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A047737 Number of score sequences in tournament with n players, when 10 points are awarded in each game. 0
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

Table of n, a(n) for n=1..16.

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}) <= 10, p_i >= 0, i=1, ..., n.

CROSSREFS

Cf. A000571, A007747, A047729-A047731.

Sequence in context: A064088 A191803 A259271 * A302535 A086403 A049120

Adjacent sequences:  A047734 A047735 A047736 * A047738 A047739 A047740

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified August 25 16:17 EDT 2019. Contains 326324 sequences. (Running on oeis4.)