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 A292889 #34 Jul 10 2022 09:41:24
%S A292889 1,0,0,6,24,60,480,5250,40656,302904,3024720,35260830,400499880,
%T A292889 4619610996,58758862344,813678468330,11686918766880,173172973038960,
%U A292889 2695921067029536,44219170187746614,755363769931590840,13351503268881437100,244634794020399856920
%N A292889 Expansion of e.g.f. exp(x^3 * exp(x)).
%H A292889 Seiichi Manyama, <a href="/A292889/b292889.txt">Table of n, a(n) for n = 0..498</a>
%F A292889 a(n) = n! * Sum_{k=0..floor(n/3)} k^(n-3*k)/(k! * (n-3*k)!). - _Seiichi Manyama_, Jul 10 2022
%o A292889 (PARI) x='x+O('x^66); Vec(serlaplace(exp(x^3*exp(x))))
%o A292889 (PARI) a(n) = n!*sum(k=0, n\3, k^(n-3*k)/(k!*(n-3*k)!)); \\ _Seiichi Manyama_, Jul 10 2022
%Y A292889 Column k=3 of A292978.
%Y A292889 Cf. A145453, A292891, A292908.
%K A292889 nonn
%O A292889 0,4
%A A292889 _Seiichi Manyama_, Sep 26 2017