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 A362430 #9 Feb 16 2025 08:34:05
%S A362430 1,1,1,-5,-47,-239,121,19321,261409,1449505,-20428559,-730564559,
%T A362430 -10403326559,-10910781023,3713153976169,108037345645321,
%U A362430 1301173754543041,-22441761904964159,-1628466860540690207,-41339196023230498463,-189173461196772118079
%N A362430 E.g.f. satisfies A(x) = exp(x - x^3 * A(x)).
%H A362430 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362430 E.g.f.: exp(x - LambertW(x^3 * exp(x))) = LambertW(x^3 * exp(x))/x^3.
%F A362430 a(n) = n! * Sum_{k=0..floor(n/3)} (-1)^k * (k+1)^(n-2*k-1) / (k! * (n-3*k)!).
%o A362430 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(x^3*exp(x)))))
%Y A362430 Cf. A362396, A362431.
%Y A362430 Cf. A362392.
%K A362430 sign
%O A362430 0,4
%A A362430 _Seiichi Manyama_, Apr 20 2023