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.

A260746 Number of prime juggling patterns of period n using 4 balls.

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%I A260746 #29 Jun 01 2024 06:17:56
%S A260746 1,4,19,83,391,1663,7739,33812,153575,677901,3075879,13586581,
%T A260746 61458267,272367077,1228519987,5456053443,24547516939,109153816505,
%U A260746 490067180301,2180061001275,9772927018285,43467641569472
%N A260746 Number of prime juggling patterns of period n using 4 balls.
%C A260746 A juggling pattern is prime if the closed walk corresponding to the pattern in the juggling state graph is a cycle.
%H A260746 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 A260746 Jack Boyce, <a href="https://github.com/jkboyce/jprime">jprime program</a>, 2024.
%H A260746 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 A260746 In siteswap notation, the prime juggling pattern(s) of length one is 4; of length two are 53, 62, 71 and 80; of length three are (11)01, (12)00, 660, 750, (10)11, (10)20, 390, 831, 822, 471, 561, 741, 723, 633, 642, 552, 912, 930 and 480.
%Y A260746 Cf. A260744, A260745, A260752.
%K A260746 nonn,more
%O A260746 1,2
%A A260746 _Jacob Landgraf_, Jul 30 2015
%E A260746 a(14) from _Roman Berens_, Mar 20 2021
%E A260746 a(15)-a(22) from _Jack Boyce_, May 31 2024