^n)^2/(n-1)^9/(n^n)^2-23*n^7*((n-1)^n)^2/(n-1)^9/(n^n)^2-1/12*n^11*((n-1)^n )^2/(n-1)^9/(n^n)^2+7/6*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^2-77/12*n^9*((n-1)^n)^2/ (n-1)^9/(n^n)^2+1/24*n^26*((n-1)^n)^5/(n-1)^21/(n^n)^5-29/24*n^25*((n-1)^n)^5/( n-1)^21/(n^n)^5+95/6*n^24*((n-1)^n)^5/(n-1)^21/(n^n)^5-495/4*n^23*((n-1)^n)^5/( n-1)^21/(n^n)^5+15385/24*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^5-55465/24*n^21*((n-1) ^n)^5/(n-1)^21/(n^n)^5+71005/12*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^5-10760*n^19*(( n-1)^n)^5/(n-1)^21/(n^n)^5+13620*n^18*((n-1)^n)^5/(n-1)^21/(n^n)^5+1203/4*n^21* ((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-29487/16*n^20*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-2)^n/(n-2)^6+63369/8*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2 )^6-391613/16*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6+17/8*n^23*((n-1 )^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-523/16*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^6-1/16*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6-73629* n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^6 The, 4, 2, mixed moment of, X[3], and , X[4], is 20 n 3 n 19 n 3 n 40781 n ((n - 1) ) (n - 2) 898565 n ((n - 1) ) (n - 2) ------------------------------ - ------------------------------- 14 n 4 6 14 n 4 6 4 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 18 n 3 n 25 n 3 n 610621 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------- 14 n 4 6 14 n 4 6 6 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 19 n ((n - 1) ) (n - 2) 659 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 14 n 4 6 14 n 4 6 12 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 863 n ((n - 1) ) (n - 2) 16245 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 14 n 4 6 14 n 4 6 3 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 218088 n ((n - 1) ) (n - 2) 91296 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 14 n 4 6 14 n 4 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 901132 n ((n - 1) ) (n - 2) 312574 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 14 n 4 6 14 n 4 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 17 n 3 n 17280 n ((n - 1) ) (n - 2) 613895 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 14 n 4 6 14 n 4 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 23 n 2 n 22 n 2 n n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + --------------------------- - ------------------------ 10 n 3 8 10 n 3 8 48 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 1051 n ((n - 1) ) (n - 3) 2319 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 8 10 n 3 8 48 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 124423 n ((n - 1) ) (n - 3) 66245 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 10 n 3 8 10 n 3 8 48 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 3741533 n ((n - 1) ) (n - 3) 2196007 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 48 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 2179691 n ((n - 1) ) (n - 3) 1437777 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 6278021 n ((n - 1) ) (n - 3) 2170678 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 8 10 n 3 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1515240 n ((n - 1) ) (n - 3) 636192 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 10 n 3 8 10 n 3 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 25 n 3 n 120960 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) + ------------------------------ - --------------------------- 10 n 3 8 13 n 4 7 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 5 n ((n - 1) ) (n - 2) 727 n ((n - 1) ) (n - 2) + -------------------------- - ---------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 1325 n ((n - 1) ) (n - 2) 19453 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 7 13 n 4 7 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 25305 n ((n - 1) ) (n - 2) 1152041 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 13 n 4 7 13 n 4 7 2 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 444318 n ((n - 1) ) (n - 2) 316260 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 832903 n ((n - 1) ) (n - 2) 1612855 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 134784 n ((n - 1) ) (n - 2) 417630 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 23 n 2 n 25920 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + ------------------------------ + -------------------------- 13 n 4 7 9 n 3 9 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 13 n ((n - 1) ) (n - 3) 409 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 8707 n ((n - 1) ) (n - 3) 166079 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 9 n 3 9 9 n 3 9 6 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 93834 n ((n - 1) ) (n - 3) 5597021 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 10360111 n ((n - 1) ) (n - 3) 4783542 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 3 9 9 n 3 9 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 29600932 n ((n - 1) ) (n - 3) 44734948 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 16001672 n ((n - 1) ) (n - 3) 11515968 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 4968576 n ((n - 1) ) (n - 3) 967680 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n n 19 n n 23 n (n - 1) (n - 4) 2167 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 11 5 n 2 11 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 21 n n 17 n n n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) - --------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 8 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 12 n n 11 n n 75796589 n (n - 1) (n - 4) 494574964 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 10 n n 9 n n 263958842 n (n - 1) (n - 4) 300880404 n (n - 1) (n - 4) + ------------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 230200416 n (n - 1) (n - 4) 105503040 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 6 n n 13691 n (n - 1) (n - 4) 21772800 n (n - 1) (n - 4) + --------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 19 n ((n - 1) ) (n - 3) 489 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 20 n 2 n 23 n 2 n 22589 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------- 8 n 3 10 8 n 3 10 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 77483 n ((n - 1) ) (n - 3) 563641 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 8967401 n ((n - 1) ) (n - 3) 11741269 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 48 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 17164879 n ((n - 1) ) (n - 3) 13941823 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 7339514 n ((n - 1) ) (n - 3) 8193573 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 6108462 n ((n - 1) ) (n - 3) 2719224 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 13 n n 544320 n ((n - 1) ) (n - 3) 409966293 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 8 n 3 10 4 n 2 12 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 4) 9 n n 8 n n 737652474 n (n - 1) (n - 4) 589274964 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 1095529934 n (n - 1) (n - 4) 1900332467 n (n - 1) (n - 4) - -------------------------------- + -------------------------------- 4 n 2 12 4 n 2 12 3 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 7 n n 15 n 5 280607760 n (n - 1) (n - 4) 2592 n ((n - 1) ) - ------------------------------ + -------------------- 4 n 2 12 22 n 5 (n - 1) (n ) (n - 4) (n - 1) (n ) 12 n 4 15 n 5 14 n n 576 n ((n - 1) ) 324 n ((n - 1) ) n (n - 1) (n - 2) - ------------------- - ------------------- - ------------------------- 18 n 4 21 n 5 4 n 2 7 (n - 1) (n ) (n - 1) (n ) 6 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 868 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 3214 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 2364 n (n - 1) (n - 2) 720 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n n 23 n n n (n - 1) (n - 5) n (n - 1) (n - 5) - ---------------------------- + -------------------------- 5 n 2 13 5 n 2 13 288 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 22 n n 13 n n 709 n (n - 1) (n - 5) 17747927041 n (n - 1) (n - 5) - --------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 48 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 9 n n 8 n n 17775008448 n (n - 1) (n - 5) 12147197184 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 21 n n 19 n n 19261 n (n - 1) (n - 5) 4887337 n (n - 1) (n - 5) + --------------------------- + ----------------------------- 5 n 2 13 5 n 2 13 48 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 20 n n 18 n n 29945 n (n - 1) (n - 5) 150616949 n (n - 1) (n - 5) - --------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 4 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 14 n 13 n 12 n 15 n (n - 4) 1601 n (n - 4) 3135 n (n - 4) - --------------- + ----------------- - ----------------- n 11 n 11 n 11 2 n (n - 4) 8 n (n - 4) n (n - 4) 11 n 10 n 9 n 256443 n (n - 4) 449955 n (n - 4) 8873843 n (n - 4) + ------------------- - ------------------- + ------------------- n 11 n 11 n 11 8 n (n - 4) 2 n (n - 4) 8 n (n - 4) 8 n 7 n 6 n 3863310 n (n - 4) 9412832 n (n - 4) 15606690 n (n - 4) - ------------------- + ------------------- - -------------------- n 11 n 11 n 11 n (n - 4) n (n - 4) n (n - 4) 5 n 4 n 15 n 16661682 n (n - 4) 10239480 n (n - 4) n (n - 4) + -------------------- - -------------------- + -------------- n 11 n 11 n 11 n (n - 4) n (n - 4) 8 n (n - 4) 3 n 19 n 18 n 2721600 n (n - 4) n (n - 5) 25 n (n - 5) + ------------------- + --------------- - --------------- n 11 n 14 n 14 n (n - 4) 48 n (n - 5) 12 n (n - 5) 17 n 16 n 15 n 286 n (n - 5) 31765 n (n - 5) 1196741 n (n - 5) + ---------------- - ------------------ + -------------------- n 14 n 14 n 14 3 n (n - 5) 12 n (n - 5) 24 n (n - 5) 14 n 13 n 12 n 8099455 n (n - 5) 40698229 n (n - 5) 618767435 n (n - 5) - -------------------- + --------------------- - ---------------------- n 14 n 14 n 14 12 n (n - 5) 6 n (n - 5) 12 n (n - 5) 11 n 10 n 14365627133 n (n - 5) 3986760635 n (n - 5) + ------------------------ - ----------------------- n 14 n 14 48 n (n - 5) 3 n (n - 5) 6 n 5 n 28406178540 n (n - 5) 25192419408 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 n (n - 5) n (n - 5) 8 n 9 n 34274227715 n (n - 5) 13478425688 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 3 n (n - 5) 3 n (n - 5) 4 n 7 n 13274349120 n (n - 5) 21381576733 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 n (n - 5) n (n - 5) 3 n 9 n 3 3113510400 n (n - 5) 48 n ((n - 1) ) + ---------------------- + ----------------- n 14 14 n 3 n (n - 5) (n - 1) (n ) 17 n n 16 n n 398181407 n (n - 1) (n - 5) 4941961453 n (n - 1) (n - 5) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 48 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 15 n n 14 n n 12084698483 n (n - 1) (n - 5) 3889581111 n (n - 1) (n - 5) + --------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 48 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 11 n n 12 n n 12877162133 n (n - 1) (n - 5) 126564948163 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 7 n n 10 n n 5048559360 n (n - 1) (n - 5) 17757366112 n (n - 1) (n - 5) + ------------------------------- - --------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 30 n 4 n 958003200 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 5 n 2 13 16 n 5 8 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 16 n 5 8 16 n 5 8 12 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 3533 n ((n - 1) ) (n - 2) 7151 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 16 n 5 8 16 n 5 8 144 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 70465 n ((n - 1) ) (n - 2) 1035065 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------------- 16 n 5 8 16 n 5 8 48 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 1282525 n ((n - 1) ) (n - 2) 14599315 n ((n - 1) ) (n - 2) - -------------------------------- + --------------------------------- 16 n 5 8 16 n 5 8 48 (n - 1) (n ) (n - 2) 192 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 23857465 n ((n - 1) ) (n - 2) 13157803 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 16 n 5 8 16 n 5 8 144 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 1352657 n ((n - 1) ) (n - 2) 1203939 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 16 n 5 8 16 n 5 8 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 182367 n ((n - 1) ) (n - 2) 67203 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 16 n 5 8 16 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 24 n 3 n 11340 n ((n - 1) ) (n - 2) 88549 n ((n - 1) ) (n - 3) - ------------------------------ - ------------------------------ 16 n 5 8 12 n 4 10 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 3) 23 n 3 n 28 n 3 n 166039 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------- - ----------------------------- 12 n 4 10 12 n 4 10 8 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 31 n ((n - 1) ) (n - 3) 293 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 12 n 4 10 12 n 4 10 72 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 25 n 3 n 22 n 3 n 15133 n ((n - 1) ) (n - 3) 9408355 n ((n - 1) ) (n - 3) + ------------------------------ - -------------------------------- 12 n 4 10 12 n 4 10 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 45103175 n ((n - 1) ) (n - 3) 110970905 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 12 n 4 10 12 n 4 10 72 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 237339595 n ((n - 1) ) (n - 3) 521394539 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 12 n 4 10 12 n 4 10 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 24258263 n ((n - 1) ) (n - 3) 30371137 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 27474324 n ((n - 1) ) (n - 3) 16930404 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 6345648 n ((n - 1) ) (n - 3) 1088640 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 2 n 24 n 2 n 27 n ((n - 1) ) (n - 4) 94 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 8 n 3 12 8 n 3 12 32 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 23 n 2 n 26 n 2 n 16997 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------ + --------------------------- 8 n 3 12 8 n 3 12 24 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 16 n 2 n 1464456559 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 4 (n - 1) (n ) (n - 4) 12 n 2 n 1913224356 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 1249640946 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 1503045333 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 20356459529 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 12 24 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 495755640 n ((n - 1) ) (n - 4) 5830853 n ((n - 1) ) (n - 4) + ---------------------------------- - -------------------------------- 8 n 3 12 8 n 3 12 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 174531 n ((n - 1) ) (n - 4) 3038050 n ((n - 1) ) (n - 4) + ------------------------------- + -------------------------------- 8 n 3 12 8 n 3 12 16 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 18 n 2 n 3057725605 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 96 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 11747772685 n ((n - 1) ) (n - 4) 12909985 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 8 n 3 12 8 n 3 12 96 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 3988850061 n ((n - 1) ) (n - 4) 89812800 n ((n - 1) ) (n - 4) - ----------------------------------- - -------------------------------- 8 n 3 12 8 n 3 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n n 21 n n 847 n (n - 1) (n - 5) 12545 n (n - 1) (n - 5) - --------------------------- + --------------------------- 4 n 2 14 4 n 2 14 24 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 20 n n 19 n n 169791 n (n - 1) (n - 5) 7521265 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 4 n 2 14 4 n 2 14 8 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 18 n n 17 n n 31370989 n (n - 1) (n - 5) 358115485 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 4 n 2 14 4 n 2 14 9 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 16 n n 15 n n 9564830275 n (n - 1) (n - 5) 50155574755 n (n - 1) (n - 5) - -------------------------------- + --------------------------------- 4 n 2 14 4 n 2 14 48 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 14 n n 13 n n 34488301367 n (n - 1) (n - 5) 41862306655 n (n - 1) (n - 5) - --------------------------------- + --------------------------------- 4 n 2 14 4 n 2 14 8 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 103224505800 n (n - 1) (n - 5) 73546590816 n (n - 1) (n - 5) + --------------------------------- - -------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 67954172545 n (n - 1) (n - 5) 316386422902 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 7 n n 10 n n 31737882240 n (n - 1) (n - 5) 98504257502 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 19 n n 6227020800 n (n - 1) (n - 5) 65 n (n - 1) (n - 4) - ------------------------------- + --------------------------- 4 n 2 14 4 n 2 11 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 4) 20 n n 12 n 3 n n (n - 1) (n - 4) 1451520 n ((n - 1) ) (n - 3) - --------------------------- - -------------------------------- 4 n 2 11 13 n 4 9 24 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n n ((n - 1) ) (n - 3) 19 n ((n - 1) ) (n - 3) - --------------------------- + --------------------------- 13 n 4 9 13 n 4 9 48 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 1493 n ((n - 1) ) (n - 3) 23861 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 13 n 4 9 13 n 4 9 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 86837 n ((n - 1) ) (n - 3) 2060887 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 13 n 4 9 13 n 4 9 16 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 22 n 3 n 20 n 2 n 12223535 n ((n - 1) ) (n - 3) 29742295 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 13 n 4 9 9 n 3 11 48 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 177109595 n ((n - 1) ) (n - 4) 1640031635 n ((n - 1) ) (n - 4) - ---------------------------------- + ----------------------------------- 9 n 3 11 9 n 3 11 36 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 742290890 n ((n - 1) ) (n - 4) 4204112459 n ((n - 1) ) (n - 4) - ---------------------------------- + ----------------------------------- 9 n 3 11 9 n 3 11 9 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 4629089948 n ((n - 1) ) (n - 4) 869941514 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 9 n 3 11 9 n 3 11 9 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 2 n 1106118496 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 3 11 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1020595848 n ((n - 1) ) (n - 4) 643496832 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 9 n 3 11 9 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 247294080 n ((n - 1) ) (n - 4) 3835447 n ((n - 1) ) (n - 4) + ---------------------------------- - -------------------------------- 9 n 3 11 9 n 3 11 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 9 n 2 n 17 n 3 43545600 n ((n - 1) ) (n - 4) n ((n - 1) ) - -------------------------------- + ------------------ 9 n 3 11 14 n 3 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) 16 n 3 15 n 3 14 n 3 23 n ((n - 1) ) 229 n ((n - 1) ) 1289 n ((n - 1) ) - ------------------ + ------------------- - -------------------- 14 n 3 14 n 3 14 n 3 72 (n - 1) (n ) 72 (n - 1) (n ) 72 (n - 1) (n ) 13 n 3 12 n 3 11 n 3 2243 n ((n - 1) ) 2471 n ((n - 1) ) 187 n ((n - 1) ) + -------------------- - -------------------- + ------------------- 14 n 3 14 n 3 14 n 3 36 (n - 1) (n ) 18 (n - 1) (n ) (n - 1) (n ) 10 n 3 13 n 12 n 144 n ((n - 1) ) n (n - 3) 47 n (n - 3) - ------------------- + --------------- - --------------- 14 n 3 n 10 n 10 (n - 1) (n ) 72 n (n - 3) 72 n (n - 3) 11 n 10 n 9 n 40 n (n - 3) 1865 n (n - 3) 27391 n (n - 3) + --------------- - ----------------- + ----------------- n 10 n 10 n 10 3 n (n - 3) 12 n (n - 3) 24 n (n - 3) 8 n 7 n 6 n 131957 n (n - 3) 631165 n (n - 3) 655015 n (n - 3) - ------------------ + ------------------ - ------------------ n 10 n 10 n 10 24 n (n - 3) 36 n (n - 3) 18 n (n - 3) 5 n 4 n 3 n 46833 n (n - 3) 33556 n (n - 3) 10080 n (n - 3) + ----------------- - ----------------- + ----------------- n 10 n 10 n 10 n (n - 3) n (n - 3) n (n - 3) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 27 n 5 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n n ((n - 1) ) + --------------- - --------------- + -------------- + ------------------ 7 n 7 n 7 n 22 n 5 3 (n - 2) n (n - 2) n (n - 2) n 48 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 11 n ((n - 1) ) 31 n ((n - 1) ) 2245 n ((n - 1) ) - ------------------ + ------------------ - -------------------- 22 n 5 22 n 5 22 n 5 16 (n - 1) (n ) 3 (n - 1) (n ) 24 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 27265 n ((n - 1) ) 117005 n ((n - 1) ) 60645 n ((n - 1) ) + --------------------- - ---------------------- + --------------------- 22 n 5 22 n 5 22 n 5 48 (n - 1) (n ) 48 (n - 1) (n ) 8 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 103285 n ((n - 1) ) 28330 n ((n - 1) ) 32955 n ((n - 1) ) - ---------------------- + --------------------- - --------------------- 22 n 5 22 n 5 22 n 5 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 5 16 n 5 25722 n ((n - 1) ) 12096 n ((n - 1) ) + --------------------- - --------------------- 22 n 5 22 n 5 (n - 1) (n ) (n - 1) (n ) 22 n 4 n 18 n 4 n 2475335 n ((n - 1) ) (n - 2) 1460664 n ((n - 1) ) (n - 2) + -------------------------------- + -------------------------------- 17 n 5 7 17 n 5 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 30 n 4 n 865800 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ------------------------------- + --------------------------- 17 n 5 7 17 n 5 7 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 28 n 4 n 29 n 4 n 311 n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) + ---------------------------- - -------------------------- 17 n 5 7 17 n 5 7 24 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 11825 n ((n - 1) ) (n - 2) 34157 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 17 n 5 7 17 n 5 7 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 214385 n ((n - 1) ) (n - 2) 3020495 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 17 n 5 7 17 n 5 7 24 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 23 n 4 n 20 n 4 n 1200875 n ((n - 1) ) (n - 2) 4198274 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 17 n 5 7 17 n 5 7 8 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 15673375 n ((n - 1) ) (n - 2) 312768 n ((n - 1) ) (n - 2) - --------------------------------- + ------------------------------- 17 n 5 7 17 n 5 7 18 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 1681210 n ((n - 1) ) (n - 2) 51840 n ((n - 1) ) (n - 2) - -------------------------------- - ------------------------------ 17 n 5 7 17 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 18487125 n ((n - 1) ) (n - 3) 48646435 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 16 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 132434395 n ((n - 1) ) (n - 3) 23236947 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 12 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 112321337 n ((n - 1) ) (n - 3) 45248556 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 39639612 n ((n - 1) ) (n - 3) 23726592 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 26 n 2 n 8662464 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) + -------------------------------- + ----------------------------- 13 n 4 9 10 n 3 10 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 17 n ((n - 1) ) (n - 4) 1067 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 10 n 3 10 10 n 3 10 144 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 20527 n ((n - 1) ) (n - 4) 67793 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 10 n 3 10 10 n 3 10 288 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 2610919 n ((n - 1) ) (n - 4) 18974893 n ((n - 1) ) (n - 4) - -------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 288 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n 106329845 n ((n - 1) ) (n - 4) 930311495 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 288 (n - 1) (n ) (n - 4) 576 (n - 1) (n ) (n - 4) 17 n 2 n 16 n 2 n 1597669355 n ((n - 1) ) (n - 4) 538523201 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 288 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 1133425423 n ((n - 1) ) (n - 4) 204295831 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 36 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 13 n 2 n 12 n 2 n 124991983 n ((n - 1) ) (n - 4) 55673814 n ((n - 1) ) (n - 4) - ---------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 33996888 n ((n - 1) ) (n - 4) 12691296 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n 2 n 24 n n 2177280 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) - ------------------------------- - ---------------------------- 10 n 3 10 4 n 2 14 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 5) 23 n n 19 n 2 n 35 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) + --------------------------- + ------------------------- 4 n 2 14 8 n 3 7 48 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 31 n ((n - 1) ) (n - 2) 211 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 1661 n ((n - 1) ) (n - 2) 16745 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 8 n 3 7 8 n 3 7 4 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 56455 n ((n - 1) ) (n - 2) 16106 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 24546 n ((n - 1) ) (n - 2) 23868 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 13338 n ((n - 1) ) (n - 2) 3240 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n n 16 n n n (n - 1) (n - 3) 43 n (n - 1) (n - 3) - ------------------------- + ------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n n 14 n n 407 n (n - 1) (n - 3) 4473 n (n - 1) (n - 3) - ------------------------- + -------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 13 n n 12 n n 63369 n (n - 1) (n - 3) 303555 n (n - 1) (n - 3) - --------------------------- + ---------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 11 n n 10 n n 250682 n (n - 1) (n - 3) 570596 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n n 8 n n 876200 n (n - 1) (n - 3) 863268 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 490032 n (n - 1) (n - 3) 120960 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 6 n 5 n 200703041 n (n - 4) 219724484 n (n - 4) 75256993 n (n - 4) + ---------------------- + --------------------- - -------------------- n 12 n 12 n 12 144 n (n - 4) 3 n (n - 4) n (n - 4) 8 n 9 n 4 n 181682347 n (n - 4) 899631271 n (n - 4) 44860620 n (n - 4) + --------------------- - --------------------- + -------------------- n 12 n 12 n 12 9 n (n - 4) 144 n (n - 4) n (n - 4) 15 n 16 n 14 n 497 n (n - 4) 7 n (n - 4) 15827 n (n - 4) - ---------------- + ---------------- + ------------------ n 12 n 12 n 12 144 n (n - 4) 144 n (n - 4) 144 n (n - 4) 12 n 11 n 13 n 414029 n (n - 4) 10781617 n (n - 4) 298837 n (n - 4) + ------------------- - --------------------- - ------------------- n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 144 n (n - 4) 7 n 3 n 19 n 417017447 n (n - 4) 11642400 n (n - 4) 17733 n (n - 6) - --------------------- - -------------------- - ------------------ n 12 n 12 n 16 9 n (n - 4) n (n - 4) 32 n (n - 6) 21 n 22 n 20 n 67 n (n - 6) n (n - 6) 2777 n (n - 6) - ---------------- + ---------------- + ----------------- n 16 n 16 n 16 288 n (n - 6) 576 n (n - 6) 192 n (n - 6) 10 n 6 n 10200408258499 n (n - 6) 3268686478110 n (n - 6) + --------------------------- + ------------------------- n 16 n 16 36 n (n - 6) n (n - 6) 5 n 18 n 2605857805800 n (n - 6) 1407167 n (n - 6) - ------------------------- + -------------------- n 16 n 16 n (n - 6) 96 n (n - 6) 16 n 17 n 1205105411 n (n - 6) 13640609 n (n - 6) + ----------------------- - --------------------- n 16 n 16 288 n (n - 6) 48 n (n - 6) 15 n 14 n 6889842557 n (n - 6) 82706226551 n (n - 6) - ----------------------- + ------------------------ n 16 n 16 144 n (n - 6) 192 n (n - 6) 13 n 12 n 98485242999 n (n - 6) 3361024485221 n (n - 6) - ------------------------ + -------------------------- n 16 n 16 32 n (n - 6) 192 n (n - 6) 11 n 8 n 7601560019027 n (n - 6) 20577441930233 n (n - 6) - -------------------------- + -------------------------- n 16 n 16 96 n (n - 6) 12 n (n - 6) 9 n 4 n 28585837173611 n (n - 6) 1253613564000 n (n - 6) - -------------------------- + ------------------------- n 16 n 16 36 n (n - 6) n (n - 6) 7 n 3 n 5567444260057 n (n - 6) 272432160000 n (n - 6) - ------------------------- - ------------------------ n 16 n 16 2 n (n - 6) n (n - 6) 32 n 6 31 n 6 30 n 6 5 n ((n - 1) ) 95 n ((n - 1) ) 3335 n ((n - 1) ) - ------------------- + ------------------- - -------------------- 26 n 6 26 n 6 26 n 6 576 (n - 1) (n ) 288 (n - 1) (n ) 576 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 560 n ((n - 1) ) 263455 n ((n - 1) ) 700675 n ((n - 1) ) + ------------------- - ---------------------- + ---------------------- 26 n 6 26 n 6 26 n 6 9 (n - 1) (n ) 576 (n - 1) (n ) 288 (n - 1) (n ) 26 n 6 25 n 6 5562425 n ((n - 1) ) 4184575 n ((n - 1) ) - ----------------------- + ----------------------- 26 n 6 26 n 6 576 (n - 1) (n ) 144 (n - 1) (n ) 24 n 6 23 n 6 9593075 n ((n - 1) ) 231575 n ((n - 1) ) - ----------------------- + ---------------------- 26 n 6 26 n 6 144 (n - 1) (n ) 2 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 600795 n ((n - 1) ) 141015 n ((n - 1) ) 90585 n ((n - 1) ) - ---------------------- + ---------------------- - --------------------- 26 n 6 26 n 6 26 n 6 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 19 n 6 22 n 2 n 35640 n ((n - 1) ) n ((n - 1) ) (n - 3) + --------------------- + -------------------------- 26 n 6 8 n 3 9 (n - 1) (n ) 16 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 3) 1035 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 19 n 2 n 20 n 2 n 6637 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - ----------------------------- + -------------------------- 8 n 3 9 9 n 3 7 8 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 35 n ((n - 1) ) (n - 2) 91 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 9 n 3 7 9 n 3 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 835 n ((n - 1) ) (n - 2) 3337 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 9 n 3 7 9 n 3 7 3 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 13715 n ((n - 1) ) (n - 2) 177334 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 9 n 3 7 9 n 3 7 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 355880 n ((n - 1) ) (n - 2) 162736 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 9 n 3 7 9 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 48360 n ((n - 1) ) (n - 2) 25152 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 5760 n ((n - 1) ) (n - 2) 27211 n (n - 1) (n - 4) - ---------------------------- + --------------------------- 9 n 3 7 4 n 2 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 4) 19 n n 17 n n 437 n (n - 1) (n - 4) 94918 n (n - 1) (n - 4) - -------------------------- - --------------------------- 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 15 n n 14 n n 27484633 n (n - 1) (n - 4) 149801113 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 12 4 n 2 12 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 16 n n 10 n n 1256409 n (n - 1) (n - 4) 616693798 n (n - 1) (n - 4) + ----------------------------- + ------------------------------- 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 21 n n 59875200 n (n - 1) (n - 4) n (n - 1) (n - 4) + ----------------------------- - --------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 20 n n 26 n 2 n 19 n (n - 1) (n - 4) n ((n - 1) ) (n - 4) + -------------------------- + --------------------------- 4 n 2 12 9 n 3 11 6 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 37 n ((n - 1) ) (n - 4) 1259 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 9 n 3 11 9 n 3 11 36 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 22 n 2 n 23 n 2 n 185899 n ((n - 1) ) (n - 4) 26161 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 9 n 3 11 9 n 3 11 18 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 12 n 11 n 10 n 9 n 7 n (n - 3) 133 n (n - 3) 721 n (n - 3) 3283 n (n - 3) + -------------- - ---------------- + ---------------- - ---------------- n 9 n 9 n 9 n 9 24 n (n - 3) 12 n (n - 3) 4 n (n - 3) 2 n (n - 3) 8 n 7 n 6 n 73549 n (n - 3) 130879 n (n - 3) 442211 n (n - 3) + ----------------- - ------------------ + ------------------ n 9 n 9 n 9 8 n (n - 3) 4 n (n - 3) 6 n (n - 3) 5 n 4 n 3 n 302603 n (n - 3) 75684 n (n - 3) 23520 n (n - 3) - ------------------ + ----------------- - ----------------- n 9 n 9 n 9 3 n (n - 3) n (n - 3) n (n - 3) 16 n n 15 n n 1201 n (n - 1) (n - 3) 452 n (n - 1) (n - 3) - --------------------------- + ------------------------- 4 n 2 10 4 n 2 10 36 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 15987 n (n - 1) (n - 3) 72823 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n n 11 n n 3734723 n (n - 1) (n - 3) 2826734 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 4 n 2 10 4 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 6011564 n (n - 1) (n - 3) 2916356 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 917716 n (n - 1) (n - 3) 503472 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 120960 n (n - 1) (n - 3) n (n - 1) (n - 3) - --------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 17 n n 25 n 4 n 13 n (n - 1) (n - 3) 176595 n ((n - 1) ) (n - 2) + -------------------------- - ------------------------------- 4 n 2 10 18 n 5 6 9 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 2) 27 n 4 n 17 n 4 n 10427 n ((n - 1) ) (n - 2) 445572 n ((n - 1) ) (n - 2) - ------------------------------ - ------------------------------- 18 n 5 6 18 n 5 6 96 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 158544 n ((n - 1) ) (n - 2) 1791611 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 18 n 5 6 18 n 5 6 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 4 n 15 n 4 n 764295 n ((n - 1) ) (n - 2) 25920 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 18 n 5 6 18 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 28 n 3 n 2281688 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) + -------------------------------- - ---------------------------- 18 n 5 6 14 n 4 8 3 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 53 n ((n - 1) ) (n - 3) 1297 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 14 n 4 8 14 n 4 8 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 19457 n ((n - 1) ) (n - 3) 200299 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 14 n 4 8 14 n 4 8 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 1500539 n ((n - 1) ) (n - 3) 8462771 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 14 n 4 8 14 n 4 8 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 21 n 3 n 13 n 3 n 36653347 n ((n - 1) ) (n - 3) 1473984 n ((n - 1) ) (n - 3) + --------------------------------- + -------------------------------- 14 n 4 8 14 n 4 8 144 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 20 n 3 n 241920 n ((n - 1) ) (n - 3) 7700279 n ((n - 1) ) (n - 3) - ------------------------------- - -------------------------------- 14 n 4 8 14 n 4 8 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 80611207 n ((n - 1) ) (n - 3) 40922822 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 14 n 4 8 14 n 4 8 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 63782125 n ((n - 1) ) (n - 3) 8308224 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 14 n 4 8 14 n 4 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 7078820 n ((n - 1) ) (n - 3) 4131120 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 14 n 4 8 14 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 29 n 4 n 7 n ((n - 1) ) (n - 2) 43 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 10 n 3 6 18 n 5 6 144 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 28 n 4 n 30 n 4 n 285 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- + --------------------------- 18 n 5 6 18 n 5 6 32 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 2414405 n ((n - 1) ) (n - 2) 8403425 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 18 n 5 6 18 n 5 6 96 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 3752495 n ((n - 1) ) (n - 2) 2901235 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 18 n 5 6 18 n 5 6 16 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 26 n 4 n 15 n n 87209 n ((n - 1) ) (n - 2) n (n - 1) (n - 2) + ------------------------------ - -------------------------- 18 n 5 6 5 n 2 7 96 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 6 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 12 n n 11 n n 80 n (n - 1) (n - 2) 1477 n (n - 1) (n - 2) + ------------------------ - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 10 n n 9 n n 2205 n (n - 1) (n - 2) 19115 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 2 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 7610 n (n - 1) (n - 2) 1696 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 6 n n 480 n (n - 1) (n - 2) 5443200 n (n - 1) (n - 4) + ------------------------ - ---------------------------- 5 n 2 7 4 n 2 11 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 17 n n 16 n n 33445 n (n - 1) (n - 4) 130483 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n n 14 n n 1077505 n (n - 1) (n - 4) 19411601 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 12 n n 86074615 n (n - 1) (n - 4) 141539057 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 85850710 n (n - 1) (n - 4) 50390708 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 4 n 2 11 4 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 62396010 n (n - 1) (n - 4) 51296364 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 18 n n 25014960 n (n - 1) (n - 4) 1907 n (n - 1) (n - 4) + ----------------------------- - --------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 1937682 n ((n - 1) ) (n - 3) 886248 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n 2 n 181440 n ((n - 1) ) (n - 3) 2900717 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 4558677 n ((n - 1) ) (n - 3) 1308318 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 2166961 n ((n - 1) ) (n - 3) 2515893 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 583 n ((n - 1) ) (n - 2) 2809 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 35887 n ((n - 1) ) (n - 2) 20014 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 170531 n ((n - 1) ) (n - 2) 589669 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 12 n 4 7 12 n 4 7 8 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 81078 n ((n - 1) ) (n - 2) 93318 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 71046 n ((n - 1) ) (n - 2) 32076 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 18 n 2 n 6480 n ((n - 1) ) (n - 2) 112983 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 12 n 4 7 8 n 3 9 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 3) 17 n 2 n 22 n 4 21 n 4 168519 n ((n - 1) ) (n - 3) n ((n - 1) ) 7 n ((n - 1) ) - ------------------------------- - ------------------ + ----------------- 8 n 3 9 18 n 4 18 n 4 4 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) 9 (n - 1) (n ) 20 n 4 19 n 4 18 n 4 175 n ((n - 1) ) 643 n ((n - 1) ) 12305 n ((n - 1) ) - ------------------- + ------------------- - --------------------- 18 n 4 18 n 4 18 n 4 18 (n - 1) (n ) 9 (n - 1) (n ) 36 (n - 1) (n ) 17 n 4 16 n 4 15 n 4 10012 n ((n - 1) ) 22450 n ((n - 1) ) 11416 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 18 n 4 18 n 4 18 n 4 9 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 14 n 4 13 n 4 10 n 3780 n ((n - 1) ) 2208 n ((n - 1) ) 240488963 n (n - 5) - -------------------- + -------------------- + ---------------------- 18 n 4 18 n 4 n 13 (n - 1) (n ) (n - 1) (n ) 6 n (n - 5) 6 n 5 n 18 n 1020978054 n (n - 5) 930374568 n (n - 5) n (n - 5) + ---------------------- - --------------------- + --------------- n 13 n 13 n 13 n (n - 5) n (n - 5) 96 n (n - 5) 16 n 17 n 15 n 3445 n (n - 5) 29 n (n - 5) 27425 n (n - 5) + ----------------- - --------------- - ------------------ n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 32 n (n - 5) 14 n 13 n 12 n 1323907 n (n - 5) 5062343 n (n - 5) 128154455 n (n - 5) + -------------------- - -------------------- + ---------------------- n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 96 n (n - 5) 11 n 8 n 9 n 269687275 n (n - 5) 1146586090 n (n - 5) 143400686 n (n - 5) - ---------------------- + ---------------------- - --------------------- n 13 n 13 n 13 32 n (n - 5) 3 n (n - 5) n (n - 5) 4 n 7 n 3 n 501340320 n (n - 5) 1487663125 n (n - 5) 119750400 n (n - 5) + --------------------- - ---------------------- - --------------------- n 13 n 13 n 13 n (n - 5) 2 n (n - 5) n (n - 5) 17 n 5 16 n 5 26 n 5 5715 n ((n - 1) ) 1431 n ((n - 1) ) n ((n - 1) ) - -------------------- + -------------------- + ------------------ 21 n 5 21 n 5 21 n 5 2 (n - 1) (n ) (n - 1) (n ) 96 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 29 n ((n - 1) ) 95 n ((n - 1) ) 495 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 21 n 5 21 n 5 21 n 5 96 (n - 1) (n ) 24 (n - 1) (n ) 16 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 15385 n ((n - 1) ) 55465 n ((n - 1) ) 71005 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 21 n 5 21 n 5 21 n 5 96 (n - 1) (n ) 96 (n - 1) (n ) 48 (n - 1) (n ) 19 n 5 18 n 5 2690 n ((n - 1) ) 3405 n ((n - 1) ) - -------------------- + -------------------- 21 n 5 21 n 5 (n - 1) (n ) (n - 1) (n ) 19 n 2 n 18 n 2 n 77 n ((n - 1) ) (n - 2) 427 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 6 10 n 3 6 48 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 1659 n ((n - 1) ) (n - 2) 57113 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 6 10 n 3 6 8 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 75215 n ((n - 1) ) (n - 2) 938623 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 6 10 n 3 6 16 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 304129 n ((n - 1) ) (n - 2) 608363 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 10 n 3 6 10 n 3 6 12 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 29386 n ((n - 1) ) (n - 2) 14952 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 10 n 3 6 10 n 3 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 3360 n ((n - 1) ) (n - 2) 7 n (n - 1) (n - 3) - ---------------------------- - -------------------------- 10 n 3 6 5 n 2 9 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 3) 17 n n 16 n n 329 n (n - 1) (n - 3) 3451 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 9 5 n 2 9 72 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n 42707 n (n - 1) (n - 3) 77119 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 13 n n 12 n n 1299739 n (n - 1) (n - 3) 3879659 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 24 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 11 n n 10 n n 5506634 n (n - 1) (n - 3) 11055044 n (n - 1) (n - 3) + ----------------------------- - ------------------------------ 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 15288238 n (n - 1) (n - 3) 4600288 n (n - 1) (n - 3) + ----------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 809312 n (n - 1) (n - 3) 188160 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 6 6480 n ((n - 1) ) - -------------------- 26 n 6 (n - 1) (n ) and in Maple notation 40781/4*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-898565/24*n^19*((n-1) ^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+610621/6*n^18*((n-1)^n)^3/(n-1)^14/(n^n) ^4*(n-2)^n/(n-2)^6-1/24*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+19/12 *n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-659/24*n^23*((n-1)^n)^3/(n-1 )^14/(n^n)^4*(n-2)^n/(n-2)^6+863/3*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n -2)^6-16245/8*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+218088*n^14*((n -1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-91296*n^13*((n-1)^n)^3/(n-1)^14/(n^n) ^4*(n-2)^n/(n-2)^6+901132/3*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-\ 312574*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6+17280*n^12*((n-1)^n)^3 /(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^6-613895/3*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n -2)^n/(n-2)^6+1/48*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-n^22*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+1051/48*n^21*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-3)^n/(n-3)^8-2319/8*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+ 124423/48*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-66245/4*n^18*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+3741533/48*n^17*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-3)^n/(n-3)^8-2196007/8*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^ 8+2179691/3*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-1437777*n^14*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+6278021/3*n^13*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-3)^n/(n-3)^8-2170678*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8 +1515240*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8-636192*n^10*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^8+120960*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -3)^n/(n-3)^8-1/24*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+5/3*n^24*( (n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-727/24*n^23*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-2)^n/(n-2)^7+1325/4*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-\ 19453/8*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+25305/2*n^20*((n-1)^n )^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-1152041/24*n^19*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-2)^n/(n-2)^7-444318*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+ 316260*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-832903/3*n^17*((n-1)^n )^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+1612855/12*n^18*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-2)^n/(n-2)^7-134784*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+ 417630*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+25920*n^12*((n-1)^n)^3 /(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+1/12*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n /(n-3)^9-13/3*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+409/4*n^21*((n-1 )^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-8707/6*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-3)^n/(n-3)^9+166079/12*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-\ 93834*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+5597021/12*n^17*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-10360111/6*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3 *(n-3)^n/(n-3)^9+4783542*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-\ 29600932/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+44734948/3*n^13*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-16001672*n^12*((n-1)^n)^2/(n-1)^9/(n^n )^3*(n-3)^n/(n-3)^9+11515968*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-\ 4968576*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+967680*n^9*((n-1)^n)^2 /(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+23/8*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^11-2167/24*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-1/24*n^21*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^11-525229/24*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/( n-4)^11+1599437/8*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/24*n^ 15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673/8*n^14*(n-1)^n/(n-1)^5/(n^ n)^2*(n-4)^n/(n-4)^11-313688287/12*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 11+75796589*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-494574964/3*n^11*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+263958842*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 4)^n/(n-4)^11-300880404*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+230200416* n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-105503040*n^7*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^11+13691/8*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+ 21772800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-19/16*n^22*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-3)^n/(n-3)^10+489/16*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/ (n-3)^10-22589/48*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+1/48*n^23*( (n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+77483/16*n^19*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^10-563641/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^10+8967401/48*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-11741269/16*n ^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+17164879/8*n^15*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-3)^n/(n-3)^10-13941823/3*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3 )^n/(n-3)^10+7339514*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-8193573* n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+6108462*n^11*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^10-2719224*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^10+544320*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-409966293/8*n^ 13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-737652474*n^9*(n-1)^n/(n-1)^4/(n^n) ^2*(n-4)^n/(n-4)^12+589274964*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-\ 1095529934/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1900332467/12*n^12*( n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-280607760*n^7*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^12+2592*n^15*((n-1)^n)^5/(n-1)^22/(n^n)^5-576*n^12*((n-1)^n)^4/(n-\ 1)^18/(n^n)^4-324*n^15*((n-1)^n)^5/(n-1)^21/(n^n)^5-1/6*n^14*(n-1)^n/(n-1)^4/(n ^n)^2*(n-2)^n/(n-2)^7+13/3*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-143/3*n ^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+868/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2* (n-2)^n/(n-2)^7-6349/6*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+7147/3*n^9* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-3214*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^ n/(n-2)^7+2364*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-720*n^6*(n-1)^n/(n-1 )^4/(n^n)^2*(n-2)^n/(n-2)^7-1/288*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13 +1/3*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-709/48*n^22*(n-1)^n/(n-1)^5/ (n^n)^2*(n-5)^n/(n-5)^13+17747927041/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-\ 5)^13+17775008448*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-12147197184*n^8* (n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+19261/48*n^21*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^13+4887337/48*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-29945 /4*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-150616949/144*n^18*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-5)^n/(n-5)^13-15/2/(n^n)*n^14*(n-4)^n/(n-4)^11+1601/8/(n^n)*n^ 13*(n-4)^n/(n-4)^11-3135/(n^n)*n^12*(n-4)^n/(n-4)^11+256443/8/(n^n)*n^11*(n-4)^ n/(n-4)^11-449955/2/(n^n)*n^10*(n-4)^n/(n-4)^11+8873843/8/(n^n)*n^9*(n-4)^n/(n-\ 4)^11-3863310/(n^n)*n^8*(n-4)^n/(n-4)^11+9412832/(n^n)*n^7*(n-4)^n/(n-4)^11-\ 15606690/(n^n)*n^6*(n-4)^n/(n-4)^11+16661682/(n^n)*n^5*(n-4)^n/(n-4)^11-\ 10239480/(n^n)*n^4*(n-4)^n/(n-4)^11+1/8/(n^n)*n^15*(n-4)^n/(n-4)^11+2721600/(n^ n)*n^3*(n-4)^n/(n-4)^11+1/48/(n^n)*n^19*(n-5)^n/(n-5)^14-25/12/(n^n)*n^18*(n-5) ^n/(n-5)^14+286/3/(n^n)*n^17*(n-5)^n/(n-5)^14-31765/12/(n^n)*n^16*(n-5)^n/(n-5) ^14+1196741/24/(n^n)*n^15*(n-5)^n/(n-5)^14-8099455/12/(n^n)*n^14*(n-5)^n/(n-5)^ 14+40698229/6/(n^n)*n^13*(n-5)^n/(n-5)^14-618767435/12/(n^n)*n^12*(n-5)^n/(n-5) ^14+14365627133/48/(n^n)*n^11*(n-5)^n/(n-5)^14-3986760635/3/(n^n)*n^10*(n-5)^n/ (n-5)^14-28406178540/(n^n)*n^6*(n-5)^n/(n-5)^14+25192419408/(n^n)*n^5*(n-5)^n/( n-5)^14-34274227715/3/(n^n)*n^8*(n-5)^n/(n-5)^14+13478425688/3/(n^n)*n^9*(n-5)^ n/(n-5)^14-13274349120/(n^n)*n^4*(n-5)^n/(n-5)^14+21381576733/(n^n)*n^7*(n-5)^n /(n-5)^14+3113510400/(n^n)*n^3*(n-5)^n/(n-5)^14+48*n^9*((n-1)^n)^3/(n-1)^14/(n^ n)^3+398181407/48*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-4941961453/96*n ^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+12084698483/48*n^15*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^13-3889581111/4*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^13+12877162133*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-126564948163/ 18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+5048559360*n^7*(n-1)^n/(n-1)^5 /(n^n)^2*(n-5)^n/(n-5)^13-17757366112*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5 )^13-958003200*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+1/576*n^30*((n-1)^n )^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-1/12*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-\ 2)^n/(n-2)^8+11/6*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-3533/144*n^ 27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+7151/32*n^26*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-2)^n/(n-2)^8-70465/48*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/( n-2)^8+1035065/144*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-1282525/48 *n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+14599315/192*n^22*((n-1)^n)^ 4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-23857465/144*n^21*((n-1)^n)^4/(n-1)^16/(n^n) ^5*(n-2)^n/(n-2)^8+13157803/48*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^ 8-1352657/4*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+1203939/4*n^18*(( n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-182367*n^17*((n-1)^n)^4/(n-1)^16/(n^ n)^5*(n-2)^n/(n-2)^8+67203*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-\ 11340*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-88549/36*n^24*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+166039/8*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-3)^n/(n-3)^10-1/144*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+31/ 72*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-293/24*n^26*((n-1)^n)^3/( n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+15133/72*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 3)^n/(n-3)^10-9408355/72*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+ 45103175/72*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-110970905/48*n^ 20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+237339595/36*n^19*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-521394539/36*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^ 4*(n-3)^n/(n-3)^10+24258263*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-\ 30371137*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+27474324*n^15*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-16930404*n^14*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-3)^n/(n-3)^10+6345648*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^ 10-1088640*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-27/32*n^25*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+94/3*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -4)^n/(n-4)^12-16997/24*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1/96* n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1464456559/4*n^16*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1913224356*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^12-1249640946*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+ 1503045333*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-20356459529/24*n^ 15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+495755640*n^10*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-4)^n/(n-4)^12-5830853/48*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^ n/(n-4)^12+174531/16*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+3038050/ 3*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+3057725605/96*n^18*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-11747772685/96*n^17*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-4)^n/(n-4)^12-12909985/2*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4 )^12-3988850061/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-89812800*n^ 9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-847/24*n^22*(n-1)^n/(n-1)^4/(n^n )^2*(n-5)^n/(n-5)^14+12545/12*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-\ 169791/8*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+7521265/24*n^19*(n-1)^n/ (n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-31370989/9*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^ n/(n-5)^14+358115485/12*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-\ 9564830275/48*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+50155574755/48*n^15 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-34488301367/8*n^14*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^14+41862306655/3*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5) ^14+103224505800*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-73546590816*n^8*( n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+67954172545*n^11*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-5)^n/(n-5)^14-316386422902/9*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14 +31737882240*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-98504257502*n^10*(n-1 )^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-6227020800*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 5)^n/(n-5)^14+65/24*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1/24*n^20*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1451520*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-3)^n/(n-3)^9-1/48*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+19/16*n ^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1493/48*n^26*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-3)^n/(n-3)^9+23861/48*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/ (n-3)^9-86837/16*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+2060887/48*n ^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-12223535/48*n^22*((n-1)^n)^3/( n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+29742295/36*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -4)^n/(n-4)^11-177109595/36*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+ 1640031635/72*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-742290890/9*n^ 17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+4204112459/18*n^16*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-4629089948/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-4)^n/(n-4)^11+869941514*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-\ 1106118496*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+1020595848*n^12*(( n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-643496832*n^11*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-4)^n/(n-4)^11+247294080*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4 )^11-3835447/36*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-43545600*n^9* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+1/72*n^17*((n-1)^n)^3/(n-1)^14/(n^ n)^3-23/72*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^3+229/72*n^15*((n-1)^n)^3/(n-1)^14/( n^n)^3-1289/72*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^3+2243/36*n^13*((n-1)^n)^3/(n-1) ^14/(n^n)^3-2471/18*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^3+187*n^11*((n-1)^n)^3/(n-1 )^14/(n^n)^3-144*n^10*((n-1)^n)^3/(n-1)^14/(n^n)^3+1/72/(n^n)*n^13*(n-3)^n/(n-3 )^10-47/72/(n^n)*n^12*(n-3)^n/(n-3)^10+40/3/(n^n)*n^11*(n-3)^n/(n-3)^10-1865/12 /(n^n)*n^10*(n-3)^n/(n-3)^10+27391/24/(n^n)*n^9*(n-3)^n/(n-3)^10-131957/24/(n^n )*n^8*(n-3)^n/(n-3)^10+631165/36/(n^n)*n^7*(n-3)^n/(n-3)^10-655015/18/(n^n)*n^6 *(n-3)^n/(n-3)^10+46833/(n^n)*n^5*(n-3)^n/(n-3)^10-33556/(n^n)*n^4*(n-3)^n/(n-3 )^10+10080/(n^n)*n^3*(n-3)^n/(n-3)^10+1/12*(n-2)^n/(n-2)^7/(n^n)*n^9-7/4*(n-2)^ n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/(n^n)*n^7-245/4*(n-2)^n/(n-2)^7/(n^n )*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*(n-2)^n/(n-2)^7/(n^n)*n^4+60*(n-2)^n/ (n-2)^7/(n^n)*n^3+1/48*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^5-11/16*n^26*((n-1)^n)^5 /(n-1)^22/(n^n)^5+31/3*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^5-2245/24*n^24*((n-1)^n) ^5/(n-1)^22/(n^n)^5+27265/48*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^5-117005/48*n^22*( (n-1)^n)^5/(n-1)^22/(n^n)^5+60645/8*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^5-103285/6* n^20*((n-1)^n)^5/(n-1)^22/(n^n)^5+28330*n^19*((n-1)^n)^5/(n-1)^22/(n^n)^5-32955 *n^18*((n-1)^n)^5/(n-1)^22/(n^n)^5+25722*n^17*((n-1)^n)^5/(n-1)^22/(n^n)^5-\ 12096*n^16*((n-1)^n)^5/(n-1)^22/(n^n)^5+2475335/6*n^22*((n-1)^n)^4/(n-1)^17/(n^ n)^5*(n-2)^n/(n-2)^7+1460664*n^18*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-\ 865800*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+1/72*n^30*((n-1)^n)^4/ (n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+311/24*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2) ^n/(n-2)^7-5/8*n^29*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-11825/72*n^27* ((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+34157/24*n^26*((n-1)^n)^4/(n-1)^17 /(n^n)^5*(n-2)^n/(n-2)^7-214385/24*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n -2)^7+3020495/72*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-1200875/8*n^ 23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+4198274/3*n^20*((n-1)^n)^4/(n-1 )^17/(n^n)^5*(n-2)^n/(n-2)^7-15673375/18*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2 )^n/(n-2)^7+312768*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-1681210*n^ 19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-51840*n^15*((n-1)^n)^4/(n-1)^17 /(n^n)^5*(n-2)^n/(n-2)^7+18487125/16*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/ (n-3)^9-48646435/12*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+132434395 /12*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-23236947*n^18*((n-1)^n)^3 /(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+112321337/3*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-3)^n/(n-3)^9-45248556*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+ 39639612*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-23726592*n^14*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+8662464*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-3)^n/(n-3)^9+1/576*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-17/ 144*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+1067/288*n^24*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-20527/288*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-4)^n/(n-4)^10+67793/72*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-\ 2610919/288*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+18974893/288*n^ 20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-106329845/288*n^19*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+930311495/576*n^18*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-4)^n/(n-4)^10-1597669355/288*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/( n-4)^10+538523201/36*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-\ 1133425423/36*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+204295831/4*n^ 14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-124991983/2*n^13*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+55673814*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 4)^n/(n-4)^10-33996888*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10+ 12691296*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-2177280*n^9*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^10-1/144*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^14+35/48*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+1/8*n^19*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-31/8*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 2)^n/(n-2)^7+211/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1661/4*n^16 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+16745/8*n^15*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-2)^n/(n-2)^7-56455/8*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7 +16106*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-24546*n^12*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+23868*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/ (n-2)^7-13338*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+3240*n^9*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/( n-3)^9+43/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-407/2*n^15*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-3)^n/(n-3)^9+4473/2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^ 9-63369/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+303555/4*n^12*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^9-250682*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3) ^9+570596*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-876200*n^9*(n-1)^n/(n-1) ^4/(n^n)^2*(n-3)^n/(n-3)^9+863268*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-\ 490032*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+120960*n^6*(n-1)^n/(n-1)^4/( n^n)^2*(n-3)^n/(n-3)^9+200703041/144/(n^n)*n^10*(n-4)^n/(n-4)^12+219724484/3/(n ^n)*n^6*(n-4)^n/(n-4)^12-75256993/(n^n)*n^5*(n-4)^n/(n-4)^12+181682347/9/(n^n)* n^8*(n-4)^n/(n-4)^12-899631271/144/(n^n)*n^9*(n-4)^n/(n-4)^12+44860620/(n^n)*n^ 4*(n-4)^n/(n-4)^12-497/144/(n^n)*n^15*(n-4)^n/(n-4)^12+7/144/(n^n)*n^16*(n-4)^n /(n-4)^12+15827/144/(n^n)*n^14*(n-4)^n/(n-4)^12+414029/16/(n^n)*n^12*(n-4)^n/(n -4)^12-10781617/48/(n^n)*n^11*(n-4)^n/(n-4)^12-298837/144/(n^n)*n^13*(n-4)^n/(n -4)^12-417017447/9/(n^n)*n^7*(n-4)^n/(n-4)^12-11642400/(n^n)*n^3*(n-4)^n/(n-4)^ 12-17733/32/(n^n)*n^19*(n-6)^n/(n-6)^16-67/288/(n^n)*n^21*(n-6)^n/(n-6)^16+1/ 576/(n^n)*n^22*(n-6)^n/(n-6)^16+2777/192/(n^n)*n^20*(n-6)^n/(n-6)^16+ 10200408258499/36/(n^n)*n^10*(n-6)^n/(n-6)^16+3268686478110/(n^n)*n^6*(n-6)^n/( n-6)^16-2605857805800/(n^n)*n^5*(n-6)^n/(n-6)^16+1407167/96/(n^n)*n^18*(n-6)^n/ (n-6)^16+1205105411/288/(n^n)*n^16*(n-6)^n/(n-6)^16-13640609/48/(n^n)*n^17*(n-6 )^n/(n-6)^16-6889842557/144/(n^n)*n^15*(n-6)^n/(n-6)^16+82706226551/192/(n^n)*n ^14*(n-6)^n/(n-6)^16-98485242999/32/(n^n)*n^13*(n-6)^n/(n-6)^16+3361024485221/ 192/(n^n)*n^12*(n-6)^n/(n-6)^16-7601560019027/96/(n^n)*n^11*(n-6)^n/(n-6)^16+ 20577441930233/12/(n^n)*n^8*(n-6)^n/(n-6)^16-28585837173611/36/(n^n)*n^9*(n-6)^ n/(n-6)^16+1253613564000/(n^n)*n^4*(n-6)^n/(n-6)^16-5567444260057/2/(n^n)*n^7*( n-6)^n/(n-6)^16-272432160000/(n^n)*n^3*(n-6)^n/(n-6)^16-5/576*n^32*((n-1)^n)^6/ (n-1)^26/(n^n)^6+95/288*n^31*((n-1)^n)^6/(n-1)^26/(n^n)^6-3335/576*n^30*((n-1)^ n)^6/(n-1)^26/(n^n)^6+560/9*n^29*((n-1)^n)^6/(n-1)^26/(n^n)^6-263455/576*n^28*( (n-1)^n)^6/(n-1)^26/(n^n)^6+700675/288*n^27*((n-1)^n)^6/(n-1)^26/(n^n)^6-\ 5562425/576*n^26*((n-1)^n)^6/(n-1)^26/(n^n)^6+4184575/144*n^25*((n-1)^n)^6/(n-1 )^26/(n^n)^6-9593075/144*n^24*((n-1)^n)^6/(n-1)^26/(n^n)^6+231575/2*n^23*((n-1) ^n)^6/(n-1)^26/(n^n)^6-600795/4*n^22*((n-1)^n)^6/(n-1)^26/(n^n)^6+141015*n^21*( (n-1)^n)^6/(n-1)^26/(n^n)^6-90585*n^20*((n-1)^n)^6/(n-1)^26/(n^n)^6+35640*n^19* ((n-1)^n)^6/(n-1)^26/(n^n)^6+1/16*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^9-3*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1035/16*n^20*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-6637/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^ n/(n-3)^9+1/18*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-35/18*n^19*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+91/3*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*( n-2)^n/(n-2)^7-835/3*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+3337/2*n^ 16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-13715/2*n^15*((n-1)^n)^2/(n-1)^9 /(n^n)^3*(n-2)^n/(n-2)^7+177334/9*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2 )^7-355880/9*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+162736/3*n^12*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-48360*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3 *(n-2)^n/(n-2)^7+25152*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-5760*n^ 9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+27211/12*n^18*(n-1)^n/(n-1)^4/(n^ n)^2*(n-4)^n/(n-4)^12-437/4*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-94918 /3*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-27484633/12*n^15*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^12+149801113/12*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^12+1256409/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+616693798*n^10* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+59875200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^12-1/24*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+19/6*n^20*(n -1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1/72*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -4)^n/(n-4)^11-37/36*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+1259/36* n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+185899/18*n^22*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-4)^n/(n-4)^11-26161/36*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^ n/(n-4)^11+7/24/(n^n)*n^12*(n-3)^n/(n-3)^9-133/12/(n^n)*n^11*(n-3)^n/(n-3)^9+ 721/4/(n^n)*n^10*(n-3)^n/(n-3)^9-3283/2/(n^n)*n^9*(n-3)^n/(n-3)^9+73549/8/(n^n) *n^8*(n-3)^n/(n-3)^9-130879/4/(n^n)*n^7*(n-3)^n/(n-3)^9+442211/6/(n^n)*n^6*(n-3 )^n/(n-3)^9-302603/3/(n^n)*n^5*(n-3)^n/(n-3)^9+75684/(n^n)*n^4*(n-3)^n/(n-3)^9-\ 23520/(n^n)*n^3*(n-3)^n/(n-3)^9-1201/36*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n -3)^10+452*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-15987/4*n^14*(n-1)^n/( n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+72823/3*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n -3)^10-3734723/36*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+2826734/9*n^11* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-6011564/9*n^10*(n-1)^n/(n-1)^4/(n^n)^2 *(n-3)^n/(n-3)^10+2916356/3*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-917716 *n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+503472*n^7*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^10-120960*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-1/36*n^ 18*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+13/9*n^17*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^10-176595/32*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-\ 10427/96*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-445572*n^17*((n-1)^n )^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+158544*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*( n-2)^n/(n-2)^6-1791611/2*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+ 764295*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-25920*n^15*((n-1)^n)^4 /(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+2281688/3*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*( n-2)^n/(n-2)^6-1/144*n^28*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8+53/144*n ^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8-1297/144*n^26*((n-1)^n)^3/(n-1 )^14/(n^n)^4*(n-3)^n/(n-3)^8+19457/144*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^ n/(n-3)^8-200299/144*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8+1500539/ 144*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8-8462771/144*n^22*((n-1)^n )^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8+36653347/144*n^21*((n-1)^n)^3/(n-1)^14/(n^ n)^4*(n-3)^n/(n-3)^8+1473984*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8-\ 241920*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8-7700279/9*n^20*((n-1)^ n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8+80611207/36*n^19*((n-1)^n)^3/(n-1)^14/(n^ n)^4*(n-3)^n/(n-3)^8-40922822/9*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3) ^8+63782125/9*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8-8308224*n^16*(( n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8+7078820*n^15*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-3)^n/(n-3)^8-4131120*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^8 +7/144*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-43/96*n^29*((n-1)^n)^4 /(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+285/32*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2 )^n/(n-2)^6+1/96*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+2414405/96*n ^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-8403425/96*n^23*((n-1)^n)^4/(n -1)^18/(n^n)^5*(n-2)^n/(n-2)^6+3752495/16*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-\ 2)^n/(n-2)^6-2901235/6*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6+87209/ 96*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^6-1/36*n^15*(n-1)^n/(n-1)^5/ (n^n)^2*(n-2)^n/(n-2)^7+5/6*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/6*n ^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+80*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 2)^n/(n-2)^7-1477/4*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+2205/2*n^10*(n -1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-19115/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2) ^n/(n-2)^7+7610/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-1696*n^7*(n-1)^n/ (n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+480*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7 -5443200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+33445/24*n^17*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-4)^n/(n-4)^11-130483/8*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-\ 4)^11+1077505/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-19411601/24*n^14* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+86074615/24*n^13*(n-1)^n/(n-1)^4/(n^n) ^2*(n-4)^n/(n-4)^11-141539057/12*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+ 85850710/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-50390708*n^10*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+62396010*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^11-51296364*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+25014960*n^7*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1907/24*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^11-1937682*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+886248*n^ 10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-181440*n^9*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-3)^n/(n-3)^9+2900717/16*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3 )^9-4558677/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1308318*n^14*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-2166961*n^13*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-3)^n/(n-3)^9+2515893*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-1/ 24*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+3/2*n^23*((n-1)^n)^3/(n-1) ^12/(n^n)^4*(n-2)^n/(n-2)^7-583/24*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n -2)^7+2809/12*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-35887/24*n^20*( (n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+20014/3*n^19*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-2)^n/(n-2)^7-170531/8*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2) ^7+589669/12*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-81078*n^16*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+93318*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^7-71046*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+32076* n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-6480*n^12*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^7+112983/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/( n-3)^9-168519/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-1/36*n^22*((n-\ 1)^n)^4/(n-1)^18/(n^n)^4+7/9*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^4-175/18*n^20*((n-\ 1)^n)^4/(n-1)^18/(n^n)^4+643/9*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^4-12305/36*n^18* ((n-1)^n)^4/(n-1)^18/(n^n)^4+10012/9*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^4-22450/9* n^16*((n-1)^n)^4/(n-1)^18/(n^n)^4+11416/3*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^4-\ 3780*n^14*((n-1)^n)^4/(n-1)^18/(n^n)^4+2208*n^13*((n-1)^n)^4/(n-1)^18/(n^n)^4+ 240488963/6/(n^n)*n^10*(n-5)^n/(n-5)^13+1020978054/(n^n)*n^6*(n-5)^n/(n-5)^13-\ 930374568/(n^n)*n^5*(n-5)^n/(n-5)^13+1/96/(n^n)*n^18*(n-5)^n/(n-5)^13+3445/96/( n^n)*n^16*(n-5)^n/(n-5)^13-29/32/(n^n)*n^17*(n-5)^n/(n-5)^13-27425/32/(n^n)*n^ 15*(n-5)^n/(n-5)^13+1323907/96/(n^n)*n^14*(n-5)^n/(n-5)^13-5062343/32/(n^n)*n^ 13*(n-5)^n/(n-5)^13+128154455/96/(n^n)*n^12*(n-5)^n/(n-5)^13-269687275/32/(n^n) *n^11*(n-5)^n/(n-5)^13+1146586090/3/(n^n)*n^8*(n-5)^n/(n-5)^13-143400686/(n^n)* n^9*(n-5)^n/(n-5)^13+501340320/(n^n)*n^4*(n-5)^n/(n-5)^13-1487663125/2/(n^n)*n^ 7*(n-5)^n/(n-5)^13-119750400/(n^n)*n^3*(n-5)^n/(n-5)^13-5715/2*n^17*((n-1)^n)^5 /(n-1)^21/(n^n)^5+1431*n^16*((n-1)^n)^5/(n-1)^21/(n^n)^5+1/96*n^26*((n-1)^n)^5/ (n-1)^21/(n^n)^5-29/96*n^25*((n-1)^n)^5/(n-1)^21/(n^n)^5+95/24*n^24*((n-1)^n)^5 /(n-1)^21/(n^n)^5-495/16*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^5+15385/96*n^22*((n-1) ^n)^5/(n-1)^21/(n^n)^5-55465/96*n^21*((n-1)^n)^5/(n-1)^21/(n^n)^5+71005/48*n^20 *((n-1)^n)^5/(n-1)^21/(n^n)^5-2690*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^5+3405*n^18* ((n-1)^n)^5/(n-1)^21/(n^n)^5-77/48*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n -2)^6+427/18*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-1659/8*n^17*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+57113/48*n^16*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-2)^n/(n-2)^6-75215/16*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6 +938623/72*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-304129/12*n^13*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+608363/18*n^12*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-2)^n/(n-2)^6-29386*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6+ 14952*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^6-3360*n^9*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-2)^n/(n-2)^6-7/72*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 9+329/72*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-3451/36*n^16*(n-1)^n/(n-1 )^5/(n^n)^2*(n-3)^n/(n-3)^9+42707/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3) ^9-77119/8*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+1299739/24*n^13*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-3879659/18*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^ n/(n-3)^9+5506634/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-11055044/9*n^ 10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+15288238/9*n^9*(n-1)^n/(n-1)^5/(n^n) ^2*(n-3)^n/(n-3)^9-4600288/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+809312 *n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-188160*n^6*(n-1)^n/(n-1)^5/(n^n)^2 *(n-3)^n/(n-3)^9-6480*n^18*((n-1)^n)^6/(n-1)^26/(n^n)^6 The, 4, 3, mixed moment of, X[3], and , X[4], is 25 n 3 n 24 n 3 n n ((n - 1) ) (n - 2) 5 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 13 n 4 7 13 n 4 7 16 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 727 n ((n - 1) ) (n - 2) 3975 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 13 n 4 7 13 n 4 7 16 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 58359 n ((n - 1) ) (n - 2) 75915 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 13 n 4 7 13 n 4 7 16 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 1152041 n ((n - 1) ) (n - 2) 666477 n ((n - 1) ) (n - 2) - -------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 16 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 474390 n ((n - 1) ) (n - 2) 832903 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 1612855 n ((n - 1) ) (n - 2) 202176 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 13 n 4 7 13 n 4 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 626445 n ((n - 1) ) (n - 2) 38880 n ((n - 1) ) (n - 2) + ------------------------------- + ------------------------------ 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 2 n 22 n 2 n n ((n - 1) ) (n - 3) 13 n ((n - 1) ) (n - 3) + ------------------------- - --------------------------- 9 n 3 9 9 n 3 9 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 1227 n ((n - 1) ) (n - 3) 8707 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 9 n 3 9 9 n 3 9 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 166079 n ((n - 1) ) (n - 3) 140751 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 9 n 3 9 9 n 3 9 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 5597021 n ((n - 1) ) (n - 3) 10360111 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 9 n 3 9 9 n 3 9 8 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 7175313 n ((n - 1) ) (n - 3) 14800466 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 22367474 n ((n - 1) ) (n - 3) 24002508 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 17273952 n ((n - 1) ) (n - 3) 7452864 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 20 n n 1451520 n ((n - 1) ) (n - 3) 69 n (n - 1) (n - 4) + ------------------------------- + --------------------------- 9 n 3 9 5 n 2 11 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 4) 19 n n 21 n n 2167 n (n - 1) (n - 4) n (n - 1) (n - 4) - --------------------------- - --------------------------- 5 n 2 11 5 n 2 11 16 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 17 n n 16 n n 525229 n (n - 1) (n - 4) 4798311 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 16 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 15 n n 14 n n 32341661 n (n - 1) (n - 4) 163721019 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 5 n 2 11 5 n 2 11 16 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 13 n n 12 n n 313688287 n (n - 1) (n - 4) 227389767 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 11 n n 10 n n 247287482 n (n - 1) (n - 4) 395938263 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 451320606 n (n - 1) (n - 4) 345300624 n (n - 1) (n - 4) - ------------------------------ + ------------------------------ 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 18 n n 158254560 n (n - 1) (n - 4) 41073 n (n - 1) (n - 4) - ------------------------------ + --------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 6 n n 22 n 2 n 32659200 n (n - 1) (n - 4) 57 n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------- 5 n 2 11 8 n 3 10 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 1467 n ((n - 1) ) (n - 3) 22589 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n n ((n - 1) ) (n - 3) 232449 n ((n - 1) ) (n - 3) + --------------------------- + ------------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 1690923 n ((n - 1) ) (n - 3) 8967401 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 35223807 n ((n - 1) ) (n - 3) 51494637 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 13941823 n ((n - 1) ) (n - 3) 22018542 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 24580719 n ((n - 1) ) (n - 3) 18325386 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 8157672 n ((n - 1) ) (n - 3) 1632960 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n n 9 n n 1229898879 n (n - 1) (n - 4) 2212957422 n (n - 1) (n - 4) - -------------------------------- - ------------------------------- 4 n 2 12 4 n 2 12 8 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 11 n n 1767824892 n (n - 1) (n - 4) 1095529934 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 7 n n 1900332467 n (n - 1) (n - 4) 841823280 n (n - 1) (n - 4) + -------------------------------- - ------------------------------ 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 6 15 n 5 10368 n ((n - 1) ) 324 n ((n - 1) ) + --------------------- - ------------------- 27 n 6 21 n 5 (n - 1) (n ) (n - 1) (n ) 24 n n 25 n n 293989 n (n - 1) (n - 6) 505765 n (n - 1) (n - 6) - ---------------------------- + ---------------------------- 4 n 2 17 4 n 2 17 16 (n - 1) (n ) (n - 6) 864 (n - 1) (n ) (n - 6) 22 n n 23 n n 3302192543 n (n - 1) (n - 6) 61540135 n (n - 1) (n - 6) - -------------------------------- + ------------------------------ 4 n 2 17 4 n 2 17 432 (n - 1) (n ) (n - 6) 144 (n - 1) (n ) (n - 6) 26 n n 21 n n 11231 n (n - 1) (n - 6) 46530717085 n (n - 1) (n - 6) - ---------------------------- + --------------------------------- 4 n 2 17 4 n 2 17 864 (n - 1) (n ) (n - 6) 432 (n - 1) (n ) (n - 6) 20 n n 1049857566701 n (n - 1) (n - 6) - ----------------------------------- 4 n 2 17 864 (n - 1) (n ) (n - 6) 19 n n 9584712725215 n (n - 1) (n - 6) + ----------------------------------- 4 n 2 17 864 (n - 1) (n ) (n - 6) 18 n n 23764800433777 n (n - 1) (n - 6) - ------------------------------------ 4 n 2 17 288 (n - 1) (n ) (n - 6) 17 n n 144542817364075 n (n - 1) (n - 6) + ------------------------------------- 4 n 2 17 288 (n - 1) (n ) (n - 6) 16 n n 539582477905669 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 17 216 (n - 1) (n ) (n - 6) 15 n n 2193772647798755 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 17 216 (n - 1) (n ) (n - 6) 14 n n 906463088676208 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 17 27 (n - 1) (n ) (n - 6) 13 n n 4834214028032155 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 17 54 (n - 1) (n ) (n - 6) 9 n n 376330660134240 n (n - 1) (n - 6) + ------------------------------------ 4 n 2 17 (n - 1) (n ) (n - 6) 8 n n 242462794147200 n (n - 1) (n - 6) - ------------------------------------ 4 n 2 17 (n - 1) (n ) (n - 6) 11 n n 950535824940850 n (n - 1) (n - 6) + ------------------------------------- 4 n 2 17 3 (n - 1) (n ) (n - 6) 12 n n 1712564505030046 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 17 9 (n - 1) (n ) (n - 6) 7 n n 95850711936000 n (n - 1) (n - 6) + ----------------------------------- 4 n 2 17 (n - 1) (n ) (n - 6) 10 n n 402880659390664 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 17 (n - 1) (n ) (n - 6) 6 n n 28 n n 17435658240000 n (n - 1) (n - 6) n (n - 1) (n - 6) - ----------------------------------- - ---------------------------- 4 n 2 17 4 n 2 17 (n - 1) (n ) (n - 6) 864 (n - 1) (n ) (n - 6) 27 n n 25 n 3 n 155 n (n - 1) (n - 6) 34589689 n ((n - 1) ) (n - 4) + ---------------------------- + --------------------------------- 4 n 2 17 14 n 4 11 864 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 4) 26 n 3 n 30 n 2 n 37277965 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 5) - --------------------------------- + ------------------------------ 14 n 4 11 10 n 3 13 72 (n - 1) (n ) (n - 4) 1152 (n - 1) (n ) (n - 5) 29 n 2 n 28 n 2 n 35 n ((n - 1) ) (n - 5) 643 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 10 n 3 13 10 n 3 13 384 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 27 n 2 n 30 n 2 n 42527 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 5) - ------------------------------ + ---------------------------- 8 n 3 15 8 n 3 15 96 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 25 n 2 n 26 n 2 n 4794335 n ((n - 1) ) (n - 5) 1051925 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 8 n 3 15 8 n 3 15 24 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 802139741 n ((n - 1) ) (n - 5) 4380146827 n ((n - 1) ) (n - 5) + ---------------------------------- - ----------------------------------- 8 n 3 15 8 n 3 15 288 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 22 n 2 n 152282661589 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 15 576 (n - 1) (n ) (n - 5) 21 n 2 n 88702165123 n ((n - 1) ) (n - 5) - ------------------------------------ 8 n 3 15 48 (n - 1) (n ) (n - 5) 20 n 2 n 2007139632407 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 15 192 (n - 1) (n ) (n - 5) 19 n 2 n 4608366343399 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 15 96 (n - 1) (n ) (n - 5) 18 n 2 n 25764951886027 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 15 144 (n - 1) (n ) (n - 5) 17 n 2 n 38853359969129 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 15 72 (n - 1) (n ) (n - 5) 16 n 2 n 47101371240325 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 15 36 (n - 1) (n ) (n - 5) 12 n 2 n 3717411543144 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 11 n 2 n 2177076518496 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 14 n 2 n 3807321566237 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 15 n 2 n 15138393688265 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 15 6 (n - 1) (n ) (n - 5) 10 n 2 n 784808922240 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 13 n 2 n 4387135794678 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 9 n 2 n 29 n 2 n 130767436800 n ((n - 1) ) (n - 5) 31 n ((n - 1) ) (n - 5) - ------------------------------------ - ---------------------------- 8 n 3 15 8 n 3 15 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 28 n 2 n 32 n 3 n 7153 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 15 12 n 4 13 576 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 4) 31 n 3 n 30 n 3 n 49 n ((n - 1) ) (n - 4) 4451 n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 12 n 4 13 12 n 4 13 432 (n - 1) (n ) (n - 4) 864 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 6919 n ((n - 1) ) (n - 4) 1203671 n ((n - 1) ) (n - 4) + ----------------------------- - -------------------------------- 12 n 4 13 12 n 4 13 48 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 4) 27 n 3 n 14 n n 8541913 n ((n - 1) ) (n - 4) n (n - 1) (n - 2) + -------------------------------- - ------------------------- 12 n 4 13 4 n 2 7 216 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 868 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 3214 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 2364 n (n - 1) (n - 2) 720 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 565 n ((n - 1) ) (n - 3) 28457 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 9 n 3 10 9 n 3 10 24 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 20 n 2 n 24 n 2 n 322805 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------- + --------------------------- 9 n 3 10 9 n 3 10 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n 61 n ((n - 1) ) (n - 3) 291191 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 9 n 3 10 9 n 3 10 72 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 15731093 n ((n - 1) ) (n - 3) 71093411 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 9 n 3 10 9 n 3 10 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 16 n 2 n 20 n 3 n 13549139 n ((n - 1) ) (n - 3) 2366681 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 9 n 3 10 14 n 4 7 4 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 3916937 n ((n - 1) ) (n - 2) 697844 n ((n - 1) ) (n - 2) + -------------------------------- + ------------------------------- 14 n 4 7 14 n 4 7 36 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 466608 n ((n - 1) ) (n - 2) 4584502 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 2445758 n ((n - 1) ) (n - 2) 188352 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 14 n 4 7 14 n 4 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 704946 n ((n - 1) ) (n - 2) 34560 n ((n - 1) ) (n - 2) - ------------------------------- - ------------------------------ 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 2 n 55503416945 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 12 (n - 1) (n ) (n - 4) 12 n 2 n 17805076740 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 10988638848 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 16013212725 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 29374731527 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 3 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 4145670720 n ((n - 1) ) (n - 4) 5994351 n ((n - 1) ) (n - 4) - ----------------------------------- + -------------------------------- 9 n 3 12 9 n 3 12 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 7925225 n ((n - 1) ) (n - 4) 63034355 n ((n - 1) ) (n - 4) - -------------------------------- - --------------------------------- 9 n 3 12 9 n 3 12 24 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 18 n 2 n 23978675105 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 48 (n - 1) (n ) (n - 4) 17 n 2 n 20534512039 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 12 (n - 1) (n ) (n - 4) 19 n 2 n 5536442725 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 12 48 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 19781848956 n ((n - 1) ) (n - 4) 718502400 n ((n - 1) ) (n - 4) + ------------------------------------ + --------------------------------- 9 n 3 12 9 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 48440479945 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 288 (n - 1) (n ) (n - 4) 17 n 2 n 4892228601 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 13 8 (n - 1) (n ) (n - 4) 16 n 2 n 125797331777 n ((n - 1) ) (n - 4) - ------------------------------------- 8 n 3 13 72 (n - 1) (n ) (n - 4) 12 n 2 n 8069444406 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 4) 11 n 2 n 5163815664 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 4) 14 n 2 n 13353979351 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 2 (n - 1) (n ) (n - 4) 15 n 2 n 23362550195 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 6 (n - 1) (n ) (n - 4) 10 n 2 n 2012960160 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 13 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 8615441574 n ((n - 1) ) (n - 4) 359251200 n ((n - 1) ) (n - 4) + ----------------------------------- + --------------------------------- 8 n 3 13 8 n 3 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 31 n ((n - 1) ) (n - 4) 995 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 8 n 3 13 8 n 3 13 96 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 24 n 2 n 22 n n 26021 n ((n - 1) ) (n - 4) 3079 n (n - 1) (n - 5) - ------------------------------ + -------------------------- 8 n 3 13 4 n 2 15 72 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 5) 26 n 3 n 25 n 3 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - --------------------------- + --------------------------- 14 n 4 7 14 n 4 7 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 887 n ((n - 1) ) (n - 2) 5429 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 14 n 4 7 14 n 4 7 72 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 30053 n ((n - 1) ) (n - 2) 22379 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 14 n 4 7 14 n 4 7 24 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 34 n 4 n 33 n 4 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 18 n 5 9 18 n 5 9 192 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 32 n 4 n 24 n 4 n 127 n ((n - 1) ) (n - 3) 3068328479 n ((n - 1) ) (n - 3) + ---------------------------- + ----------------------------------- 18 n 5 9 18 n 5 9 12 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 23 n 4 n 3784842167 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 9 24 (n - 1) (n ) (n - 3) 22 n 4 n 1251241979 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 9 4 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 2967022397 n ((n - 1) ) (n - 3) 613879063 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 18 n 5 9 18 n 5 9 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 584699262 n ((n - 1) ) (n - 3) 411913944 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 18 n 5 9 18 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 201931488 n ((n - 1) ) (n - 3) 61409664 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 18 n 5 9 18 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 31 n 4 n 8709120 n ((n - 1) ) (n - 3) 9701 n ((n - 1) ) (n - 3) - -------------------------------- - ----------------------------- 18 n 5 9 18 n 5 9 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 257723 n ((n - 1) ) (n - 3) 632713 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 18 n 5 9 18 n 5 9 96 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 9529367 n ((n - 1) ) (n - 3) 56327129 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 18 n 5 9 18 n 5 9 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 26 n 4 n 1061011313 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 9 192 (n - 1) (n ) (n - 3) 25 n 4 n 2008184915 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 9 96 (n - 1) (n ) (n - 3) 23 n 3 n 3481771215 n ((n - 1) ) (n - 4) + ----------------------------------- 14 n 4 11 32 (n - 1) (n ) (n - 4) 22 n 3 n 34 n 5 n 20233912831 n ((n - 1) ) (n - 4) 341 n ((n - 1) ) (n - 2) - ------------------------------------ - ---------------------------- 14 n 4 11 22 n 6 7 48 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 2) 36 n 5 n 35 n 5 n n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 22 n 6 7 22 n 6 7 288 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 421350223 n ((n - 1) ) (n - 2) 15108372 n ((n - 1) ) (n - 2) + ---------------------------------- + --------------------------------- 22 n 6 7 22 n 6 7 36 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 33 n 5 n 7344432 n ((n - 1) ) (n - 2) 2677 n ((n - 1) ) (n - 2) - -------------------------------- + ----------------------------- 22 n 6 7 22 n 6 7 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 31 n 5 n 32 n 5 n 473809 n ((n - 1) ) (n - 2) 13013 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 22 n 6 7 22 n 6 7 72 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 1469617 n ((n - 1) ) (n - 2) 595559 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 22 n 6 7 22 n 6 7 36 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 220943485 n ((n - 1) ) (n - 2) 341763155 n ((n - 1) ) (n - 2) - ---------------------------------- + ---------------------------------- 22 n 6 7 22 n 6 7 288 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 26 n 5 n 23 n 5 n 141391133 n ((n - 1) ) (n - 2) 22827357 n ((n - 1) ) (n - 2) - ---------------------------------- + --------------------------------- 22 n 6 7 22 n 6 7 24 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 5 n 19 n 5 n 110811643 n ((n - 1) ) (n - 2) 2213568 n ((n - 1) ) (n - 2) - ---------------------------------- + -------------------------------- 22 n 6 7 22 n 6 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 18 n 5 n 21607818 n ((n - 1) ) (n - 2) 311040 n ((n - 1) ) (n - 2) - --------------------------------- - ------------------------------- 22 n 6 7 22 n 6 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 32 n 3 n 31 n 3 n n ((n - 1) ) (n - 4) 77 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 15 n 4 10 15 n 4 10 3456 (n - 1) (n ) (n - 4) 3456 (n - 1) (n ) (n - 4) 30 n 3 n 29 n 3 n 77 n ((n - 1) ) (n - 4) 5171 n ((n - 1) ) (n - 4) - ---------------------------- + ----------------------------- 15 n 4 10 15 n 4 10 96 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n 161491 n ((n - 1) ) (n - 4) 1870259 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 15 n 4 10 15 n 4 10 576 (n - 1) (n ) (n - 4) 576 (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n 12504071 n ((n - 1) ) (n - 4) 10984247 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 15 n 4 10 15 n 4 10 432 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 24 n 3 n 1318755751 n ((n - 1) ) (n - 4) - ----------------------------------- 15 n 4 10 1152 (n - 1) (n ) (n - 4) 23 n 3 n 6002696323 n ((n - 1) ) (n - 4) + ----------------------------------- 15 n 4 10 1152 (n - 1) (n ) (n - 4) 22 n 3 n 5555529253 n ((n - 1) ) (n - 4) - ----------------------------------- 15 n 4 10 288 (n - 1) (n ) (n - 4) 21 n 3 n 16757369171 n ((n - 1) ) (n - 4) + ------------------------------------ 15 n 4 10 288 (n - 1) (n ) (n - 4) 20 n 3 n 30834102577 n ((n - 1) ) (n - 4) - ------------------------------------ 15 n 4 10 216 (n - 1) (n ) (n - 4) 19 n 3 n 61191435827 n ((n - 1) ) (n - 4) + ------------------------------------ 15 n 4 10 216 (n - 1) (n ) (n - 4) 18 n 3 n 8105032763 n ((n - 1) ) (n - 4) - ----------------------------------- 15 n 4 10 18 (n - 1) (n ) (n - 4) 17 n 3 n 16 n 3 n 3385731979 n ((n - 1) ) (n - 4) 544347708 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 15 n 4 10 15 n 4 10 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 3 n 14 n 3 n 389414928 n ((n - 1) ) (n - 4) 194249088 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 15 n 4 10 15 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 3 n 12 n 3 n 60200064 n ((n - 1) ) (n - 4) 8709120 n ((n - 1) ) (n - 4) + --------------------------------- - -------------------------------- 15 n 4 10 15 n 4 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 7 n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 3 9 10 n 3 9 288 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 10045 n ((n - 1) ) (n - 3) 78127 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 9 10 n 3 9 288 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 1650145 n ((n - 1) ) (n - 3) 3133067 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 9 10 n 3 9 288 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 34 n 4 n 33 n 4 n n ((n - 1) ) (n - 3) 31 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 19 n 5 8 19 n 5 8 864 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 32 n 4 n 31 n 4 n 25 n ((n - 1) ) (n - 3) 2711 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 19 n 5 8 19 n 5 8 12 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 68401 n ((n - 1) ) (n - 3) 80005 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 19 n 5 8 19 n 5 8 144 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 6910591 n ((n - 1) ) (n - 3) 39159869 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 19 n 5 8 19 n 5 8 216 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 236376523 n ((n - 1) ) (n - 3) 431229755 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 19 n 5 8 19 n 5 8 288 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 24 n 4 n 16 n 4 n 636647083 n ((n - 1) ) (n - 3) 6944256 n ((n - 1) ) (n - 3) + ---------------------------------- + -------------------------------- 19 n 5 8 19 n 5 8 72 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 23 n 4 n 967680 n ((n - 1) ) (n - 3) 760578043 n ((n - 1) ) (n - 3) - ------------------------------- - ---------------------------------- 19 n 5 8 19 n 5 8 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 22 n 4 n 2196473755 n ((n - 1) ) (n - 3) + ----------------------------------- 19 n 5 8 54 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 1688579251 n ((n - 1) ) (n - 3) 680909986 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 19 n 5 8 19 n 5 8 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 211050380 n ((n - 1) ) (n - 3) 48468096 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 19 n 5 8 19 n 5 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 36 n 5 n 23274624 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) - --------------------------------- - ---------------------------- 19 n 5 8 23 n 6 6 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 2) 35 n 5 n 34 n 5 n 13 n ((n - 1) ) (n - 2) 317 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 23 n 6 6 23 n 6 6 144 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n 102157 n ((n - 1) ) (n - 2) 100393 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 23 n 6 6 23 n 6 6 288 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 33 n 5 n 27 n 5 n 301 n ((n - 1) ) (n - 2) 131372315 n ((n - 1) ) (n - 2) + ---------------------------- + ---------------------------------- 23 n 6 6 23 n 6 6 9 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 319465819 n ((n - 1) ) (n - 2) 77824891 n ((n - 1) ) (n - 2) - ---------------------------------- + --------------------------------- 23 n 6 6 23 n 6 6 144 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 24 n 5 n 29 n 5 n 241236683 n ((n - 1) ) (n - 2) 2875031 n ((n - 1) ) (n - 2) - ---------------------------------- + -------------------------------- 23 n 6 6 23 n 6 6 36 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 28 n 5 n 30 n 5 n 173635165 n ((n - 1) ) (n - 2) 404173 n ((n - 1) ) (n - 2) - ---------------------------------- - ------------------------------- 23 n 6 6 23 n 6 6 576 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 2508192 n ((n - 1) ) (n - 2) 746496 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 23 n 6 6 23 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 7589949 n ((n - 1) ) (n - 2) 5230128 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 23 n 6 6 23 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 103680 n ((n - 1) ) (n - 2) 8144779 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 23 n 6 6 23 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n n 23 n n n (n - 1) (n - 5) n (n - 1) (n - 5) - ---------------------------- + -------------------------- 5 n 2 13 5 n 2 13 192 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 22 n n 13 n n 709 n (n - 1) (n - 5) 17747927041 n (n - 1) (n - 5) - --------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 32 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 9 n n 8 n n 26662512672 n (n - 1) (n - 5) 18220795776 n (n - 1) (n - 5) + -------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 21 n n 19 n n 19261 n (n - 1) (n - 5) 4887337 n (n - 1) (n - 5) + --------------------------- + ----------------------------- 5 n 2 13 5 n 2 13 32 (n - 1) (n ) (n - 5) 32 (n - 1) (n ) (n - 5) 20 n n 18 n n 89835 n (n - 1) (n - 5) 150616949 n (n - 1) (n - 5) - --------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 8 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 31 n 4 n 30 n 4 n n ((n - 1) ) (n - 2) 49 n ((n - 1) ) (n - 2) + --------------------------- - --------------------------- 18 n 5 7 18 n 5 7 96 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n 371 n ((n - 1) ) (n - 2) 15557 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 18 n 5 7 18 n 5 7 32 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 149771 n ((n - 1) ) (n - 2) 351013 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 18 n 5 7 18 n 5 7 96 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 5593115 n ((n - 1) ) (n - 2) 22889855 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 96 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 759745 n ((n - 1) ) (n - 2) 45377395 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 5031342 n ((n - 1) ) (n - 2) 2831976 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 4 n 21 n 4 n 10918363 n ((n - 1) ) (n - 2) 10985393 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 18 n 5 7 18 n 5 7 2 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 977184 n ((n - 1) ) (n - 2) 6139128 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 28 n 3 n 155520 n ((n - 1) ) (n - 2) 61 n ((n - 1) ) (n - 3) + ------------------------------- + --------------------------- 18 n 5 7 14 n 4 9 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 1721 n ((n - 1) ) (n - 3) 29833 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 14 n 4 9 14 n 4 9 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 355955 n ((n - 1) ) (n - 3) 3102931 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 14 n 4 9 14 n 4 9 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 6822361 n ((n - 1) ) (n - 3) 104355515 n ((n - 1) ) (n - 3) - -------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 16 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 29 n 3 n 14 n n n ((n - 1) ) (n - 3) 652629515245415 n (n - 1) (n - 6) - --------------------------- - ------------------------------------- 14 n 4 9 5 n 2 16 48 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 6) 11 n n 145555695349997 n (n - 1) (n - 6) + ------------------------------------- 5 n 2 16 2 (n - 1) (n ) (n - 6) 12 n n 137945801919418 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 16 3 (n - 1) (n ) (n - 6) 7 n n 18584980848000 n (n - 1) (n - 6) + ----------------------------------- 5 n 2 16 (n - 1) (n ) (n - 6) 10 n n 88250756683872 n (n - 1) (n - 6) - ------------------------------------ 5 n 2 16 (n - 1) (n ) (n - 6) 6 n n 28 n n 3269185920000 n (n - 1) (n - 6) n (n - 1) (n - 6) - ---------------------------------- - ----------------------------- 5 n 2 16 5 n 2 16 (n - 1) (n ) (n - 6) 1152 (n - 1) (n ) (n - 6) 27 n n 26 n n 143 n (n - 1) (n - 6) 9563 n (n - 1) (n - 6) + ----------------------------- - ----------------------------- 5 n 2 16 5 n 2 16 1152 (n - 1) (n ) (n - 6) 1152 (n - 1) (n ) (n - 6) 26 n 4 n 2919065845 n ((n - 1) ) (n - 3) + ----------------------------------- 16 n 5 11 3456 (n - 1) (n ) (n - 3) 25 n 4 n 4041202435 n ((n - 1) ) (n - 3) - ----------------------------------- 16 n 5 11 1152 (n - 1) (n ) (n - 3) 24 n 4 n 2523840431 n ((n - 1) ) (n - 3) + ----------------------------------- 16 n 5 11 216 (n - 1) (n ) (n - 3) 23 n 4 n 13489461799 n ((n - 1) ) (n - 3) - ------------------------------------ 16 n 5 11 432 (n - 1) (n ) (n - 3) 22 n 4 n 14407823209 n ((n - 1) ) (n - 3) + ------------------------------------ 16 n 5 11 216 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 1016435627 n ((n - 1) ) (n - 3) 896331179 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 16 n 5 11 16 n 5 11 9 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 150880503 n ((n - 1) ) (n - 3) 112201476 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 16 n 5 11 16 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 57812922 n ((n - 1) ) (n - 3) 18404280 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 16 n 5 11 16 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 34 n 4 n 2721600 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 16 n 5 11 16 n 5 11 (n - 1) (n ) (n - 3) 3456 (n - 1) (n ) (n - 3) 33 n 4 n 32 n 4 n 77 n ((n - 1) ) (n - 3) 343 n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 16 n 5 11 16 n 5 11 3456 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 2507 n ((n - 1) ) (n - 3) 455177 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 16 n 5 11 16 n 5 11 144 (n - 1) (n ) (n - 3) 1728 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 5051009 n ((n - 1) ) (n - 3) 666392 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 16 n 5 11 16 n 5 11 1728 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 3 n 70134509 n ((n - 1) ) (n - 3) 184738007 n ((n - 1) ) (n - 4) - --------------------------------- - ---------------------------------- 16 n 5 11 12 n 4 13 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 4) 25 n 3 n 779362117 n ((n - 1) ) (n - 4) + ---------------------------------- 12 n 4 13 216 (n - 1) (n ) (n - 4) 24 n 3 n 20848277797 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 13 864 (n - 1) (n ) (n - 4) 23 n 3 n 18604601275 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 4 13 144 (n - 1) (n ) (n - 4) 22 n 3 n 481285891151 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 4 13 864 (n - 1) (n ) (n - 4) 21 n 3 n 837216677479 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 13 432 (n - 1) (n ) (n - 4) 20 n 3 n 1173517605679 n ((n - 1) ) (n - 4) - -------------------------------------- 12 n 4 13 216 (n - 1) (n ) (n - 4) 19 n 3 n 439546709833 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 13 36 (n - 1) (n ) (n - 4) 15 n 3 n 25416234972 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 4 13 (n - 1) (n ) (n - 4) 14 n 3 n 13802315328 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 13 (n - 1) (n ) (n - 4) 17 n 3 n 30402863443 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 4 13 (n - 1) (n ) (n - 4) 18 n 3 n 43575293431 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 13 2 (n - 1) (n ) (n - 4) 13 n 3 n 4624672320 n ((n - 1) ) (n - 4) + ----------------------------------- 12 n 4 13 (n - 1) (n ) (n - 4) 16 n 3 n 32401229046 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 13 (n - 1) (n ) (n - 4) 12 n 3 n 14 n 13 n 718502400 n ((n - 1) ) (n - 4) 15 n (n - 4) 1601 n (n - 4) - ---------------------------------- - --------------- + ----------------- 12 n 4 13 n 11 n 11 (n - 1) (n ) (n - 4) 2 n (n - 4) 8 n (n - 4) 12 n 11 n 10 n 3135 n (n - 4) 256443 n (n - 4) 449955 n (n - 4) - ----------------- + ------------------- - ------------------- n 11 n 11 n 11 n (n - 4) 8 n (n - 4) 2 n (n - 4) 9 n 8 n 7 n 8873843 n (n - 4) 3863310 n (n - 4) 9412832 n (n - 4) + ------------------- - ------------------- + ------------------- n 11 n 11 n 11 8 n (n - 4) n (n - 4) n (n - 4) 6 n 5 n 4 n 15606690 n (n - 4) 16661682 n (n - 4) 10239480 n (n - 4) - -------------------- + -------------------- - -------------------- n 11 n 11 n 11 n (n - 4) n (n - 4) n (n - 4) 15 n 3 n 18 n n n (n - 4) 2721600 n (n - 4) 7 n (n - 1) (n - 3) + -------------- + ------------------- + --------------------------- n 11 n 11 5 n 2 10 8 n (n - 4) n (n - 4) 18 (n - 1) (n ) (n - 3) 17 n n 16 n n 1409 n (n - 1) (n - 3) 5269 n (n - 1) (n - 3) - ---------------------------- + --------------------------- 5 n 2 10 5 n 2 10 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 15 n n 14 n n 23219 n (n - 1) (n - 3) 30196 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 16 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n n 12 n n 7230227 n (n - 1) (n - 3) 6561457 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 11 n n 10 n n 4329625 n (n - 1) (n - 3) 8198831 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 3604643 n (n - 1) (n - 3) 1043584 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 7 n n 6 n n 533712 n (n - 1) (n - 3) 120960 n (n - 1) (n - 3) - --------------------------- + --------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 13141163 n ((n - 1) ) (n - 2) 1760717 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 15 n 4 6 15 n 4 6 864 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 3 n 26 n 3 n 12845959 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) - --------------------------------- - ---------------------------- 15 n 4 6 15 n 4 6 108 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 49 n ((n - 1) ) (n - 2) 5677 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 15 n 4 6 15 n 4 6 144 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 1855 n ((n - 1) ) (n - 2) 534457 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------- 15 n 4 6 15 n 4 6 24 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 21 n 3 n 14 n 3 n 512897 n ((n - 1) ) (n - 2) 187376 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 15 n 4 6 15 n 4 6 144 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 74368 n ((n - 1) ) (n - 2) 15897875 n ((n - 1) ) (n - 2) + ------------------------------ - --------------------------------- 15 n 4 6 15 n 4 6 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 15 n 3 n 12 n 3 n 2569672 n ((n - 1) ) (n - 2) 13440 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------ 15 n 4 6 15 n 4 6 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 19 n 18 n 652694 n ((n - 1) ) (n - 2) n (n - 5) 25 n (n - 5) + ------------------------------- + --------------- - --------------- 15 n 4 6 n 14 n 14 3 (n - 1) (n ) (n - 2) 16 n (n - 5) 4 n (n - 5) 17 n 16 n 15 n 286 n (n - 5) 31765 n (n - 5) 1196741 n (n - 5) + ---------------- - ------------------ + -------------------- n 14 n 14 n 14 n (n - 5) 4 n (n - 5) 8 n (n - 5) 14 n 13 n 12 n 8099455 n (n - 5) 40698229 n (n - 5) 618767435 n (n - 5) - -------------------- + --------------------- - ---------------------- n 14 n 14 n 14 4 n (n - 5) 2 n (n - 5) 4 n (n - 5) 11 n 10 n 14365627133 n (n - 5) 3986760635 n (n - 5) + ------------------------ - ----------------------- n 14 n 14 16 n (n - 5) n (n - 5) 6 n 5 n 85218535620 n (n - 5) 75577258224 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 n (n - 5) n (n - 5) 8 n 9 n 34274227715 n (n - 5) 13478425688 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 n (n - 5) n (n - 5) 4 n 7 n 39823047360 n (n - 5) 64144730199 n (n - 5) - ----------------------- + ----------------------- n 14 n 14 n (n - 5) n (n - 5) 3 n 27 n 2 n 9340531200 n (n - 5) n ((n - 1) ) (n - 4) + ---------------------- + ---------------------------- n 14 8 n 3 13 n (n - 5) 288 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 310507 n ((n - 1) ) (n - 4) 12113969 n ((n - 1) ) (n - 4) + ------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 48 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 29644759 n ((n - 1) ) (n - 4) 12404795 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 36 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 19 n 2 n 21 n 6 10493876965 n ((n - 1) ) (n - 4) 261858 n ((n - 1) ) + ------------------------------------ - ---------------------- 8 n 3 13 27 n 6 288 (n - 1) (n ) (n - 4) (n - 1) (n ) 20 n 6 19 n 6 159192 n ((n - 1) ) 59616 n ((n - 1) ) + ---------------------- - --------------------- 27 n 6 27 n 6 (n - 1) (n ) (n - 1) (n ) 21 n 2 n 20 n 2 n n ((n - 1) ) (n - 2) 13 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 10 n 3 7 10 n 3 7 144 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 343 n ((n - 1) ) (n - 2) 1199 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 10 n 3 7 10 n 3 7 72 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 16691 n ((n - 1) ) (n - 2) 27063 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 106051 n ((n - 1) ) (n - 2) 44384 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 238966 n ((n - 1) ) (n - 2) 99503 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 10 n 3 7 10 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 27324 n ((n - 1) ) (n - 2) 13296 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 19 n n 2880 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 10 n 3 7 5 n 2 10 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 1027 n ((n - 1) ) (n - 2) 13847 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 5 6 19 n 5 6 144 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 128917 n ((n - 1) ) (n - 2) 878621 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 19 n 5 6 19 n 5 6 144 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 4533545 n ((n - 1) ) (n - 2) 18061045 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 19 n 5 6 19 n 5 6 144 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 1293888 n ((n - 1) ) (n - 2) 440064 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 19 n 5 6 19 n 5 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 8695034 n ((n - 1) ) (n - 2) 2335168 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 19 n 5 6 19 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 69120 n ((n - 1) ) (n - 2) 23628337 n ((n - 1) ) (n - 2) + ------------------------------ - --------------------------------- 19 n 5 6 19 n 5 6 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 29 n 3 n 28 n 3 n n ((n - 1) ) (n - 3) 19 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 15 n 4 8 15 n 4 8 288 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 503 n ((n - 1) ) (n - 3) 8215 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 15 n 4 8 15 n 4 8 96 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 30903 n ((n - 1) ) (n - 3) 767245 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 15 n 4 8 15 n 4 8 32 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 14464927 n ((n - 1) ) (n - 3) 23501477 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 288 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 22484821 n ((n - 1) ) (n - 3) 67938557 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 13503781 n ((n - 1) ) (n - 3) 75824471 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 2 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 164951258 n ((n - 1) ) (n - 3) 20155858 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 15 n 4 8 15 n 4 8 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 16223200 n ((n - 1) ) (n - 3) 8999232 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 15 n 4 8 15 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 3068928 n ((n - 1) ) (n - 3) 483840 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 15 n 4 8 15 n 4 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n n 16 n n 398181407 n (n - 1) (n - 5) 4941961453 n (n - 1) (n - 5) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 32 (n - 1) (n ) (n - 5) 64 (n - 1) (n ) (n - 5) 15 n n 14 n n 12084698483 n (n - 1) (n - 5) 11668743333 n (n - 1) (n - 5) + --------------------------------- - --------------------------------- 5 n 2 13 5 n 2 13 32 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 11 n n 12 n n 38631486399 n (n - 1) (n - 5) 126564948163 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 5 n 2 13 5 n 2 13 2 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 7 n n 10 n n 7572839040 n (n - 1) (n - 5) 26636049168 n (n - 1) (n - 5) + ------------------------------- - --------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 30 n 4 n 1437004800 n (n - 1) (n - 5) n ((n - 1) ) (n - 2) - ------------------------------- + ---------------------------- 5 n 2 13 16 n 5 8 (n - 1) (n ) (n - 5) 192 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n n ((n - 1) ) (n - 2) 11 n ((n - 1) ) (n - 2) - -------------------------- + --------------------------- 16 n 5 8 16 n 5 8 4 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 3533 n ((n - 1) ) (n - 2) 21453 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 16 n 5 8 16 n 5 8 48 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 70465 n ((n - 1) ) (n - 2) 1035065 n ((n - 1) ) (n - 2) - ------------------------------ + -------------------------------- 16 n 5 8 16 n 5 8 16 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 23 n 4 n 22 n 4 n 1282525 n ((n - 1) ) (n - 2) 14599315 n ((n - 1) ) (n - 2) - -------------------------------- + --------------------------------- 16 n 5 8 16 n 5 8 16 (n - 1) (n ) (n - 2) 64 (n - 1) (n ) (n - 2) 21 n 4 n 20 n 4 n 23857465 n ((n - 1) ) (n - 2) 13157803 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 16 n 5 8 16 n 5 8 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 4057971 n ((n - 1) ) (n - 2) 3611817 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 16 n 5 8 16 n 5 8 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 547101 n ((n - 1) ) (n - 2) 201609 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 16 n 5 8 16 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 24 n 3 n 34020 n ((n - 1) ) (n - 2) 88549 n ((n - 1) ) (n - 3) - ------------------------------ - ------------------------------ 16 n 5 8 12 n 4 10 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 3) 23 n 3 n 28 n 3 n 498117 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------- - ---------------------------- 12 n 4 10 12 n 4 10 8 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 31 n ((n - 1) ) (n - 3) 293 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 12 n 4 10 12 n 4 10 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 25 n 3 n 22 n 3 n 15133 n ((n - 1) ) (n - 3) 9408355 n ((n - 1) ) (n - 3) + ------------------------------ - -------------------------------- 12 n 4 10 12 n 4 10 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 45103175 n ((n - 1) ) (n - 3) 110970905 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 12 n 4 10 12 n 4 10 24 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 237339595 n ((n - 1) ) (n - 3) 521394539 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 12 n 4 10 12 n 4 10 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 72774789 n ((n - 1) ) (n - 3) 91113411 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 82422972 n ((n - 1) ) (n - 3) 50791212 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 19036944 n ((n - 1) ) (n - 3) 3265920 n ((n - 1) ) (n - 3) + --------------------------------- - -------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 25 n 2 n 24 n 2 n 81 n ((n - 1) ) (n - 4) 94 n ((n - 1) ) (n - 4) - --------------------------- + --------------------------- 8 n 3 12 8 n 3 12 32 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 23 n 2 n 26 n 2 n 16997 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------ + --------------------------- 8 n 3 12 8 n 3 12 8 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 16 n 2 n 4393369677 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 4 (n - 1) (n ) (n - 4) 12 n 2 n 5739673068 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 3748922838 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 4509135999 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 20356459529 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 12 8 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 1487266920 n ((n - 1) ) (n - 4) 5830853 n ((n - 1) ) (n - 4) + ----------------------------------- - -------------------------------- 8 n 3 12 8 n 3 12 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 523593 n ((n - 1) ) (n - 4) 3038050 n ((n - 1) ) (n - 4) + ------------------------------- + -------------------------------- 8 n 3 12 8 n 3 12 16 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n 2 n 3057725605 n ((n - 1) ) (n - 4) + ----------------------------------- 8 n 3 12 32 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 11747772685 n ((n - 1) ) (n - 4) 38729955 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 8 n 3 12 8 n 3 12 32 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 11966550183 n ((n - 1) ) (n - 4) 269438400 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 8 n 3 12 8 n 3 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n n 21 n n 847 n (n - 1) (n - 5) 12545 n (n - 1) (n - 5) - -------------------------- + --------------------------- 4 n 2 14 4 n 2 14 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 20 n n 19 n n 509373 n (n - 1) (n - 5) 7521265 n (n - 1) (n - 5) - ---------------------------- + ----------------------------- 4 n 2 14 4 n 2 14 8 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 18 n n 17 n n 31370989 n (n - 1) (n - 5) 358115485 n (n - 1) (n - 5) - ------------------------------ + ------------------------------- 4 n 2 14 4 n 2 14 3 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 16 n n 15 n n 9564830275 n (n - 1) (n - 5) 50155574755 n (n - 1) (n - 5) - -------------------------------- + --------------------------------- 4 n 2 14 4 n 2 14 16 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 14 n n 13 n n 103464904101 n (n - 1) (n - 5) 41862306655 n (n - 1) (n - 5) - ---------------------------------- + --------------------------------- 4 n 2 14 4 n 2 14 8 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 9 n n 8 n n 309673517400 n (n - 1) (n - 5) 220639772448 n (n - 1) (n - 5) + --------------------------------- - --------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 203862517635 n (n - 1) (n - 5) 316386422902 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 95213646720 n (n - 1) (n - 5) 295512772506 n (n - 1) (n - 5) + -------------------------------- - ---------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 21 n 22 n 18681062400 n (n - 1) (n - 5) 10475 n (n - 6) 25 n (n - 6) - -------------------------------- + ------------------ - --------------- 4 n 2 14 n 17 n 17 (n - 1) (n ) (n - 5) 288 n (n - 6) 48 n (n - 6) 19 n 20 n 23 n 2258351 n (n - 6) 75415 n (n - 6) n (n - 6) + -------------------- - ------------------ + ---------------- n 17 n 17 n 17 48 n (n - 6) 48 n (n - 6) 288 n (n - 6) 18 n 17 n 16 n 8299315 n (n - 6) 2514603875 n (n - 6) 5510228615 n (n - 6) - -------------------- + ----------------------- - ----------------------- n 17 n 17 n 17 8 n (n - 6) 144 n (n - 6) 24 n (n - 6) 15 n 14 n 689068603301 n (n - 6) 957105541405 n (n - 6) + ------------------------- - ------------------------- n 17 n 17 288 n (n - 6) 48 n (n - 6) 13 n 12 n 12815607813125 n (n - 6) 11496585300265 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 96 n (n - 6) 16 n (n - 6) 11 n 10 n 55809768372661 n (n - 6) 63930789769865 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 18 n (n - 6) 6 n (n - 6) 6 n 5 n 109809682911120 n (n - 6) 85894676913600 n (n - 6) - --------------------------- + -------------------------- n 17 n 17 n (n - 6) n (n - 6) 8 n 9 n 181321868222035 n (n - 6) 519105720568475 n (n - 6) - --------------------------- + --------------------------- n 17 n 17 3 n (n - 6) 18 n (n - 6) 4 n 7 n 40660498368000 n (n - 6) 95616481117132 n (n - 6) - -------------------------- + -------------------------- n 17 n 17 n (n - 6) n (n - 6) 3 n 23 n 4 22 n 4 8717829120000 n (n - 6) n ((n - 1) ) 2 n ((n - 1) ) + ------------------------- - ------------------- + ------------------ n 17 19 n 4 19 n 4 n (n - 6) 432 (n - 1) (n ) 27 (n - 1) (n ) 21 n 4 20 n 4 19 n 4 77 n ((n - 1) ) 331 n ((n - 1) ) 7531 n ((n - 1) ) - ------------------ + ------------------- - -------------------- 19 n 4 19 n 4 19 n 4 72 (n - 1) (n ) 36 (n - 1) (n ) 144 (n - 1) (n ) 18 n 4 17 n 4 16 n 4 7439 n ((n - 1) ) 31249 n ((n - 1) ) 31012 n ((n - 1) ) + -------------------- - --------------------- + --------------------- 19 n 4 19 n 4 19 n 4 36 (n - 1) (n ) 54 (n - 1) (n ) 27 (n - 1) (n ) 15 n 4 14 n 4 13 n 4 14251 n ((n - 1) ) 1444 n ((n - 1) ) 784 n ((n - 1) ) - --------------------- + -------------------- - ------------------- 19 n 4 19 n 4 19 n 4 9 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 17 n 16 n 15 n n (n - 4) 83 n (n - 4) 3113 n (n - 4) + ---------------- - ---------------- + ----------------- n 13 n 13 n 13 432 n (n - 4) 432 n (n - 4) 432 n (n - 4) 14 n 13 n 12 n 69823 n (n - 4) 348205 n (n - 4) 3669523 n (n - 4) - ------------------ + ------------------- - -------------------- n 13 n 13 n 13 432 n (n - 4) 144 n (n - 4) 144 n (n - 4) 11 n 10 n 6 n 84120179 n (n - 4) 472581109 n (n - 4) 45435949 n (n - 4) + --------------------- - ---------------------- - -------------------- n 13 n 13 n 13 432 n (n - 4) 432 n (n - 4) n (n - 4) 5 n 8 n 9 n 45140216 n (n - 4) 371029373 n (n - 4) 489374743 n (n - 4) + -------------------- - --------------------- + --------------------- n 13 n 13 n 13 n (n - 4) 27 n (n - 4) 108 n (n - 4) 4 n 7 n 3 n 26189040 n (n - 4) 269684896 n (n - 4) 6652800 n (n - 4) - -------------------- + --------------------- + ------------------- n 13 n 13 n 13 n (n - 4) 9 n (n - 4) n (n - 4) 19 n n 20 n n 65 n (n - 1) (n - 4) n (n - 1) (n - 4) + --------------------------- - --------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 12 n 3 n 28 n 3 n 2177280 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - -------------------------------- - --------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 57 n ((n - 1) ) (n - 3) 1493 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 13 n 4 9 13 n 4 9 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 23861 n ((n - 1) ) (n - 3) 260511 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 13 n 4 9 13 n 4 9 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 2060887 n ((n - 1) ) (n - 3) 12223535 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 32 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 29742295 n ((n - 1) ) (n - 4) 177109595 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 9 n 3 11 9 n 3 11 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 1640031635 n ((n - 1) ) (n - 4) 371145445 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 9 n 3 11 9 n 3 11 48 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 16 n 2 n 4204112459 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 11 12 (n - 1) (n ) (n - 4) 15 n 2 n 2314544974 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 3 11 3 (n - 1) (n ) (n - 4) 14 n 2 n 1304912271 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 11 (n - 1) (n ) (n - 4) 13 n 2 n 1659177744 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 3 11 (n - 1) (n ) (n - 4) 12 n 2 n 11 n 2 n 1530893772 n ((n - 1) ) (n - 4) 965245248 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 9 n 3 11 9 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 370941120 n ((n - 1) ) (n - 4) 3835447 n ((n - 1) ) (n - 4) + ---------------------------------- - -------------------------------- 9 n 3 11 9 n 3 11 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 9 n 2 n 13 n 12 n 65318400 n ((n - 1) ) (n - 4) n (n - 3) 47 n (n - 3) - -------------------------------- + --------------- - --------------- 9 n 3 11 n 10 n 10 (n - 1) (n ) (n - 4) 24 n (n - 3) 24 n (n - 3) 11 n 10 n 9 n 40 n (n - 3) 1865 n (n - 3) 27391 n (n - 3) + --------------- - ----------------- + ----------------- n 10 n 10 n 10 n (n - 3) 4 n (n - 3) 8 n (n - 3) 8 n 7 n 6 n 131957 n (n - 3) 631165 n (n - 3) 655015 n (n - 3) - ------------------ + ------------------ - ------------------ n 10 n 10 n 10 8 n (n - 3) 12 n (n - 3) 6 n (n - 3) 5 n 4 n 3 n 140499 n (n - 3) 100668 n (n - 3) 30240 n (n - 3) + ------------------ - ------------------ + ----------------- n 10 n 10 n 10 n (n - 3) n (n - 3) n (n - 3) n 9 n 8 n 7 n 6 (n - 2) n 7 (n - 2) n 175 (n - 2) n 245 (n - 2) n + -------------- - ------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 12 (n - 2) n 4 (n - 2) n n 5 n 4 n 3 406 (n - 2) n 147 (n - 2) n 60 (n - 2) n + --------------- - --------------- + -------------- 7 n 7 n 7 n 3 (n - 2) n (n - 2) n (n - 2) n 15 n 5 28 n 5 27 n 5 2304 n ((n - 1) ) n ((n - 1) ) 37 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 23 n 5 23 n 5 23 n 5 (n - 1) (n ) 216 (n - 1) (n ) 216 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 157 n ((n - 1) ) 1079 n ((n - 1) ) 1675 n ((n - 1) ) + ------------------- - -------------------- + -------------------- 23 n 5 23 n 5 23 n 5 54 (n - 1) (n ) 36 (n - 1) (n ) 8 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 75355 n ((n - 1) ) 415945 n ((n - 1) ) 285220 n ((n - 1) ) - --------------------- + ---------------------- - ---------------------- 23 n 5 23 n 5 23 n 5 72 (n - 1) (n ) 108 (n - 1) (n ) 27 (n - 1) (n ) 20 n 5 19 n 5 18 n 5 583120 n ((n - 1) ) 292550 n ((n - 1) ) 105028 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 23 n 5 23 n 5 23 n 5 27 (n - 1) (n ) 9 (n - 1) (n ) 3 (n - 1) (n ) 17 n 5 16 n 5 21 n 7 25552 n ((n - 1) ) 11328 n ((n - 1) ) 31104 n ((n - 1) ) - --------------------- + --------------------- - --------------------- 23 n 5 23 n 5 31 n 7 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 3 n 7 n 190546836480000 n (n - 7) 2426585987596068 n (n - 7) + --------------------------- + ---------------------------- n 18 n 18 n (n - 7) n (n - 7) 6 n 5 n 2661897917245680 n (n - 7) 2000717027150400 n (n - 7) - ---------------------------- + ---------------------------- n 18 n 18 n (n - 7) n (n - 7) 4 n 25 n 24 n 915053723712000 n (n - 7) n (n - 7) 23 n (n - 7) - --------------------------- + ----------------- - ---------------- n 18 n 18 n 18 n (n - 7) 3456 n (n - 7) 432 n (n - 7) 22 n 21 n 20 n 15745 n (n - 7) 5305181 n (n - 7) 9210719 n (n - 7) - ------------------ + -------------------- - -------------------- n 18 n 18 n 18 64 n (n - 7) 576 n (n - 7) 36 n (n - 7) 19 n 18 n 9456009929 n (n - 7) 79745548045 n (n - 7) + ----------------------- - ------------------------ n 18 n 18 1728 n (n - 7) 864 n (n - 7) 17 n 16 n 4310848459861 n (n - 7) 163789818673 n (n - 7) + -------------------------- - ------------------------- n 18 n 18 3456 n (n - 7) 12 n (n - 7) 15 n 14 n 140218422776411 n (n - 7) 511166688327505 n (n - 7) + ---------------------------- - ---------------------------- n 18 n 18 1152 n (n - 7) 576 n (n - 7) 13 n 12 n 4572617718659479 n (n - 7) 11126905242813443 n (n - 7) + ----------------------------- - ------------------------------ n 18 n 18 864 n (n - 7) 432 n (n - 7) 11 n 10 n 21982461930405253 n (n - 7) 3884757196431085 n (n - 7) + ------------------------------ - ----------------------------- n 18 n 18 216 n (n - 7) 12 n (n - 7) 9 n 8 n 1637372327390387 n (n - 7) 1616382707540979 n (n - 7) + ---------------------------- - ---------------------------- n 18 n 18 2 n (n - 7) n (n - 7) 30 n 2 n 29 n 2 n n ((n - 1) ) (n - 5) 19 n ((n - 1) ) (n - 5) + ---------------------------- - --------------------------- 9 n 3 14 9 n 3 14 288 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 28 n 2 n 25 n 2 n 6053 n ((n - 1) ) (n - 5) 2129715 n ((n - 1) ) (n - 5) + ----------------------------- - -------------------------------- 9 n 3 14 9 n 3 14 288 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 495579641 n ((n - 1) ) (n - 5) 419228137 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 9 n 3 14 9 n 3 14 144 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 22 n 2 n 81504356789 n ((n - 1) ) (n - 5) + ------------------------------------ 9 n 3 14 288 (n - 1) (n ) (n - 5) 21 n 2 n 88749272131 n ((n - 1) ) (n - 5) - ------------------------------------ 9 n 3 14 48 (n - 1) (n ) (n - 5) 20 n 2 n 941394654707 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 3 14 96 (n - 1) (n ) (n - 5) 19 n 2 n 42351729693 n ((n - 1) ) (n - 5) - ------------------------------------ 9 n 3 14 (n - 1) (n ) (n - 5) 18 n 2 n 10724606415877 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 14 72 (n - 1) (n ) (n - 5) 17 n 2 n 1275918235837 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 14 3 (n - 1) (n ) (n - 5) 16 n 2 n 17630959368275 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 14 18 (n - 1) (n ) (n - 5) 12 n 2 n 2340733730688 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 11 n 2 n 1323173152512 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 14 n 2 n 2597288989574 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 15 n 2 n 5400402655840 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 14 3 (n - 1) (n ) (n - 5) 10 n 2 n 461805857280 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 13 n 2 n 2870798265216 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 9 n 2 n 22 n 4 n 74724249600 n ((n - 1) ) (n - 5) 2475335 n ((n - 1) ) (n - 2) - ----------------------------------- + -------------------------------- 9 n 3 14 17 n 5 7 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2190996 n ((n - 1) ) (n - 2) 1298700 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 5 7 17 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 30 n 4 n 28 n 4 n n ((n - 1) ) (n - 2) 311 n ((n - 1) ) (n - 2) + --------------------------- + ---------------------------- 17 n 5 7 17 n 5 7 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 29 n 4 n 27 n 4 n 15 n ((n - 1) ) (n - 2) 11825 n ((n - 1) ) (n - 2) - --------------------------- - ------------------------------ 17 n 5 7 17 n 5 7 16 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 34157 n ((n - 1) ) (n - 2) 214385 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 17 n 5 7 17 n 5 7 16 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 3020495 n ((n - 1) ) (n - 2) 3602625 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 5 7 17 n 5 7 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 20 n 4 n 21 n 4 n 2099137 n ((n - 1) ) (n - 2) 15673375 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 17 n 5 7 17 n 5 7 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 469152 n ((n - 1) ) (n - 2) 2521815 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 17 n 5 7 17 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 3 n 77760 n ((n - 1) ) (n - 2) 55461375 n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------------- 17 n 5 7 13 n 4 9 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 48646435 n ((n - 1) ) (n - 3) 132434395 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 13 n 4 9 13 n 4 9 8 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 69710841 n ((n - 1) ) (n - 3) 112321337 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 13 n 4 9 13 n 4 9 2 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 67872834 n ((n - 1) ) (n - 3) 59459418 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 35589888 n ((n - 1) ) (n - 3) 12993696 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 22 n n 21 n n 14239 n (n - 1) (n - 5) 609733 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 5 n 2 14 5 n 2 14 8 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 20 n n 19 n n 9558757 n (n - 1) (n - 5) 85305773 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 14 5 n 2 14 16 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 18 n n 17 n n 1576282279 n (n - 1) (n - 5) 15294678035 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 5 n 2 14 5 n 2 14 24 (n - 1) (n ) (n - 5) 32 (n - 1) (n ) (n - 5) 16 n n 15 n n 88414895855 n (n - 1) (n - 5) 203776053611 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 32 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 14 n n 13 n n 187189517411 n (n - 1) (n - 5) 409367051381 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 4 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 729666921024 n (n - 1) (n - 5) 488886368256 n (n - 1) (n - 5) - --------------------------------- + --------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 555481421523 n (n - 1) (n - 5) 1877133244513 n (n - 1) (n - 5) - ---------------------------------- + ----------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 7 n n 10 n n 199767824640 n (n - 1) (n - 5) 745862303712 n (n - 1) (n - 5) - --------------------------------- + ---------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 24 n n 37362124800 n (n - 1) (n - 5) n (n - 1) (n - 5) + -------------------------------- - --------------------------- 5 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 23 n n 21 n 3 n 35 n (n - 1) (n - 5) 31844836039 n ((n - 1) ) (n - 4) + --------------------------- + ------------------------------------ 4 n 2 14 14 n 4 11 16 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 4) 20 n 3 n 121959726485 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 4 11 36 (n - 1) (n ) (n - 4) 19 n 3 n 125613008627 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 11 18 (n - 1) (n ) (n - 4) 18 n 3 n 34453786153 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 11 3 (n - 1) (n ) (n - 4) 17 n 3 n 14866634174 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 11 (n - 1) (n ) (n - 4) 16 n 3 n 14780275380 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 11 (n - 1) (n ) (n - 4) 15 n 3 n 10873602576 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 11 (n - 1) (n ) (n - 4) 14 n 3 n 5566370112 n ((n - 1) ) (n - 4) - ----------------------------------- 14 n 4 11 (n - 1) (n ) (n - 4) 13 n 3 n 1766810880 n ((n - 1) ) (n - 4) + ----------------------------------- 14 n 4 11 (n - 1) (n ) (n - 4) 24 n 3 n 12 n 3 n 2186235047 n ((n - 1) ) (n - 4) 261273600 n ((n - 1) ) (n - 4) - ----------------------------------- - ---------------------------------- 14 n 4 11 14 n 4 11 96 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 31 n 3 n 30 n 3 n 83 n ((n - 1) ) (n - 4) 535 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 14 n 4 11 14 n 4 11 288 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 32 n 3 n 29 n 3 n n ((n - 1) ) (n - 4) 2137 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 14 n 4 11 14 n 4 11 288 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n 213623 n ((n - 1) ) (n - 4) 2630677 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 14 n 4 11 14 n 4 11 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 31 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 211 n ((n - 1) ) (n - 2) 1661 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 16745 n ((n - 1) ) (n - 2) 56455 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 16106 n ((n - 1) ) (n - 2) 24546 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 23868 n ((n - 1) ) (n - 2) 13338 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n n 3240 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - ------------------------- 8 n 3 7 4 n 2 9 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 16 n n 15 n n 43 n (n - 1) (n - 3) 407 n (n - 1) (n - 3) + ------------------------- - ------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n 4473 n (n - 1) (n - 3) 63369 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 303555 n (n - 1) (n - 3) 250682 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 570596 n (n - 1) (n - 3) 876200 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 863268 n (n - 1) (n - 3) 490032 n (n - 1) (n - 3) + --------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 10 n 120960 n (n - 1) (n - 3) 200703041 n (n - 4) + --------------------------- + ---------------------- 4 n 2 9 n 12 (n - 1) (n ) (n - 3) 48 n (n - 4) 6 n 5 n 8 n 219724484 n (n - 4) 225770979 n (n - 4) 181682347 n (n - 4) + --------------------- - --------------------- + --------------------- n 12 n 12 n 12 n (n - 4) n (n - 4) 3 n (n - 4) 9 n 4 n 15 n 899631271 n (n - 4) 134581860 n (n - 4) 497 n (n - 4) - --------------------- + --------------------- - ---------------- n 12 n 12 n 12 48 n (n - 4) n (n - 4) 48 n (n - 4) 16 n 14 n 12 n 7 n (n - 4) 15827 n (n - 4) 1242087 n (n - 4) + --------------- + ------------------ + -------------------- n 12 n 12 n 12 48 n (n - 4) 48 n (n - 4) 16 n (n - 4) 11 n 13 n 7 n 10781617 n (n - 4) 298837 n (n - 4) 417017447 n (n - 4) - --------------------- - ------------------- - --------------------- n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 3 n (n - 4) 3 n 23 n 25 n 7 34927200 n (n - 4) 15853 n (n - 7) 1624413 n ((n - 1) ) - -------------------- + ------------------ - ----------------------- n 12 n 18 31 n 7 n (n - 4) 3456 n (n - 7) (n - 1) (n ) 24 n 7 23 n 7 1213362 n ((n - 1) ) 631800 n ((n - 1) ) + ----------------------- - ---------------------- 31 n 7 31 n 7 (n - 1) (n ) (n - 1) (n ) 22 n 7 38 n 7 37 n 7 204768 n ((n - 1) ) n ((n - 1) ) 47 n ((n - 1) ) + ---------------------- + ------------------- - ------------------- 31 n 7 31 n 7 31 n 7 (n - 1) (n ) 576 (n - 1) (n ) 576 (n - 1) (n ) 36 n 7 35 n 7 34 n 7 115 n ((n - 1) ) 14183 n ((n - 1) ) 135457 n ((n - 1) ) + ------------------- - --------------------- + ---------------------- 31 n 7 31 n 7 31 n 7 64 (n - 1) (n ) 576 (n - 1) (n ) 576 (n - 1) (n ) 33 n 7 32 n 7 318955 n ((n - 1) ) 5176913 n ((n - 1) ) - ---------------------- + ----------------------- 31 n 7 31 n 7 192 (n - 1) (n ) 576 (n - 1) (n ) 31 n 7 30 n 7 21911629 n ((n - 1) ) 4080805 n ((n - 1) ) - ------------------------ + ----------------------- 31 n 7 31 n 7 576 (n - 1) (n ) 32 (n - 1) (n ) 29 n 7 28 n 7 49036915 n ((n - 1) ) 52153897 n ((n - 1) ) - ------------------------ + ------------------------ 31 n 7 31 n 7 144 (n - 1) (n ) 72 (n - 1) (n ) 27 n 7 26 n 7 33 n 6 14645099 n ((n - 1) ) 3217515 n ((n - 1) ) n ((n - 1) ) - ------------------------ + ----------------------- - ------------------- 31 n 7 31 n 7 27 n 6 12 (n - 1) (n ) 2 (n - 1) (n ) 288 (n - 1) (n ) 32 n 6 31 n 6 30 n 6 7 n ((n - 1) ) 91 n ((n - 1) ) 2459 n ((n - 1) ) + ------------------ - ------------------ + -------------------- 27 n 6 27 n 6 27 n 6 48 (n - 1) (n ) 32 (n - 1) (n ) 72 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 27121 n ((n - 1) ) 81839 n ((n - 1) ) 2233565 n ((n - 1) ) - --------------------- + --------------------- - ----------------------- 27 n 6 27 n 6 27 n 6 96 (n - 1) (n ) 48 (n - 1) (n ) 288 (n - 1) (n ) 26 n 6 25 n 6 27075 n ((n - 1) ) 1755425 n ((n - 1) ) + --------------------- - ----------------------- 27 n 6 27 n 6 (n - 1) (n ) 24 (n - 1) (n ) 24 n 6 23 n 6 2752285 n ((n - 1) ) 490679 n ((n - 1) ) + ----------------------- - ---------------------- 27 n 6 27 n 6 18 (n - 1) (n ) 2 (n - 1) (n ) 22 n 6 19 n 21 n 296724 n ((n - 1) ) 53199 n (n - 6) 67 n (n - 6) + ---------------------- - ------------------ - --------------- 27 n 6 n 16 n 16 (n - 1) (n ) 32 n (n - 6) 96 n (n - 6) 22 n 20 n 10 n n (n - 6) 2777 n (n - 6) 10200408258499 n (n - 6) + ---------------- + ----------------- + --------------------------- n 16 n 16 n 16 192 n (n - 6) 64 n (n - 6) 12 n (n - 6) 6 n 5 n 9806059434330 n (n - 6) 7817573417400 n (n - 6) + ------------------------- - ------------------------- n 16 n 16 n (n - 6) n (n - 6) 18 n 16 n 17 n 1407167 n (n - 6) 1205105411 n (n - 6) 13640609 n (n - 6) + -------------------- + ----------------------- - --------------------- n 16 n 16 n 16 32 n (n - 6) 96 n (n - 6) 16 n (n - 6) 15 n 14 n 6889842557 n (n - 6) 82706226551 n (n - 6) - ----------------------- + ------------------------ n 16 n 16 48 n (n - 6) 64 n (n - 6) 13 n 12 n 295455728997 n (n - 6) 3361024485221 n (n - 6) - ------------------------- + -------------------------- n 16 n 16 32 n (n - 6) 64 n (n - 6) 11 n 8 n 7601560019027 n (n - 6) 20577441930233 n (n - 6) - -------------------------- + -------------------------- n 16 n 16 32 n (n - 6) 4 n (n - 6) 9 n 4 n 28585837173611 n (n - 6) 3760840692000 n (n - 6) - -------------------------- + ------------------------- n 16 n 16 12 n (n - 6) n (n - 6) 7 n 3 n 16702332780171 n (n - 6) 817296480000 n (n - 6) - -------------------------- - ------------------------ n 16 n 16 2 n (n - 6) n (n - 6) 32 n 6 31 n 6 30 n 6 n ((n - 1) ) 19 n ((n - 1) ) 667 n ((n - 1) ) - ------------------- + ------------------ - ------------------- 26 n 6 26 n 6 26 n 6 192 (n - 1) (n ) 96 (n - 1) (n ) 192 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 112 n ((n - 1) ) 52691 n ((n - 1) ) 140135 n ((n - 1) ) + ------------------- - --------------------- + ---------------------- 26 n 6 26 n 6 26 n 6 3 (n - 1) (n ) 192 (n - 1) (n ) 96 (n - 1) (n ) 26 n 6 25 n 6 1112485 n ((n - 1) ) 836915 n ((n - 1) ) - ----------------------- + ---------------------- 26 n 6 26 n 6 192 (n - 1) (n ) 48 (n - 1) (n ) 24 n 6 23 n 6 1918615 n ((n - 1) ) 138945 n ((n - 1) ) - ----------------------- + ---------------------- 26 n 6 26 n 6 48 (n - 1) (n ) 2 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 360477 n ((n - 1) ) 84609 n ((n - 1) ) 54351 n ((n - 1) ) - ---------------------- + --------------------- - --------------------- 26 n 6 26 n 6 26 n 6 4 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 19 n 6 20 n n 21384 n ((n - 1) ) 589 n (n - 1) (n - 4) + --------------------- - --------------------------- 26 n 6 4 n 2 13 (n - 1) (n ) 36 (n - 1) (n ) (n - 4) 19 n n 18 n n 42943 n (n - 1) (n - 4) 176551 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 4 n 2 13 4 n 2 13 108 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 17 n n 16 n n 2775097 n (n - 1) (n - 4) 72715357 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 4 n 2 13 4 n 2 13 36 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 15 n n 14 n n 479616709 n (n - 1) (n - 4) 1608375197 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 4 n 2 13 4 n 2 13 108 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 13 n n 9 n n 9279725741 n (n - 1) (n - 4) 1049011628 n (n - 1) (n - 4) + -------------------------------- + ------------------------------- 4 n 2 13 4 n 2 13 108 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 11 n n 816878592 n (n - 1) (n - 4) 555423726 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 12 n n 7 n n 6796527335 n (n - 1) (n - 4) 380796480 n (n - 1) (n - 4) - -------------------------------- + ------------------------------ 4 n 2 13 4 n 2 13 27 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 10 n n 6 n n 2712659350 n (n - 1) (n - 4) 79833600 n (n - 1) (n - 4) - -------------------------------- - ----------------------------- 4 n 2 13 4 n 2 13 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n n 34 n 4 n n (n - 1) (n - 4) n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 4 n 2 13 17 n 5 10 216 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 