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 A385841 #9 Jul 10 2025 11:00:07
%S A385841 1,1,2,18,505,32857,4141211,898723027,309170208201,158606268801081,
%T A385841 115783226426053396,115899337245305115516,154378153899481307826141,
%U A385841 266920063540268509322880013,586690612016923635703423527652,1610466268575965949949881680290412
%N A385841 a(n) = 1 + Sum_{k=0..n-1} k^3 * a(k) * a(n-1-k).
%F A385841 G.f. A(x) satisfies A(x) = 1/( (1 - x) * ( 1 - x*Sum_{k=1..3} Stirling2(3,k) * x^k * (d^k/dx^k A(x)) ) ).
%o A385841 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, j^3*v[j+1]*v[i-j])); v;
%Y A385841 Cf. A143917, A385840, A385842, A385843.
%K A385841 nonn
%O A385841 0,3
%A A385841 _Seiichi Manyama_, Jul 09 2025