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 A362701 #9 Feb 16 2025 08:34:05
%S A362701 1,1,4,27,260,3205,48276,859453,17656696,411139233,10700380520,
%T A362701 307819026031,9698757574716,332170854765373,12286858280098780,
%U A362701 488160559069250985,20732661511284180656,937357753835195873857,44948438093966732331984
%N A362701 Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^3/6))).
%H A362701 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362701 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^(n-2*k) / (6^k * k! * (n-3*k)!).
%o A362701 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(-x*exp(x^3/6)))))
%Y A362701 Cf. A072034, A362700.
%Y A362701 Cf. A362705.
%K A362701 nonn
%O A362701 0,3
%A A362701 _Seiichi Manyama_, Apr 30 2023