A047737 Number of score sequences in tournament with n players, when 10 points are awarded in each game.

1, 6, 61, 846, 13771, 248623, 4816659, 98277943, 2086173336, 45688601782, 1026218795502, 23536101285148, 549336702455778, 13014352354398322, 312313455482385108, 7579157833713922471

Offset

1,2

Links

Qihao Ye, Table of n, a(n) for n = 1..692

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, 2*p_i - (p_{i+1} + p_{i-1}) <= 10, p_i >= 0, i = 1..n.

Crossrefs

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

Sequence in context: A342110 A191803 A259271 * A302535 A086403 A049120

Adjacent sequences: A047734 A047735 A047736 * A047738 A047739 A047740

Keyword

nonn

Author

David W. Wilson

Status

approved