3) 33 n 4 n 32 n 4 n 71 n ((n - 1) ) (n - 3) 1171 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 17 n 5 10 17 n 5 10 288 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 4 n 21610231 n ((n - 1) ) (n - 3) 1705733173 n ((n - 1) ) (n - 3) - --------------------------------- + ----------------------------------- 17 n 5 10 17 n 5 10 18 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 3977 n ((n - 1) ) (n - 3) 336893 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 17 n 5 10 17 n 5 10 24 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 3502787 n ((n - 1) ) (n - 3) 13912627 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 17 n 5 10 17 n 5 10 144 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 25 n 4 n 749170995 n ((n - 1) ) (n - 3) - ---------------------------------- 17 n 5 10 32 (n - 1) (n ) (n - 3) 24 n 4 n 10725243283 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 5 10 144 (n - 1) (n ) (n - 3) 23 n 4 n 13734154079 n ((n - 1) ) (n - 3) - ------------------------------------ 17 n 5 10 72 (n - 1) (n ) (n - 3) 22 n 4 n 14102723219 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 5 10 36 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 3837377263 n ((n - 1) ) (n - 3) 818023597 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 17 n 5 10 17 n 5 10 6 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 800979498 n ((n - 1) ) (n - 3) 578886876 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 17 n 5 10 17 n 5 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 290557152 n ((n - 1) ) (n - 3) 90300096 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 17 n 5 10 17 n 5 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 28 n 3 n 13063680 n ((n - 1) ) (n - 3) 869615 n ((n - 1) ) (n - 4) - --------------------------------- - ------------------------------- 17 n 5 10 13 n 4 12 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 5731565 n ((n - 1) ) (n - 4) 115515751 n ((n - 1) ) (n - 4) + -------------------------------- - ---------------------------------- 13 n 4 12 13 n 4 12 48 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 29 n 3 n 19 n 3 n 48595 n ((n - 1) ) (n - 4) 556336842455 n ((n - 1) ) (n - 4) + ------------------------------ + ------------------------------------- 13 n 4 12 13 n 4 12 96 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 15 n 3 n 41479831350 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 12 (n - 1) (n ) (n - 4) 14 n 3 n 21844672272 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 12 (n - 1) (n ) (n - 4) 17 n 3 n 106396798935 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 12 2 (n - 1) (n ) (n - 4) 18 n 3 n 158597375635 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 12 4 (n - 1) (n ) (n - 4) 13 n 3 n 7116634080 n ((n - 1) ) (n - 4) + ----------------------------------- 13 n 4 12 (n - 1) (n ) (n - 4) 24 n 3 n 11442377669 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 12 192 (n - 1) (n ) (n - 4) 25 n 3 n 455743625 n ((n - 1) ) (n - 4) + ---------------------------------- 13 n 4 12 48 (n - 1) (n ) (n - 4) 23 n 3 n 28856093405 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 12 96 (n - 1) (n ) (n - 4) 21 n 3 n 388287979595 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 12 96 (n - 1) (n ) (n - 4) 20 n 3 n 172741027689 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 12 16 (n - 1) (n ) (n - 4) 22 n 3 n 235250080031 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 12 192 (n - 1) (n ) (n - 4) 16 n 3 n 54676279071 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 12 (n - 1) (n ) (n - 4) 12 n 3 n 31 n 3 n 1077753600 n ((n - 1) ) (n - 4) 15 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------- 13 n 4 12 13 n 4 12 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 30 n 3 n 32 n 3 n 3763 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ----------------------------- - ----------------------------- 13 n 4 12 13 n 4 12 192 (n - 1) (n ) (n - 4) 192 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n n ((n - 1) ) (n - 3) 3 n ((n - 1) ) (n - 3) + -------------------------- - -------------------------- 8 n 3 9 8 n 3 9 16 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 1035 n ((n - 1) ) (n - 3) 6637 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 8 n 3 9 8 n 3 9 16 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 39605 n ((n - 1) ) (n - 3) 2202743 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 13 n 4 10 13 n 4 10 8 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 23 n 3 n 29 n 3 n 15385759 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - --------------------------------- - ---------------------------- 13 n 4 10 13 n 4 10 48 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n 11 n ((n - 1) ) (n - 3) 1003 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 13 n 4 10 13 n 4 10 16 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 26 n 3 n 22 n 3 n 18649 n ((n - 1) ) (n - 3) 27578865 n ((n - 1) ) (n - 3) + ------------------------------ + --------------------------------- 13 n 4 10 13 n 4 10 48 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 21 n 3 n 20 n 3 n 693738115 n ((n - 1) ) (n - 3) 285126155 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 96 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 490250973 n ((n - 1) ) (n - 3) 369859453 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 382212567 n ((n - 1) ) (n - 3) 223438308 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 2 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 190241550 n ((n - 1) ) (n - 3) 111100896 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 39706848 n ((n - 1) ) (n - 3) 6531840 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n n ((n - 1) ) (n - 2) 35 n ((n - 1) ) (n - 2) + -------------------------- - --------------------------- 9 n 3 7 9 n 3 7 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 91 n ((n - 1) ) (n - 2) 835 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 9 n 3 7 9 n 3 7 2 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 10011 n ((n - 1) ) (n - 2) 41145 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 88667 n ((n - 1) ) (n - 2) 177940 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 9 n 3 7 9 n 3 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 81368 n ((n - 1) ) (n - 2) 72540 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 37728 n ((n - 1) ) (n - 2) 8640 n ((n - 1) ) (n - 2) + ------------------------------ - ---------------------------- 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n n 19 n n 27211 n (n - 1) (n - 4) 1311 n (n - 1) (n - 4) + --------------------------- - -------------------------- 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 17 n n 15 n n 94918 n (n - 1) (n - 4) 27484633 n (n - 1) (n - 4) - --------------------------- - ------------------------------ 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 14 n n 16 n n 149801113 n (n - 1) (n - 4) 3769227 n (n - 1) (n - 4) + ------------------------------- + ----------------------------- 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 10 n n 6 n n 1850081394 n (n - 1) (n - 4) 179625600 n (n - 1) (n - 4) + -------------------------------- + ------------------------------ 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n n 20 n n n (n - 1) (n - 4) 19 n (n - 1) (n - 4) - -------------------------- + -------------------------- 4 n 2 12 4 n 2 12 8 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 15 n 2 n 14 n 2 n 79378283 n ((n - 1) ) (n - 3) 155571668 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 9 n 3 10 9 n 3 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 75103258 n ((n - 1) ) (n - 3) 25921836 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 18102048 n ((n - 1) ) (n - 3) 7614144 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 12 n 4 1451520 n ((n - 1) ) (n - 3) 192 n ((n - 1) ) - ------------------------------- + ------------------- 9 n 3 10 19 n 4 (n - 1) (n ) (n - 3) (n - 1) (n ) 26 n 2 n 25 n 2 n n ((n - 1) ) (n - 4) 37 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 9 n 3 11 9 n 3 11 48 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 24 n 2 n 22 n 2 n 1259 n ((n - 1) ) (n - 4) 185899 n ((n - 1) ) (n - 4) + ----------------------------- + ------------------------------- 9 n 3 11 9 n 3 11 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 23 n 2 n 12 n 11 n 26161 n ((n - 1) ) (n - 4) 7 n (n - 3) 133 n (n - 3) - ------------------------------ + -------------- - ---------------- 9 n 3 11 n 9 n 9 24 (n - 1) (n ) (n - 4) 24 n (n - 3) 12 n (n - 3) 10 n 9 n 8 n 721 n (n - 3) 3283 n (n - 3) 73549 n (n - 3) + ---------------- - ---------------- + ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) 8 n (n - 3) 7 n 6 n 5 n 130879 n (n - 3) 442211 n (n - 3) 302603 n (n - 3) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 4 n (n - 3) 6 n (n - 3) 3 n (n - 3) 4 n 3 n 22 n n 75684 n (n - 3) 23520 n (n - 3) 7 n (n - 1) (n - 4) + ----------------- - ----------------- - ---------------------------- n 9 n 9 5 n 2 12 n (n - 3) n (n - 3) 288 (n - 1) (n ) (n - 4) 21 n n 20 n n 35 n (n - 1) (n - 4) 10241 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 18 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 52053905 n ((n - 1) ) (n - 3) 327020135 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 6 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 202145236 n ((n - 1) ) (n - 3) 391164701 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 585031016 n ((n - 1) ) (n - 3) 220633836 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 182285040 n ((n - 1) ) (n - 3) 103568832 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 36101376 n ((n - 1) ) (n - 3) 5806080 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 27 n 2 n 26 n 2 n n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 4) + ---------------------------- - ---------------------------- 10 n 3 11 10 n 3 11 96 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 25 n 2 n 23 n 2 n 469 n ((n - 1) ) (n - 4) 79407 n ((n - 1) ) (n - 4) + ---------------------------- + ------------------------------ 10 n 3 11 10 n 3 11 16 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 22 n 2 n 24 n 2 n 1774213 n ((n - 1) ) (n - 4) 10399 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------ 10 n 3 11 10 n 3 11 16 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 98692925 n ((n - 1) ) (n - 4) 1018969465 n ((n - 1) ) (n - 4) - --------------------------------- + ----------------------------------- 10 n 3 11 10 n 3 11 16 (n - 1) (n ) (n - 4) 32 (n - 1) (n ) (n - 4) 18 n 2 n 1041537805 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 8 (n - 1) (n ) (n - 4) 17 n 2 n 3380813193 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 8 (n - 1) (n ) (n - 4) 16 n 2 n 2172885811 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 2 (n - 1) (n ) (n - 4) 15 n 2 n 13172916709 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 11 6 (n - 1) (n ) (n - 4) 14 n 2 n 3439413414 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 13 n 2 n 4083802374 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 12 n 2 n 3544410168 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 2115961056 n ((n - 1) ) (n - 4) 774541440 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 10 n 3 11 10 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 9 n 2 n 45084083 n ((n - 1) ) (n - 4) 130636800 n ((n - 1) ) (n - 4) + --------------------------------- + --------------------------------- 10 n 3 11 10 n 3 11 48 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 16 n n 15 n n 1201 n (n - 1) (n - 3) 1356 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 10 4 n 2 10 12 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 47961 n (n - 1) (n - 3) 72823 n (n - 1) (n - 3) - --------------------------- + --------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n n 11 n n 3734723 n (n - 1) (n - 3) 2826734 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 4 n 2 10 4 n 2 10 12 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 6011564 n (n - 1) (n - 3) 2916356 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 2753148 n (n - 1) (n - 3) 1510416 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 362880 n (n - 1) (n - 3) n (n - 1) (n - 3) - --------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 17 n n 13 n n 13 n (n - 1) (n - 3) 30520911575 n (n - 1) (n - 4) + -------------------------- + --------------------------------- 4 n 2 10 5 n 2 12 3 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 4) 9 n n 8 n n 2064932835 n (n - 1) (n - 4) 1538662776 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 21812703955 n (n - 1) (n - 4) 20971036807 n (n - 1) (n - 4) + --------------------------------- - --------------------------------- 5 n 2 12 5 n 2 12 18 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 7 n n 18 n n 689678640 n (n - 1) (n - 4) 854903 n (n - 1) (n - 4) + ------------------------------ - ---------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 19 n n 17 n n 227185 n (n - 1) (n - 4) 37015405 n (n - 1) (n - 4) + ---------------------------- + ------------------------------ 5 n 2 12 5 n 2 12 144 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 15 n n 14 n n 1818177515 n (n - 1) (n - 4) 16998154481 n (n - 1) (n - 4) + -------------------------------- - --------------------------------- 5 n 2 12 5 n 2 12 144 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 4) 16 n n 10 n n 297930787 n (n - 1) (n - 4) 11215496831 n (n - 1) (n - 4) - ------------------------------- - --------------------------------- 5 n 2 12 5 n 2 12 144 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 6 n n 27 n 2 n 139708800 n (n - 1) (n - 4) 13031 n ((n - 1) ) (n - 5) - ------------------------------ - ------------------------------ 5 n 2 12 10 n 3 13 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 5) 26 n 2 n 25 n 2 n 551507 n ((n - 1) ) (n - 5) 2879733 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 10 n 3 13 10 n 3 13 192 (n - 1) (n ) (n - 5) 64 (n - 1) (n ) (n - 5) 16 n 2 n 871784031844 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 13 9 (n - 1) (n ) (n - 5) 12 n 2 n 197205591744 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 11 n 2 n 107854326144 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 24 n 2 n 22 n 2 n 38998795 n ((n - 1) ) (n - 5) 44863538213 n ((n - 1) ) (n - 5) + --------------------------------- + ------------------------------------ 10 n 3 13 10 n 3 13 72 (n - 1) (n ) (n - 5) 1152 (n - 1) (n ) (n - 5) 23 n 2 n 123215897 n ((n - 1) ) (n - 5) - ---------------------------------- 10 n 3 13 24 (n - 1) (n ) (n - 5) 21 n 2 n 91762354391 n ((n - 1) ) (n - 5) - ------------------------------------ 10 n 3 13 384 (n - 1) (n ) (n - 5) 20 n 2 n 14327444521 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 13 12 (n - 1) (n ) (n - 5) 19 n 2 n 155927312385 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 13 32 (n - 1) (n ) (n - 5) 23 n 4 n 22 n 4 n 28064335 n ((n - 1) ) (n - 2) 17059955 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 19 n 5 6 19 n 5 6 72 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 4 n 31 n 4 n 16168316 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + --------------------------------- + ---------------------------- 19 n 5 6 19 n 5 6 9 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 30 n 4 n 27 n 2 n 47 n ((n - 1) ) (n - 2) 8293 n ((n - 1) ) (n - 5) - ---------------------------- - ----------------------------- 19 n 5 6 9 n 3 14 144 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 5) 26 n 2 n 15 n n 757625 n ((n - 1) ) (n - 5) n (n - 1) (n - 2) + ------------------------------- - -------------------------- 9 n 3 14 5 n 2 7 48 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 12 n n 11 n n 120 n (n - 1) (n - 2) 4431 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 10 n n 9 n n 6615 n (n - 1) (n - 2) 19115 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 4 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 8 n n 7 n n 3805 n (n - 1) (n - 2) 2544 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 6 n n 720 n (n - 1) (n - 2) 5443200 n (n - 1) (n - 4) + ------------------------ - ---------------------------- 5 n 2 7 4 n 2 11 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 17 n n 16 n n 33445 n (n - 1) (n - 4) 130483 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n n 14 n n 1077505 n (n - 1) (n - 4) 19411601 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 12 n n 86074615 n (n - 1) (n - 4) 141539057 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 85850710 n (n - 1) (n - 4) 50390708 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 4 n 2 11 4 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 62396010 n (n - 1) (n - 4) 51296364 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 18 n n 25014960 n (n - 1) (n - 4) 1907 n (n - 1) (n - 4) + ----------------------------- - --------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 70707371 n ((n - 1) ) (n - 3) 150879071 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 288 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 30686992 n ((n - 1) ) (n - 3) 152256013 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 285492683 n ((n - 1) ) (n - 3) 198576707 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 18 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 66082324 n ((n - 1) ) (n - 3) 14884464 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 6078912 n ((n - 1) ) (n - 3) 1128960 n ((n - 1) ) (n - 3) + -------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 1937682 n ((n - 1) ) (n - 3) 886248 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 16 n 2 n 181440 n ((n - 1) ) (n - 3) 2900717 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 4558677 n ((n - 1) ) (n - 3) 1308318 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 2166961 n ((n - 1) ) (n - 3) 2515893 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - --------------------------- + -------------------------- 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 583 n ((n - 1) ) (n - 2) 2809 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 35887 n ((n - 1) ) (n - 2) 20014 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 24 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 18 n 3 n 17 n 3 n 170531 n ((n - 1) ) (n - 2) 589669 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 12 n 4 7 12 n 4 7 8 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 16 n 3 n 15 n 3 n 81078 n ((n - 1) ) (n - 2) 93318 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 14 n 3 n 13 n 3 n 71046 n ((n - 1) ) (n - 2) 32076 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 18 n 2 n 6480 n ((n - 1) ) (n - 2) 112983 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 12 n 4 7 8 n 3 9 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 3) 17 n 2 n 21 n n 168519 n ((n - 1) ) (n - 3) 11 n (n - 1) (n - 4) - ------------------------------- + --------------------------- 8 n 3 9 4 n 2 13 4 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 4) 27 n 2 n 26 n 2 n n ((n - 1) ) (n - 4) 85 n ((n - 1) ) (n - 4) + --------------------------- - --------------------------- 9 n 3 12 9 n 3 12 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 833 n ((n - 1) ) (n - 4) 20005 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 9 n 3 12 9 n 3 12 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 23 n 2 n 25 n n 659569 n ((n - 1) ) (n - 4) n (n - 1) (n - 5) + ------------------------------- - --------------------------- 9 n 3 12 5 n 2 14 24 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 5) 24 n n 23 n n 109 n (n - 1) (n - 5) 917 n (n - 1) (n - 5) + --------------------------- - --------------------------- 5 n 2 14 5 n 2 14 96 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 22 n n 24 n n 2055287651 n (n - 1) (n - 6) 640865 n (n - 1) (n - 6) - -------------------------------- - ---------------------------- 5 n 2 16 5 n 2 16 576 (n - 1) (n ) (n - 6) 64 (n - 1) (n ) (n - 6) 25 n n 23 n n 397681 n (n - 1) (n - 6) 41362219 n (n - 1) (n - 6) + ----------------------------- + ------------------------------ 5 n 2 16 5 n 2 16 1152 (n - 1) (n ) (n - 6) 192 (n - 1) (n ) (n - 6) 13 n n 1643846493515179 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 16 72 (n - 1) (n ) (n - 6) 9 n n 78877866330720 n (n - 1) (n - 6) + ----------------------------------- 5 n 2 16 (n - 1) (n ) (n - 6) 8 n n 21 n n 48793214721600 n (n - 1) (n - 6) 26854884841 n (n - 1) (n - 6) - ----------------------------------- + --------------------------------- 5 n 2 16 5 n 2 16 (n - 1) (n ) (n - 6) 576 (n - 1) (n ) (n - 6) 19 n n 20 n n 4780191176515 n (n - 1) (n - 6) 562746988469 n (n - 1) (n - 6) + ----------------------------------- - ---------------------------------- 5 n 2 16 5 n 2 16 1152 (n - 1) (n ) (n - 6) 1152 (n - 1) (n ) (n - 6) 18 n n 11050064459317 n (n - 1) (n - 6) - ------------------------------------ 5 n 2 16 384 (n - 1) (n ) (n - 6) 17 n n 62800987750111 n (n - 1) (n - 6) + ------------------------------------ 5 n 2 16 384 (n - 1) (n ) (n - 6) 16 n n 109799538498281 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 16 144 (n - 1) (n ) (n - 6) 15 n n 10 n 838517327476439 n (n - 1) (n - 6) 240488963 n (n - 5) + ------------------------------------- + ---------------------- 5 n 2 16 n 13 288 (n - 1) (n ) (n - 6) 6 n (n - 5) 6 n 5 n 18 n 1020978054 n (n - 5) 930374568 n (n - 5) n (n - 5) + ---------------------- - --------------------- + --------------- n 13 n 13 n 13 n (n - 5) n (n - 5) 96 n (n - 5) 16 n 17 n 15 n 3445 n (n - 5) 29 n (n - 5) 27425 n (n - 5) + ----------------- - --------------- - ------------------ n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 32 n (n - 5) 14 n 13 n 12 n 1323907 n (n - 5) 5062343 n (n - 5) 128154455 n (n - 5) + -------------------- - -------------------- + ---------------------- n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 96 n (n - 5) 11 n 8 n 9 n 269687275 n (n - 5) 1146586090 n (n - 5) 143400686 n (n - 5) - ---------------------- + ---------------------- - --------------------- n 13 n 13 n 13 32 n (n - 5) 3 n (n - 5) n (n - 5) 4 n 7 n 3 n 501340320 n (n - 5) 1487663125 n (n - 5) 119750400 n (n - 5) + --------------------- - ---------------------- - --------------------- n 13 n 13 n 13 n (n - 5) 2 n (n - 5) n (n - 5) 17 n 5 16 n 5 26 n 5 5715 n ((n - 1) ) 1431 n ((n - 1) ) n ((n - 1) ) - -------------------- + -------------------- + ------------------ 21 n 5 21 n 5 21 n 5 2 (n - 1) (n ) (n - 1) (n ) 96 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 29 n ((n - 1) ) 95 n ((n - 1) ) 495 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 21 n 5 21 n 5 21 n 5 96 (n - 1) (n ) 24 (n - 1) (n ) 16 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 15385 n ((n - 1) ) 55465 n ((n - 1) ) 71005 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 21 n 5 21 n 5 21 n 5 96 (n - 1) (n ) 96 (n - 1) (n ) 48 (n - 1) (n ) 19 n 5 18 n 5 23 n n 2690 n ((n - 1) ) 3405 n ((n - 1) ) 91 n (n - 1) (n - 5) - -------------------- + -------------------- - -------------------------- 21 n 5 21 n 5 4 n 2 15 (n - 1) (n ) (n - 1) (n ) 2 (n - 1) (n ) (n - 5) 21 n n 20 n n 860633 n (n - 1) (n - 5) 14652487 n (n - 1) (n - 5) - ---------------------------- + ------------------------------ 4 n 2 15 4 n 2 15 24 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 19 n n 18 n n 283430521 n (n - 1) (n - 5) 2831121839 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 4 n 2 15 4 n 2 15 36 (n - 1) (n ) (n - 5) 36 (n - 1) (n ) (n - 5) 17 n n 16 n n 9873099145 n (n - 1) (n - 5) 61354399535 n (n - 1) (n - 5) - -------------------------------- + --------------------------------- 4 n 2 15 4 n 2 15 16 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 15 n n 14 n n 227276963693 n (n - 1) (n - 5) 891703555327 n (n - 1) (n - 5) - ---------------------------------- + ---------------------------------- 4 n 2 15 4 n 2 15 12 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 13 n n 9 n n 2074603302412 n (n - 1) (n - 5) 1518689672016 n (n - 1) (n - 5) - ----------------------------------- - ---------------------------------- 4 n 2 15 4 n 2 15 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 11 n n 1061390153664 n (n - 1) (n - 5) 1049862673132 n (n - 1) (n - 5) + ---------------------------------- - ----------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 7 n n 5040997473533 n (n - 1) (n - 5) 450557372160 n (n - 1) (n - 5) + ----------------------------------- - --------------------------------- 4 n 2 15 4 n 2 15 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 1482284110828 n (n - 1) (n - 5) 87178291200 n (n - 1) (n - 5) + ----------------------------------- + -------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 25 n n 24 n n n (n - 1) (n - 5) 119 n (n - 1) (n - 5) - ---------------------------- + ---------------------------- 4 n 2 15 4 n 2 15 144 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 18 n 2 n 292400563651 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 13 18 (n - 1) (n ) (n - 5) 17 n 2 n 1058428840349 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 13 24 (n - 1) (n ) (n - 5) 14 n 2 n 235716420830 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 15 n 2 n 1021726174697 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 13 6 (n - 1) (n ) (n - 5) 10 n 2 n 36518376960 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 13 (n - 1) (n ) (n - 5) 13 n 2 n 250675085088 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 9 n 2 n 36 n 5 n 5748019200 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 2) - ---------------------------------- - ----------------------------- 10 n 3 13 21 n 6 8 (n - 1) (n ) (n - 5) 1152 (n - 1) (n ) (n - 2) 35 n 5 n 34 n 5 n 19 n ((n - 1) ) (n - 2) 757 n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 21 n 6 8 21 n 6 8 384 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 33 n 5 n 32 n 5 n 6227 n ((n - 1) ) (n - 2) 47419 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 21 n 6 8 21 n 6 8 288 (n - 1) (n ) (n - 2) 192 (n - 1) (n ) (n - 2) 31 n 5 n 30 n 5 n 1198409 n ((n - 1) ) (n - 2) 3859079 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 21 n 6 8 21 n 6 8 576 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 1079541 n ((n - 1) ) (n - 2) 310251325 n ((n - 1) ) (n - 2) + -------------------------------- - ---------------------------------- 21 n 6 8 21 n 6 8 16 (n - 1) (n ) (n - 2) 1152 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 989125405 n ((n - 1) ) (n - 2) 140270897 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 21 n 6 8 21 n 6 8 1152 (n - 1) (n ) (n - 2) 64 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 1287038093 n ((n - 1) ) (n - 2) 346748411 n ((n - 1) ) (n - 2) + ----------------------------------- - ---------------------------------- 21 n 6 8 21 n 6 8 288 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 73049607 n ((n - 1) ) (n - 2) 35300103 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 21 n 6 8 21 n 6 8 8 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 12581343 n ((n - 1) ) (n - 2) 3113073 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 21 n 6 8 21 n 6 8 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 953856 n ((n - 1) ) (n - 2) 136080 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 21 n 6 8 21 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 20 n 18 n 133 n (n - 5) 7 n (n - 5) 581 n (n - 5) - ---------------- + ---------------- + ---------------- n 15 n 15 n 15 144 n (n - 5) 864 n (n - 5) 12 n (n - 5) 17 n 16 n 15 n 37163 n (n - 5) 4867709 n (n - 5) 2135861 n (n - 5) - ------------------ + -------------------- - -------------------- n 15 n 15 n 15 24 n (n - 5) 144 n (n - 5) 4 n (n - 5) 14 n 13 n 340880449 n (n - 5) 4102741643 n (n - 5) + ---------------------- - ----------------------- n 15 n 15 54 n (n - 5) 72 n (n - 5) 12 n 11 n 12708008313 n (n - 5) 103019369453 n (n - 5) + ------------------------ - ------------------------- n 15 n 15 32 n (n - 5) 48 n (n - 5) 10 n 6 n 80841920341 n (n - 5) 164452912932 n (n - 5) + ------------------------ + ------------------------ n 15 n 15 9 n (n - 5) n (n - 5) 5 n 8 n 142320974768 n (n - 5) 3807887427463 n (n - 5) - ------------------------ + ------------------------- n 15 n 15 n (n - 5) 54 n (n - 5) 9 n 4 n 57807604127 n (n - 5) 73482265920 n (n - 5) - ----------------------- + ----------------------- n 15 n 15 2 n (n - 5) n (n - 5) 7 n 3 n 1147118884807 n (n - 5) 16951334400 n (n - 5) - ------------------------- - ----------------------- n 15 n 15 9 n (n - 5) n (n - 5) 18 n n 17 n n 7 n (n - 1) (n - 3) 329 n (n - 1) (n - 3) - -------------------------- + -------------------------- 5 n 2 9 5 n 2 9 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 16 n n 15 n n 3451 n (n - 1) (n - 3) 42707 n (n - 1) (n - 3) - -------------------------- + --------------------------- 5 n 2 9 5 n 2 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 14 n n 13 n n 231357 n (n - 1) (n - 3) 1299739 n (n - 1) (n - 3) - ---------------------------- + ----------------------------- 5 n 2 9 5 n 2 9 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 12 n n 11 n n 3879659 n (n - 1) (n - 3) 2753317 n (n - 1) (n - 3) - ----------------------------- + ----------------------------- 5 n 2 9 5 n 2 9 12 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 10 n n 9 n n 5527522 n (n - 1) (n - 3) 7644119 n (n - 1) (n - 3) - ----------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 2300144 n (n - 1) (n - 3) 1213968 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n 6 282240 n (n - 1) (n - 3) 3888 n ((n - 1) ) - --------------------------- - -------------------- 5 n 2 9 26 n 6 (n - 1) (n ) (n - 3) (n - 1) (n ) and in Maple notation -1/16*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+5/2*n^24*((n-1)^n)^3/(n -1)^13/(n^n)^4*(n-2)^n/(n-2)^7-727/16*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n /(n-2)^7+3975/8*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-58359/16*n^21 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+75915/4*n^20*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-2)^n/(n-2)^7-1152041/16*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/( n-2)^7-666477*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+474390*n^14*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-832903/2*n^17*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-2)^n/(n-2)^7+1612855/8*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2) ^7-202176*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+626445*n^16*((n-1)^ n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+38880*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*( n-2)^n/(n-2)^7+1/8*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-13/2*n^22*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+1227/8*n^21*((n-1)^n)^2/(n-1)^9/(n^n )^3*(n-3)^n/(n-3)^9-8707/4*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 166079/8*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-140751*n^18*((n-1)^n) ^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+5597021/8*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*( n-3)^n/(n-3)^9-10360111/4*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 7175313*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-14800466*n^14*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+22367474*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*( n-3)^n/(n-3)^9-24002508*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+ 17273952*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-7452864*n^10*((n-1)^n )^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+1451520*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 3)^n/(n-3)^9+69/16*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-2167/16*n^19*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-1/16*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4) ^n/(n-4)^11-525229/16*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+4798311/16* n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-32341661/16*n^15*(n-1)^n/(n-1)^5/ (n^n)^2*(n-4)^n/(n-4)^11+163721019/16*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4 )^11-313688287/8*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+227389767/2*n^12 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-247287482*n^11*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^11+395938263*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-\ 451320606*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+345300624*n^8*(n-1)^n/(n -1)^5/(n^n)^2*(n-4)^n/(n-4)^11-158254560*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n -4)^11+41073/16*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+32659200*n^6*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-57/16*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 3)^n/(n-3)^10+1467/16*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-22589/ 16*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+1/16*n^23*((n-1)^n)^2/(n-1 )^8/(n^n)^3*(n-3)^n/(n-3)^10+232449/16*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^10-1690923/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+8967401/ 16*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-35223807/16*n^16*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+51494637/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-3)^n/(n-3)^10-13941823*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+ 22018542*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-24580719*n^12*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+18325386*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^ 3*(n-3)^n/(n-3)^10-8157672*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+ 1632960*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10-1229898879/8*n^13*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-2212957422*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^12+1767824892*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-\ 1095529934*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1900332467/4*n^12*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-841823280*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4 )^n/(n-4)^12+10368*n^18*((n-1)^n)^6/(n-1)^27/(n^n)^6-324*n^15*((n-1)^n)^5/(n-1) ^21/(n^n)^5-293989/16*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+505765/864* n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-3302192543/432*n^22*(n-1)^n/(n-1) ^4/(n^n)^2*(n-6)^n/(n-6)^17+61540135/144*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/( n-6)^17-11231/864*n^26*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+46530717085/432 *n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-1049857566701/864*n^20*(n-1)^n/( n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+9584712725215/864*n^19*(n-1)^n/(n-1)^4/(n^n)^2* (n-6)^n/(n-6)^17-23764800433777/288*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^ 17+144542817364075/288*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-\ 539582477905669/216*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+ 2193772647798755/216*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-\ 906463088676208/27*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+ 4834214028032155/54*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+ 376330660134240*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-242462794147200*n^ 8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+950535824940850/3*n^11*(n-1)^n/(n-1) ^4/(n^n)^2*(n-6)^n/(n-6)^17-1712564505030046/9*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 6)^n/(n-6)^17+95850711936000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-\ 402880659390664*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-17435658240000*n^ 6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-1/864*n^28*(n-1)^n/(n-1)^4/(n^n)^2/( n-6)^17*(n-6)^n+155/864*n^27*(n-1)^n/(n-1)^4/(n^n)^2/(n-6)^17*(n-6)^n+34589689/ 9*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-37277965/72*n^26*((n-1)^n) ^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+1/1152*n^30*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-5)^n/(n-5)^13-35/384*n^29*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+643/ 144*n^28*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-42527/96*n^27*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+1/576*n^30*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5) ^n/(n-5)^15-4794335/24*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 1051925/96*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+802139741/288*n^24 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-4380146827/144*n^23*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+152282661589/576*n^22*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-5)^n/(n-5)^15-88702165123/48*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-\ 5)^15+2007139632407/192*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-\ 4608366343399/96*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 25764951886027/144*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-\ 38853359969129/72*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 47101371240325/36*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 3717411543144*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-2177076518496*n ^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+3807321566237*n^14*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-15138393688265/6*n^15*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^15+784808922240*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-\ 5)^15-4387135794678*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-\ 130767436800*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-31/144*n^29*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+7153/576*n^28*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-5)^n/(n-5)^15-1/864*n^32*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+49 /432*n^31*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-4451/864*n^30*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+6919/48*n^29*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-4)^n/(n-4)^13-1203671/432*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13 +8541913/216*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-1/6*n^14*(n-1)^ n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+13/3*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-\ 2)^7-143/3*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+868/3*n^11*(n-1)^n/(n-1 )^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/6*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7 +7147/3*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-3214*n^8*(n-1)^n/(n-1)^4/(n ^n)^2*(n-2)^n/(n-2)^7+2364*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-720*n^6* (n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+565/24*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3 *(n-3)^n/(n-3)^10-28457/72*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+ 322805/72*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+1/72*n^24*((n-1)^n) ^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-61/72*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3 )^n/(n-3)^10-291191/8*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+ 15731093/72*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-71093411/72*n^17* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+13549139/4*n^16*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-3)^n/(n-3)^10-2366681/72*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n /(n-2)^7+3916937/36*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+697844*n^ 15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-466608*n^14*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-2)^n/(n-2)^7+4584502/9*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/ (n-2)^7-2445758/9*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+188352*n^13 *((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-704946*n^16*((n-1)^n)^3/(n-1)^14/ (n^n)^4*(n-2)^n/(n-2)^7-34560*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7 -55503416945/12*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-17805076740*n ^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+10988638848*n^11*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-16013212725*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -4)^n/(n-4)^12+29374731527/3*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-\ 4145670720*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+5994351/2*n^21*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-7925225/24*n^22*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-4)^n/(n-4)^12-63034355/3*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-\ 4)^12-23978675105/48*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+ 20534512039/12*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+5536442725/48* n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+19781848956*n^13*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+718502400*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4 )^n/(n-4)^12-48440479945/288*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+ 4892228601/8*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-125797331777/72* n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-8069444406*n^12*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+5163815664*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-\ 4)^n/(n-4)^13-13353979351/2*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+ 23362550195/6*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-2012960160*n^10 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+8615441574*n^13*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^13+359251200*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^13-31/96*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+995/72*n^25*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-26021/72*n^24*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-4)^n/(n-4)^13+3079/2*n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-1/72 *n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+11/18*n^25*((n-1)^n)^3/(n-1) ^14/(n^n)^4*(n-2)^n/(n-2)^7-887/72*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n -2)^7+5429/36*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7-30053/24*n^22*( (n-1)^n)^3/(n-1)^14/(n^n)^4*(n-2)^n/(n-2)^7+22379/3*n^21*((n-1)^n)^3/(n-1)^14/( n^n)^4*(n-2)^n/(n-2)^7+1/192*n^34*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-\ 11/32*n^33*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+127/12*n^32*((n-1)^n)^4 /(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+3068328479/48*n^24*((n-1)^n)^4/(n-1)^18/(n^n) ^5*(n-3)^n/(n-3)^9-3784842167/24*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3 )^9+1251241979/4*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-2967022397/6 *n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+613879063*n^20*((n-1)^n)^4/( n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-584699262*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-\ 3)^n/(n-3)^9+411913944*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-\ 201931488*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+61409664*n^16*((n-1 )^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-8709120*n^15*((n-1)^n)^4/(n-1)^18/(n^n) ^5*(n-3)^n/(n-3)^9-9701/48*n^31*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+ 257723/96*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-632713/24*n^29*((n-\ 1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+9529367/48*n^28*((n-1)^n)^4/(n-1)^18/( n^n)^5*(n-3)^n/(n-3)^9-56327129/48*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n -3)^9+1061011313/192*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-\ 2008184915/96*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+3481771215/32*n ^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-20233912831/48*n^22*((n-1)^n) ^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-341/72*n^34*((n-1)^n)^5/(n-1)^22/(n^n)^6*( n-2)^n/(n-2)^7-1/288*n^36*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+3/16*n^ 35*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+421350223/36*n^25*((n-1)^n)^5/( n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+15108372*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2 )^n/(n-2)^7-7344432*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+2677/36*n ^33*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+473809/72*n^31*((n-1)^n)^5/(n-\ 1)^22/(n^n)^6*(n-2)^n/(n-2)^7-13013/16*n^32*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^ n/(n-2)^7-1469617/36*n^30*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+595559/3 *n^29*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7-220943485/288*n^28*((n-1)^n) ^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+341763155/144*n^27*((n-1)^n)^5/(n-1)^22/(n^ n)^6*(n-2)^n/(n-2)^7-141391133/24*n^26*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-\ 2)^7+22827357*n^23*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7-110811643/6*n^ 24*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7+2213568*n^19*((n-1)^n)^5/(n-1)^ 22/(n^n)^6*(n-2)^n/(n-2)^7-21607818*n^22*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/( n-2)^7-311040*n^18*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7-1/3456*n^32*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^10+77/3456*n^31*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-4)^n/(n-4)^10-77/96*n^30*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^10 +5171/288*n^29*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^10-161491/576*n^28*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^10+1870259/576*n^27*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-4)^n/(n-4)^10-12504071/432*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4 )^n/(n-4)^10+10984247/54*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^10-\ 1318755751/1152*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^10+6002696323/ 1152*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^10-5555529253/288*n^22*((n 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54*n^22*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^8-1688579251/27*n^21*((n-1)^ n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^8+680909986/9*n^20*((n-1)^n)^4/(n-1)^19/(n^ n)^5*(n-3)^n/(n-3)^8-211050380/3*n^19*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3 )^8+48468096*n^18*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^8-23274624*n^17*(( n-1)^n)^4/(n-1)^19/(n^n)^5*(n-3)^n/(n-3)^8-1/576*n^36*((n-1)^n)^5/(n-1)^23/(n^n )^6*(n-2)^n/(n-2)^6+13/144*n^35*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-\ 317/144*n^34*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-102157/288*n^32*((n-1 )^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6+100393/36*n^31*((n-1)^n)^5/(n-1)^23/(n^ n)^6*(n-2)^n/(n-2)^6+301/9*n^33*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6+ 131372315/144*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-319465819/144*n ^26*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6+77824891/18*n^25*((n-1)^n)^5/( n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-241236683/36*n^24*((n-1)^n)^5/(n-1)^23/(n^n)^6* (n-2)^n/(n-2)^6+2875031/36*n^29*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-\ 173635165/576*n^28*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-404173/24*n^30* ((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-2508192*n^20*((n-1)^n)^5/(n-1)^23/ (n^n)^6*(n-2)^n/(n-2)^6+746496*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^ 6-7589949*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6+5230128*n^21*((n-1) ^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-103680*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^6 *(n-2)^n/(n-2)^6+8144779*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^6-1/ 192*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+1/2*n^23*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^13-709/32*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+ 17747927041/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+26662512672*n^9*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-18220795776*n^8*(n-1)^n/(n-1)^5/(n^n)^2*( n-5)^n/(n-5)^13+19261/32*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+4887337/ 32*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-89835/8*n^20*(n-1)^n/(n-1)^5/( n^n)^2*(n-5)^n/(n-5)^13-150616949/96*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5) ^13+1/96*n^31*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-49/96*n^30*((n-1)^n) ^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+371/32*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n -2)^n/(n-2)^7-15557/96*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+149771 /96*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-351013/32*n^26*((n-1)^n)^ 4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+5593115/96*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-2)^n/(n-2)^7-22889855/96*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+ 759745*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-45377395/24*n^22*((n-1 )^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-5031342*n^18*((n-1)^n)^4/(n-1)^18/(n^n) ^5*(n-2)^n/(n-2)^7+2831976*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-\ 10918363/2*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+10985393/3*n^21*(( n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-977184*n^16*((n-1)^n)^4/(n-1)^18/(n^ n)^5*(n-2)^n/(n-2)^7+6139128*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+ 155520*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+61/48*n^28*((n-1)^n)^3 /(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-1721/48*n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-\ 3)^n/(n-3)^9+29833/48*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-355955/ 48*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+3102931/48*n^24*((n-1)^n)^ 3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-6822361/16*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4 *(n-3)^n/(n-3)^9+104355515/48*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9 -1/48*n^29*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-652629515245415/72*n^14 *(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+145555695349997/2*n^11*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-6)^n/(n-6)^16-137945801919418/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-6) ^n/(n-6)^16+18584980848000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-\ 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16661682/(n^n)*n^5*(n-4)^n/(n-4)^11-10239480/(n^n)*n^4*(n-4)^n/(n-4)^11+1/8/(n^ n)*n^15*(n-4)^n/(n-4)^11+2721600/(n^n)*n^3*(n-4)^n/(n-4)^11+7/18*n^18*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-1409/144*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^10+5269/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-23219/16*n^15*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+30196/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3 )^n/(n-3)^10-7230227/144*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+6561457/ 36*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-4329625/9*n^11*(n-1)^n/(n-1)^5 /(n^n)^2*(n-3)^n/(n-3)^10+8198831/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^ 10-3604643/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+1043584*n^8*(n-1)^n/( n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-533712*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3 )^10+120960*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-13141163/864*n^20*((n-\ 1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+1760717/36*n^19*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-2)^n/(n-2)^6-12845959/108*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/( n-2)^6-7/864*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+49/144*n^25*((n-\ 1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-5677/864*n^24*((n-1)^n)^3/(n-1)^15/(n^ n)^4*(n-2)^n/(n-2)^6+1855/24*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-\ 534457/864*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+512897/144*n^21*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-187376*n^14*((n-1)^n)^3/(n-1)^15/(n^ n)^4*(n-2)^n/(n-2)^6+74368*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-\ 15897875/54*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+2569672/9*n^15*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6-13440*n^12*((n-1)^n)^3/(n-1)^15/(n^n )^4*(n-2)^n/(n-2)^6+652694/3*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^6+ 1/16/(n^n)*n^19*(n-5)^n/(n-5)^14-25/4/(n^n)*n^18*(n-5)^n/(n-5)^14+286/(n^n)*n^ 17*(n-5)^n/(n-5)^14-31765/4/(n^n)*n^16*(n-5)^n/(n-5)^14+1196741/8/(n^n)*n^15*(n -5)^n/(n-5)^14-8099455/4/(n^n)*n^14*(n-5)^n/(n-5)^14+40698229/2/(n^n)*n^13*(n-5 )^n/(n-5)^14-618767435/4/(n^n)*n^12*(n-5)^n/(n-5)^14+14365627133/16/(n^n)*n^11* (n-5)^n/(n-5)^14-3986760635/(n^n)*n^10*(n-5)^n/(n-5)^14-85218535620/(n^n)*n^6*( n-5)^n/(n-5)^14+75577258224/(n^n)*n^5*(n-5)^n/(n-5)^14-34274227715/(n^n)*n^8*(n -5)^n/(n-5)^14+13478425688/(n^n)*n^9*(n-5)^n/(n-5)^14-39823047360/(n^n)*n^4*(n-\ 5)^n/(n-5)^14+64144730199/(n^n)*n^7*(n-5)^n/(n-5)^14+9340531200/(n^n)*n^3*(n-5) ^n/(n-5)^14+1/288*n^27*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+310507/48*n ^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-12113969/144*n^22*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+29644759/36*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-4)^n/(n-4)^13-12404795/2*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+ 10493876965/288*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-261858*n^21*( (n-1)^n)^6/(n-1)^27/(n^n)^6+159192*n^20*((n-1)^n)^6/(n-1)^27/(n^n)^6-59616*n^19 *((n-1)^n)^6/(n-1)^27/(n^n)^6+1/144*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/( n-2)^7-13/48*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+343/72*n^19*((n-\ 1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1199/24*n^18*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-2)^n/(n-2)^7+16691/48*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-\ 27063/16*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+106051/18*n^15*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-44384/3*n^14*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-2)^n/(n-2)^7+238966/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-\ 99503/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+27324*n^11*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-13296*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2 )^n/(n-2)^7+2880*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1/144*n^19*(n -1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+1027/144*n^29*((n-1)^n)^4/(n-1)^19/(n^n) ^5*(n-2)^n/(n-2)^6-13847/144*n^28*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+ 128917/144*n^27*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-878621/144*n^26*(( n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+4533545/144*n^25*((n-1)^n)^4/(n-1)^ 19/(n^n)^5*(n-2)^n/(n-2)^6-18061045/144*n^24*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2) ^n/(n-2)^6+1293888*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-440064*n^ 16*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+8695034/3*n^19*((n-1)^n)^4/(n-1 )^19/(n^n)^5*(n-2)^n/(n-2)^6-2335168*n^18*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/ (n-2)^6+69120*n^15*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-23628337/9*n^20 *((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-1/288*n^29*((n-1)^n)^3/(n-1)^15/( n^n)^4*(n-3)^n/(n-3)^8+19/96*n^28*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-\ 503/96*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8+8215/96*n^26*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-30903/32*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4* (n-3)^n/(n-3)^8+767245/96*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^8-\ 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(n-2)^n/(n-2)^8-4057971/4*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+ 3611817/4*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-547101*n^17*((n-1)^ n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+201609*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5* (n-2)^n/(n-2)^8-34020*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-88549/ 12*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+498117/8*n^23*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-1/48*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3) ^n/(n-3)^10+31/24*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-293/8*n^26 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+15133/24*n^25*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-3)^n/(n-3)^10-9408355/24*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^ n/(n-3)^10+45103175/24*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-\ 110970905/16*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+237339595/12*n^ 19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-521394539/12*n^18*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+72774789*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n -3)^n/(n-3)^10-91113411*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+ 82422972*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-50791212*n^14*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+19036944*n^13*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-3)^n/(n-3)^10-3265920*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^ 10-81/32*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+94*n^24*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-16997/8*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4) ^n/(n-4)^12+1/32*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+4393369677/4 *n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+5739673068*n^12*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-3748922838*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -4)^n/(n-4)^12+4509135999*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-\ 20356459529/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1487266920*n^10 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-5830853/16*n^21*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-4)^n/(n-4)^12+523593/16*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/ (n-4)^12+3038050*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+3057725605/ 32*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-11747772685/32*n^17*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-38729955/2*n^19*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-4)^n/(n-4)^12-11966550183/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-\ 4)^12-269438400*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-847/8*n^22*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+12545/4*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-5 )^n/(n-5)^14-509373/8*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+7521265/8*n ^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-31370989/3*n^18*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^14+358115485/4*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 14-9564830275/16*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+50155574755/16*n ^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-103464904101/8*n^14*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-5)^n/(n-5)^14+41862306655*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-\ 5)^14+309673517400*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-220639772448*n^ 8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+203862517635*n^11*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^14-316386422902/3*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5 )^14+95213646720*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-295512772506*n^10 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-18681062400*n^6*(n-1)^n/(n-1)^4/(n^n) ^2*(n-5)^n/(n-5)^14+10475/288/(n^n)*n^21*(n-6)^n/(n-6)^17-25/48/(n^n)*n^22*(n-6 )^n/(n-6)^17+2258351/48/(n^n)*n^19*(n-6)^n/(n-6)^17-75415/48/(n^n)*n^20*(n-6)^n /(n-6)^17+1/288/(n^n)*n^23*(n-6)^n/(n-6)^17-8299315/8/(n^n)*n^18*(n-6)^n/(n-6)^ 17+2514603875/144/(n^n)*n^17*(n-6)^n/(n-6)^17-5510228615/24/(n^n)*n^16*(n-6)^n/ (n-6)^17+689068603301/288/(n^n)*n^15*(n-6)^n/(n-6)^17-957105541405/48/(n^n)*n^ 14*(n-6)^n/(n-6)^17+12815607813125/96/(n^n)*n^13*(n-6)^n/(n-6)^17-\ 11496585300265/16/(n^n)*n^12*(n-6)^n/(n-6)^17+55809768372661/18/(n^n)*n^11*(n-6 )^n/(n-6)^17-63930789769865/6/(n^n)*n^10*(n-6)^n/(n-6)^17-109809682911120/(n^n) *n^6*(n-6)^n/(n-6)^17+85894676913600/(n^n)*n^5*(n-6)^n/(n-6)^17-181321868222035 /3/(n^n)*n^8*(n-6)^n/(n-6)^17+519105720568475/18/(n^n)*n^9*(n-6)^n/(n-6)^17-\ 40660498368000/(n^n)*n^4*(n-6)^n/(n-6)^17+95616481117132/(n^n)*n^7*(n-6)^n/(n-6 )^17+8717829120000/(n^n)*n^3*(n-6)^n/(n-6)^17-1/432*n^23*((n-1)^n)^4/(n-1)^19/( n^n)^4+2/27*n^22*((n-1)^n)^4/(n-1)^19/(n^n)^4-77/72*n^21*((n-1)^n)^4/(n-1)^19/( n^n)^4+331/36*n^20*((n-1)^n)^4/(n-1)^19/(n^n)^4-7531/144*n^19*((n-1)^n)^4/(n-1) ^19/(n^n)^4+7439/36*n^18*((n-1)^n)^4/(n-1)^19/(n^n)^4-31249/54*n^17*((n-1)^n)^4 /(n-1)^19/(n^n)^4+31012/27*n^16*((n-1)^n)^4/(n-1)^19/(n^n)^4-14251/9*n^15*((n-1 )^n)^4/(n-1)^19/(n^n)^4+1444*n^14*((n-1)^n)^4/(n-1)^19/(n^n)^4-784*n^13*((n-1)^ n)^4/(n-1)^19/(n^n)^4+1/432/(n^n)*n^17*(n-4)^n/(n-4)^13-83/432/(n^n)*n^16*(n-4) ^n/(n-4)^13+3113/432/(n^n)*n^15*(n-4)^n/(n-4)^13-69823/432/(n^n)*n^14*(n-4)^n/( n-4)^13+348205/144/(n^n)*n^13*(n-4)^n/(n-4)^13-3669523/144/(n^n)*n^12*(n-4)^n/( n-4)^13+84120179/432/(n^n)*n^11*(n-4)^n/(n-4)^13-472581109/432/(n^n)*n^10*(n-4) ^n/(n-4)^13-45435949/(n^n)*n^6*(n-4)^n/(n-4)^13+45140216/(n^n)*n^5*(n-4)^n/(n-4 )^13-371029373/27/(n^n)*n^8*(n-4)^n/(n-4)^13+489374743/108/(n^n)*n^9*(n-4)^n/(n -4)^13-26189040/(n^n)*n^4*(n-4)^n/(n-4)^13+269684896/9/(n^n)*n^7*(n-4)^n/(n-4)^ 13+6652800/(n^n)*n^3*(n-4)^n/(n-4)^13+65/24*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^11-1/24*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-2177280*n^12*((n-\ 1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1/32*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-3)^n/(n-3)^9+57/32*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1493/ 32*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+23861/32*n^25*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-260511/32*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n -3)^n/(n-3)^9+2060887/32*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-\ 12223535/32*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+29742295/24*n^20* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-177109595/24*n^19*((n-1)^n)^2/(n-1 )^9/(n^n)^3*(n-4)^n/(n-4)^11+1640031635/48*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 4)^n/(n-4)^11-371145445/3*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+ 4204112459/12*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-2314544974/3*n^ 15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+1304912271*n^14*((n-1)^n)^2/(n-\ 1)^9/(n^n)^3*(n-4)^n/(n-4)^11-1659177744*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4) ^n/(n-4)^11+1530893772*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-\ 965245248*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+370941120*n^10*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-3835447/24*n^21*((n-1)^n)^2/(n-1)^9/(n ^n)^3*(n-4)^n/(n-4)^11-65318400*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^ 11+1/24/(n^n)*n^13*(n-3)^n/(n-3)^10-47/24/(n^n)*n^12*(n-3)^n/(n-3)^10+40/(n^n)* n^11*(n-3)^n/(n-3)^10-1865/4/(n^n)*n^10*(n-3)^n/(n-3)^10+27391/8/(n^n)*n^9*(n-3 )^n/(n-3)^10-131957/8/(n^n)*n^8*(n-3)^n/(n-3)^10+631165/12/(n^n)*n^7*(n-3)^n/(n -3)^10-655015/6/(n^n)*n^6*(n-3)^n/(n-3)^10+140499/(n^n)*n^5*(n-3)^n/(n-3)^10-\ 100668/(n^n)*n^4*(n-3)^n/(n-3)^10+30240/(n^n)*n^3*(n-3)^n/(n-3)^10+1/12*(n-2)^n /(n-2)^7/(n^n)*n^9-7/4*(n-2)^n/(n-2)^7/(n^n)*n^8+175/12*(n-2)^n/(n-2)^7/(n^n)*n ^7-245/4*(n-2)^n/(n-2)^7/(n^n)*n^6+406/3*(n-2)^n/(n-2)^7/(n^n)*n^5-147*(n-2)^n/ (n-2)^7/(n^n)*n^4+60*(n-2)^n/(n-2)^7/(n^n)*n^3-2304*n^15*((n-1)^n)^5/(n-1)^23/( n^n)^5+1/216*n^28*((n-1)^n)^5/(n-1)^23/(n^n)^5-37/216*n^27*((n-1)^n)^5/(n-1)^23 /(n^n)^5+157/54*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^5-1079/36*n^25*((n-1)^n)^5/(n-1 )^23/(n^n)^5+1675/8*n^24*((n-1)^n)^5/(n-1)^23/(n^n)^5-75355/72*n^23*((n-1)^n)^5 /(n-1)^23/(n^n)^5+415945/108*n^22*((n-1)^n)^5/(n-1)^23/(n^n)^5-285220/27*n^21*( (n-1)^n)^5/(n-1)^23/(n^n)^5+583120/27*n^20*((n-1)^n)^5/(n-1)^23/(n^n)^5-292550/ 9*n^19*((n-1)^n)^5/(n-1)^23/(n^n)^5+105028/3*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^5-\ 25552*n^17*((n-1)^n)^5/(n-1)^23/(n^n)^5+11328*n^16*((n-1)^n)^5/(n-1)^23/(n^n)^5 -31104*n^21*((n-1)^n)^7/(n-1)^31/(n^n)^7+190546836480000/(n^n)*n^3*(n-7)^n/(n-7 )^18+2426585987596068/(n^n)*n^7*(n-7)^n/(n-7)^18-2661897917245680/(n^n)*n^6*(n-\ 7)^n/(n-7)^18+2000717027150400/(n^n)*n^5*(n-7)^n/(n-7)^18-915053723712000/(n^n) *n^4*(n-7)^n/(n-7)^18+1/3456/(n^n)*n^25*(n-7)^n/(n-7)^18-23/432/(n^n)*n^24*(n-7 )^n/(n-7)^18-15745/64/(n^n)*n^22*(n-7)^n/(n-7)^18+5305181/576/(n^n)*n^21*(n-7)^ n/(n-7)^18-9210719/36/(n^n)*n^20*(n-7)^n/(n-7)^18+9456009929/1728/(n^n)*n^19*(n -7)^n/(n-7)^18-79745548045/864/(n^n)*n^18*(n-7)^n/(n-7)^18+4310848459861/3456/( n^n)*n^17*(n-7)^n/(n-7)^18-163789818673/12/(n^n)*n^16*(n-7)^n/(n-7)^18+ 140218422776411/1152/(n^n)*n^15*(n-7)^n/(n-7)^18-511166688327505/576/(n^n)*n^14 *(n-7)^n/(n-7)^18+4572617718659479/864/(n^n)*n^13*(n-7)^n/(n-7)^18-\ 11126905242813443/432/(n^n)*n^12*(n-7)^n/(n-7)^18+21982461930405253/216/(n^n)*n ^11*(n-7)^n/(n-7)^18-3884757196431085/12/(n^n)*n^10*(n-7)^n/(n-7)^18+ 1637372327390387/2/(n^n)*n^9*(n-7)^n/(n-7)^18-1616382707540979/(n^n)*n^8*(n-7)^ n/(n-7)^18+1/288*n^30*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-5)^14*(n-5)^n-19/48*n^29*( (n-1)^n)^2/(n-1)^9/(n^n)^3/(n-5)^14*(n-5)^n+6053/288*n^28*((n-1)^n)^2/(n-1)^9/( n^n)^3/(n-5)^14*(n-5)^n-2129715/8*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5 )^14+495579641/144*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-419228137/ 12*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+81504356789/288*n^22*((n-1 )^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-88749272131/48*n^21*((n-1)^n)^2/(n-1)^9 /(n^n)^3*(n-5)^n/(n-5)^14+941394654707/96*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5 )^n/(n-5)^14-42351729693*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+ 10724606415877/72*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-\ 1275918235837/3*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+ 17630959368275/18*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+ 2340733730688*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-1323173152512*n ^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+2597288989574*n^14*((n-1)^n)^2 /(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-5400402655840/3*n^15*((n-1)^n)^2/(n-1)^9/(n^n )^3*(n-5)^n/(n-5)^14+461805857280*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5 )^14-2870798265216*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-\ 74724249600*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+2475335/4*n^22*((n -1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+2190996*n^18*((n-1)^n)^4/(n-1)^17/(n^ n)^5*(n-2)^n/(n-2)^7-1298700*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+ 1/48*n^30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+311/16*n^28*((n-1)^n)^4/ (n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-15/16*n^29*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^ n/(n-2)^7-11825/48*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+34157/16*n ^26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-214385/16*n^25*((n-1)^n)^4/(n-\ 1)^17/(n^n)^5*(n-2)^n/(n-2)^7+3020495/48*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2 )^n/(n-2)^7-3602625/16*n^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+ 2099137*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-15673375/12*n^21*((n-\ 1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+469152*n^16*((n-1)^n)^4/(n-1)^17/(n^n) ^5*(n-2)^n/(n-2)^7-2521815*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-\ 77760*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+55461375/32*n^21*((n-1) ^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-48646435/8*n^20*((n-1)^n)^3/(n-1)^13/(n^ n)^4*(n-3)^n/(n-3)^9+132434395/8*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3 )^9-69710841/2*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+112321337/2*n^ 17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-67872834*n^16*((n-1)^n)^3/(n-1) ^13/(n^n)^4*(n-3)^n/(n-3)^9+59459418*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/ (n-3)^9-35589888*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+12993696*n^ 13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+14239/8*n^22*(n-1)^n/(n-1)^5/(n ^n)^2*(n-5)^n/(n-5)^14-609733/16*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+ 9558757/16*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-85305773/12*n^19*(n-1) ^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+1576282279/24*n^18*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^14-15294678035/32*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+ 88414895855/32*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-203776053611/16*n^ 15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+187189517411/4*n^14*(n-1)^n/(n-1)^5 /(n^n)^2*(n-5)^n/(n-5)^14-409367051381/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/( n-5)^14-729666921024*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+488886368256* n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-555481421523*n^11*(n-1)^n/(n-1)^5/ (n^n)^2*(n-5)^n/(n-5)^14+1877133244513/6*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/( n-5)^14-199767824640*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+745862303712* n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+37362124800*n^6*(n-1)^n/(n-1)^5/( n^n)^2*(n-5)^n/(n-5)^14-1/48*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+35/ 16*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+31844836039/24*n^21*((n-1)^n)^ 3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-121959726485/36*n^20*((n-1)^n)^3/(n-1)^14/( n^n)^4*(n-4)^n/(n-4)^11+125613008627/18*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4) ^n/(n-4)^11-34453786153/3*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+ 14866634174*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-14780275380*n^16 *((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+10873602576*n^15*((n-1)^n)^3/(n-\ 1)^14/(n^n)^4*(n-4)^n/(n-4)^11-5566370112*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-\ 4)^n/(n-4)^11+1766810880*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-\ 2186235047/96*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-261273600*n^12 *((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+83/288*n^31*((n-1)^n)^3/(n-1)^14 /(n^n)^4*(n-4)^n/(n-4)^11-535/48*n^30*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4 )^11-1/288*n^32*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+2137/8*n^29*((n-1 )^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-213623/48*n^28*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-4)^n/(n-4)^11+2630677/48*n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-\ 4)^11+1/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-31/8*n^18*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+211/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^7-1661/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+16745/8*n^15* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-56455/8*n^14*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-2)^n/(n-2)^7+16106*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-\ 24546*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+23868*n^11*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-13338*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/( n-2)^7+3240*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1/4*n^17*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^9+43/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9 -407/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+4473/2*n^14*(n-1)^n/(n-1)^4 /(n^n)^2*(n-3)^n/(n-3)^9-63369/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+ 303555/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-250682*n^11*(n-1)^n/(n-1) ^4/(n^n)^2*(n-3)^n/(n-3)^9+570596*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-\ 876200*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+863268*n^8*(n-1)^n/(n-1)^4/( n^n)^2*(n-3)^n/(n-3)^9-490032*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+ 120960*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+200703041/48/(n^n)*n^10*(n-4 )^n/(n-4)^12+219724484/(n^n)*n^6*(n-4)^n/(n-4)^12-225770979/(n^n)*n^5*(n-4)^n/( n-4)^12+181682347/3/(n^n)*n^8*(n-4)^n/(n-4)^12-899631271/48/(n^n)*n^9*(n-4)^n/( n-4)^12+134581860/(n^n)*n^4*(n-4)^n/(n-4)^12-497/48/(n^n)*n^15*(n-4)^n/(n-4)^12 +7/48/(n^n)*n^16*(n-4)^n/(n-4)^12+15827/48/(n^n)*n^14*(n-4)^n/(n-4)^12+1242087/ 16/(n^n)*n^12*(n-4)^n/(n-4)^12-10781617/16/(n^n)*n^11*(n-4)^n/(n-4)^12-298837/ 48/(n^n)*n^13*(n-4)^n/(n-4)^12-417017447/3/(n^n)*n^7*(n-4)^n/(n-4)^12-34927200/ (n^n)*n^3*(n-4)^n/(n-4)^12+15853/3456/(n^n)*n^23*(n-7)^n/(n-7)^18-1624413*n^25* ((n-1)^n)^7/(n-1)^31/(n^n)^7+1213362*n^24*((n-1)^n)^7/(n-1)^31/(n^n)^7-631800*n ^23*((n-1)^n)^7/(n-1)^31/(n^n)^7+204768*n^22*((n-1)^n)^7/(n-1)^31/(n^n)^7+1/576 *n^38*((n-1)^n)^7/(n-1)^31/(n^n)^7-47/576*n^37*((n-1)^n)^7/(n-1)^31/(n^n)^7+115 /64*n^36*((n-1)^n)^7/(n-1)^31/(n^n)^7-14183/576*n^35*((n-1)^n)^7/(n-1)^31/(n^n) ^7+135457/576*n^34*((n-1)^n)^7/(n-1)^31/(n^n)^7-318955/192*n^33*((n-1)^n)^7/(n-\ 1)^31/(n^n)^7+5176913/576*n^32*((n-1)^n)^7/(n-1)^31/(n^n)^7-21911629/576*n^31*( (n-1)^n)^7/(n-1)^31/(n^n)^7+4080805/32*n^30*((n-1)^n)^7/(n-1)^31/(n^n)^7-\ 49036915/144*n^29*((n-1)^n)^7/(n-1)^31/(n^n)^7+52153897/72*n^28*((n-1)^n)^7/(n-\ 1)^31/(n^n)^7-14645099/12*n^27*((n-1)^n)^7/(n-1)^31/(n^n)^7+3217515/2*n^26*((n-\ 1)^n)^7/(n-1)^31/(n^n)^7-1/288*n^33*((n-1)^n)^6/(n-1)^27/(n^n)^6+7/48*n^32*((n-\ 1)^n)^6/(n-1)^27/(n^n)^6-91/32*n^31*((n-1)^n)^6/(n-1)^27/(n^n)^6+2459/72*n^30*( (n-1)^n)^6/(n-1)^27/(n^n)^6-27121/96*n^29*((n-1)^n)^6/(n-1)^27/(n^n)^6+81839/48 *n^28*((n-1)^n)^6/(n-1)^27/(n^n)^6-2233565/288*n^27*((n-1)^n)^6/(n-1)^27/(n^n)^ 6+27075*n^26*((n-1)^n)^6/(n-1)^27/(n^n)^6-1755425/24*n^25*((n-1)^n)^6/(n-1)^27/ (n^n)^6+2752285/18*n^24*((n-1)^n)^6/(n-1)^27/(n^n)^6-490679/2*n^23*((n-1)^n)^6/ (n-1)^27/(n^n)^6+296724*n^22*((n-1)^n)^6/(n-1)^27/(n^n)^6-53199/32/(n^n)*n^19*( n-6)^n/(n-6)^16-67/96/(n^n)*n^21*(n-6)^n/(n-6)^16+1/192/(n^n)*n^22*(n-6)^n/(n-6 )^16+2777/64/(n^n)*n^20*(n-6)^n/(n-6)^16+10200408258499/12/(n^n)*n^10*(n-6)^n/( n-6)^16+9806059434330/(n^n)*n^6*(n-6)^n/(n-6)^16-7817573417400/(n^n)*n^5*(n-6)^ n/(n-6)^16+1407167/32/(n^n)*n^18*(n-6)^n/(n-6)^16+1205105411/96/(n^n)*n^16*(n-6 )^n/(n-6)^16-13640609/16/(n^n)*n^17*(n-6)^n/(n-6)^16-6889842557/48/(n^n)*n^15*( n-6)^n/(n-6)^16+82706226551/64/(n^n)*n^14*(n-6)^n/(n-6)^16-295455728997/32/(n^n )*n^13*(n-6)^n/(n-6)^16+3361024485221/64/(n^n)*n^12*(n-6)^n/(n-6)^16-\ 7601560019027/32/(n^n)*n^11*(n-6)^n/(n-6)^16+20577441930233/4/(n^n)*n^8*(n-6)^n /(n-6)^16-28585837173611/12/(n^n)*n^9*(n-6)^n/(n-6)^16+3760840692000/(n^n)*n^4* (n-6)^n/(n-6)^16-16702332780171/2/(n^n)*n^7*(n-6)^n/(n-6)^16-817296480000/(n^n) *n^3*(n-6)^n/(n-6)^16-1/192*n^32*((n-1)^n)^6/(n-1)^26/(n^n)^6+19/96*n^31*((n-1) ^n)^6/(n-1)^26/(n^n)^6-667/192*n^30*((n-1)^n)^6/(n-1)^26/(n^n)^6+112/3*n^29*((n -1)^n)^6/(n-1)^26/(n^n)^6-52691/192*n^28*((n-1)^n)^6/(n-1)^26/(n^n)^6+140135/96 *n^27*((n-1)^n)^6/(n-1)^26/(n^n)^6-1112485/192*n^26*((n-1)^n)^6/(n-1)^26/(n^n)^ 