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 A355097 #9 Jun 19 2022 09:43:18 %S A355097 1,3,15,87,414,-333,-36207,-125415,9692208,65346480,-6686193834, %T A355097 -28979410023,9399236141664,-74034590428035,-21601690453093869, %U A355097 753341807730002715,64208547156310265880,-6137571162315494165580,-131200755856066508312736 %N A355097 E.g.f. A(x) satisfies A(x) = 1 + 3 * log(1+x) * A(log(1+x)). %F A355097 E.g.f. A(x) satisfies: A(exp(x) - 1) = 1 + 3*x*A(x). %F A355097 a(0) = 1; a(n) = 3 * Sum_{k=1..n} k * Stirling1(n,k) * a(k-1). %o A355097 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*sum(j=1, i, j*stirling(i, j, 1)*v[j])); v; %Y A355097 Cf. A354728, A355096. %Y A355097 Cf. A355105. %K A355097 sign %O A355097 0,2 %A A355097 _Seiichi Manyama_, Jun 19 2022