A284994 Floor(Gamma(n/2)).

1, 1, 0, 1, 1, 2, 3, 6, 11, 24, 52, 120, 287, 720, 1871, 5040, 14034, 40320, 119292, 362880, 1133278, 3628800, 11899423, 39916800, 136843365, 479001600, 1710542068, 6227020800, 23092317922, 87178291200, 334838609873, 1307674368000, 5189998453040

Offset

1,6

Comments

The bisections are A000142 (factorials) and A014510.

Links

Clark Kimberling, Table of n, a(n) for n = 1..500

Formula

a(n) = floor(Gamma(n/2)).

Example

Let s = sqrt(Pi); for n>=1, gamma(n/2) takes the values s, 1, s/2, 1, 3s/4, 2, 15s/8, 6, so that a(n) begins with 1,1,0,1,1,2,3,6.

Mathematica

Table[Floor[Gamma[n/2]], {n, 1, 35}]

Crossrefs

Cf. A000142, A014510, A284995.

Sequence in context: A072374 A122852 A192573 * A107113 A156807 A032256

Adjacent sequences: A284991 A284992 A284993 * A284995 A284996 A284997

Keyword

nonn,easy

Author

Clark Kimberling, Apr 08 2017

Status

approved