#The list below are exact polynomial expression for
#(i) the expectation (ii) variance, and 3-rd through 12-th moments (about the mean)
#of the random variable, defined on the set of words
#with exactly n occurrences of each of the letters 1,2,3,
#of Doron Gepner's statistics:
#"total number of subwords that form an odd permutation of S_3"
#i.e. #132(w)+ #213(w)+ #321(w)
L:=
[1/2*n^3, 1/4*n^4, 0, 1/80*n^7*(-16+21*n), 0, 1/448*n^9*(-128+512*n-656*n^2+279
*n^3), 0, 1/1280*n^11*(-3328+16384*n-32512*n^2+32512*n^3-16480*n^4+3429*n^5),
0,
1/11264*n^13*(3*n-4)*(68985*n^6-469716*n^5+1391760*n^4-2251584*n^3+2072832*n^2-1022208*n+209920
), 
0,
n^15*(343717911/1863680*n^9-265635477/116480*n^8+93771627/7280*n^7-45012561/1040*n^6+43093563
/455*n^5-77940021/560*n^4+62196357/455*n^3-39213532/455*n^2+14354176/455*n-463661/91)
]: