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 A385066 #24 Jul 24 2025 09:36:22
%S A385066 1,1,1,7,193,12481,1570201,340513321,117098181313,60060238918849,
%T A385066 43839052690362481,43879747204367814961,58445034533293136385361,
%U A385066 101048138430710700967252945,222098609829790469135187472009,609650270727758340550662998605801,2058153076335502227178904191401488641
%N A385066 E.g.f. A(x) satisfies A(x) = exp(x + x^3*A''(x)).
%F A385066 a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} (-k + k^3) * binomial(n-1,k) * a(k) * a(n-1-k).
%o A385066 (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, (1+j)*sum(k=1, 2, stirling(2, k, 1)*j^k)*binomial(i-1, j)*v[j+1]*v[i-j])); v;
%Y A385066 Cf. A143925, A386502, A386503, A386504.
%Y A385066 Cf. A385920, A386448.
%K A385066 nonn
%O A385066 0,4
%A A385066 _Seiichi Manyama_, Jul 24 2025