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 A362699 #9 Feb 16 2025 08:34:05
%S A362699 1,1,4,27,280,3605,56376,1041103,22188496,535856553,14460919120,
%T A362699 431287416131,14087063106216,500112706900573,19174548699128200,
%U A362699 789598137339356535,34757031591555021856,1628640121039415039057,80938770039259919191584
%N A362699 Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^3))).
%H A362699 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362699 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^(n-2*k) / (k! * (n-3*k)!).
%o A362699 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(-x*exp(x^3)))))
%Y A362699 Cf. A072034, A362604.
%K A362699 nonn,easy
%O A362699 0,3
%A A362699 _Seiichi Manyama_, Apr 30 2023