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A010794
a(n) = n!*(n+5)!/5!.
5
1, 6, 84, 2016, 72576, 3628800, 239500800, 20118067200, 2092278988800, 263627152588800, 39544072888320000, 6959756828344320000, 1419790392982241280000, 332230951957844459520000, 88373433220786626232320000, 26512029966235987869696000000
OFFSET
0,2
FORMULA
From Amiram Eldar, Sep 27 2022: (Start)
Sum_{n>=0} 1/a(n) = 120*BesselI(5,2).
Sum_{n>=0} (-1)^n/a(n) = 120*BesselJ(5,2). (End)
a(n) = 1/([x^n] hypergeom([], [6], x)). - Peter Luschny, Sep 13 2024
MAPLE
f := n->n!*(n+5)!/5!;
MATHEMATICA
With[{c=5!}, Table[(n!(n+5)!)/c, {n, 0, 20}]] (* Harvey P. Dale, Oct 03 2011 *)
PROG
(Magma) [Factorial(n)*Factorial(n+5) / Factorial(5): n in [0..20]]; // Vincenzo Librandi, Oct 04 2011
(PARI) a(n)=n!^2*binomial(n+5, 5) \\ Charles R Greathouse IV, Oct 23 2023
CROSSREFS
KEYWORD
nonn
EXTENSIONS
More terms from Harvey P. Dale, Oct 03 2011
STATUS
approved