OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..160
FORMULA
a(0) = 0, a(1) = 1, a(n+1) = ((2*n-1)^3+(2*n+1)^3)*a(n) - (2*n-1)^6*a(n-1) for n > 0.
a(n) ~ 7*Zeta(3) * 2^(3*n-3/2) * n^(3*n) / exp(3*n). - Vaclav Kotesovec, Aug 27 2017
a(1) = 1, a(n) = a(n-1)*(2n-1)^3 + ((2n-1)!!)^3/(2n-1)^3, for n > 1. - Daniel Suteu, Nov 01 2017
MATHEMATICA
Table[(2*n-1)!!^3 * Sum[1/(2*i-1)^3, {i, 1, n}], {n, 0, 15}] (* Vaclav Kotesovec, Aug 27 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 27 2017
STATUS
approved