A284998 Floor(Gamma(2n/3)).

1, 0, 1, 1, 2, 6, 14, 40, 120, 389, 1355, 5040, 19884, 82834, 362880, 1665837, 7988887, 39916800, 207304278, 1116669003, 6227020800, 35886673906, 213407853922, 1307674368000, 8245960182038, 53446811415729, 355687428096000, 2427977164711192, 16984208960998389

Offset

1,5

Comments

There are two integer-valued interpolations between successive factorials.

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Formula

a(n) = floor(Gamma(2n/3)).

Mathematica

Table[Floor[Gamma[2n/3]], {n, 1, 35}]

Crossrefs

Cf. A000142, A284999.

Sequence in context: A348010 A271895 A151538 * A009423 A008325 A004066

Adjacent sequences: A284995 A284996 A284997 * A284999 A285000 A285001

Keyword

nonn,easy

Author

Clark Kimberling, Apr 08 2017

Status

approved