[go: up one dir, main page]

login
A047729
Number of score sequences in tournament with n players, when 3 points are awarded in each game.
8
1, 2, 8, 37, 198, 1178, 7548, 50944, 357855, 2595250, 19313372, 146815503, 1136158495, 8927025989, 71065654235, 572215412354, 4653746621835, 38184724333615, 315792633485360, 2630183440412617, 22046522161472304
OFFSET
1,2
REFERENCES
P. A. MacMahon, Chess tournaments and the like treated by the calculus of symmetric functions, Coll. Papers I, MIT Press, 344-375.
LINKS
C. Bebeacua, T. Mansour, A. Postnikov and S. Severini, On the X-rays of permutations, arXiv:math/0506334 [math.CO], 2005.
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
Sequence in context: A305547 A007857 A289541 * A020076 A342052 A317873
KEYWORD
nonn
STATUS
approved