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 A375701 #11 Aug 25 2024 09:58:23
%S A375701 1,0,0,0,12,30,120,630,19152,166320,1506600,14968800,313014240,
%T A375701 4864860000,72829607760,1116874558800,23605893400320,495461472105600,
%U A375701 10289649464640000,215706738207542400,5222625647551920000,133507746422859513600,3481696859911699968000
%N A375701 Expansion of e.g.f. 1 / sqrt(1 + x^3 * log(1 - x)).
%F A375701 a(n) = n! * Sum_{k=0..floor(n/4)} (Product_{j=0..k-1} (6*j+3)) * |Stirling1(n-3*k,k)|/(6^k*(n-3k)!).
%o A375701 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/sqrt(1+x^3*log(1-x))))
%o A375701 (PARI) a(n) = n!*sum(k=0, n\4, prod(j=0, k-1, 6*j+3)*abs(stirling(n-3*k, k, 1))/(6^k*(n-3*k)!));
%Y A375701 Cf. A351504, A375699, A375700.
%Y A375701 Cf. A375718.
%K A375701 nonn
%O A375701 0,5
%A A375701 _Seiichi Manyama_, Aug 25 2024