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Search: id:A047730
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| A047730 |
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Number of score sequences in tournament with n players, when 4 points are awarded in each game. |
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+0
5
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| 1, 3, 13, 76, 521, 3996, 32923, 286202, 2590347, 24203935, 232050202, 2272449745, 22653570386, 229274897514, 2350933487206, 24381053759852, 255382755251622, 2698732882975782, 28743579211912338
(list; graph; listen)
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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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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}) <= 4, p_i >= 0, i=1, ..., n.
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CROSSREFS
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Cf. A000571, A007747, A047729, A064626, A064422.
Sequence in context: A032036 A026072 A063646 this_sequence A059040 A074530 A032035
Adjacent sequences: A047727 A047728 A047729 this_sequence A047731 A047732 A047733
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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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