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 A386444 #10 Jul 22 2025 09:51:55
%S A386444 1,1,2,19,550,36314,4612644,1005608259,346940795318,178328747938574,
%T A386444 130358697631572620,130619605078238043630,174116069712361545382300,
%U A386444 301220935342882714418320660,662385014999576998657776303368,1818909557774291764795223960949603,6142458248209027135766781428841480918
%N A386444 a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} k^3 * a(k) * a(n-1-k).
%F A386444 G.f. A(x) satisfies A(x) = 1/( 1 - x - x*Sum_{k=1..3} Stirling2(3,k) * x^k * (d^k/dx^k A(x)) ).
%o A386444 (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^3*v[j+1]*v[i-j])); v;
%Y A386444 Cf. A075834, A386443, A386445, A386446, A386447.
%Y A386444 Cf. A385831.
%K A386444 nonn
%O A386444 0,3
%A A386444 _Seiichi Manyama_, Jul 22 2025