6+836915/48*n^25*((n-1)^n)^6/(n-1)^26/(n^n)^6-1918615/48*n^24*((n-1)^n)^6/(n-1) ^26/(n^n)^6+138945/2*n^23*((n-1)^n)^6/(n-1)^26/(n^n)^6-360477/4*n^22*((n-1)^n)^ 6/(n-1)^26/(n^n)^6+84609*n^21*((n-1)^n)^6/(n-1)^26/(n^n)^6-54351*n^20*((n-1)^n) ^6/(n-1)^26/(n^n)^6+21384*n^19*((n-1)^n)^6/(n-1)^26/(n^n)^6-589/36*n^20*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+42943/108*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^ n/(n-4)^13-176551/27*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+2775097/36*n ^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-72715357/108*n^16*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^13+479616709/108*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-\ 4)^13-1608375197/72*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+9279725741/ 108*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+1049011628*n^9*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^13-816878592*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 13+555423726*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-6796527335/27*n^12*( n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+380796480*n^7*(n-1)^n/(n-1)^4/(n^n)^2*( n-4)^n/(n-4)^13-2712659350/3*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-\ 79833600*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-1/216*n^22*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^13+1/288*n^34*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3 )^10-71/288*n^33*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+1171/144*n^32*(( n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-21610231/18*n^27*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-3)^n/(n-3)^10+1705733173/288*n^26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n -3)^n/(n-3)^10-3977/24*n^31*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+ 336893/144*n^30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-3502787/144*n^29* ((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+13912627/72*n^28*((n-1)^n)^4/(n-1 )^17/(n^n)^5*(n-3)^n/(n-3)^10-749170995/32*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n -3)^n/(n-3)^10+10725243283/144*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^ 10-13734154079/72*n^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+ 14102723219/36*n^22*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-3837377263/6* n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+818023597*n^20*((n-1)^n)^4/( n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-800979498*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n -3)^n/(n-3)^10+578886876*n^18*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-\ 290557152*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+90300096*n^16*((n-\ 1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-13063680*n^15*((n-1)^n)^4/(n-1)^17/(n ^n)^5*(n-3)^n/(n-3)^10-869615/96*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4 )^12+5731565/48*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-115515751/96 *n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+48595/96*n^29*((n-1)^n)^3/( n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+556336842455/24*n^19*((n-1)^n)^3/(n-1)^13/(n^n )^4*(n-4)^n/(n-4)^12+41479831350*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4 )^12-21844672272*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+ 106396798935/2*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-158597375635/ 4*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+7116634080*n^13*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-11442377669/192*n^24*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-4)^n/(n-4)^12+455743625/48*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/ (n-4)^12+28856093405/96*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+ 388287979595/96*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-172741027689 /16*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-235250080031/192*n^22*(( n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-54676279071*n^16*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-4)^n/(n-4)^12-1077753600*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^ n/(n-4)^12+15/32*n^31*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-3763/192*n^ 30*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-1/192*n^32*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-4)^n/(n-4)^12+1/16*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3) ^9-3*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1035/16*n^20*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-6637/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n /(n-3)^9-39605/8*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+2202743/48* n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-15385759/48*n^23*((n-1)^n)^3 /(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-1/96*n^29*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3) ^n/(n-3)^10+11/16*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-1003/48*n^ 27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+18649/48*n^26*((n-1)^n)^3/(n-1 )^13/(n^n)^4*(n-3)^n/(n-3)^10+27578865/16*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-\ 3)^n/(n-3)^10-693738115/96*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+ 285126155/12*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-490250973/8*n^ 19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+369859453/3*n^18*((n-1)^n)^3/( n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-382212567/2*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4* (n-3)^n/(n-3)^10+223438308*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-\ 190241550*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+111100896*n^14*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-39706848*n^13*((n-1)^n)^3/(n-1)^13/( n^n)^4*(n-3)^n/(n-3)^10+6531840*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3) ^10+1/12*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-35/12*n^19*((n-1)^n)^ 2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+91/2*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n /(n-2)^7-835/2*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+10011/4*n^16*(( n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-41145/4*n^15*((n-1)^n)^2/(n-1)^9/(n^n )^3*(n-2)^n/(n-2)^7+88667/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-\ 177940/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+81368*n^12*((n-1)^n)^ 2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-72540*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^ n/(n-2)^7+37728*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-8640*n^9*((n-1 )^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+27211/4*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^12-1311/4*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-94918*n^17*( n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-27484633/4*n^15*(n-1)^n/(n-1)^4/(n^n)^2 *(n-4)^n/(n-4)^12+149801113/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+ 3769227/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1850081394*n^10*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+179625600*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n /(n-4)^12-1/8*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+19/2*n^20*(n-1)^n/( n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-79378283/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 3)^n/(n-3)^10+155571668/9*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-\ 75103258/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+25921836*n^12*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-18102048*n^11*((n-1)^n)^2/(n-1)^9/(n^n )^3*(n-3)^n/(n-3)^10+7614144*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-\ 1451520*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+192*n^12*((n-1)^n)^4/( n-1)^19/(n^n)^4+1/48*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-37/24*n^ 25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+1259/24*n^24*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-4)^n/(n-4)^11+185899/12*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/( n-4)^11-26161/24*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+7/24/(n^n)*n ^12*(n-3)^n/(n-3)^9-133/12/(n^n)*n^11*(n-3)^n/(n-3)^9+721/4/(n^n)*n^10*(n-3)^n/ (n-3)^9-3283/2/(n^n)*n^9*(n-3)^n/(n-3)^9+73549/8/(n^n)*n^8*(n-3)^n/(n-3)^9-\ 130879/4/(n^n)*n^7*(n-3)^n/(n-3)^9+442211/6/(n^n)*n^6*(n-3)^n/(n-3)^9-302603/3/ (n^n)*n^5*(n-3)^n/(n-3)^9+75684/(n^n)*n^4*(n-3)^n/(n-3)^9-23520/(n^n)*n^3*(n-3) ^n/(n-3)^9-7/288*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+35/18*n^21*(n-1) ^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-10241/144*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4 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2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-98692925/16*n^20*((n-1)^n)^2/(n-1)^10/(n^n) ^3*(n-4)^n/(n-4)^11+1018969465/32*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-\ 4)^11-1041537805/8*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+ 3380813193/8*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-2172885811/2*n^ 16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+13172916709/6*n^15*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-3439413414*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-4)^n/(n-4)^11+4083802374*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11 -3544410168*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+2115961056*n^11* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-774541440*n^10*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-4)^n/(n-4)^11+45084083/48*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4) ^n/(n-4)^11+130636800*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-1201/12 *n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+1356*n^15*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-3)^n/(n-3)^10-47961/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+72823* n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-3734723/12*n^12*(n-1)^n/(n-1)^4/( n^n)^2*(n-3)^n/(n-3)^10+2826734/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10 -6011564/3*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+2916356*n^9*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^10-2753148*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3 )^10+1510416*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-362880*n^6*(n-1)^n/(n -1)^4/(n^n)^2*(n-3)^n/(n-3)^10-1/12*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^ 10+13/3*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+30520911575/144*n^13*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+2064932835*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 4)^n/(n-4)^12-1538662776*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+ 21812703955/18*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-20971036807/36*n^ 12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+689678640*n^7*(n-1)^n/(n-1)^5/(n^n) ^2*(n-4)^n/(n-4)^12-854903/36*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+ 227185/144*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+37015405/144*n^17*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+1818177515/144*n^15*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^12-16998154481/288*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 12-297930787/144*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-11215496831/6*n^ 10*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-139708800*n^6*(n-1)^n/(n-1)^5/(n^n) ^2*(n-4)^n/(n-4)^12-13031/96*n^27*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13 +551507/192*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-2879733/64*n^25* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+871784031844/9*n^16*((n-1)^n)^2/( n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+197205591744*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-5)^n/(n-5)^13-107854326144*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^ 13+38998795/72*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+44863538213/ 1152*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-123215897/24*n^23*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-91762354391/384*n^21*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-5)^n/(n-5)^13+14327444521/12*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-5)^n/(n-5)^13-155927312385/32*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5) ^13+28064335/72*n^23*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-17059955/18*n ^22*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6+16168316/9*n^21*((n-1)^n)^4/(n -1)^19/(n^n)^5*(n-2)^n/(n-2)^6+1/144*n^31*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/ (n-2)^6-47/144*n^30*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^6-8293/12*n^27*( (n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+757625/48*n^26*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-5)^n/(n-5)^14-1/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+5/4* n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-65/4*n^13*(n-1)^n/(n-1)^5/(n^n)^2* (n-2)^n/(n-2)^7+120*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-4431/8*n^11*(n -1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+6615/4*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2) ^n/(n-2)^7-19115/6*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+3805*n^8*(n-1)^n /(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-2544*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2) ^7+720*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-5443200*n^6*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^11+33445/24*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11 -130483/8*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+1077505/8*n^15*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-19411601/24*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4) ^n/(n-4)^11+86074615/24*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-141539057 /12*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+85850710/3*n^11*(n-1)^n/(n-1) ^4/(n^n)^2*(n-4)^n/(n-4)^11-50390708*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4) ^11+62396010*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-51296364*n^8*(n-1)^n/ (n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+25014960*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^11-1907/24*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+70707371/288*n^18 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-150879071/144*n^17*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-3)^n/(n-3)^9+30686992/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 3)^n/(n-3)^9-152256013/18*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+ 285492683/18*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-198576707/9*n^13 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+66082324/3*n^12*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^9-14884464*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^9+6078912*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-1128960*n^9*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-1937682*n^11*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-3)^n/(n-3)^9+886248*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-\ 181440*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+2900717/16*n^16*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-4558677/8*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-3)^n/(n-3)^9+1308318*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-\ 2166961*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+2515893*n^12*((n-1)^n) ^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-1/24*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2) ^n/(n-2)^7+3/2*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-583/24*n^22*(( n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+2809/12*n^21*((n-1)^n)^3/(n-1)^12/(n ^n)^4*(n-2)^n/(n-2)^7-35887/24*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^ 7+20014/3*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-170531/8*n^18*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+589669/12*n^17*((n-1)^n)^3/(n-1)^12/(n^ n)^4*(n-2)^n/(n-2)^7-81078*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+ 93318*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-71046*n^14*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+32076*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^ n/(n-2)^7-6480*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+112983/16*n^18 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-168519/4*n^17*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-3)^n/(n-3)^9+11/27*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+1/ 48*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-85/48*n^26*((n-1)^n)^2/(n-\ 1)^9/(n^n)^3*(n-4)^n/(n-4)^12+833/12*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/( n-4)^12-20005/12*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+659569/24*n^ 23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-1/96*n^25*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^14+109/96*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-917/16 *n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-2055287651/576*n^22*(n-1)^n/(n-1 )^5/(n^n)^2*(n-6)^n/(n-6)^16-640865/64*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-\ 6)^16+397681/1152*n^25*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+41362219/192*n^ 23*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+1643846493515179/72*n^13*(n-1)^n/(n -1)^5/(n^n)^2*(n-6)^n/(n-6)^16+78877866330720*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-6) ^n/(n-6)^16-48793214721600*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+ 26854884841/576*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+4780191176515/ 1152*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-562746988469/1152*n^20*(n-1) ^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-11050064459317/384*n^18*(n-1)^n/(n-1)^5/(n^ n)^2*(n-6)^n/(n-6)^16+62800987750111/384*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/( n-6)^16-109799538498281/144*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+ 838517327476439/288*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+240488963/6/( n^n)*n^10*(n-5)^n/(n-5)^13+1020978054/(n^n)*n^6*(n-5)^n/(n-5)^13-930374568/(n^n )*n^5*(n-5)^n/(n-5)^13+1/96/(n^n)*n^18*(n-5)^n/(n-5)^13+3445/96/(n^n)*n^16*(n-5 )^n/(n-5)^13-29/32/(n^n)*n^17*(n-5)^n/(n-5)^13-27425/32/(n^n)*n^15*(n-5)^n/(n-5 )^13+1323907/96/(n^n)*n^14*(n-5)^n/(n-5)^13-5062343/32/(n^n)*n^13*(n-5)^n/(n-5) ^13+128154455/96/(n^n)*n^12*(n-5)^n/(n-5)^13-269687275/32/(n^n)*n^11*(n-5)^n/(n -5)^13+1146586090/3/(n^n)*n^8*(n-5)^n/(n-5)^13-143400686/(n^n)*n^9*(n-5)^n/(n-5 )^13+501340320/(n^n)*n^4*(n-5)^n/(n-5)^13-1487663125/2/(n^n)*n^7*(n-5)^n/(n-5)^ 13-119750400/(n^n)*n^3*(n-5)^n/(n-5)^13-5715/2*n^17*((n-1)^n)^5/(n-1)^21/(n^n)^ 5+1431*n^16*((n-1)^n)^5/(n-1)^21/(n^n)^5+1/96*n^26*((n-1)^n)^5/(n-1)^21/(n^n)^5 -29/96*n^25*((n-1)^n)^5/(n-1)^21/(n^n)^5+95/24*n^24*((n-1)^n)^5/(n-1)^21/(n^n)^ 5-495/16*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^5+15385/96*n^22*((n-1)^n)^5/(n-1)^21/( n^n)^5-55465/96*n^21*((n-1)^n)^5/(n-1)^21/(n^n)^5+71005/48*n^20*((n-1)^n)^5/(n-\ 1)^21/(n^n)^5-2690*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^5+3405*n^18*((n-1)^n)^5/(n-1 )^21/(n^n)^5-91/2*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-860633/24*n^21* (n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+14652487/24*n^20*(n-1)^n/(n-1)^4/(n^n) ^2*(n-5)^n/(n-5)^15-283430521/36*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+ 2831121839/36*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-9873099145/16*n^17* (n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+61354399535/16*n^16*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^15-227276963693/12*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-\ 5)^15+891703555327/12*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-\ 2074603302412/9*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-1518689672016*n^9 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+1061390153664*n^8*(n-1)^n/(n-1)^4/(n^ n)^2*(n-5)^n/(n-5)^15-1049862673132*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 15+5040997473533/9*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-450557372160*n ^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+1482284110828*n^10*(n-1)^n/(n-1)^4/ (n^n)^2*(n-5)^n/(n-5)^15+87178291200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 15-1/144*n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+119/144*n^24*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-5)^n/(n-5)^15+292400563651/18*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-5)^n/(n-5)^13-1058428840349/24*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n -5)^13+235716420830*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-\ 1021726174697/6*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+36518376960* n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-250675085088*n^13*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-5748019200*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-5)^n/(n-5)^13-1/1152*n^36*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+19/ 384*n^35*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-757/576*n^34*((n-1)^n)^5/ (n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+6227/288*n^33*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-\ 2)^n/(n-2)^8-47419/192*n^32*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+ 1198409/576*n^31*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-3859079/288*n^30* ((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+1079541/16*n^29*((n-1)^n)^5/(n-1)^ 21/(n^n)^6*(n-2)^n/(n-2)^8-310251325/1152*n^28*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-\ 2)^n/(n-2)^8+989125405/1152*n^27*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-\ 140270897/64*n^26*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+1287038093/288*n ^25*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-346748411/48*n^24*((n-1)^n)^5/ (n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+73049607/8*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^6*( n-2)^n/(n-2)^8-35300103/4*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+ 12581343/2*n^21*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-3113073*n^20*((n-1 )^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+953856*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^ 6*(n-2)^n/(n-2)^8-136080*n^18*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-133/ 144/(n^n)*n^19*(n-5)^n/(n-5)^15+7/864/(n^n)*n^20*(n-5)^n/(n-5)^15+581/12/(n^n)* n^18*(n-5)^n/(n-5)^15-37163/24/(n^n)*n^17*(n-5)^n/(n-5)^15+4867709/144/(n^n)*n^ 16*(n-5)^n/(n-5)^15-2135861/4/(n^n)*n^15*(n-5)^n/(n-5)^15+340880449/54/(n^n)*n^ 14*(n-5)^n/(n-5)^15-4102741643/72/(n^n)*n^13*(n-5)^n/(n-5)^15+12708008313/32/(n ^n)*n^12*(n-5)^n/(n-5)^15-103019369453/48/(n^n)*n^11*(n-5)^n/(n-5)^15+ 80841920341/9/(n^n)*n^10*(n-5)^n/(n-5)^15+164452912932/(n^n)*n^6*(n-5)^n/(n-5)^ 15-142320974768/(n^n)*n^5*(n-5)^n/(n-5)^15+3807887427463/54/(n^n)*n^8*(n-5)^n/( n-5)^15-57807604127/2/(n^n)*n^9*(n-5)^n/(n-5)^15+73482265920/(n^n)*n^4*(n-5)^n/ (n-5)^15-1147118884807/9/(n^n)*n^7*(n-5)^n/(n-5)^15-16951334400/(n^n)*n^3*(n-5) ^n/(n-5)^15-7/48*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+329/48*n^17*(n-1) ^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-3451/24*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^9+42707/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-231357/16*n^14*( n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+1299739/16*n^13*(n-1)^n/(n-1)^5/(n^n)^2* (n-3)^n/(n-3)^9-3879659/12*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+2753317 /3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-5527522/3*n^10*(n-1)^n/(n-1)^5/ (n^n)^2*(n-3)^n/(n-3)^9+7644119/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 2300144*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+1213968*n^7*(n-1)^n/(n-1)^5 /(n^n)^2*(n-3)^n/(n-3)^9-282240*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 3888*n^18*((n-1)^n)^6/(n-1)^26/(n^n)^6 The, 4, 4, mixed moment of, X[3], and , X[4], is 32 n 4 n 23 n 4 n 7 n ((n - 1) ) (n - 2) 1949815 n ((n - 1) ) (n - 2) ----------------------------- - -------------------------------- 20 n 5 6 20 n 5 6 5184 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 58669597 n ((n - 1) ) (n - 2) 68679023 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 20 n 5 6 20 n 5 6 54 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 31 n 4 n 30 n 4 n 119 n ((n - 1) ) (n - 2) 105 n ((n - 1) ) (n - 2) - ----------------------------- + ---------------------------- 20 n 5 6 20 n 5 6 1728 (n - 1) (n ) (n - 2) 64 (n - 1) (n ) (n - 2) 29 n 4 n 28 n 4 n 4655 n ((n - 1) ) (n - 2) 430045 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------- 20 n 5 6 20 n 5 6 192 (n - 1) (n ) (n - 2) 1728 (n - 1) (n ) (n - 2) 27 n 4 n 26 n 4 n 1084447 n ((n - 1) ) (n - 2) 56336203 n ((n - 1) ) (n - 2) - -------------------------------- + --------------------------------- 20 n 5 6 20 n 5 6 576 (n - 1) (n ) (n - 2) 5184 (n - 1) (n ) (n - 2) 25 n 4 n 24 n 4 n 84455525 n ((n - 1) ) (n - 2) 5546975 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 20 n 5 6 20 n 5 6 1728 (n - 1) (n ) (n - 2) 32 (n - 1) (n ) (n - 2) 17 n 4 n 16 n 4 n 3275776 n ((n - 1) ) (n - 2) 355712 n ((n - 1) ) (n - 2) - -------------------------------- + ------------------------------- 20 n 5 6 20 n 5 6 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 18 n 4 n 73124870 n ((n - 1) ) (n - 2) 18610480 n ((n - 1) ) (n - 2) - --------------------------------- + --------------------------------- 20 n 5 6 20 n 5 6 27 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 15 n 4 n 20 n 4 n 53760 n ((n - 1) ) (n - 2) 422094575 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------------- 20 n 5 6 20 n 5 6 (n - 1) (n ) (n - 2) 162 (n - 1) (n ) (n - 2) 31 n 4 n 32 n 4 n 53 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ---------------------------- + ---------------------------- 19 n 5 7 19 n 5 7 324 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n 1309 n ((n - 1) ) (n - 2) 20009 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 19 n 5 7 19 n 5 7 324 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 211999 n ((n - 1) ) (n - 2) 1652123 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 19 n 5 7 19 n 5 7 324 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 9805271 n ((n - 1) ) (n - 2) 45262315 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 19 n 5 7 19 n 5 7 324 (n - 1) (n ) (n - 2) 324 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 41123735 n ((n - 1) ) (n - 2) 118312915 n ((n - 1) ) (n - 2) + --------------------------------- - ---------------------------------- 19 n 5 7 19 n 5 7 81 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 269392724 n ((n - 1) ) (n - 2) 6802176 n ((n - 1) ) (n - 2) + ---------------------------------- + -------------------------------- 19 n 5 7 19 n 5 7 81 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 20 n 4 n 3645952 n ((n - 1) ) (n - 2) 223806832 n ((n - 1) ) (n - 2) - -------------------------------- + ---------------------------------- 19 n 5 7 19 n 5 7 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 482552932 n ((n - 1) ) (n - 2) 1204224 n ((n - 1) ) (n - 2) - ---------------------------------- + -------------------------------- 19 n 5 7 19 n 5 7 81 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 78900944 n ((n - 1) ) (n - 2) 184320 n ((n - 1) ) (n - 2) - --------------------------------- - ------------------------------- 19 n 5 7 19 n 5 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 3 n 27 n 3 n 4585 n ((n - 1) ) (n - 3) 85673 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 15 n 4 9 15 n 4 9 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 1109003 n ((n - 1) ) (n - 3) 10562419 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 15 n 4 9 15 n 4 9 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 230151649 n ((n - 1) ) (n - 3) 1303566929 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 15 n 4 9 15 n 4 9 1296 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 3) 22 n 3 n 30 n 3 n 486414425 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - ---------------------------------- - ----------------------------- 15 n 4 9 15 n 4 9 108 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 3) 29 n 3 n 21 n 3 n 455 n ((n - 1) ) (n - 3) 1734719875 n ((n - 1) ) (n - 3) + ----------------------------- + ----------------------------------- 15 n 4 9 15 n 4 9 1296 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 20 n 3 n 1234719199 n ((n - 1) ) (n - 3) - ----------------------------------- 15 n 4 9 27 (n - 1) (n ) (n - 3) 19 n 3 n 2799406505 n ((n - 1) ) (n - 3) + ----------------------------------- 15 n 4 9 27 (n - 1) (n ) (n - 3) 18 n 3 n 15047828740 n ((n - 1) ) (n - 3) - ------------------------------------ 15 n 4 9 81 (n - 1) (n ) (n - 3) 17 n 3 n 21014179004 n ((n - 1) ) (n - 3) + ------------------------------------ 15 n 4 9 81 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 276064544 n ((n - 1) ) (n - 3) 1942987648 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 15 n 4 9 15 n 4 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 350292992 n ((n - 1) ) (n - 3) 38943744 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 15 n 4 9 15 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 25 n 3 n 6021120 n ((n - 1) ) (n - 3) 3153263 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 15 n 4 9 14 n 4 10 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 8065577 n ((n - 1) ) (n - 3) 144279631 n ((n - 1) ) (n - 3) - -------------------------------- + ---------------------------------- 14 n 4 10 14 n 4 10 36 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 30 n 3 n 29 n 3 n n ((n - 1) ) (n - 3) 35 n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 14 n 4 10 14 n 4 10 216 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n 1135 n ((n - 1) ) (n - 3) 22661 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 14 n 4 10 14 n 4 10 108 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 26 n 3 n 22 n 3 n 156113 n ((n - 1) ) (n - 3) 1355630875 n ((n - 1) ) (n - 3) - ------------------------------- - ----------------------------------- 14 n 4 10 14 n 4 10 54 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 21 n 3 n 1263990425 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 4 10 54 (n - 1) (n ) (n - 3) 20 n 3 n 3751762159 n ((n - 1) ) (n - 3) - ----------------------------------- 14 n 4 10 54 (n - 1) (n ) (n - 3) 19 n 3 n 4420943650 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 4 10 27 (n - 1) (n ) (n - 3) 18 n 3 n 8211026650 n ((n - 1) ) (n - 3) - ----------------------------------- 14 n 4 10 27 (n - 1) (n ) (n - 3) 17 n 3 n 1317151256 n ((n - 1) ) (n - 3) + ----------------------------------- 14 n 4 10 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 1445326376 n ((n - 1) ) (n - 3) 387585376 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 14 n 4 10 14 n 4 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 215160192 n ((n - 1) ) (n - 3) 73492992 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 14 n 4 10 14 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 34 n 2 n 11612160 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 6) - --------------------------------- + ------------------------------ 14 n 4 10 10 n 3 16 (n - 1) (n ) (n - 3) 3456 (n - 1) (n ) (n - 6) 33 n 2 n 32 n 2 n 19 n ((n - 1) ) (n - 6) 2719 n ((n - 1) ) (n - 6) - ----------------------------- + ----------------------------- 10 n 3 16 10 n 3 16 432 (n - 1) (n ) (n - 6) 864 (n - 1) (n ) (n - 6) 25 n 2 n 2835005472929 n ((n - 1) ) (n - 6) - -------------------------------------- 10 n 3 16 864 (n - 1) (n ) (n - 6) 27 n 2 n 24358576811 n ((n - 1) ) (n - 6) - ------------------------------------ 10 n 3 16 864 (n - 1) (n ) (n - 6) 28 n 2 n 1663401073 n ((n - 1) ) (n - 6) + ----------------------------------- 10 n 3 16 864 (n - 1) (n ) (n - 6) 26 n 2 n 1158966032995 n ((n - 1) ) (n - 6) + -------------------------------------- 10 n 3 16 3456 (n - 1) (n ) (n - 6) 16 n 2 n 4973461000464415 n ((n - 1) ) (n - 6) + ----------------------------------------- 10 n 3 16 6 (n - 1) (n ) (n - 6) 12 n 2 n 1110742129416960 n ((n - 1) ) (n - 6) + ----------------------------------------- 10 n 3 16 (n - 1) (n ) (n - 6) 11 n 2 n 561223109548800 n ((n - 1) ) (n - 6) - ---------------------------------------- 10 n 3 16 (n - 1) (n ) (n - 6) 24 n 2 n 23023092534787 n ((n - 1) ) (n - 6) + --------------------------------------- 10 n 3 16 864 (n - 1) (n ) (n - 6) 22 n 2 n 3550652593302331 n ((n - 1) ) (n - 6) + ----------------------------------------- 10 n 3 16 3456 (n - 1) (n ) (n - 6) 23 n 2 n 312272800982269 n ((n - 1) ) (n - 6) - ---------------------------------------- 10 n 3 16 1728 (n - 1) (n ) (n - 6) 21 n 2 n 8476858883680735 n ((n - 1) ) (n - 6) - ----------------------------------------- 10 n 3 16 1728 (n - 1) (n ) (n - 6) 6 n n 3048749383680000 n (n - 1) (n - 7) + ------------------------------------- 5 n 2 18 (n - 1) (n ) (n - 7) 10 n n 97579277679172608 n (n - 1) (n - 7) + --------------------------------------- 5 n 2 18 (n - 1) (n ) (n - 7) 9 n n 82886815379796480 n (n - 1) (n - 7) - -------------------------------------- 5 n 2 18 (n - 1) (n ) (n - 7) 8 n n 49015684664294400 n (n - 1) (n - 7) + -------------------------------------- 5 n 2 18 (n - 1) (n ) (n - 7) 7 n n 17943671411712000 n (n - 1) (n - 7) - -------------------------------------- 5 n 2 18 (n - 1) (n ) (n - 7) 22 n 4 n 1154597584672 n ((n - 1) ) (n - 4) + -------------------------------------- 16 n 5 14 9 (n - 1) (n ) (n - 4) 18 n 4 n 126933055011 n ((n - 1) ) (n - 4) + ------------------------------------- 16 n 5 14 (n - 1) (n ) (n - 4) 17 n 4 n 59077723896 n ((n - 1) ) (n - 4) - ------------------------------------ 16 n 5 14 (n - 1) (n ) (n - 4) 30 n 4 n 11762247119 n ((n - 1) ) (n - 4) + ------------------------------------ 16 n 5 14 2304 (n - 1) (n ) (n - 4) 28 n 4 n 2106985766471 n ((n - 1) ) (n - 4) + -------------------------------------- 16 n 5 14 10368 (n - 1) (n ) (n - 4) 29 n 4 n 184263644579 n ((n - 1) ) (n - 4) - ------------------------------------- 16 n 5 14 5184 (n - 1) (n ) (n - 4) 27 n 4 n 1243081575437 n ((n - 1) ) (n - 4) - -------------------------------------- 16 n 5 14 1296 (n - 1) (n ) (n - 4) 26 n 4 n 77712122480381 n ((n - 1) ) (n - 4) + --------------------------------------- 16 n 5 14 20736 (n - 1) (n ) (n - 4) 25 n 4 n 62866864089169 n ((n - 1) ) (n - 4) - --------------------------------------- 16 n 5 14 5184 (n - 1) (n ) (n - 4) 24 n 4 n 84074188388701 n ((n - 1) ) (n - 4) + --------------------------------------- 16 n 5 14 2592 (n - 1) (n ) (n - 4) 23 n 4 n 3426469079309 n ((n - 1) ) (n - 4) - -------------------------------------- 16 n 5 14 48 (n - 1) (n ) (n - 4) 20 n 4 n 25 n 3 n 428600429637 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) + ------------------------------------- - --------------------------- 16 n 5 14 13 n 4 7 2 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 10 n ((n - 1) ) (n - 2) 727 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 22 n 3 n 21 n 3 n 1325 n ((n - 1) ) (n - 2) 19453 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 13 n 4 7 13 n 4 7 2 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 3 n 19 n 3 n 25305 n ((n - 1) ) (n - 2) 1152041 n ((n - 1) ) (n - 2) + ------------------------------ - -------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 888636 n ((n - 1) ) (n - 2) 632520 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 1665806 n ((n - 1) ) (n - 2) 1612855 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 13 n 4 7 13 n 4 7 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 21 n 4 n 13 n 3 n 2233339053031 n ((n - 1) ) (n - 4) 269568 n ((n - 1) ) (n - 2) - -------------------------------------- - ------------------------------- 16 n 5 14 13 n 4 7 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 835260 n ((n - 1) ) (n - 2) 51840 n ((n - 1) ) (n - 2) + ------------------------------- + ------------------------------ 13 n 4 7 13 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 17155754640 n ((n - 1) ) (n - 4) + ------------------------------------ 16 n 5 14 (n - 1) (n ) (n - 4) 19 n 4 n 191038120701 n ((n - 1) ) (n - 4) - ------------------------------------- 16 n 5 14 (n - 1) (n ) (n - 4) 15 n 4 n 38 n 4 n 2335132800 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ----------------------------------- + ------------------------------- 16 n 5 14 16 n 5 14 (n - 1) (n ) (n - 4) 20736 (n - 1) (n ) (n - 4) 37 n 4 n 23 n 2 n 29 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------- 16 n 5 14 9 n 3 9 5184 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 26 n ((n - 1) ) (n - 3) 409 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 8707 n ((n - 1) ) (n - 3) 166079 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 187668 n ((n - 1) ) (n - 3) 5597021 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 10360111 n ((n - 1) ) (n - 3) 9567084 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 59201864 n ((n - 1) ) (n - 3) 89469896 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 9 9 n 3 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 32003344 n ((n - 1) ) (n - 3) 23031936 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 9937152 n ((n - 1) ) (n - 3) 1935360 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------- 9 n 3 9 9 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 36 n 4 n 35 n 4 n 3143 n ((n - 1) ) (n - 4) 13231 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 16 n 5 14 16 n 5 14 10368 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 34 n 4 n 33 n 4 n 4972763 n ((n - 1) ) (n - 4) 21672367 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 16 n 5 14 16 n 5 14 20736 (n - 1) (n ) (n - 4) 5184 (n - 1) (n ) (n - 4) 32 n 4 n 31 n 4 n 32364703 n ((n - 1) ) (n - 4) 85983977 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 16 n 5 14 16 n 5 14 576 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 20 n n 19 n n 23 n (n - 1) (n - 4) 2167 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 11 5 n 2 11 4 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 21 n n 17 n n n (n - 1) (n - 4) 525229 n (n - 1) (n - 4) - --------------------------- - ---------------------------- 5 n 2 11 5 n 2 11 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 16 n n 15 n n 1599437 n (n - 1) (n - 4) 32341661 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 4 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 14 n n 13 n n 54573673 n (n - 1) (n - 4) 313688287 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 11 5 n 2 11 4 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 12 n n 11 n n 151593178 n (n - 1) (n - 4) 989149928 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 10 n n 9 n n 527917684 n (n - 1) (n - 4) 601760808 n (n - 1) (n - 4) + ------------------------------- - ------------------------------ 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 8 n n 7 n n 460400832 n (n - 1) (n - 4) 211006080 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 5 n 2 11 5 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 18 n n 6 n n 13691 n (n - 1) (n - 4) 43545600 n (n - 1) (n - 4) + --------------------------- + ----------------------------- 5 n 2 11 5 n 2 11 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 133 n ((n - 1) ) (n - 3) 3423 n ((n - 1) ) (n - 3) - ---------------------------- + ----------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 20 n 2 n 23 n 2 n 158123 n ((n - 1) ) (n - 3) 7 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------- 8 n 3 10 8 n 3 10 48 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n 542381 n ((n - 1) ) (n - 3) 3945487 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 8 n 3 10 8 n 3 10 16 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 17 n 2 n 16 n 2 n 62771807 n ((n - 1) ) (n - 3) 82188883 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 48 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 15 n 2 n 14 n 2 n 120154153 n ((n - 1) ) (n - 3) 97592761 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 8 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 51376598 n ((n - 1) ) (n - 3) 57355011 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 42759234 n ((n - 1) ) (n - 3) 19034568 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 8 n 3 10 8 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 36 n 3 n 3810240 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 5) + ------------------------------- - ------------------------------ 8 n 3 10 12 n 4 16 (n - 1) (n ) (n - 3) 5184 (n - 1) (n ) (n - 5) 35 n 3 n 34 n 3 n n ((n - 1) ) (n - 5) 1619 n ((n - 1) ) (n - 5) + ---------------------------- - ----------------------------- 12 n 4 16 12 n 4 16 36 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 5) 33 n 3 n 32 n 3 n 102089 n ((n - 1) ) (n - 5) 1333927 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 12 n 4 16 12 n 4 16 1296 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 31 n 3 n 13 n n 7294637 n ((n - 1) ) (n - 5) 2869764051 n (n - 1) (n - 4) + -------------------------------- - -------------------------------- 12 n 4 16 4 n 2 12 144 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 4) 9 n n 8 n n 5163567318 n (n - 1) (n - 4) 4124924748 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 7668709538 n (n - 1) (n - 4) 13302327269 n (n - 1) (n - 4) - -------------------------------- + --------------------------------- 4 n 2 12 4 n 2 12 3 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 7 n n 16 n 2 n 1964254320 n (n - 1) (n - 4) 297073519652 n ((n - 1) ) (n - 4) - ------------------------------- + ------------------------------------- 4 n 2 12 10 n 3 12 (n - 1) (n ) (n - 4) 27 (n - 1) (n ) (n - 4) 12 n 2 n 31970145592 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 18705643488 n ((n - 1) ) (n - 4) - ------------------------------------ 10 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 97807149832 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 12 3 (n - 1) (n ) (n - 4) 15 n 2 n 1158769949981 n ((n - 1) ) (n - 4) - -------------------------------------- 10 n 3 12 54 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 6728238720 n ((n - 1) ) (n - 4) 693003227 n ((n - 1) ) (n - 4) + ----------------------------------- - ---------------------------------- 10 n 3 12 10 n 3 12 (n - 1) (n ) (n - 4) 54 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 90678973 n ((n - 1) ) (n - 4) 7443832235 n ((n - 1) ) (n - 4) + --------------------------------- + ----------------------------------- 10 n 3 12 10 n 3 12 54 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 18 n 2 n 12983012917 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 12 9 (n - 1) (n ) (n - 4) 17 n 2 n 321163418569 n ((n - 1) ) (n - 4) - ------------------------------------- 10 n 3 12 72 (n - 1) (n ) (n - 4) 19 n 2 n 11958189705 n ((n - 1) ) (n - 4) - ------------------------------------ 10 n 3 12 32 (n - 1) (n ) (n - 4) 13 n 2 n 113087884658 n ((n - 1) ) (n - 4) - ------------------------------------- 10 n 3 12 3 (n - 1) (n ) (n - 4) 9 n 2 n 27 n 2 n 1117670400 n ((n - 1) ) (n - 4) 623 n ((n - 1) ) (n - 4) - ---------------------------------- - ----------------------------- 10 n 3 12 10 n 3 12 (n - 1) (n ) (n - 4) 864 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 119 n ((n - 1) ) (n - 4) 18151 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 10 n 3 12 10 n 3 12 4 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 1912421 n ((n - 1) ) (n - 4) 24648169 n ((n - 1) ) (n - 4) + -------------------------------- - --------------------------------- 10 n 3 12 10 n 3 12 144 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 28 n 2 n 33 n 3 n 7 n ((n - 1) ) (n - 4) 85499 n ((n - 1) ) (n - 5) + ----------------------------- + ------------------------------ 10 n 3 12 14 n 4 14 864 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 5) 32 n 3 n 31 n 3 n 203036 n ((n - 1) ) (n - 5) 20483599 n ((n - 1) ) (n - 5) - ------------------------------- + --------------------------------- 14 n 4 14 14 n 4 14 27 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 28 n 3 n 199667849473 n ((n - 1) ) (n - 5) - ------------------------------------- 14 n 4 14 864 (n - 1) (n ) (n - 5) 27 n 3 n 517140341381 n ((n - 1) ) (n - 5) + ------------------------------------- 14 n 4 14 288 (n - 1) (n ) (n - 5) 26 n 3 n 9977233342621 n ((n - 1) ) (n - 5) - -------------------------------------- 14 n 4 14 864 (n - 1) (n ) (n - 5) 25 n 3 n 17805314948015 n ((n - 1) ) (n - 5) + --------------------------------------- 14 n 4 14 288 (n - 1) (n ) (n - 5) 24 n 3 n 119441393640887 n ((n - 1) ) (n - 5) - ---------------------------------------- 14 n 4 14 432 (n - 1) (n ) (n - 5) 23 n 3 n 74457012391001 n ((n - 1) ) (n - 5) + --------------------------------------- 14 n 4 14 72 (n - 1) (n ) (n - 5) 22 n 3 n 349072866068099 n ((n - 1) ) (n - 5) - ---------------------------------------- 14 n 4 14 108 (n - 1) (n ) (n - 5) 21 n 3 n 151490644511783 n ((n - 1) ) (n - 5) + ---------------------------------------- 14 n 4 14 18 (n - 1) (n ) (n - 5) 20 n 3 n 490255057381685 n ((n - 1) ) (n - 5) - ---------------------------------------- 14 n 4 14 27 (n - 1) (n ) (n - 5) 19 n 3 n 28 n 2 n 289673504039086 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) + ---------------------------------------- + ---------------------------- 14 n 4 14 9 n 3 13 9 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 4) 27 n 2 n 23 n 2 n 97 n ((n - 1) ) (n - 4) 15840053 n ((n - 1) ) (n - 4) - ---------------------------- - --------------------------------- 9 n 3 13 9 n 3 13 324 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 22 n 2 n 21 n 2 n 27839152 n ((n - 1) ) (n - 4) 683730692 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 9 n 3 13 9 n 3 13 27 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 20 n 2 n 17639038885 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 324 (n - 1) (n ) (n - 4) 19 n 2 n 90415987805 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 13 324 (n - 1) (n ) (n - 4) 18 n 2 n 92470537354 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 81 (n - 1) (n ) (n - 4) 17 n 2 n 301917561413 n ((n - 1) ) (n - 4) - ------------------------------------- 9 n 3 13 81 (n - 1) (n ) (n - 4) 16 n 2 n 783539929448 n ((n - 1) ) (n - 4) + ------------------------------------- 9 n 3 13 81 (n - 1) (n ) (n - 4) 12 n 2 n 33281416256 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 13 (n - 1) (n ) (n - 4) 11 n 2 n 20149531392 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 13 (n - 1) (n ) (n - 4) 14 n 2 n 282587202208 n ((n - 1) ) (n - 4) + ------------------------------------- 9 n 3 13 9 (n - 1) (n ) (n - 4) 15 n 2 n 534048555332 n ((n - 1) ) (n - 4) - ------------------------------------- 9 n 3 13 27 (n - 1) (n ) (n - 4) 10 n 2 n 7476526080 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 13 (n - 1) (n ) (n - 4) 13 n 2 n 37805520624 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 13 (n - 1) (n ) (n - 4) 9 n 2 n 1277337600 n ((n - 1) ) (n - 4) - ---------------------------------- 9 n 3 13 (n - 1) (n ) (n - 4) 15 n 3 n 31603696155648 n ((n - 1) ) (n - 5) + --------------------------------------- 14 n 4 14 (n - 1) (n ) (n - 5) 14 n 3 n 14811875398656 n ((n - 1) ) (n - 5) - --------------------------------------- 14 n 4 14 (n - 1) (n ) (n - 5) 17 n 3 n 53121822458032 n ((n - 1) ) (n - 5) + --------------------------------------- 14 n 4 14 (n - 1) (n ) (n - 5) 18 n 3 n 26 n 2 n 46303551031092 n ((n - 1) ) (n - 5) 1088 n ((n - 1) ) (n - 4) - --------------------------------------- + ----------------------------- 14 n 4 14 9 n 3 13 (n - 1) (n ) (n - 5) 81 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 30001 n ((n - 1) ) (n - 4) 1139689 n ((n - 1) ) (n - 4) - ------------------------------ + -------------------------------- 9 n 3 13 9 n 3 13 81 (n - 1) (n ) (n - 4) 162 (n - 1) (n ) (n - 4) 13 n 3 n 4342057021440 n ((n - 1) ) (n - 5) + -------------------------------------- 14 n 4 14 (n - 1) (n ) (n - 5) 16 n 3 n 47376199864320 n ((n - 1) ) (n - 5) - --------------------------------------- 14 n 4 14 (n - 1) (n ) (n - 5) 12 n 3 n 597793996800 n ((n - 1) ) (n - 5) - ------------------------------------- 14 n 4 14 (n - 1) (n ) (n - 5) 30 n 3 n 29 n 3 n 902076605 n ((n - 1) ) (n - 5) 3514070011 n ((n - 1) ) (n - 5) - ---------------------------------- + ----------------------------------- 14 n 4 14 14 n 4 14 432 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 22 n n 23 n n 7058975 n (n - 1) (n - 5) 24101 n (n - 1) (n - 5) - ----------------------------- + --------------------------- 5 n 2 15 5 n 2 15 216 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 5) 21 n n 20 n n 42221711 n (n - 1) (n - 5) 2599418101 n (n - 1) (n - 5) + ------------------------------ - -------------------------------- 5 n 2 15 5 n 2 15 72 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 19 n n 18 n n 9251302487 n (n - 1) (n - 5) 939090892103 n (n - 1) (n - 5) + -------------------------------- - ---------------------------------- 5 n 2 15 5 n 2 15 108 (n - 1) (n ) (n - 5) 1296 (n - 1) (n ) (n - 5) 17 n n 16 n n 235309190935 n (n - 1) (n - 5) 1439690568043 n (n - 1) (n - 5) + ---------------------------------- - ----------------------------------- 5 n 2 15 5 n 2 15 48 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 15 n n 4201893290231 n (n - 1) (n - 5) + ----------------------------------- 5 n 2 15 36 (n - 1) (n ) (n - 5) 14 n n 33247997778751 n (n - 1) (n - 5) - ------------------------------------ 5 n 2 15 81 (n - 1) (n ) (n - 5) 13 n n 31125291594089 n (n - 1) (n - 5) + ------------------------------------ 5 n 2 15 27 (n - 1) (n ) (n - 5) 9 n n 8 n n 16651013964032 n (n - 1) (n - 5) 3652536211968 n (n - 1) (n - 5) + ----------------------------------- - ---------------------------------- 5 n 2 15 5 n 2 15 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 39772143623492 n (n - 1) (n - 5) + ------------------------------------ 5 n 2 15 9 (n - 1) (n ) (n - 5) 12 n n 207289277666240 n (n - 1) (n - 5) - ------------------------------------- 5 n 2 15 81 (n - 1) (n ) (n - 5) 7 n n 1469539384320 n (n - 1) (n - 5) + ---------------------------------- 5 n 2 15 (n - 1) (n ) (n - 5) 10 n n 6 n n 52134782807296 n (n - 1) (n - 5) 271221350400 n (n - 1) (n - 5) - ------------------------------------ - --------------------------------- 5 n 2 15 5 n 2 15 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 25 n n 24 n n 287 n (n - 1) (n - 5) 12299 n (n - 1) (n - 5) + ---------------------------- - ---------------------------- 5 n 2 15 5 n 2 15 432 (n - 1) (n ) (n - 5) 324 (n - 1) (n ) (n - 5) 26 n n 36 n 3 n 7 n (n - 1) (n - 5) n ((n - 1) ) (n - 5) - ----------------------------- - ----------------------------- 5 n 2 15 14 n 4 14 1296 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 5) 35 n 3 n 34 n 3 n 41 n ((n - 1) ) (n - 5) 7105 n ((n - 1) ) (n - 5) + ----------------------------- - ----------------------------- 14 n 4 14 14 n 4 14 288 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 5) 26 n n 25 n n n (n - 1) (n - 5) 67 n (n - 1) (n - 5) - ----------------------------- + ---------------------------- 4 n 2 16 4 n 2 16 1296 (n - 1) (n ) (n - 5) 648 (n - 1) (n ) (n - 5) 24 n n 22 n n 2779 n (n - 1) (n - 5) 1414853 n (n - 1) (n - 5) - ---------------------------- - ----------------------------- 4 n 2 16 4 n 2 16 432 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 5) 23 n n 21 n n 2222 n (n - 1) (n - 5) 13780991 n (n - 1) (n - 5) + -------------------------- + ------------------------------ 4 n 2 16 4 n 2 16 9 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 20 n n 19 n n 1226222957 n (n - 1) (n - 5) 3541289827 n (n - 1) (n - 5) - -------------------------------- + -------------------------------- 4 n 2 16 4 n 2 16 648 (n - 1) (n ) (n - 5) 162 (n - 1) (n ) (n - 5) 18 n n 17 n n 86241734215 n (n - 1) (n - 5) 104725443355 n (n - 1) (n - 5) - --------------------------------- + ---------------------------------- 4 n 2 16 4 n 2 16 432 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 16 n n 3670055833847 n (n - 1) (n - 5) - ----------------------------------- 4 n 2 16 432 (n - 1) (n ) (n - 5) 15 n n 2150429005361 n (n - 1) (n - 5) + ----------------------------------- 4 n 2 16 54 (n - 1) (n ) (n - 5) 14 n n 48425073199363 n (n - 1) (n - 5) - ------------------------------------ 4 n 2 16 324 (n - 1) (n ) (n - 5) 13 n n 36160047009713 n (n - 1) (n - 5) + ------------------------------------ 4 n 2 16 81 (n - 1) (n ) (n - 5) 9 n n 8 n n 2649081692656 n (n - 1) (n - 5) 1819045519680 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 4 n 2 16 4 n 2 16 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 17230224207808 n (n - 1) (n - 5) + ------------------------------------ 4 n 2 16 9 (n - 1) (n ) (n - 5) 12 n n 7 n n 28354575387061 n (n - 1) (n - 5) 760615430400 n (n - 1) (n - 5) - ------------------------------------ + --------------------------------- 4 n 2 16 4 n 2 16 27 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 7917650444812 n (n - 1) (n - 5) 145297152000 n (n - 1) (n - 5) - ----------------------------------- - --------------------------------- 4 n 2 16 4 n 2 16 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 28 n 4 n 2102808345955 n ((n - 1) ) (n - 4) + -------------------------------------- 17 n 5 13 1296 (n - 1) (n ) (n - 4) 27 n 4 n 9408682841345 n ((n - 1) ) (n - 4) - -------------------------------------- 17 n 5 13 1296 (n - 1) (n ) (n - 4) 26 n 4 n 2184779148179 n ((n - 1) ) (n - 4) + -------------------------------------- 17 n 5 13 81 (n - 1) (n ) (n - 4) 25 n 4 n 13485235432121 n ((n - 1) ) (n - 4) - --------------------------------------- 17 n 5 13 162 (n - 1) (n ) (n - 4) 24 n 4 n 17249927974733 n ((n - 1) ) (n - 4) + --------------------------------------- 17 n 5 13 81 (n - 1) (n ) (n - 4) 23 n 4 n 1348665861008 n ((n - 1) ) (n - 4) - -------------------------------------- 17 n 5 13 3 (n - 1) (n ) (n - 4) 22 n 4 n 6993221727148 n ((n - 1) ) (n - 4) + -------------------------------------- 17 n 5 13 9 (n - 1) (n ) (n - 4) 18 n 4 n 674126927424 n ((n - 1) ) (n - 4) + ------------------------------------- 17 n 5 13 (n - 1) (n ) (n - 4) 17 n 4 n 305309046528 n ((n - 1) ) (n - 4) - ------------------------------------- 17 n 5 13 (n - 1) (n ) (n - 4) 20 n 4 n 1209766071936 n ((n - 1) ) (n - 4) + -------------------------------------- 17 n 5 13 (n - 1) (n ) (n - 4) 21 n 4 n 3260810534152 n ((n - 1) ) (n - 4) - -------------------------------------- 17 n 5 13 3 (n - 1) (n ) (n - 4) 16 n 4 n 86448798720 n ((n - 1) ) (n - 4) + ------------------------------------ 17 n 5 13 (n - 1) (n ) (n - 4) 19 n 4 n 1044864744432 n ((n - 1) ) (n - 4) - -------------------------------------- 17 n 5 13 (n - 1) (n ) (n - 4) 15 n 4 n 38 n 4 n 11496038400 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ------------------------------------ + ------------------------------ 17 n 5 13 17 n 5 13 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 37 n 4 n 36 n 4 n 107 n ((n - 1) ) (n - 4) 5359 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------ 17 n 5 13 17 n 5 13 1296 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 35 n 4 n 34 n 4 n 167173 n ((n - 1) ) (n - 4) 1823149 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 17 n 5 13 17 n 5 13 1296 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 33 n 4 n 32 n 4 n 29589323 n ((n - 1) ) (n - 4) 41253599 n ((n - 1) ) (n - 4) - --------------------------------- + --------------------------------- 17 n 5 13 17 n 5 13 648 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 31 n 4 n 30 n 4 n 410492653 n ((n - 1) ) (n - 4) 6592412669 n ((n - 1) ) (n - 4) - ---------------------------------- + ----------------------------------- 17 n 5 13 17 n 5 13 72 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 15 n 5 24 n n 324 n ((n - 1) ) 881967 n (n - 1) (n - 6) - ------------------- - ---------------------------- 21 n 5 4 n 2 17 (n - 1) (n ) 8 (n - 1) (n ) (n - 6) 25 n n 22 n n 505765 n (n - 1) (n - 6) 3302192543 n (n - 1) (n - 6) + ---------------------------- - -------------------------------- 4 n 2 17 4 n 2 17 144 (n - 1) (n ) (n - 6) 72 (n - 1) (n ) (n - 6) 23 n n 26 n n 61540135 n (n - 1) (n - 6) 11231 n (n - 1) (n - 6) + ------------------------------ - ---------------------------- 4 n 2 17 4 n 2 17 24 (n - 1) (n ) (n - 6) 144 (n - 1) (n ) (n - 6) 21 n n 20 n n 46530717085 n (n - 1) (n - 6) 1049857566701 n (n - 1) (n - 6) + --------------------------------- - ----------------------------------- 4 n 2 17 4 n 2 17 72 (n - 1) (n ) (n - 6) 144 (n - 1) (n ) (n - 6) 19 n n 9584712725215 n (n - 1) (n - 6) + ----------------------------------- 4 n 2 17 144 (n - 1) (n ) (n - 6) 18 n n 23764800433777 n (n - 1) (n - 6) - ------------------------------------ 4 n 2 17 48 (n - 1) (n ) (n - 6) 17 n n 144542817364075 n (n - 1) (n - 6) + ------------------------------------- 4 n 2 17 48 (n - 1) (n ) (n - 6) 16 n n 539582477905669 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 17 36 (n - 1) (n ) (n - 6) 15 n n 2193772647798755 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 17 36 (n - 1) (n ) (n - 6) 14 n n 1812926177352416 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 17 9 (n - 1) (n ) (n - 6) 13 n n 4834214028032155 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 17 9 (n - 1) (n ) (n - 6) 9 n n 2257983960805440 n (n - 1) (n - 6) + ------------------------------------- 4 n 2 17 (n - 1) (n ) (n - 6) 8 n n 1454776764883200 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 17 (n - 1) (n ) (n - 6) 11 n n 1901071649881700 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 17 (n - 1) (n ) (n - 6) 12 n n 3425129010060092 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 17 3 (n - 1) (n ) (n - 6) 7 n n 575104271616000 n (n - 1) (n - 6) + ------------------------------------ 4 n 2 17 (n - 1) (n ) (n - 6) 10 n n 2417283956343984 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 17 (n - 1) (n ) (n - 6) 6 n n 28 n n 104613949440000 n (n - 1) (n - 6) n (n - 1) (n - 6) - ------------------------------------ - ---------------------------- 4 n 2 17 4 n 2 17 (n - 1) (n ) (n - 6) 144 (n - 1) (n ) (n - 6) 27 n n 25 n 3 n 155 n (n - 1) (n - 6) 69179378 n ((n - 1) ) (n - 4) + ---------------------------- + --------------------------------- 4 n 2 17 14 n 4 11 144 (n - 1) (n ) (n - 6) 9 (n - 1) (n ) (n - 4) 26 n 3 n 30 n 2 n 37277965 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 5) - --------------------------------- + ----------------------------- 14 n 4 11 10 n 3 13 36 (n - 1) (n ) (n - 4) 576 (n - 1) (n ) (n - 5) 29 n 2 n 28 n 2 n 35 n ((n - 1) ) (n - 5) 643 n ((n - 1) ) (n - 5) - ----------------------------- + ---------------------------- 10 n 3 13 10 n 3 13 192 (n - 1) (n ) (n - 5) 72 (n - 1) (n ) (n - 5) 27 n 2 n 30 n 2 n 42527 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 5) - ------------------------------ + --------------------------- 8 n 3 15 8 n 3 15 16 (n - 1) (n ) (n - 5) 96 (n - 1) (n ) (n - 5) 25 n 2 n 26 n 2 n 4794335 n ((n - 1) ) (n - 5) 1051925 n ((n - 1) ) (n - 5) - -------------------------------- + -------------------------------- 8 n 3 15 8 n 3 15 4 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 802139741 n ((n - 1) ) (n - 5) 4380146827 n ((n - 1) ) (n - 5) + ---------------------------------- - ----------------------------------- 8 n 3 15 8 n 3 15 48 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 22 n 2 n 152282661589 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 15 96 (n - 1) (n ) (n - 5) 21 n 2 n 88702165123 n ((n - 1) ) (n - 5) - ------------------------------------ 8 n 3 15 8 (n - 1) (n ) (n - 5) 20 n 2 n 2007139632407 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 15 32 (n - 1) (n ) (n - 5) 19 n 2 n 4608366343399 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 15 16 (n - 1) (n ) (n - 5) 18 n 2 n 25764951886027 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 15 24 (n - 1) (n ) (n - 5) 17 n 2 n 38853359969129 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 15 12 (n - 1) (n ) (n - 5) 16 n 2 n 47101371240325 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 15 6 (n - 1) (n ) (n - 5) 12 n 2 n 22304469258864 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 11 n 2 n 13062459110976 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 14 n 2 n 22843929397422 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 15 n 2 n 15138393688265 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 10 n 2 n 4708853533440 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 13 n 2 n 26322814768068 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 15 (n - 1) (n ) (n - 5) 9 n 2 n 29 n 2 n 784604620800 n ((n - 1) ) (n - 5) 31 n ((n - 1) ) (n - 5) - ------------------------------------ - --------------------------- 8 n 3 15 8 n 3 15 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 28 n 2 n 32 n 3 n 7153 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) + ----------------------------- - ----------------------------- 8 n 3 15 12 n 4 13 96 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 4) 31 n 3 n 30 n 3 n 49 n ((n - 1) ) (n - 4) 4451 n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 12 n 4 13 12 n 4 13 72 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 6919 n ((n - 1) ) (n - 4) 1203671 n ((n - 1) ) (n - 4) + ----------------------------- - -------------------------------- 12 n 4 13 12 n 4 13 8 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 27 n 3 n 4 n 8541913 n ((n - 1) ) (n - 4) 35153135174016000 n (n - 7) + -------------------------------- + ----------------------------- 12 n 4 13 n 19 36 (n - 1) (n ) (n - 4) n (n - 7) 33 n 3 n 32 n 3 n 34237 n ((n - 1) ) (n - 5) 2426327 n ((n - 1) ) (n - 5) + ------------------------------ - -------------------------------- 15 n 4 13 15 n 4 13 864 (n - 1) (n ) (n - 5) 2592 (n - 1) (n ) (n - 5) 31 n 3 n 30 n 3 n 7150475 n ((n - 1) ) (n - 5) 590142743 n ((n - 1) ) (n - 5) + -------------------------------- - ---------------------------------- 15 n 4 13 15 n 4 13 432 (n - 1) (n ) (n - 5) 2592 (n - 1) (n ) (n - 5) 29 n 3 n 1079776799 n ((n - 1) ) (n - 5) + ----------------------------------- 15 n 4 13 432 (n - 1) (n ) (n - 5) 28 n 3 n 115560349093 n ((n - 1) ) (n - 5) - ------------------------------------- 15 n 4 13 5184 (n - 1) (n ) (n - 5) 19 n 3 n 54746162286974 n ((n - 1) ) (n - 5) + --------------------------------------- 15 n 4 13 27 (n - 1) (n ) (n - 5) 15 n 3 n 1749235576320 n ((n - 1) ) (n - 5) + -------------------------------------- 15 n 4 13 (n - 1) (n ) (n - 5) 14 n 3 n 797714178048 n ((n - 1) ) (n - 5) - ------------------------------------- 15 n 4 13 (n - 1) (n ) (n - 5) 27 n 3 n 141301313971 n ((n - 1) ) (n - 5) + ------------------------------------- 15 n 4 13 864 (n - 1) (n ) (n - 5) 25 n 3 n 4371080645269 n ((n - 1) ) (n - 5) + -------------------------------------- 15 n 4 13 864 (n - 1) (n ) (n - 5) 26 n 3 n 5161414949455 n ((n - 1) ) (n - 5) - -------------------------------------- 15 n 4 13 5184 (n - 1) (n ) (n - 5) 24 n 3 n 27900569081743 n ((n - 1) ) (n - 5) - --------------------------------------- 15 n 4 13 1296 (n - 1) (n ) (n - 5) 23 n 3 n 16591071065353 n ((n - 1) ) (n - 5) + --------------------------------------- 15 n 4 13 216 (n - 1) (n ) (n - 5) 22 n 3 n 74381584432669 n ((n - 1) ) (n - 5) - --------------------------------------- 15 n 4 13 324 (n - 1) (n ) (n - 5) 21 n 3 n 30942844674475 n ((n - 1) ) (n - 5) + --------------------------------------- 15 n 4 13 54 (n - 1) (n ) (n - 5) 20 n 3 n 96213991073929 n ((n - 1) ) (n - 5) - --------------------------------------- 15 n 4 13 81 (n - 1) (n ) (n - 5) 17 n 3 n 9371633976032 n ((n - 1) ) (n - 5) + -------------------------------------- 15 n 4 13 3 (n - 1) (n ) (n - 5) 18 n 3 n 2815291777312 n ((n - 1) ) (n - 5) - -------------------------------------- 15 n 4 13 (n - 1) (n ) (n - 5) 13 n 3 n 227975454720 n ((n - 1) ) (n - 5) + ------------------------------------- 15 n 4 13 (n - 1) (n ) (n - 5) 16 n 3 n 2700167719936 n ((n - 1) ) (n - 5) - -------------------------------------- 15 n 4 13 (n - 1) (n ) (n - 5) 12 n 3 n 42 n 6 n 30656102400 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 2) - ------------------------------------ + ----------------------------- 15 n 4 13 26 n 7 8 (n - 1) (n ) (n - 5) 3456 (n - 1) (n ) (n - 2) 41 n 6 n 40 n 6 n 11 n ((n - 1) ) (n - 2) 2053 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 26 n 7 8 26 n 7 8 576 (n - 1) (n ) (n - 2) 3456 (n - 1) (n ) (n - 2) 39 n 6 n 38 n 6 n 5005 n ((n - 1) ) (n - 2) 274709 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------- 26 n 7 8 26 n 7 8 432 (n - 1) (n ) (n - 2) 1728 (n - 1) (n ) (n - 2) 37 n 6 n 36 n 3 n 1410347 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 5) - -------------------------------- - ------------------------------ 26 n 7 8 15 n 4 13 864 (n - 1) (n ) (n - 2) 5184 (n - 1) (n ) (n - 5) 35 n 3 n 34 n 3 n 19 n ((n - 1) ) (n - 5) 6115 n ((n - 1) ) (n - 5) + ----------------------------- - ------------------------------ 15 n 4 13 15 n 4 13 864 (n - 1) (n ) (n - 5) 5184 (n - 1) (n ) (n - 5) 32 n 3 n 33 n 3 n 47 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) + ---------------------------- - ----------------------------- 14 n 4 12 14 n 4 12 72 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 4) 19 n 3 n 1588465811815 n ((n - 1) ) (n - 4) - -------------------------------------- 14 n 4 12 9 (n - 1) (n ) (n - 4) 15 n 3 n 250351996896 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 4 12 (n - 1) (n ) (n - 4) 14 n 3 n 125993764224 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 12 (n - 1) (n ) (n - 4) 17 n 3 n 356626502588 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 4 12 (n - 1) (n ) (n - 4) 18 n 3 n 847183100410 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 12 3 (n - 1) (n ) (n - 4) 13 n 3 n 39392386560 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 12 (n - 1) (n ) (n - 4) 24 n 3 n 17246949581 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 12 24 (n - 1) (n ) (n - 4) 25 n 3 n 18734275669 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 12 144 (n - 1) (n ) (n - 4) 23 n 3 n 155366275757 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 4 12 48 (n - 1) (n ) (n - 4) 21 n 3 n 1294799042257 n ((n - 1) ) (n - 4) - -------------------------------------- 14 n 4 12 36 (n - 1) (n ) (n - 4) 20 n 3 n 1592783008589 n ((n - 1) ) (n - 4) + -------------------------------------- 14 n 4 12 18 (n - 1) (n ) (n - 4) 22 n 3 n 286262713219 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 12 24 (n - 1) (n ) (n - 4) 16 n 3 n 346913263512 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 12 (n - 1) (n ) (n - 4) 12 n 3 n 24 n 8 5748019200 n ((n - 1) ) (n - 4) 145152 n ((n - 1) ) + ----------------------------------- - ---------------------- 14 n 4 12 36 n 8 (n - 1) (n ) (n - 4) (n - 1) (n ) 28 n 4 n 200172720073 n ((n - 1) ) (n - 4) + ------------------------------------- 19 n 5 11 432 (n - 1) (n ) (n - 4) 29 n 4 n 31 n 2 n 30680398273 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 5) - ------------------------------------ + ----------------------------- 19 n 5 11 10 n 3 14 324 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 5) 30 n 2 n 29 n 2 n 59 n ((n - 1) ) (n - 5) 6509 n ((n - 1) ) (n - 5) - ----------------------------- + ----------------------------- 10 n 3 14 10 n 3 14 144 (n - 1) (n ) (n - 5) 288 (n - 1) (n ) (n - 5) 27 n 3 n 26 n 3 n n ((n - 1) ) (n - 2) 2 n ((n - 1) ) (n - 2) - ---------------------------- + --------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 27 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 1063 n ((n - 1) ) (n - 2) 2401 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 133591 n ((n - 1) ) (n - 2) 24937 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 4515065 n ((n - 1) ) (n - 2) 2883433 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 15 n 4 7 15 n 4 7 648 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 19 n 3 n 15 n 3 n 6362695 n ((n - 1) ) (n - 2) 3257984 n ((n - 1) ) (n - 2) - -------------------------------- - -------------------------------- 15 n 4 7 15 n 4 7 81 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 3 n 17 n 3 n 684928 n ((n - 1) ) (n - 2) 24682522 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 15 n 4 7 15 n 4 7 3 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 18 n 3 n 13 n 3 n 4789178 n ((n - 1) ) (n - 2) 87552 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------ 15 n 4 7 15 n 4 7 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 3 n 12 n 3 n 3517628 n ((n - 1) ) (n - 2) 15360 n ((n - 1) ) (n - 2) + -------------------------------- + ------------------------------ 15 n 4 7 15 n 4 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 35237 n ((n - 1) ) (n - 3) 436633 n ((n - 1) ) (n - 3) - ------------------------------ + ------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 20 n 2 n 14 n n 3911939 n ((n - 1) ) (n - 3) n (n - 1) (n - 2) - -------------------------------- - ------------------------- 10 n 3 10 4 n 2 7 432 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 2) 13 n n 12 n n 13 n (n - 1) (n - 2) 143 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n n 10 n n 868 n (n - 1) (n - 2) 6349 n (n - 1) (n - 2) + ------------------------- - -------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 9 n n 8 n n 7147 n (n - 1) (n - 2) 3214 n (n - 1) (n - 2) + ------------------------- - ------------------------- 4 n 2 7 4 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 7 n n 6 n n 2364 n (n - 1) (n - 2) 720 n (n - 1) (n - 2) + ------------------------- - ------------------------ 4 n 2 7 4 n 2 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 2 n 21 n 2 n 565 n ((n - 1) ) (n - 3) 28457 n ((n - 1) ) (n - 3) + ---------------------------- - ------------------------------ 9 n 3 10 9 n 3 10 6 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 20 n 2 n 24 n 2 n 322805 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ------------------------------- + --------------------------- 9 n 3 10 9 n 3 10 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n 61 n ((n - 1) ) (n - 3) 291191 n ((n - 1) ) (n - 3) - --------------------------- - ------------------------------- 9 n 3 10 9 n 3 10 18 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 15731093 n ((n - 1) ) (n - 3) 71093411 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 9 n 3 10 9 n 3 10 18 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 16 n 2 n 31 n 3 n 13549139 n ((n - 1) ) (n - 3) 4843 n ((n - 1) ) (n - 4) + --------------------------------- - ----------------------------- 9 n 3 10 13 n 4 13 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 4) 30 n 3 n 26 n 3 n 71173 n ((n - 1) ) (n - 4) 1148838131 n ((n - 1) ) (n - 4) + ------------------------------ + ----------------------------------- 13 n 4 13 13 n 4 13 216 (n - 1) (n ) (n - 4) 108 (n - 1) (n ) (n - 4) 25 n 3 n 33318071669 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 13 432 (n - 1) (n ) (n - 4) 24 n 3 n 97510359419 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 13 216 (n - 1) (n ) (n - 4) 23 n 3 n 927796321751 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 432 (n - 1) (n ) (n - 4) 22 n 3 n 1799788459781 n ((n - 1) ) (n - 4) + -------------------------------------- 13 n 4 13 216 (n - 1) (n ) (n - 4) 21 n 3 n 949316986879 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 36 (n - 1) (n ) (n - 4) 20 n 3 n 3665675340857 n ((n - 1) ) (n - 4) + -------------------------------------- 13 n 4 13 54 (n - 1) (n ) (n - 4) 19 n 3 n 1271271060545 n ((n - 1) ) (n - 4) - -------------------------------------- 13 n 4 13 9 (n - 1) (n ) (n - 4) 15 n 3 n 230934510432 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 14 n 3 n 119667867264 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 17 n 3 n 308025365636 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 18 n 3 n 235106900610 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 13 n 3 n 38434383360 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 13 (n - 1) (n ) (n - 4) 16 n 3 n 310042302312 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 13 (n - 1) (n ) (n - 4) 12 n 3 n 29 n 3 n 5748019200 n ((n - 1) ) (n - 4) 1452755 n ((n - 1) ) (n - 4) + ----------------------------------- - -------------------------------- 13 n 4 13 13 n 4 13 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n 10949255 n ((n - 1) ) (n - 4) 253073311 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 13 n 4 13 13 n 4 13 108 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 4) 28 n n 27 n n 997715 n (n - 1) (n - 7) 19949875 n (n - 1) (n - 7) + ----------------------------- - ------------------------------ 5 n 2 18 5 n 2 18 5184 (n - 1) (n ) (n - 7) 2592 (n - 1) (n ) (n - 7) 25 n n 24 n n 13859047415 n (n - 1) (n - 7) 256472135795 n (n - 1) (n - 7) - --------------------------------- + ---------------------------------- 5 n 2 18 5 n 2 18 2592 (n - 1) (n ) (n - 7) 2592 (n - 1) (n ) (n - 7) 23 n n 284986007495 n (n - 1) (n - 7) - ---------------------------------- 5 n 2 18 192 (n - 1) (n ) (n - 7) 22 n n 94716529389845 n (n - 1) (n - 7) + ------------------------------------ 5 n 2 18 5184 (n - 1) (n ) (n - 7) 21 n n 964936110898355 n (n - 1) (n - 7) - ------------------------------------- 5 n 2 18 5184 (n - 1) (n ) (n - 7) 20 n n 2727605356729405 n (n - 1) (n - 7) + -------------------------------------- 5 n 2 18 1728 (n - 1) (n ) (n - 7) 19 n n 14490656061887755 n (n - 1) (n - 7) - --------------------------------------- 5 n 2 18 1296 (n - 1) (n ) (n - 7) 18 n n 42933401204155145 n (n - 1) (n - 7) + --------------------------------------- 5 n 2 18 648 (n - 1) (n ) (n - 7) 17 n n 35458683629766635 n (n - 1) (n - 7) - --------------------------------------- 5 n 2 18 108 (n - 1) (n ) (n - 7) 16 n n 109963315344484610 n (n - 1) (n - 7) + ---------------------------------------- 5 n 2 18 81 (n - 1) (n ) (n - 7) 15 n n 377808437571073865 n (n - 1) (n - 7) - ---------------------------------------- 5 n 2 18 81 (n - 1) (n ) (n - 7) 14 n n 357192501775981790 n (n - 1) (n - 7) + ---------------------------------------- 5 n 2 18 27 (n - 1) (n ) (n - 7) 13 n n 92058770008804160 n (n - 1) (n - 7) - --------------------------------------- 5 n 2 18 3 (n - 1) (n ) (n - 7) 12 n n 57450393420240260 n (n - 1) (n - 7) + --------------------------------------- 5 n 2 18 (n - 1) (n ) (n - 7) 11 n n 85228145960561856 n (n - 1) (n - 7) - --------------------------------------- 5 n 2 18 (n - 1) (n ) (n - 7) 36 n 6 n 35 n 6 n 22501417 n ((n - 1) ) (n - 2) 35724925 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 26 n 7 8 26 n 7 8 1728 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 34 n 6 n 1468661741 n ((n - 1) ) (n - 2) + ----------------------------------- 26 n 7 8 3456 (n - 1) (n ) (n - 2) 33 n 6 n 3086379833 n ((n - 1) ) (n - 2) - ----------------------------------- 26 n 7 8 1728 (n - 1) (n ) (n - 2) 32 n 6 n 21358986089 n ((n - 1) ) (n - 2) + ------------------------------------ 26 n 7 8 3456 (n - 1) (n ) (n - 2) 31 n 6 n 1907354063 n ((n - 1) ) (n - 2) - ----------------------------------- 26 n 7 8 108 (n - 1) (n ) (n - 2) 30 n 6 n 2000571149 n ((n - 1) ) (n - 2) + ----------------------------------- 26 n 7 8 48 (n - 1) (n ) (n - 2) 29 n 6 n 17491611835 n ((n - 1) ) (n - 2) - ------------------------------------ 26 n 7 8 216 (n - 1) (n ) (n - 2) 28 n 6 n 27 n 6 n 128693688 n ((n - 1) ) (n - 2) 993002663 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 26 n 7 