A038130 Beatty sequence for 2*Pi.

0, 6, 12, 18, 25, 31, 37, 43, 50, 56, 62, 69, 75, 81, 87, 94, 100, 106, 113, 119, 125, 131, 138, 144, 150, 157, 163, 169, 175, 182, 188, 194, 201, 207, 213, 219, 226, 232, 238, 245, 251, 257, 263, 270, 276, 282, 289, 295, 301, 307, 314, 320, 326, 333, 339, 345

Offset

0,2

Comments

Complement of A108586.

a(n) = floor[circumference of a circle of radius n]; a(n)=floor[2*Pi*n] - Mohammad K. Azarian, Feb 29 2008

A038130 consists of the nonnegative integers k satisfying sin(k) <= 0 and sin(k+1) >=0; thus A038130 and A246388 partition A022844 (the Beatty sequence for Pi). - Clark Kimberling, Aug 24 2014

Links

Table of n, a(n) for n=0..55.

Index entries for sequences related to Beatty sequences

Formula

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

Mathematica

Table[Floor[2 n*Pi], {n, 0, 100}] (*A038130*)
Select[Range[0, 628], Sin[#] <= 0 && Sin[# + 1] >= 0 &]  (*A038130*)
(* Clark Kimberling, Aug 24 2014 *)

Crossrefs

Cf. A022844, A140758, A108592.

Cf. A038130.

Sequence in context: A108592 A108593 A172331 * A246295 A108587 A079424

Adjacent sequences: A038127 A038128 A038129 * A038131 A038132 A038133

Keyword

nonn

Author

Felice Russo

Extensions

More terms from Mohammad K. Azarian, Feb 29 2008

Status

approved