A285003 a(n) = ceiling(Gamma(3n/4)).

2, 1, 2, 2, 5, 12, 36, 120, 454, 1872, 8377, 40320, 207359, 1133279, 6552135, 39916800, 255371836, 1710542069, 11964299313, 87178291200, 660355655454, 5189998453041, 42249866656928, 355687428096000, 3092228855290535, 27724322986333719, 256040133328476466

Offset

1,1

Comments

There are three integer-valued interpolations between successive factorials.

Links

Clark Kimberling, Table of n, a(n) for n = 1..600

Formula

a(n) = ceiling(Gamma(3n/4)).

Maple

seq(ceil(GAMMA(3*n/4)), n=1..50); # Robert Israel, Apr 19 2017

Mathematica

Table[Ceiling[Gamma[3n/4]], {n, 1, 35}]

Crossrefs

Cf. A000142, A285002.

Sequence in context: A214968 A340059 A095291 * A364872 A284002 A093659

Adjacent sequences: A285000 A285001 A285002 * A285004 A285005 A285006

Keyword

nonn,easy

Author

Clark Kimberling, Apr 17 2017

Status

approved