8 26 n 7 8 (n - 1) (n ) (n - 2) 6 (n - 1) (n ) (n - 2) 26 n 6 n 25 n 6 n 169442869 n ((n - 1) ) (n - 2) 134776530 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 26 n 7 8 26 n 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 6 n 23 n 6 n 80212266 n ((n - 1) ) (n - 2) 33579576 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 26 n 7 8 26 n 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 6 n 21 n 6 n 8810208 n ((n - 1) ) (n - 2) 1088640 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 26 n 7 8 26 n 7 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 37 n 5 n 36 n 5 n 4417 n ((n - 1) ) (n - 3) 582949 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------- 22 n 6 10 22 n 6 10 54 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 35 n 5 n 40 n 5 n 1795835 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + -------------------------------- - ----------------------------- 22 n 6 10 22 n 6 10 108 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 3) 39 n 5 n 38 n 5 n 5 n ((n - 1) ) (n - 3) 3007 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 22 n 6 10 22 n 6 10 54 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 3) 30 n 5 n 134780728363 n ((n - 1) ) (n - 3) - ------------------------------------- 22 n 6 10 864 (n - 1) (n ) (n - 3) 29 n 5 n 34 n 5 n 58029325549 n ((n - 1) ) (n - 3) 22894081 n ((n - 1) ) (n - 3) + ------------------------------------ - --------------------------------- 22 n 6 10 22 n 6 10 108 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 33 n 5 n 32 n 5 n 14512973 n ((n - 1) ) (n - 3) 238246423 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 22 n 6 10 22 n 6 10 12 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 3) 31 n 5 n 15 n 5 4052450725 n ((n - 1) ) (n - 3) 768 n ((n - 1) ) + ----------------------------------- + ------------------- 22 n 6 10 24 n 5 108 (n - 1) (n ) (n - 3) (n - 1) (n ) 33 n 3 n 32 n 3 n n ((n - 1) ) (n - 4) 17 n ((n - 1) ) (n - 4) - ----------------------------- + ---------------------------- 13 n 4 13 13 n 4 13 432 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 20 n 3 n 19 n 3 n 2366681 n ((n - 1) ) (n - 2) 3916937 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 14 n 4 7 14 n 4 7 36 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 1395688 n ((n - 1) ) (n - 2) 933216 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 3 n 18 n 3 n 9169004 n ((n - 1) ) (n - 2) 4891516 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 14 n 4 7 14 n 4 7 9 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 3 n 16 n 3 n 376704 n ((n - 1) ) (n - 2) 1409892 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 14 n 4 7 14 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 12 n 3 n 16 n 2 n 69120 n ((n - 1) ) (n - 2) 55503416945 n ((n - 1) ) (n - 4) - ------------------------------ - ------------------------------------ 14 n 4 7 9 n 3 12 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 4) 12 n 2 n 71220306960 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 43954555392 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 64052850900 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 117498926108 n ((n - 1) ) (n - 4) + ------------------------------------- 9 n 3 12 3 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 16582682880 n ((n - 1) ) (n - 4) 11988702 n ((n - 1) ) (n - 4) - ------------------------------------ + --------------------------------- 9 n 3 12 9 n 3 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 7925225 n ((n - 1) ) (n - 4) 252137420 n ((n - 1) ) (n - 4) - -------------------------------- - ---------------------------------- 9 n 3 12 9 n 3 12 6 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 18 n 2 n 23978675105 n ((n - 1) ) (n - 4) - ------------------------------------ 9 n 3 12 12 (n - 1) (n ) (n - 4) 17 n 2 n 20534512039 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 3 (n - 1) (n ) (n - 4) 19 n 2 n 5536442725 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 12 12 (n - 1) (n ) (n - 4) 13 n 2 n 79127395824 n ((n - 1) ) (n - 4) + ------------------------------------ 9 n 3 12 (n - 1) (n ) (n - 4) 9 n 2 n 2874009600 n ((n - 1) ) (n - 4) + ---------------------------------- 9 n 3 12 (n - 1) (n ) (n - 4) 18 n 2 n 48440479945 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 48 (n - 1) (n ) (n - 4) 17 n 2 n 14676685803 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 4 (n - 1) (n ) (n - 4) 16 n 2 n 125797331777 n ((n - 1) ) (n - 4) - ------------------------------------- 8 n 3 13 12 (n - 1) (n ) (n - 4) 12 n 2 n 48416666436 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 11 n 2 n 30982893984 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 14 n 2 n 40061938053 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 15 n 2 n 23362550195 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 10 n 2 n 12077760960 n ((n - 1) ) (n - 4) - ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 13 n 2 n 51692649444 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 (n - 1) (n ) (n - 4) 9 n 2 n 26 n 2 n 2155507200 n ((n - 1) ) (n - 4) 31 n ((n - 1) ) (n - 4) + ---------------------------------- - --------------------------- 8 n 3 13 8 n 3 13 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 995 n ((n - 1) ) (n - 4) 26021 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------ 8 n 3 13 8 n 3 13 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 22 n n 30 n 3 n 9237 n (n - 1) (n - 5) 18707 n ((n - 1) ) (n - 4) + -------------------------- + ------------------------------ 4 n 2 15 14 n 4 12 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 4) 29 n 3 n 28 n 3 n 354665 n ((n - 1) ) (n - 4) 2490265 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 14 n 4 12 14 n 4 12 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 161368271 n ((n - 1) ) (n - 4) 686775127 n ((n - 1) ) (n - 4) - ---------------------------------- + ---------------------------------- 14 n 4 12 14 n 4 12 72 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 31 n 3 n 26 n 3 n 4123 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 2) - ----------------------------- - --------------------------- 14 n 4 12 14 n 4 7 144 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 2) 25 n 3 n 24 n 3 n 11 n ((n - 1) ) (n - 2) 887 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 14 n 4 7 14 n 4 7 9 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 5429 n ((n - 1) ) (n - 2) 30053 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 14 n 4 7 14 n 4 7 18 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 21 n 3 n 27 n n 44758 n ((n - 1) ) (n - 2) 2311 n (n - 1) (n - 6) + ------------------------------ - ---------------------------- 14 n 4 7 4 n 2 18 3 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 6) 21 n n 20 n n 877300649197 n (n - 1) (n - 6) 6858072839783 n (n - 1) (n - 6) - ---------------------------------- + ----------------------------------- 4 n 2 18 4 n 2 18 288 (n - 1) (n ) (n - 6) 216 (n - 1) (n ) (n - 6) 19 n n 117117258814993 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 18 432 (n - 1) (n ) (n - 6) 18 n n 15237345131619 n (n - 1) (n - 6) + ------------------------------------ 4 n 2 18 8 (n - 1) (n ) (n - 6) 17 n n 9530013597190501 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 18 864 (n - 1) (n ) (n - 6) 16 n n 1420834346524391 n (n - 1) (n - 6) + -------------------------------------- 4 n 2 18 27 (n - 1) (n ) (n - 6) 15 n n 4949537746887611 n (n - 1) (n - 6) - -------------------------------------- 4 n 2 18 24 (n - 1) (n ) (n - 6) 14 n n 35653959043023227 n (n - 1) (n - 6) + --------------------------------------- 4 n 2 18 54 (n - 1) (n ) (n - 6) 13 n n 92457025506726911 n (n - 1) (n - 6) - --------------------------------------- 4 n 2 18 54 (n - 1) (n ) (n - 6) 9 n n 6640084016429280 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 18 (n - 1) (n ) (n - 6) 8 n n 4217718212438400 n (n - 1) (n - 6) + ------------------------------------- 4 n 2 18 (n - 1) (n ) (n - 6) 11 n n 17367751002166442 n (n - 1) (n - 6) - --------------------------------------- 4 n 2 18 3 (n - 1) (n ) (n - 6) 12 n n 31965204060333332 n (n - 1) (n - 6) + --------------------------------------- 4 n 2 18 9 (n - 1) (n ) (n - 6) 7 n n 1646897761152000 n (n - 1) (n - 6) - ------------------------------------- 4 n 2 18 (n - 1) (n ) (n - 6) 10 n n 34 n 4 n 7225301869775528 n (n - 1) (n - 6) n ((n - 1) ) (n - 3) + -------------------------------------- + --------------------------- 4 n 2 18 18 n 5 9 (n - 1) (n ) (n - 6) 96 (n - 1) (n ) (n - 3) 33 n 4 n 32 n 4 n 11 n ((n - 1) ) (n - 3) 127 n ((n - 1) ) (n - 3) - --------------------------- + ---------------------------- 18 n 5 9 18 n 5 9 16 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 24 n 4 n 3068328479 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 9 24 (n - 1) (n ) (n - 3) 23 n 4 n 3784842167 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 9 12 (n - 1) (n ) (n - 3) 22 n 4 n 1251241979 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 9 2 (n - 1) (n ) (n - 3) 21 n 4 n 2967022397 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 9 3 (n - 1) (n ) (n - 3) 20 n 4 n 1227758126 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 9 (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 1169398524 n ((n - 1) ) (n - 3) 823827888 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 18 n 5 9 18 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 403862976 n ((n - 1) ) (n - 3) 122819328 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 18 n 5 9 18 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 31 n 4 n 17418240 n ((n - 1) ) (n - 3) 9701 n ((n - 1) ) (n - 3) - --------------------------------- - ----------------------------- 18 n 5 9 18 n 5 9 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 257723 n ((n - 1) ) (n - 3) 632713 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 18 n 5 9 18 n 5 9 48 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 9529367 n ((n - 1) ) (n - 3) 56327129 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 18 n 5 9 18 n 5 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 26 n 4 n 1061011313 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 9 96 (n - 1) (n ) (n - 3) 25 n 4 n 2008184915 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 9 48 (n - 1) (n ) (n - 3) 23 n 3 n 3481771215 n ((n - 1) ) (n - 4) + ----------------------------------- 14 n 4 11 16 (n - 1) (n ) (n - 4) 22 n 3 n 34 n 5 n 20233912831 n ((n - 1) ) (n - 4) 341 n ((n - 1) ) (n - 2) - ------------------------------------ - ---------------------------- 14 n 4 11 22 n 6 7 24 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 2) 36 n 5 n 35 n 5 n n ((n - 1) ) (n - 2) 3 n ((n - 1) ) (n - 2) - ---------------------------- + -------------------------- 22 n 6 7 22 n 6 7 144 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 421350223 n ((n - 1) ) (n - 2) 30216744 n ((n - 1) ) (n - 2) + ---------------------------------- + --------------------------------- 22 n 6 7 22 n 6 7 18 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 33 n 5 n 14688864 n ((n - 1) ) (n - 2) 2677 n ((n - 1) ) (n - 2) - --------------------------------- + ----------------------------- 22 n 6 7 22 n 6 7 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 31 n 5 n 32 n 5 n 473809 n ((n - 1) ) (n - 2) 13013 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 22 n 6 7 22 n 6 7 36 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 1469617 n ((n - 1) ) (n - 2) 1191118 n ((n - 1) ) (n - 2) - -------------------------------- + -------------------------------- 22 n 6 7 22 n 6 7 18 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 220943485 n ((n - 1) ) (n - 2) 341763155 n ((n - 1) ) (n - 2) - ---------------------------------- + ---------------------------------- 22 n 6 7 22 n 6 7 144 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 26 n 5 n 23 n 5 n 141391133 n ((n - 1) ) (n - 2) 45654714 n ((n - 1) ) (n - 2) - ---------------------------------- + --------------------------------- 22 n 6 7 22 n 6 7 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 5 n 19 n 5 n 110811643 n ((n - 1) ) (n - 2) 4427136 n ((n - 1) ) (n - 2) - ---------------------------------- + -------------------------------- 22 n 6 7 22 n 6 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 18 n 5 n 43215636 n ((n - 1) ) (n - 2) 622080 n ((n - 1) ) (n - 2) - --------------------------------- - ------------------------------- 22 n 6 7 22 n 6 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 2 n 23 n 2 n 7 n ((n - 1) ) (n - 3) 49 n ((n - 1) ) (n - 3) + ---------------------------- - --------------------------- 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 22 n 2 n 21 n 2 n 10045 n ((n - 1) ) (n - 3) 78127 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 1650145 n ((n - 1) ) (n - 3) 3133067 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 23 n 24 n 18 n 1169 n (n - 6) 7 n (n - 6) 35379359855 n (n - 6) - ----------------- + ----------------- + ------------------------ n 18 n 18 n 18 5184 n (n - 6) 5184 n (n - 6) 2592 n (n - 6) 17 n 16 n 530667462955 n (n - 6) 12692086685327 n (n - 6) - ------------------------- + --------------------------- n 18 n 18 2592 n (n - 6) 5184 n (n - 6) 15 n 14 n 122197596531829 n (n - 6) 105833457848755 n (n - 6) - ---------------------------- + ---------------------------- n 18 n 18 5184 n (n - 6) 576 n (n - 6) 13 n 12 n 2007913912373005 n (n - 6) 15438189885452831 n (n - 6) - ----------------------------- + ------------------------------ n 18 n 18 1728 n (n - 6) 2592 n (n - 6) 11 n 10 n 1995977255378456 n (n - 6) 13228515995910565 n (n - 6) - ----------------------------- + ------------------------------ n 18 n 18 81 n (n - 6) 162 n (n - 6) 6 n 5 n 2278102500803080 n (n - 6) 583671668960800 n (n - 6) + ---------------------------- - --------------------------- n 18 n 18 3 n (n - 6) n (n - 6) 8 n 9 n 23585248421881937 n (n - 6) 69389099212973995 n (n - 6) + ----------------------------- - ----------------------------- n 18 n 18 54 n (n - 6) 324 n (n - 6) 4 n 7 n 272201339424000 n (n - 6) 6073514516658274 n (n - 6) + --------------------------- - ---------------------------- n 18 n 18 n (n - 6) 9 n (n - 6) 3 n 24 n n 57634536960000 n (n - 6) n (n - 1) (n - 5) - -------------------------- - ---------------------------- n 18 5 n 2 13 n (n - 6) 144 (n - 1) (n ) (n - 5) 23 n n 22 n n 2 n (n - 1) (n - 5) 709 n (n - 1) (n - 5) + -------------------------- - --------------------------- 5 n 2 13 5 n 2 13 3 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 13 n n 9 n n 17747927041 n (n - 1) (n - 5) 35550016896 n (n - 1) (n - 5) + --------------------------------- + -------------------------------- 5 n 2 13 5 n 2 13 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 8 n n 21 n n 24294394368 n (n - 1) (n - 5) 19261 n (n - 1) (n - 5) - -------------------------------- + --------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 19 n n 20 n n 4887337 n (n - 1) (n - 5) 29945 n (n - 1) (n - 5) + ----------------------------- - --------------------------- 5 n 2 13 5 n 2 13 24 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 18 n n 39 n 6 n 150616949 n (n - 1) (n - 5) 2671 n ((n - 1) ) (n - 2) - ------------------------------- - ----------------------------- 5 n 2 13 28 n 7 6 72 (n - 1) (n ) (n - 5) 288 (n - 1) (n ) (n - 2) 38 n 6 n 37 n 6 n 68651 n ((n - 1) ) (n - 2) 662735 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 28 n 7 6 28 n 7 6 576 (n - 1) (n ) (n - 2) 576 (n - 1) (n ) (n - 2) 35 n 6 n 34 n 6 n 22496111 n ((n - 1) ) (n - 2) 878394493 n ((n - 1) ) (n - 2) - --------------------------------- + ---------------------------------- 28 n 7 6 28 n 7 6 432 (n - 1) (n ) (n - 2) 3456 (n - 1) (n ) (n - 2) 36 n 6 n 41 n 6 n 7482811 n ((n - 1) ) (n - 2) 61 n ((n - 1) ) (n - 2) + -------------------------------- - ----------------------------- 28 n 7 6 28 n 7 6 864 (n - 1) (n ) (n - 2) 3456 (n - 1) (n ) (n - 2) 40 n 6 n 42 n 6 n 881 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ----------------------------- + ----------------------------- 28 n 7 6 28 n 7 6 1728 (n - 1) (n ) (n - 2) 3456 (n - 1) (n ) (n - 2) 30 n 6 n 9013692869 n ((n - 1) ) (n - 2) + ----------------------------------- 28 n 7 6 432 (n - 1) (n ) (n - 2) 29 n 6 n 8428031437 n ((n - 1) ) (n - 2) - ----------------------------------- 28 n 7 6 216 (n - 1) (n ) (n - 2) 28 n 6 n 6459947543 n ((n - 1) ) (n - 2) + ----------------------------------- 28 n 7 6 108 (n - 1) (n ) (n - 2) 27 n 6 n 31 n 4 n 1338385135 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) - ----------------------------------- + --------------------------- 28 n 7 6 18 n 5 7 18 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 30 n 4 n 29 n 4 n 49 n ((n - 1) ) (n - 2) 371 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 18 n 5 7 18 n 5 7 48 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 15557 n ((n - 1) ) (n - 2) 149771 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 18 n 5 7 18 n 5 7 48 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 351013 n ((n - 1) ) (n - 2) 5593115 n ((n - 1) ) (n - 2) - ------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 16 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 22889855 n ((n - 1) ) (n - 2) 1519490 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 18 n 5 7 18 n 5 7 48 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 4 n 18 n 4 n 45377395 n ((n - 1) ) (n - 2) 10062684 n ((n - 1) ) (n - 2) - --------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 17 n 4 n 20 n 4 n 5663952 n ((n - 1) ) (n - 2) 10918363 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 4 n 16 n 4 n 21970786 n ((n - 1) ) (n - 2) 1954368 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 18 n 5 7 18 n 5 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 4 n 15 n 4 n 12278256 n ((n - 1) ) (n - 2) 311040 n ((n - 1) ) (n - 2) + --------------------------------- + ------------------------------- 18 n 5 7 18 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 28 n 3 n 27 n 3 n 61 n ((n - 1) ) (n - 3) 1721 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 14 n 4 9 14 n 4 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 29833 n ((n - 1) ) (n - 3) 355955 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------- 14 n 4 9 14 n 4 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 3102931 n ((n - 1) ) (n - 3) 6822361 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 14 n 4 9 14 n 4 9 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 22 n 3 n 29 n 3 n 104355515 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------- 14 n 4 9 14 n 4 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 34 n 6 33 n 6 32 n 6 n ((n - 1) ) 23 n ((n - 1) ) 329 n ((n - 1) ) - -------------------- + ------------------- - ------------------- 28 n 6 28 n 6 28 n 6 1296 (n - 1) (n ) 648 (n - 1) (n ) 432 (n - 1) (n ) 31 n 6 30 n 6 29 n 6 1639 n ((n - 1) ) 120707 n ((n - 1) ) 136081 n ((n - 1) ) + -------------------- - ---------------------- + ---------------------- 28 n 6 28 n 6 28 n 6 162 (n - 1) (n ) 1296 (n - 1) (n ) 216 (n - 1) (n ) 28 n 6 27 n 6 4197701 n ((n - 1) ) 4182965 n ((n - 1) ) - ----------------------- + ----------------------- 28 n 6 28 n 6 1296 (n - 1) (n ) 324 (n - 1) (n ) 26 n 6 25 n 6 4354625 n ((n - 1) ) 8018560 n ((n - 1) ) - ----------------------- + ----------------------- 28 n 6 28 n 6 108 (n - 1) (n ) 81 (n - 1) (n ) 24 n 6 23 n 6 15425251 n ((n - 1) ) 2556164 n ((n - 1) ) - ------------------------ + ----------------------- 28 n 6 28 n 6 81 (n - 1) (n ) 9 (n - 1) (n ) 22 n 6 21 n 6 20 n 6 965836 n ((n - 1) ) 804416 n ((n - 1) ) 154752 n ((n - 1) ) - ---------------------- + ---------------------- - ---------------------- 28 n 6 28 n 6 28 n 6 3 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 19 n 6 21 n 22 n 55296 n ((n - 1) ) 4413955 n (n - 6) 91175 n (n - 6) + --------------------- - -------------------- + ------------------ 28 n 6 n 18 n 18 (n - 1) (n ) 5184 n (n - 6) 5184 n (n - 6) 19 n 20 n 39 n 7 617314999 n (n - 6) 12391421 n (n - 6) n ((n - 1) ) - ---------------------- + --------------------- + -------------------- n 18 n 18 32 n 7 864 n (n - 6) 432 n (n - 6) 1728 (n - 1) (n ) 38 n 7 37 n 7 36 n 7 17 n ((n - 1) ) 1223 n ((n - 1) ) 18323 n ((n - 1) ) - ------------------- + -------------------- - --------------------- 32 n 7 32 n 7 32 n 7 576 (n - 1) (n ) 1728 (n - 1) (n ) 1728 (n - 1) (n ) 35 n 7 34 n 7 64063 n ((n - 1) ) 1498693 n ((n - 1) ) + --------------------- - ----------------------- 32 n 7 32 n 7 576 (n - 1) (n ) 1728 (n - 1) (n ) 33 n 7 32 n 7 9004373 n ((n - 1) ) 14206427 n ((n - 1) ) + ----------------------- - ------------------------ 32 n 7 32 n 7 1728 (n - 1) (n ) 576 (n - 1) (n ) 31 n 7 30 n 7 80550503 n ((n - 1) ) 122491405 n ((n - 1) ) + ------------------------ - ------------------------- 32 n 7 32 n 7 864 (n - 1) (n ) 432 (n - 1) (n ) 29 n 7 28 n 7 50075909 n ((n - 1) ) 148243091 n ((n - 1) ) + ------------------------ - ------------------------- 32 n 7 32 n 7 72 (n - 1) (n ) 108 (n - 1) (n ) 27 n 7 26 n 7 38942743 n ((n - 1) ) 2686481 n ((n - 1) ) + ------------------------ - ----------------------- 32 n 7 32 n 7 18 (n - 1) (n ) (n - 1) (n ) 25 n 7 24 n 7 2570338 n ((n - 1) ) 1828416 n ((n - 1) ) + ----------------------- - ----------------------- 32 n 7 32 n 7 (n - 1) (n ) (n - 1) (n ) 23 n 7 22 n 7 910656 n ((n - 1) ) 283392 n ((n - 1) ) + ---------------------- - ---------------------- 32 n 7 32 n 7 (n - 1) (n ) (n - 1) (n ) 14 n n 652629515245415 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 16 18 (n - 1) (n ) (n - 6) 11 n n 291111390699994 n (n - 1) (n - 6) + ------------------------------------- 5 n 2 16 (n - 1) (n ) (n - 6) 12 n n 551783207677672 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 16 3 (n - 1) (n ) (n - 6) 7 n n 74339923392000 n (n - 1) (n - 6) + ----------------------------------- 5 n 2 16 (n - 1) (n ) (n - 6) 10 n n 353003026735488 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 16 (n - 1) (n ) (n - 6) 6 n n 28 n n 13076743680000 n (n - 1) (n - 6) n (n - 1) (n - 6) - ----------------------------------- - ---------------------------- 5 n 2 16 5 n 2 16 (n - 1) (n ) (n - 6) 288 (n - 1) (n ) (n - 6) 27 n n 26 n n 143 n (n - 1) (n - 6) 9563 n (n - 1) (n - 6) + ---------------------------- - ---------------------------- 5 n 2 16 5 n 2 16 288 (n - 1) (n ) (n - 6) 288 (n - 1) (n ) (n - 6) 26 n 4 n 2919065845 n ((n - 1) ) (n - 3) + ----------------------------------- 16 n 5 11 576 (n - 1) (n ) (n - 3) 25 n 4 n 4041202435 n ((n - 1) ) (n - 3) - ----------------------------------- 16 n 5 11 192 (n - 1) (n ) (n - 3) 24 n 4 n 2523840431 n ((n - 1) ) (n - 3) + ----------------------------------- 16 n 5 11 36 (n - 1) (n ) (n - 3) 23 n 4 n 13489461799 n ((n - 1) ) (n - 3) - ------------------------------------ 16 n 5 11 72 (n - 1) (n ) (n - 3) 22 n 4 n 14407823209 n ((n - 1) ) (n - 3) + ------------------------------------ 16 n 5 11 36 (n - 1) (n ) (n - 3) 21 n 4 n 20 n 4 n 2032871254 n ((n - 1) ) (n - 3) 896331179 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 16 n 5 11 16 n 5 11 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 4 n 18 n 4 n 905283018 n ((n - 1) ) (n - 3) 673208856 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 16 n 5 11 16 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 346877532 n ((n - 1) ) (n - 3) 110425680 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 16 n 5 11 16 n 5 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 31 n 2 n 16329600 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 5) - --------------------------------- + ----------------------------- 16 n 5 11 8 n 3 16 (n - 1) (n ) (n - 3) 1728 (n - 1) (n ) (n - 5) 30 n 2 n 34 n 4 n 139 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 3) - ----------------------------- + ----------------------------- 8 n 3 16 16 n 5 11 1728 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 3) 33 n 4 n 32 n 4 n 77 n ((n - 1) ) (n - 3) 343 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 16 n 5 11 16 n 5 11 576 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 31 n 4 n 30 n 4 n 2507 n ((n - 1) ) (n - 3) 455177 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 16 n 5 11 16 n 5 11 24 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 29 n 4 n 28 n 4 n 5051009 n ((n - 1) ) (n - 3) 1332784 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 16 n 5 11 16 n 5 11 288 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 27 n 4 n 26 n 3 n 70134509 n ((n - 1) ) (n - 3) 184738007 n ((n - 1) ) (n - 4) - --------------------------------- - ---------------------------------- 16 n 5 11 12 n 4 13 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 4) 25 n 3 n 779362117 n ((n - 1) ) (n - 4) + ---------------------------------- 12 n 4 13 36 (n - 1) (n ) (n - 4) 24 n 3 n 20848277797 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 13 144 (n - 1) (n ) (n - 4) 23 n 3 n 18604601275 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 4 13 24 (n - 1) (n ) (n - 4) 22 n 3 n 481285891151 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 4 13 144 (n - 1) (n ) (n - 4) 21 n 3 n 837216677479 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 13 72 (n - 1) (n ) (n - 4) 20 n 3 n 1173517605679 n ((n - 1) ) (n - 4) - -------------------------------------- 12 n 4 13 36 (n - 1) (n ) (n - 4) 19 n 3 n 439546709833 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 13 6 (n - 1) (n ) (n - 4) 15 n 3 n 152497409832 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 13 (n - 1) (n ) (n - 4) 14 n 3 n 82813891968 n ((n - 1) ) (n - 4) - ------------------------------------ 12 n 4 13 (n - 1) (n ) (n - 4) 17 n 3 n 182417180658 n ((n - 1) ) (n - 4) + ------------------------------------- 12 n 4 13 (n - 1) (n ) (n - 4) 18 n 3 n 130725880293 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 4 13 (n - 1) (n ) (n - 4) 13 n 3 n 27748033920 n ((n - 1) ) (n - 4) + ------------------------------------ 12 n 4 13 (n - 1) (n ) (n - 4) 16 n 3 n 194407374276 n ((n - 1) ) (n - 4) - ------------------------------------- 12 n 4 13 (n - 1) (n ) (n - 4) 12 n 3 n 14 n 4311014400 n ((n - 1) ) (n - 4) 15 n (n - 4) - ----------------------------------- - --------------- 12 n 4 13 n 11 (n - 1) (n ) (n - 4) 2 n (n - 4) 13 n 12 n 11 n 1601 n (n - 4) 3135 n (n - 4) 256443 n (n - 4) + ----------------- - ----------------- + ------------------- n 11 n 11 n 11 8 n (n - 4) n (n - 4) 8 n (n - 4) 10 n 9 n 8 n 449955 n (n - 4) 8873843 n (n - 4) 3863310 n (n - 4) - ------------------- + ------------------- - ------------------- n 11 n 11 n 11 2 n (n - 4) 8 n (n - 4) n (n - 4) 7 n 6 n 5 n 9412832 n (n - 4) 15606690 n (n - 4) 16661682 n (n - 4) + ------------------- - -------------------- + -------------------- n 11 n 11 n 11 n (n - 4) n (n - 4) n (n - 4) 4 n 15 n 3 n 10239480 n (n - 4) n (n - 4) 2721600 n (n - 4) - -------------------- + -------------- + ------------------- n 11 n 11 n 11 n (n - 4) 8 n (n - 4) n (n - 4) 18 n n 17 n n 14 n (n - 1) (n - 3) 1409 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 16 n n 15 n n 5269 n (n - 1) (n - 3) 23219 n (n - 1) (n - 3) + -------------------------- - --------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 14 n n 13 n n 120784 n (n - 1) (n - 3) 7230227 n (n - 1) (n - 3) + ---------------------------- - ----------------------------- 5 n 2 10 5 n 2 10 3 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 12 n n 11 n n 6561457 n (n - 1) (n - 3) 17318500 n (n - 1) (n - 3) + ----------------------------- - ------------------------------ 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 32795324 n (n - 1) (n - 3) 14418572 n (n - 1) (n - 3) + ------------------------------ - ----------------------------- 5 n 2 10 5 n 2 10 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 4174336 n (n - 1) (n - 3) 2134848 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 5 n 2 10 5 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 19 n 18 n 483840 n (n - 1) (n - 3) 7 n (n - 5) 175 n (n - 5) + --------------------------- + --------------- - ---------------- 5 n 2 10 n 14 n 14 (n - 1) (n ) (n - 3) 48 n (n - 5) 12 n (n - 5) 17 n 16 n 15 n 2002 n (n - 5) 222355 n (n - 5) 8377187 n (n - 5) + ----------------- - ------------------- + -------------------- n 14 n 14 n 14 3 n (n - 5) 12 n (n - 5) 24 n (n - 5) 14 n 13 n 12 n 56696185 n (n - 5) 284887603 n (n - 5) 4331372045 n (n - 5) - --------------------- + ---------------------- - ----------------------- n 14 n 14 n 14 12 n (n - 5) 6 n (n - 5) 12 n (n - 5) 11 n 10 n 100559389931 n (n - 5) 27907324445 n (n - 5) + ------------------------- - ------------------------ n 14 n 14 48 n (n - 5) 3 n (n - 5) 6 n 5 n 198843249780 n (n - 5) 176346935856 n (n - 5) - ------------------------ + ------------------------ n 14 n 14 n (n - 5) n (n - 5) 8 n 9 n 239919594005 n (n - 5) 94348979816 n (n - 5) - ------------------------ + ----------------------- n 14 n 14 3 n (n - 5) 3 n (n - 5) 4 n 7 n 92920443840 n (n - 5) 149671037131 n (n - 5) - ----------------------- + ------------------------ n 14 n 14 n (n - 5) n (n - 5) 3 n 28 n 2 n 21794572800 n (n - 5) 55811 n ((n - 1) ) (n - 5) + ----------------------- - ------------------------------ n 14 10 n 3 14 n (n - 5) 72 (n - 1) (n ) (n - 5) 27 n 2 n 26 n 2 n 296771 n ((n - 1) ) (n - 5) 7904395 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 10 n 3 14 10 n 3 14 16 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 25 n 2 n 24 n 2 n 648919121 n ((n - 1) ) (n - 5) 438316013 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 10 n 3 14 10 n 3 14 144 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 23 n 2 n 121750257941 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 14 288 (n - 1) (n ) (n - 5) 22 n 2 n 429256529971 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 14 144 (n - 1) (n ) (n - 5) 21 n 2 n 1651388831755 n ((n - 1) ) (n - 5) + -------------------------------------- 10 n 3 14 96 (n - 1) (n ) (n - 5) 20 n 2 n 1957836167339 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 14 24 (n - 1) (n ) (n - 5) 19 n 2 n 22921904567461 n ((n - 1) ) (n - 5) + --------------------------------------- 10 n 3 14 72 (n - 1) (n ) (n - 5) 18 n 2 n 27 n 2 n 18380115830899 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 4) - --------------------------------------- + --------------------------- 10 n 3 14 8 n 3 13 18 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 4) 23 n 2 n 22 n 2 n 310507 n ((n - 1) ) (n - 4) 12113969 n ((n - 1) ) (n - 4) + ------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 21 n 2 n 20 n 2 n 29644759 n ((n - 1) ) (n - 4) 37214385 n ((n - 1) ) (n - 4) + --------------------------------- - --------------------------------- 8 n 3 13 8 n 3 13 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 19 n 2 n 10493876965 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 13 48 (n - 1) (n ) (n - 4) 29 n 5 n 428310043333 n ((n - 1) ) (n - 3) + ------------------------------------- 21 n 6 11 2592 (n - 1) (n ) (n - 3) 28 n 5 n 39728915867 n ((n - 1) ) (n - 3) - ------------------------------------ 21 n 6 11 81 (n - 1) (n ) (n - 3) 27 n 5 n 97500009415 n ((n - 1) ) (n - 3) + ------------------------------------ 21 n 6 11 81 (n - 1) (n ) (n - 3) 26 n 5 n 394147481449 n ((n - 1) ) (n - 3) - ------------------------------------- 21 n 6 11 162 (n - 1) (n ) (n - 3) 25 n 5 n 108587089909 n ((n - 1) ) (n - 3) + ------------------------------------- 21 n 6 11 27 (n - 1) (n ) (n - 3) 24 n 5 n 5376481856 n ((n - 1) ) (n - 3) - ----------------------------------- 21 n 6 11 (n - 1) (n ) (n - 3) 23 n 5 n 17151688000 n ((n - 1) ) (n - 3) + ------------------------------------ 21 n 6 11 3 (n - 1) (n ) (n - 3) 22 n 5 n 4718060684 n ((n - 1) ) (n - 3) - ----------------------------------- 21 n 6 11 (n - 1) (n ) (n - 3) 21 n 5 n 2909554344 n ((n - 1) ) (n - 3) + ----------------------------------- 21 n 6 11 (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 1260343872 n ((n - 1) ) (n - 3) 341642880 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 21 n 6 11 21 n 6 11 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 37 n 5 n 43545600 n ((n - 1) ) (n - 3) 43445 n ((n - 1) ) (n - 3) - --------------------------------- + ------------------------------ 21 n 6 11 21 n 6 11 (n - 1) (n ) (n - 3) 2592 (n - 1) (n ) (n - 3) 36 n 5 n 35 n 5 n 762529 n ((n - 1) ) (n - 3) 4981357 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 21 n 6 11 21 n 6 11 2592 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 3) 34 n 5 n 33 n 5 n 33554929 n ((n - 1) ) (n - 3) 44812795 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 21 n 6 11 21 n 6 11 864 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 32 n 5 n 386257463 n ((n - 1) ) (n - 3) - ---------------------------------- 21 n 6 11 192 (n - 1) (n ) (n - 3) 31 n 5 n 27515167003 n ((n - 1) ) (n - 3) + ------------------------------------ 21 n 6 11 2592 (n - 1) (n ) (n - 3) 30 n 5 n 238855450339 n ((n - 1) ) (n - 3) - ------------------------------------- 21 n 6 11 5184 (n - 1) (n ) (n - 3) 29 n 4 n 389183192327 n ((n - 1) ) (n - 4) - ------------------------------------- 17 n 5 13 1296 (n - 1) (n ) (n - 4) 30 n 3 n 1109940103 n ((n - 1) ) (n - 5) - ----------------------------------- 12 n 4 16 1296 (n - 1) (n ) (n - 5) 28 n 3 n 214332269797 n ((n - 1) ) (n - 5) - ------------------------------------- 12 n 4 16 1728 (n - 1) (n ) (n - 5) 29 n 3 n 2478933487 n ((n - 1) ) (n - 5) + ----------------------------------- 12 n 4 16 216 (n - 1) (n ) (n - 5) 27 n 3 n 709203992323 n ((n - 1) ) (n - 5) + ------------------------------------- 12 n 4 16 648 (n - 1) (n ) (n - 5) 26 n 3 n 6870281162195 n ((n - 1) ) (n - 5) - -------------------------------------- 12 n 4 16 864 (n - 1) (n ) (n - 5) 25 n 3 n 6888958890205 n ((n - 1) ) (n - 5) + -------------------------------------- 12 n 4 16 144 (n - 1) (n ) (n - 5) 24 n 3 n 1239597037759729 n ((n - 1) ) (n - 5) - ----------------------------------------- 12 n 4 16 5184 (n - 1) (n ) (n - 5) 23 n 3 n 429468064523083 n ((n - 1) ) (n - 5) + ---------------------------------------- 12 n 4 16 432 (n - 1) (n ) (n - 5) 22 n 3 n 185484601785563 n ((n - 1) ) (n - 5) - ---------------------------------------- 12 n 4 16 54 (n - 1) (n ) (n - 5) 21 n 3 n 1593065141560711 n ((n - 1) ) (n - 5) + ----------------------------------------- 12 n 4 16 162 (n - 1) (n ) (n - 5) 20 n 3 n 1252880514675577 n ((n - 1) ) (n - 5) - ----------------------------------------- 12 n 4 16 54 (n - 1) (n ) (n - 5) 19 n 3 n 402655310011808 n ((n - 1) ) (n - 5) + ---------------------------------------- 12 n 4 16 9 (n - 1) (n ) (n - 5) 15 n 3 n 58526353640304 n ((n - 1) ) (n - 5) + --------------------------------------- 12 n 4 16 (n - 1) (n ) (n - 5) 14 n 3 n 29124639789120 n ((n - 1) ) (n - 5) - --------------------------------------- 12 n 4 16 (n - 1) (n ) (n - 5) 17 n 3 n 86060249745736 n ((n - 1) ) (n - 5) + --------------------------------------- 12 n 4 16 (n - 1) (n ) (n - 5) 18 n 3 n 208976359875292 n ((n - 1) ) (n - 5) - ---------------------------------------- 12 n 4 16 3 (n - 1) (n ) (n - 5) 13 n 3 n 9024996153600 n ((n - 1) ) (n - 5) + -------------------------------------- 12 n 4 16 (n - 1) (n ) (n - 5) 16 n 3 n 82253210645316 n ((n - 1) ) (n - 5) - --------------------------------------- 12 n 4 16 (n - 1) (n ) (n - 5) 12 n 3 n 1307674368000 n ((n - 1) ) (n - 5) - -------------------------------------- 12 n 4 16 (n - 1) (n ) (n - 5) 31 n 4 n 30 n 4 n 756680383 n ((n - 1) ) (n - 4) 3822910829 n ((n - 1) ) (n - 4) - ---------------------------------- + ----------------------------------- 18 n 5 12 18 n 5 12 96 (n - 1) (n ) (n - 4) 64 (n - 1) (n ) (n - 4) 29 n 4 n 213635678879 n ((n - 1) ) (n - 4) - ------------------------------------- 18 n 5 12 576 (n - 1) (n ) (n - 4) 32 n 4 n 242460191 n ((n - 1) ) (n - 4) + ---------------------------------- 18 n 5 12 288 (n - 1) (n ) (n - 4) 22 n 4 n 2120681658361 n ((n - 1) ) (n - 4) + -------------------------------------- 18 n 5 12 3 (n - 1) (n ) (n - 4) 18 n 4 n 542868297264 n ((n - 1) ) (n - 4) + ------------------------------------- 18 n 5 12 (n - 1) (n ) (n - 4) 17 n 4 n 239668134336 n ((n - 1) ) (n - 4) - ------------------------------------- 18 n 5 12 (n - 1) (n ) (n - 4) 20 n 4 n 1031169332496 n ((n - 1) ) (n - 4) + -------------------------------------- 18 n 5 12 (n - 1) (n ) (n - 4) 21 n 4 n 956102994318 n ((n - 1) ) (n - 4) - ------------------------------------- 18 n 5 12 (n - 1) (n ) (n - 4) 16 n 4 n 66273603840 n ((n - 1) ) (n - 4) + ------------------------------------ 18 n 5 12 (n - 1) (n ) (n - 4) 27 n 4 n 518773400065 n ((n - 1) ) (n - 4) - ------------------------------------- 18 n 5 12 64 (n - 1) (n ) (n - 4) 28 n 4 n 121768107635 n ((n - 1) ) (n - 4) + ------------------------------------- 18 n 5 12 64 (n - 1) (n ) (n - 4) 26 n 4 n 2070458816153 n ((n - 1) ) (n - 4) + -------------------------------------- 18 n 5 12 72 (n - 1) (n ) (n - 4) 24 n 4 n 834735766297 n ((n - 1) ) (n - 4) + ------------------------------------- 18 n 5 12 4 (n - 1) (n ) (n - 4) 23 n 4 n 3815556846518 n ((n - 1) ) (n - 4) - -------------------------------------- 18 n 5 12 9 (n - 1) (n ) (n - 4) 25 n 4 n 2039320941239 n ((n - 1) ) (n - 4) - -------------------------------------- 18 n 5 12 24 (n - 1) (n ) (n - 4) 19 n 4 n 864808332444 n ((n - 1) ) (n - 4) - ------------------------------------- 18 n 5 12 (n - 1) (n ) (n - 4) 15 n 4 n 34 n 4 n 8622028800 n ((n - 1) ) (n - 4) 452323 n ((n - 1) ) (n - 4) - ----------------------------------- + ------------------------------- 18 n 5 12 18 n 5 12 (n - 1) (n ) (n - 4) 96 (n - 1) (n ) (n - 4) 33 n 4 n 35 n 4 n 2288699 n ((n - 1) ) (n - 4) 133421 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------- 18 n 5 12 18 n 5 12 32 (n - 1) (n ) (n - 4) 576 (n - 1) (n ) (n - 4) 29 n 5 28 n 5 27 n 5 n ((n - 1) ) 41 n ((n - 1) ) 97 n ((n - 1) ) + -------------------- - -------------------- + ------------------- 24 n 5 24 n 5 24 n 5 2592 (n - 1) (n ) 2592 (n - 1) (n ) 324 (n - 1) (n ) 26 n 5 25 n 5 24 n 5 4493 n ((n - 1) ) 23707 n ((n - 1) ) 135655 n ((n - 1) ) - -------------------- + --------------------- - ---------------------- 24 n 5 24 n 5 24 n 5 1296 (n - 1) (n ) 864 (n - 1) (n ) 864 (n - 1) (n ) 23 n 5 22 n 5 21 n 5 868075 n ((n - 1) ) 701165 n ((n - 1) ) 431000 n ((n - 1) ) + ---------------------- - ---------------------- + ---------------------- 24 n 5 24 n 5 24 n 5 1296 (n - 1) (n ) 324 (n - 1) (n ) 81 (n - 1) (n ) 20 n 5 19 n 5 1605065 n ((n - 1) ) 371321 n ((n - 1) ) - ----------------------- + ---------------------- 24 n 5 24 n 5 162 (n - 1) (n ) 27 (n - 1) (n ) 18 n 5 17 n 5 16 n 5 124192 n ((n - 1) ) 28384 n ((n - 1) ) 3968 n ((n - 1) ) - ---------------------- + --------------------- - -------------------- 24 n 5 24 n 5 24 n 5 9 (n - 1) (n ) 3 (n - 1) (n ) (n - 1) (n ) 21 n 19 n 20 n n (n - 5) 427 n (n - 5) 43 n (n - 5) + ----------------- + ---------------- - ---------------- n 16 n 16 n 16 2592 n (n - 5) 144 n (n - 5) 864 n (n - 5) 18 n 17 n 16 n 7799 n (n - 5) 1173197 n (n - 5) 7138411 n (n - 5) - ----------------- + -------------------- - -------------------- n 16 n 16 n 16 72 n (n - 5) 432 n (n - 5) 144 n (n - 5) 15 n 14 n 220969229 n (n - 5) 1560050089 n (n - 5) + ---------------------- - ----------------------- n 16 n 16 324 n (n - 5) 216 n (n - 5) 13 n 12 n 17168408257 n (n - 5) 111128444713 n (n - 5) + ------------------------ - ------------------------- n 16 n 16 288 n (n - 5) 288 n (n - 5) 11 n 10 n 847048907263 n (n - 5) 140263145113 n (n - 5) + ------------------------- - ------------------------- n 16 n 16 432 n (n - 5) 18 n (n - 5) 6 n 5 n 372730666964 n (n - 5) 105156994640 n (n - 5) - ------------------------ + ------------------------ n 16 n 16 3 n (n - 5) n (n - 5) 8 n 9 n 3047667843847 n (n - 5) 1944283364207 n (n - 5) - ------------------------- + ------------------------- n 16 n 16 54 n (n - 5) 81 n (n - 5) 4 n 7 n 53294539200 n (n - 5) 889850451833 n (n - 5) - ----------------------- + ------------------------ n 16 n 16 n (n - 5) 9 n (n - 5) 3 n 21 n 2 n 12108096000 n (n - 5) n ((n - 1) ) (n - 2) + ----------------------- + --------------------------- n 16 10 n 3 7 n (n - 5) 72 (n - 1) (n ) (n - 2) 20 n 2 n 19 n 2 n 13 n ((n - 1) ) (n - 2) 343 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 10 n 3 7 10 n 3 7 24 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 1199 n ((n - 1) ) (n - 2) 16691 n ((n - 1) ) (n - 2) - ----------------------------- + ------------------------------ 10 n 3 7 10 n 3 7 12 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 16 n 2 n 15 n 2 n 27063 n ((n - 1) ) (n - 2) 106051 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 8 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 14 n 2 n 13 n 2 n 88768 n ((n - 1) ) (n - 2) 477932 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 12 n 2 n 11 n 2 n 199006 n ((n - 1) ) (n - 2) 54648 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------ 10 n 3 7 10 n 3 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 10 n 2 n 9 n 2 n 26592 n ((n - 1) ) (n - 2) 5760 n ((n - 1) ) (n - 2) - ------------------------------ + ---------------------------- 10 n 3 7 10 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n n 38 n 4 n n (n - 1) (n - 3) n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 5 n 2 10 18 n 5 12 36 (n - 1) (n ) (n - 3) 576 (n - 1) (n ) (n - 4) 37 n 4 n 36 n 4 n 11 n ((n - 1) ) (n - 4) 511 n ((n - 1) ) (n - 4) - ---------------------------- + ---------------------------- 18 n 5 12 18 n 5 12 64 (n - 1) (n ) (n - 4) 64 (n - 1) (n ) (n - 4) 3 n 5 n 1552242166675200000 n (n - 8) 18666001884726000000 n (n - 8) + ------------------------------- + -------------------------------- n 21 n 21 n (n - 8) n (n - 8) 4 n 17 n n 7936949245987440000 n (n - 8) 398181407 n (n - 1) (n - 5) - ------------------------------- + ------------------------------- n 21 5 n 2 13 n (n - 8) 24 (n - 1) (n ) (n - 5) 16 n n 15 n n 4941961453 n (n - 1) (n - 5) 12084698483 n (n - 1) (n - 5) - -------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 48 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 14 n n 11 n n 3889581111 n (n - 1) (n - 5) 25754324266 n (n - 1) (n - 5) - -------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 2 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 12 n n 7 n n 126564948163 n (n - 1) (n - 5) 10097118720 n (n - 1) (n - 5) - ---------------------------------- + -------------------------------- 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 35514732224 n (n - 1) (n - 5) 1916006400 n (n - 1) (n - 5) - --------------------------------- - ------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 30 n 4 n 29 n 4 n 7 n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + ---------------------------- - --------------------------- 16 n 5 8 16 n 5 8 576 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 28 n 4 n 27 n 4 n 77 n ((n - 1) ) (n - 2) 24731 n ((n - 1) ) (n - 2) + --------------------------- - ------------------------------ 16 n 5 8 16 n 5 8 6 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 50057 n ((n - 1) ) (n - 2) 493255 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 16 n 5 8 16 n 5 8 32 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 7245455 n ((n - 1) ) (n - 2) 8977675 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 16 n 5 8 16 n 5 8 144 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 22 n 4 n 21 n 4 n 102195205 n ((n - 1) ) (n - 2) 167002255 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 16 n 5 8 16 n 5 8 192 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 20 n 4 n 19 n 4 n 92104621 n ((n - 1) ) (n - 2) 9468599 n ((n - 1) ) (n - 2) + --------------------------------- - -------------------------------- 16 n 5 8 16 n 5 8 48 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 8427573 n ((n - 1) ) (n - 2) 1276569 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 16 n 5 8 16 n 5 8 4 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 16 n 4 n 15 n 4 n 470421 n ((n - 1) ) (n - 2) 79380 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 16 n 5 8 16 n 5 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 3 n 23 n 3 n 619843 n ((n - 1) ) (n - 3) 1162273 n ((n - 1) ) (n - 3) - ------------------------------- + -------------------------------- 12 n 4 10 12 n 4 10 36 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 28 n 3 n 27 n 3 n 7 n ((n - 1) ) (n - 3) 217 n ((n - 1) ) (n - 3) - ----------------------------- + ---------------------------- 12 n 4 10 12 n 4 10 144 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 26 n 3 n 25 n 3 n 2051 n ((n - 1) ) (n - 3) 105931 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------- 12 n 4 10 12 n 4 10 24 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 65858485 n ((n - 1) ) (n - 3) 315722225 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 12 n 4 10 12 n 4 10 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 776796335 n ((n - 1) ) (n - 3) 1661377165 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 12 n 4 10 12 n 4 10 48 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 3649761773 n ((n - 1) ) (n - 3) 169807841 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 12 n 4 10 12 n 4 10 36 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 212597959 n ((n - 1) ) (n - 3) 192320268 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 118512828 n ((n - 1) ) (n - 3) 44419536 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 12 n 4 10 12 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 25 n 2 n 7620480 n ((n - 1) ) (n - 3) 189 n ((n - 1) ) (n - 4) - -------------------------------- - ---------------------------- 12 n 4 10 8 n 3 12 (n - 1) (n ) (n - 3) 32 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 658 n ((n - 1) ) (n - 4) 118979 n ((n - 1) ) (n - 4) + ---------------------------- - ------------------------------- 8 n 3 12 8 n 3 12 3 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 26 n 2 n 16 n 2 n 7 n ((n - 1) ) (n - 4) 10251195913 n ((n - 1) ) (n - 4) + --------------------------- + ------------------------------------ 8 n 3 12 8 n 3 12 96 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 12 n 2 n 13392570492 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 12 (n - 1) (n ) (n - 4) 11 n 2 n 8747486622 n ((n - 1) ) (n - 4) - ----------------------------------- 8 n 3 12 (n - 1) (n ) (n - 4) 14 n 2 n 10521317331 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 12 (n - 1) (n ) (n - 4) 15 n 2 n 142495216703 n ((n - 1) ) (n - 4) - ------------------------------------- 8 n 3 12 24 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 3470289480 n ((n - 1) ) (n - 4) 40815971 n ((n - 1) ) (n - 4) + ----------------------------------- - --------------------------------- 8 n 3 12 8 n 3 12 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 22 n 2 n 20 n 2 n 1221717 n ((n - 1) ) (n - 4) 21266350 n ((n - 1) ) (n - 4) + -------------------------------- + --------------------------------- 8 n 3 12 8 n 3 12 16 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 18 n 2 n 21404079235 n ((n - 1) ) (n - 4) + ------------------------------------ 8 n 3 12 96 (n - 1) (n ) (n - 4) 17 n 2 n 19 n 2 n 82234408795 n ((n - 1) ) (n - 4) 90369895 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 8 n 3 12 8 n 3 12 96 (n - 1) (n ) (n - 4) 2 (n - 1) (n ) (n - 4) 13 n 2 n 9 n 2 n 27921950427 n ((n - 1) ) (n - 4) 628689600 n ((n - 1) ) (n - 4) - ------------------------------------ - --------------------------------- 8 n 3 12 8 n 3 12 2 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 22 n n 21 n n 5929 n (n - 1) (n - 5) 87815 n (n - 1) (n - 5) - --------------------------- + --------------------------- 4 n 2 14 4 n 2 14 24 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 20 n n 19 n n 1188537 n (n - 1) (n - 5) 52648855 n (n - 1) (n - 5) - ----------------------------- + ------------------------------ 4 n 2 14 4 n 2 14 8 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 18 n n 17 n n 219596923 n (n - 1) (n - 5) 2506808395 n (n - 1) (n - 5) - ------------------------------- + -------------------------------- 4 n 2 14 4 n 2 14 9 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 16 n n 15 n n 66953811925 n (n - 1) (n - 5) 351089023285 n (n - 1) (n - 5) - --------------------------------- + ---------------------------------- 4 n 2 14 4 n 2 14 48 (n - 1) (n ) (n - 5) 48 (n - 1) (n ) (n - 5) 14 n n 13 n n 241418109569 n (n - 1) (n - 5) 293036146585 n (n - 1) (n - 5) - ---------------------------------- + ---------------------------------- 4 n 2 14 4 n 2 14 8 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 722571540600 n (n - 1) (n - 5) 514826135712 n (n - 1) (n - 5) + --------------------------------- - --------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 12 n n 475679207815 n (n - 1) (n - 5) 2214704960314 n (n - 1) (n - 5) + ---------------------------------- - ----------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 7 n n 10 n n 222165175680 n (n - 1) (n - 5) 689529802514 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 4 n 2 14 4 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 21 n 22 n 43589145600 n (n - 1) (n - 5) 10475 n (n - 6) 25 n (n - 6) - -------------------------------- + ------------------ - --------------- 4 n 2 14 n 17 n 17 (n - 1) (n ) (n - 5) 48 n (n - 6) 8 n (n - 6) 19 n 20 n 23 n 2258351 n (n - 6) 75415 n (n - 6) n (n - 6) + -------------------- - ------------------ + --------------- n 17 n 17 n 17 8 n (n - 6) 8 n (n - 6) 48 n (n - 6) 18 n 17 n 24897945 n (n - 6) 2514603875 n (n - 6) - --------------------- + ----------------------- n 17 n 17 4 n (n - 6) 24 n (n - 6) 16 n 15 n 5510228615 n (n - 6) 689068603301 n (n - 6) - ----------------------- + ------------------------- n 17 n 17 4 n (n - 6) 48 n (n - 6) 14 n 13 n 957105541405 n (n - 6) 12815607813125 n (n - 6) - ------------------------- + --------------------------- n 17 n 17 8 n (n - 6) 16 n (n - 6) 12 n 11 n 34489755900795 n (n - 6) 55809768372661 n (n - 6) - --------------------------- + --------------------------- n 17 n 17 8 n (n - 6) 3 n (n - 6) 10 n 6 n 63930789769865 n (n - 6) 658858097466720 n (n - 6) - --------------------------- - --------------------------- n 17 n 17 n (n - 6) n (n - 6) 5 n 8 n 515368061481600 n (n - 6) 362643736444070 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 n (n - 6) n (n - 6) 9 n 4 n 519105720568475 n (n - 6) 243962990208000 n (n - 6) + --------------------------- - --------------------------- n 17 n 17 3 n (n - 6) n (n - 6) 7 n 3 n 573698886702792 n (n - 6) 52306974720000 n (n - 6) + --------------------------- + -------------------------- n 17 n 17 n (n - 6) n (n - 6) 17 n 16 n 15 n n (n - 4) 83 n (n - 4) 3113 n (n - 4) + --------------- - --------------- + ----------------- n 13 n 13 n 13 72 n (n - 4) 72 n (n - 4) 72 n (n - 4) 14 n 13 n 12 n 69823 n (n - 4) 348205 n (n - 4) 3669523 n (n - 4) - ------------------ + ------------------- - -------------------- n 13 n 13 n 13 72 n (n - 4) 24 n (n - 4) 24 n (n - 4) 11 n 10 n 6 n 84120179 n (n - 4) 472581109 n (n - 4) 272615694 n (n - 4) + --------------------- - ---------------------- - --------------------- n 13 n 13 n 13 72 n (n - 4) 72 n (n - 4) n (n - 4) 5 n 8 n 9 n 270841296 n (n - 4) 742058746 n (n - 4) 489374743 n (n - 4) + --------------------- - --------------------- + --------------------- n 13 n 13 n 13 n (n - 4) 9 n (n - 4) 18 n (n - 4) 4 n 7 n 3 n 157134240 n (n - 4) 539369792 n (n - 4) 39916800 n (n - 4) - --------------------- + --------------------- + -------------------- n 13 n 13 n 13 n (n - 4) 3 n (n - 4) n (n - 4) 19 n n 20 n n 65 n (n - 1) (n - 4) n (n - 1) (n - 4) + --------------------------- - --------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 12 n 3 n 28 n 3 n 2903040 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - -------------------------------- - --------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 19 n ((n - 1) ) (n - 3) 1493 n ((n - 1) ) (n - 3) + --------------------------- - ----------------------------- 13 n 4 9 13 n 4 9 8 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 25 n 3 n 24 n 3 n 23861 n ((n - 1) ) (n - 3) 86837 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 13 n 4 9 13 n 4 9 24 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 23 n 3 n 22 n 3 n 2060887 n ((n - 1) ) (n - 3) 12223535 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 13 n 4 9 13 n 4 9 24 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 20 n 2 n 19 n 2 n 29742295 n ((n - 1) ) (n - 4) 177109595 n ((n - 1) ) (n - 4) + --------------------------------- - ---------------------------------- 9 n 3 11 9 n 3 11 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 18 n 2 n 1640031635 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 11 36 (n - 1) (n ) (n - 4) 17 n 2 n 1484581780 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 3 11 9 (n - 1) (n ) (n - 4) 16 n 2 n 4204112459 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 11 9 (n - 1) (n ) (n - 4) 15 n 2 n 9258179896 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 3 11 9 (n - 1) (n ) (n - 4) 14 n 2 n 1739883028 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 11 (n - 1) (n ) (n - 4) 13 n 2 n 2212236992 n ((n - 1) ) (n - 4) - ----------------------------------- 9 n 3 11 (n - 1) (n ) (n - 4) 12 n 2 n 2041191696 n ((n - 1) ) (n - 4) + ----------------------------------- 9 n 3 11 (n - 1) (n ) (n - 4) 11 n 2 n 10 n 2 n 1286993664 n ((n - 1) ) (n - 4) 494588160 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 9 n 3 11 9 n 3 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 21 n 2 n 9 n 2 n 3835447 n ((n - 1) ) (n - 4) 87091200 n ((n - 1) ) (n - 4) - -------------------------------- - -------------------------------- 9 n 3 11 9 n 3 11 18 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 13 n 12 n 11 n 7 n (n - 3) 329 n (n - 3) 280 n (n - 3) + --------------- - ---------------- + ---------------- n 10 n 10 n 10 72 n (n - 3) 72 n (n - 3) 3 n (n - 3) 10 n 9 n 8 n 13055 n (n - 3) 191737 n (n - 3) 923699 n (n - 3) - ------------------ + ------------------ - ------------------ n 10 n 10 n 10 12 n (n - 3) 24 n (n - 3) 24 n (n - 3) 7 n 6 n 5 n 4418155 n (n - 3) 4585105 n (n - 3) 327831 n (n - 3) + ------------------- - ------------------- + ------------------ n 10 n 10 n 10 36 n (n - 3) 18 n (n - 3) n (n - 3) 4 n 3 n 38 n 8 234892 n (n - 3) 70560 n (n - 3) 30889201 n ((n - 1) ) - ------------------ + ----------------- - ------------------------ n 10 n 10 36 n 8 n (n - 3) n (n - 3) 5184 (n - 1) (n ) 37 n 8 36 n 8 84554141 n ((n - 1) ) 2997565543 n ((n - 1) ) + ------------------------ - -------------------------- 36 n 8 36 n 8 2592 (n - 1) (n ) 20736 (n - 1) (n ) 35 n 8 34 n 8 113107337 n ((n - 1) ) 2020486979 n ((n - 1) ) + ------------------------- - -------------------------- 36 n 8 36 n 8 216 (n - 1) (n ) 1296 (n - 1) (n ) 33 n 8 32 n 8 1238211653 n ((n - 1) ) 4989442829 n ((n - 1) ) + -------------------------- - -------------------------- 36 n 8 36 n 8 324 (n - 1) (n ) 648 (n - 1) (n ) 31 n 8 30 n 8 342399281 n ((n - 1) ) 152164201 n ((n - 1) ) + ------------------------- - ------------------------- 36 n 8 36 n 8 27 (n - 1) (n ) 9 (n - 1) (n ) 29 n 8 28 n 8 53898236 n ((n - 1) ) 14860279 n ((n - 1) ) + ------------------------ - ------------------------ 36 n 8 36 n 8 3 (n - 1) (n ) (n - 1) (n ) 27 n 8 26 n 8 9220848 n ((n - 1) ) 4038048 n ((n - 1) ) + ----------------------- - ----------------------- 36 n 8 36 n 8 (n - 1) (n ) (n - 1) (n ) 25 n 8 n 9 n 8 1112832 n ((n - 1) ) (n - 2) n 7 (n - 2) n + ----------------------- + -------------- - ------------- 36 n 8 7 n 7 n (n - 1) (n ) 12 (n - 2) n 4 (n - 2) n n 7 n 6 n 5 n 4 175 (n - 2) n 245 (n - 2) n 406 (n - 2) n 147 (n - 2) n + --------------- - --------------- + --------------- - --------------- 7 n 7 n 7 n 7 n 12 (n - 2) n 4 (n - 2) n 3 (n - 2) n (n - 2) n n 3 35 n 4 n 60 (n - 2) n n ((n - 1) ) (n - 3) + -------------- + ---------------------------- 7 n 19 n 5 9 (n - 2) n 216 (n - 1) (n ) (n - 3) 34 n 4 n 31 n 4 n 35 n ((n - 1) ) (n - 3) 37259 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------ 19 n 5 9 19 n 5 9 108 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 296812 n ((n - 1) ) (n - 3) 14591071 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 19 n 5 9 19 n 5 9 9 (n - 1) (n ) (n - 3) 54 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 94444597 n ((n - 1) ) (n - 3) 1962245377 n ((n - 1) ) (n - 3) - --------------------------------- + ----------------------------------- 19 n 5 9 19 n 5 9 54 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 458911949 n ((n - 1) ) (n - 3) 787188701 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 19 n 5 9 19 n 5 9 12 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 33 n 4 n 32 n 4 n 287 n ((n - 1) ) (n - 3) 3911 n ((n - 1) ) (n - 3) + ---------------------------- - ----------------------------- 19 n 5 9 19 n 5 9 27 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 24 n 4 n 3307166375 n ((n - 1) ) (n - 3) - ----------------------------------- 19 n 5 9 9 (n - 1) (n ) (n - 3) 23 n 4 n 22646820542 n ((n - 1) ) (n - 3) + ------------------------------------ 19 n 5 9 27 (n - 1) (n ) (n - 3) 22 n 4 n 41897897084 n ((n - 1) ) (n - 3) - ------------------------------------ 19 n 5 9 27 (n - 1) (n ) (n - 3) 21 n 4 n 62205455864 n ((n - 1) ) (n - 3) + ------------------------------------ 19 n 5 9 27 (n - 1) (n ) (n - 3) 20 n 4 n 24321724112 n ((n - 1) ) (n - 3) - ------------------------------------ 19 n 5 9 9 (n - 1) (n ) (n - 3) 19 n 4 n 7335229312 n ((n - 1) ) (n - 3) + ----------------------------------- 19 n 5 9 3 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 1644077568 n ((n - 1) ) (n - 3) 772564992 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 19 n 5 9 19 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 226086912 n ((n - 1) ) (n - 3) 30965760 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 19 n 5 9 19 n 5 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 30 n 3 n 29 n 3 n 7481 n ((n - 1) ) (n - 4) 264911 n ((n - 1) ) (n - 4) + ----------------------------- - ------------------------------- 15 n 4 11 15 n 4 11 36 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 28 n 3 n 31 n 2 n 387241 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 5) + ------------------------------- + ---------------------------- 15 n 4 11 9 n 3 15 8 (n - 1) (n ) (n - 4) 216 (n - 1) (n ) (n - 5) 30 n 2 n 25 n 2 n 16 n ((n - 1) ) (n - 5) 1032267821 n ((n - 1) ) (n - 5) - --------------------------- + ----------------------------------- 9 n 3 15 9 n 3 15 27 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 26 n 2 n 24 n 2 n 5846260 n ((n - 1) ) (n - 5) 5984426309 n ((n - 1) ) (n - 5) - -------------------------------- - ----------------------------------- 9 n 3 15 9 n 3 15 9 (n - 1) (n ) (n - 5) 54 (n - 1) (n ) (n - 5) 23 n 2 n 222365010821 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 3 15 216 (n - 1) (n ) (n - 5) 22 n 2 n 209194578479 n ((n - 1) ) (n - 5) - ------------------------------------- 9 n 3 15 27 (n - 1) (n ) (n - 5) 21 n 2 n 1142124758125 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 3 15 24 (n - 1) (n ) (n - 5) 20 n 2 n 8622645608213 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 15 36 (n - 1) (n ) (n - 5) 19 n 2 n 53415149946421 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 15 54 (n - 1) (n ) (n - 5) 18 n 2 n 90383263741183 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 3 15 27 (n - 1) (n ) (n - 5) 17 n 2 n 249616182357166 n ((n - 1) ) (n - 5) + ---------------------------------------- 9 n 3 15 27 (n - 1) (n ) (n - 5) 16 n 2 n 558471694181780 n ((n - 1) ) (n - 5) - ---------------------------------------- 9 n 3 15 27 (n - 1) (n ) (n - 5) 12 n 2 n 21 n 7 45457927176192 n ((n - 1) ) (n - 5) 31104 n ((n - 1) ) - --------------------------------------- - --------------------- 9 n 3 15 31 n 7 (n - 1) (n ) (n - 5) (n - 1) (n ) 21 n 7 35 n 5 n 41472 n ((n - 1) ) 41 n ((n - 1) ) (n - 2) + --------------------- - --------------------------- 32 n 7 24 n 6 6 (n - 1) (n ) 24 (n - 1) (n ) (n - 2) 26 n 5 n 25 n 5 n 158371867 n ((n - 1) ) (n - 2) 863835811 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 24 n 6 6 24 n 6 6 18 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 24 n 5 n 629079388 n ((n - 1) ) (n - 2) + ---------------------------------- 24 n 6 6 27 (n - 1) (n ) (n - 2) 24 n 4 n 3495923287568 n ((n - 1) ) (n - 4) + -------------------------------------- 19 n 5 11 81 (n - 1) (n ) (n - 4) 23 n 4 n 6857558809516 n ((n - 1) ) (n - 4) - -------------------------------------- 19 n 5 11 81 (n - 1) (n ) (n - 4) 22 n 4 n 3687980846648 n ((n - 1) ) (n - 4) + -------------------------------------- 19 n 5 11 27 (n - 1) (n ) (n - 4) 21 n 4 n 179124190832 n ((n - 1) ) (n - 4) - ------------------------------------- 19 n 5 11 (n - 1) (n ) (n - 4) 20 n 4 n 563010115568 n ((n - 1) ) (n - 4) + ------------------------------------- 19 n 5 11 3 (n - 1) (n ) (n - 4) 19 n 4 n 153178759552 n ((n - 1) ) (n - 4) - ------------------------------------- 19 n 5 11 (n - 1) (n ) (n - 4) 18 n 4 n 93745479168 n ((n - 1) ) (n - 4) + ------------------------------------ 19 n 5 11 (n - 1) (n ) (n - 4) 17 n 4 n 40418095104 n ((n - 1) ) (n - 4) - ------------------------------------ 19 n 5 11 (n - 1) (n ) (n - 4) 16 n 4 n 10932572160 n ((n - 1) ) (n - 4) + ------------------------------------ 19 n 5 11 (n - 1) (n ) (n - 4) 27 n 4 n 203909392753 n ((n - 1) ) (n - 4) - ------------------------------------- 19 n 5 11 108 (n - 1) (n ) (n - 4) 15 n 4 n 34 n 4 n 1393459200 n ((n - 1) ) (n - 4) 114421 n ((n - 1) ) (n - 4) - ----------------------------------- + ------------------------------- 19 n 5 11 19 n 5 11 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 33 n 4 n 35 n 4 n 612437 n ((n - 1) ) (n - 4) 27001 n ((n - 1) ) (n - 4) - ------------------------------- - ------------------------------ 19 n 5 11 19 n 5 11 27 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 32 n 4 n 31 n 4 n 163169987 n ((n - 1) ) (n - 4) 180626507 n ((n - 1) ) (n - 4) + ---------------------------------- - ---------------------------------- 19 n 5 11 19 n 5 11 648 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 30 n 4 n 20776261421 n ((n - 1) ) (n - 4) + ------------------------------------ 19 n 5 11 1296 (n - 1) (n ) (n - 4) 19 n n 139762203421723105 n (n - 1) (n - 7) - ---------------------------------------- 4 n 2 19 5184 (n - 1) (n ) (n - 7) 18 n n 110713532081227265 n (n - 1) (n - 7) + ---------------------------------------- 4 n 2 19 648 (n - 1) (n ) (n - 7) 17 n n 195210865444212835 n (n - 1) (n - 7) - ---------------------------------------- 4 n 2 19 216 (n - 1) (n ) (n - 7) 16 n n 1289733035609359625 n (n - 1) (n - 7) + ----------------------------------------- 4 n 2 19 324 (n - 1) (n ) (n - 7) 15 n n 1177378393506921830 n (n - 1) (n - 7) - ----------------------------------------- 4 n 2 19 81 (n - 1) (n ) (n - 7) 14 n n 1180141415050220495 n (n - 1) (n - 7) + ----------------------------------------- 4 n 2 19 27 (n - 1) (n ) (n - 7) 13 n n 321624533735778830 n (n - 1) (n - 7) - ---------------------------------------- 4 n 2 19 3 (n - 1) (n ) (n - 7) 12 n n 211656558494961500 n (n - 1) (n - 7) + ---------------------------------------- 4 n 2 19 (n - 1) (n ) (n - 7) 11 n n 330159386965280796 n (n - 1) (n - 7) - ---------------------------------------- 4 n 2 19 (n - 1) (n ) (n - 7) 10 n n 396276503068724688 n (n - 1) (n - 7) + ---------------------------------------- 4 n 2 19 (n - 1) (n ) (n - 7) 9 n n 351787079009177280 n (n - 1) (n - 7) - --------------------------------------- 4 n 2 19 (n - 1) (n ) (n - 7) 8 n n 26 n n 216716860843718400 n (n - 1) (n - 7) 24109105 n (n - 1) (n - 7) + --------------------------------------- + ------------------------------ 4 n 2 19 4 n 2 19 (n - 1) (n ) (n - 7) 72 (n - 1) (n ) (n - 7) 25 n n 29 n n 10861345585 n (n - 1) (n - 7) 3395 n (n - 1) (n - 7) - --------------------------------- - ---------------------------- 4 n 2 19 4 n 2 19 1296 (n - 1) (n ) (n - 7) 864 (n - 1) (n ) (n - 7) 28 n n 27 n n 156175 n (n - 1) (n - 7) 53858735 n (n - 1) (n - 7) + ---------------------------- - ------------------------------ 4 n 2 19 4 n 2 19 648 (n - 1) (n ) (n - 7) 5184 (n - 1) (n ) (n - 7) 31 n n 30 n n n (n - 1) (n - 7) 13 n (n - 1) (n - 7) - ----------------------------- + ---------------------------- 4 n 2 19 4 n 2 19 5184 (n - 1) (n ) (n - 7) 324 (n - 1) (n ) (n - 7) 3 n 7 n 1143281018880000 n (n - 7) 14559515925576408 n (n - 7) + ---------------------------- + ----------------------------- n 18 n 18 n (n - 7) n (n - 7) 6 n 5 n 15971387503474080 n (n - 7) 12004302162902400 n (n - 7) - ----------------------------- + ----------------------------- n 18 n 18 n (n - 7) n (n - 7) 4 n 25 n 24 n 5490322342272000 n (n - 7) n (n - 7) 23 n (n - 7) - ---------------------------- + ---------------- - --------------- n 18 n 18 n 18 n (n - 7) 576 n (n - 7) 72 n (n - 7) 22 n 21 n 20 n 47235 n (n - 7) 5305181 n (n - 7) 9210719 n (n - 7) - ------------------ + -------------------- - -------------------- n 18 n 18 n 18 32 n (n - 7) 96 n (n - 7) 6 n (n - 7) 19 n 18 n 9456009929 n (n - 7) 79745548045 n (n - 7) + ----------------------- - ------------------------ n 18 n 18 288 n (n - 7) 144 n (n - 7) 17 n 16 n 4310848459861 n (n - 7) 163789818673 n (n - 7) + -------------------------- - ------------------------- n 18 n 18 576 n (n - 7) 2 n (n - 7) 15 n 14 n 140218422776411 n (n - 7) 511166688327505 n (n - 7) + ---------------------------- - ---------------------------- n 18 n 18 192 n (n - 7) 96 n (n - 7) 13 n 12 n 4572617718659479 n (n - 7) 11126905242813443 n (n - 7) + ----------------------------- - ------------------------------ n 18 n 18 144 n (n - 7) 72 n (n - 7) 11 n 10 n 21982461930405253 n (n - 7) 3884757196431085 n (n - 7) + ------------------------------ - ----------------------------- n 18 n 18 36 n (n - 7) 2 n (n - 7) 9 n 8 n 4912116982171161 n (n - 7) 9698296245245874 n (n - 7) + ---------------------------- - ---------------------------- n 18 n 18 n (n - 7) n (n - 7) 44 n 8 43 n 8 42 n 8 7 n ((n - 1) ) 49 n ((n - 1) ) 2597 n ((n - 1) ) - --------------------- + -------------------- - -------------------- 36 n 8 36 n 8 36 n 8 20736 (n - 1) (n ) 2592 (n - 1) (n ) 5184 (n - 1) (n ) 41 n 8 40 n 8 39 n 8 7217 n ((n - 1) ) 1018997 n ((n - 1) ) 2248379 n ((n - 1) ) + -------------------- - ----------------------- + ----------------------- 36 n 8 36 n 8 36 n 8 864 (n - 1) (n ) 10368 (n - 1) (n ) 2592 (n - 1) (n ) 31 n 2 n 30 n 2 n 243745 n ((n - 1) ) (n - 6) 15366769 n ((n - 1) ) (n - 6) - ------------------------------- + --------------------------------- 10 n 3 16 10 n 3 16 1728 (n - 1) (n ) (n - 6) 3456 (n - 1) (n ) (n - 6) 29 n 2 n 40 n 5 n 181281331 n ((n - 1) ) (n - 6) n ((n - 1) ) (n - 3) - ---------------------------------- - ------------------------------ 10 n 3 16 21 n 6 11 1728 (n - 1) (n ) (n - 6) 5184 (n - 1) (n ) (n - 3) 39 n 5 n 38 n 5 n 43 n ((n - 1) ) (n - 3) 3463 n ((n - 1) ) (n - 3) + ------------------------------ - ------------------------------ 21 n 6 11 21 n 6 11 2592 (n - 1) (n ) (n - 3) 5184 (n - 1) (n ) (n - 3) 30 n 2 n 29 n 2 n n ((n - 1) ) (n - 5) 19 n ((n - 1) ) (n - 5) + --------------------------- - --------------------------- 9 n 3 14 9 n 3 14 72 (n - 1) (n ) (n - 5) 12 (n - 1) (n ) (n - 5) 28 n 2 n 25 n 2 n 6053 n ((n - 1) ) (n - 5) 2129715 n ((n - 1) ) (n - 5) + ----------------------------- - -------------------------------- 9 n 3 14 9 n 3 14 72 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 24 n 2 n 23 n 2 n 495579641 n ((n - 1) ) (n - 5) 419228137 n ((n - 1) ) (n - 5) + ---------------------------------- - ---------------------------------- 9 n 3 14 9 n 3 14 36 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 22 n 2 n 81504356789 n ((n - 1) ) (n - 5) + ------------------------------------ 9 n 3 14 72 (n - 1) (n ) (n - 5) 21 n 2 n 88749272131 n ((n - 1) ) (n - 5) - ------------------------------------ 9 n 3 14 12 (n - 1) (n ) (n - 5) 20 n 2 n 941394654707 n ((n - 1) ) (n - 5) + ------------------------------------- 9 n 3 14 24 (n - 1) (n ) (n - 5) 19 n 2 n 169406918772 n ((n - 1) ) (n - 5) - ------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 18 n 2 n 10724606415877 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 14 18 (n - 1) (n ) (n - 5) 17 n 2 n 5103672943348 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 14 3 (n - 1) (n ) (n - 5) 16 n 2 n 35261918736550 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 14 9 (n - 1) (n ) (n - 5) 12 n 2 n 9362934922752 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 11 n 2 n 5292692610048 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 14 n 2 n 10389155958296 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 15 n 2 n 21601610623360 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 3 14 3 (n - 1) (n ) (n - 5) 10 n 2 n 1847223429120 n ((n - 1) ) (n - 5) + -------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 13 n 2 n 11483193060864 n ((n - 1) ) (n - 5) - --------------------------------------- 9 n 3 14 (n - 1) (n ) (n - 5) 9 n 2 n 22 n 4 n 298896998400 n ((n - 1) ) (n - 5) 2475335 n ((n - 1) ) (n - 2) - ------------------------------------ + -------------------------------- 9 n 3 14 17 n 5 7 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 2) 18 n 4 n 17 n 4 n 2921328 n ((n - 1) ) (n - 2) 1731600 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 5 7 17 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 30 n 4 n 28 n 4 n n ((n - 1) ) (n - 2) 311 n ((n - 1) ) (n - 2) + --------------------------- + ---------------------------- 17 n 5 7 17 n 5 7 36 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 29 n 4 n 27 n 4 n 5 n ((n - 1) ) (n - 2) 11825 n ((n - 1) ) (n - 2) - -------------------------- - ------------------------------ 17 n 5 7 17 n 5 7 4 (n - 1) (n ) (n - 2) 36 (n - 1) (n ) (n - 2) 26 n 4 n 25 n 4 n 34157 n ((n - 1) ) (n - 2) 214385 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 17 n 5 7 17 n 5 7 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 24 n 4 n 23 n 4 n 3020495 n ((n - 1) ) (n - 2) 1200875 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 17 n 5 7 17 n 5 7 36 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 20 n 4 n 21 n 4 n 8396548 n ((n - 1) ) (n - 2) 15673375 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 17 n 5 7 17 n 5 7 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 16 n 4 n 19 n 4 n 625536 n ((n - 1) ) (n - 2) 3362420 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 17 n 5 7 17 n 5 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 4 n 21 n 3 n 103680 n ((n - 1) ) (n - 2) 18487125 n ((n - 1) ) (n - 3) - ------------------------------- + --------------------------------- 17 n 5 7 13 n 4 9 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 48646435 n ((n - 1) ) (n - 3) 132434395 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 13 n 4 9 13 n 4 9 6 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 46473894 n ((n - 1) ) (n - 3) 224642674 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 90497112 n ((n - 1) ) (n - 3) 79279224 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 47453184 n ((n - 1) ) (n - 3) 17324928 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 13 n 4 9 13 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 34 n 2 n 33 n 2 n n ((n - 1) ) (n - 6) 59 n ((n - 1) ) (n - 6) + ----------------------------- - ----------------------------- 8 n 3 18 8 n 3 18 3456 (n - 1) (n ) (n - 6) 1152 (n - 1) (n ) (n - 6) 32 n 2 n 31 n 2 n 3683 n ((n - 1) ) (n - 6) 383527 n ((n - 1) ) (n - 6) + ----------------------------- - ------------------------------- 8 n 3 18 8 n 3 18 864 (n - 1) (n ) (n - 6) 1728 (n - 1) (n ) (n - 6) 22 n n 21 n n 14239 n (n - 1) (n - 5) 609733 n (n - 1) (n - 5) + --------------------------- - ---------------------------- 5 n 2 14 5 n 2 14 2 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 20 n n 19 n n 9558757 n (n - 1) (n - 5) 85305773 n (n - 1) (n - 5) + ----------------------------- - ------------------------------ 5 n 2 14 5 n 2 14 4 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 18 n n 17 n n 1576282279 n (n - 1) (n - 5) 15294678035 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 5 n 2 14 5 n 2 14 6 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 16 n n 15 n n 88414895855 n (n - 1) (n - 5) 203776053611 n (n - 1) (n - 5) + --------------------------------- - ---------------------------------- 5 n 2 14 5 n 2 14 8 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 14 n n 13 n n 187189517411 n (n - 1) (n - 5) 1637468205524 n (n - 1) (n - 5) + ---------------------------------- - ----------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 2918667684096 n (n - 1) (n - 5) 1955545473024 n (n - 1) (n - 5) - ---------------------------------- + ---------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 2221925686092 n (n - 1) (n - 5) - ----------------------------------- 5 n 2 14 (n - 1) (n ) (n - 5) 12 n n 7 n n 3754266489026 n (n - 1) (n - 5) 799071298560 n (n - 1) (n - 5) + ----------------------------------- - --------------------------------- 5 n 2 14 5 n 2 14 3 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 10 n n 6 n n 2983449214848 n (n - 1) (n - 5) 149448499200 n (n - 1) (n - 5) + ----------------------------------- + --------------------------------- 5 n 2 14 5 n 2 14 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 18 n 6 24 n n 9216 n ((n - 1) ) 7 n (n - 1) (n - 5) - -------------------- - ---------------------------- 28 n 6 4 n 2 14 (n - 1) (n ) 144 (n - 1) (n ) (n - 5) 23 n n 21 n 4 n 245 n (n - 1) (n - 5) 4398523481 n ((n - 1) ) (n - 3) + --------------------------- + ----------------------------------- 4 n 2 14 20 n 5 8 48 (n - 1) (n ) (n - 5) 27 (n - 1) (n ) (n - 3) 20 n 4 n 19 n 4 n 1678395542 n ((n - 1) ) (n - 3) 494802904 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 20 n 5 8 20 n 5 8 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 18 n 4 n 17 n 4 n 108573504 n ((n - 1) ) (n - 3) 50021376 n ((n - 1) ) (n - 3) - ---------------------------------- + --------------------------------- 20 n 5 8 20 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 4 n 15 n 4 n 14372352 n ((n - 1) ) (n - 3) 1935360 n ((n - 1) ) (n - 3) - --------------------------------- + -------------------------------- 20 n 5 8 20 n 5 8 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 35 n 4 n 34 n 4 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 20 n 5 8 20 n 5 8 1728 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 33 n 4 n 36 n 5 n 32 n ((n - 1) ) (n - 3) 29 n ((n - 1) ) (n - 2) + --------------------------- + ---------------------------- 20 n 5 8 23 n 6 7 27 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 2) 37 n 5 n 34 n 5 n n ((n - 1) ) (n - 2) 3359 n ((n - 1) ) (n - 2) - ---------------------------- + ----------------------------- 23 n 6 7 23 n 6 7 432 (n - 1) (n ) (n - 2) 54 (n - 1) (n ) (n - 2) 35 n 5 n 33 n 5 n 395 n ((n - 1) ) (n - 2) 159949 n ((n - 1) ) (n - 2) - ---------------------------- - ------------------------------- 23 n 6 7 23 n 6 7 108 (n - 1) (n ) (n - 2) 216 (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n 708043 n ((n - 1) ) (n - 2) 805745 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------- 23 n 6 7 23 n 6 7 108 (n - 1) (n ) (n - 2) 18 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 6512588 n ((n - 1) ) (n - 2) 449638141 n ((n - 1) ) (n - 2) + -------------------------------- - ---------------------------------- 23 n 6 7 23 n 6 7 27 (n - 1) (n ) (n - 2) 432 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 783650125 n ((n - 1) ) (n - 2) 1107699709 n ((n - 1) ) (n - 2) + ---------------------------------- - ----------------------------------- 23 n 6 7 23 n 6 7 216 