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 A385833 #8 Jul 10 2025 11:00:41
%S A385833 1,1,3,104,25585,26276091,82191698776,639369308538270,
%T A385833 10747798328839679301,352216100969784522738455,
%U A385833 20799065226839989441184616755,2079968920938449464603267217930862,334987314655287149221766445992266495796,83356568448492338030736248231384628286761124
%N A385833 a(0) = 1; a(n) = Sum_{k=0..n-1} (1 + k^5) * a(k) * a(n-1-k).
%F A385833 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) - x*Sum_{k=1..5} Stirling2(5,k) * x^k * (d^k/dx^k A(x)) ).
%o A385833 (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^5)*v[j+1]*v[i-j])); v;
%Y A385833 Cf. A088716, A385830, A385831, A385832, A385834.
%Y A385833 Cf. A385765, A385843.
%K A385833 nonn
%O A385833 0,3
%A A385833 _Seiichi Manyama_, Jul 09 2025