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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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7
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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
| 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
| 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
| Cf. A000571, A007747.
Sequence in context: A183908 A046814 A007857 * A020076 A020130 A159051
Adjacent sequences: A047726 A047727 A047728 * A047730 A047731 A047732
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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