A285001 Ceiling(Gamma(n/4)).

4, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 5, 6, 9, 12, 17, 24, 36, 53, 79, 120, 185, 288, 454, 720, 1156, 1872, 3058, 5040, 8377, 14035, 23699, 40320, 69107, 119293, 207359, 362880, 639233, 1133279, 2021747, 3628800, 6552135, 11899424, 21733774, 39916800

Offset

1,1

Comments

There are three integer-valued interpolations between successive factorials.

Links

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

Formula

a(n) = ceiling(Gamma(n/4)).

Mathematica

Table[Ceiling[Gamma[n/4]], {n, 1, 35}]

Prog

(PARI) a(n) = ceil(gamma(n/4)); \\ Michel Marcus, Apr 17 2017

Crossrefs

Cf. A000142, A285000.

Sequence in context: A298906 A004551 A284398 * A016511 A250623 A123402

Adjacent sequences: A284998 A284999 A285000 * A285002 A285003 A285004

Keyword

nonn,easy

Author

Clark Kimberling, Apr 17 2017

Status

approved