A036412 Number of empty intervals when fractional_part(i*e) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions.

0, 0, 0, 0, 1, 0, 0, 1, 1, 3, 1, 4, 4, 7, 5, 5, 6, 4, 4, 6, 7, 6, 8, 5, 2, 6, 4, 5, 3, 4, 3, 0, 3, 2, 0, 3, 3, 3, 0, 4, 4, 5, 6, 5, 6, 7, 8, 8, 8, 9, 8, 8, 7, 8, 8, 8, 9, 8, 8, 7, 6, 7, 6, 1, 5, 4, 4, 3, 2, 2, 0, 5, 4, 3, 5, 5, 6, 2, 8, 9, 9, 10, 11, 9, 11, 13, 16, 14, 16, 16, 17, 17, 18, 18, 20

Offset

1,10

Links

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

Eric Weisstein's World of Mathematics, Equidistributed Sequence.

Eric Weisstein's World of Mathematics, Golden Ratio.

Mathematica

Table[Length@Complement[Range[n] - 1, Floor[n*FractionalPart[E*Range[n]]]], {n, 95}] (* Ivan Neretin, Jan 23 2018 *)

Crossrefs

Cf. A036413 (positions of 0).

Cf. similar sequences with other constants: A036414 (phi), A036416 (Pi), A046157 (gamma).

Cf. A001113.

Sequence in context: A202142 A021322 A277129 * A363569 A200027 A370807

Adjacent sequences: A036409 A036410 A036411 * A036413 A036414 A036415

Keyword

nonn

Author

Eric W. Weisstein

Status

approved