A140758 a(n) = floor(n*Pi/2).

0, 1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 23, 25, 26, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 43, 45, 47, 48, 50, 51, 53, 54, 56, 58, 59, 61, 62, 64, 65, 67, 69, 70, 72, 73, 75, 76, 78, 80, 81, 83, 84, 86, 87, 89, 91, 92, 94, 95, 97, 98, 100, 102, 103, 105

Offset: 0

Author

Reinhard Zumkeller, May 27 2008

Keywords

• nonn

Comments

Beatty sequence for Pi/2; complement of A108589; not the same as A093610: a(23)=36 <> A093610(23)=35.

Examples

			For n = 5, 5*(Pi/2) approximately equals 7.854, and floor(7.854) = 7.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Beatty Sequence
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A022844, A038130, A108590.

Programs

Magma

R:= RealField(40); [Floor(n*Pi(R)/2): n in [0..80]]; // G. C. Greubel, Oct 21 2023

Mathematica

Floor[Pi*Range[0,80]/2] (* G. C. Greubel, Oct 21 2023 *)

Python

import math
x=0
while x < 36001:
    y = math.radians(x)
    z = math.trunc(y)
    print(z, end=", ")
    x += 90
# Mick Purcell (mickpurcell(AT)gmail.com), Oct 05 2009

SageMath

[floor(n*pi/2) for n in range(81)] # G. C. Greubel, Oct 21 2023

Extensions

0 added by Mick Purcell (mickpurcell(AT)gmail.com), Oct 05 2009