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 A362655 #16 Feb 16 2025 08:34:05
%S A362655 1,1,3,16,149,1656,22567,369664,7081209,155178928,3830958251,
%T A362655 105267080304,3187172910517,105437661606616,3784329536385231,
%U A362655 146474021771040856,6081955388047685873,269686446704697314016,12719466142269818201299
%N A362655 E.g.f. satisfies A(x) = exp( x * exp(x^3) * A(x) ).
%H A362655 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362655 E.g.f.: exp( -LambertW(-x * exp(x^3)) ).
%F A362655 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^k * (n-3*k+1)^(n-3*k-1) / (k! * (n-3*k)!).
%o A362655 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x*exp(x^3)))))
%Y A362655 Cf. A273954, A362654.
%Y A362655 Cf. A354553, A362674.
%K A362655 nonn
%O A362655 0,3
%A A362655 _Seiichi Manyama_, Apr 28 2023