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A260746
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Number of prime juggling patterns of period n using 4 balls.
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3
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1, 4, 19, 83, 391, 1663, 7739, 33812, 153575, 677901, 3075879, 13586581, 61458267, 272367077
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OFFSET
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1,2
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COMMENTS
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A juggling pattern is prime if the closed walk corresponding to the pattern in the juggling state graph is a cycle.
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LINKS
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Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf and Scarlitte Ponce, Counting prime juggling patterns, arXiv:1508.05296 [math.CO], 2015.
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EXAMPLE
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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.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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