OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..104
FORMULA
a(0) = 0, a(1) = 1, a(n+1) = (n^6 + (n+1)^6)*a(n) - n^12*a(n-1) for n > 0.
a(n) ~ 8 * Pi^9 * n^(6*n+3) / (945 * exp(6*n)). - Vaclav Kotesovec, Aug 27 2017
Sum_{n>=0} a(n) * x^n / (n!)^6 = polylog(6,x) / (1 - x). - Ilya Gutkovskiy, Jul 15 2020
MATHEMATICA
Table[(n!)^6 * Sum[1/i^6, {i, 1, n}], {n, 0, 15}] (* Vaclav Kotesovec, Aug 27 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 24 2017
STATUS
approved