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 A362835 #13 May 05 2023 12:25:53 %S A362835 1,0,2,3,56,270,4704,43260,814736,11356632,240848640,4492204200, %T A362835 108396245088,2513538490320,68878522931568,1896787592514360, %U A362835 58622475066067200,1860520458522196800,64297710768900261888,2303738717704104464640 %N A362835 Expansion of e.g.f. 1/(1 + LambertW(x * log(1-x))). %F A362835 a(n) = (-1)^n * n! * Sum_{k=0..floor(n/2)} k^k * Stirling1(n-k,k)/(n-k)!. %o A362835 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(x*log(1-x))))) %Y A362835 Cf. A318615, A362836. %K A362835 nonn %O A362835 0,3 %A A362835 _Seiichi Manyama_, May 05 2023