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 A362323 #17 Feb 16 2025 08:34:05
%S A362323 1,1,1,1,1,601,4321,17641,53761,136081,181742401,2415576241,
%T A362323 17245198081,87699217321,355981385761,736792782125401,
%U A362323 14287010845685761,145634558983324321,1037210264169367681,5794253172081059041,16246379099801447769601
%N A362323 a(n) = n! * Sum_{k=0..floor(n/5)} n^k / (k! * (n-5*k)!).
%H A362323 Seiichi Manyama, <a href="/A362323/b362323.txt">Table of n, a(n) for n = 0..414</a>
%H A362323 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362323 a(n) = n! * [x^n] exp(x + n*x^5).
%F A362323 E.g.f.: exp( ( -LambertW(-5*x^5)/5 )^(1/5) ) / (1 + LambertW(-5*x^5)).
%o A362323 (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 A362323 Cf. A362301, A362321.
%Y A362323 Cf. A190877, A362319.
%K A362323 nonn
%O A362323 0,6
%A A362323 _Seiichi Manyama_, Apr 16 2023