A047733 Number of score sequences in tournament with n players, when 6 points are awarded in each game.

1, 4, 25, 213, 2131, 23729, 283681, 3574222, 46866712, 634204317, 8803501719, 124799484286, 1800669899917, 26374204955323, 391331674556361, 5872226011836383, 88993282402441857, 1360552594176453319

Offset

1,2

Links

Qihao Ye, Table of n, a(n) for n = 1..808

Sophie Rehberg, Extensions of Ehrhart theory and applications to combinatorial structures, Ph D. dissertation, Freien Univ. (Berlin, Germany 2025). See pp. 8, 120, 144.

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}) <= 6, p_i >= 0, i=1, ..., n.

Crossrefs

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

Sequence in context: A049118 A305323 A215094 * A351767 A198198 A007830

Adjacent sequences: A047730 A047731 A047732 * A047734 A047735 A047736

Keyword

nonn

Author

David W. Wilson

Status

approved