OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..126
FORMULA
a(0) = 0, a(1) = 1, a(n+1) = ((2*n-1)^4+(2*n+1)^4)*a(n) - (2*n-1)^8*a(n-1) for n > 0.
a(n) ~ Pi^4 * 2^(4*n-3) * n^(4*n) / (3*exp(4*n)). - Vaclav Kotesovec, Aug 27 2017
MATHEMATICA
Table[(2*n-1)!!^4 * Sum[1/(2*i-1)^4, {i, 1, n}], {n, 0, 15}] (* Vaclav Kotesovec, Aug 27 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 27 2017
STATUS
approved