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 A351134 #17 Feb 04 2022 08:27:25
%S A351134 1,1,127,115028,383611414,3407421330934,66396378581670602,
%T A351134 2493320561997330821496,164454446238949941359354760,
%U A351134 17769323863754938530919641304080,2978930835291629440372517431365668448,741834782450714229554166000654848368247568
%N A351134 a(n) = Sum_{k=0..n} k! * k^(3*n) * Stirling1(n,k).
%H A351134 Seiichi Manyama, <a href="/A351134/b351134.txt">Table of n, a(n) for n = 0..125</a>
%F A351134 E.g.f.: Sum_{k>=0} log(1 + k^3*x)^k.
%F A351134 a(n) ~ c * d^n * n^(4*n + 1/2), where d = 0.358437102792682941192966771107499325675345706113923587904567864366079667... and c = 2.68150179193269103258189978938660205530269361522513... - _Vaclav Kotesovec_, Feb 04 2022
%t A351134 a[0] = 1; a[n_] := Sum[k! * k^(3*n) * StirlingS1[n, k], {k, 1, n}]; Array[a, 12, 0] (* _Amiram Eldar_, Feb 02 2022 *)
%o A351134 (PARI) a(n) = sum(k=0, n, k!*k^(3*n)*stirling(n, k, 1));
%o A351134 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, log(1+k^3*x)^k)))
%Y A351134 Cf. A006252, A320083, A351133.
%Y A351134 Cf. A242229, A351135, A351137.
%K A351134 nonn
%O A351134 0,3
%A A351134 _Seiichi Manyama_, Feb 02 2022