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A047733
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Number of score sequences in tournament with n players, when 6 points are awarded in each game.
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0
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1, 4, 25, 213, 2131, 23729, 283681, 3574222, 46866712, 634204317, 8803501719, 124799484286, 1800669899917, 26374204955323, 391331674556361, 5872226011836383, 88993282402441857, 1360552594176453319
(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}) <= 6, p_i >= 0, i=1, ..., n.
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CROSSREFS
| Cf. A000571, A007747, A047729-A047731.
Sequence in context: A064299 A038174 A049118 * A198198 A007830 A060911
Adjacent sequences: A047730 A047731 A047732 * A047734 A047735 A047736
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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