A260744
Number of prime juggling patterns of period n using 2 balls.
Original entry on oeis.org
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
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.
- 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.
A260746
Number of prime juggling patterns of period n using 4 balls.
Original entry on oeis.org
1, 4, 19, 83, 391, 1663, 7739, 33812, 153575, 677901, 3075879, 13586581, 61458267, 272367077, 1228519987, 5456053443, 24547516939, 109153816505, 490067180301, 2180061001275, 9772927018285, 43467641569472
Offset: 1
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.
- Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf and Scarlitte Ponce, Counting prime juggling patterns, arXiv:1508.05296 [math.CO], 2015.
- Jack Boyce, jprime program, 2024.
- Fan Chung and R. L. Graham, Primitive juggling sequences, American Mathematical Monthly 115 (2008), 185-194.
A260752
Number of prime juggling patterns of period n using 5 balls.
Original entry on oeis.org
1, 5, 29, 157, 901, 4822, 27447, 149393, 836527, 4610088, 25846123, 142296551, 799268609, 4426204933, 24808065829, 137945151360, 773962487261, 4310815784117, 24208263855765
Offset: 1
In siteswap notation, the prime juggling pattern(s) of length one is 5; of length two are 64, 73, 82, 91 and (10)0; of length three are (11)31, (11)22, 4(10)1, 3(12)0, (13)20, (13)11, 591, (10)23, (10)41, 960, 780, 663, 744, 753, 4(11)0, (12)12, (12)30, 771, 861, (15)00, 933, 942, 582, (10)50, 690, (14)01, 852, 834 and 672.
- Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf and Scarlitte Ponce, Counting prime juggling patterns, arXiv:1508.05296 [math.CO], 2015.
- Jack Boyce, jprime program, 2024.
- Fan Chung and R. L. Graham, Primitive juggling sequences, American Mathematical Monthly 115 (2008), 185-194.
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