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A047729 Number of score sequences in tournament with n players, when 3 points are awarded in each game. 7
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; text; internal format)
OFFSET

1,2

REFERENCES

P. A. MacMahon, Chess tournaments and the like treated by the calculus o symmetric functions, Coll. Papers I, MIT Press, 344-375.

LINKS

Table of n, a(n) for n=1..21.

C. Bebeacua, T. Mansour, A. Postnikov and S. Severini, On the X-rays of permutations, arXiv:math/0506334 [math.CO], 2005.

Index entries for sequences related to tournaments

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.

CROSSREFS

Cf. A000571, A007747.

Sequence in context: A305547 A007857 A289541 * A020076 A317873 A289316

Adjacent sequences:  A047726 A047727 A047728 * A047730 A047731 A047732

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified October 23 17:19 EDT 2019. Contains 328373 sequences. (Running on oeis4.)