A284996 Floor(Gamma(n/3)).

2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 4, 6, 9, 14, 24, 40, 68, 120, 214, 389, 720, 1355, 2593, 5040, 9940, 19884, 40320, 82834, 172328, 362880, 773118, 1665837, 3628800, 7988887, 17768938, 39916800, 90540729, 207304278, 479001600, 1116669003, 2625854188, 6227020800

Offset

1,1

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(n/3)).

Mathematica

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

Crossrefs

Cf. A000142, A284997.

Sequence in context: A016004 A327802 A359249 * A215029 A362832 A368751

Adjacent sequences: A284993 A284994 A284995 * A284997 A284998 A284999

Keyword

nonn,easy

Author

Clark Kimberling, Apr 08 2017

Status

approved