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 A356025 #58 Aug 04 2022 11:00:17
%S A356025 1,1,5,28,206,1786,18347,212745,2773927,39901109,628298992,
%T A356025 10725440221,197349522471,3888090474399,81659016005387,
%U A356025 1820049574958950,42895622543757084,1065460090285463634,27811791343693345811,760920657403831436463
%N A356025 Expansion of e.g.f. ( Product_{k>0} 1/(1-x^k)^(1/k!) )^(1/(1-x)).
%F A356025 a(0) = 1; a(n) = Sum_{k=1..n} A356009(k) * binomial(n-1,k-1) * a(n-k).
%o A356025 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace((1/prod(k=1, N, (1-x^k)^(1/k!)))^(1/(1-x))))
%o A356025 (PARI) a356009(n) = n!*sum(k=1, n, sumdiv(k, d, 1/(d*(k/d)!)));
%o A356025 a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, a356009(j)*binomial(i-1, j-1)*v[i-j+1])); v;
%Y A356025 Cf. A209902, A356009, A356336.
%K A356025 nonn
%O A356025 0,3
%A A356025 _Seiichi Manyama_, Aug 04 2022