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 A365038 #12 Feb 16 2025 08:34:06
%S A365038 1,1,1,-2,9,-44,175,246,-21007,396712,-5576769,57840850,-151112951,
%T A365038 -14137899060,539212013327,-13335393617714,239914650459105,
%U A365038 -1990873438067504,-76974185162417921,5220283004540970282,-194958036625254566599,5226632355735840377140
%N A365038 E.g.f. satisfies A(x) = exp(x * (1 + x)/A(x)).
%H A365038 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A365038 E.g.f.: exp( LambertW(x * (1+x)) ).
%F A365038 a(n) = n! * Sum_{k=0..n} (-k+1)^(k-1) * binomial(k,n-k)/k!.
%o A365038 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(x*(1+x)))))
%Y A365038 Cf. A362771, A362773, A363478, A365039, A365040.
%Y A365038 Cf. A361067.
%K A365038 sign,easy
%O A365038 0,4
%A A365038 _Seiichi Manyama_, Aug 18 2023