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 A362705 #11 Feb 16 2025 08:34:05
%S A362705 1,0,0,1,4,10,60,595,4536,34524,361320,4333725,51214460,651628406,
%T A362705 9448719644,146868322055,2376666773040,41077757951000,762599081332176,
%U A362705 14918668387075449,305774990501285940,6602482711971622210,149921553418087172260,3557552268845721893131
%N A362705 Expansion of e.g.f. 1/(1 + LambertW(-x^3/6 * exp(x))).
%H A362705 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362705 a(n) = n! * Sum_{k=0..floor(n/3)} k^(n-2*k) / (6^k * k! * (n-3*k)!).
%o A362705 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(-x^3/6*exp(x)))))
%Y A362705 Cf. A072034, A362704.
%Y A362705 Cf. A362351.
%K A362705 nonn,easy
%O A362705 0,5
%A A362705 _Seiichi Manyama_, Apr 30 2023