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 A362341 #14 Feb 16 2025 08:34:05
%S A362341 1,1,1,0,-3,-9,21,246,1065,-4283,-67319,-397484,2315941,45914155,
%T A362341 343743037,-2623221054,-62980998639,-571382718039,5391435590545,
%U A362341 152175023203432,1622112809355661,-18232162910685569,-591788241447761819,-7247966654986009490
%N A362341 a(n) = n! * Sum_{k=0..floor(n/3)} (-k/6)^k / (k! * (n-3*k)!).
%H A362341 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362341 E.g.f.: exp(x) / (1 + LambertW(x^3/6)).
%o A362341 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^3/6))))
%Y A362341 Cf. A069856, A362340, A362342.
%Y A362341 Cf. A351929, A362303, A362348.
%K A362341 sign
%O A362341 0,5
%A A362341 _Seiichi Manyama_, Apr 17 2023