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A260746 Number of prime juggling patterns of period n using 4 balls. 3
1, 4, 19, 83, 391, 1663, 7739, 33812, 153575, 677901, 3075879, 13586581, 61458267, 272367077 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
A juggling pattern is prime if the closed walk corresponding to the pattern in the juggling state graph is a cycle.
LINKS
Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf and Scarlitte Ponce, Counting prime juggling patterns, arXiv:1508.05296 [math.CO], 2015.
Fan Chung and R. L. Graham, Primitive juggling sequences, American Mathematical Monthly 115 (2008), 185-194.
EXAMPLE
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.
CROSSREFS
Sequence in context: A017961 A180146 A017962 * A290667 A357572 A291416
KEYWORD
nonn,more
AUTHOR
Jacob Landgraf, Jul 30 2015
EXTENSIONS
a(14) from Roman Berens, Mar 20 2021
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)