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 A385831 #8 Jul 10 2025 11:00:38
%S A385831 1,1,3,32,961,64467,8255248,1808137854,625644428013,322212826476551,
%T A385831 235861774406899499,236570361788785389414,315585587694401993913716,
%U A385831 546279374467805677562555764,1201815582876341559500261276952,3301389061225358326490572037897646
%N A385831 a(0) = 1; a(n) = Sum_{k=0..n-1} (1 + k^3) * a(k) * a(n-1-k).
%F A385831 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) - x*Sum_{k=1..3} Stirling2(3,k) * x^k * (d^k/dx^k A(x)) ).
%o A385831 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, (1+j^3)*v[j+1]*v[i-j])); v;
%Y A385831 Cf. A088716, A385830, A385832, A385833, A385834.
%Y A385831 Cf. A385763.
%K A385831 nonn
%O A385831 0,3
%A A385831 _Seiichi Manyama_, Jul 09 2025