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 A362324 #15 Feb 16 2025 08:34:05
%S A362324 1,1,1,1,1,-599,-4319,-17639,-53759,-136079,181137601,2414356561,
%T A362324 17242917121,87695201881,355974659041,-734340892685399,
%U A362324 -14279571631503359,-145614163414530719,-1037158816523518079,-5794132157196668639,16192314610730781350401
%N A362324 a(n) = n! * Sum_{k=0..floor(n/5)} (-n)^k / (k! * (n-5*k)!).
%H A362324 Seiichi Manyama, <a href="/A362324/b362324.txt">Table of n, a(n) for n = 0..414</a>
%H A362324 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362324 a(n) = n! * [x^n] exp(x - n*x^5).
%F A362324 E.g.f.: exp( ( LambertW(5*x^5)/5 )^(1/5) ) / (1 + LambertW(5*x^5)).
%o A362324 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((lambertw(5*x^5)/5)^(1/5))/(1+lambertw(5*x^5))))
%Y A362324 Cf. A362282, A362305, A362322.
%Y A362324 Cf. A351906, A362320.
%K A362324 sign
%O A362324 0,6
%A A362324 _Seiichi Manyama_, Apr 16 2023