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 A386446 #8 Jul 22 2025 09:52:14
%S A386446 1,1,2,67,16414,16840826,52661283276,409599480216723,
%T A386446 6884957718009061046,225620064835937122627934,
%U A386446 13323090455565480199133495252,1332335691963961772604470940370302,214576660211223693770379106296061734124,53393968668333658608864584261609697870131860
%N A386446 a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} k^5 * a(k) * a(n-1-k).
%F A386446 G.f. A(x) satisfies A(x) = 1/( 1 - x - x*Sum_{k=1..5} Stirling2(5,k) * x^k * (d^k/dx^k A(x)) ).
%o A386446 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=v[i]+sum(j=0, i-1, j^5*v[j+1]*v[i-j])); v;
%Y A386446 Cf. A075834, A386443, A386444, A386445, A386447.
%Y A386446 Cf. A385833.
%K A386446 nonn
%O A386446 0,3
%A A386446 _Seiichi Manyama_, Jul 22 2025