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 A362656 #16 Feb 16 2025 08:34:05
%S A362656 1,1,9,145,3569,119041,5025145,256991953,15448193633,1067634195841,
%T A362656 83414064659561,7270683884044945,699503964027087697,
%U A362656 73631519384051331457,8417768844410686595801,1038658083084399115865041,137579671405398060549801665
%N A362656 E.g.f. satisfies A(x) = exp( x * exp(x) * A(x)^3 ).
%H A362656 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362656 E.g.f.: exp( -LambertW(-3*x * exp(x))/3 ).
%F A362656 a(n) = Sum_{k=0..n} k^(n-k) * (3*k+1)^(k-1) * binomial(n,k).
%o A362656 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-3*x*exp(x))/3)))
%Y A362656 Cf. A273954, A360473, A362671, A362672.
%Y A362656 Cf. A052752.
%K A362656 nonn
%O A362656 0,3
%A A362656 _Seiichi Manyama_, Apr 28 2023