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 A360432 #15 Feb 16 2025 08:34:04 %S A360432 0,1,2,15,112,1225,16896,283759,5623808,128431377,3321026560, %T A360432 95915951791,3060250165248,106896447626137,4057412577591296, %U A360432 166284754020913935,7318183421113532416,344228133020323687201,17233838271273426223104,915000759922243030582735 %N A360432 E.g.f. satisfies A(x) = x * exp(A(x) + x^2). %H A360432 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>. %H A360432 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lambert_W_function">Lambert W function</a>. %F A360432 E.g.f.: -LambertW( -x*exp(x^2) ). %F A360432 a(n) ~ sqrt(1+LambertW(2*exp(-2))) * 2^(n/2) * n^(n-1) / (exp(n) * (LambertW(2*exp(-2)))^(n/2)). - _Vaclav Kotesovec_, Feb 07 2023 %o A360432 (PARI) my(N=20, x='x+O('x^N)); concat(0, Vec(serlaplace(-lambertw(-x*exp(x^2))))) %Y A360432 Cf. A216857, A360433. %Y A360432 Cf. A052318. %K A360432 nonn %O A360432 0,3 %A A360432 _Seiichi Manyama_, Feb 07 2023