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A010793
a(n) = n!*(n+4)! / 4!.
5
1, 5, 60, 1260, 40320, 1814400, 108864000, 8382528000, 804722688000, 94152554496000, 13181357629440000, 2174924008857600000, 417585409700659200000, 92286375543845683200000, 23256166637049112166400000, 6628007491558996967424000000
OFFSET
0,2
FORMULA
From Amiram Eldar, Sep 27 2022: (Start)
Sum_{n>=0} 1/a(n) = 24*BesselI(4,2).
Sum_{n>=0} (-1)^n/a(n) = 24*BesselJ(4,2). (End)
a(n) = 1/([x^n] hypergeom([], [5], x)). - Peter Luschny, Sep 13 2024
MAPLE
f := n->n!*(n+4)!/4!;
MATHEMATICA
Table[n! * (n + 4)!/24, {n, 0, 20}] (* Amiram Eldar, Sep 27 2022 *)
PROG
(PARI) a(n) = n!*(n+4)! / 4!; \\ Michel Marcus, Mar 30 2023
CROSSREFS
KEYWORD
nonn
STATUS
approved