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 26 n 5 n 1269697021 n ((n - 1) ) (n - 2) + ----------------------------------- 23 n 6 7 54 (n - 1) (n ) (n - 2) 25 n 5 n 21 n 5 n 1175135375 n ((n - 1) ) (n - 2) 45185280 n ((n - 1) ) (n - 2) - ----------------------------------- - --------------------------------- 23 n 6 7 23 n 6 7 27 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 20 n 5 n 23 n 5 n 21060864 n ((n - 1) ) (n - 2) 75278164 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 23 n 6 7 23 n 6 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 5 n 19 n 5 n 580210714 n ((n - 1) ) (n - 2) 6110208 n ((n - 1) ) (n - 2) + ---------------------------------- - -------------------------------- 23 n 6 7 23 n 6 7 9 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 18 n 5 n 67693096 n ((n - 1) ) (n - 2) 829440 n ((n - 1) ) (n - 2) + --------------------------------- + ------------------------------- 23 n 6 7 23 n 6 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 3 n 31844836039 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 11 12 (n - 1) (n ) (n - 4) 20 n 3 n 121959726485 n ((n - 1) ) (n - 4) - ------------------------------------- 14 n 4 11 18 (n - 1) (n ) (n - 4) 19 n 3 n 125613008627 n ((n - 1) ) (n - 4) + ------------------------------------- 14 n 4 11 9 (n - 1) (n ) (n - 4) 18 n 3 n 68907572306 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 11 3 (n - 1) (n ) (n - 4) 17 n 3 n 29733268348 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 11 (n - 1) (n ) (n - 4) 16 n 3 n 29560550760 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 11 (n - 1) (n ) (n - 4) 15 n 3 n 21747205152 n ((n - 1) ) (n - 4) + ------------------------------------ 14 n 4 11 (n - 1) (n ) (n - 4) 14 n 3 n 11132740224 n ((n - 1) ) (n - 4) - ------------------------------------ 14 n 4 11 (n - 1) (n ) (n - 4) 13 n 3 n 3533621760 n ((n - 1) ) (n - 4) + ----------------------------------- 14 n 4 11 (n - 1) (n ) (n - 4) 24 n 3 n 12 n 3 n 2186235047 n ((n - 1) ) (n - 4) 522547200 n ((n - 1) ) (n - 4) - ----------------------------------- - ---------------------------------- 14 n 4 11 14 n 4 11 48 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 31 n 3 n 30 n 3 n 83 n ((n - 1) ) (n - 4) 535 n ((n - 1) ) (n - 4) + ----------------------------- - ---------------------------- 14 n 4 11 14 n 4 11 144 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 32 n 3 n 29 n 3 n n ((n - 1) ) (n - 4) 2137 n ((n - 1) ) (n - 4) - ----------------------------- + ----------------------------- 14 n 4 11 14 n 4 11 144 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 28 n 3 n 27 n 3 n 213623 n ((n - 1) ) (n - 4) 2630677 n ((n - 1) ) (n - 4) - ------------------------------- + -------------------------------- 14 n 4 11 14 n 4 11 24 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n n ((n - 1) ) (n - 3) 65 n ((n - 1) ) (n - 3) + ----------------------------- - ----------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 23 n 2 n 19 n 2 n 1939 n ((n - 1) ) (n - 3) 26213969 n ((n - 1) ) (n - 3) + ----------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 18 n 2 n 17 n 2 n 134017783 n ((n - 1) ) (n - 3) 264129073 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 432 (n - 1) (n ) (n - 3) 216 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 100660267 n ((n - 1) ) (n - 3) 236542400 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 423798223 n ((n - 1) ) (n - 3) 189089270 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 10 n 3 10 10 n 3 10 27 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 20298232 n ((n - 1) ) (n - 3) 13337056 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 18 n 2 n n ((n - 1) ) (n - 2) 31 n ((n - 1) ) (n - 2) + ------------------------- - --------------------------- 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 211 n ((n - 1) ) (n - 2) 1661 n ((n - 1) ) (n - 2) + ---------------------------- - ----------------------------- 8 n 3 7 8 n 3 7 4 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 16745 n ((n - 1) ) (n - 2) 56455 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 8 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 16106 n ((n - 1) ) (n - 2) 24546 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 23868 n ((n - 1) ) (n - 2) 13338 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 8 n 3 7 8 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 17 n n 3240 n ((n - 1) ) (n - 2) n (n - 1) (n - 3) + ---------------------------- - ------------------------- 8 n 3 7 4 n 2 9 (n - 1) (n ) (n - 2) 4 (n - 1) (n ) (n - 3) 16 n n 24 n n 43 n (n - 1) (n - 3) 72123739 n (n - 1) (n - 6) + ------------------------- + ------------------------------ 4 n 2 9 5 n 2 17 4 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 6) 25 n n 22 n n 8949233 n (n - 1) (n - 6) 19913162419 n (n - 1) (n - 6) - ----------------------------- + --------------------------------- 5 n 2 17 5 n 2 17 216 (n - 1) (n ) (n - 6) 72 (n - 1) (n ) (n - 6) 23 n n 26 n n 4040674163 n (n - 1) (n - 6) 183563 n (n - 1) (n - 6) - -------------------------------- + ---------------------------- 5 n 2 17 5 n 2 17 216 (n - 1) (n ) (n - 6) 144 (n - 1) (n ) (n - 6) 21 n n 1422103303381 n (n - 1) (n - 6) - ----------------------------------- 5 n 2 17 432 (n - 1) (n ) (n - 6) 20 n n 4594714330673 n (n - 1) (n - 6) + ----------------------------------- 5 n 2 17 144 (n - 1) (n ) (n - 6) 19 n n 109633252202191 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 17 432 (n - 1) (n ) (n - 6) 18 n n 239602019099183 n (n - 1) (n - 6) + ------------------------------------- 5 n 2 17 144 (n - 1) (n ) (n - 6) 17 n n 486605464998947 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 17 54 (n - 1) (n ) (n - 6) 16 n n 1450700853140477 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 17 36 (n - 1) (n ) (n - 6) 15 n n 4006698825151171 n (n - 1) (n - 6) - -------------------------------------- 5 n 2 17 27 (n - 1) (n ) (n - 6) 14 n n 4028639579147273 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 17 9 (n - 1) (n ) (n - 6) 13 n n 29612243142308896 n (n - 1) (n - 6) - --------------------------------------- 5 n 2 17 27 (n - 1) (n ) (n - 6) 9 n n 3495570869368320 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 17 (n - 1) (n ) (n - 6) 8 n n 2131403777049600 n (n - 1) (n - 6) + ------------------------------------- 5 n 2 17 (n - 1) (n ) (n - 6) 11 n n 10021570555870784 n (n - 1) (n - 6) - --------------------------------------- 5 n 2 17 3 (n - 1) (n ) (n - 6) 12 n n 15 n n 19403730989885468 n (n - 1) (n - 6) 407 n (n - 1) (n - 3) + --------------------------------------- - ------------------------- 5 n 2 17 4 n 2 9 9 (n - 1) (n ) (n - 6) 2 (n - 1) (n ) (n - 3) 14 n n 13 n n 4473 n (n - 1) (n - 3) 63369 n (n - 1) (n - 3) + -------------------------- - --------------------------- 4 n 2 9 4 n 2 9 2 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 12 n n 11 n n 303555 n (n - 1) (n - 3) 250682 n (n - 1) (n - 3) + ---------------------------- - ---------------------------- 4 n 2 9 4 n 2 9 4 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n n 9 n n 570596 n (n - 1) (n - 3) 876200 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 8 n n 7 n n 863268 n (n - 1) (n - 3) 490032 n (n - 1) (n - 3) + --------------------------- - --------------------------- 4 n 2 9 4 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 36 n 3 n 120960 n (n - 1) (n - 3) n ((n - 1) ) (n - 5) + --------------------------- - ----------------------------- 4 n 2 9 13 n 4 15 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 5) 35 n 3 n 34 n 3 n 133 n ((n - 1) ) (n - 5) 2765 n ((n - 1) ) (n - 5) + ----------------------------- - ----------------------------- 13 n 4 15 13 n 4 15 864 (n - 1) (n ) (n - 5) 288 (n - 1) (n ) (n - 5) 28 n 3 n 118146916951 n ((n - 1) ) (n - 5) - ------------------------------------- 13 n 4 15 288 (n - 1) (n ) (n - 5) 29 n 3 n 17551122443 n ((n - 1) ) (n - 5) + ------------------------------------ 13 n 4 15 432 (n - 1) (n ) (n - 5) 27 n 3 n 2929007913353 n ((n - 1) ) (n - 5) + -------------------------------------- 13 n 4 15 864 (n - 1) (n ) (n - 5) 26 n 3 n 19981096027211 n ((n - 1) ) (n - 5) - --------------------------------------- 13 n 4 15 864 (n - 1) (n ) (n - 5) 27 n 5 n 5962805404 n ((n - 1) ) (n - 3) + ----------------------------------- 23 n 6 9 3 (n - 1) (n ) (n - 3) 26 n 5 n 33964655378 n ((n - 1) ) (n - 3) - ------------------------------------ 23 n 6 9 9 (n - 1) (n ) (n - 3) 25 n 5 n 158844958540 n ((n - 1) ) (n - 3) + ------------------------------------- 23 n 6 9 27 (n - 1) (n ) (n - 3) 24 n 5 n 67006305056 n ((n - 1) ) (n - 3) - ------------------------------------ 23 n 6 9 9 (n - 1) (n ) (n - 3) 23 n 5 n 7520985624 n ((n - 1) ) (n - 3) + ----------------------------------- 23 n 6 9 (n - 1) (n ) (n - 3) 22 n 5 n 5915852864 n ((n - 1) ) (n - 3) - ----------------------------------- 23 n 6 9 (n - 1) (n ) (n - 3) 21 n 5 n 3488344320 n ((n - 1) ) (n - 3) + ----------------------------------- 23 n 6 9 (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 1449197568 n ((n - 1) ) (n - 3) 377837568 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 23 n 6 9 23 n 6 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 34 n 5 n 46448640 n ((n - 1) ) (n - 3) 3062678 n ((n - 1) ) (n - 3) - --------------------------------- - -------------------------------- 23 n 6 9 23 n 6 9 (n - 1) (n ) (n - 3) 27 (n - 1) (n ) (n - 3) 33 n 5 n 32 n 5 n 7420216 n ((n - 1) ) (n - 3) 466813669 n ((n - 1) ) (n - 3) + -------------------------------- - ---------------------------------- 23 n 6 9 23 n 6 9 9 (n - 1) (n ) (n - 3) 96 (n - 1) (n ) (n - 3) 31 n 5 n 20338312295 n ((n - 1) ) (n - 3) + ------------------------------------ 23 n 6 9 864 (n - 1) (n ) (n - 3) 30 n 5 n 6784528409 n ((n - 1) ) (n - 3) - ----------------------------------- 23 n 6 9 72 (n - 1) (n ) (n - 3) 29 n 5 n 11276185403 n ((n - 1) ) (n - 3) + ------------------------------------ 23 n 6 9 36 (n - 1) (n ) (n - 3) 28 n 5 n 38 n 4 n 46754205547 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ------------------------------------ + ------------------------------ 23 n 6 9 19 n 5 11 54 (n - 1) (n ) (n - 3) 1296 (n - 1) (n ) (n - 4) 37 n 4 n 36 n 4 n 23 n ((n - 1) ) (n - 4) 3983 n ((n - 1) ) (n - 4) - ----------------------------- + ------------------------------ 19 n 5 11 19 n 5 11 324 (n - 1) (n ) (n - 4) 1296 (n - 1) (n ) (n - 4) 26 n 4 n 1040434136021 n ((n - 1) ) (n - 4) + -------------------------------------- 19 n 5 11 162 (n - 1) (n ) (n - 4) 25 n 4 n 26 n n 1477511296049 n ((n - 1) ) (n - 4) 66288625 n (n - 1) (n - 7) - -------------------------------------- + ------------------------------ 19 n 5 11 5 n 2 18 81 (n - 1) (n ) (n - 4) 288 (n - 1) (n ) (n - 7) 10 n 6 n 5 n 1404921287 n (n - 4) 1538071388 n (n - 4) 526798951 n (n - 4) + ----------------------- + ---------------------- - --------------------- n 12 n 12 n 12 144 n (n - 4) 3 n (n - 4) n (n - 4) 8 n 9 n 4 n 1271776429 n (n - 4) 6297418897 n (n - 4) 314024340 n (n - 4) + ---------------------- - ---------------------- + --------------------- n 12 n 12 n 12 9 n (n - 4) 144 n (n - 4) n (n - 4) 15 n 16 n 14 n 3479 n (n - 4) 49 n (n - 4) 110789 n (n - 4) - ----------------- + ---------------- + ------------------- n 12 n 12 n 12 144 n (n - 4) 144 n (n - 4) 144 n (n - 4) 12 n 11 n 13 n 2898203 n (n - 4) 75471319 n (n - 4) 2091859 n (n - 4) + -------------------- - --------------------- - -------------------- n 12 n 12 n 12 16 n (n - 4) 48 n (n - 4) 144 n (n - 4) 7 n 3 n 23 n 2919122129 n (n - 4) 81496800 n (n - 4) 15853 n (n - 7) - ---------------------- - -------------------- + ------------------ n 12 n 12 n 18 9 n (n - 4) n (n - 4) 576 n (n - 7) 16 n 2 n 62102617633885828 n ((n - 1) ) (n - 6) + ------------------------------------------ 9 n 3 17 9 (n - 1) (n ) (n - 6) 12 n 2 n 10810707037808640 n ((n - 1) ) (n - 6) + ------------------------------------------ 9 n 3 17 (n - 1) (n ) (n - 6) 11 n 2 n 5645430996019200 n ((n - 1) ) (n - 6) - ----------------------------------------- 9 n 3 17 (n - 1) (n ) (n - 6) 14 n 2 n 43417244958078848 n ((n - 1) ) (n - 6) + ------------------------------------------ 9 n 3 17 3 (n - 1) (n ) (n - 6) 15 n 2 n 100842434545306232 n ((n - 1) ) (n - 6) - ------------------------------------------- 9 n 3 17 9 (n - 1) (n ) (n - 6) 10 n 2 n 1835829467136000 n ((n - 1) ) (n - 6) + ----------------------------------------- 9 n 3 17 (n - 1) (n ) (n - 6) 13 n 2 n 14487832565417984 n ((n - 1) ) (n - 6) - ------------------------------------------ 9 n 3 17 (n - 1) (n ) (n - 6) 9 n 2 n 34 n 2 n 278970531840000 n ((n - 1) ) (n - 6) n ((n - 1) ) (n - 6) - --------------------------------------- + ----------------------------- 9 n 3 17 9 n 3 17 (n - 1) (n ) (n - 6) 1296 (n - 1) (n ) (n - 6) 33 n 2 n 32 n 2 n 41 n ((n - 1) ) (n - 6) 3163 n ((n - 1) ) (n - 6) - ---------------------------- + ----------------------------- 9 n 3 17 9 n 3 17 324 (n - 1) (n ) (n - 6) 324 (n - 1) (n ) (n - 6) 31 n 2 n 30 n 2 n 305449 n ((n - 1) ) (n - 6) 20723017 n ((n - 1) ) (n - 6) - ------------------------------- + --------------------------------- 9 n 3 17 9 n 3 17 648 (n - 1) (n ) (n - 6) 1296 (n - 1) (n ) (n - 6) 25 n 7 24 n 7 1624413 n ((n - 1) ) 1213362 n ((n - 1) ) - ----------------------- + ----------------------- 31 n 7 31 n 7 (n - 1) (n ) (n - 1) (n ) 23 n 7 22 n 7 38 n 7 631800 n ((n - 1) ) 204768 n ((n - 1) ) n ((n - 1) ) - ---------------------- + ---------------------- + ------------------- 31 n 7 31 n 7 31 n 7 (n - 1) (n ) (n - 1) (n ) 576 (n - 1) (n ) 37 n 7 36 n 7 35 n 7 47 n ((n - 1) ) 115 n ((n - 1) ) 14183 n ((n - 1) ) - ------------------- + ------------------- - --------------------- 31 n 7 31 n 7 31 n 7 576 (n - 1) (n ) 64 (n - 1) (n ) 576 (n - 1) (n ) 34 n 7 33 n 7 135457 n ((n - 1) ) 318955 n ((n - 1) ) + ---------------------- - ---------------------- 31 n 7 31 n 7 576 (n - 1) (n ) 192 (n - 1) (n ) 32 n 7 31 n 7 5176913 n ((n - 1) ) 21911629 n ((n - 1) ) + ----------------------- - ------------------------ 31 n 7 31 n 7 576 (n - 1) (n ) 576 (n - 1) (n ) 30 n 7 29 n 7 4080805 n ((n - 1) ) 49036915 n ((n - 1) ) + ----------------------- - ------------------------ 31 n 7 31 n 7 32 (n - 1) (n ) 144 (n - 1) (n ) 28 n 7 27 n 7 52153897 n ((n - 1) ) 14645099 n ((n - 1) ) + ------------------------ - ------------------------ 31 n 7 31 n 7 72 (n - 1) (n ) 12 (n - 1) (n ) 26 n 7 6 n n 3217515 n ((n - 1) ) 14481559572480000 n (n - 1) (n - 7) + ----------------------- + -------------------------------------- 31 n 7 4 n 2 19 2 (n - 1) (n ) (n - 1) (n ) (n - 7) 11 n 2 n 25314973323264 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 15 (n - 1) (n ) (n - 5) 14 n 2 n 156931376477008 n ((n - 1) ) (n - 5) - ---------------------------------------- 9 n 3 15 3 (n - 1) (n ) (n - 5) 15 n 2 n 333590016601928 n ((n - 1) ) (n - 5) + ---------------------------------------- 9 n 3 15 9 (n - 1) (n ) (n - 5) 10 n 2 n 8720008335360 n ((n - 1) ) (n - 5) - -------------------------------------- 9 n 3 15 (n - 1) (n ) (n - 5) 13 n 2 n 56709212591616 n ((n - 1) ) (n - 5) + --------------------------------------- 9 n 3 15 (n - 1) (n ) (n - 5) 9 n 2 n 28 n 2 n 1394852659200 n ((n - 1) ) (n - 5) 141887 n ((n - 1) ) (n - 5) + ------------------------------------- - ------------------------------- 9 n 3 15 9 n 3 15 (n - 1) (n ) (n - 5) 108 (n - 1) (n ) (n - 5) 27 n 2 n 29 n 2 n 1222033 n ((n - 1) ) (n - 5) 7649 n ((n - 1) ) (n - 5) + -------------------------------- + ----------------------------- 9 n 3 15 9 n 3 15 36 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 5) 21 n 20 n 248169943 n (n - 7) 17856185657 n (n - 7) - ---------------------- + ------------------------ n 19 n 19 288 n (n - 7) 864 n (n - 7) 19 n 18 n 339155284741 n (n - 7) 10371510111281 n (n - 7) - ------------------------- + --------------------------- n 19 n 19 864 n (n - 7) 1728 n (n - 7) 17 n 16 n 129077588515183 n (n - 7) 438971052035963 n (n - 7) - ---------------------------- + ---------------------------- n 19 n 19 1728 n (n - 7) 576 n (n - 7) 15 n 14 n 3686483409406819 n (n - 7) 38281736671986743 n (n - 7) - ----------------------------- + ------------------------------ n 19 n 19 576 n (n - 7) 864 n (n - 7) 13 n 12 n 109133547140156987 n (n - 7) 255376123474265923 n (n - 7) - ------------------------------- + ------------------------------- n 19 n 19 432 n (n - 7) 216 n (n - 7) 11 n 10 n 487592406213459337 n (n - 7) 83634620696532937 n (n - 7) - ------------------------------- + ------------------------------ n 19 n 19 108 n (n - 7) 6 n (n - 7) 9 n 8 n 34342839635499311 n (n - 7) 66275714861749338 n (n - 7) - ----------------------------- + ----------------------------- n 19 n 19 n (n - 7) n (n - 7) 7 n 9 n 2 n 97534063363141944 n (n - 7) 444609285120000 n ((n - 1) ) (n - 6) - ----------------------------- - --------------------------------------- n 19 8 n 3 18 n (n - 7) (n - 1) (n ) (n - 6) 10 n 2 n 9 n 2 n 5318016 n ((n - 1) ) (n - 3) 967680 n ((n - 1) ) (n - 3) - -------------------------------- + ------------------------------ 10 n 3 10 10 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 21 n 22 n 124131 n (n - 6) 469 n (n - 6) 7 n (n - 6) - ------------------- - ---------------- + ---------------- n 16 n 16 n 16 32 n (n - 6) 288 n (n - 6) 576 n (n - 6) 20 n 10 n 19439 n (n - 6) 71402857809493 n (n - 6) + ------------------ + --------------------------- n 16 n 16 192 n (n - 6) 36 n (n - 6) 6 n 5 n 22880805346770 n (n - 6) 18241004640600 n (n - 6) + -------------------------- - -------------------------- n 16 n 16 n (n - 6) n (n - 6) 18 n 16 n 17 n 9850169 n (n - 6) 8435737877 n (n - 6) 95484263 n (n - 6) + -------------------- + ----------------------- - --------------------- n 16 n 16 n 16 96 n (n - 6) 288 n (n - 6) 48 n (n - 6) 15 n 14 n 48228897899 n (n - 6) 578943585857 n (n - 6) - ------------------------ + ------------------------- n 16 n 16 144 n (n - 6) 192 n (n - 6) 13 n 12 n 689396700993 n (n - 6) 23527171396547 n (n - 6) - ------------------------- + --------------------------- n 16 n 16 32 n (n - 6) 192 n (n - 6) 11 n 8 n 53210920133189 n (n - 6) 144042093511631 n (n - 6) - --------------------------- + --------------------------- n 16 n 16 96 n (n - 6) 12 n (n - 6) 9 n 4 n 200100860215277 n (n - 6) 8775294948000 n (n - 6) - --------------------------- + ------------------------- n 16 n 16 36 n (n - 6) n (n - 6) 7 n 3 n 38972109820399 n (n - 6) 1907025120000 n (n - 6) - -------------------------- - ------------------------- n 16 n 16 2 n (n - 6) n (n - 6) 32 n 6 31 n 6 30 n 6 n ((n - 1) ) 19 n ((n - 1) ) 667 n ((n - 1) ) - ------------------- + ------------------ - ------------------- 26 n 6 26 n 6 26 n 6 144 (n - 1) (n ) 72 (n - 1) (n ) 144 (n - 1) (n ) 29 n 6 28 n 6 27 n 6 448 n ((n - 1) ) 52691 n ((n - 1) ) 140135 n ((n - 1) ) + ------------------- - --------------------- + ---------------------- 26 n 6 26 n 6 26 n 6 9 (n - 1) (n ) 144 (n - 1) (n ) 72 (n - 1) (n ) 26 n 6 25 n 6 1112485 n ((n - 1) ) 836915 n ((n - 1) ) - ----------------------- + ---------------------- 26 n 6 26 n 6 144 (n - 1) (n ) 36 (n - 1) (n ) 24 n 6 23 n 6 22 n 6 1918615 n ((n - 1) ) 92630 n ((n - 1) ) 120159 n ((n - 1) ) - ----------------------- + --------------------- - ---------------------- 26 n 6 26 n 6 26 n 6 36 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 21 n 6 20 n 6 19 n 6 112812 n ((n - 1) ) 72468 n ((n - 1) ) 28512 n ((n - 1) ) + ---------------------- - --------------------- + --------------------- 26 n 6 26 n 6 26 n 6 (n - 1) (n ) (n - 1) (n ) (n - 1) (n ) 20 n n 19 n n 589 n (n - 1) (n - 4) 42943 n (n - 1) (n - 4) - -------------------------- + --------------------------- 4 n 2 13 4 n 2 13 6 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 18 n n 17 n n 353102 n (n - 1) (n - 4) 2775097 n (n - 1) (n - 4) - ---------------------------- + ----------------------------- 4 n 2 13 4 n 2 13 9 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 16 n n 15 n n 72715357 n (n - 1) (n - 4) 479616709 n (n - 1) (n - 4) - ------------------------------ + ------------------------------- 4 n 2 13 4 n 2 13 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 14 n n 13 n n 1608375197 n (n - 1) (n - 4) 9279725741 n (n - 1) (n - 4) - -------------------------------- + -------------------------------- 4 n 2 13 4 n 2 13 12 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 9 n n 8 n n 6294069768 n (n - 1) (n - 4) 4901271552 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 3332542356 n (n - 1) (n - 4) 13593054670 n (n - 1) (n - 4) + -------------------------------- - --------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 7 n n 10 n n 2284778880 n (n - 1) (n - 4) 5425318700 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 22 n n 479001600 n (n - 1) (n - 4) n (n - 1) (n - 4) - ------------------------------ - --------------------------- 4 n 2 13 4 n 2 13 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 25 n 3 n 4191586204885 n ((n - 1) ) (n - 5) + -------------------------------------- 13 n 4 15 32 (n - 1) (n ) (n - 5) 24 n 3 n 66751838121353 n ((n - 1) ) (n - 5) - --------------------------------------- 13 n 4 15 108 (n - 1) (n ) (n - 5) 23 n 3 n 131361521922097 n ((n - 1) ) (n - 5) + ---------------------------------------- 13 n 4 15 54 (n - 1) (n ) (n - 5) 22 n 3 n 7979425471318 n ((n - 1) ) (n - 5) - -------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 21 n 3 n 587213047103677 n ((n - 1) ) (n - 5) + ---------------------------------------- 13 n 4 15 27 (n - 1) (n ) (n - 5) 20 n 3 n 1322706403714420 n ((n - 1) ) (n - 5) - ----------------------------------------- 13 n 4 15 27 (n - 1) (n ) (n - 5) 19 n 3 n 813921900201056 n ((n - 1) ) (n - 5) + ---------------------------------------- 13 n 4 15 9 (n - 1) (n ) (n - 5) 15 n 3 n 102010609502208 n ((n - 1) ) (n - 5) + ---------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 14 n 3 n 49221183568896 n ((n - 1) ) (n - 5) - --------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 17 n 3 n 160716685772072 n ((n - 1) ) (n - 5) + ---------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 18 n 3 n 135163712780312 n ((n - 1) ) (n - 5) - ---------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 13 n 3 n 14823578327040 n ((n - 1) ) (n - 5) + --------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 16 n 3 n 148214971188480 n ((n - 1) ) (n - 5) - ---------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 12 n 3 n 2092278988800 n ((n - 1) ) (n - 5) - -------------------------------------- 13 n 4 15 (n - 1) (n ) (n - 5) 32 n 3 n 31 n 3 n 4398481 n ((n - 1) ) (n - 5) 29778979 n ((n - 1) ) (n - 5) - -------------------------------- + --------------------------------- 13 n 4 15 13 n 4 15 432 (n - 1) (n ) (n - 5) 144 (n - 1) (n ) (n - 5) 30 n 3 n 33 n 3 n 1405040015 n ((n - 1) ) (n - 5) 322787 n ((n - 1) ) (n - 5) - ----------------------------------- + ------------------------------- 13 n 4 15 13 n 4 15 432 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 5) 34 n 4 n 33 n 4 n n ((n - 1) ) (n - 3) 71 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 17 n 5 10 17 n 5 10 72 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 32 n 4 n 27 n 4 n 1171 n ((n - 1) ) (n - 3) 43220462 n ((n - 1) ) (n - 3) + ----------------------------- - --------------------------------- 17 n 5 10 17 n 5 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 26 n 4 n 31 n 4 n 1705733173 n ((n - 1) ) (n - 3) 3977 n ((n - 1) ) (n - 3) + ----------------------------------- - ----------------------------- 17 n 5 10 17 n 5 10 72 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 336893 n ((n - 1) ) (n - 3) 3502787 n ((n - 1) ) (n - 3) + ------------------------------- - -------------------------------- 17 n 5 10 17 n 5 10 36 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 28 n 4 n 25 n 4 n 13912627 n ((n - 1) ) (n - 3) 749170995 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 17 n 5 10 17 n 5 10 18 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 24 n 4 n 10725243283 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 5 10 36 (n - 1) (n ) (n - 3) 23 n 4 n 13734154079 n ((n - 1) ) (n - 3) - ------------------------------------ 17 n 5 10 18 (n - 1) (n ) (n - 3) 22 n 4 n 14102723219 n ((n - 1) ) (n - 3) + ------------------------------------ 17 n 5 10 9 (n - 1) (n ) (n - 3) 21 n 4 n 7674754526 n ((n - 1) ) (n - 3) - ----------------------------------- 17 n 5 10 3 (n - 1) (n ) (n - 3) 20 n 4 n 3272094388 n ((n - 1) ) (n - 3) + ----------------------------------- 17 n 5 10 (n - 1) (n ) (n - 3) 19 n 4 n 3203917992 n ((n - 1) ) (n - 3) - ----------------------------------- 17 n 5 10 (n - 1) (n ) (n - 3) 18 n 4 n 2315547504 n ((n - 1) ) (n - 3) + ----------------------------------- 17 n 5 10 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1162228608 n ((n - 1) ) (n - 3) 361200384 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 17 n 5 10 17 n 5 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 28 n 3 n 52254720 n ((n - 1) ) (n - 3) 869615 n ((n - 1) ) (n - 4) - --------------------------------- - ------------------------------- 17 n 5 10 13 n 4 12 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 4) 27 n 3 n 26 n 3 n 5731565 n ((n - 1) ) (n - 4) 115515751 n ((n - 1) ) (n - 4) + -------------------------------- - ---------------------------------- 13 n 4 12 13 n 4 12 12 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 29 n 3 n 19 n 3 n 48595 n ((n - 1) ) (n - 4) 556336842455 n ((n - 1) ) (n - 4) + ------------------------------ + ------------------------------------- 13 n 4 12 13 n 4 12 24 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 15 n 3 n 165919325400 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 12 (n - 1) (n ) (n - 4) 14 n 3 n 87378689088 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 12 (n - 1) (n ) (n - 4) 17 n 3 n 212793597870 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 12 (n - 1) (n ) (n - 4) 18 n 3 n 158597375635 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 12 (n - 1) (n ) (n - 4) 13 n 3 n 28466536320 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 12 (n - 1) (n ) (n - 4) 24 n 3 n 11442377669 n ((n - 1) ) (n - 4) - ------------------------------------ 13 n 4 12 48 (n - 1) (n ) (n - 4) 25 n 3 n 455743625 n ((n - 1) ) (n - 4) + ---------------------------------- 13 n 4 12 12 (n - 1) (n ) (n - 4) 23 n 3 n 28856093405 n ((n - 1) ) (n - 4) + ------------------------------------ 13 n 4 12 24 (n - 1) (n ) (n - 4) 21 n 3 n 388287979595 n ((n - 1) ) (n - 4) + ------------------------------------- 13 n 4 12 24 (n - 1) (n ) (n - 4) 20 n 3 n 172741027689 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 12 4 (n - 1) (n ) (n - 4) 22 n 3 n 235250080031 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 12 48 (n - 1) (n ) (n - 4) 16 n 3 n 218705116284 n ((n - 1) ) (n - 4) - ------------------------------------- 13 n 4 12 (n - 1) (n ) (n - 4) 12 n 3 n 31 n 3 n 4311014400 n ((n - 1) ) (n - 4) 15 n ((n - 1) ) (n - 4) - ----------------------------------- + --------------------------- 13 n 4 12 13 n 4 12 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 30 n 3 n 32 n 3 n 3763 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ----------------------------- - ---------------------------- 13 n 4 12 13 n 4 12 48 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 4) 42 n 6 n 41 n 6 n n ((n - 1) ) (n - 2) 7 n ((n - 1) ) (n - 2) + ----------------------------- - ---------------------------- 27 n 7 7 27 n 7 7 1296 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 37 n 6 n 39 n 6 n 2296447 n ((n - 1) ) (n - 2) 2195 n ((n - 1) ) (n - 2) - -------------------------------- - ----------------------------- 27 n 7 7 27 n 7 7 648 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 40 n 6 n 38 n 6 n 469 n ((n - 1) ) (n - 2) 231869 n ((n - 1) ) (n - 2) + ---------------------------- + ------------------------------- 27 n 7 7 27 n 7 7 324 (n - 1) (n ) (n - 2) 648 (n - 1) (n ) (n - 2) 28 n 6 n 24 n 6 n 658758644 n ((n - 1) ) (n - 2) 127508736 n ((n - 1) ) (n - 2) + ---------------------------------- + ---------------------------------- 27 n 7 7 27 n 7 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 23 n 6 n 36 n 6 n 52581888 n ((n - 1) ) (n - 2) 2213633 n ((n - 1) ) (n - 2) - --------------------------------- + -------------------------------- 27 n 7 7 27 n 7 7 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 34 n 6 n 35 n 6 n 1086672461 n ((n - 1) ) (n - 2) 13617740 n ((n - 1) ) (n - 2) + ----------------------------------- - --------------------------------- 27 n 7 7 27 n 7 7 1296 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 2) 33 n 6 n 4440699403 n ((n - 1) ) (n - 2) - ----------------------------------- 27 n 7 7 1296 (n - 1) (n ) (n - 2) 32 n 6 n 3741282233 n ((n - 1) ) (n - 2) + ----------------------------------- 27 n 7 7 324 (n - 1) (n ) (n - 2) 31 n 6 n 5214421481 n ((n - 1) ) (n - 2) - ----------------------------------- 27 n 7 7 162 (n - 1) (n ) (n - 2) 30 n 6 n 2003642497 n ((n - 1) ) (n - 2) + ----------------------------------- 27 n 7 7 27 (n - 1) (n ) (n - 2) 29 n 6 n 11425400080 n ((n - 1) ) (n - 2) - ------------------------------------ 27 n 7 7 81 (n - 1) (n ) (n - 2) 26 n 6 n 27 n 6 n 835319744 n ((n - 1) ) (n - 2) 2492673176 n ((n - 1) ) (n - 2) + ---------------------------------- - ----------------------------------- 27 n 7 7 27 n 7 7 3 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 22 n 6 n 25 n 6 n 13602816 n ((n - 1) ) (n - 2) 217715280 n ((n - 1) ) (n - 2) + --------------------------------- - ---------------------------------- 27 n 7 7 27 n 7 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 6 n 40 n 5 n 1658880 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 3) - -------------------------------- - ---------------------------- 27 n 7 7 23 n 6 9 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 3) 39 n 5 n 38 n 5 n 25 n ((n - 1) ) (n - 3) 221 n ((n - 1) ) (n - 3) + ---------------------------- - ---------------------------- 23 n 6 9 23 n 6 9 288 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 37 n 5 n 36 n 5 n 3677 n ((n - 1) ) (n - 3) 51061 n ((n - 1) ) (n - 3) + ----------------------------- - ------------------------------ 23 n 6 9 23 n 6 9 54 (n - 1) (n ) (n - 3) 48 (n - 1) (n ) (n - 3) 35 n 5 n 32 n 3 n 1793065 n ((n - 1) ) (n - 3) 29 n ((n - 1) ) (n - 4) + -------------------------------- + ----------------------------- 23 n 6 9 15 n 4 11 144 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 4) 31 n 3 n 33 n 3 n 1771 n ((n - 1) ) (n - 4) n ((n - 1) ) (n - 4) - ----------------------------- - ----------------------------- 15 n 4 11 15 n 4 11 216 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 4) 26 n 3 n 25 n 3 n 35485781 n ((n - 1) ) (n - 4) 10986185333 n ((n - 1) ) (n - 4) + --------------------------------- - ------------------------------------ 15 n 4 11 15 n 4 11 9 (n - 1) (n ) (n - 4) 432 (n - 1) (n ) (n - 4) 27 n 3 n 23 n 3 n 53062027 n ((n - 1) ) (n - 4) 41124540121 n ((n - 1) ) (n - 4) - --------------------------------- - ------------------------------------ 15 n 4 11 15 n 4 11 108 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 22 n 3 n 8034740189 n ((n - 1) ) (n - 4) + ----------------------------------- 15 n 4 11 4 (n - 1) (n ) (n - 4) 21 n 3 n 313028742719 n ((n - 1) ) (n - 4) - ------------------------------------- 15 n 4 11 54 (n - 1) (n ) (n - 4) 20 n 3 n 123177487199 n ((n - 1) ) (n - 4) + ------------------------------------- 15 n 4 11 9 (n - 1) (n ) (n - 4) 19 n 3 n 709174751426 n ((n - 1) ) (n - 4) - ------------------------------------- 15 n 4 11 27 (n - 1) (n ) (n - 4) 18 n 3 n 364830094268 n ((n - 1) ) (n - 4) + ------------------------------------- 15 n 4 11 9 (n - 1) (n ) (n - 4) 17 n 3 n 148493624152 n ((n - 1) ) (n - 4) - ------------------------------------- 15 n 4 11 3 (n - 1) (n ) (n - 4) 16 n 3 n 46663136064 n ((n - 1) ) (n - 4) + ------------------------------------ 15 n 4 11 (n - 1) (n ) (n - 4) 15 n 3 n 32707186944 n ((n - 1) ) (n - 4) - ------------------------------------ 15 n 4 11 (n - 1) (n ) (n - 4) 14 n 3 n 16021527552 n ((n - 1) ) (n - 4) + ------------------------------------ 15 n 4 11 (n - 1) (n ) (n - 4) 13 n 3 n 4885678080 n ((n - 1) ) (n - 4) - ----------------------------------- 15 n 4 11 (n - 1) (n ) (n - 4) 24 n 3 n 19190253833 n ((n - 1) ) (n - 4) + ------------------------------------ 15 n 4 11 144 (n - 1) (n ) (n - 4) 12 n 3 n 696729600 n ((n - 1) ) (n - 4) + ---------------------------------- 15 n 4 11 (n - 1) (n ) (n - 4) 17 n 2 n 48252997028363 n ((n - 1) ) (n - 5) + --------------------------------------- 10 n 3 14 18 (n - 1) (n ) (n - 5) 16 n 2 n 51463126704070 n ((n - 1) ) (n - 5) - --------------------------------------- 10 n 3 14 9 (n - 1) (n ) (n - 5) 12 n 2 n 10686108075264 n ((n - 1) ) (n - 5) - --------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 11 n 2 n 5754498467328 n ((n - 1) ) (n - 5) + -------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 14 n 2 n 13259954223512 n ((n - 1) ) (n - 5) - --------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 15 n 2 n 29393477592082 n ((n - 1) ) (n - 5) + --------------------------------------- 10 n 3 14 3 (n - 1) (n ) (n - 5) 10 n 2 n 1921947678720 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 13 n 2 n 13823926791552 n ((n - 1) ) (n - 5) + --------------------------------------- 10 n 3 14 (n - 1) (n ) (n - 5) 9 n 2 n 22 n 2 n 298896998400 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 3) + ------------------------------------ + -------------------------- 10 n 3 14 8 n 3 9 (n - 1) (n ) (n - 5) 16 (n - 1) (n ) (n - 3) 21 n 2 n 20 n 2 n 3 n ((n - 1) ) (n - 3) 1035 n ((n - 1) ) (n - 3) - -------------------------- + ----------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) 16 (n - 1) (n ) (n - 3) 19 n 2 n 25 n 3 n 6637 n ((n - 1) ) (n - 3) 39605 n ((n - 1) ) (n - 3) - ----------------------------- - ------------------------------ 8 n 3 9 13 n 4 10 8 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 24 n 3 n 23 n 3 n 2202743 n ((n - 1) ) (n - 3) 15385759 n ((n - 1) ) (n - 3) + -------------------------------- - --------------------------------- 13 n 4 10 13 n 4 10 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 29 n 3 n 28 n 3 n n ((n - 1) ) (n - 3) 11 n ((n - 1) ) (n - 3) - ---------------------------- + --------------------------- 13 n 4 10 13 n 4 10 24 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 27 n 3 n 26 n 3 n 1003 n ((n - 1) ) (n - 3) 18649 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 13 n 4 10 13 n 4 10 12 (n - 1) (n ) (n - 3) 12 (n - 1) (n ) (n - 3) 22 n 3 n 21 n 3 n 27578865 n ((n - 1) ) (n - 3) 693738115 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 4 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 3) 20 n 3 n 19 n 3 n 285126155 n ((n - 1) ) (n - 3) 490250973 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 3 (n - 1) (n ) (n - 3) 2 (n - 1) (n ) (n - 3) 18 n 3 n 17 n 3 n 1479437812 n ((n - 1) ) (n - 3) 764425134 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 3 n 15 n 3 n 893753232 n ((n - 1) ) (n - 3) 760966200 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n 3 n 13 n 3 n 444403584 n ((n - 1) ) (n - 3) 158827392 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 13 n 4 10 13 n 4 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 3 n 28 n 4 n 26127360 n ((n - 1) ) (n - 3) 17761429 n ((n - 1) ) (n - 3) + --------------------------------- - --------------------------------- 13 n 4 10 18 n 5 10 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 27 n 4 n 3088787957 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 10 288 (n - 1) (n ) (n - 3) 26 n 4 n 33 n 4 n 13565471647 n ((n - 1) ) (n - 3) 1313 n ((n - 1) ) (n - 3) - ------------------------------------ + ----------------------------- 18 n 5 10 18 n 5 10 288 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 32 n 4 n 35 n 4 n 14273 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ------------------------------ + ----------------------------- 18 n 5 10 18 n 5 10 72 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 34 n 4 n 31 n 4 n 25 n ((n - 1) ) (n - 3) 432341 n ((n - 1) ) (n - 3) - ---------------------------- + ------------------------------- 18 n 5 10 18 n 5 10 96 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 4850359 n ((n - 1) ) (n - 3) 20918201 n ((n - 1) ) (n - 3) - -------------------------------- + --------------------------------- 18 n 5 10 18 n 5 10 144 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 25 n 4 n 24210321193 n ((n - 1) ) (n - 3) + ------------------------------------ 18 n 5 10 144 (n - 1) (n ) (n - 3) 24 n 4 n 35184640645 n ((n - 1) ) (n - 3) - ------------------------------------ 18 n 5 10 72 (n - 1) (n ) (n - 3) 23 n 4 n 13857010459 n ((n - 1) ) (n - 3) + ------------------------------------ 18 n 5 10 12 (n - 1) (n ) (n - 3) 22 n 4 n 39717578227 n ((n - 1) ) (n - 3) - ------------------------------------ 18 n 5 10 18 (n - 1) (n ) (n - 3) 21 n 4 n 10128825317 n ((n - 1) ) (n - 3) + ------------------------------------ 18 n 5 10 3 (n - 1) (n ) (n - 3) 20 n 4 n 4073073886 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 10 (n - 1) (n ) (n - 3) 19 n 4 n 3782804868 n ((n - 1) ) (n - 3) + ----------------------------------- 18 n 5 10 (n - 1) (n ) (n - 3) 18 n 4 n 2606104656 n ((n - 1) ) (n - 3) - ----------------------------------- 18 n 5 10 (n - 1) (n ) (n - 3) 17 n 4 n 16 n 4 n 1252528704 n ((n - 1) ) (n - 3) 374264064 n ((n - 1) ) (n - 3) + ----------------------------------- - ---------------------------------- 18 n 5 10 18 n 5 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 4 n 20 n 2 n 52254720 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) + --------------------------------- + ------------------------- 18 n 5 10 9 n 3 7 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 2) 19 n 2 n 18 n 2 n 35 n ((n - 1) ) (n - 2) 182 n ((n - 1) ) (n - 2) - --------------------------- + ---------------------------- 9 n 3 7 9 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 17 n 2 n 16 n 2 n 1670 n ((n - 1) ) (n - 2) 3337 n ((n - 1) ) (n - 2) - ----------------------------- + ----------------------------- 9 n 3 7 9 n 3 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 2 n 14 n 2 n 13715 n ((n - 1) ) (n - 2) 354668 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------- 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 13 n 2 n 12 n 2 n 711760 n ((n - 1) ) (n - 2) 325472 n ((n - 1) ) (n - 2) - ------------------------------- + ------------------------------- 9 n 3 7 9 n 3 7 9 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 11 n 2 n 10 n 2 n 96720 n ((n - 1) ) (n - 2) 50304 n ((n - 1) ) (n - 2) - ------------------------------ + ------------------------------ 9 n 3 7 9 n 3 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 9 n 2 n 18 n n 11520 n ((n - 1) ) (n - 2) 190477 n (n - 1) (n - 4) - ----------------------------- + ---------------------------- 9 n 3 7 4 n 2 12 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 4) 19 n n 17 n n 3059 n (n - 1) (n - 4) 664426 n (n - 1) (n - 4) - -------------------------- - ---------------------------- 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 15 n n 14 n n 192392431 n (n - 1) (n - 4) 1048607791 n (n - 1) (n - 4) - ------------------------------- + -------------------------------- 4 n 2 12 4 n 2 12 12 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 16 n n 10 n n 8794863 n (n - 1) (n - 4) 4316856586 n (n - 1) (n - 4) + ----------------------------- + -------------------------------- 4 n 2 12 4 n 2 12 4 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 6 n n 21 n n 419126400 n (n - 1) (n - 4) 7 n (n - 1) (n - 4) + ------------------------------ - --------------------------- 4 n 2 12 4 n 2 12 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 20 n n 7 n n 133 n (n - 1) (n - 4) 82374236658432000 n (n - 1) (n - 7) + -------------------------- - -------------------------------------- 4 n 2 12 4 n 2 19 6 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 7) 15 n 2 n 14 n 2 n 317513132 n ((n - 1) ) (n - 3) 622286672 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 9 n 3 10 9 n 3 10 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 13 n 2 n 12 n 2 n 300413032 n ((n - 1) ) (n - 3) 103687344 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 9 n 3 10 9 n 3 10 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 11 n 2 n 10 n 2 n 72408192 n ((n - 1) ) (n - 3) 30456576 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 9 n 3 10 9 n 3 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 9 n 2 n 31 n n 5806080 n ((n - 1) ) (n - 3) n (n - 1) (n - 7) - ------------------------------- - ----------------------------- 9 n 3 10 5 n 2 18 (n - 1) (n ) (n - 3) 5184 (n - 1) (n ) (n - 7) 30 n n 29 n n 193 n (n - 1) (n - 7) 5845 n (n - 1) (n - 7) + ----------------------------- - ----------------------------- 5 n 2 18 5 n 2 18 5184 (n - 1) (n ) (n - 7) 1728 (n - 1) (n ) (n - 7) 6 n 5 n 105153554909636640 n (n - 7) 77857354479139200 n (n - 7) + ------------------------------ - ----------------------------- n 19 n 19 n (n - 7) n (n - 7) 23 n 22 n 26 n 1151437 n (n - 7) 999697 n (n - 7) n (n - 7) - -------------------- + ------------------- + ----------------- n 19 n 19 n 19 1728 n (n - 7) 36 n (n - 7) 1728 n (n - 7) 25 n 24 n 3 n 203 n (n - 7) 19349 n (n - 7) 7240779786240000 n (n - 7) - ----------------- + ------------------ - ---------------------------- n 19 n 19 n 19 1728 n (n - 7) 1728 n (n - 7) n (n - 7) 34 n 5 n 33 n 5 n 169 n ((n - 1) ) (n - 2) 46895 n ((n - 1) ) (n - 2) + ---------------------------- - ------------------------------ 24 n 6 6 24 n 6 6 6 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 32 n 5 n 31 n 5 n 100981 n ((n - 1) ) (n - 2) 2015663 n ((n - 1) ) (n - 2) + ------------------------------- - -------------------------------- 24 n 6 6 24 n 6 6 36 (n - 1) (n ) (n - 2) 108 (n - 1) (n ) (n - 2) 30 n 5 n 29 n 5 n 5300069 n ((n - 1) ) (n - 2) 39737461 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 24 n 6 6 24 n 6 6 54 (n - 1) (n ) (n - 2) 96 (n - 1) (n ) (n - 2) 28 n 5 n 27 n 5 n 4236215 n ((n - 1) ) (n - 2) 281651693 n ((n - 1) ) (n - 2) + -------------------------------- - ---------------------------------- 24 n 6 6 24 n 6 6 3 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 36 n 5 n 37 n 5 n 7 n ((n - 1) ) (n - 2) n ((n - 1) ) (n - 2) + ---------------------------- - ---------------------------- 24 n 6 6 24 n 6 6 108 (n - 1) (n ) (n - 2) 864 (n - 1) (n ) (n - 2) 20 n 5 n 19 n 5 n 7186176 n ((n - 1) ) (n - 2) 2059776 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 24 n 6 6 24 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 5 n 21 n 5 n 23726616 n ((n - 1) ) (n - 2) 15619136 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 24 n 6 6 24 n 6 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 5 n 23 n 5 n 276480 n ((n - 1) ) (n - 2) 80338130 n ((n - 1) ) (n - 2) + ------------------------------- - --------------------------------- 24 n 6 6 24 n 6 6 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 32 n 4 n 31 n 4 n 3311 n ((n - 1) ) (n - 3) 90089 n ((n - 1) ) (n - 3) - ----------------------------- + ------------------------------ 20 n 5 8 20 n 5 8 144 (n - 1) (n ) (n - 3) 288 (n - 1) (n ) (n - 3) 30 n 4 n 29 n 4 n 25379 n ((n - 1) ) (n - 3) 10750831 n ((n - 1) ) (n - 3) - ------------------------------ + --------------------------------- 20 n 5 8 20 n 5 8 8 (n - 1) (n ) (n - 3) 432 (n - 1) (n ) (n - 3) 28 n 4 n 27 n 4 n 22267411 n ((n - 1) ) (n - 3) 1335687473 n ((n - 1) ) (n - 3) - --------------------------------- + ----------------------------------- 20 n 5 8 20 n 5 8 144 (n - 1) (n ) (n - 3) 1728 (n - 1) (n ) (n - 3) 26 n 4 n 25 n 4 n 903982801 n ((n - 1) ) (n - 3) 1499106593 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 20 n 5 8 20 n 5 8 288 (n - 1) (n ) (n - 3) 144 (n - 1) (n ) (n - 3) 24 n 4 n 23 n 4 n 225985801 n ((n - 1) ) (n - 3) 6759942013 n ((n - 1) ) (n - 3) - ---------------------------------- + ----------------------------------- 20 n 5 8 20 n 5 8 8 (n - 1) (n ) (n - 3) 108 (n - 1) (n ) (n - 3) 22 n 4 n 26 n 2 n 2027175587 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 4) - ----------------------------------- + --------------------------- 20 n 5 8 9 n 3 11 18 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 4) 25 n 2 n 24 n 2 n 37 n ((n - 1) ) (n - 4) 1259 n ((n - 1) ) (n - 4) - --------------------------- + ----------------------------- 9 n 3 11 9 n 3 11 18 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 22 n 2 n 23 n 2 n 185899 n ((n - 1) ) (n - 4) 26161 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------ 9 n 3 11 9 n 3 11 9 (n - 1) (n ) (n - 4) 18 (n - 1) (n ) (n - 4) 6 n n 12 n 11 n 296406190080000 n (n - 1) (n - 6) 7 n (n - 3) 133 n (n - 3) + ------------------------------------ + -------------- - ---------------- 4 n 2 18 n 9 n 9 (n - 1) (n ) (n - 6) 24 n (n - 3) 12 n (n - 3) 10 n 9 n 8 n 721 n (n - 3) 3283 n (n - 3) 73549 n (n - 3) + ---------------- - ---------------- + ----------------- n 9 n 9 n 9 4 n (n - 3) 2 n (n - 3) 8 n (n - 3) 7 n 6 n 5 n 130879 n (n - 3) 442211 n (n - 3) 302603 n (n - 3) - ------------------ + ------------------ - ------------------ n 9 n 9 n 9 4 n (n - 3) 6 n (n - 3) 3 n (n - 3) 4 n 3 n 22 n n 75684 n (n - 3) 23520 n (n - 3) 7 n (n - 1) (n - 4) + ----------------- - ----------------- - --------------------------- n 9 n 9 5 n 2 12 n (n - 3) n (n - 3) 72 (n - 1) (n ) (n - 4) 21 n n 20 n n 70 n (n - 1) (n - 4) 10241 n (n - 1) (n - 4) + -------------------------- - --------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 21 n 3 n 20 n 3 n 52053905 n ((n - 1) ) (n - 3) 327020135 n ((n - 1) ) (n - 3) - --------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 3 (n - 1) (n ) (n - 3) 6 (n - 1) (n ) (n - 3) 19 n 3 n 18 n 3 n 404290472 n ((n - 1) ) (n - 3) 782329402 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 3 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 17 n 3 n 16 n 3 n 1170062032 n ((n - 1) ) (n - 3) 441267672 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 15 n 3 n 14 n 3 n 364570080 n ((n - 1) ) (n - 3) 207137664 n ((n - 1) ) (n - 3) - ---------------------------------- + ---------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 13 n 3 n 12 n 3 n 72202752 n ((n - 1) ) (n - 3) 11612160 n ((n - 1) ) (n - 3) - --------------------------------- + --------------------------------- 14 n 4 9 14 n 4 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 27 n 2 n 26 n 2 n n ((n - 1) ) (n - 4) 13 n ((n - 1) ) (n - 4) + ---------------------------- - --------------------------- 10 n 3 11 10 n 3 11 48 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 25 n 2 n 23 n 2 n 469 n ((n - 1) ) (n - 4) 79407 n ((n - 1) ) (n - 4) + ---------------------------- + ------------------------------ 10 n 3 11 10 n 3 11 8 (n - 1) (n ) (n - 4) 4 (n - 1) (n ) (n - 4) 22 n 2 n 24 n 2 n 1774213 n ((n - 1) ) (n - 4) 10399 n ((n - 1) ) (n - 4) - -------------------------------- - ------------------------------ 10 n 3 11 10 n 3 11 8 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 20 n 2 n 19 n 2 n 98692925 n ((n - 1) ) (n - 4) 1018969465 n ((n - 1) ) (n - 4) - --------------------------------- + ----------------------------------- 10 n 3 11 10 n 3 11 8 (n - 1) (n ) (n - 4) 16 (n - 1) (n ) (n - 4) 18 n 2 n 1041537805 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 4 (n - 1) (n ) (n - 4) 17 n 2 n 3380813193 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 4 (n - 1) (n ) (n - 4) 16 n 2 n 2172885811 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 15 n 2 n 13172916709 n ((n - 1) ) (n - 4) + ------------------------------------ 10 n 3 11 3 (n - 1) (n ) (n - 4) 14 n 2 n 6878826828 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 13 n 2 n 8167604748 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 12 n 2 n 7088820336 n ((n - 1) ) (n - 4) - ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 11 n 2 n 4231922112 n ((n - 1) ) (n - 4) + ----------------------------------- 10 n 3 11 (n - 1) (n ) (n - 4) 10 n 2 n 21 n 2 n 1549082880 n ((n - 1) ) (n - 4) 45084083 n ((n - 1) ) (n - 4) - ----------------------------------- + --------------------------------- 10 n 3 11 10 n 3 11 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 9 n 2 n 27 n 2 n 261273600 n ((n - 1) ) (n - 4) 844915 n ((n - 1) ) (n - 5) + --------------------------------- + ------------------------------- 10 n 3 11 8 n 3 16 (n - 1) (n ) (n - 4) 144 (n - 1) (n ) (n - 5) 25 n 2 n 26 n 2 n 1665120041 n ((n - 1) ) (n - 5) 34956215 n ((n - 1) ) (n - 5) + ----------------------------------- - --------------------------------- 8 n 3 16 8 n 3 16 864 (n - 1) (n ) (n - 5) 288 (n - 1) (n ) (n - 5) 24 n 2 n 20792389769 n ((n - 1) ) (n - 5) - ------------------------------------ 8 n 3 16 864 (n - 1) (n ) (n - 5) 23 n 2 n 415091471209 n ((n - 1) ) (n - 5) + ------------------------------------- 8 n 3 16 1728 (n - 1) (n ) (n - 5) 22 n 2 n 372073989479 n ((n - 1) ) (n - 5) - ------------------------------------- 8 n 3 16 192 (n - 1) (n ) (n - 5) 21 n 2 n 7329269539787 n ((n - 1) ) (n - 5) + -------------------------------------- 8 n 3 16 576 (n - 1) (n ) (n - 5) 20 n 2 n 39323827172903 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 16 576 (n - 1) (n ) (n - 5) 19 n 2 n 258906389225009 n ((n - 1) ) (n - 5) + ---------------------------------------- 8 n 3 16 864 (n - 1) (n ) (n - 5) 18 n 2 n 464180998228663 n ((n - 1) ) (n - 5) - ---------------------------------------- 8 n 3 16 432 (n - 1) (n ) (n - 5) 17 n 2 n 677003142017585 n ((n - 1) ) (n - 5) + ---------------------------------------- 8 n 3 16 216 (n - 1) (n ) (n - 5) 16 n 2 n 88594547859385 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 16 12 (n - 1) (n ) (n - 5) 12 n 2 n 19312749888552 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 11 n 2 n 11146985566560 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 14 n 2 n 20498986429411 n ((n - 1) ) (n - 5) - --------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 15 n 2 n 83306611573799 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 16 6 (n - 1) (n ) (n - 5) 10 n 2 n 3967633756800 n ((n - 1) ) (n - 5) - -------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 13 n 2 n 23174816154438 n ((n - 1) ) (n - 5) + --------------------------------------- 8 n 3 16 (n - 1) (n ) (n - 5) 9 n 2 n 28 n n 653837184000 n ((n - 1) ) (n - 5) 43 n (n - 1) (n - 6) + ------------------------------------ + ---------------------------- 8 n 3 16 4 n 2 18 (n - 1) (n ) (n - 5) 216 (n - 1) (n ) (n - 6) 29 n n 24 n n n (n - 1) (n - 6) 26630113 n (n - 1) (n - 6) - ---------------------------- + ------------------------------ 4 n 2 18 4 n 2 18 864 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 6) 25 n n 22 n n 24473411 n (n - 1) (n - 6) 25666997579 n (n - 1) (n - 6) - ------------------------------ + --------------------------------- 4 n 2 18 4 n 2 18 864 (n - 1) (n ) (n - 6) 108 (n - 1) (n ) (n - 6) 23 n n 26 n n 1610184857 n (n - 1) (n - 6) 174173 n (n - 1) (n - 6) - -------------------------------- + ---------------------------- 4 n 2 18 4 n 2 18 108 (n - 1) (n ) (n - 6) 216 (n - 1) (n ) (n - 6) 16 n n 15 n n 8407 n (n - 1) (n - 3) 3164 n (n - 1) (n - 3) - --------------------------- + -------------------------- 4 n 2 10 4 n 2 10 36 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 14 n n 13 n n 111909 n (n - 1) (n - 3) 509761 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 4 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 12 n n 11 n n 26143061 n (n - 1) (n - 3) 19787138 n (n - 1) (n - 3) - ------------------------------ + ------------------------------ 4 n 2 10 4 n 2 10 36 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 10 n n 9 n n 42080948 n (n - 1) (n - 3) 20414492 n (n - 1) (n - 3) - ------------------------------ + ----------------------------- 4 n 2 10 4 n 2 10 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 8 n n 7 n n 6424012 n (n - 1) (n - 3) 3524304 n (n - 1) (n - 3) - ---------------------------- + ---------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 6 n n 18 n n 846720 n (n - 1) (n - 3) 7 n (n - 1) (n - 3) - --------------------------- - --------------------------- 4 n 2 10 4 n 2 10 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 3) 17 n n 13 n n 91 n (n - 1) (n - 3) 30520911575 n (n - 1) (n - 4) + -------------------------- + --------------------------------- 4 n 2 10 5 n 2 12 9 (n - 1) (n ) (n - 3) 36 (n - 1) (n ) (n - 4) 9 n n 8 n n 8259731340 n (n - 1) (n - 4) 6154651104 n (n - 1) (n - 4) + ------------------------------- - ------------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 43625407910 n (n - 1) (n - 4) 20971036807 n (n - 1) (n - 4) + --------------------------------- - --------------------------------- 5 n 2 12 5 n 2 12 9 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 7 n n 18 n n 2758714560 n (n - 1) (n - 4) 854903 n (n - 1) (n - 4) + ------------------------------- - ---------------------------- 5 n 2 12 5 n 2 12 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 19 n n 17 n n 227185 n (n - 1) (n - 4) 37015405 n (n - 1) (n - 4) + ---------------------------- + ------------------------------ 5 n 2 12 5 n 2 12 36 (n - 1) (n ) (n - 4) 36 (n - 1) (n ) (n - 4) 15 n n 14 n n 1818177515 n (n - 1) (n - 4) 16998154481 n (n - 1) (n - 4) + -------------------------------- - --------------------------------- 5 n 2 12 5 n 2 12 36 (n - 1) (n ) (n - 4) 72 (n - 1) (n ) (n - 4) 16 n n 10 n n 297930787 n (n - 1) (n - 4) 22430993662 n (n - 1) (n - 4) - ------------------------------- - --------------------------------- 5 n 2 12 5 n 2 12 36 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 6 n n 27 n 2 n 558835200 n (n - 1) (n - 4) 13031 n ((n - 1) ) (n - 5) - ------------------------------ - ------------------------------ 5 n 2 12 10 n 3 13 (n - 1) (n ) (n - 4) 48 (n - 1) (n ) (n - 5) 26 n 2 n 25 n 2 n 551507 n ((n - 1) ) (n - 5) 2879733 n ((n - 1) ) (n - 5) + ------------------------------- - -------------------------------- 10 n 3 13 10 n 3 13 96 (n - 1) (n ) (n - 5) 32 (n - 1) (n ) (n - 5) 16 n 2 n 1743568063688 n ((n - 1) ) (n - 5) + -------------------------------------- 10 n 3 13 9 (n - 1) (n ) (n - 5) 12 n 2 n 394411183488 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 11 n 2 n 215708652288 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 24 n 2 n 22 n 2 n 38998795 n ((n - 1) ) (n - 5) 44863538213 n ((n - 1) ) (n - 5) + --------------------------------- + ------------------------------------ 10 n 3 13 10 n 3 13 36 (n - 1) (n ) (n - 5) 576 (n - 1) (n ) (n - 5) 23 n 2 n 123215897 n ((n - 1) ) (n - 5) - ---------------------------------- 10 n 3 13 12 (n - 1) (n ) (n - 5) 21 n 2 n 91762354391 n ((n - 1) ) (n - 5) - ------------------------------------ 10 n 3 13 192 (n - 1) (n ) (n - 5) 20 n 2 n 14327444521 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 13 6 (n - 1) (n ) (n - 5) 19 n 2 n 155927312385 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 13 16 (n - 1) (n ) (n - 5) 24 n n 23 n n 13528227250 n (n - 1) (n - 7) 1553037465175 n (n - 1) (n - 7) + --------------------------------- - ----------------------------------- 4 n 2 19 4 n 2 19 81 (n - 1) (n ) (n - 7) 576 (n - 1) (n ) (n - 7) 22 n n 5781406327765 n (n - 1) (n - 7) + ----------------------------------- 4 n 2 19 162 (n - 1) (n ) (n - 7) 21 n n 1012265079675745 n (n - 1) (n - 7) - -------------------------------------- 4 n 2 19 2592 (n - 1) (n ) (n - 7) 20 n n 18 n 767436730827125 n (n - 1) (n - 7) 92800255656518927 n (n - 8) + ------------------------------------- - ------------------------------ 4 n 2 19 n 21 216 (n - 1) (n ) (n - 7) 10368 n (n - 8) 17 n 16 n 1805308341098765683 n (n - 8) 7392804870950291663 n (n - 8) + -------------------------------- - -------------------------------- n 21 n 21 20736 n (n - 8) 10368 n (n - 8) 15 n 14 n 101973289724319884707 n (n - 8) 295649270304826031867 n (n - 8) + ---------------------------------- - ---------------------------------- n 21 n 21 20736 n (n - 8) 10368 n (n - 8) 13 n 12 n 718283158148568069427 n (n - 8) 1454646167268106228487 n (n - 8) + ---------------------------------- - ----------------------------------- n 21 n 21 5184 n (n - 8) 2592 n (n - 8) 11 n 10 n 812387582564132112799 n (n - 8) 123821470361223839891 n (n - 8) + ---------------------------------- - ---------------------------------- n 21 n 21 432 n (n - 8) 24 n (n - 8) 9 n 8 n 45702209023117893973 n (n - 8) 40060178108392182417 n (n - 8) + -------------------------------- - -------------------------------- n 21 n 21 4 n (n - 8) 2 n (n - 8) 7 n 6 n 27042029493840091980 n (n - 8) 26993205935252928000 n (n - 8) + -------------------------------- - -------------------------------- n 21 n 21 n (n - 8) n (n - 8) 29 n 28 n 27 n n (n - 8) 125 n (n - 8) 29557 n (n - 8) + ------------------ - ------------------ + ------------------ n 21 n 21 n 21 20736 n (n - 8) 10368 n (n - 8) 20736 n (n - 8) 26 n 25 n 24 n 1099397 n (n - 8) 115527193 n (n - 8) 2280886493 n (n - 8) - -------------------- + ---------------------- - ----------------------- n 21 n 21 n 21 10368 n (n - 8) 20736 n (n - 8) 10368 n (n - 8) 23 n 22 n 140644988137 n (n - 8) 1736316212897 n (n - 8) + ------------------------- - -------------------------- n 21 n 21 20736 n (n - 8) 10368 n (n - 8) 21 n 20 n 69879952073383 n (n - 8) 580163936938043 n (n - 8) + --------------------------- - ---------------------------- n 21 n 21 20736 n (n - 8) 10368 n (n - 8) 19 n 7 n n 16037195263785967 n (n - 8) 801677011968000 n (n - 1) (n - 6) + ------------------------------ - ------------------------------------ n 21 5 n 2 17 20736 n (n - 8) (n - 1) (n ) (n - 6) 10 n n 3975706595393792 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 17 (n - 1) (n ) (n - 6) 6 n n 29 n n 139485265920000 n (n - 1) (n - 6) n (n - 1) (n - 6) + ------------------------------------ - ---------------------------- 5 n 2 17 5 n 2 17 (n - 1) (n ) (n - 6) 432 (n - 1) (n ) (n - 6) 28 n n 27 n n 53 n (n - 1) (n - 6) 11851 n (n - 1) (n - 6) + ---------------------------- - ---------------------------- 5 n 2 17 5 n 2 17 144 (n - 1) (n ) (n - 6) 432 (n - 1) (n ) (n - 6) 28 n 5 n 165848114779 n ((n - 1) ) (n - 3) - ------------------------------------- 22 n 6 10 108 (n - 1) (n ) (n - 3) 27 n 5 n 196422117637 n ((n - 1) ) (n - 3) + ------------------------------------- 22 n 6 10 54 (n - 1) (n ) (n - 3) 26 n 5 n 192036968584 n ((n - 1) ) (n - 3) - ------------------------------------- 22 n 6 10 27 (n - 1) (n ) (n - 3) 25 n 5 n 102580926470 n ((n - 1) ) (n - 3) + ------------------------------------- 22 n 6 10 9 (n - 1) (n ) (n - 3) 24 n 5 n 14801941644 n ((n - 1) ) (n - 3) - ------------------------------------ 22 n 6 10 (n - 1) (n ) (n - 3) 23 n 5 n 15319524104 n ((n - 1) ) (n - 3) + ------------------------------------ 22 n 6 10 (n - 1) (n ) (n - 3) 22 n 5 n 12326627064 n ((n - 1) ) (n - 3) - ------------------------------------ 22 n 6 10 (n - 1) (n ) (n - 3) 21 n 5 n 7424511840 n ((n - 1) ) (n - 3) + ----------------------------------- 22 n 6 10 (n - 1) (n ) (n - 3) 20 n 5 n 19 n 5 n 3146249088 n ((n - 1) ) (n - 3) 835619328 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 22 n 6 10 22 n 6 10 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 27 n 2 n 104509440 n ((n - 1) ) (n - 3) 8293 n ((n - 1) ) (n - 5) - ---------------------------------- - ----------------------------- 22 n 6 10 9 n 3 14 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 5) 26 n 2 n 15 n n 757625 n ((n - 1) ) (n - 5) n (n - 1) (n - 2) + ------------------------------- - -------------------------- 9 n 3 14 5 n 2 7 12 (n - 1) (n ) (n - 5) 18 (n - 1) (n ) (n - 2) 14 n n 13 n n 5 n (n - 1) (n - 2) 65 n (n - 1) (n - 2) + ------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) 3 (n - 1) (n ) (n - 2) 12 n n 11 n n 160 n (n - 1) (n - 2) 1477 n (n - 1) (n - 2) + ------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 2 (n - 1) (n ) (n - 2) 10 n n 9 n n 2205 n (n - 1) (n - 2) 38230 n (n - 1) (n - 2) + -------------------------- - -------------------------- 5 n 2 7 5 n 2 7 (n - 1) (n ) (n - 2) 9 (n - 1) (n ) (n - 2) 8 n n 7 n n 15220 n (n - 1) (n - 2) 3392 n (n - 1) (n - 2) + -------------------------- - ------------------------- 5 n 2 7 5 n 2 7 3 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 6 n n 6 n n 960 n (n - 1) (n - 2) 5443200 n (n - 1) (n - 4) + ------------------------ - ---------------------------- 5 n 2 7 4 n 2 11 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 4) 17 n n 16 n n 33445 n (n - 1) (n - 4) 130483 n (n - 1) (n - 4) + --------------------------- - ---------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 8 (n - 1) (n ) (n - 4) 15 n n 14 n n 1077505 n (n - 1) (n - 4) 19411601 n (n - 1) (n - 4) + ----------------------------- - ------------------------------ 4 n 2 11 4 n 2 11 8 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 13 n n 12 n n 86074615 n (n - 1) (n - 4) 141539057 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 4 n 2 11 4 n 2 11 24 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 11 n n 10 n n 85850710 n (n - 1) (n - 4) 50390708 n (n - 1) (n - 4) + ------------------------------ - ------------------------------ 4 n 2 11 4 n 2 11 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 9 n n 8 n n 62396010 n (n - 1) (n - 4) 51296364 n (n - 1) (n - 4) + ----------------------------- - ----------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 7 n n 18 n n 25014960 n (n - 1) (n - 4) 1907 n (n - 1) (n - 4) + ----------------------------- - --------------------------- 4 n 2 11 4 n 2 11 (n - 1) (n ) (n - 4) 24 (n - 1) (n ) (n - 4) 18 n 2 n 17 n 2 n 70707371 n ((n - 1) ) (n - 3) 150879071 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 144 (n - 1) (n ) (n - 3) 72 (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 61373984 n ((n - 1) ) (n - 3) 152256013 n ((n - 1) ) (n - 3) + --------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 285492683 n ((n - 1) ) (n - 3) 397153414 n ((n - 1) ) (n - 3) + ---------------------------------- - ---------------------------------- 10 n 3 9 10 n 3 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 12 n 2 n 11 n 2 n 132164648 n ((n - 1) ) (n - 3) 29768928 n ((n - 1) ) (n - 3) + ---------------------------------- - --------------------------------- 10 n 3 9 10 n 3 9 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 12157824 n ((n - 1) ) (n - 3) 2257920 n ((n - 1) ) (n - 3) + --------------------------------- - ------------------------------- 10 n 3 9 10 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 32 n 6 n 1937632135 n ((n - 1) ) (n - 2) + ----------------------------------- 28 n 7 6 576 (n - 1) (n ) (n - 2) 31 n 6 n 2651760893 n ((n - 1) ) (n - 2) - ----------------------------------- 28 n 7 6 288 (n - 1) (n ) (n - 2) 33 n 6 n 23 n 6 n 1172340763 n ((n - 1) ) (n - 2) 13423104 n ((n - 1) ) (n - 2) - ----------------------------------- - --------------------------------- 28 n 7 6 28 n 7 6 1152 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 22 n 6 n 25 n 6 n 3435264 n ((n - 1) ) (n - 2) 56910388 n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------------- 28 n 7 6 28 n 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 24 n 6 n 21 n 6 n 32926368 n ((n - 1) ) (n - 2) 414720 n ((n - 1) ) (n - 2) + --------------------------------- - ------------------------------- 28 n 7 6 28 n 7 6 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 26 n 6 n 37 n 5 n 73732119 n ((n - 1) ) (n - 2) 787 n ((n - 1) ) (n - 3) + --------------------------------- + ---------------------------- 28 n 7 6 24 n 6 8 (n - 1) (n ) (n - 2) 81 (n - 1) (n ) (n - 3) 36 n 5 n 35 n 5 n 41749 n ((n - 1) ) (n - 3) 1403821 n ((n - 1) ) (n - 3) - ------------------------------ + -------------------------------- 24 n 6 8 24 n 6 8 288 (n - 1) (n ) (n - 3) 864 (n - 1) (n ) (n - 3) 34 n 5 n 33 n 5 n 9206981 n ((n - 1) ) (n - 3) 8048699 n ((n - 1) ) (n - 3) - -------------------------------- + -------------------------------- 24 n 6 8 24 n 6 8 648 (n - 1) (n ) (n - 3) 81 (n - 1) (n ) (n - 3) 32 n 5 n 40 n 5 n 2929752077 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 3) - ----------------------------------- - ----------------------------- 24 n 6 8 24 n 6 8 5184 (n - 1) (n ) (n - 3) 5184 (n - 1) (n ) (n - 3) 39 n 5 n 38 n 5 n 71 n ((n - 1) ) (n - 3) 149 n ((n - 1) ) (n - 3) + ----------------------------- - ---------------------------- 24 n 6 8 24 n 6 8 5184 (n - 1) (n ) (n - 3) 324 (n - 1) (n ) (n - 3) 31 n 5 n 13705587763 n ((n - 1) ) (n - 3) + ------------------------------------ 24 n 6 8 5184 (n - 1) (n ) (n - 3) 30 n 5 n 1106726833 n ((n - 1) ) (n - 3) - ----------------------------------- 24 n 6 8 108 (n - 1) (n ) (n - 3) 29 n 5 n 7137612893 n ((n - 1) ) (n - 3) + ----------------------------------- 24 n 6 8 216 (n - 1) (n ) (n - 3) 28 n 5 n 28759963249 n ((n - 1) ) (n - 3) - ------------------------------------ 24 n 6 8 324 (n - 1) (n ) (n - 3) 27 n 5 n 19 n 5 n 16066903367 n ((n - 1) ) (n - 3) 31970304 n ((n - 1) ) (n - 3) + ------------------------------------ + --------------------------------- 24 n 6 8 24 n 6 8 81 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 18 n 5 n 11 n 2 n 3870720 n ((n - 1) ) (n - 3) 1937682 n ((n - 1) ) (n - 3) - -------------------------------- - -------------------------------- 24 n 6 8 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 10 n 2 n 9 n 2 n 886248 n ((n - 1) ) (n - 3) 181440 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------ 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 16 n 2 n 15 n 2 n 2900717 n ((n - 1) ) (n - 3) 4558677 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 16 (n - 1) (n ) (n - 3) 8 (n - 1) (n ) (n - 3) 14 n 2 n 13 n 2 n 1308318 n ((n - 1) ) (n - 3) 2166961 n ((n - 1) ) (n - 3) + -------------------------------- - -------------------------------- 8 n 3 9 8 n 3 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 12 n 2 n 24 n 3 n 2515893 n ((n - 1) ) (n - 3) n ((n - 1) ) (n - 2) + -------------------------------- - --------------------------- 8 n 3 9 12 n 4 7 (n - 1) (n ) (n - 3) 24 (n - 1) (n ) (n - 2) 23 n 3 n 22 n 3 n 3 n ((n - 1) ) (n - 2) 583 n ((n - 1) ) (n - 2) + -------------------------- - ---------------------------- 12 n 4 7 12 n 4 7 2 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 21 n 3 n 20 n 3 n 2809 n ((n - 1) ) (n - 2) 35887 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 12 n 4 7 12 n 4 7 12 (n - 1) (n ) (n - 2) 24 (n - 1) (n ) (n - 2) 19 n 3 n 18 n 3 n 20014 n ((n - 1) ) (n - 2) 170531 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------- 12 n 4 7 12 n 4 7 3 (n - 1) (n ) (n - 2) 8 (n - 1) (n ) (n - 2) 17 n 3 n 16 n 3 n 589669 n ((n - 1) ) (n - 2) 81078 n ((n - 1) ) (n - 2) + ------------------------------- - ------------------------------ 12 n 4 7 12 n 4 7 12 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 15 n 3 n 14 n 3 n 93318 n ((n - 1) ) (n - 2) 71046 n ((n - 1) ) (n - 2) + ------------------------------ - ------------------------------ 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 13 n 3 n 12 n 3 n 32076 n ((n - 1) ) (n - 2) 6480 n ((n - 1) ) (n - 2) + ------------------------------ - ----------------------------- 12 n 4 7 12 n 4 7 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 18 n 2 n 17 n 2 n 112983 n ((n - 1) ) (n - 3) 168519 n ((n - 1) ) (n - 3) + ------------------------------- - ------------------------------- 8 n 3 9 8 n 3 9 16 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 21 n n 27 n 2 n 22 n (n - 1) (n - 4) n ((n - 1) ) (n - 4) + -------------------------- + --------------------------- 4 n 2 13 9 n 3 12 9 (n - 1) (n ) (n - 4) 12 (n - 1) (n ) (n - 4) 26 n 2 n 25 n 2 n 85 n ((n - 1) ) (n - 4) 833 n ((n - 1) ) (n - 4) - --------------------------- + ---------------------------- 9 n 3 12 9 n 3 12 12 (n - 1) (n ) (n - 4) 3 (n - 1) (n ) (n - 4) 24 n 2 n 23 n 2 n 20005 n ((n - 1) ) (n - 4) 659569 n ((n - 1) ) (n - 4) - ------------------------------ + ------------------------------- 9 n 3 12 9 n 3 12 3 (n - 1) (n ) (n - 4) 6 (n - 1) (n ) (n - 4) 25 n n 24 n n n (n - 1) (n - 5) 109 n (n - 1) (n - 5) - --------------------------- + --------------------------- 5 n 2 14 5 n 2 14 24 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 23 n n 20 n 2 n 917 n (n - 1) (n - 5) 16997167789682221 n ((n - 1) ) (n - 6) - -------------------------- + ------------------------------------------ 5 n 2 14 10 n 3 16 4 (n - 1) (n ) (n - 5) 864 (n - 1) (n ) (n - 6) 19 n 2 n 28570938442600279 n ((n - 1) ) (n - 6) - ------------------------------------------ 10 n 3 16 432 (n - 1) (n ) (n - 6) 18 n 2 n 40104789048942067 n ((n - 1) ) (n - 6) + ------------------------------------------ 10 n 3 16 216 (n - 1) (n ) (n - 6) 17 n 2 n 46719707722239397 n ((n - 1) ) (n - 6) - ------------------------------------------ 10 n 3 16 108 (n - 1) (n ) (n - 6) 14 n 2 n 1599960676559572 n ((n - 1) ) (n - 6) + ----------------------------------------- 10 n 3 16 (n - 1) (n ) (n - 6) 15 n 2 n 3868925131390873 n ((n - 1) ) (n - 6) - ----------------------------------------- 10 n 3 16 3 (n - 1) (n ) (n - 6) 10 n 2 n 177012791424000 n ((n - 1) ) (n - 6) + ---------------------------------------- 10 n 3 16 (n - 1) (n ) (n - 6) 13 n 2 n 1542188866118016 n ((n - 1) ) (n - 6) - ----------------------------------------- 10 n 3 16 (n - 1) (n ) (n - 6) 9 n 2 n 26153487360000 n ((n - 1) ) (n - 6) - -------------------------------------- 10 n 3 16 (n - 1) (n ) (n - 6) 27 n 4 n 227374386107 n ((n - 1) ) (n - 4) - ------------------------------------- 20 n 5 10 3456 (n - 1) (n ) (n - 4) 26 n 4 n 1117165193473 n ((n - 1) ) (n - 4) + -------------------------------------- 20 n 5 10 5184 (n - 1) (n ) (n - 4) 25 n 4 n 1530933168817 n ((n - 1) ) (n - 4) - -------------------------------------- 20 n 5 10 2592 (n - 1) (n ) (n - 4) 24 n 4 n 1751302627679 n ((n - 1) ) (n - 4) + -------------------------------------- 20 n 5 10 1296 (n - 1) (n ) (n - 4) 23 n 4 n 1664112841499 n ((n - 1) ) (n - 4) - -------------------------------------- 20 n 5 10 648 (n - 1) (n ) (n - 4) 22 n 4 n 434326745669 n ((n - 1) ) (n - 4) + ------------------------------------- 20 n 5 10 108 (n - 1) (n ) (n - 4) 21 n 4 n 10255586631 n ((n - 1) ) (n - 4) - ------------------------------------ 20 n 5 10 2 (n - 1) (n ) (n - 4) 20 n 4 n 15697475882 n ((n - 1) ) (n - 4) + ------------------------------------ 20 n 5 10 3 (n - 1) (n ) (n - 4) 19 n 4 n 4166262496 n ((n - 1) ) (n - 4) - ----------------------------------- 20 n 5 10 (n - 1) (n ) (n - 4) 18 n 4 n 2491157376 n ((n - 1) ) (n - 4) + ----------------------------------- 20 n 5 10 (n - 1) (n ) (n - 4) 17 n 4 n 16 n 4 n 1050926976 n ((n - 1) ) (n - 4) 278539776 n ((n - 1) ) (n - 4) - ----------------------------------- + ---------------------------------- 20 n 5 10 20 n 5 10 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 15 n 4 n 26 n 5 n 34836480 n ((n - 1) ) (n - 4) 29742253403 n ((n - 1) ) (n - 3) - --------------------------------- - ------------------------------------ 20 n 5 10 24 n 6 8 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 3) 25 n 5 n 45272384314 n ((n - 1) ) (n - 3) + ------------------------------------ 24 n 6 8 81 (n - 1) (n ) (n - 3) 24 n 5 n 18673433384 n ((n - 1) ) (n - 3) - ------------------------------------ 24 n 6 8 27 (n - 1) (n ) (n - 3) 23 n 5 n 2052175372 n ((n - 1) ) (n - 3) + ----------------------------------- 24 n 6 8 3 (n - 1) (n ) (n - 3) 22 n 5 n 21 n 5 n 1582494704 n ((n - 1) ) (n - 3) 305306752 n ((n - 1) ) (n - 3) - ----------------------------------- + ---------------------------------- 24 n 6 8 24 n 6 8 3 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 20 n 5 n 35 n 4 n 124641792 n ((n - 1) ) (n - 3) 44513 n ((n - 1) ) (n - 4) - ---------------------------------- - ------------------------------- 24 n 6 8 20 n 5 10 (n - 1) (n ) (n - 3) 10368 (n - 1) (n ) (n - 4) 34 n 4 n 33 n 4 n 88963 n ((n - 1) ) (n - 4) 1801829 n ((n - 1) ) (n - 4) + ------------------------------ - -------------------------------- 20 n 5 10 20 n 5 10 1152 (n - 1) (n ) (n - 4) 1728 (n - 1) (n ) (n - 4) 38 n 4 n 37 n 4 n n ((n - 1) ) (n - 4) 43 n ((n - 1) ) (n - 4) + ------------------------------- - ------------------------------- 20 n 5 10 20 n 5 10 20736 (n - 1) (n ) (n - 4) 10368 (n - 1) (n ) (n - 4) 36 n 4 n 32 n 4 n 3491 n ((n - 1) ) (n - 4) 113854199 n ((n - 1) ) (n - 4) + ------------------------------- + ---------------------------------- 20 n 5 10 20 n 5 10 20736 (n - 1) (n ) (n - 4) 10368 (n - 1) (n ) (n - 4) 31 n 4 n 479575007 n ((n - 1) ) (n - 4) - ---------------------------------- 20 n 5 10 5184 (n - 1) (n ) (n - 4) 30 n 4 n 13153357589 n ((n - 1) ) (n - 4) + ------------------------------------ 20 n 5 10 20736 (n - 1) (n ) (n - 4) 29 n 4 n 37146531443 n ((n - 1) ) (n - 4) - ------------------------------------ 20 n 5 10 10368 (n - 1) (n ) (n - 4) 28 n 4 n 116157967909 n ((n - 1) ) (n - 4) + ------------------------------------- 20 n 5 10 6912 (n - 1) (n ) (n - 4) 27 n 2 n 5699543983 n ((n - 1) ) (n - 6) - ----------------------------------- 8 n 3 18 72 (n - 1) (n ) (n - 6) 28 n 2 n 8111966441 n ((n - 1) ) (n - 6) + ----------------------------------- 8 n 3 18 1728 (n - 1) (n ) (n - 6) 25 n 2 n 41823816980879 n ((n - 1) ) (n - 6) - --------------------------------------- 8 n 3 18 3456 (n - 1) (n ) (n - 6) 26 n 2 n 3735870723887 n ((n - 1) ) (n - 6) + -------------------------------------- 8 n 3 18 3456 (n - 1) (n ) (n - 6) 29 n 2 n 30 n 2 n 765669919 n ((n - 1) ) (n - 6) 1038521 n ((n - 1) ) (n - 6) - ---------------------------------- + -------------------------------- 8 n 3 18 8 n 3 18 3456 (n - 1) (n ) (n - 6) 128 (n - 1) (n ) (n - 6) 24 n 2 n 16132807754633 n ((n - 1) ) (n - 6) + --------------------------------------- 8 n 3 18 144 (n - 1) (n ) (n - 6) 23 n 2 n 1490699805259787 n ((n - 1) ) (n - 6) - ----------------------------------------- 8 n 3 18 1728 (n - 1) (n ) (n - 6) 22 n 2 n 19163587074044677 n ((n - 1) ) (n - 6) + ------------------------------------------ 8 n 3 18 3456 (n - 1) (n ) (n - 6) 21 n 2 n 11443396302224681 n ((n - 1) ) (n - 6) - ------------------------------------------ 8 n 3 18 384 (n - 1) (n ) (n - 6) 20 n 2 n 231348467957499781 n ((n - 1) ) (n - 6) + ------------------------------------------- 8 n 3 18 1728 (n - 1) (n ) (n - 6) 19 n 2 n 433545083415206171 n ((n - 1) ) (n - 6) - ------------------------------------------- 8 n 3 18 864 (n - 1) (n ) (n - 6) 18 n 2 n 225030386869883863 n ((n - 1) ) (n - 6) + ------------------------------------------- 8 n 3 18 144 (n - 1) (n ) (n - 6) 17 n 2 n 868000106153773909 n ((n - 1) ) (n - 6) - ------------------------------------------- 8 n 3 18 216 (n - 1) (n ) (n - 6) 16 n 2 n 33820699868321433 n ((n - 1) ) (n - 6) + ------------------------------------------ 8 n 3 18 4 (n - 1) (n ) (n - 6) 12 n 2 n 15643998230479920 n ((n - 1) ) (n - 6) + ------------------------------------------ 8 n 3 18 (n - 1) (n ) (n - 6) 11 n 2 n 8459301067617600 n ((n - 1) ) (n - 6) - ----------------------------------------- 8 n 3 18 (n - 1) (n ) (n - 6) 14 n 2 n 19375523842409951 n ((n - 1) ) (n - 6) + ------------------------------------------ 8 n 3 18 (n - 1) (n ) (n - 6) 15 n 2 n 86222534370412729 n ((n - 1) ) (n - 6) - ------------------------------------------ 8 n 3 18 6 (n - 1) (n ) (n - 6) 10 n 2 n 2840854379328000 n ((n - 1) ) (n - 6) + ----------------------------------------- 8 n 3 18 (n - 1) (n ) (n - 6) 13 n 2 n 20192487378309492 n ((n - 1) ) (n - 6) - ------------------------------------------ 8 n 3 18 (n - 1) (n ) (n - 6) 22 n n 24 n n 2055287651 n (n - 1) (n - 6) 640865 n (n - 1) (n - 6) - -------------------------------- - ---------------------------- 5 n 2 16 5 n 2 16 144 (n - 1) (n ) (n - 6) 16 (n - 1) (n ) (n - 6) 25 n n 23 n n 397681 n (n - 1) (n - 6) 41362219 n (n - 1) (n - 6) + ---------------------------- + ------------------------------ 5 n 2 16 5 n 2 