This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A301466 #10 Mar 22 2018 12:16:39 %S A301466 1,13,2335,1178873,1168712311,1916687692685,4697337224419543, %T A301466 16082097033630615185,73313708225823014181097, %U A301466 429319086610079876821621425,3140585308524019620784003889263,28066697522114849327295724261347841,300886927215791917153044786581553617063 %N A301466 a(n) = Sum_{k>=0} binomial(k^3, n)/2^(k+1). %H A301466 Vaclav Kotesovec, <a href="/A301466/b301466.txt">Table of n, a(n) for n = 0..175</a> %F A301466 a(n) ~ 3^(3*n + 1/2) * n^(2*n) / (2 * exp(2*n) * (log(2))^(3*n + 1)). %F A301466 G.f.: Sum_{n>=0} (1 + x)^(n^3) / 2^(n+1). %t A301466 Table[Sum[Binomial[k^3, n]/2^(k+1), {k, 0, Infinity}], {n, 0, 15}] %t A301466 Table[Sum[StirlingS1[n, j] * HurwitzLerchPhi[1/2, -3*j, 0]/2, {j, 0, n}] / n!, {n, 0, 15}] %Y A301466 Cf. A173217, A301310, A301432, A301468. %K A301466 nonn %O A301466 0,2 %A A301466 _Vaclav Kotesovec_, Mar 21 2018