A036416 Number of empty intervals when fractional_part(i*Pi) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions.

0, 1, 1, 1, 1, 0, 0, 1, 2, 3, 4, 4, 5, 7, 7, 7, 8, 9, 10, 11, 14, 12, 12, 14, 13, 14, 16, 21, 15, 17, 18, 16, 18, 19, 21, 20, 20, 21, 20, 22, 22, 23, 21, 22, 22, 23, 24, 25, 27, 21, 24, 24, 23, 25, 25, 28, 22, 25, 24, 26, 25, 25, 27, 21, 25, 24, 26, 24, 25, 25, 21, 24, 22, 23, 22

Offset

1,9

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Equidistributed Sequence.

Mathematica

Table[Length@Complement[Range[n] - 1, Floor[n*FractionalPart[Pi*Range[n]]]], {n, 75}] (* Ivan Neretin, Jan 23 2018 *)

Crossrefs

Cf. A036417 (positions of 0).

Cf. similar sequences with other constants: A036412 (e), A036414 (phi), A046157 (gamma).

Sequence in context: A261171 A330264 A356208 * A084618 A075518 A226429

Adjacent sequences: A036413 A036414 A036415 * A036417 A036418 A036419

Keyword

nonn

Author

Eric W. Weisstein

Status

approved