[1, 1, 2], vs. , [1, 1, 1]
using WhoWon
[true, .9975e-1, .6982]
Using Findrec and Asy:
2 3 4
n + 1 (4 n + 7) N (3 n + 8) N (5 n + 18) N (n + 4) N
gu := [[- ---------- - ----------- + ------------ + ------------- - ----------
64 (n + 6) 64 (n + 6) 64 (n + 6) 32 (n + 6) 4 (n + 6)
5 7
5 (n + 4) N (3 n + 16) N 8
+ ------------ - ------------- + N ,
8 (n + 6) 2 (n + 6)
1/2
23 39 2 1/2
[1/2, 1/2, 3/8, 5/16, 1/4, 7/32, ---, ---], [-------, (1/n)
128 256 1/2
8 Pi
1/2 1/2 1/2 1/2
53 (1/n) 16417 (1/n) 5001455 (1/n) 9178962219 (1/n)
+ ----------- + -------------- + ---------------- + -------------------
32 n 2 3 4
2048 n 65536 n 8388608 n
1/2 2
5588292140907 (1/n) n + 1 (4 n + 9) N (5 n + 28) N
+ ----------------------]], [---------- + ----------- + -------------
5 64 (8 + n) 64 (8 + n) 64 (8 + n)
268435456 n
3 4 5 6 7
3 (n + 5) N (n + 6) N (n - 1) N (n + 7) N (n + 9) N 8
+ ------------ - ---------- - ---------- - ---------- - ---------- + N ,
32 (8 + n) 8 (8 + n) 8 (8 + n) 2 (8 + n) 2 (8 + n)
190
cosh(---) 1/2
11 21 19 281 1/2 211 (1/n)
[1/2, 1/2, 3/8, 3/8, --, --, --, 9/32], [---------, (1/n) + ------------
32 64 64 1/2 224 n
Pi
1/2 1/2 1/2
77863 (1/n) 24843625 (1/n) 6608533419 (1/n)
+ -------------- + ----------------- + -------------------
2 3 4
14336 n 458752 n 8388608 n
1/2
4055389443147 (1/n)
+ ----------------------]]]
5
268435456 n
2 3 4
n + 1 (4 n + 7) N (3 n + 8) N (5 n + 18) N (n + 4) N
[[- ---------- - ----------- + ------------ + ------------- - ----------
64 (n + 6) 64 (n + 6) 64 (n + 6) 32 (n + 6) 4 (n + 6)
5 7
5 (n + 4) N (3 n + 16) N 8
+ ------------ - ------------- + N ,
8 (n + 6) 2 (n + 6)
1/2
23 39 2 1/2
[1/2, 1/2, 3/8, 5/16, 1/4, 7/32, ---, ---], [-------, (1/n)
128 256 1/2
8 Pi
1/2 1/2 1/2 1/2
53 (1/n) 16417 (1/n) 5001455 (1/n) 9178962219 (1/n)
+ ----------- + -------------- + ---------------- + -------------------
32 n 2 3 4
2048 n 65536 n 8388608 n
1/2 2
5588292140907 (1/n) n + 1 (4 n + 9) N (5 n + 28) N
+ ----------------------]], [---------- + ----------- + -------------
5 64 (8 + n) 64 (8 + n) 64 (8 + n)
268435456 n
3 4 5 6 7
3 (n + 5) N (n + 6) N (n - 1) N (n + 7) N (n + 9) N 8
+ ------------ - ---------- - ---------- - ---------- - ---------- + N ,
32 (8 + n) 8 (8 + n) 8 (8 + n) 2 (8 + n) 2 (8 + n)
190
cosh(---) 1/2
11 21 19 281 1/2 211 (1/n)
[1/2, 1/2, 3/8, 3/8, --, --, --, 9/32], [---------, (1/n) + ------------
32 64 64 1/2 224 n
Pi
1/2 1/2 1/2
77863 (1/n) 24843625 (1/n) 6608533419 (1/n)
+ -------------- + ----------------- + -------------------
2 3 4
14336 n 458752 n 8388608 n
1/2
4055389443147 (1/n)
+ ----------------------]]]
5
268435456 n
[[-1/64*(n+1)/(n+6)-1/64*(4*n+7)/(n+6)*N+1/64*(3*n+8)/(n+6)*N^2+1/32*(5*n+18)/(
n+6)*N^3-1/4*(n+4)/(n+6)*N^4+5/8*(n+4)/(n+6)*N^5-1/2*(3*n+16)/(n+6)*N^7+N^8, [1
/2, 1/2, 3/8, 5/16, 1/4, 7/32, 23/128, 39/256], [1/8*2^(1/2)/Pi^(1/2), (1/n)^(1
/2)+53/32/n*(1/n)^(1/2)+16417/2048/n^2*(1/n)^(1/2)+5001455/65536/n^3*(1/n)^(1/2
)+9178962219/8388608/n^4*(1/n)^(1/2)+5588292140907/268435456/n^5*(1/n)^(1/2)]],
[1/64*(n+1)/(8+n)+1/64*(4*n+9)/(8+n)*N+1/64*(5*n+28)/(8+n)*N^2+3/32*(n+5)/(8+n)
*N^3-1/8*(n+6)/(8+n)*N^4-1/8*(n-1)/(8+n)*N^5-1/2*(n+7)/(8+n)*N^6-1/2*(n+9)/(8+n
)*N^7+N^8, [1/2, 1/2, 3/8, 3/8, 11/32, 21/64, 19/64, 9/32], [cosh(190/281)/Pi^(
1/2), (1/n)^(1/2)+211/224/n*(1/n)^(1/2)+77863/14336/n^2*(1/n)^(1/2)+24843625/
458752/n^3*(1/n)^(1/2)+6608533419/8388608/n^4*(1/n)^(1/2)+4055389443147/
268435456/n^5*(1/n)^(1/2)]]]
--------------------------------
This took, 20.741, seconds.