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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

(list; graph; refs; listen; history; text; internal format)

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

URL: https://oeis.org/A047737

⇱ A047737 - OEIS