A260744 Number of prime juggling patterns of period n using 2 balls.

1, 2, 5, 10, 23, 48, 105, 216, 467, 958, 2021, 4146, 8631, 17604, 36377, 73876, 151379, 306882, 625149, 1263294, 2563895, 5169544, 10454105, 21046800, 42451179, 85334982, 171799853, 344952010, 693368423, 1391049900, 2792734257

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

Cf. A260745, A260746, A260752.

Sequence in context: A365376 A291249 A365441 * A317535 A087640 A116953

Adjacent sequences: A260741 A260742 A260743 * A260745 A260746 A260747

Keyword

nonn

Author

Scarlitte Ponce, Jul 30 2015

Status

approved