A360607 a(n) = (n + 1/3) * (3*n + 3)! / ((n + 1)!)^3.

2, 120, 3920, 115500, 3279276, 91483392, 2527462080, 69413752980, 1898945262500, 51809303385840, 1410778953118080, 38360293308573600, 1041896542898685600, 28274302212143040000, 766761376923703054080, 20781963787558897929060, 563007692048242597348500, 15246741943087253044446000

Offset

0,1

Links

Table of n, a(n) for n=0..17.

Maple

a := n -> (n + 1/3)*(3*n + 3)!/(n + 1)!^3: seq(a(n), n = 0..17);

Crossrefs

Family: A000027 (m=1), A257589 (m=2), this sequence (m=3).

Sequence in context: A073785 A102355 A206355 * A157069 A362459 A077540

Adjacent sequences: A360604 A360605 A360606 * A360608 A360609 A360610

Keyword

nonn

Author

Peter Luschny, Feb 15 2023

Status

approved