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 A010793 #30 Sep 13 2024 11:29:19 %S A010793 1,5,60,1260,40320,1814400,108864000,8382528000,804722688000, %T A010793 94152554496000,13181357629440000,2174924008857600000, %U A010793 417585409700659200000,92286375543845683200000,23256166637049112166400000,6628007491558996967424000000 %N A010793 a(n) = n!*(n+4)! / 4!. %H A010793 Delbert L. Johnson, <a href="/A010793/b010793.txt">Table of n, a(n) for n = 0..251</a> %H A010793 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>. %F A010793 From _Amiram Eldar_, Sep 27 2022: (Start) %F A010793 Sum_{n>=0} 1/a(n) = 24*BesselI(4,2). %F A010793 Sum_{n>=0} (-1)^n/a(n) = 24*BesselJ(4,2). (End) %F A010793 a(n) = 1/([x^n] hypergeom([], [5], x)). - _Peter Luschny_, Sep 13 2024 %p A010793 f := n->n!*(n+4)!/4!; %t A010793 Table[n! * (n + 4)!/24, {n, 0, 20}] (* _Amiram Eldar_, Sep 27 2022 *) %o A010793 (PARI) a(n) = n!*(n+4)! / 4!; \\ _Michel Marcus_, Mar 30 2023 %Y A010793 Cf. A010791, A010792, A010794, A010795. %K A010793 nonn %O A010793 0,2 %A A010793 _N. J. A. Sloane_