cp's OEIS Frontend

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.

A036417 Values of k for which there are no empty intervals when fractional part(m*Pi) for m = 1, ..., k is plotted along [ 0, 1 ] subdivided into k equal regions.

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%I A036417 #30 Feb 16 2025 08:32:37
%S A036417 1,6,7,106,112,113,33102,33215,66317,99532,165849,265381,364913
%N A036417 Values of k for which there are no empty intervals when fractional part(m*Pi) for m = 1, ..., k is plotted along [ 0, 1 ] subdivided into k equal regions.
%C A036417 Appears to include all the denominators of the convergents of Pi A002486. - _Eric W. Weisstein_, Apr 18 2024
%C A036417 No other terms with n <= 10^6. - _Eric W. Weisstein_, Apr 27 2024
%H A036417 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EquidistributedSequence.html">Equidistributed Sequence</a>.
%H A036417 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Pi.html">Pi</a>.
%t A036417 With[{f = FractionalPart[Pi 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 A036417 Cf. A036416.
%Y A036417 Cf. A002486 (denominators of the convergents of Pi).
%K A036417 nonn,more
%O A036417 1,2
%A A036417 _Eric W. Weisstein_
%E A036417 a(9)-a(10) from _Sean A. Irvine_, Oct 31 2020
%E A036417 a(11)-a(13) from _Eric W. Weisstein_, Apr 18-19 2024