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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.

A362342 a(n) = n! * Sum_{k=0..floor(n/4)} (-k/24)^k / (k! * (n-4*k)!).

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%I A362342 #13 Feb 16 2025 08:34:05
%S A362342 1,1,1,1,0,-4,-14,-34,71,1135,6091,22771,-87119,-1847559,-13769755,
%T A362342 -70046339,390688481,10473961121,100030347361,643972996705,
%U A362342 -4717305354419,-153449916040259,-1787926183752939,-13926752488607419,126329848106764765
%N A362342 a(n) = n! * Sum_{k=0..floor(n/4)} (-k/24)^k / (k! * (n-4*k)!).
%H A362342 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362342 E.g.f.: exp(x) / (1 + LambertW(x^4/24)).
%o A362342 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^4/24))))
%Y A362342 Cf. A069856, A362340, A362341.
%Y A362342 Cf. A351930, A362345, A362349.
%K A362342 sign
%O A362342 0,6
%A A362342 _Seiichi Manyama_, Apr 17 2023