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 A354230 #10 Sep 20 2024 17:14:06
%S A354230 1,0,0,0,0,120,-1800,21000,-235200,2693880,-28690200,210447600,
%T A354230 1465952400,-123513355680,4155643171680,-114924516470400,
%U A354230 2886135295680000,-66750668391381120,1375830884058456960,-22036006671394705920,70186623981895296000,16180846322732941893120
%N A354230 Expansion of e.g.f. 1/(1 - log(1 + x)^5).
%F A354230 a(0) = 1; a(n) = 120 * Sum_{k=1..n} binomial(n,k) * Stirling1(k,5) * a(n-k).
%F A354230 a(n) = Sum_{k=0..floor(n/5)} (5*k)! * Stirling1(n,5*k).
%t A354230 With[{nn=30},CoefficientList[Series[1/(1-Log[1+x]^5),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Sep 20 2024 *)
%o A354230 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-log(1+x)^5)))
%o A354230 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=120*sum(j=1, i, binomial(i, j)*stirling(j, 5, 1)*v[i-j+1])); v;
%o A354230 (PARI) a(n) = sum(k=0, n\5, (5*k)!*stirling(n, 5*k, 1));
%Y A354230 Cf. A006252, A354229.
%Y A354230 Cf. A353200, A354135, A354232.
%K A354230 sign
%O A354230 0,6
%A A354230 _Seiichi Manyama_, May 20 2022