This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A036413 #28 Feb 16 2025 08:32:37
%S A036413 1,2,3,4,6,7,32,35,39,71,465,536,1001,8544,9545,18089,190435,208524,
%T A036413 398959
%N A036413 Values of k for which there are no empty intervals when fractional_part(m*e) for m = 1, ..., k is plotted along [ 0, 1 ] subdivided into k equal regions.
%C A036413 The sequence is infinite since it contains all denominators of continued fraction convergents of e. The next such denominator is 190435, but it has yet to be proved that there are no other terms before it. - _Ivan Neretin_, Jan 23 2018
%C A036413 a(17) = 190435 verified as the next term. - _Sean A. Irvine_, Oct 31 2020
%C A036413 No other terms < 10^6. - _Eric W. Weisstein_, Apr 21 2024
%H A036413 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/E.html">E</a>.
%H A036413 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EquidistributedSequence.html">Equidistributed Sequence</a>.
%t A036413 With[{f = FractionalPart[E 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 A036413 Cf. A036412.
%Y A036413 Cf. A007677 (denominators of convergents to e).
%K A036413 nonn,more
%O A036413 1,2
%A A036413 _Eric W. Weisstein_
%E A036413 a(17) from _Sean A. Irvine_, Oct 31 2020
%E A036413 a(18)-a(19) from _Eric W. Weisstein_, Apr 19 2024