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 A356587 #10 Aug 14 2022 10:15:54
%S A356587 1,0,2,15,236,8490,459234,40325880,4777773104,767688946920,
%T A356587 156746202491880,40056474754165320,12448131138826294152,
%U A356587 4634982982962988690320,2033625840922821008112144,1039060311676326627685615800,611331728108400284878223051520
%N A356587 Expansion of e.g.f. ( Product_{k>0} 1/(1 - (k * x)^k)^(1/k) )^x.
%F A356587 a(0) = 1, a(1) = 0; a(n) = Sum_{k=2..n} k! * sigma_{k-1}(k-1)/(k-1) * binomial(n-1,k-1) * a(n-k).
%o A356587 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, (1-(k*x)^k)^(1/k))^x))
%o A356587 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=2, i, j!*sigma(j-1, j-1)/(j-1)*binomial(i-1, j-1)*v[i-j+1])); v;
%Y A356587 Cf. A354623, A355064, A356554.
%Y A356587 Cf. A023887, A356440, A356588.
%K A356587 nonn
%O A356587 0,3
%A A356587 _Seiichi Manyama_, Aug 14 2022