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

1,2

Links

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

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.

Crossrefs

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

Sequence in context: A232997 A357405 A234464 * A185272 A141316 A217794

Adjacent sequences: A047733 A047734 A047735 * A047737 A047738 A047739

Keyword

nonn

Author

David W. Wilson

Status

approved