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 A355092 #10 Jun 19 2022 08:40:28 %S A355092 1,3,21,246,4215,97743,2917200,108150780,4850518269,257827235520, %T A355092 15978078982389,1139042647968096,92364503720316726, %U A355092 8439008013526902906,861692986696232539398,97635567184812702273234,12199893866233489801453323,1671886886212411035295719261 %N A355092 E.g.f. A(x) satisfies A(x) = 1 + 3 * (exp(x) - 1) * A(exp(x) - 1). %F A355092 E.g.f. A(x) satisfies: A(log(1+x)) = 1 + 3*x*A(x). %F A355092 a(0) = 1; a(n) = 3 * Sum_{k=1..n} k * Stirling2(n,k)* a(k-1). %o A355092 (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, 2)*v[j])); v; %Y A355092 Cf. A213357, A355083. %Y A355092 Cf. A355101. %K A355092 nonn %O A355092 0,2 %A A355092 _Seiichi Manyama_, Jun 19 2022