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.

A260745 Number of prime juggling patterns of period n using 3 balls.

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%I A260745 #35 Jun 01 2024 06:18:27
%S A260745 1,3,11,36,127,405,1409,4561,15559,50294,169537,551001,1835073,
%T A260745 5947516,19717181,63697526,209422033,676831026,2208923853,7112963260,
%U A260745 23127536979,74225466424,239962004807,768695233371,2473092566267,7896286237030,25316008015581,80572339461372
%N A260745 Number of prime juggling patterns of period n using 3 balls.
%C A260745 A juggling pattern is prime if the closed walk corresponding to the pattern in the juggling state graph is a cycle.
%H A260745 Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf and Scarlitte Ponce, <a href="http://arxiv.org/abs/1508.05296">Counting prime juggling patterns</a>, arXiv:1508.05296 [math.CO], 2015.
%H A260745 Jack Boyce, <a href="https://github.com/jkboyce/jprime">jprime program</a>, 2024.
%H A260745 Fan Chung and R. L. Graham, <a href="http://www.jstor.org/stable/27642443">Primitive juggling sequences</a>, American Mathematical Monthly 115 (2008), 185-194.
%e A260745 In siteswap notation, the prime juggling pattern(s) of length one is 3; of length two are 42, 51 and 60; of length three are 441, 522, 531, 450, 612, 630, 360, 711, 720, 801 and 900.
%Y A260745 Cf. A260744, A260746, A260752.
%K A260745 nonn,more
%O A260745 1,2
%A A260745 _Esther Banaian_, Jul 30 2015
%E A260745 a(14)-a(17) from _Roman Berens_, Mar 20 2021
%E A260745 a(18)-a(28) from _Jack Boyce_, May 31 2024