OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..175
FORMULA
a(n) ~ 3^(3*n + 1/2) * n^(2*n) / (2 * exp(2*n) * (log(2))^(3*n + 1)).
G.f.: Sum_{n>=0} (1 + x)^(n^3) / 2^(n+1).
MATHEMATICA
Table[Sum[Binomial[k^3, n]/2^(k+1), {k, 0, Infinity}], {n, 0, 15}]
Table[Sum[StirlingS1[n, j] * HurwitzLerchPhi[1/2, -3*j, 0]/2, {j, 0, n}] / n!, {n, 0, 15}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Mar 21 2018
STATUS
approved