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 A121272 Number of outcomes of unlabeled n-team round-robin tournaments that are not uniquely defined by their score vectors. 0
 0, 0, 0, 0, 5, 45, 438, 6849, 191483, 9732967, 903753099, 154108310917, 48542114686488, 28401423719121589, 31021002160355165644, 63530415842308265098260, 244912778438520759443242406 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS 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). LINKS Eric Weisstein's World of Mathematics, Score Sequence. FORMULA a(n) = A000568(n) - A000570(n). - Michel Marcus, Nov 01 2019 EXAMPLE All tournaments with 4 or fewer 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 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. CROSSREFS Cf. A000568, A000570. Sequence in context: A058410 A005979 A165225 * A054318 A093140 A137233 Adjacent sequences:  A121269 A121270 A121271 * A121273 A121274 A121275 KEYWORD nonn AUTHOR Tanya Khovanova, Aug 23 2006 STATUS approved

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Last modified September 21 11:46 EDT 2020. Contains 337268 sequences. (Running on oeis4.)