A020090 Integer part of Gamma(n+1/2)/Gamma(1/2).

1, 0, 0, 1, 6, 29, 162, 1055, 7918, 67303, 639383, 6713530, 77205601, 965070017, 13028445231, 188912455860, 2928143065834, 48314360586264, 845501310259627, 15641774239803107, 305014597676160593, 6252799252361292173

Offset

0,5

Links

G. C. Greubel, Table of n, a(n) for n = 0..449

Maple

Digits:= 64: x:=1/2: f:= proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;

Mathematica

Table[IntegerPart[Pochhammer[1/2, n]], {n, 0, 30}] (* G. C. Greubel, Nov 19 2018 *)

Prog

(PARI) default(realprecision, 100); for(n=0, 30, print1(truncate( gamma(n+1/2)/gamma(1/2)), ", ")) \\ G. C. Greubel, Nov 19 2018
(Magma) [Truncate(Gamma(n + 1/2)/Gamma(1/2)): n in [0..30]]; // G. C. Greubel, Nov 19 2018
(Sage) [int(gamma(n + 1/2)/gamma(1/2)) for n in range(30)] # G. C. Greubel, Nov 19 2018

Crossrefs

Cf. A020045, A020135.

Sequence in context: A000708 A027248 A192481 * A020036 A294312 A054748

Adjacent sequences: A020087 A020088 A020089 * A020091 A020092 A020093

Keyword

nonn

Author

Simon Plouffe

Status

approved