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 A362525 #12 Feb 16 2025 08:34:05
%S A362525 1,1,1,2,5,11,51,246,897,7085,51221,260426,2938541,28279967,184234415,
%T A362525 2714662406,32614422401,259026339161,4721237878537,67998862785970,
%U A362525 637019875964341,13852253151455251,232584488748665131,2510358957337412182,63466995535914172225
%N A362525 a(n) = n! * Sum_{k=0..floor(n/3)} (k+1)^(k-1) / (6^k * k! * (n-3*k)!).
%H A362525 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362525 E.g.f.: exp(x - LambertW(-x^3/6)) = -6 * LambertW(-x^3/6)/x^3 * exp(x).
%o A362525 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(-x^3/6))))
%Y A362525 Cf. A088957, A362524.
%Y A362525 Cf. A362351, A362523.
%K A362525 nonn,easy
%O A362525 0,4
%A A362525 _Seiichi Manyama_, Apr 23 2023