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 A355083 #22 Jun 19 2022 08:40:33 %S A355083 1,2,10,86,1106,19562,451014,13051586,460907034,19434738686, %T A355083 961628831658,55046140338642,3602414472002206,266842000568643866, %U A355083 22180625837341816898,2053584526860808500094,210393497508897167616290,23715128208081620773251530 %N A355083 E.g.f. A(x) satisfies A(x) = 1 + 2 * (exp(x) - 1) * A(exp(x) - 1). %F A355083 E.g.f. A(x) satisfies: A(log(1+x)) = 1 + 2*x*A(x). %F A355083 a(0) = 1; a(n) = 2 * Sum_{k=1..n} k * Stirling2(n,k)* a(k-1). %o A355083 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*sum(j=1, i, j*stirling(i, j, 2)*v[j])); v; %Y A355083 Cf. A213357, A355092. %Y A355083 Cf. A355100. %K A355083 nonn %O A355083 0,2 %A A355083 _Seiichi Manyama_, Jun 19 2022