A047730 Number of score sequences in tournament with n players, when 4 points are awarded in each game.

1, 3, 13, 76, 521, 3996, 32923, 286202, 2590347, 24203935, 232050202, 2272449745, 22653570386, 229274897514, 2350933487206, 24381053759852, 255382755251622, 2698732882975782, 28743579211912338

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

Qihao Ye, Table of n, a(n) for n = 1..928

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}) <= 4, p_i >= 0, i=1, ..., n.

Crossrefs

Cf. A000571, A007747, A047729, A064626, A064422.

Sequence in context: A222427 A026072 A063646 * A162435 A059040 A220895

Adjacent sequences: A047727 A047728 A047729 * A047731 A047732 A047733

Keyword

nonn

Author

David W. Wilson

Status

approved