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A047733 Number of score sequences in tournament with n players, when 6 points are awarded in each game. 0
1, 4, 25, 213, 2131, 23729, 283681, 3574222, 46866712, 634204317, 8803501719, 124799484286, 1800669899917, 26374204955323, 391331674556361, 5872226011836383, 88993282402441857, 1360552594176453319 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..18.

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-A047731.

Sequence in context: A049118 A305323 A215094 * A198198 A007830 A305404

Adjacent sequences:  A047730 A047731 A047732 * A047734 A047735 A047736

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified October 18 04:54 EDT 2019. Contains 328145 sequences. (Running on oeis4.)