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 A364987 #15 Nov 11 2024 13:09:25
%S A364987 1,1,10,183,5140,196005,9468486,554425963,38171336680,3022130473065,
%T A364987 270537702834250,27021535857472431,2979254055371578524,
%U A364987 359411244032212931533,47093111659782104431438,6660135357832421444841555,1011181346455643980818939856
%N A364987 E.g.f. satisfies A(x) = 1 + x*exp(x)*A(x)^4.
%F A364987 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(4*k+1,k)/( (4*k+1)*(n-k)! ) = n! * Sum_{k=0..n} k^(n-k) * A002293(k)/(n-k)!.
%F A364987 a(n) ~ 2*sqrt(1 + LambertW(27/256)) * n^(n-1) / (3^(3/2) * exp(n) * LambertW(27/256)^n). - _Vaclav Kotesovec_, Nov 11 2024
%o A364987 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(4*k, k)/((3*k+1)*(n-k)!));
%Y A364987 Cf. A006153, A295238, A364983.
%Y A364987 Cf. A002293, A349331.
%K A364987 nonn
%O A364987 0,3
%A A364987 _Seiichi Manyama_, Aug 15 2023