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 A363478 #18 Feb 16 2025 08:34:05
%S A363478 1,1,9,142,3481,115476,4849639,246746662,14756605329,1014635520424,
%T A363478 78869009859751,6839463570354306,654661145565724345,
%U A363478 68559809182824171148,7797979656027302949159,957275139494698134599806,126152927575064012671549729
%N A363478 E.g.f. satisfies A(x) = exp(x * (1 + x) * A(x)^3).
%H A363478 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A363478 E.g.f.: exp( -LambertW(-3*x * (1+x))/3 ).
%F A363478 a(n) = n! * Sum_{k=0..n} (3*k+1)^(k-1) * binomial(k,n-k)/k!.
%o A363478 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-3*x*(1+x))/3)))
%Y A363478 Cf. A362771, A362773.
%K A363478 nonn
%O A363478 0,3
%A A363478 _Seiichi Manyama_, Aug 17 2023