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Search: id:A047729
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| A047729 |
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Number of score sequences in tournament with n players, when 3 points are awarded in each game. |
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+0
8
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| 1, 2, 8, 37, 198, 1178, 7548, 50944, 357855, 2595250, 19313372, 146815503, 1136158495, 8927025989, 71065654235, 572215412354, 4653746621835, 38184724333615, 315792633485360, 2630183440412617, 22046522161472304
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OFFSET
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1,2
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REFERENCES
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P. A. MacMahon, Chess tournaments and the like treated by the calculus o symmetric functions, Coll. Papers I, MIT Press, 344-375.
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LINKS
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C. Bebeacua, T. Mansour, A. Postnikov and S. Severini, On the x-rays of permutations
Index entries for sequences related to tournaments
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FORMULA
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Nonnegative integer points (p_1, p_2, ..., p_n) in polytope p_0=p_{n+1}=0, 2p_i -(p_{i+1}+p_{i-1}) <= 3, p_i >= 0, i=1, ..., n.
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CROSSREFS
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Cf. A000571, A007747.
Sequence in context: A055142 A046814 A007857 this_sequence A020076 A020130 A053520
Adjacent sequences: A047726 A047727 A047728 this_sequence A047730 A047731 A047732
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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