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 A362673 #12 Feb 16 2025 08:34:05
%S A362673 1,1,-1,10,-51,556,-7085,116376,-2263303,51072400,-1308626649,
%T A362673 37526799520,-1190440709051,41385630158016,-1564585725985477,
%U A362673 63903022429837696,-2804097015221308815,131558782973452677376,-6571623885587502740657
%N A362673 E.g.f. satisfies A(x) = exp( x * exp(x^2) / A(x) ).
%H A362673 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362673 E.g.f.: exp( LambertW(x * exp(x^2)) ).
%F A362673 a(n) = n! * Sum_{k=0..floor(n/2)} (n-2*k)^k * (-n+2*k+1)^(n-2*k-1) / (k! * (n-2*k)!).
%o A362673 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(x*exp(x^2)))))
%Y A362673 Cf. A362674.
%K A362673 sign
%O A362673 0,4
%A A362673 _Seiichi Manyama_, Apr 29 2023