The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A038130 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A038130

Beatty sequence for 2*Pi.
(history; published version)

#25 by N. J. A. Sloane at Sun Jul 07 20:58:01 EDT 2024

STATUS

proposed

approved

#24 by Stefano Spezia at Sat Jul 06 14:45:30 EDT 2024

STATUS

editing

proposed

#23 by Stefano Spezia at Sat Jul 06 14:45:28 EDT 2024

LINKS

<a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>.

STATUS

proposed

editing

#22 by Stefano Spezia at Sat Jul 06 14:45:15 EDT 2024

STATUS

editing

proposed

#21 by Stefano Spezia at Sat Jul 06 14:44:49 EDT 2024

COMMENTS

Complement a(n) = floor[circumference of a circle of A108586radius n]; a(n) = floor(2*Pi*n). - _Mohammad K. Azarian_, Feb 29 2008

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

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

MATHEMATICA

Table[Floor[2 n*Pi], {n, 0, 100}] (*A038130 or *)

Select[Range[0, 628], Sin[#] <= 0 && Sin[# + 1] >= 0 &] (*A038130 _Clark Kimberling_, Aug 24 2014 *)

(* Clark Kimberling, Aug 24 2014 *)

CROSSREFS

Complement of A108586.

STATUS

proposed

editing

#20 by Paolo Xausa at Sat Jul 06 14:10:39 EDT 2024

STATUS

editing

proposed

#19 by Paolo Xausa at Sat Jul 06 14:10:19 EDT 2024

COMMENTS

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

#18 by Paolo Xausa at Sat Jul 06 14:09:22 EDT 2024

COMMENTS

A038130 This sequence 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

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>.

CROSSREFS

Cf. A022844, A140758, A108592, A246388.

Cf. A038130.

STATUS

approved

editing

#17 by N. J. A. Sloane at Sun Aug 24 17:38:06 EDT 2014

STATUS

proposed

approved

#16 by Michel Marcus at Sun Aug 24 15:57:46 EDT 2014

STATUS

editing

proposed