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 A355131 #7 Jun 20 2022 08:36:39 %S A355131 1,2,18,482,33554,5688162,2266828306,2077710037986,4312607047919378, %T A355131 20026622857699101794,205970083615742633015314, %U A355131 4651396041100180736449396962,228932014511191529094605862938898,24398187888144654481778017293891600738 %N A355131 E.g.f. A(x) satisfies A(x) = 1 + 2 * (exp(x) - 1) * A(2 * (exp(x) - 1)). %F A355131 E.g.f. A(x) satisfies: A(log(1+x)) = 1 + 2*x*A(2*x). %F A355131 a(0) = 1; a(n) = Sum_{k=1..n} k * 2^k * Stirling2(n,k) * a(k-1). %o A355131 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*2^j*stirling(i, j, 2)*v[j])); v; %Y A355131 Cf. A355122, A355128. %K A355131 nonn %O A355131 0,2 %A A355131 _Seiichi Manyama_, Jun 20 2022