A284997 Ceiling(Gamma(n/3)).

3, 2, 1, 1, 1, 1, 2, 2, 2, 3, 5, 6, 10, 15, 24, 41, 69, 120, 215, 390, 720, 1356, 2594, 5040, 9941, 19885, 40320, 82835, 172329, 362880, 773119, 1665838, 3628800, 7988888, 17768939, 39916800, 90540730, 207304279, 479001600, 1116669004, 2625854189, 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) = ceiling(Gamma(n/3)).

Mathematica

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

Crossrefs

Cf. A000142, A284996.

Sequence in context: A344879 A090189 A227141 * A369367 A306709 A184532

Adjacent sequences: A284994 A284995 A284996 * A284998 A284999 A285000

Keyword

nonn,easy

Author

Clark Kimberling, Apr 08 2017

Status

approved