A134370 a(n) = ((2n+1)!)^(n+2).

1, 216, 207360000, 3252016064102400000, 2283380023591730815784976384000000, 161469323688736156802100136913438716723200000000000000, 2260697901194635682690248130915498742378267539496871953338204160000000000000000

Offset

0,2

Links

Table of n, a(n) for n=0..6.

Formula

a(n) ~ 2^(2*(n+1)*(n+2)) * exp(13/24 - 2*n*(n+2)) * n^((n+2)*(4*n+3)/2) * Pi^(n/2 + 1). - Vaclav Kotesovec, Oct 26 2017

Mathematica

Table[((2n+1)!)^(n + 2), {n, 0, 10}]

Crossrefs

Cf. A000142, A001044, A000442, A036740, A134366, A134367, A134368, A134369, A134371, A134374, A134375.

Sequence in context: A100509 A013840 A253780 * A325945 A038661 A044877

Adjacent sequences: A134367 A134368 A134369 * A134371 A134372 A134373

Keyword

nonn,changed

Author

Artur Jasinski, Oct 22 2007

Extensions

Typo in a(6) corrected by Georg Fischer, Apr 10 2024

Status

approved