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Search: id:A121272
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| A121272 |
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Number of outcomes of unlabeled n-team round-robin tournaments that are not uniquely defined by their score vectors. |
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+0
1
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| 0, 0, 0, 0, 5, 45, 438, 6849, 191483, 9732967, 903753099, 154108310917, 48542114686488, 28401423719121589, 31021002160355165644, 63530415842308265098260, 244912778438520759443242406
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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This sequence is the difference between A000568 (Number of outcomes of unlabeled n-team round-robin tournaments) and A000570 (Number of tournaments on n nodes determined by their score vectors).
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LINKS
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Score Sequence at MathWorld.
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EXAMPLE
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All tournaments with 4 or less teams are uniquely defined by their score vectors. Hence a(1) = a(2) = a(3) = a(4) = 0.
For five team tournaments only two score sequences are do not define the tournament uniquely: {1,1,2,3,3} and {1,2,2,2,3}. The first sequence corresponds to two different tournaments and the second sequence to three different tournaments. Thus a(5) = 5.
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CROSSREFS
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Adjacent sequences: A121269 A121270 A121271 this_sequence A121273 A121274 A121275
Sequence in context: A022022 A058410 A005979 this_sequence A054318 A093140 A137233
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KEYWORD
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nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 23 2006
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