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 A362912 #15 Nov 11 2023 06:40:21 %S A362912 1,1,5,34,303,3371,45016,701401,12490057,250215916,5569582777, %T A362912 136371309999,3642603629462,105405416033607,3284722016179597, %U A362912 109672448519030698,3905936524326557659,147802493781420536423,5921911678533323178312 %N A362912 Expansion of e.g.f. 1/( 1 - (exp(x) - 1) * exp(exp(x) - 1) ). %F A362912 a(n) = Sum_{k=0..n} Stirling2(n,k) * A006153(k). %F A362912 a(n) ~ n! * LambertW(1) / ((1 + LambertW(1))^2 * (log(1 + LambertW(1)))^(n+1)). - _Vaclav Kotesovec_, Nov 11 2023 %o A362912 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-(exp(x)-1)*exp(exp(x)-1)))) %Y A362912 Cf. A305306, A362911. %Y A362912 Cf. A006153, A347339. %K A362912 nonn %O A362912 0,3 %A A362912 _Seiichi Manyama_, May 10 2023