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 A036416 #15 Feb 16 2025 08:32:37 %S A036416 0,1,1,1,1,0,0,1,2,3,4,4,5,7,7,7,8,9,10,11,14,12,12,14,13,14,16,21,15, %T A036416 17,18,16,18,19,21,20,20,21,20,22,22,23,21,22,22,23,24,25,27,21,24,24, %U A036416 23,25,25,28,22,25,24,26,25,25,27,21,25,24,26,24,25,25,21,24,22,23,22 %N A036416 Number of empty intervals when fractional_part(i*Pi) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions. %H A036416 Ivan Neretin, <a href="/A036416/b036416.txt">Table of n, a(n) for n = 1..10000</a> %H A036416 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EquidistributedSequence.html">Equidistributed Sequence.</a> %t A036416 Table[Length@Complement[Range[n] - 1, Floor[n*FractionalPart[Pi*Range[n]]]], {n, 75}] (* _Ivan Neretin_, Jan 23 2018 *) %Y A036416 Cf. A036417 (positions of 0). %Y A036416 Cf. similar sequences with other constants: A036412 (e), A036414 (phi), A046157 (gamma). %K A036416 nonn %O A036416 1,9 %A A036416 _Eric W. Weisstein_