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A047734 Number of score sequences in tournament with n players, when 7 points are awarded in each game. 0
1, 4, 32, 318, 3692, 47536, 657040, 9563961, 144847330, 2263567060, 36281911266, 593856894136, 9892591942306, 167278802007062, 2865331941321996, 49634901816988932, 868329574365547207 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..17.

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}) <= 7, p_i >= 0, i=1, ..., n.

CROSSREFS

Cf. A000571, A007747, A047729-A047731.

Sequence in context: A197715 A237019 A260155 * A220118 A060174 A052704

Adjacent sequences:  A047731 A047732 A047733 * A047735 A047736 A047737

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified September 19 04:39 EDT 2019. Contains 327187 sequences. (Running on oeis4.)