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A002638
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a(n) = (number of nonisomorphic nontransitive prime tournaments on n nodes) - Moebius(n).
(Formerly M0913 N0345)
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2
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-1, 1, 2, 3, 12, 52, 456, 6873, 191532, 9733032, 903753248, 154108311046, 48542114686912, 28401423719121392, 31021002160355166800, 63530415842308265086523, 244912778438520759443245824, 1783398846284777975419599903948, 24605641171260376770598003978281472
(list;
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history;
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OFFSET
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1,3
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Pontus von Brömssen, Table of n, a(n) for n = 1..76
J. W. Moon and M. Goldberg, On the composition of two tournaments, Duke Mathematical Journal, vol.37, no.2 (1970), pp.323-332. (subscription required)
J. W. Moon and M. Goldberg, On the composition of two tournaments, Duke Mathematical Journal 37.2 (1970): 323-332. [Annotated scans of pages 331 and 332 only]
Index entries for sequences related to tournaments
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FORMULA
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a(1)=-1, a(n) = A000568(n) - Sum_{d|n, d!=1, d!=n} (a(d) * A000568(n / d). - Sean A. Irvine, Oct 19 2015
a(n) = A259106(n) - A008683(n). - Pontus von Brömssen, Oct 03 2020
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CROSSREFS
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Cf. A000568, A008683, A259106.
Sequence in context: A307957 A307956 A358716 * A027072 A083746 A025231
Adjacent sequences: A002635 A002636 A002637 * A002639 A002640 A002641
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Definition clarified by N. J. A. Sloane, Jun 23 2015
More terms from Sean A. Irvine, Oct 19 2015
a(19) from Pontus von Brömssen, Oct 03 2020
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STATUS
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approved
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