A325210 Numbers k such that Gamma(k - 1/2) has fractional part > 1/2.

1, 2, 5, 7, 16, 22, 23, 27, 28, 29, 30, 34, 35, 38, 40, 43, 44, 45, 47, 50, 52, 54, 55, 57, 58, 59, 60, 64, 65, 67, 68, 72, 73, 78, 82, 88, 90, 91, 92, 93, 95, 96, 99, 101, 107, 108, 112, 113, 114, 116, 117, 118, 119, 122, 124, 125, 128, 129, 130, 131, 132, 133, 134, 140, 142, 143, 144, 147, 154, 160, 162, 164, 167

Offset

1,2

Comments

Complement of A325209.

Links

Table of n, a(n) for n=1..73.

Example

1.77245, 0.886227, 1.32934, 3.32335, 11.6317, 52.3428.
Exact values are v, v/2, 3v/4, 15v/8, ..., where v = sqrt(Pi) = A002161.

Mathematica

t[n_] := N[Gamma[n - 1/2], 300] ; r = Range[200];
Select[r, FractionalPart[t[#]] < 1/2 &]  (* A325209 *)
Select[r, FractionalPart[t[#]] > 1/2 &]  (* A325210 *)

Crossrefs

Cf. A000142, A002161, A325209.

Sequence in context: A207035 A322440 A067580 * A181447 A082088 A075881

Adjacent sequences: A325207 A325208 A325209 * A325211 A325212 A325213

Keyword

nonn

Author

Clark Kimberling, Apr 09 2019

Status

approved