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 A368788 #7 Jan 06 2024 09:22:16 %S A368788 0,1,13,469,37521,5628151,1418294053,555971268777,320239450815553, %T A368788 259393955160597931,285333350676657724101,414304025182507015394653, %U A368788 775577135141653132818790417,1835015501745151312249258126623 %N A368788 a(n) = (n+1) * (n!)^3 * Sum_{k=1..n} 1/((k+1) * (k!)^3). %F A368788 a(0) = 0; a(n) = (n+1) * n^2 * a(n-1) + 1. %F A368788 a(n) = A368775(n) - (n+1) * (n!)^3. %o A368788 (PARI) a(n) = (n+1)*n!^3*sum(k=1, n, 1/((k+1)*k!^3)); %Y A368788 Cf. A368769, A368789. %Y A368788 Cf. A368775. %K A368788 nonn %O A368788 0,3 %A A368788 _Seiichi Manyama_, Jan 05 2024