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 A365040 #12 Feb 16 2025 08:34:06
%S A365040 1,1,-3,34,-623,15636,-499277,19382686,-886663647,46716323752,
%T A365040 -2786249779829,185574001203834,-13652735530485647,
%U A365040 1099602989008154476,-96230900016000250269,9092834662610587023286,-922622745817066477888703,100054409045940667152740304
%N A365040 E.g.f. satisfies A(x) = exp(x * (1 + x)/A(x)^3).
%H A365040 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A365040 E.g.f.: exp( LambertW(3*x * (1+x))/3 ).
%F A365040 a(n) = n! * Sum_{k=0..n} (-3*k+1)^(k-1) * binomial(k,n-k)/k!.
%o A365040 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(3*x*(1+x))/3)))
%Y A365040 Cf. A362771, A362773, A363478, A365038, A365039.
%Y A365040 Cf. A361069.
%K A365040 sign,easy
%O A365040 0,3
%A A365040 _Seiichi Manyama_, Aug 18 2023