16 288 (n - 1) (n ) (n - 6) 48 (n - 1) (n ) (n - 6) 13 n n 1643846493515179 n (n - 1) (n - 6) + -------------------------------------- 5 n 2 16 18 (n - 1) (n ) (n - 6) 9 n n 315511465322880 n (n - 1) (n - 6) + ------------------------------------ 5 n 2 16 (n - 1) (n ) (n - 6) 8 n n 21 n n 195172858886400 n (n - 1) (n - 6) 26854884841 n (n - 1) (n - 6) - ------------------------------------ + --------------------------------- 5 n 2 16 5 n 2 16 (n - 1) (n ) (n - 6) 144 (n - 1) (n ) (n - 6) 19 n n 20 n n 4780191176515 n (n - 1) (n - 6) 562746988469 n (n - 1) (n - 6) + ----------------------------------- - ---------------------------------- 5 n 2 16 5 n 2 16 288 (n - 1) (n ) (n - 6) 288 (n - 1) (n ) (n - 6) 18 n n 11050064459317 n (n - 1) (n - 6) - ------------------------------------ 5 n 2 16 96 (n - 1) (n ) (n - 6) 17 n n 62800987750111 n (n - 1) (n - 6) + ------------------------------------ 5 n 2 16 96 (n - 1) (n ) (n - 6) 16 n n 109799538498281 n (n - 1) (n - 6) - ------------------------------------- 5 n 2 16 36 (n - 1) (n ) (n - 6) 15 n n 29 n 2 n 838517327476439 n (n - 1) (n - 6) 9013 n ((n - 1) ) (n - 5) + ------------------------------------- + ----------------------------- 5 n 2 16 8 n 3 16 72 (n - 1) (n ) (n - 6) 1728 (n - 1) (n ) (n - 5) 28 n 2 n 10 n 40273 n ((n - 1) ) (n - 5) 240488963 n (n - 5) - ------------------------------ + ---------------------- 8 n 3 16 n 13 192 (n - 1) (n ) (n - 5) 6 n (n - 5) 6 n 5 n 18 n 1020978054 n (n - 5) 930374568 n (n - 5) n (n - 5) + ---------------------- - --------------------- + --------------- n 13 n 13 n 13 n (n - 5) n (n - 5) 96 n (n - 5) 16 n 17 n 15 n 3445 n (n - 5) 29 n (n - 5) 27425 n (n - 5) + ----------------- - --------------- - ------------------ n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 32 n (n - 5) 14 n 13 n 12 n 1323907 n (n - 5) 5062343 n (n - 5) 128154455 n (n - 5) + -------------------- - -------------------- + ---------------------- n 13 n 13 n 13 96 n (n - 5) 32 n (n - 5) 96 n (n - 5) 11 n 8 n 9 n 269687275 n (n - 5) 1146586090 n (n - 5) 143400686 n (n - 5) - ---------------------- + ---------------------- - --------------------- n 13 n 13 n 13 32 n (n - 5) 3 n (n - 5) n (n - 5) 4 n 7 n 3 n 501340320 n (n - 5) 1487663125 n (n - 5) 119750400 n (n - 5) + --------------------- - ---------------------- - --------------------- n 13 n 13 n 13 n (n - 5) 2 n (n - 5) n (n - 5) 17 n 5 16 n 5 26 n 5 5715 n ((n - 1) ) 1431 n ((n - 1) ) n ((n - 1) ) - -------------------- + -------------------- + ------------------ 21 n 5 21 n 5 21 n 5 2 (n - 1) (n ) (n - 1) (n ) 96 (n - 1) (n ) 25 n 5 24 n 5 23 n 5 29 n ((n - 1) ) 95 n ((n - 1) ) 495 n ((n - 1) ) - ------------------ + ------------------ - ------------------- 21 n 5 21 n 5 21 n 5 96 (n - 1) (n ) 24 (n - 1) (n ) 16 (n - 1) (n ) 22 n 5 21 n 5 20 n 5 15385 n ((n - 1) ) 55465 n ((n - 1) ) 71005 n ((n - 1) ) + --------------------- - --------------------- + --------------------- 21 n 5 21 n 5 21 n 5 96 (n - 1) (n ) 96 (n - 1) (n ) 48 (n - 1) (n ) 19 n 5 18 n 5 2690 n ((n - 1) ) 3405 n ((n - 1) ) - -------------------- + -------------------- 21 n 5 21 n 5 (n - 1) (n ) (n - 1) (n ) 20 n n 19 n n 50011 n (n - 1) (n - 4) 219494 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 18 n n 17 n n 11150107 n (n - 1) (n - 4) 106016521 n (n - 1) (n - 4) + ------------------------------ - ------------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 16 n n 15 n n 770478137 n (n - 1) (n - 4) 8662059263 n (n - 1) (n - 4) + ------------------------------- - -------------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 14 n n 13 n n 18929976923 n (n - 1) (n - 4) 16076253076 n (n - 1) (n - 4) + --------------------------------- - --------------------------------- 5 n 2 13 5 n 2 13 324 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 9 n n 8 n n 5012925104 n (n - 1) (n - 4) 1216103616 n (n - 1) (n - 4) - ------------------------------- + ------------------------------- 5 n 2 13 5 n 2 13 3 (n - 1) (n ) (n - 4) (n - 1) (n ) (n - 4) 11 n n 12 n n 9377744062 n (n - 1) (n - 4) 42182549942 n (n - 1) (n - 4) - -------------------------------- + --------------------------------- 5 n 2 13 5 n 2 13 9 (n - 1) (n ) (n - 4) 81 (n - 1) (n ) (n - 4) 7 n n 10 n n 534339840 n (n - 1) (n - 4) 13997672284 n (n - 1) (n - 4) - ------------------------------ + --------------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 4) 9 (n - 1) (n ) (n - 4) 6 n n 23 n n 106444800 n (n - 1) (n - 4) n (n - 1) (n - 4) + ------------------------------ - ---------------------------- 5 n 2 13 5 n 2 13 (n - 1) (n ) (n - 4) 648 (n - 1) (n ) (n - 4) 22 n n 21 n n 23 n (n - 1) (n - 4) 1943 n (n - 1) (n - 4) + ---------------------------- - ---------------------------- 5 n 2 13 5 n 2 13 162 (n - 1) (n ) (n - 4) 324 (n - 1) (n ) (n - 4) 23 n n 21 n n 273 n (n - 1) (n - 5) 860633 n (n - 1) (n - 5) - ------------------------- - ---------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) 4 (n - 1) (n ) (n - 5) 20 n n 19 n n 14652487 n (n - 1) (n - 5) 283430521 n (n - 1) (n - 5) + ------------------------------ - ------------------------------- 4 n 2 15 4 n 2 15 4 (n - 1) (n ) (n - 5) 6 (n - 1) (n ) (n - 5) 18 n n 17 n n 2831121839 n (n - 1) (n - 5) 29619297435 n (n - 1) (n - 5) + -------------------------------- - --------------------------------- 4 n 2 15 4 n 2 15 6 (n - 1) (n ) (n - 5) 8 (n - 1) (n ) (n - 5) 16 n n 15 n n 184063198605 n (n - 1) (n - 5) 227276963693 n (n - 1) (n - 5) + ---------------------------------- - ---------------------------------- 4 n 2 15 4 n 2 15 8 (n - 1) (n ) (n - 5) 2 (n - 1) (n ) (n - 5) 14 n n 13 n n 891703555327 n (n - 1) (n - 5) 4149206604824 n (n - 1) (n - 5) + ---------------------------------- - ----------------------------------- 4 n 2 15 4 n 2 15 2 (n - 1) (n ) (n - 5) 3 (n - 1) (n ) (n - 5) 9 n n 8 n n 9112138032096 n (n - 1) (n - 5) 6368340921984 n (n - 1) (n - 5) - ---------------------------------- + ---------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 11 n n 6299176038792 n (n - 1) (n - 5) - ----------------------------------- 4 n 2 15 (n - 1) (n ) (n - 5) 12 n n 10081994947066 n (n - 1) (n - 5) + ------------------------------------ 4 n 2 15 3 (n - 1) (n ) (n - 5) 7 n n 10 n n 2703344232960 n (n - 1) (n - 5) 8893704664968 n (n - 1) (n - 5) - ---------------------------------- + ----------------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) (n - 1) (n ) (n - 5) 6 n n 25 n n 523069747200 n (n - 1) (n - 5) n (n - 1) (n - 5) + --------------------------------- - --------------------------- 4 n 2 15 4 n 2 15 (n - 1) (n ) (n - 5) 24 (n - 1) (n ) (n - 5) 24 n n 18 n 2 n 119 n (n - 1) (n - 5) 292400563651 n ((n - 1) ) (n - 5) + --------------------------- + ------------------------------------- 4 n 2 15 10 n 3 13 24 (n - 1) (n ) (n - 5) 9 (n - 1) (n ) (n - 5) 17 n 2 n 1058428840349 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 13 12 (n - 1) (n ) (n - 5) 14 n 2 n 471432841660 n ((n - 1) ) (n - 5) + ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 15 n 2 n 1021726174697 n ((n - 1) ) (n - 5) - -------------------------------------- 10 n 3 13 3 (n - 1) (n ) (n - 5) 10 n 2 n 73036753920 n ((n - 1) ) (n - 5) + ------------------------------------ 10 n 3 13 (n - 1) (n ) (n - 5) 13 n 2 n 501350170176 n ((n - 1) ) (n - 5) - ------------------------------------- 10 n 3 13 (n - 1) (n ) (n - 5) 9 n 2 n 36 n 5 n 11496038400 n ((n - 1) ) (n - 5) n ((n - 1) ) (n - 2) - ----------------------------------- - ---------------------------- 10 n 3 13 21 n 6 8 (n - 1) (n ) (n - 5) 288 (n - 1) (n ) (n - 2) 35 n 5 n 34 n 5 n 19 n ((n - 1) ) (n - 2) 757 n ((n - 1) ) (n - 2) + --------------------------- - ---------------------------- 21 n 6 8 21 n 6 8 96 (n - 1) (n ) (n - 2) 144 (n - 1) (n ) (n - 2) 33 n 5 n 32 n 5 n 6227 n ((n - 1) ) (n - 2) 47419 n ((n - 1) ) (n - 2) + ----------------------------- - ------------------------------ 21 n 6 8 21 n 6 8 72 (n - 1) (n ) (n - 2) 48 (n - 1) (n ) (n - 2) 31 n 5 n 30 n 5 n 1198409 n ((n - 1) ) (n - 2) 3859079 n ((n - 1) ) (n - 2) + -------------------------------- - -------------------------------- 21 n 6 8 21 n 6 8 144 (n - 1) (n ) (n - 2) 72 (n - 1) (n ) (n - 2) 29 n 5 n 28 n 5 n 1079541 n ((n - 1) ) (n - 2) 310251325 n ((n - 1) ) (n - 2) + -------------------------------- - ---------------------------------- 21 n 6 8 21 n 6 8 4 (n - 1) (n ) (n - 2) 288 (n - 1) (n ) (n - 2) 27 n 5 n 26 n 5 n 989125405 n ((n - 1) ) (n - 2) 140270897 n ((n - 1) ) (n - 2) + ---------------------------------- - ---------------------------------- 21 n 6 8 21 n 6 8 288 (n - 1) (n ) (n - 2) 16 (n - 1) (n ) (n - 2) 25 n 5 n 24 n 5 n 1287038093 n ((n - 1) ) (n - 2) 346748411 n ((n - 1) ) (n - 2) + ----------------------------------- - ---------------------------------- 21 n 6 8 21 n 6 8 72 (n - 1) (n ) (n - 2) 12 (n - 1) (n ) (n - 2) 23 n 5 n 22 n 5 n 73049607 n ((n - 1) ) (n - 2) 35300103 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 21 n 6 8 21 n 6 8 2 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 21 n 5 n 20 n 5 n 25162686 n ((n - 1) ) (n - 2) 12452292 n ((n - 1) ) (n - 2) + --------------------------------- - --------------------------------- 21 n 6 8 21 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 5 n 18 n 5 n 3815424 n ((n - 1) ) (n - 2) 544320 n ((n - 1) ) (n - 2) + -------------------------------- - ------------------------------- 21 n 6 8 21 n 6 8 (n - 1) (n ) (n - 2) (n - 1) (n ) (n - 2) 19 n 20 n 18 n 133 n (n - 5) 7 n (n - 5) 581 n (n - 5) - ---------------- + ---------------- + ---------------- n 15 n 15 n 15 24 n (n - 5) 144 n (n - 5) 2 n (n - 5) 17 n 16 n 15 n 37163 n (n - 5) 4867709 n (n - 5) 6407583 n (n - 5) - ------------------ + -------------------- - -------------------- n 15 n 15 n 15 4 n (n - 5) 24 n (n - 5) 2 n (n - 5) 14 n 13 n 340880449 n (n - 5) 4102741643 n (n - 5) + ---------------------- - ----------------------- n 15 n 15 9 n (n - 5) 12 n (n - 5) 12 n 11 n 38124024939 n (n - 5) 103019369453 n (n - 5) + ------------------------ - ------------------------- n 15 n 15 16 n (n - 5) 8 n (n - 5) 10 n 6 n 161683840682 n (n - 5) 986717477592 n (n - 5) + ------------------------- + ------------------------ n 15 n 15 3 n (n - 5) n (n - 5) 5 n 8 n 853925848608 n (n - 5) 3807887427463 n (n - 5) - ------------------------ + ------------------------- n 15 n 15 n (n - 5) 9 n (n - 5) 9 n 4 n 173422812381 n (n - 5) 440893595520 n (n - 5) - ------------------------ + ------------------------ n 15 n 15 n (n - 5) n (n - 5) 7 n 3 n 2294237769614 n (n - 5) 101708006400 n (n - 5) - ------------------------- - ------------------------ n 15 n 15 3 n (n - 5) n (n - 5) 27 n 2 n 40620542687 n ((n - 1) ) (n - 6) - ------------------------------------ 9 n 3 17 324 (n - 1) (n ) (n - 6) 28 n 2 n 2588112823 n ((n - 1) ) (n - 6) + ----------------------------------- 9 n 3 17 324 (n - 1) (n ) (n - 6) 25 n 2 n 2701441669501 n ((n - 1) ) (n - 6) - -------------------------------------- 9 n 3 17 162 (n - 1) (n ) (n - 6) 26 n 2 n 2067986265907 n ((n - 1) ) (n - 6) + -------------------------------------- 9 n 3 17 1296 (n - 1) (n ) (n - 6) 29 n 2 n 262769449 n ((n - 1) ) (n - 6) - ---------------------------------- 9 n 3 17 648 (n - 1) (n ) (n - 6) 24 n 2 n 46771646745643 n ((n - 1) ) (n - 6) + --------------------------------------- 9 n 3 17 324 (n - 1) (n ) (n - 6) 23 n 2 n 674838588130309 n ((n - 1) ) (n - 6) - ---------------------------------------- 9 n 3 17 648 (n - 1) (n ) (n - 6) 22 n 2 n 8144673519692467 n ((n - 1) ) (n - 6) + ----------------------------------------- 9 n 3 17 1296 (n - 1) (n ) (n - 6) 21 n 2 n 20592732590714449 n ((n - 1) ) (n - 6) - ------------------------------------------ 9 n 3 17 648 (n - 1) (n ) (n - 6) 20 n 2 n 18 n n 43626573677699203 n ((n - 1) ) (n - 6) 7 n (n - 1) (n - 3) + ------------------------------------------ - -------------------------- 9 n 3 17 5 n 2 9 324 (n - 1) (n ) (n - 6) 36 (n - 1) (n ) (n - 3) 17 n n 16 n n 329 n (n - 1) (n - 3) 3451 n (n - 1) (n - 3) + -------------------------- - -------------------------- 5 n 2 9 5 n 2 9 36 (n - 1) (n ) (n - 3) 18 (n - 1) (n ) (n - 3) 15 n n 14 n n 42707 n (n - 1) (n - 3) 77119 n (n - 1) (n - 3) + --------------------------- - --------------------------- 5 n 2 9 5 n 2 9 18 (n - 1) (n ) (n - 3) 4 (n - 1) (n ) (n - 3) 13 n n 12 n n 1299739 n (n - 1) (n - 3) 3879659 n (n - 1) (n - 3) + ----------------------------- - ----------------------------- 5 n 2 9 5 n 2 9 12 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 11 n n 10 n n 11013268 n (n - 1) (n - 3) 22110088 n (n - 1) (n - 3) + ------------------------------ - ------------------------------ 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 9 (n - 1) (n ) (n - 3) 9 n n 8 n n 30576476 n (n - 1) (n - 3) 9200576 n (n - 1) (n - 3) + ----------------------------- - ---------------------------- 5 n 2 9 5 n 2 9 9 (n - 1) (n ) (n - 3) 3 (n - 1) (n ) (n - 3) 7 n n 6 n n 1618624 n (n - 1) (n - 3) 376320 n (n - 1) (n - 3) + ---------------------------- - --------------------------- 5 n 2 9 5 n 2 9 (n - 1) (n ) (n - 3) (n - 1) (n ) (n - 3) 19 n 2 n 77295133404659641 n ((n - 1) ) (n - 6) - ------------------------------------------ 9 n 3 17 162 (n - 1) (n ) (n - 6) 18 n 2 n 114082029780425017 n ((n - 1) ) (n - 6) + ------------------------------------------- 9 n 3 17 81 (n - 1) (n ) (n - 6) 17 n 2 n 18 n 6 278787921105851798 n ((n - 1) ) (n - 6) 5184 n ((n - 1) ) - ------------------------------------------- - -------------------- 9 n 3 17 26 n 6 81 (n - 1) (n ) (n - 6) (n - 1) (n ) and in Maple notation 7/5184*n^32*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-1949815/4*n^23*((n-1)^ n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+58669597/54*n^22*((n-1)^n)^4/(n-1)^20/(n^ n)^5*(n-2)^n/(n-2)^6-68679023/36*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2 )^6-119/1728*n^31*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+105/64*n^30*((n-\ 1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-4655/192*n^29*((n-1)^n)^4/(n-1)^20/(n^ n)^5*(n-2)^n/(n-2)^6+430045/1728*n^28*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2 )^6-1084447/576*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+56336203/5184 *n^26*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-84455525/1728*n^25*((n-1)^n) ^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+5546975/32*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^ 5*(n-2)^n/(n-2)^6-3275776/3*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+ 355712*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-73124870/27*n^19*((n-1 )^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+18610480/9*n^18*((n-1)^n)^4/(n-1)^20/(n ^n)^5*(n-2)^n/(n-2)^6-53760*n^15*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6+ 422094575/162*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-2)^n/(n-2)^6-53/324*n^31*((n -1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+1/324*n^32*((n-1)^n)^4/(n-1)^19/(n^n) ^5*(n-2)^n/(n-2)^7+1309/324*n^30*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-\ 20009/324*n^29*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+211999/324*n^28*((n -1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-1652123/324*n^27*((n-1)^n)^4/(n-1)^19 /(n^n)^5*(n-2)^n/(n-2)^7+9805271/324*n^26*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/ (n-2)^7-45262315/324*n^25*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+41123735 /81*n^24*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-118312915/81*n^23*((n-1)^ n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+269392724/81*n^22*((n-1)^n)^4/(n-1)^19/(n ^n)^5*(n-2)^n/(n-2)^7+6802176*n^18*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7 -3645952*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7+223806832/27*n^20*(( n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-482552932/81*n^21*((n-1)^n)^4/(n-1)^ 19/(n^n)^5*(n-2)^n/(n-2)^7+1204224*n^16*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n -2)^7-78900944/9*n^19*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-184320*n^15* ((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-2)^n/(n-2)^7-4585/432*n^28*((n-1)^n)^3/(n-1)^15 /(n^n)^4*(n-3)^n/(n-3)^9+85673/432*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n -3)^9-1109003/432*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+10562419/ 432*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-230151649/1296*n^24*((n-1 )^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+1303566929/1296*n^23*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-3)^n/(n-3)^9-486414425/108*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3 )^n/(n-3)^9-7/1296*n^30*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+455/1296*n ^29*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+1734719875/108*n^21*((n-1)^n)^ 3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-1234719199/27*n^20*((n-1)^n)^3/(n-1)^15/(n^n )^4*(n-3)^n/(n-3)^9+2799406505/27*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-\ 3)^9-15047828740/81*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+ 21014179004/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-276064544*n^16 *((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+1942987648/9*n^15*((n-1)^n)^3/(n-\ 1)^15/(n^n)^4*(n-3)^n/(n-3)^9-350292992/3*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-\ 3)^n/(n-3)^9+38943744*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9-6021120 *n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-3)^n/(n-3)^9+3153263/108*n^25*((n-1)^n)^3 /(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-8065577/36*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4 *(n-3)^n/(n-3)^10+144279631/108*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3) ^10-1/216*n^30*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+35/108*n^29*((n-1) ^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1135/108*n^28*((n-1)^n)^3/(n-1)^14/(n^n )^4*(n-3)^n/(n-3)^10+22661/108*n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^ 10-156113/54*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1355630875/216* n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+1263990425/54*n^21*((n-1)^n) ^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-3751762159/54*n^20*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-3)^n/(n-3)^10+4420943650/27*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/ (n-3)^10-8211026650/27*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+ 1317151256/3*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-1445326376/3*n^ 16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+387585376*n^15*((n-1)^n)^3/(n-\ 1)^14/(n^n)^4*(n-3)^n/(n-3)^10-215160192*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3 )^n/(n-3)^10+73492992*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10-\ 11612160*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^10+1/3456*n^34*((n-1)^ n)^2/(n-1)^10/(n^n)^3/(n-6)^16*(n-6)^n-19/432*n^33*((n-1)^n)^2/(n-1)^10/(n^n)^3 /(n-6)^16*(n-6)^n+2719/864*n^32*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^16*(n-6)^n-\ 2835005472929/864*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16-\ 24358576811/864*n^27*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16+1663401073/ 864*n^28*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16+1158966032995/3456*n^26* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16+4973461000464415/6*n^16*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16+1110742129416960*n^12*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-6)^n/(n-6)^16-561223109548800*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 6)^n/(n-6)^16+23023092534787/864*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6 )^16+3550652593302331/3456*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16-\ 312272800982269/1728*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16-\ 8476858883680735/1728*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16+ 3048749383680000*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+97579277679172608 *n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-82886815379796480*n^9*(n-1)^n/(n -1)^5/(n^n)^2*(n-7)^n/(n-7)^18+49015684664294400*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n -7)^n/(n-7)^18-17943671411712000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+ 1154597584672/9*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+126933055011 *n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-59077723896*n^17*((n-1)^n)^ 4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+11762247119/2304*n^30*((n-1)^n)^4/(n-1)^16/ (n^n)^5*(n-4)^n/(n-4)^14+2106985766471/10368*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5* (n-4)^n/(n-4)^14-184263644579/5184*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n -4)^14-1243081575437/1296*n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+ 77712122480381/20736*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-\ 62866864089169/5184*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+ 84074188388701/2592*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-\ 3426469079309/48*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+ 428600429637/2*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-1/12*n^25*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+10/3*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^ 4*(n-2)^n/(n-2)^7-727/12*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+1325 /2*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-19453/4*n^21*((n-1)^n)^3/( n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+25305*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n /(n-2)^7-1152041/12*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-888636*n^ 15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+632520*n^14*((n-1)^n)^3/(n-1)^ 13/(n^n)^4*(n-2)^n/(n-2)^7-1665806/3*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/ (n-2)^7+1612855/6*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7-\ 2233339053031/12*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-269568*n^13 *((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7+835260*n^16*((n-1)^n)^3/(n-1)^13/ (n^n)^4*(n-2)^n/(n-2)^7+51840*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-2)^n/(n-2)^7 +17155754640*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-191038120701*n^ 19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-2335132800*n^15*((n-1)^n)^4/(n -1)^16/(n^n)^5*(n-4)^n/(n-4)^14+1/20736*n^38*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4) ^n/(n-4)^14-29/5184*n^37*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+1/6*n^23 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-26/3*n^22*((n-1)^n)^2/(n-1)^9/(n^n )^3*(n-3)^n/(n-3)^9+409/2*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-8707 /3*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+166079/6*n^19*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-187668*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/ (n-3)^9+5597021/6*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-10360111/3*n ^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+9567084*n^15*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-3)^n/(n-3)^9-59201864/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/( n-3)^9+89469896/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9-32003344*n^ 12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+23031936*n^11*((n-1)^n)^2/(n-1)^ 9/(n^n)^3*(n-3)^n/(n-3)^9-9937152*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3 )^9+1935360*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^9+3143/10368*n^36*((n -1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-13231/1296*n^35*((n-1)^n)^4/(n-1)^16 /(n^n)^5*(n-4)^n/(n-4)^14+4972763/20736*n^34*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4) ^n/(n-4)^14-21672367/5184*n^33*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+ 32364703/576*n^32*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14-85983977/144*n^ 31*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-4)^n/(n-4)^14+23/4*n^20*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^11-2167/12*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-1/12 *n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-525229/12*n^17*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^11+1599437/4*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11 -32341661/12*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+54573673/4*n^14*(n-1 )^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-313688287/6*n^13*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^11+151593178*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-\ 989149928/3*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+527917684*n^10*(n-1)^ n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-601760808*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^ n/(n-4)^11+460400832*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-211006080*n^7 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11+13691/4*n^18*(n-1)^n/(n-1)^5/(n^n)^2* (n-4)^n/(n-4)^11+43545600*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^11-133/16*n ^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^10+3423/16*n^21*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-3)^n/(n-3)^10-158123/48*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/ 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)^4*(n-5)^n/(n-5)^16-1333927/576*n^32*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5 )^16+7294637/144*n^31*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-2869764051/ 8*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-5163567318*n^9*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^12+4124924748*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^ 12-7668709538/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+13302327269/12*n^ 12*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-1964254320*n^7*(n-1)^n/(n-1)^4/(n^n )^2*(n-4)^n/(n-4)^12+297073519652/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/ (n-4)^12+31970145592*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-\ 18705643488*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+97807149832/3*n^ 14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-1158769949981/54*n^15*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+6728238720*n^10*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-4)^n/(n-4)^12-693003227/54*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-\ 4)^12+90678973/54*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+7443832235 /96*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+12983012917/9*n^18*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-321163418569/72*n^17*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-4)^n/(n-4)^12-11958189705/32*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*( n-4)^n/(n-4)^12-113087884658/3*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^ 12-1117670400*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-623/864*n^27*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+119/4*n^26*((n-1)^n)^2/(n-1)^10/(n^ n)^3*(n-4)^n/(n-4)^12-18151/24*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^ 12+1912421/144*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12-24648169/144* n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^12+7/864*n^28*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-4)^n/(n-4)^12+85499/288*n^33*((n-1)^n)^3/(n-1)^14/(n^n)^4/(n-5)^ 14*(n-5)^n-203036/27*n^32*((n-1)^n)^3/(n-1)^14/(n^n)^4/(n-5)^14*(n-5)^n+ 20483599/144*n^31*((n-1)^n)^3/(n-1)^14/(n^n)^4/(n-5)^14*(n-5)^n-199667849473/ 864*n^28*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14+517140341381/288*n^27*(( n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14-9977233342621/864*n^26*((n-1)^n)^3/ (n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14+17805314948015/288*n^25*((n-1)^n)^3/(n-1)^14/ (n^n)^4*(n-5)^n/(n-5)^14-119441393640887/432*n^24*((n-1)^n)^3/(n-1)^14/(n^n)^4* (n-5)^n/(n-5)^14+74457012391001/72*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n -5)^14-349072866068099/108*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14+ 151490644511783/18*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14-\ 490255057381685/27*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14+ 289673504039086/9*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14+1/324*n^28 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-97/324*n^27*((n-1)^n)^2/(n-1)^9/( n^n)^3*(n-4)^n/(n-4)^13-15840053/162*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/( n-4)^13+27839152/27*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-683730692 /81*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+17639038885/324*n^20*((n-\ 1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-90415987805/324*n^19*((n-1)^n)^2/(n-1) ^9/(n^n)^3*(n-4)^n/(n-4)^13+92470537354/81*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 4)^n/(n-4)^13-301917561413/81*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13 +783539929448/81*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+33281416256* n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-20149531392*n^11*((n-1)^n)^2/ (n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13+282587202208/9*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^ 3*(n-4)^n/(n-4)^13-534048555332/27*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-\ 4)^13+7476526080*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-37805520624* n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-1277337600*n^9*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-4)^n/(n-4)^13+31603696155648*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4 *(n-5)^n/(n-5)^14-14811875398656*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5 )^14+53121822458032*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14-\ 46303551031092*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14+1088/81*n^26* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^13-30001/81*n^25*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-4)^n/(n-4)^13+1139689/162*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/( n-4)^13+4342057021440*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14-\ 47376199864320*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14-597793996800* n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14-902076605/432*n^30*((n-1)^n) ^3/(n-1)^14/(n^n)^4*(n-5)^n/(n-5)^14+3514070011/144*n^29*((n-1)^n)^3/(n-1)^14/( n^n)^4*(n-5)^n/(n-5)^14-7058975/216*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 15+24101/18*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+42221711/72*n^21*(n-1 )^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-2599418101/324*n^20*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-5)^n/(n-5)^15+9251302487/108*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15 -939090892103/1296*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+235309190935/ 48*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-1439690568043/54*n^16*(n-1)^n/ (n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+4201893290231/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^15-33247997778751/81*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 15+31125291594089/27*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+ 16651013964032/3*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-3652536211968*n^8 *(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+39772143623492/9*n^11*(n-1)^n/(n-1)^5 /(n^n)^2*(n-5)^n/(n-5)^15-207289277666240/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5) ^n/(n-5)^15+1469539384320*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-\ 52134782807296/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-271221350400*n^6 *(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15+287/432*n^25*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^15-12299/324*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-7/1296 *n^26*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^15-1/864*n^36*((n-1)^n)^3/(n-1)^14/ (n^n)^4/(n-5)^14*(n-5)^n+41/288*n^35*((n-1)^n)^3/(n-1)^14/(n^n)^4/(n-5)^14*(n-5 )^n-7105/864*n^34*((n-1)^n)^3/(n-1)^14/(n^n)^4/(n-5)^14*(n-5)^n-1/1296*n^26*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+67/648*n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-5) ^n/(n-5)^16-2779/432*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-1414853/216* n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+2222/9*n^23*(n-1)^n/(n-1)^4/(n^n) ^2*(n-5)^n/(n-5)^16+13780991/108*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-\ 1226222957/648*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+3541289827/162*n^ 19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-86241734215/432*n^18*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-5)^n/(n-5)^16+104725443355/72*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n /(n-5)^16-3670055833847/432*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+ 2150429005361/54*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-48425073199363/ 324*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+36160047009713/81*n^13*(n-1)^ n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+2649081692656*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n -5)^n/(n-5)^16-1819045519680*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+ 17230224207808/9*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16-28354575387061/ 27*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+760615430400*n^7*(n-1)^n/(n-1) ^4/(n^n)^2*(n-5)^n/(n-5)^16-7917650444812/3*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^ n/(n-5)^16-145297152000*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^16+ 2102808345955/1296*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-\ 9408682841345/1296*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+ 2184779148179/81*n^26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-\ 13485235432121/162*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+ 17249927974733/81*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-\ 1348665861008/3*n^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+ 6993221727148/9*n^22*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+674126927424 *n^18*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-305309046528*n^17*((n-1)^n) ^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+1209766071936*n^20*((n-1)^n)^4/(n-1)^17/(n ^n)^5*(n-4)^n/(n-4)^13-3260810534152/3*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^ n/(n-4)^13+86448798720*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-\ 1044864744432*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-11496038400*n^ 15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+1/1296*n^38*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-4)^n/(n-4)^13-107/1296*n^37*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/ (n-4)^13+5359/1296*n^36*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-167173/ 1296*n^35*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+1823149/648*n^34*((n-1) ^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-29589323/648*n^33*((n-1)^n)^4/(n-1)^17/ (n^n)^5*(n-4)^n/(n-4)^13+41253599/72*n^32*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/ (n-4)^13-410492653/72*n^31*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13+ 6592412669/144*n^30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-324*n^15*((n-\ 1)^n)^5/(n-1)^21/(n^n)^5-881967/8*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17 +505765/144*n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-3302192543/72*n^22*(n -1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+61540135/24*n^23*(n-1)^n/(n-1)^4/(n^n)^2 *(n-6)^n/(n-6)^17-11231/144*n^26*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+ 46530717085/72*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-1049857566701/144* n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+9584712725215/144*n^19*(n-1)^n/(n -1)^4/(n^n)^2*(n-6)^n/(n-6)^17-23764800433777/48*n^18*(n-1)^n/(n-1)^4/(n^n)^2*( n-6)^n/(n-6)^17+144542817364075/48*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^ 17-539582477905669/36*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+ 2193772647798755/36*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-\ 1812926177352416/9*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+ 4834214028032155/9*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+ 2257983960805440*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-1454776764883200* n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17+1901071649881700*n^11*(n-1)^n/(n-1 )^4/(n^n)^2*(n-6)^n/(n-6)^17-3425129010060092/3*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n -6)^n/(n-6)^17+575104271616000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-\ 2417283956343984*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-104613949440000* n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^17-1/144*n^28*(n-1)^n/(n-1)^4/(n^n)^2 /(n-6)^17*(n-6)^n+155/144*n^27*(n-1)^n/(n-1)^4/(n^n)^2/(n-6)^17*(n-6)^n+ 69179378/9*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-37277965/36*n^26* ((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+1/576*n^30*((n-1)^n)^2/(n-1)^10/( n^n)^3*(n-5)^n/(n-5)^13-35/192*n^29*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^ 13+643/72*n^28*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-42527/16*n^27*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+1/96*n^30*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-5)^n/(n-5)^15-4794335/4*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 1051925/16*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+802139741/48*n^24* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-4380146827/24*n^23*((n-1)^n)^2/(n-\ 1)^8/(n^n)^3*(n-5)^n/(n-5)^15+152282661589/96*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3* (n-5)^n/(n-5)^15-88702165123/8*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^ 15+2007139632407/32*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-\ 4608366343399/16*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 25764951886027/24*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-\ 38853359969129/12*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 47101371240325/6*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+ 22304469258864*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-13062459110976 *n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+22843929397422*n^14*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-15138393688265*n^15*((n-1)^n)^2/(n-1)^8/(n ^n)^3*(n-5)^n/(n-5)^15+4708853533440*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/( n-5)^15-26322814768068*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-\ 784604620800*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15-31/24*n^29*((n-1) ^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^15+7153/96*n^28*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-5)^n/(n-5)^15-1/144*n^32*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+49/ 72*n^31*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-4451/144*n^30*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+6919/8*n^29*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-\ 4)^n/(n-4)^13-1203671/72*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+ 8541913/36*n^27*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+35153135174016000 /(n^n)*n^4*(n-7)^n/(n-7)^19+34237/864*n^33*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n /(n-5)^13-2426327/2592*n^32*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+ 7150475/432*n^31*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-590142743/2592*n ^30*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+1079776799/432*n^29*((n-1)^n) ^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-115560349093/5184*n^28*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-5)^n/(n-5)^13+54746162286974/27*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4 *(n-5)^n/(n-5)^13+1749235576320*n^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5) ^13-797714178048*n^14*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+ 141301313971/864*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+ 4371080645269/864*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-\ 5161414949455/5184*n^26*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-\ 27900569081743/1296*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+ 16591071065353/216*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-\ 74381584432669/324*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+ 30942844674475/54*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-\ 96213991073929/81*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+ 9371633976032/3*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-\ 2815291777312*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13+227975454720*n ^13*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-2700167719936*n^16*((n-1)^n)^ 3/(n-1)^15/(n^n)^4*(n-5)^n/(n-5)^13-30656102400*n^12*((n-1)^n)^3/(n-1)^15/(n^n) ^4*(n-5)^n/(n-5)^13+1/3456*n^42*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8-11 /576*n^41*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8+2053/3456*n^40*((n-1)^n) ^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8-5005/432*n^39*((n-1)^n)^6/(n-1)^26/(n^n)^7* (n-2)^n/(n-2)^8+274709/1728*n^38*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8-\ 1410347/864*n^37*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8-1/5184*n^36*((n-1 )^n)^3/(n-1)^15/(n^n)^4/(n-5)^13*(n-5)^n+19/864*n^35*((n-1)^n)^3/(n-1)^15/(n^n) ^4/(n-5)^13*(n-5)^n-6115/5184*n^34*((n-1)^n)^3/(n-1)^15/(n^n)^4/(n-5)^13*(n-5)^ n+47/72*n^32*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-1/144*n^33*((n-1)^n) ^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-1588465811815/9*n^19*((n-1)^n)^3/(n-1)^14/ (n^n)^4*(n-4)^n/(n-4)^12-250351996896*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n /(n-4)^12+125993764224*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-\ 356626502588*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+847183100410/3* n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-39392386560*n^13*((n-1)^n)^3 /(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+17246949581/24*n^24*((n-1)^n)^3/(n-1)^14/(n^ n)^4*(n-4)^n/(n-4)^12-18734275669/144*n^25*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n /(n-4)^12-155366275757/48*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-\ 1294799042257/36*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+ 1592783008589/18*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+ 286262713219/24*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+346913263512 *n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12+5748019200*n^12*((n-1)^n)^3 /(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^12-145152*n^24*((n-1)^n)^8/(n-1)^36/(n^n)^8+ 200172720073/432*n^28*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-30680398273 /324*n^29*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+1/288*n^31*((n-1)^n)^2/ (n-1)^10/(n^n)^3/(n-5)^14*(n-5)^n-59/144*n^30*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-5 )^14*(n-5)^n+6509/288*n^29*((n-1)^n)^2/(n-1)^10/(n^n)^3/(n-5)^14*(n-5)^n-1/648* n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+2/27*n^26*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-2)^n/(n-2)^7-1063/648*n^25*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/( n-2)^7+2401/108*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-133591/648*n^ 23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+24937/18*n^22*((n-1)^n)^3/(n-1) ^15/(n^n)^4*(n-2)^n/(n-2)^7-4515065/648*n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2) ^n/(n-2)^7+2883433/108*n^20*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-\ 6362695/81*n^19*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-3257984/9*n^15*((n -1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+684928/3*n^14*((n-1)^n)^3/(n-1)^15/(n ^n)^4*(n-2)^n/(n-2)^7-24682522/81*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-\ 2)^7+4789178/27*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7-87552*n^13*(( n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7+3517628/9*n^16*((n-1)^n)^3/(n-1)^15/ (n^n)^4*(n-2)^n/(n-2)^7+15360*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-2)^n/(n-2)^7 -35237/432*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+436633/432*n^21*( (n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-3911939/432*n^20*((n-1)^n)^2/(n-1) ^10/(n^n)^3*(n-3)^n/(n-3)^10-1/6*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+ 13/3*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-143/3*n^12*(n-1)^n/(n-1)^4/(n ^n)^2*(n-2)^n/(n-2)^7+868/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-6349/6 *n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+7147/3*n^9*(n-1)^n/(n-1)^4/(n^n)^ 2*(n-2)^n/(n-2)^7-3214*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7+2364*n^7*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n-2)^7-720*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-2)^n/(n -2)^7+565/6*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-28457/18*n^21*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+322805/18*n^20*((n-1)^n)^2/(n-1)^9/(n ^n)^3*(n-3)^n/(n-3)^10+1/18*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-\ 61/18*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-291191/2*n^19*((n-1)^n) ^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+15731093/18*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^ 3*(n-3)^n/(n-3)^10-71093411/18*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^ 10+13549139*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-4843/432*n^31*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+71173/216*n^30*((n-1)^n)^3/(n-1)^13/ (n^n)^4*(n-4)^n/(n-4)^13+1148838131/108*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4) ^n/(n-4)^13-33318071669/432*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+ 97510359419/216*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-927796321751 /432*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+1799788459781/216*n^22* ((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-949316986879/36*n^21*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+3665675340857/54*n^20*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-4)^n/(n-4)^13-1271271060545/9*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^ n/(n-4)^13-230934510432*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+ 119667867264*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-308025365636*n^ 17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+235106900610*n^18*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-38434383360*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-4)^n/(n-4)^13+310042302312*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^ 13+5748019200*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-1452755/216*n^ 29*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13+10949255/108*n^28*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-4)^n/(n-4)^13-253073311/216*n^27*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-4)^n/(n-4)^13+997715/5184*n^28*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-\ 19949875/2592*n^27*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-13859047415/2592*n^ 25*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+256472135795/2592*n^24*(n-1)^n/(n-1 )^5/(n^n)^2*(n-7)^n/(n-7)^18-284986007495/192*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-7 )^n/(n-7)^18+94716529389845/5184*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-\ 964936110898355/5184*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+ 2727605356729405/1728*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-\ 14490656061887755/1296*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+ 42933401204155145/648*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-\ 35458683629766635/108*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+ 109963315344484610/81*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-\ 377808437571073865/81*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+ 357192501775981790/27*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-\ 92058770008804160/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+ 57450393420240260*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18-\ 85228145960561856*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-7)^n/(n-7)^18+22501417/1728*n ^36*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8-35724925/432*n^35*((n-1)^n)^6/ (n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8+1468661741/3456*n^34*((n-1)^n)^6/(n-1)^26/(n^n )^7*(n-2)^n/(n-2)^8-3086379833/1728*n^33*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/( n-2)^8+21358986089/3456*n^32*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8-\ 1907354063/108*n^31*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8+2000571149/48* n^30*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8-17491611835/216*n^29*((n-1)^n )^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8+128693688*n^28*((n-1)^n)^6/(n-1)^26/(n^n)^ 7*(n-2)^n/(n-2)^8-993002663/6*n^27*((n-1)^n)^6/(n-1)^26/(n^n)^7*(n-2)^n/(n-2)^8 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(n^n)^2*(n-6)^n/(n-6)^18+35653959043023227/54*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-6 )^n/(n-6)^18-92457025506726911/54*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18 -6640084016429280*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+4217718212438400 *n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-17367751002166442/3*n^11*(n-1)^n/ (n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+31965204060333332/9*n^12*(n-1)^n/(n-1)^4/(n^n) ^2*(n-6)^n/(n-6)^18-1646897761152000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^ 18+7225301869775528*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+1/96*n^34*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-11/16*n^33*((n-1)^n)^4/(n-1)^18/(n^n) ^5*(n-3)^n/(n-3)^9+127/6*n^32*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+ 3068328479/24*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-3784842167/12*n ^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+1251241979/2*n^22*((n-1)^n)^4/ (n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-2967022397/3*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-3)^n/(n-3)^9+1227758126*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-\ 1169398524*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+823827888*n^18*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-403862976*n^17*((n-1)^n)^4/(n-1)^18/( n^n)^5*(n-3)^n/(n-3)^9+122819328*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3 )^9-17418240*n^15*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-9701/24*n^31*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+257723/48*n^30*((n-1)^n)^4/(n-1)^18/( n^n)^5*(n-3)^n/(n-3)^9-632713/12*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3 )^9+9529367/24*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-56327129/24*n^ 27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9+1061011313/96*n^26*((n-1)^n)^4/ (n-1)^18/(n^n)^5*(n-3)^n/(n-3)^9-2008184915/48*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^ 5*(n-3)^n/(n-3)^9+3481771215/16*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4) ^11-20233912831/24*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-341/36*n^ 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4427136*n^19*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7-43215636*n^22*((n-1)^ n)^5/(n-1)^22/(n^n)^6*(n-2)^n/(n-2)^7-622080*n^18*((n-1)^n)^5/(n-1)^22/(n^n)^6* (n-2)^n/(n-2)^7+7/144*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-49/18*n ^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+10045/144*n^22*((n-1)^n)^2/(n-\ 1)^10/(n^n)^3*(n-3)^n/(n-3)^9-78127/72*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^ n/(n-3)^9+1650145/144*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-3133067 /36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-1169/5184/(n^n)*n^23*(n-6 )^n/(n-6)^18+7/5184/(n^n)*n^24*(n-6)^n/(n-6)^18+35379359855/2592/(n^n)*n^18*(n-\ 6)^n/(n-6)^18-530667462955/2592/(n^n)*n^17*(n-6)^n/(n-6)^18+12692086685327/5184 /(n^n)*n^16*(n-6)^n/(n-6)^18-122197596531829/5184/(n^n)*n^15*(n-6)^n/(n-6)^18+ 105833457848755/576/(n^n)*n^14*(n-6)^n/(n-6)^18-2007913912373005/1728/(n^n)*n^ 13*(n-6)^n/(n-6)^18+15438189885452831/2592/(n^n)*n^12*(n-6)^n/(n-6)^18-\ 1995977255378456/81/(n^n)*n^11*(n-6)^n/(n-6)^18+13228515995910565/162/(n^n)*n^ 10*(n-6)^n/(n-6)^18+2278102500803080/3/(n^n)*n^6*(n-6)^n/(n-6)^18-\ 583671668960800/(n^n)*n^5*(n-6)^n/(n-6)^18+23585248421881937/54/(n^n)*n^8*(n-6) ^n/(n-6)^18-69389099212973995/324/(n^n)*n^9*(n-6)^n/(n-6)^18+272201339424000/(n ^n)*n^4*(n-6)^n/(n-6)^18-6073514516658274/9/(n^n)*n^7*(n-6)^n/(n-6)^18-\ 57634536960000/(n^n)*n^3*(n-6)^n/(n-6)^18-1/144*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n -5)^n/(n-5)^13+2/3*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-709/24*n^22*(n -1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+17747927041/3*n^13*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^13+35550016896*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-\ 24294394368*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+19261/24*n^21*(n-1)^n/ (n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+4887337/24*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^ n/(n-5)^13-29945/2*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-150616949/72*n ^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-2671/288*n^39*((n-1)^n)^6/(n-1)^28 /(n^n)^7*(n-2)^n/(n-2)^6+68651/576*n^38*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n -2)^6-662735/576*n^37*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6-22496111/432 *n^35*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+878394493/3456*n^34*((n-1)^n )^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+7482811/864*n^36*((n-1)^n)^6/(n-1)^28/(n^n )^7*(n-2)^n/(n-2)^6-61/3456*n^41*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+ 881/1728*n^40*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+1/3456*n^42*((n-1)^n )^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+9013692869/432*n^30*((n-1)^n)^6/(n-1)^28/( n^n)^7*(n-2)^n/(n-2)^6-8428031437/216*n^29*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n /(n-2)^6+6459947543/108*n^28*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6-\ 1338385135/18*n^27*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+1/48*n^31*((n-1 )^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-49/48*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-2)^n/(n-2)^7+371/16*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-15557 /48*n^28*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+149771/48*n^27*((n-1)^n)^ 4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-351013/16*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5* (n-2)^n/(n-2)^7+5593115/48*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-\ 22889855/48*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+1519490*n^23*((n-\ 1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-45377395/12*n^22*((n-1)^n)^4/(n-1)^18/ (n^n)^5*(n-2)^n/(n-2)^7-10062684*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2 )^7+5663952*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7-10918363*n^20*((n -1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+21970786/3*n^21*((n-1)^n)^4/(n-1)^18/ (n^n)^5*(n-2)^n/(n-2)^7-1954368*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2) ^7+12278256*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+311040*n^15*((n-1 )^n)^4/(n-1)^18/(n^n)^5*(n-2)^n/(n-2)^7+61/24*n^28*((n-1)^n)^3/(n-1)^14/(n^n)^4 *(n-3)^n/(n-3)^9-1721/24*n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+ 29833/24*n^26*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-355955/24*n^25*((n-1 )^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+3102931/24*n^24*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-3)^n/(n-3)^9-6822361/8*n^23*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3) ^9+104355515/24*n^22*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-1/24*n^29*((n -1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-1/1296*n^34*((n-1)^n)^6/(n-1)^28/(n^n )^6+23/648*n^33*((n-1)^n)^6/(n-1)^28/(n^n)^6-329/432*n^32*((n-1)^n)^6/(n-1)^28/ (n^n)^6+1639/162*n^31*((n-1)^n)^6/(n-1)^28/(n^n)^6-120707/1296*n^30*((n-1)^n)^6 /(n-1)^28/(n^n)^6+136081/216*n^29*((n-1)^n)^6/(n-1)^28/(n^n)^6-4197701/1296*n^ 28*((n-1)^n)^6/(n-1)^28/(n^n)^6+4182965/324*n^27*((n-1)^n)^6/(n-1)^28/(n^n)^6-\ 4354625/108*n^26*((n-1)^n)^6/(n-1)^28/(n^n)^6+8018560/81*n^25*((n-1)^n)^6/(n-1) ^28/(n^n)^6-15425251/81*n^24*((n-1)^n)^6/(n-1)^28/(n^n)^6+2556164/9*n^23*((n-1) ^n)^6/(n-1)^28/(n^n)^6-965836/3*n^22*((n-1)^n)^6/(n-1)^28/(n^n)^6+804416/3*n^21 *((n-1)^n)^6/(n-1)^28/(n^n)^6-154752*n^20*((n-1)^n)^6/(n-1)^28/(n^n)^6+55296*n^ 19*((n-1)^n)^6/(n-1)^28/(n^n)^6-4413955/5184/(n^n)*n^21*(n-6)^n/(n-6)^18+91175/ 5184/(n^n)*n^22*(n-6)^n/(n-6)^18-617314999/864/(n^n)*n^19*(n-6)^n/(n-6)^18+ 12391421/432/(n^n)*n^20*(n-6)^n/(n-6)^18+1/1728*n^39*((n-1)^n)^7/(n-1)^32/(n^n) ^7-17/576*n^38*((n-1)^n)^7/(n-1)^32/(n^n)^7+1223/1728*n^37*((n-1)^n)^7/(n-1)^32 /(n^n)^7-18323/1728*n^36*((n-1)^n)^7/(n-1)^32/(n^n)^7+64063/576*n^35*((n-1)^n)^ 7/(n-1)^32/(n^n)^7-1498693/1728*n^34*((n-1)^n)^7/(n-1)^32/(n^n)^7+9004373/1728* n^33*((n-1)^n)^7/(n-1)^32/(n^n)^7-14206427/576*n^32*((n-1)^n)^7/(n-1)^32/(n^n)^ 7+80550503/864*n^31*((n-1)^n)^7/(n-1)^32/(n^n)^7-122491405/432*n^30*((n-1)^n)^7 /(n-1)^32/(n^n)^7+50075909/72*n^29*((n-1)^n)^7/(n-1)^32/(n^n)^7-148243091/108*n ^28*((n-1)^n)^7/(n-1)^32/(n^n)^7+38942743/18*n^27*((n-1)^n)^7/(n-1)^32/(n^n)^7-\ 2686481*n^26*((n-1)^n)^7/(n-1)^32/(n^n)^7+2570338*n^25*((n-1)^n)^7/(n-1)^32/(n^ n)^7-1828416*n^24*((n-1)^n)^7/(n-1)^32/(n^n)^7+910656*n^23*((n-1)^n)^7/(n-1)^32 /(n^n)^7-283392*n^22*((n-1)^n)^7/(n-1)^32/(n^n)^7-652629515245415/18*n^14*(n-1) ^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+291111390699994*n^11*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-6)^n/(n-6)^16-551783207677672/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6) ^16+74339923392000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-353003026735488 *n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-13076743680000*n^6*(n-1)^n/(n-1) ^5/(n^n)^2*(n-6)^n/(n-6)^16-1/288*n^28*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^16*(n-6)^n +143/288*n^27*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^16*(n-6)^n-9563/288*n^26*(n-1)^n/(n -1)^5/(n^n)^2/(n-6)^16*(n-6)^n+2919065845/576*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-3)^n/(n-3)^11-4041202435/192*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3 )^11+2523840431/36*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11-\ 13489461799/72*n^23*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11+14407823209/ 36*n^22*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11-2032871254/3*n^21*((n-1)^ n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11+896331179*n^20*((n-1)^n)^4/(n-1)^16/(n^n )^5*(n-3)^n/(n-3)^11-905283018*n^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^ 11+673208856*n^18*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11-346877532*n^17* ((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11+110425680*n^16*((n-1)^n)^4/(n-1)^ 16/(n^n)^5*(n-3)^n/(n-3)^11-16329600*n^15*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/ (n-3)^11+1/1728*n^31*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-139/1728*n^30 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+1/576*n^34*((n-1)^n)^4/(n-1)^16/( n^n)^5*(n-3)^n/(n-3)^11-77/576*n^33*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^ 11+343/72*n^32*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11-2507/24*n^31*((n-1 )^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11+455177/288*n^30*((n-1)^n)^4/(n-1)^16/( n^n)^5*(n-3)^n/(n-3)^11-5051009/288*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/( n-3)^11+1332784/9*n^28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11-70134509/ 72*n^27*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-3)^n/(n-3)^11-184738007/72*n^26*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+779362117/36*n^25*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-4)^n/(n-4)^13-20848277797/144*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4) ^n/(n-4)^13+18604601275/24*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-\ 481285891151/144*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+ 837216677479/72*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-\ 1173517605679/36*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+ 439546709833/6*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+152497409832* n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-82813891968*n^14*((n-1)^n)^3 /(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13+182417180658*n^17*((n-1)^n)^3/(n-1)^12/(n^n) ^4*(n-4)^n/(n-4)^13-130725880293*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4 )^13+27748033920*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-\ 194407374276*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-4311014400*n^12 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-4)^n/(n-4)^13-15/2/(n^n)*n^14*(n-4)^n/(n-4)^11 +1601/8/(n^n)*n^13*(n-4)^n/(n-4)^11-3135/(n^n)*n^12*(n-4)^n/(n-4)^11+256443/8/( n^n)*n^11*(n-4)^n/(n-4)^11-449955/2/(n^n)*n^10*(n-4)^n/(n-4)^11+8873843/8/(n^n) *n^9*(n-4)^n/(n-4)^11-3863310/(n^n)*n^8*(n-4)^n/(n-4)^11+9412832/(n^n)*n^7*(n-4 )^n/(n-4)^11-15606690/(n^n)*n^6*(n-4)^n/(n-4)^11+16661682/(n^n)*n^5*(n-4)^n/(n-\ 4)^11-10239480/(n^n)*n^4*(n-4)^n/(n-4)^11+1/8/(n^n)*n^15*(n-4)^n/(n-4)^11+ 2721600/(n^n)*n^3*(n-4)^n/(n-4)^11+14/9*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^10-1409/36*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+5269/9*n^16*(n-1)^ n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-23219/4*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n /(n-3)^10+120784/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-7230227/36*n^ 13*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+6561457/9*n^12*(n-1)^n/(n-1)^5/(n^n )^2*(n-3)^n/(n-3)^10-17318500/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+ 32795324/9*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10-14418572/3*n^9*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+4174336*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/( n-3)^10-2134848*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+483840*n^6*(n-1)^n /(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+7/48/(n^n)*n^19*(n-5)^n/(n-5)^14-175/12/(n^n) *n^18*(n-5)^n/(n-5)^14+2002/3/(n^n)*n^17*(n-5)^n/(n-5)^14-222355/12/(n^n)*n^16* (n-5)^n/(n-5)^14+8377187/24/(n^n)*n^15*(n-5)^n/(n-5)^14-56696185/12/(n^n)*n^14* (n-5)^n/(n-5)^14+284887603/6/(n^n)*n^13*(n-5)^n/(n-5)^14-4331372045/12/(n^n)*n^ 12*(n-5)^n/(n-5)^14+100559389931/48/(n^n)*n^11*(n-5)^n/(n-5)^14-27907324445/3/( n^n)*n^10*(n-5)^n/(n-5)^14-198843249780/(n^n)*n^6*(n-5)^n/(n-5)^14+176346935856 /(n^n)*n^5*(n-5)^n/(n-5)^14-239919594005/3/(n^n)*n^8*(n-5)^n/(n-5)^14+ 94348979816/3/(n^n)*n^9*(n-5)^n/(n-5)^14-92920443840/(n^n)*n^4*(n-5)^n/(n-5)^14 +149671037131/(n^n)*n^7*(n-5)^n/(n-5)^14+21794572800/(n^n)*n^3*(n-5)^n/(n-5)^14 -55811/72*n^28*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+296771/16*n^27*((n -1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-7904395/24*n^26*((n-1)^n)^2/(n-1)^10 /(n^n)^3*(n-5)^n/(n-5)^14+648919121/144*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5) ^n/(n-5)^14-438316013/9*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+ 121750257941/288*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-\ 429256529971/144*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+ 1651388831755/96*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-\ 1957836167339/24*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+ 22921904567461/72*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-\ 18380115830899/18*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+1/48*n^27* ((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+310507/8*n^23*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-4)^n/(n-4)^13-12113969/24*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/( n-4)^13+29644759/6*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13-37214385*n ^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+10493876965/48*n^19*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^13+428310043333/2592*n^29*((n-1)^n)^5/(n-1)^21/ (n^n)^6*(n-3)^n/(n-3)^11-39728915867/81*n^28*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3) ^n/(n-3)^11+97500009415/81*n^27*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-\ 394147481449/162*n^26*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11+ 108587089909/27*n^25*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-5376481856*n ^24*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11+17151688000/3*n^23*((n-1)^n)^ 5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-4718060684*n^22*((n-1)^n)^5/(n-1)^21/(n^n)^ 6*(n-3)^n/(n-3)^11+2909554344*n^21*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^ 11-1260343872*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11+341642880*n^19 *((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-43545600*n^18*((n-1)^n)^5/(n-1)^ 21/(n^n)^6*(n-3)^n/(n-3)^11+43445/2592*n^37*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^ n/(n-3)^11-762529/2592*n^36*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11+ 4981357/1296*n^35*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-33554929/864*n^ 34*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11+44812795/144*n^33*((n-1)^n)^5/ (n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-386257463/192*n^32*((n-1)^n)^5/(n-1)^21/(n^n) ^6*(n-3)^n/(n-3)^11+27515167003/2592*n^31*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/ (n-3)^11-238855450339/5184*n^30*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-\ 389183192327/1296*n^29*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-4)^n/(n-4)^13-1109940103 /1296*n^30*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-214332269797/1728*n^28 *((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+2478933487/216*n^29*((n-1)^n)^3/ (n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+709203992323/648*n^27*((n-1)^n)^3/(n-1)^12/(n ^n)^4*(n-5)^n/(n-5)^16-6870281162195/864*n^26*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5 )^n/(n-5)^16+6888958890205/144*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^ 16-1239597037759729/5184*n^24*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+ 429468064523083/432*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-\ 185484601785563/54*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+ 1593065141560711/162*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-\ 1252880514675577/54*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+ 402655310011808/9*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+ 58526353640304*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-\ 29124639789120*n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+ 86060249745736*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-\ 208976359875292/3*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16+ 9024996153600*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-82253210645316 *n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-1307674368000*n^12*((n-1)^n )^3/(n-1)^12/(n^n)^4*(n-5)^n/(n-5)^16-756680383/96*n^31*((n-1)^n)^4/(n-1)^18/(n ^n)^5*(n-4)^n/(n-4)^12+3822910829/64*n^30*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/ (n-4)^12-213635678879/576*n^29*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+ 242460191/288*n^32*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+2120681658361/ 3*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+542868297264*n^18*((n-1)^n )^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12-239668134336*n^17*((n-1)^n)^4/(n-1)^18/(n ^n)^5*(n-4)^n/(n-4)^12+1031169332496*n^20*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/ (n-4)^12-956102994318*n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+ 66273603840*n^16*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12-518773400065/64* n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+121768107635/64*n^28*((n-1)^ n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+2070458816153/72*n^26*((n-1)^n)^4/(n-1)^ 18/(n^n)^5*(n-4)^n/(n-4)^12+834735766297/4*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n -4)^n/(n-4)^12-3815556846518/9*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^ 12-2039320941239/24*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12-\ 864808332444*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12-8622028800*n^15 *((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+452323/96*n^34*((n-1)^n)^4/(n-1) ^18/(n^n)^5*(n-4)^n/(n-4)^12-2288699/32*n^33*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4) ^n/(n-4)^12-133421/576*n^35*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-4)^n/(n-4)^12+1/ 2592*n^29*((n-1)^n)^5/(n-1)^24/(n^n)^5-41/2592*n^28*((n-1)^n)^5/(n-1)^24/(n^n)^ 5+97/324*n^27*((n-1)^n)^5/(n-1)^24/(n^n)^5-4493/1296*n^26*((n-1)^n)^5/(n-1)^24/ (n^n)^5+23707/864*n^25*((n-1)^n)^5/(n-1)^24/(n^n)^5-135655/864*n^24*((n-1)^n)^5 /(n-1)^24/(n^n)^5+868075/1296*n^23*((n-1)^n)^5/(n-1)^24/(n^n)^5-701165/324*n^22 *((n-1)^n)^5/(n-1)^24/(n^n)^5+431000/81*n^21*((n-1)^n)^5/(n-1)^24/(n^n)^5-\ 1605065/162*n^20*((n-1)^n)^5/(n-1)^24/(n^n)^5+371321/27*n^19*((n-1)^n)^5/(n-1)^ 24/(n^n)^5-124192/9*n^18*((n-1)^n)^5/(n-1)^24/(n^n)^5+28384/3*n^17*((n-1)^n)^5/ (n-1)^24/(n^n)^5-3968*n^16*((n-1)^n)^5/(n-1)^24/(n^n)^5+1/2592/(n^n)*n^21*(n-5) ^n/(n-5)^16+427/144/(n^n)*n^19*(n-5)^n/(n-5)^16-43/864/(n^n)*n^20*(n-5)^n/(n-5) ^16-7799/72/(n^n)*n^18*(n-5)^n/(n-5)^16+1173197/432/(n^n)*n^17*(n-5)^n/(n-5)^16 -7138411/144/(n^n)*n^16*(n-5)^n/(n-5)^16+220969229/324/(n^n)*n^15*(n-5)^n/(n-5) ^16-1560050089/216/(n^n)*n^14*(n-5)^n/(n-5)^16+17168408257/288/(n^n)*n^13*(n-5) ^n/(n-5)^16-111128444713/288/(n^n)*n^12*(n-5)^n/(n-5)^16+847048907263/432/(n^n) *n^11*(n-5)^n/(n-5)^16-140263145113/18/(n^n)*n^10*(n-5)^n/(n-5)^16-372730666964 /3/(n^n)*n^6*(n-5)^n/(n-5)^16+105156994640/(n^n)*n^5*(n-5)^n/(n-5)^16-\ 3047667843847/54/(n^n)*n^8*(n-5)^n/(n-5)^16+1944283364207/81/(n^n)*n^9*(n-5)^n/ (n-5)^16-53294539200/(n^n)*n^4*(n-5)^n/(n-5)^16+889850451833/9/(n^n)*n^7*(n-5)^ n/(n-5)^16+12108096000/(n^n)*n^3*(n-5)^n/(n-5)^16+1/72*n^21*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-2)^n/(n-2)^7-13/24*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2 )^7+343/36*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-1199/12*n^18*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+16691/24*n^17*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-2)^n/(n-2)^7-27063/8*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+ 106051/9*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-88768/3*n^14*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+477932/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-2)^n/(n-2)^7-199006/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+ 54648*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7-26592*n^10*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-2)^n/(n-2)^7+5760*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-2)^n/ (n-2)^7-1/36*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^10+1/576*n^38*((n-1)^n) ^4/(n-1)^18/(n^n)^5/(n-4)^12*(n-4)^n-11/64*n^37*((n-1)^n)^4/(n-1)^18/(n^n)^5/(n -4)^12*(n-4)^n+511/64*n^36*((n-1)^n)^4/(n-1)^18/(n^n)^5/(n-4)^12*(n-4)^n+ 1552242166675200000/(n^n)*n^3*(n-8)^n/(n-8)^21+18666001884726000000/(n^n)*n^5*( n-8)^n/(n-8)^21-7936949245987440000/(n^n)*n^4*(n-8)^n/(n-8)^21+398181407/24*n^ 17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-4941961453/48*n^16*(n-1)^n/(n-1)^5/ (n^n)^2*(n-5)^n/(n-5)^13+12084698483/24*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^13-3889581111/2*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+25754324266*n ^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-126564948163/9*n^12*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^13+10097118720*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5 )^13-35514732224*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13-1916006400*n^6*( n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^13+7/576*n^30*((n-1)^n)^4/(n-1)^16/(n^n)^5 *(n-2)^n/(n-2)^8-7/12*n^29*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+77/6*n^ 28*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-24731/144*n^27*((n-1)^n)^4/(n-1 )^16/(n^n)^5*(n-2)^n/(n-2)^8+50057/32*n^26*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n /(n-2)^8-493255/48*n^25*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+7245455/ 144*n^24*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-8977675/48*n^23*((n-1)^n) ^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+102195205/192*n^22*((n-1)^n)^4/(n-1)^16/(n^ n)^5*(n-2)^n/(n-2)^8-167002255/144*n^21*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n -2)^8+92104621/48*n^20*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-9468599/4*n ^19*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8+8427573/4*n^18*((n-1)^n)^4/(n-\ 1)^16/(n^n)^5*(n-2)^n/(n-2)^8-1276569*n^17*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n /(n-2)^8+470421*n^16*((n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-79380*n^15*(( n-1)^n)^4/(n-1)^16/(n^n)^5*(n-2)^n/(n-2)^8-619843/36*n^24*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^10+1162273/8*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n -3)^10-7/144*n^28*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+217/72*n^27*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-2051/24*n^26*((n-1)^n)^3/(n-1)^12/(n ^n)^4*(n-3)^n/(n-3)^10+105931/72*n^25*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3 )^10-65858485/72*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+315722225/ 72*n^21*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-776796335/48*n^20*((n-1)^ n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+1661377165/36*n^19*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^10-3649761773/36*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^ n/(n-3)^10+169807841*n^17*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-\ 212597959*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10+192320268*n^15*((n -1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-118512828*n^14*((n-1)^n)^3/(n-1)^12/ (n^n)^4*(n-3)^n/(n-3)^10+44419536*n^13*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-\ 3)^10-7620480*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-3)^n/(n-3)^10-189/32*n^25*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+658/3*n^24*((n-1)^n)^2/(n-1)^8/(n^n) ^3*(n-4)^n/(n-4)^12-118979/24*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12 +7/96*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+10251195913/4*n^16*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+13392570492*n^12*((n-1)^n)^2/(n-1)^8/( n^n)^3*(n-4)^n/(n-4)^12-8747486622*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-\ 4)^12+10521317331*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-\ 142495216703/24*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+3470289480*n^ 10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-40815971/48*n^21*((n-1)^n)^2/(n -1)^8/(n^n)^3*(n-4)^n/(n-4)^12+1221717/16*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4 )^n/(n-4)^12+21266350/3*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12+ 21404079235/96*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-82234408795/96 *n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-90369895/2*n^19*((n-1)^n)^2/ (n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-27921950427/2*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-4)^n/(n-4)^12-628689600*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-4)^n/(n-4)^12-\ 5929/24*n^22*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+87815/12*n^21*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-5)^n/(n-5)^14-1188537/8*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^14+52648855/24*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-219596923/9*n^ 18*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+2506808395/12*n^17*(n-1)^n/(n-1)^4/ (n^n)^2*(n-5)^n/(n-5)^14-66953811925/48*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^14+351089023285/48*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-\ 241418109569/8*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+293036146585/3*n^ 13*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+722571540600*n^9*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^14-514826135712*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^ 14+475679207815*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14-2214704960314/9*n ^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+222165175680*n^7*(n-1)^n/(n-1)^4/( n^n)^2*(n-5)^n/(n-5)^14-689529802514*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5) ^14-43589145600*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+10475/48/(n^n)*n^ 21*(n-6)^n/(n-6)^17-25/8/(n^n)*n^22*(n-6)^n/(n-6)^17+2258351/8/(n^n)*n^19*(n-6) ^n/(n-6)^17-75415/8/(n^n)*n^20*(n-6)^n/(n-6)^17+1/48/(n^n)*n^23*(n-6)^n/(n-6)^ 17-24897945/4/(n^n)*n^18*(n-6)^n/(n-6)^17+2514603875/24/(n^n)*n^17*(n-6)^n/(n-6 )^17-5510228615/4/(n^n)*n^16*(n-6)^n/(n-6)^17+689068603301/48/(n^n)*n^15*(n-6)^ n/(n-6)^17-957105541405/8/(n^n)*n^14*(n-6)^n/(n-6)^17+12815607813125/16/(n^n)*n ^13*(n-6)^n/(n-6)^17-34489755900795/8/(n^n)*n^12*(n-6)^n/(n-6)^17+ 55809768372661/3/(n^n)*n^11*(n-6)^n/(n-6)^17-63930789769865/(n^n)*n^10*(n-6)^n/ (n-6)^17-658858097466720/(n^n)*n^6*(n-6)^n/(n-6)^17+515368061481600/(n^n)*n^5*( n-6)^n/(n-6)^17-362643736444070/(n^n)*n^8*(n-6)^n/(n-6)^17+519105720568475/3/(n ^n)*n^9*(n-6)^n/(n-6)^17-243962990208000/(n^n)*n^4*(n-6)^n/(n-6)^17+ 573698886702792/(n^n)*n^7*(n-6)^n/(n-6)^17+52306974720000/(n^n)*n^3*(n-6)^n/(n-\ 6)^17+1/72/(n^n)*n^17*(n-4)^n/(n-4)^13-83/72/(n^n)*n^16*(n-4)^n/(n-4)^13+3113/ 72/(n^n)*n^15*(n-4)^n/(n-4)^13-69823/72/(n^n)*n^14*(n-4)^n/(n-4)^13+348205/24/( n^n)*n^13*(n-4)^n/(n-4)^13-3669523/24/(n^n)*n^12*(n-4)^n/(n-4)^13+84120179/72/( n^n)*n^11*(n-4)^n/(n-4)^13-472581109/72/(n^n)*n^10*(n-4)^n/(n-4)^13-272615694/( n^n)*n^6*(n-4)^n/(n-4)^13+270841296/(n^n)*n^5*(n-4)^n/(n-4)^13-742058746/9/(n^n )*n^8*(n-4)^n/(n-4)^13+489374743/18/(n^n)*n^9*(n-4)^n/(n-4)^13-157134240/(n^n)* n^4*(n-4)^n/(n-4)^13+539369792/3/(n^n)*n^7*(n-4)^n/(n-4)^13+39916800/(n^n)*n^3* (n-4)^n/(n-4)^13+65/24*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1/24*n^20* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-2903040*n^12*((n-1)^n)^3/(n-1)^13/(n^n )^4*(n-3)^n/(n-3)^9-1/24*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+19/8 *n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-1493/24*n^26*((n-1)^n)^3/(n-\ 1)^13/(n^n)^4*(n-3)^n/(n-3)^9+23861/24*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^ n/(n-3)^9-86837/8*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+2060887/24* n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-12223535/24*n^22*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+29742295/18*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*( n-4)^n/(n-4)^11-177109595/18*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+ 1640031635/36*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-1484581780/9*n^ 17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+4204112459/9*n^16*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-9258179896/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*( n-4)^n/(n-4)^11+1739883028*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-\ 2212236992*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+2041191696*n^12*(( n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-1286993664*n^11*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-4)^n/(n-4)^11+494588160*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-\ 4)^11-3835447/18*n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-87091200*n^9 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+7/72/(n^n)*n^13*(n-3)^n/(n-3)^10-\ 329/72/(n^n)*n^12*(n-3)^n/(n-3)^10+280/3/(n^n)*n^11*(n-3)^n/(n-3)^10-13055/12/( n^n)*n^10*(n-3)^n/(n-3)^10+191737/24/(n^n)*n^9*(n-3)^n/(n-3)^10-923699/24/(n^n) *n^8*(n-3)^n/(n-3)^10+4418155/36/(n^n)*n^7*(n-3)^n/(n-3)^10-4585105/18/(n^n)*n^ 6*(n-3)^n/(n-3)^10+327831/(n^n)*n^5*(n-3)^n/(n-3)^10-234892/(n^n)*n^4*(n-3)^n/( n-3)^10+70560/(n^n)*n^3*(n-3)^n/(n-3)^10-30889201/5184*n^38*((n-1)^n)^8/(n-1)^ 36/(n^n)^8+84554141/2592*n^37*((n-1)^n)^8/(n-1)^36/(n^n)^8-2997565543/20736*n^ 36*((n-1)^n)^8/(n-1)^36/(n^n)^8+113107337/216*n^35*((n-1)^n)^8/(n-1)^36/(n^n)^8 -2020486979/1296*n^34*((n-1)^n)^8/(n-1)^36/(n^n)^8+1238211653/324*n^33*((n-1)^n )^8/(n-1)^36/(n^n)^8-4989442829/648*n^32*((n-1)^n)^8/(n-1)^36/(n^n)^8+342399281 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(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+387241/8*n^28*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -4)^n/(n-4)^11+1/216*n^31*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-5)^15*(n-5)^n-16/27*n^ 30*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-5)^15*(n-5)^n+1032267821/108*n^25*((n-1)^n)^2 /(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-5846260/9*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -5)^n/(n-5)^15-5984426309/54*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+ 222365010821/216*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-209194578479 /27*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+1142124758125/24*n^21*((n -1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-8622645608213/36*n^20*((n-1)^n)^2/(n-\ 1)^9/(n^n)^3*(n-5)^n/(n-5)^15+53415149946421/54*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^ 3*(n-5)^n/(n-5)^15-90383263741183/27*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/( n-5)^15+249616182357166/27*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 558471694181780/27*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 45457927176192*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-31104*n^21*((n -1)^n)^7/(n-1)^31/(n^n)^7+41472*n^21*((n-1)^n)^7/(n-1)^32/(n^n)^7-41/24*n^35*(( n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+158371867/18*n^26*((n-1)^n)^5/(n-1)^ 24/(n^n)^6*(n-2)^n/(n-2)^6-863835811/54*n^25*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2) ^n/(n-2)^6+629079388/27*n^24*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+ 3495923287568/81*n^24*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-\ 6857558809516/81*n^23*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+ 3687980846648/27*n^22*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-\ 179124190832*n^21*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+563010115568/3* n^20*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-153178759552*n^19*((n-1)^n)^ 4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+93745479168*n^18*((n-1)^n)^4/(n-1)^19/(n^n) ^5*(n-4)^n/(n-4)^11-40418095104*n^17*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4) ^11+10932572160*n^16*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-203909392753 /108*n^27*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-1393459200*n^15*((n-1)^ n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+114421/72*n^34*((n-1)^n)^4/(n-1)^19/(n^n )^5*(n-4)^n/(n-4)^11-612437/27*n^33*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^ 11-27001/324*n^35*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+163169987/648*n ^32*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-180626507/81*n^31*((n-1)^n)^4 /(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+20776261421/1296*n^30*((n-1)^n)^4/(n-1)^19/( n^n)^5*(n-4)^n/(n-4)^11-139762203421723105/5184*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n -7)^n/(n-7)^19+110713532081227265/648*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7 )^19-195210865444212835/216*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+ 1289733035609359625/324*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-\ 1177378393506921830/81*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+ 1180141415050220495/27*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-\ 321624533735778830/3*n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+ 211656558494961500*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-\ 330159386965280796*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+ 396276503068724688*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-\ 351787079009177280*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+ 216716860843718400*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+24109105/72*n^ 26*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-10861345585/1296*n^25*(n-1)^n/(n-1) ^4/(n^n)^2*(n-7)^n/(n-7)^19-3395/864*n^29*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7) ^19+156175/648*n^28*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-53858735/5184*n^27 *(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-1/5184*n^31*(n-1)^n/(n-1)^4/(n^n)^2/( n-7)^19*(n-7)^n+13/324*n^30*(n-1)^n/(n-1)^4/(n^n)^2/(n-7)^19*(n-7)^n+ 1143281018880000/(n^n)*n^3*(n-7)^n/(n-7)^18+14559515925576408/(n^n)*n^7*(n-7)^n /(n-7)^18-15971387503474080/(n^n)*n^6*(n-7)^n/(n-7)^18+12004302162902400/(n^n)* n^5*(n-7)^n/(n-7)^18-5490322342272000/(n^n)*n^4*(n-7)^n/(n-7)^18+1/576/(n^n)*n^ 25*(n-7)^n/(n-7)^18-23/72/(n^n)*n^24*(n-7)^n/(n-7)^18-47235/32/(n^n)*n^22*(n-7) ^n/(n-7)^18+5305181/96/(n^n)*n^21*(n-7)^n/(n-7)^18-9210719/6/(n^n)*n^20*(n-7)^n /(n-7)^18+9456009929/288/(n^n)*n^19*(n-7)^n/(n-7)^18-79745548045/144/(n^n)*n^18 *(n-7)^n/(n-7)^18+4310848459861/576/(n^n)*n^17*(n-7)^n/(n-7)^18-163789818673/2/ (n^n)*n^16*(n-7)^n/(n-7)^18+140218422776411/192/(n^n)*n^15*(n-7)^n/(n-7)^18-\ 511166688327505/96/(n^n)*n^14*(n-7)^n/(n-7)^18+4572617718659479/144/(n^n)*n^13* (n-7)^n/(n-7)^18-11126905242813443/72/(n^n)*n^12*(n-7)^n/(n-7)^18+ 21982461930405253/36/(n^n)*n^11*(n-7)^n/(n-7)^18-3884757196431085/2/(n^n)*n^10* (n-7)^n/(n-7)^18+4912116982171161/(n^n)*n^9*(n-7)^n/(n-7)^18-9698296245245874/( n^n)*n^8*(n-7)^n/(n-7)^18-7/20736*n^44*((n-1)^n)^8/(n-1)^36/(n^n)^8+49/2592*n^ 43*((n-1)^n)^8/(n-1)^36/(n^n)^8-2597/5184*n^42*((n-1)^n)^8/(n-1)^36/(n^n)^8+ 7217/864*n^41*((n-1)^n)^8/(n-1)^36/(n^n)^8-1018997/10368*n^40*((n-1)^n)^8/(n-1) ^36/(n^n)^8+2248379/2592*n^39*((n-1)^n)^8/(n-1)^36/(n^n)^8-243745/1728*n^31*((n -1)^n)^2/(n-1)^10/(n^n)^3/(n-6)^16*(n-6)^n+15366769/3456*n^30*((n-1)^n)^2/(n-1) ^10/(n^n)^3/(n-6)^16*(n-6)^n-181281331/1728*n^29*((n-1)^n)^2/(n-1)^10/(n^n)^3/( n-6)^16*(n-6)^n-1/5184*n^40*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11+43/ 2592*n^39*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11-3463/5184*n^38*((n-1)^n )^5/(n-1)^21/(n^n)^6*(n-3)^n/(n-3)^11+1/72*n^30*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-\ 5)^14*(n-5)^n-19/12*n^29*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-5)^14*(n-5)^n+6053/72*n ^28*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-5)^14*(n-5)^n-2129715/2*n^25*((n-1)^n)^2/(n-\ 1)^9/(n^n)^3*(n-5)^n/(n-5)^14+495579641/36*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-\ 5)^n/(n-5)^14-419228137/3*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+ 81504356789/72*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-88749272131/12 *n^21*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+941394654707/24*n^20*((n-1)^ n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-169406918772*n^19*((n-1)^n)^2/(n-1)^9/(n^ n)^3*(n-5)^n/(n-5)^14+10724606415877/18*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^ n/(n-5)^14-5103672943348/3*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+ 35261918736550/9*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+ 9362934922752*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-5292692610048*n ^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+10389155958296*n^14*((n-1)^n)^ 2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-21601610623360/3*n^15*((n-1)^n)^2/(n-1)^9/(n ^n)^3*(n-5)^n/(n-5)^14+1847223429120*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/( n-5)^14-11483193060864*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-\ 298896998400*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14+2475335/3*n^22*(( n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+2921328*n^18*((n-1)^n)^4/(n-1)^17/(n ^n)^5*(n-2)^n/(n-2)^7-1731600*n^17*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7 +1/36*n^30*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+311/12*n^28*((n-1)^n)^4 /(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-5/4*n^29*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n /(n-2)^7-11825/36*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+34157/12*n^ 26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-214385/12*n^25*((n-1)^n)^4/(n-1 )^17/(n^n)^5*(n-2)^n/(n-2)^7+3020495/36*n^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2) ^n/(n-2)^7-1200875/4*n^23*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+8396548/ 3*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-15673375/9*n^21*((n-1)^n)^4 /(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+625536*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2 )^n/(n-2)^7-3362420*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7-103680*n^ 15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-2)^n/(n-2)^7+18487125/8*n^21*((n-1)^n)^3/(n-\ 1)^13/(n^n)^4*(n-3)^n/(n-3)^9-48646435/6*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3 )^n/(n-3)^9+132434395/6*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-\ 46473894*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+224642674/3*n^17*((n -1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9-90497112*n^16*((n-1)^n)^3/(n-1)^13/(n ^n)^4*(n-3)^n/(n-3)^9+79279224*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^ 9-47453184*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+17324928*n^13*((n-\ 1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^9+1/3456*n^34*((n-1)^n)^2/(n-1)^8/(n^n)^ 3/(n-6)^18*(n-6)^n-59/1152*n^33*((n-1)^n)^2/(n-1)^8/(n^n)^3/(n-6)^18*(n-6)^n+ 3683/864*n^32*((n-1)^n)^2/(n-1)^8/(n^n)^3/(n-6)^18*(n-6)^n-383527/1728*n^31*((n -1)^n)^2/(n-1)^8/(n^n)^3/(n-6)^18*(n-6)^n+14239/2*n^22*(n-1)^n/(n-1)^5/(n^n)^2* (n-5)^n/(n-5)^14-609733/4*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+9558757 /4*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-85305773/3*n^19*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-5)^n/(n-5)^14+1576282279/6*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n -5)^14-15294678035/8*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+88414895855/ 8*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-203776053611/4*n^15*(n-1)^n/(n-\ 1)^5/(n^n)^2*(n-5)^n/(n-5)^14+187189517411*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n /(n-5)^14-1637468205524/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-\ 2918667684096*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+1955545473024*n^8*(n -1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14-2221925686092*n^11*(n-1)^n/(n-1)^5/(n^n) ^2*(n-5)^n/(n-5)^14+3754266489026/3*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^ 14-799071298560*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+2983449214848*n^10 *(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+149448499200*n^6*(n-1)^n/(n-1)^5/(n^n )^2*(n-5)^n/(n-5)^14-9216*n^18*((n-1)^n)^6/(n-1)^28/(n^n)^6-7/144*n^24*(n-1)^n/ (n-1)^4/(n^n)^2*(n-5)^n/(n-5)^14+245/48*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n -5)^14+4398523481/27*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-\ 1678395542/9*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+494802904/3*n^19 *((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-108573504*n^18*((n-1)^n)^4/(n-1)^ 20/(n^n)^5*(n-3)^n/(n-3)^8+50021376*n^17*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/( n-3)^8-14372352*n^16*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+1935360*n^15* ((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+1/1728*n^35*((n-1)^n)^4/(n-1)^20/( n^n)^5*(n-3)^n/(n-3)^8-11/288*n^34*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8 +32/27*n^33*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+29/216*n^36*((n-1)^n)^ 5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-1/432*n^37*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2 )^n/(n-2)^7+3359/54*n^34*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-395/108*n ^35*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-159949/216*n^33*((n-1)^n)^5/(n -1)^23/(n^n)^6*(n-2)^n/(n-2)^7+708043/108*n^32*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-\ 2)^n/(n-2)^7-805745/18*n^31*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+ 6512588/27*n^30*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-449638141/432*n^29 *((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+783650125/216*n^28*((n-1)^n)^5/(n -1)^23/(n^n)^6*(n-2)^n/(n-2)^7-1107699709/108*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^6 *(n-2)^n/(n-2)^7+1269697021/54*n^26*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^ 7-1175135375/27*n^25*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-45185280*n^21 *((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+21060864*n^20*((n-1)^n)^5/(n-1)^ 23/(n^n)^6*(n-2)^n/(n-2)^7-75278164*n^23*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/( n-2)^7+580210714/9*n^24*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7-6110208*n^ 19*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n-2)^7+67693096*n^22*((n-1)^n)^5/(n-1) ^23/(n^n)^6*(n-2)^n/(n-2)^7+829440*n^18*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-2)^n/(n -2)^7+31844836039/12*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-\ 121959726485/18*n^20*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+125613008627 /9*n^19*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-68907572306/3*n^18*((n-1) ^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+29733268348*n^17*((n-1)^n)^3/(n-1)^14/( n^n)^4*(n-4)^n/(n-4)^11-29560550760*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/( n-4)^11+21747205152*n^15*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-\ 11132740224*n^14*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+3533621760*n^13* ((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-2186235047/48*n^24*((n-1)^n)^3/(n -1)^14/(n^n)^4*(n-4)^n/(n-4)^11-522547200*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-\ 4)^n/(n-4)^11+83/144*n^31*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-535/24* n^30*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11-1/144*n^32*((n-1)^n)^3/(n-1) ^14/(n^n)^4*(n-4)^n/(n-4)^11+2137/4*n^29*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/( n-4)^11-213623/24*n^28*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+2630677/24 *n^27*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-4)^n/(n-4)^11+1/432*n^25*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^10-65/432*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/ (n-3)^10+1939/432*n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+26213969/ 432*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-134017783/432*n^18*((n-1 )^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+264129073/216*n^17*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-3)^n/(n-3)^10-100660267/27*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3 )^n/(n-3)^10+236542400/27*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-\ 423798223/27*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+189089270/9*n^ 13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-20298232*n^12*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^10+13337056*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^ n/(n-3)^10+1/8*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-31/8*n^18*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+211/4*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*( n-2)^n/(n-2)^7-1661/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+16745/8* n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-56455/8*n^14*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-2)^n/(n-2)^7+16106*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2) ^7-24546*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7+23868*n^11*((n-1)^n)^ 2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-13338*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^ n/(n-2)^7+3240*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-2)^n/(n-2)^7-1/4*n^17*(n-1)^n /(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+43/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3 )^9+72123739/72*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-8949233/216*n^25* (n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+19913162419/72*n^22*(n-1)^n/(n-1)^5/(n ^n)^2*(n-6)^n/(n-6)^17-4040674163/216*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6 )^17+183563/144*n^26*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-1422103303381/432 *n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+4594714330673/144*n^20*(n-1)^n/( n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-109633252202191/432*n^19*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-6)^n/(n-6)^17+239602019099183/144*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-\ 6)^17-486605464998947/54*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+ 1450700853140477/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 4006698825151171/27*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+ 4028639579147273/9*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 29612243142308896/27*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-\ 3495570869368320*n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+2131403777049600* n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17-10021570555870784/3*n^11*(n-1)^n/( n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+19403730989885468/9*n^12*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-6)^n/(n-6)^17-407/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+4473/2*n^ 14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-63369/4*n^13*(n-1)^n/(n-1)^4/(n^n)^2 *(n-3)^n/(n-3)^9+303555/4*n^12*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-250682*n ^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+570596*n^10*(n-1)^n/(n-1)^4/(n^n)^2 *(n-3)^n/(n-3)^9-876200*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9+863268*n^8* (n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-490032*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3 )^n/(n-3)^9+120960*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^9-1/864*n^36*((n-1 )^n)^3/(n-1)^13/(n^n)^4/(n-5)^15*(n-5)^n+133/864*n^35*((n-1)^n)^3/(n-1)^13/(n^n )^4/(n-5)^15*(n-5)^n-2765/288*n^34*((n-1)^n)^3/(n-1)^13/(n^n)^4/(n-5)^15*(n-5)^ n-118146916951/288*n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 17551122443/432*n^29*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 2929007913353/864*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-\ 19981096027211/864*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 5962805404/3*n^27*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9-33964655378/9*n^ 26*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9+158844958540/27*n^25*((n-1)^n)^ 5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9-67006305056/9*n^24*((n-1)^n)^5/(n-1)^23/(n^n 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1296*n^36*((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+1040434136021/162*n^26* ((n-1)^n)^4/(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11-1477511296049/81*n^25*((n-1)^n)^4 /(n-1)^19/(n^n)^5*(n-4)^n/(n-4)^11+66288625/288*n^26*(n-1)^n/(n-1)^5/(n^n)^2*(n -7)^n/(n-7)^18+1404921287/144/(n^n)*n^10*(n-4)^n/(n-4)^12+1538071388/3/(n^n)*n^ 6*(n-4)^n/(n-4)^12-526798951/(n^n)*n^5*(n-4)^n/(n-4)^12+1271776429/9/(n^n)*n^8* (n-4)^n/(n-4)^12-6297418897/144/(n^n)*n^9*(n-4)^n/(n-4)^12+314024340/(n^n)*n^4* (n-4)^n/(n-4)^12-3479/144/(n^n)*n^15*(n-4)^n/(n-4)^12+49/144/(n^n)*n^16*(n-4)^n /(n-4)^12+110789/144/(n^n)*n^14*(n-4)^n/(n-4)^12+2898203/16/(n^n)*n^12*(n-4)^n/ (n-4)^12-75471319/48/(n^n)*n^11*(n-4)^n/(n-4)^12-2091859/144/(n^n)*n^13*(n-4)^n /(n-4)^12-2919122129/9/(n^n)*n^7*(n-4)^n/(n-4)^12-81496800/(n^n)*n^3*(n-4)^n/(n -4)^12+15853/576/(n^n)*n^23*(n-7)^n/(n-7)^18+62102617633885828/9*n^16*((n-1)^n) ^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17+10810707037808640*n^12*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-6)^n/(n-6)^17-5645430996019200*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6 )^n/(n-6)^17+43417244958078848/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6) ^17-100842434545306232/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17+ 1835829467136000*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17-\ 14487832565417984*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17-\ 278970531840000*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17+1/1296*n^34*(( n-1)^n)^2/(n-1)^9/(n^n)^3/(n-6)^17*(n-6)^n-41/324*n^33*((n-1)^n)^2/(n-1)^9/(n^n )^3/(n-6)^17*(n-6)^n+3163/324*n^32*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-6)^17*(n-6)^n -305449/648*n^31*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-6)^17*(n-6)^n+20723017/1296*n^ 30*((n-1)^n)^2/(n-1)^9/(n^n)^3/(n-6)^17*(n-6)^n-1624413*n^25*((n-1)^n)^7/(n-1)^ 31/(n^n)^7+1213362*n^24*((n-1)^n)^7/(n-1)^31/(n^n)^7-631800*n^23*((n-1)^n)^7/(n -1)^31/(n^n)^7+204768*n^22*((n-1)^n)^7/(n-1)^31/(n^n)^7+1/576*n^38*((n-1)^n)^7/ (n-1)^31/(n^n)^7-47/576*n^37*((n-1)^n)^7/(n-1)^31/(n^n)^7+115/64*n^36*((n-1)^n) ^7/(n-1)^31/(n^n)^7-14183/576*n^35*((n-1)^n)^7/(n-1)^31/(n^n)^7+135457/576*n^34 *((n-1)^n)^7/(n-1)^31/(n^n)^7-318955/192*n^33*((n-1)^n)^7/(n-1)^31/(n^n)^7+ 5176913/576*n^32*((n-1)^n)^7/(n-1)^31/(n^n)^7-21911629/576*n^31*((n-1)^n)^7/(n-\ 1)^31/(n^n)^7+4080805/32*n^30*((n-1)^n)^7/(n-1)^31/(n^n)^7-49036915/144*n^29*(( n-1)^n)^7/(n-1)^31/(n^n)^7+52153897/72*n^28*((n-1)^n)^7/(n-1)^31/(n^n)^7-\ 14645099/12*n^27*((n-1)^n)^7/(n-1)^31/(n^n)^7+3217515/2*n^26*((n-1)^n)^7/(n-1)^ 31/(n^n)^7+14481559572480000*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+ 25314973323264*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 156931376477008/3*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+ 333590016601928/9*n^15*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-\ 8720008335360*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+56709212591616* n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+1394852659200*n^9*((n-1)^n)^2 /(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-141887/108*n^28*((n-1)^n)^2/(n-1)^9/(n^n)^3*( n-5)^n/(n-5)^15+1222033/36*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15+ 7649/216*n^29*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^15-248169943/288/(n^n)* n^21*(n-7)^n/(n-7)^19+17856185657/864/(n^n)*n^20*(n-7)^n/(n-7)^19-339155284741/ 864/(n^n)*n^19*(n-7)^n/(n-7)^19+10371510111281/1728/(n^n)*n^18*(n-7)^n/(n-7)^19 -129077588515183/1728/(n^n)*n^17*(n-7)^n/(n-7)^19+438971052035963/576/(n^n)*n^ 16*(n-7)^n/(n-7)^19-3686483409406819/576/(n^n)*n^15*(n-7)^n/(n-7)^19+ 38281736671986743/864/(n^n)*n^14*(n-7)^n/(n-7)^19-109133547140156987/432/(n^n)* n^13*(n-7)^n/(n-7)^19+255376123474265923/216/(n^n)*n^12*(n-7)^n/(n-7)^19-\ 487592406213459337/108/(n^n)*n^11*(n-7)^n/(n-7)^19+83634620696532937/6/(n^n)*n^ 10*(n-7)^n/(n-7)^19-34342839635499311/(n^n)*n^9*(n-7)^n/(n-7)^19+ 66275714861749338/(n^n)*n^8*(n-7)^n/(n-7)^19-97534063363141944/(n^n)*n^7*(n-7)^ n/(n-7)^19-444609285120000*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18-\ 5318016*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10+967680*n^9*((n-1)^n) ^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^10-124131/32/(n^n)*n^19*(n-6)^n/(n-6)^16-469/ 288/(n^n)*n^21*(n-6)^n/(n-6)^16+7/576/(n^n)*n^22*(n-6)^n/(n-6)^16+19439/192/(n^ n)*n^20*(n-6)^n/(n-6)^16+71402857809493/36/(n^n)*n^10*(n-6)^n/(n-6)^16+ 22880805346770/(n^n)*n^6*(n-6)^n/(n-6)^16-18241004640600/(n^n)*n^5*(n-6)^n/(n-6 )^16+9850169/96/(n^n)*n^18*(n-6)^n/(n-6)^16+8435737877/288/(n^n)*n^16*(n-6)^n/( n-6)^16-95484263/48/(n^n)*n^17*(n-6)^n/(n-6)^16-48228897899/144/(n^n)*n^15*(n-6 )^n/(n-6)^16+578943585857/192/(n^n)*n^14*(n-6)^n/(n-6)^16-689396700993/32/(n^n) *n^13*(n-6)^n/(n-6)^16+23527171396547/192/(n^n)*n^12*(n-6)^n/(n-6)^16-\ 53210920133189/96/(n^n)*n^11*(n-6)^n/(n-6)^16+144042093511631/12/(n^n)*n^8*(n-6 )^n/(n-6)^16-200100860215277/36/(n^n)*n^9*(n-6)^n/(n-6)^16+8775294948000/(n^n)* n^4*(n-6)^n/(n-6)^16-38972109820399/2/(n^n)*n^7*(n-6)^n/(n-6)^16-1907025120000/ (n^n)*n^3*(n-6)^n/(n-6)^16-1/144*n^32*((n-1)^n)^6/(n-1)^26/(n^n)^6+19/72*n^31*( (n-1)^n)^6/(n-1)^26/(n^n)^6-667/144*n^30*((n-1)^n)^6/(n-1)^26/(n^n)^6+448/9*n^ 29*((n-1)^n)^6/(n-1)^26/(n^n)^6-52691/144*n^28*((n-1)^n)^6/(n-1)^26/(n^n)^6+ 140135/72*n^27*((n-1)^n)^6/(n-1)^26/(n^n)^6-1112485/144*n^26*((n-1)^n)^6/(n-1)^ 26/(n^n)^6+836915/36*n^25*((n-1)^n)^6/(n-1)^26/(n^n)^6-1918615/36*n^24*((n-1)^n )^6/(n-1)^26/(n^n)^6+92630*n^23*((n-1)^n)^6/(n-1)^26/(n^n)^6-120159*n^22*((n-1) ^n)^6/(n-1)^26/(n^n)^6+112812*n^21*((n-1)^n)^6/(n-1)^26/(n^n)^6-72468*n^20*((n-\ 1)^n)^6/(n-1)^26/(n^n)^6+28512*n^19*((n-1)^n)^6/(n-1)^26/(n^n)^6-589/6*n^20*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+42943/18*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-\ 4)^n/(n-4)^13-353102/9*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+2775097/6* n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-72715357/18*n^16*(n-1)^n/(n-1)^4/ (n^n)^2*(n-4)^n/(n-4)^13+479616709/18*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^13-1608375197/12*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+9279725741/18* n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+6294069768*n^9*(n-1)^n/(n-1)^4/(n ^n)^2*(n-4)^n/(n-4)^13-4901271552*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+ 3332542356*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-13593054670/9*n^12*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13+2284778880*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n -4)^n/(n-4)^13-5425318700*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-\ 479001600*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^13-1/36*n^22*(n-1)^n/(n-1)^ 4/(n^n)^2*(n-4)^n/(n-4)^13+4191586204885/32*n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*( n-5)^n/(n-5)^15-66751838121353/108*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n -5)^15+131361521922097/54*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-\ 7979425471318*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 587213047103677/27*n^21*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-\ 1322706403714420/27*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 813921900201056/9*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 102010609502208*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-\ 49221183568896*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 160716685772072*n^17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-\ 135163712780312*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+ 14823578327040*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-\ 148214971188480*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-\ 2092278988800*n^12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-4398481/432*n^ 32*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15+29778979/144*n^31*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-5)^n/(n-5)^15-1405040015/432*n^30*((n-1)^n)^3/(n-1)^13/(n^n )^4*(n-5)^n/(n-5)^15+322787/864*n^33*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-5)^n/(n-5) ^15+1/72*n^34*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-71/72*n^33*((n-1)^n )^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+1171/36*n^32*((n-1)^n)^4/(n-1)^17/(n^n)^5 *(n-3)^n/(n-3)^10-43220462/9*n^27*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10 +1705733173/72*n^26*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-3977/6*n^31*( (n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+336893/36*n^30*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-3)^n/(n-3)^10-3502787/36*n^29*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^ n/(n-3)^10+13912627/18*n^28*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-\ 749170995/8*n^25*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+10725243283/36*n ^24*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-13734154079/18*n^23*((n-1)^n) ^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+14102723219/9*n^22*((n-1)^n)^4/(n-1)^17/(n ^n)^5*(n-3)^n/(n-3)^10-7674754526/3*n^21*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/( n-3)^10+3272094388*n^20*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-\ 3203917992*n^19*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10+2315547504*n^18*( (n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-1162228608*n^17*((n-1)^n)^4/(n-1)^ 17/(n^n)^5*(n-3)^n/(n-3)^10+361200384*n^16*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n /(n-3)^10-52254720*n^15*((n-1)^n)^4/(n-1)^17/(n^n)^5*(n-3)^n/(n-3)^10-869615/24 *n^28*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+5731565/12*n^27*((n-1)^n)^3 /(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-115515751/24*n^26*((n-1)^n)^3/(n-1)^13/(n^n) ^4*(n-4)^n/(n-4)^12+48595/24*n^29*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12 +556336842455/6*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+165919325400 *n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-87378689088*n^14*((n-1)^n)^ 3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+212793597870*n^17*((n-1)^n)^3/(n-1)^13/(n^n )^4*(n-4)^n/(n-4)^12-158597375635*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-\ 4)^12+28466536320*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-\ 11442377669/48*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+455743625/12* n^25*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+28856093405/24*n^23*((n-1)^n )^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+388287979595/24*n^21*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-4)^n/(n-4)^12-172741027689/4*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4 )^n/(n-4)^12-235250080031/48*n^22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12 -218705116284*n^16*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12-4311014400*n^ 12*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+15/8*n^31*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-4)^n/(n-4)^12-3763/48*n^30*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-\ 4)^12-1/48*n^32*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-4)^n/(n-4)^12+1/1296*n^42*((n-1 )^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7-7/144*n^41*((n-1)^n)^6/(n-1)^27/(n^n)^7 *(n-2)^n/(n-2)^7-2296447/648*n^37*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7-\ 2195/81*n^39*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7+469/324*n^40*((n-1)^n )^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7+231869/648*n^38*((n-1)^n)^6/(n-1)^27/(n^n) ^7*(n-2)^n/(n-2)^7+658758644/3*n^28*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^ 7+127508736*n^24*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7-52581888*n^23*((n -1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7+2213633/81*n^36*((n-1)^n)^6/(n-1)^27/ (n^n)^7*(n-2)^n/(n-2)^7+1086672461/1296*n^34*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2) ^n/(n-2)^7-13617740/81*n^35*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7-\ 4440699403/1296*n^33*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7+3741282233/ 324*n^32*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7-5214421481/162*n^31*((n-1 )^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7+2003642497/27*n^30*((n-1)^n)^6/(n-1)^27 /(n^n)^7*(n-2)^n/(n-2)^7-11425400080/81*n^29*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2) ^n/(n-2)^7+835319744/3*n^26*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7-\ 2492673176/9*n^27*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7+13602816*n^22*(( n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2)^7-217715280*n^25*((n-1)^n)^6/(n-1)^27/ (n^n)^7*(n-2)^n/(n-2)^7-1658880*n^21*((n-1)^n)^6/(n-1)^27/(n^n)^7*(n-2)^n/(n-2) ^7-1/864*n^40*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9+25/288*n^39*((n-1)^n )^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9-221/72*n^38*((n-1)^n)^5/(n-1)^23/(n^n)^6*( n-3)^n/(n-3)^9+3677/54*n^37*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9-51061/ 48*n^36*((n-1)^n)^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9+1793065/144*n^35*((n-1)^n) ^5/(n-1)^23/(n^n)^6*(n-3)^n/(n-3)^9+29/144*n^32*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -4)^n/(n-4)^11-1771/216*n^31*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-1/ 432*n^33*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+35485781/9*n^26*((n-1)^n )^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-10986185333/432*n^25*((n-1)^n)^3/(n-1)^15 /(n^n)^4*(n-4)^n/(n-4)^11-53062027/108*n^27*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^ n/(n-4)^11-41124540121/72*n^23*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+ 8034740189/4*n^22*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-313028742719/54 *n^21*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+123177487199/9*n^20*((n-1)^ n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-709174751426/27*n^19*((n-1)^n)^3/(n-1)^ 15/(n^n)^4*(n-4)^n/(n-4)^11+364830094268/9*n^18*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n -4)^n/(n-4)^11-148493624152/3*n^17*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^ 11+46663136064*n^16*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-32707186944*n ^15*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+16021527552*n^14*((n-1)^n)^3/ (n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11-4885678080*n^13*((n-1)^n)^3/(n-1)^15/(n^n)^4* (n-4)^n/(n-4)^11+19190253833/144*n^24*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4 )^11+696729600*n^12*((n-1)^n)^3/(n-1)^15/(n^n)^4*(n-4)^n/(n-4)^11+ 48252997028363/18*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-\ 51463126704070/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-\ 10686108075264*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+5754498467328 *n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14-13259954223512*n^14*((n-1)^ n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+29393477592082/3*n^15*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-5)^n/(n-5)^14-1921947678720*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 5)^n/(n-5)^14+13823926791552*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14 +298896998400*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^14+1/16*n^22*((n-1 )^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-3*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3) ^n/(n-3)^9+1035/16*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-6637/8*n^19 *((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-39605/2*n^25*((n-1)^n)^3/(n-1)^13/ (n^n)^4*(n-3)^n/(n-3)^10+2202743/12*n^24*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/( n-3)^10-15385759/12*n^23*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-1/24*n^ 29*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+11/4*n^28*((n-1)^n)^3/(n-1)^13 /(n^n)^4*(n-3)^n/(n-3)^10-1003/12*n^27*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-\ 3)^10+18649/12*n^26*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+27578865/4*n^ 22*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-693738115/24*n^21*((n-1)^n)^3/ (n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+285126155/3*n^20*((n-1)^n)^3/(n-1)^13/(n^n)^4 *(n-3)^n/(n-3)^10-490250973/2*n^19*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^ 10+1479437812/3*n^18*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-764425134*n^ 17*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+893753232*n^16*((n-1)^n)^3/(n-\ 1)^13/(n^n)^4*(n-3)^n/(n-3)^10-760966200*n^15*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3 )^n/(n-3)^10+444403584*n^14*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-\ 158827392*n^13*((n-1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10+26127360*n^12*((n-\ 1)^n)^3/(n-1)^13/(n^n)^4*(n-3)^n/(n-3)^10-17761429/9*n^28*((n-1)^n)^4/(n-1)^18/ (n^n)^5*(n-3)^n/(n-3)^10+3088787957/288*n^27*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3) ^n/(n-3)^10-13565471647/288*n^26*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+ 1313/144*n^33*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-14273/72*n^32*((n-1 )^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+1/288*n^35*((n-1)^n)^4/(n-1)^18/(n^n)^ 5*(n-3)^n/(n-3)^10-25/96*n^34*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+ 432341/144*n^31*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-4850359/144*n^30* ((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+20918201/72*n^29*((n-1)^n)^4/(n-1 )^18/(n^n)^5*(n-3)^n/(n-3)^10+24210321193/144*n^25*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-3)^n/(n-3)^10-35184640645/72*n^24*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3 )^10+13857010459/12*n^23*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-\ 39717578227/18*n^22*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+10128825317/3 *n^21*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-4073073886*n^20*((n-1)^n)^4 /(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+3782804868*n^19*((n-1)^n)^4/(n-1)^18/(n^n)^5 *(n-3)^n/(n-3)^10-2606104656*n^18*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10 +1252528704*n^17*((n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10-374264064*n^16*( (n-1)^n)^4/(n-1)^18/(n^n)^5*(n-3)^n/(n-3)^10+52254720*n^15*((n-1)^n)^4/(n-1)^18 /(n^n)^5*(n-3)^n/(n-3)^10+1/9*n^20*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-\ 35/9*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+182/3*n^18*((n-1)^n)^2/(n -1)^9/(n^n)^3*(n-2)^n/(n-2)^7-1670/3*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/( n-2)^7+3337*n^16*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-13715*n^15*((n-1)^ n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+354668/9*n^14*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-2)^n/(n-2)^7-711760/9*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+ 325472/3*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7-96720*n^11*((n-1)^n)^ 2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+50304*n^10*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^ n/(n-2)^7-11520*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-2)^n/(n-2)^7+190477/12*n^18* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-3059/4*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n -4)^n/(n-4)^12-664426/3*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-192392431 /12*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+1048607791/12*n^14*(n-1)^n/(n -1)^4/(n^n)^2*(n-4)^n/(n-4)^12+8794863/4*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/( n-4)^12+4316856586*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12+419126400*n^6* (n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-7/24*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4 )^n/(n-4)^12+133/6*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^12-\ 82374236658432000*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-317513132/9*n^15 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+622286672/9*n^14*((n-1)^n)^2/(n-1 )^9/(n^n)^3*(n-3)^n/(n-3)^10-300413032/3*n^13*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3) ^n/(n-3)^10+103687344*n^12*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-\ 72408192*n^11*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10+30456576*n^10*((n-1) ^n)^2/(n-1)^9/(n^n)^3*(n-3)^n/(n-3)^10-5806080*n^9*((n-1)^n)^2/(n-1)^9/(n^n)^3* (n-3)^n/(n-3)^10-1/5184*n^31*(n-1)^n/(n-1)^5/(n^n)^2/(n-7)^18*(n-7)^n+193/5184* n^30*(n-1)^n/(n-1)^5/(n^n)^2/(n-7)^18*(n-7)^n-5845/1728*n^29*(n-1)^n/(n-1)^5/(n ^n)^2/(n-7)^18*(n-7)^n+105153554909636640/(n^n)*n^6*(n-7)^n/(n-7)^19-\ 77857354479139200/(n^n)*n^5*(n-7)^n/(n-7)^19-1151437/1728/(n^n)*n^23*(n-7)^n/(n -7)^19+999697/36/(n^n)*n^22*(n-7)^n/(n-7)^19+1/1728/(n^n)*n^26*(n-7)^n/(n-7)^19 -203/1728/(n^n)*n^25*(n-7)^n/(n-7)^19+19349/1728/(n^n)*n^24*(n-7)^n/(n-7)^19-\ 7240779786240000/(n^n)*n^3*(n-7)^n/(n-7)^19+169/6*n^34*((n-1)^n)^5/(n-1)^24/(n^ n)^6*(n-2)^n/(n-2)^6-46895/144*n^33*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^ 6+100981/36*n^32*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-2015663/108*n^31* ((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+5300069/54*n^30*((n-1)^n)^5/(n-1)^ 24/(n^n)^6*(n-2)^n/(n-2)^6-39737461/96*n^29*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^ n/(n-2)^6+4236215/3*n^28*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-281651693 /72*n^27*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+7/108*n^36*((n-1)^n)^5/(n -1)^24/(n^n)^6*(n-2)^n/(n-2)^6-1/864*n^37*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/ (n-2)^6+7186176*n^20*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-2059776*n^19* ((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6+23726616*n^22*((n-1)^n)^5/(n-1)^24 /(n^n)^6*(n-2)^n/(n-2)^6-15619136*n^21*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-\ 2)^6+276480*n^18*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-80338130/3*n^23*( (n-1)^n)^5/(n-1)^24/(n^n)^6*(n-2)^n/(n-2)^6-3311/144*n^32*((n-1)^n)^4/(n-1)^20/ (n^n)^5*(n-3)^n/(n-3)^8+90089/288*n^31*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-\ 3)^8-25379/8*n^30*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+10750831/432*n^ 29*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-22267411/144*n^28*((n-1)^n)^4/( n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+1335687473/1728*n^27*((n-1)^n)^4/(n-1)^20/(n^n) ^5*(n-3)^n/(n-3)^8-903982801/288*n^26*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3 )^8+1499106593/144*n^25*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-225985801/ 8*n^24*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8+6759942013/108*n^23*((n-1)^ n)^4/(n-1)^20/(n^n)^5*(n-3)^n/(n-3)^8-2027175587/18*n^22*((n-1)^n)^4/(n-1)^20/( n^n)^5*(n-3)^n/(n-3)^8+1/36*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11-\ 37/18*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+1259/18*n^24*((n-1)^n)^ 2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+185899/9*n^22*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n -4)^n/(n-4)^11-26161/18*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^11+ 296406190080000*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+7/24/(n^n)*n^12*(n -3)^n/(n-3)^9-133/12/(n^n)*n^11*(n-3)^n/(n-3)^9+721/4/(n^n)*n^10*(n-3)^n/(n-3)^ 9-3283/2/(n^n)*n^9*(n-3)^n/(n-3)^9+73549/8/(n^n)*n^8*(n-3)^n/(n-3)^9-130879/4/( n^n)*n^7*(n-3)^n/(n-3)^9+442211/6/(n^n)*n^6*(n-3)^n/(n-3)^9-302603/3/(n^n)*n^5* (n-3)^n/(n-3)^9+75684/(n^n)*n^4*(n-3)^n/(n-3)^9-23520/(n^n)*n^3*(n-3)^n/(n-3)^9 -7/72*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+70/9*n^21*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^12-10241/36*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 52053905/3*n^21*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+327020135/6*n^20*( (n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-404290472/3*n^19*((n-1)^n)^3/(n-1)^ 14/(n^n)^4*(n-3)^n/(n-3)^9+782329402/3*n^18*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^ n/(n-3)^9-1170062032/3*n^17*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+ 441267672*n^16*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9-364570080*n^15*((n-\ 1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+207137664*n^14*((n-1)^n)^3/(n-1)^14/(n ^n)^4*(n-3)^n/(n-3)^9-72202752*n^13*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^ 9+11612160*n^12*((n-1)^n)^3/(n-1)^14/(n^n)^4*(n-3)^n/(n-3)^9+1/48*n^27*((n-1)^n )^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-13/8*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -4)^n/(n-4)^11+469/8*n^25*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+79407/4 *n^23*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-1774213/8*n^22*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-10399/8*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 4)^n/(n-4)^11-98692925/8*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+ 1018969465/16*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-1041537805/4*n ^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+3380813193/4*n^17*((n-1)^n)^2 /(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-2172885811*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-4)^n/(n-4)^11+13172916709/3*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4) ^11-6878826828*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+8167604748*n^ 13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11-7088820336*n^12*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-4)^n/(n-4)^11+4231922112*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n -4)^n/(n-4)^11-1549082880*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+ 45084083/24*n^21*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+261273600*n^9*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-4)^n/(n-4)^11+844915/144*n^27*((n-1)^n)^2/(n-1)^8 /(n^n)^3*(n-5)^n/(n-5)^16+1665120041/864*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5) ^n/(n-5)^16-34956215/288*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 20792389769/864*n^24*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+415091471209/ 1728*n^23*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-372073989479/192*n^22*(( n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+7329269539787/576*n^21*((n-1)^n)^2/( n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-39323827172903/576*n^20*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-5)^n/(n-5)^16+258906389225009/864*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5 )^n/(n-5)^16-464180998228663/432*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5) ^16+677003142017585/216*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 88594547859385/12*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-\ 19312749888552*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+11146985566560 *n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-20498986429411*n^14*((n-1)^n )^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+83306611573799/6*n^15*((n-1)^n)^2/(n-1)^8/ (n^n)^3*(n-5)^n/(n-5)^16-3967633756800*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n /(n-5)^16+23174816154438*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+ 653837184000*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16+43/216*n^28*(n-1) ^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-1/864*n^29*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/ (n-6)^18+26630113/36*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-24473411/864 *n^25*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18+25666997579/108*n^22*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-6)^n/(n-6)^18-1610184857/108*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-6) ^n/(n-6)^18+174173/216*n^26*(n-1)^n/(n-1)^4/(n^n)^2*(n-6)^n/(n-6)^18-8407/36*n^ 16*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+3164*n^15*(n-1)^n/(n-1)^4/(n^n)^2*( n-3)^n/(n-3)^10-111909/4*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+509761/3 *n^13*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-26143061/36*n^12*(n-1)^n/(n-1)^4 /(n^n)^2*(n-3)^n/(n-3)^10+19787138/9*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3) ^10-42080948/9*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+20414492/3*n^9*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-6424012*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-3) ^n/(n-3)^10+3524304*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-846720*n^6*(n-\ 1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10-7/36*n^18*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n /(n-3)^10+91/9*n^17*(n-1)^n/(n-1)^4/(n^n)^2*(n-3)^n/(n-3)^10+30520911575/36*n^ 13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+8259731340*n^9*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^12-6154651104*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+ 43625407910/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-20971036807/9*n^12* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+2758714560*n^7*(n-1)^n/(n-1)^5/(n^n)^2 *(n-4)^n/(n-4)^12-854903/9*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+227185 /36*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12+37015405/36*n^17*(n-1)^n/(n-1 )^5/(n^n)^2*(n-4)^n/(n-4)^12+1818177515/36*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n /(n-4)^12-16998154481/72*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-\ 297930787/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-22430993662/3*n^10*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^12-558835200*n^6*(n-1)^n/(n-1)^5/(n^n)^2*( n-4)^n/(n-4)^12-13031/48*n^27*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+ 551507/96*n^26*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-2879733/32*n^25*(( n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+1743568063688/9*n^16*((n-1)^n)^2/(n -1)^10/(n^n)^3*(n-5)^n/(n-5)^13+394411183488*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3* (n-5)^n/(n-5)^13-215708652288*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^ 13+38998795/36*n^24*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+44863538213/ 576*n^22*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-123215897/12*n^23*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-91762354391/192*n^21*((n-1)^n)^2/(n-1)^ 10/(n^n)^3*(n-5)^n/(n-5)^13+14327444521/6*n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 5)^n/(n-5)^13-155927312385/16*n^19*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^ 13+13528227250/81*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-1553037465175/ 576*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19+5781406327765/162*n^22*(n-1)^ n/(n-1)^4/(n^n)^2*(n-7)^n/(n-7)^19-1012265079675745/2592*n^21*(n-1)^n/(n-1)^4/( n^n)^2*(n-7)^n/(n-7)^19+767436730827125/216*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-7)^ n/(n-7)^19-92800255656518927/10368/(n^n)*n^18*(n-8)^n/(n-8)^21+ 1805308341098765683/20736/(n^n)*n^17*(n-8)^n/(n-8)^21-7392804870950291663/10368 /(n^n)*n^16*(n-8)^n/(n-8)^21+101973289724319884707/20736/(n^n)*n^15*(n-8)^n/(n-\ 8)^21-295649270304826031867/10368/(n^n)*n^14*(n-8)^n/(n-8)^21+ 718283158148568069427/5184/(n^n)*n^13*(n-8)^n/(n-8)^21-1454646167268106228487/ 2592/(n^n)*n^12*(n-8)^n/(n-8)^21+812387582564132112799/432/(n^n)*n^11*(n-8)^n/( n-8)^21-123821470361223839891/24/(n^n)*n^10*(n-8)^n/(n-8)^21+ 45702209023117893973/4/(n^n)*n^9*(n-8)^n/(n-8)^21-40060178108392182417/2/(n^n)* n^8*(n-8)^n/(n-8)^21+27042029493840091980/(n^n)*n^7*(n-8)^n/(n-8)^21-\ 26993205935252928000/(n^n)*n^6*(n-8)^n/(n-8)^21+1/20736/(n^n)*n^29*(n-8)^n/(n-8 )^21-125/10368/(n^n)*n^28*(n-8)^n/(n-8)^21+29557/20736/(n^n)*n^27*(n-8)^n/(n-8) ^21-1099397/10368/(n^n)*n^26*(n-8)^n/(n-8)^21+115527193/20736/(n^n)*n^25*(n-8)^ n/(n-8)^21-2280886493/10368/(n^n)*n^24*(n-8)^n/(n-8)^21+140644988137/20736/(n^n )*n^23*(n-8)^n/(n-8)^21-1736316212897/10368/(n^n)*n^22*(n-8)^n/(n-8)^21+ 69879952073383/20736/(n^n)*n^21*(n-8)^n/(n-8)^21-580163936938043/10368/(n^n)*n^ 20*(n-8)^n/(n-8)^21+16037195263785967/20736/(n^n)*n^19*(n-8)^n/(n-8)^21-\ 801677011968000*n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+3975706595393792*n ^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^17+139485265920000*n^6*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-6)^n/(n-6)^17-1/432*n^29*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^17*(n-6)^n+ 53/144*n^28*(n-1)^n/(n-1)^5/(n^n)^2/(n-6)^17*(n-6)^n-11851/432*n^27*(n-1)^n/(n-\ 1)^5/(n^n)^2/(n-6)^17*(n-6)^n-165848114779/108*n^28*((n-1)^n)^5/(n-1)^22/(n^n)^ 6*(n-3)^n/(n-3)^10+196422117637/54*n^27*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n -3)^10-192036968584/27*n^26*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^10+ 102580926470/9*n^25*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^10-14801941644*n ^24*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^10+15319524104*n^23*((n-1)^n)^5/ (n-1)^22/(n^n)^6*(n-3)^n/(n-3)^10-12326627064*n^22*((n-1)^n)^5/(n-1)^22/(n^n)^6 *(n-3)^n/(n-3)^10+7424511840*n^21*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^10 -3146249088*n^20*((n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^10+835619328*n^19*( (n-1)^n)^5/(n-1)^22/(n^n)^6*(n-3)^n/(n-3)^10-104509440*n^18*((n-1)^n)^5/(n-1)^ 22/(n^n)^6*(n-3)^n/(n-3)^10-8293/3*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-\ 5)^14+757625/12*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-5)^n/(n-5)^14-1/18*n^15*(n-\ 1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+5/3*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/( n-2)^7-65/3*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+160*n^12*(n-1)^n/(n-1) ^5/(n^n)^2*(n-2)^n/(n-2)^7-1477/2*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+ 2205*n^10*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-38230/9*n^9*(n-1)^n/(n-1)^5/( n^n)^2*(n-2)^n/(n-2)^7+15220/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7-3392 *n^7*(n-1)^n/(n-1)^5/(n^n)^2*(n-2)^n/(n-2)^7+960*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n -2)^n/(n-2)^7-5443200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+33445/24*n^ 17*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-130483/8*n^16*(n-1)^n/(n-1)^4/(n^n) ^2*(n-4)^n/(n-4)^11+1077505/8*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-\ 19411601/24*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+86074615/24*n^13*(n-1 )^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-141539057/12*n^12*(n-1)^n/(n-1)^4/(n^n)^2* (n-4)^n/(n-4)^11+85850710/3*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-\ 50390708*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+62396010*n^9*(n-1)^n/(n-\ 1)^4/(n^n)^2*(n-4)^n/(n-4)^11-51296364*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4 )^11+25014960*n^7*(n-1)^n/(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11-1907/24*n^18*(n-1)^n /(n-1)^4/(n^n)^2*(n-4)^n/(n-4)^11+70707371/144*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^ 3*(n-3)^n/(n-3)^9-150879071/72*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^ 9+61373984/9*n^16*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-152256013/9*n^15 *((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+285492683/9*n^14*((n-1)^n)^2/(n-1 )^10/(n^n)^3*(n-3)^n/(n-3)^9-397153414/9*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3 )^n/(n-3)^9+132164648/3*n^12*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-\ 29768928*n^11*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9+12157824*n^10*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-3)^n/(n-3)^9-2257920*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3 *(n-3)^n/(n-3)^9+1937632135/576*n^32*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2) ^6-2651760893/288*n^31*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6-1172340763/ 1152*n^33*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6-13423104*n^23*((n-1)^n)^ 6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+3435264*n^22*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n -2)^n/(n-2)^6-56910388*n^25*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+ 32926368*n^24*((n-1)^n)^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6-414720*n^21*((n-1)^n )^6/(n-1)^28/(n^n)^7*(n-2)^n/(n-2)^6+73732119*n^26*((n-1)^n)^6/(n-1)^28/(n^n)^7 *(n-2)^n/(n-2)^6+787/81*n^37*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8-41749 /288*n^36*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8+1403821/864*n^35*((n-1)^ n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8-9206981/648*n^34*((n-1)^n)^5/(n-1)^24/(n^ n)^6*(n-3)^n/(n-3)^8+8048699/81*n^33*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3) ^8-2929752077/5184*n^32*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8-1/5184*n^ 40*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8+71/5184*n^39*((n-1)^n)^5/(n-1)^ 24/(n^n)^6*(n-3)^n/(n-3)^8-149/324*n^38*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n -3)^8+13705587763/5184*n^31*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8-\ 1106726833/108*n^30*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8+7137612893/216 *n^29*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8-28759963249/324*n^28*((n-1)^ n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8+16066903367/81*n^27*((n-1)^n)^5/(n-1)^24/ (n^n)^6*(n-3)^n/(n-3)^8+31970304*n^19*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3 )^8-3870720*n^18*((n-1)^n)^5/(n-1)^24/(n^n)^6*(n-3)^n/(n-3)^8-1937682*n^11*((n-\ 1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+886248*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3 *(n-3)^n/(n-3)^9-181440*n^9*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+2900717 /16*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-4558677/8*n^15*((n-1)^n)^2 /(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+1308318*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3) ^n/(n-3)^9-2166961*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+2515893*n^ 12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-1/24*n^24*((n-1)^n)^3/(n-1)^12/( n^n)^4*(n-2)^n/(n-2)^7+3/2*n^23*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-\ 583/24*n^22*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+2809/12*n^21*((n-1)^n) ^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-35887/24*n^20*((n-1)^n)^3/(n-1)^12/(n^n)^4* (n-2)^n/(n-2)^7+20014/3*n^19*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-\ 170531/8*n^18*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+589669/12*n^17*((n-1 )^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-81078*n^16*((n-1)^n)^3/(n-1)^12/(n^n)^4 *(n-2)^n/(n-2)^7+93318*n^15*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7-71046* n^14*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2)^7+32076*n^13*((n-1)^n)^3/(n-1)^ 12/(n^n)^4*(n-2)^n/(n-2)^7-6480*n^12*((n-1)^n)^3/(n-1)^12/(n^n)^4*(n-2)^n/(n-2) ^7+112983/16*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9-168519/4*n^17*((n -1)^n)^2/(n-1)^8/(n^n)^3*(n-3)^n/(n-3)^9+22/9*n^21*(n-1)^n/(n-1)^4/(n^n)^2*(n-4 )^n/(n-4)^13+1/12*n^27*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-85/12*n^26* ((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12+833/3*n^25*((n-1)^n)^2/(n-1)^9/(n^ n)^3*(n-4)^n/(n-4)^12-20005/3*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12 +659569/6*n^23*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-4)^n/(n-4)^12-1/24*n^25*(n-1)^n/( n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+109/24*n^24*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-\ 5)^14-917/4*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-5)^n/(n-5)^14+16997167789682221/864 *n^20*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16-28570938442600279/432*n^19* ((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16+40104789048942067/216*n^18*((n-1) ^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16-46719707722239397/108*n^17*((n-1)^n)^2/ (n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16+1599960676559572*n^14*((n-1)^n)^2/(n-1)^10/(n ^n)^3*(n-6)^n/(n-6)^16-3868925131390873/3*n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-\ 6)^n/(n-6)^16+177012791424000*n^10*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^ 16-1542188866118016*n^13*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16-\ 26153487360000*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-6)^n/(n-6)^16-227374386107/ 3456*n^27*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10+1117165193473/5184*n^26 *((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10-1530933168817/2592*n^25*((n-1)^n )^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10+1751302627679/1296*n^24*((n-1)^n)^4/(n-1) ^20/(n^n)^5*(n-4)^n/(n-4)^10-1664112841499/648*n^23*((n-1)^n)^4/(n-1)^20/(n^n)^ 5*(n-4)^n/(n-4)^10+434326745669/108*n^22*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/( n-4)^10-10255586631/2*n^21*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10+ 15697475882/3*n^20*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10-4166262496*n^ 19*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10+2491157376*n^18*((n-1)^n)^4/(n 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(n^n)^5*(n-4)^n/(n-4)^10+3491/20736*n^36*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/( n-4)^10+113854199/10368*n^32*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10-\ 479575007/5184*n^31*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10+13153357589/ 20736*n^30*((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10-37146531443/10368*n^29 *((n-1)^n)^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10+116157967909/6912*n^28*((n-1)^n) ^4/(n-1)^20/(n^n)^5*(n-4)^n/(n-4)^10-5699543983/72*n^27*((n-1)^n)^2/(n-1)^8/(n^ n)^3*(n-6)^n/(n-6)^18+8111966441/1728*n^28*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/ (n-6)^18-41823816980879/3456*n^25*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+ 3735870723887/3456*n^26*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18-765669919/ 3456*n^29*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+1038521/128*n^30*((n-1)^ n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+16132807754633/144*n^24*((n-1)^n)^2/(n-1) ^8/(n^n)^3*(n-6)^n/(n-6)^18-1490699805259787/1728*n^23*((n-1)^n)^2/(n-1)^8/(n^n )^3*(n-6)^n/(n-6)^18+19163587074044677/3456*n^22*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n -6)^n/(n-6)^18-11443396302224681/384*n^21*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/( n-6)^18+231348467957499781/1728*n^20*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^ 18-433545083415206171/864*n^19*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+ 225030386869883863/144*n^18*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18-\ 868000106153773909/216*n^17*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+ 33820699868321433/4*n^16*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+ 15643998230479920*n^12*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18-\ 8459301067617600*n^11*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+ 19375523842409951*n^14*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18-\ 86222534370412729/6*n^15*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18+ 2840854379328000*n^10*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18-\ 20192487378309492*n^13*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-6)^n/(n-6)^18-2055287651/ 144*n^22*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-640865/16*n^24*(n-1)^n/(n-1)^ 5/(n^n)^2*(n-6)^n/(n-6)^16+397681/288*n^25*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6 )^16+41362219/48*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+1643846493515179 /18*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+315511465322880*n^9*(n-1)^n/( n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-195172858886400*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-\ 6)^n/(n-6)^16+26854884841/144*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+ 4780191176515/288*n^19*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-562746988469/ 288*n^20*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16-11050064459317/96*n^18*(n-1)^ n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+62800987750111/96*n^17*(n-1)^n/(n-1)^5/(n^n) ^2*(n-6)^n/(n-6)^16-109799538498281/36*n^16*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-\ 6)^16+838517327476439/72*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-6)^n/(n-6)^16+9013/ 1728*n^29*((n-1)^n)^2/(n-1)^8/(n^n)^3*(n-5)^n/(n-5)^16-40273/192*n^28*((n-1)^n) 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^n)^5/(n-1)^21/(n^n)^5+71005/48*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^5-2690*n^19*((n -1)^n)^5/(n-1)^21/(n^n)^5+3405*n^18*((n-1)^n)^5/(n-1)^21/(n^n)^5+50011/324*n^20 *(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-219494/81*n^19*(n-1)^n/(n-1)^5/(n^n)^ 2*(n-4)^n/(n-4)^13+11150107/324*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-\ 106016521/324*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+770478137/324*n^16* (n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-8662059263/648*n^15*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^13+18929976923/324*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-\ 4)^13-16076253076/81*n^13*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-5012925104/3 *n^9*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+1216103616*n^8*(n-1)^n/(n-1)^5/(n ^n)^2*(n-4)^n/(n-4)^13-9377744062/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^ 13+42182549942/81*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-534339840*n^7*( n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+13997672284/9*n^10*(n-1)^n/(n-1)^5/(n^n )^2*(n-4)^n/(n-4)^13+106444800*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-1/ 648*n^23*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13+23/162*n^22*(n-1)^n/(n-1)^5/( n^n)^2*(n-4)^n/(n-4)^13-1943/324*n^21*(n-1)^n/(n-1)^5/(n^n)^2*(n-4)^n/(n-4)^13-\ 273*n^23*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-860633/4*n^21*(n-1)^n/(n-1)^4 /(n^n)^2*(n-5)^n/(n-5)^15+14652487/4*n^20*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5) ^15-283430521/6*n^19*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+2831121839/6*n^18 *(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-29619297435/8*n^17*(n-1)^n/(n-1)^4/(n ^n)^2*(n-5)^n/(n-5)^15+184063198605/8*n^16*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5 )^15-227276963693/2*n^15*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+891703555327/ 2*n^14*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-4149206604824/3*n^13*(n-1)^n/(n -1)^4/(n^n)^2*(n-5)^n/(n-5)^15-9112138032096*n^9*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^ n/(n-5)^15+6368340921984*n^8*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-\ 6299176038792*n^11*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+10081994947066/3*n^ 12*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-2703344232960*n^7*(n-1)^n/(n-1)^4/( n^n)^2*(n-5)^n/(n-5)^15+8893704664968*n^10*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5 )^15+523069747200*n^6*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15-1/24*n^25*(n-1)^ n/(n-1)^4/(n^n)^2*(n-5)^n/(n-5)^15+119/24*n^24*(n-1)^n/(n-1)^4/(n^n)^2*(n-5)^n/ (n-5)^15+292400563651/9*n^18*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-\ 1058428840349/12*n^17*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+ 471432841660*n^14*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-1021726174697/3 *n^15*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13+73036753920*n^10*((n-1)^n)^ 2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5)^13-501350170176*n^13*((n-1)^n)^2/(n-1)^10/(n^n )^3*(n-5)^n/(n-5)^13-11496038400*n^9*((n-1)^n)^2/(n-1)^10/(n^n)^3*(n-5)^n/(n-5) ^13-1/288*n^36*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+19/96*n^35*((n-1)^n )^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-757/144*n^34*((n-1)^n)^5/(n-1)^21/(n^n)^6* (n-2)^n/(n-2)^8+6227/72*n^33*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-47419 /48*n^32*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+1198409/144*n^31*((n-1)^n )^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-3859079/72*n^30*((n-1)^n)^5/(n-1)^21/(n^n) ^6*(n-2)^n/(n-2)^8+1079541/4*n^29*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-\ 310251325/288*n^28*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+989125405/288*n ^27*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-140270897/16*n^26*((n-1)^n)^5/ (n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+1287038093/72*n^25*((n-1)^n)^5/(n-1)^21/(n^n)^ 6*(n-2)^n/(n-2)^8-346748411/12*n^24*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^ 8+73049607/2*n^23*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-35300103*n^22*(( n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8+25162686*n^21*((n-1)^n)^5/(n-1)^21/( n^n)^6*(n-2)^n/(n-2)^8-12452292*n^20*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2) ^8+3815424*n^19*((n-1)^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-544320*n^18*((n-1) ^n)^5/(n-1)^21/(n^n)^6*(n-2)^n/(n-2)^8-133/24/(n^n)*n^19*(n-5)^n/(n-5)^15+7/144 /(n^n)*n^20*(n-5)^n/(n-5)^15+581/2/(n^n)*n^18*(n-5)^n/(n-5)^15-37163/4/(n^n)*n^ 17*(n-5)^n/(n-5)^15+4867709/24/(n^n)*n^16*(n-5)^n/(n-5)^15-6407583/2/(n^n)*n^15 *(n-5)^n/(n-5)^15+340880449/9/(n^n)*n^14*(n-5)^n/(n-5)^15-4102741643/12/(n^n)*n ^13*(n-5)^n/(n-5)^15+38124024939/16/(n^n)*n^12*(n-5)^n/(n-5)^15-103019369453/8/ (n^n)*n^11*(n-5)^n/(n-5)^15+161683840682/3/(n^n)*n^10*(n-5)^n/(n-5)^15+ 986717477592/(n^n)*n^6*(n-5)^n/(n-5)^15-853925848608/(n^n)*n^5*(n-5)^n/(n-5)^15 +3807887427463/9/(n^n)*n^8*(n-5)^n/(n-5)^15-173422812381/(n^n)*n^9*(n-5)^n/(n-5 )^15+440893595520/(n^n)*n^4*(n-5)^n/(n-5)^15-2294237769614/3/(n^n)*n^7*(n-5)^n/ (n-5)^15-101708006400/(n^n)*n^3*(n-5)^n/(n-5)^15-40620542687/324*n^27*((n-1)^n) ^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17+2588112823/324*n^28*((n-1)^n)^2/(n-1)^9/(n^ n)^3*(n-6)^n/(n-6)^17-2701441669501/162*n^25*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^ n/(n-6)^17+2067986265907/1296*n^26*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17 -262769449/648*n^29*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17+46771646745643 /324*n^24*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17-674838588130309/648*n^23 *((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17+8144673519692467/1296*n^22*((n-1) ^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17-20592732590714449/648*n^21*((n-1)^n)^2/( n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17+43626573677699203/324*n^20*((n-1)^n)^2/(n-1)^9/ (n^n)^3*(n-6)^n/(n-6)^17-7/36*n^18*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+329/ 36*n^17*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-3451/18*n^16*(n-1)^n/(n-1)^5/(n ^n)^2*(n-3)^n/(n-3)^9+42707/18*n^15*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-\ 77119/4*n^14*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+1299739/12*n^13*(n-1)^n/(n -1)^5/(n^n)^2*(n-3)^n/(n-3)^9-3879659/9*n^12*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n -3)^9+11013268/9*n^11*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-22110088/9*n^10*( n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+30576476/9*n^9*(n-1)^n/(n-1)^5/(n^n)^2*( n-3)^n/(n-3)^9-9200576/3*n^8*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9+1618624*n^ 7*(n-1)^n/(n-1)^5/(n^n)^2*(n-3)^n/(n-3)^9-376320*n^6*(n-1)^n/(n-1)^5/(n^n)^2*(n -3)^n/(n-3)^9-77295133404659641/162*n^19*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n -6)^17+114082029780425017/81*n^18*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17-\ 278787921105851798/81*n^17*((n-1)^n)^2/(n-1)^9/(n^n)^3*(n-6)^n/(n-6)^17-5184*n^ 18*((n-1)^n)^6/(n-1)^26/(n^n)^6 In particular we have an indication that, X[3], and , X[4], are joint-asymptoically normal with limiting correlation exp(-2) -1/4 --------------------------------------------------------------- 1/2 ((-1/2 exp(-2) + 1/2 exp(-1)) (-5/36 exp(-2) + 1/6 exp(-1))) and in decomals -.4812089418 ------------------------------------------------ --------------------------------------------------- This ends this paper that took, 15.053, seconds to produce.