A046158 Values of n for which there are no empty intervals when frac(m*gamma) for m = 1, ..., n is plotted along [0, 1] subdivided into n equal regions.

1, 2, 3, 5, 6, 7, 12, 19, 26, 97, 123, 149, 272, 395, 5258, 5653, 26685, 31943, 58628, 500967, 559595

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• more

Comments

No others with n <= 10^6. - Eric W. Weisstein, Apr 26 2024

Links

• Eric Weisstein's World of Mathematics, Equidistributed Sequence
• Eric Weisstein's World of Mathematics, Euler-Mascheroni Constant

Crossrefs

Cf. A046157.

Cf. A046115 (denominators of the convergents to the Euler-Mascheroni constant).

Corresponding sequences for other constants: A036413 (e), A036415 (phi), A036417 (Pi).

Programs

Mathematica

With[{f = FractionalPart[EulerGamma Range[1000]]}, Position[Table[Count[BinCounts[Take[f, n], {0., 1, 1/n}], 0], {n, Length[f]}], 0]] // Flatten (* Eric W. Weisstein, Apr 27 2024 *)

Extensions

a(19) from Sean A. Irvine, Nov 01 2020

a(20)-a(21) from Eric W. Weisstein, Apr 26 2024