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 A356566 #14 Aug 13 2022 11:28:30
%S A356566 1,0,2,9,92,510,7074,68040,1002224,12529944,228706920,3565888920,
%T A356566 71035245192,1348127454960,30270949077264,661700017709640,
%U A356566 16516072112482560,408336559236083520,11204399270843020224,309489391954850336640,9258803420755891835520
%N A356566 Expansion of e.g.f. ( Product_{k>0} (1+x^k)^k )^x.
%F A356566 a(0) = 1, a(1) = 0; a(n) = Sum_{k=2..n} k! * A078306(k-1)/(k-1) * binomial(n-1,k-1) * a(n-k).
%o A356566 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(prod(k=1, N, (1+x^k)^k)^x))
%o A356566 (PARI) a078306(n) = sumdiv(n, d, (-1)^(n/d+1)*d^2);
%o A356566 a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=2, i, j!*a078306(j-1)/(j-1)*binomial(i-1, j-1)*v[i-j+1])); v;
%Y A356566 Cf. A356564, A356565.
%Y A356566 Cf. A007113, A078306, A356394.
%K A356566 nonn
%O A356566 0,3
%A A356566 _Seiichi Manyama_, Aug 12 2022