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 A036412 #18 Feb 16 2025 08:32:37
%S A036412 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,
%T A036412 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,
%U A036412 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
%N A036412 Number of empty intervals when fractional_part(i*e) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions.
%H A036412 Ivan Neretin, <a href="/A036412/b036412.txt">Table of n, a(n) for n = 1..10000</a>
%H A036412 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EquidistributedSequence.html">Equidistributed Sequence.</a>
%H A036412 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GoldenRatio.html">Golden Ratio.</a>
%t A036412 Table[Length@Complement[Range[n] - 1, Floor[n*FractionalPart[E*Range[n]]]], {n, 95}] (* _Ivan Neretin_, Jan 23 2018 *)
%Y A036412 Cf. A036413 (positions of 0).
%Y A036412 Cf. similar sequences with other constants: A036414 (phi), A036416 (Pi), A046157 (gamma).
%Y A036412 Cf. A001113.
%K A036412 nonn
%O A036412 1,10
%A A036412 _Eric W. Weisstein_