A047734 Number of score sequences in tournament with n players, when 7 points are awarded in each game.

1, 4, 32, 318, 3692, 47536, 657040, 9563961, 144847330, 2263567060, 36281911266, 593856894136, 9892591942306, 167278802007062, 2865331941321996, 49634901816988932, 868329574365547207

Offset

1,2

Links

Qihao Ye, Table of n, a(n) for n = 1..770

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}) <= 7, p_i >= 0, i=1, ..., n.

Crossrefs

Cf. A000571, A007747, A047729-A047731.

Sequence in context: A369026 A237019 A260155 * A220118 A060174 A052704

Adjacent sequences: A047731 A047732 A047733 * A047735 A047736 A047737

Keyword

nonn

Author

David W. Wilson

Status

approved