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 A368789 #8 Jan 06 2024 09:22:12
%S A368789 0,1,19,913,91301,16434181,4831649215,2164578848321,1402647093712009,
%T A368789 1262382384340808101,1527482685052377802211,2419532573122966438702225,
%U A368789 4906812058293375937688112301,12502557124531521889229310142949
%N A368789 a(n) = (n+1)^2 * (n!)^3 * Sum_{k=1..n} 1/((k+1)^2 * (k!)^3).
%F A368789 a(0) = 0; a(n) = (n+1)^2 * n * a(n-1) + 1.
%F A368789 a(n) = A368776(n) - (n+1)^2 * (n!)^3.
%o A368789 (PARI) a(n) = (n+1)^2*n!^3*sum(k=1, n, 1/((k+1)^2*k!^3));
%Y A368789 Cf. A368769, A368788.
%Y A368789 Cf. A368776.
%K A368789 nonn
%O A368789 0,3
%A A368789 _Seiichi Manyama_, Jan 05 2024