The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A121272

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A121272

Number of outcomes of unlabeled n-team round-robin tournaments that are not uniquely defined by their score vectors.
(history; published version)

#12 by Susanna Cuyler at Fri Nov 01 18:38:35 EDT 2019

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reviewed

approved

#11 by Joerg Arndt at Fri Nov 01 03:42:44 EDT 2019

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proposed

reviewed

#10 by Michel Marcus at Fri Nov 01 03:34:12 EDT 2019

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editing

proposed

#9 by Michel Marcus at Fri Nov 01 03:34:07 EDT 2019

FORMULA

a(n) = A000568(n) - A000570(n). - Michel Marcus, Nov 01 2019

CROSSREFS

Cf. A000568, A000570.

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approved

editing

#8 by Michel Marcus at Fri Nov 01 03:31:10 EDT 2019

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reviewed

approved

#7 by Joerg Arndt at Fri Nov 01 03:24:45 EDT 2019

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proposed

reviewed

#6 by Michel Marcus at Fri Nov 01 01:18:28 EDT 2019

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editing

proposed

#5 by Michel Marcus at Fri Nov 01 01:18:24 EDT 2019

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ScoreSequence.html">Score Sequence at MathWorld</a>.

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proposed

editing

#4 by Jon E. Schoenfield at Thu Oct 31 23:40:13 EDT 2019

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editing

proposed

#3 by Jon E. Schoenfield at Thu Oct 31 23:40:09 EDT 2019

EXAMPLE

All tournaments with 4 or less 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 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.

STATUS

approved

editing