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 A382044 #10 Mar 13 2025 09:52:07
%S A382044 1,1,12,252,8096,352120,19372512,1290832480,101078857728,
%T A382044 9098805892608,925857411706880,105098610198360064,
%U A382044 13167689873652178944,1804954814456584081408,268702350796640969736192,43172786067215188056023040,7446421094705349321120677888,1372319952106065844255081037824
%N A382044 E.g.f. A(x) satisfies A(x) = 1 + x*A(x)^4*exp(2*x*A(x)).
%F A382044 a(n) = n! * Sum_{k=0..n} (2*k)^(n-k) * binomial(n+3*k+1,k)/((n+3*k+1) * (n-k)!).
%o A382044 (PARI) a(n) = n!*sum(k=0, n, (2*k)^(n-k)*binomial(n+3*k+1, k)/((n+3*k+1)*(n-k)!));
%Y A382044 Cf. A366232, A379690, A382043.
%Y A382044 Cf. A365175, A382031.
%K A382044 nonn
%O A382044 0,3
%A A382044 _Seiichi Manyama_, Mar 13 2025