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A010794 a(n) = n!*(n+5)!/5!.

%I A010794 #30 Sep 13 2024 11:28:52
%S A010794 1,6,84,2016,72576,3628800,239500800,20118067200,2092278988800,
%T A010794 263627152588800,39544072888320000,6959756828344320000,
%U A010794 1419790392982241280000,332230951957844459520000,88373433220786626232320000,26512029966235987869696000000
%N A010794 a(n) = n!*(n+5)!/5!.
%H A010794 Vincenzo Librandi, <a href="/A010794/b010794.txt">Table of n, a(n) for n = 0..200</a>
%H A010794 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.
%F A010794 From _Amiram Eldar_, Sep 27 2022: (Start)
%F A010794 Sum_{n>=0} 1/a(n) = 120*BesselI(5,2).
%F A010794 Sum_{n>=0} (-1)^n/a(n) = 120*BesselJ(5,2). (End)
%F A010794 a(n) = 1/([x^n] hypergeom([], [6], x)). - _Peter Luschny_, Sep 13 2024
%p A010794 f := n->n!*(n+5)!/5!;
%t A010794 With[{c=5!},Table[(n!(n+5)!)/c,{n,0,20}]] (* _Harvey P. Dale_, Oct 03 2011 *)
%o A010794 (Magma) [Factorial(n)*Factorial(n+5) / Factorial(5): n in [0..20]]; // _Vincenzo Librandi_, Oct 04 2011
%o A010794 (PARI) a(n)=n!^2*binomial(n+5,5) \\ _Charles R Greathouse IV_, Oct 23 2023
%Y A010794 Cf. A010791, A010792, A010793, A010795.
%K A010794 nonn
%O A010794 0,2
%A A010794 _N. J. A. Sloane_
%E A010794 More terms from _Harvey P. Dale_, Oct 03 2011