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 A368293 #6 Dec 20 2023 12:37:01
%S A368293 1,3,16,137,1572,22457,384934,7699449,176004376,4526214641,
%T A368293 129331581954,4065059876033,139385578253524,5177627842411065,
%U A368293 207123084913936174,8877473910719477033,405862594146337680816,19715036609777115714401,1014004150296746677804666
%N A368293 Expansion of e.g.f. exp(2*x) / (1 - x*exp(3*x)).
%F A368293 a(n) = n! * Sum_{k=0..n} (3*(n-k)+2)^k / k!.
%o A368293 (PARI) a(n) = n!*sum(k=0, n, (3*(n-k)+2)^k/k!);
%Y A368293 Cf. A336948, A368292.
%K A368293 nonn,easy
%O A368293 0,2
%A A368293 _Seiichi Manyama_, Dec 19 2023