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Search: id:A047735
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| A047735 |
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Number of score sequences in tournament with n players, when 8 points are awarded in each game. |
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+0
1
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| 1, 5, 41, 459, 6033, 88055, 1379405, 22763356, 390859501, 6924877318, 125837754305, 2335060741480, 44097660919285, 845336236860344, 16415016380975679, 322349248087651458, 6392828942756895663
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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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}) <= 8, p_i >= 0, i=1, ..., n.
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CROSSREFS
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Cf. A000571, A007747, A047729-A047731.
Adjacent sequences: A047732 A047733 A047734 this_sequence A047736 A047737 A047738
Sequence in context: A140095 A083073 A115257 this_sequence A096364 A049119 A032188
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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