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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.

A362891 Expansion of e.g.f. 1/(1 + LambertW(x^2 * log(1-x))).

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%I A362891 #11 Feb 16 2025 08:34:05
%S A362891 1,0,0,6,12,40,1620,11088,80640,2289600,30471840,374663520,9819817920,
%T A362891 195106129920,3507260492736,95860364846400,2466492401318400,
%U A362891 58909563259223040,1775000008437557760,54856736708999339520,1629826915777548364800
%N A362891 Expansion of e.g.f. 1/(1 + LambertW(x^2 * log(1-x))).
%H A362891 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362891 a(n) = n! * Sum_{k=0..floor(n/3)} k^k * |Stirling1(n-2*k,k)|/(n-2*k)!.
%o A362891 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(x^2*log(1-x)))))
%Y A362891 Cf. A305981, A362835.
%Y A362891 Cf. A353228, A362892.
%K A362891 nonn
%O A362891 0,4
%A A362891 _Seiichi Manyama_, May 08 2023