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 A354318 #14 Dec 27 2022 12:25:10
%S A354318 1,0,0,0,-1,10,-85,735,-6734,66024,-693230,7774250,-92754046,
%T A354318 1172033148,-15609023066,217966080150,-3173198858894,47842246890224,
%U A354318 -740798341880328,11644416638285544,-182433719522266066,2752864573552860900,-36826753489645422050
%N A354318 Expansion of e.g.f. exp(-log(1 + x)^4 / 24).
%F A354318 E.g.f.: 1/(1 + x)^(log(1 + x)^3 / 24).
%F A354318 a(0) = 1; a(n) = -Sum_{k=1..n} binomial(n-1,k-1) * Stirling1(k,4) * a(n-k).
%F A354318 a(n) = Sum_{k=0..floor(n/4)} (4*k)! * Stirling1(n,4*k)/((-24)^k * k!).
%t A354318 With[{nn=30},CoefficientList[Series[Exp[-Log[1+x]^4/24],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Dec 27 2022 *)
%o A354318 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(-log(1+x)^4/24)))
%o A354318 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x)^(log(1+x)^3/24)))
%o A354318 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-sum(j=1, i, binomial(i-1, j-1)*stirling(j, 4, 1)*v[i-j+1])); v;
%o A354318 (PARI) a(n) = sum(k=0, n\4, (4*k)!*stirling(n, 4*k, 1)/((-24)^k*k!));
%Y A354318 Cf. A346946, A347003, A354317.
%K A354318 sign
%O A354318 0,6
%A A354318 _Seiichi Manyama_, May 24 2022