A047736 Number of score sequences in tournament with n players, when 9 points are awarded in each game.

1, 5, 50, 630, 9285, 151652, 2658131, 49061128, 942055396, 18662965393, 379195887105, 7867076520341, 166102773740621, 3559787677138284, 77278541685154409, 1696519572528877274

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Links

• Qihao Ye, Table of n, a(n) for n = 1..714

Crossrefs

Cf. A000571, A007747, A047729, A047730, A047731.

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}) <= 9, p_i >= 0, i=1, ..., n.