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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.
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%I #31 May 10 2024 16:52:47

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

%T 500967,559595

%N 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.

%C No others with n <= 10^6. - _Eric W. Weisstein_, Apr 26 2024

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EquidistributedSequence.html">Equidistributed Sequence</a>

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Euler-MascheroniConstant.html">Euler-Mascheroni Constant</a>

%t 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 *)

%Y Cf. A046157.

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

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

%K nonn,more

%O 1,2

%A _Eric W. Weisstein_

%E a(19) from _Sean A. Irvine_, Nov 01 2020

%E a(20)-a(21) from _Eric W. Weisstein_, Apr 26 2024