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A047734
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Number of score sequences in tournament with n players, when 7 points are awarded in each game.
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0
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1, 4, 32, 318, 3692, 47536, 657040, 9563961, 144847330, 2263567060, 36281911266, 593856894136, 9892591942306, 167278802007062, 2865331941321996, 49634901816988932, 868329574365547207
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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.
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CROSSREFS
| Cf. A000571, A007747, A047729-A047731.
Sequence in context: A110901 A000766 A197715 * A060174 A052704 A151403
Adjacent sequences: A047731 A047732 A047733 * A047735 A047736 A047737
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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