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 A385943 #7 Jul 13 2025 11:05:41
%S A385943 1,1,5,988,2888933,59194266336,5550172939486537,
%T A385943 1812719786900514856960,1706146365658760367161728617,
%U A385943 4025335006744077207541517795929600,21392361120121469487882204135345762936461,235316442953945260569915546964215106936729204224
%N A385943 a(0) = 1; a(n) = Sum_{k=0..n-1} (1 + k) * (1 + k^6) * binomial(n-1,k) * a(k) * a(n-1-k).
%F A385943 E.g.f. A(x) satisfies A(x) = exp( x*A(x) + x*Sum_{k=1..6} Stirling2(6,k) * x^k * (d^k/dx^k A(x)) ).
%o A385943 (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)*(1+j^6)*binomial(i-1, j)*v[j+1]*v[i-j])); v;
%Y A385943 Cf. A156326, A385939, A385940, A385941, A385942.
%Y A385943 Cf. A385834.
%K A385943 nonn
%O A385943 0,3
%A A385943 _Seiichi Manyama_, Jul 13 2025