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What is the number of different tournaments on $n$ number of teams? Is there any trick or formulation available? Tournament: A complete oriented graph, i.e., a graph in which every pair of nodes is connected by a single uniquely directed edge. See: https://en.wikipedia.org/wiki/Tournament_(graph_theory)

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  • $\begingroup$ @bof 12: You are right. I am interested to find only the nonisomorphic tournaments. $\endgroup$
    – G_0_pi_i_e
    Dec 28, 2015 at 7:22

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The number of nonisomorphic tournaments on $n$ vertices is given by OEIS sequence A000518.
The first few terms (from $n=0$ to $n=17$) are $$1, 1, 1, 2, 4, 12, 56, 456, 6880, 191536, 9733056, 903753248, 154108311168, 48542114686912, 28401423719122304, 31021002160355166848, 63530415842308265100288, 244912778438520759443245824.$$

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