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 A363354 #19 Feb 16 2025 08:34:05
%S A363354 1,1,3,25,277,4221,81421,1891429,51638217,1618907257,57332786041,
%T A363354 2264047223241,98641443498973,4700569138096885,243213757144477029,
%U A363354 13579261873673960941,813757288951509415441,52098716516012891238129,3548972379593741013388657
%N A363354 E.g.f. satisfies A(x) = exp(x * (1 + x * A(x)^3)).
%H A363354 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A363354 E.g.f.: exp( x - LambertW(-3*x^2*exp(3*x))/3 ).
%F A363354 a(n) = n! * Sum_{k=0..n} (3*n-3*k+1)^(k-1) * binomial(k,n-k)/k!.
%o A363354 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(-3*x^2*exp(3*x))/3)))
%Y A363354 Cf. A125500, A143768, A363529.
%Y A363354 Cf. A212917.
%K A363354 nonn
%O A363354 0,3
%A A363354 _Seiichi Manyama_, Aug 17 2023