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Search: id:A039720
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| A039720 |
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Period of n-countdown club-passing juggling pattern. |
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+0
1
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| 6, 8, 30, 24, 70, 48, 126, 80, 198, 120, 286, 168, 390, 224, 510, 288, 646, 360, 798, 440, 966, 528, 1150, 624, 1350, 728, 1566, 840, 1798, 960, 2046, 1088, 2310, 1224, 2590, 1368, 2886, 1520, 3198, 1680, 3526, 1848, 3870, 2024, 4230, 2208, 4606, 2400
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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Tarim's countdown: 2 people pass clubs to each other after n throws, then n-1 throws, then n-2, ..., 2, 1, 2, ... n-1. Thus for 3-countdown it is 3,2,1,2 (and repeat), or put in terms of pass throws and self-throws, pass-self-self-pass-self-pass-pass-self and repeat.
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LINKS
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Rob Street, An article in rec.juggling
Tarim, An article in rec.juggling
Martin Frost, An article in rec.juggling
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FORMULA
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a(n) = n^2-1 for n odd, = 2(n^2-1) for n even.
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EXAMPLE
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a(6) = 70 because 6^2 - 1 = 35 is odd, so it is doubled to 70 because the passing pattern must begin and end with same hand.
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CROSSREFS
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Sequence in context: A066231 A007829 A000773 this_sequence A056097 A099431 A076904
Adjacent sequences: A039717 A039718 A039719 this_sequence A039721 A039722 A039723
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KEYWORD
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easy,nonn,nice
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AUTHOR
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Mark Tillotson (markt(AT)chaos.org.uk)
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