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 A362736 #16 Feb 16 2025 08:34:05
%S A362736 1,1,1,4,-3,96,-755,10368,-147623,2492416,-47137959,996741120,
%T A362736 -23260103339,594198429696,-16492683271259,494278721929216,
%U A362736 -15908038836914895,547238863907586048,-20038031401448021327,778147549666716155904,-31943565308583934360019
%N A362736 E.g.f. satisfies A(x) = exp(x^2 + x / A(x)).
%H A362736 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362736 E.g.f.: x / LambertW(x*exp(-x^2)) = exp( x^2 + LambertW(x*exp(-x^2)) ).
%F A362736 a(n) = n! * Sum_{k=0..floor(n/2)} (-n+2*k+1)^(n-k-1) / (k! * (n-2*k)!).
%o A362736 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x^2+lambertw(x*exp(-x^2)))))
%Y A362736 Cf. A362693, A362737.
%Y A362736 Cf. A362690.
%K A362736 sign
%O A362736 0,4
%A A362736 _Seiichi Manyama_, May 01 2023