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 A361577 #11 Mar 16 2023 09:05:41
%S A361577 1,0,0,0,1,20,300,4200,58835,849240,12814200,203742000,3430355775,
%T A361577 61363001700,1168815948300,23734579869000,513878948207625,
%U A361577 11850279026586000,290440507342986000,7543064638441332000,206860683821114948625,5968372055889205462500
%N A361577 Expansion of e.g.f. exp(x^4/(24 * (1 - x)^4)).
%F A361577 a(n) = n! * Sum_{k=0..floor(n/4)} binomial(n-1,n-4*k)/(24^k * k!).
%F A361577 a(0) = 1; a(n) = ((n-1)!/24) * Sum_{k=4..n} (-1)^(k-4) * k * binomial(-4,k-4) * a(n-k)/(n-k)!.
%o A361577 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x^4/(24*(1-x)^4))))
%o A361577 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=(i-1)!/24*sum(j=4, i, (-1)^(j-4)*j*binomial(-4, j-4)*v[i-j+1]/(i-j)!)); v;
%Y A361577 Cf. A000262, A335344, A361573.
%K A361577 nonn
%O A361577 0,6
%A A361577 _Seiichi Manyama_, Mar 16 2023