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

Steve Butler, Table of n, a(n) for n = 1..135

Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf, 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 2; of length two are 31 and 40; of length three are 330, 411, 420, 501, 600.

CROSSREFS

KEYWORD

nonn

AUTHOR

Scarlitte Ponce, Jul 30 2015

STATUS

approved