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 A362338 #17 Feb 16 2025 08:34:05
%S A362338 1,1,1,-5,-23,-59,1321,9871,39985,-1512503,-16027919,-89148509,
%T A362338 4751428441,65256458125,461686022617,-31737431328329,-535583971806239,
%U A362338 -4599769739165039,387180506424212065,7750866424109754187,78298694889496869961,-7798395141074580424619
%N A362338 a(n) = n! * Sum_{k=0..floor(n/3)} (-k)^k / (k! * (n-3*k)!).
%H A362338 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362338 E.g.f.: exp(x) / (1 + LambertW(x^3)).
%o A362338 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^3))))
%Y A362338 Cf. A069856, A362337, A362339.
%Y A362338 Cf. A362348.
%K A362338 sign
%O A362338 0,4
%A A362338 _Seiichi Manyama_, Apr 17 2023