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 A362691 #21 Feb 16 2025 08:34:05
%S A362691 1,1,3,22,173,1836,24847,403474,7667865,167097016,4108985531,
%T A362691 112562882334,3399748630357,112246652293972,4022094151907847,
%U A362691 155461592488721866,6447531477912609713,285606134199075271536,13458367778796518816755
%N A362691 E.g.f. satisfies A(x) = exp(x^3 + x * A(x)).
%H A362691 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362691 E.g.f.: -LambertW(-x * exp(x^3)) / x = exp( x^3 - LambertW(-x*exp(x^3)) ).
%F A362691 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k+1)^(n-2*k-1) / (k! * (n-3*k)!).
%o A362691 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x^3-lambertw(-x*exp(x^3)))))
%Y A362691 Cf. A349562, A362690.
%Y A362691 Cf. A362737.
%K A362691 nonn
%O A362691 0,3
%A A362691 _Seiichi Manyama_, May 01 2023