A285000 Floor(Gamma(n/4)).

3, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 4, 6, 8, 11, 16, 24, 35, 52, 78, 120, 184, 287, 453, 720, 1155, 1871, 3057, 5040, 8376, 14034, 23698, 40320, 69106, 119292, 207358, 362880, 639232, 1133278, 2021746, 3628800, 6552134, 11899423, 21733773, 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) = floor(Gamma(n/4)).

Mathematica

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

Crossrefs

Cf. A000142, A285001.

Sequence in context: A289978 A185983 A179742 * A321444 A338889 A104608

Adjacent sequences: A284997 A284998 A284999 * A285001 A285002 A285003

Keyword

nonn,easy

Author

Clark Kimberling, Apr 08 2017

Status

approved