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Number of nonisomorphic vertex-transitive tournaments of order 2n-1.
0

%I #7 Jul 09 2021 22:20:58

%S 1,1,1,2,3,4,6,16,16,30,110,94,214,694,586,1096,3280,5472,7286,25206,

%T 26216,49940,196624,182362,407856,907116

%N Number of nonisomorphic vertex-transitive tournaments of order 2n-1.

%C The circulant tournaments A049288 are included.

%C Up to 49 vertices, non-circulant vertex-transitive tournaments occur on 21, 25, 27, 39, 45 and 49 vertices.

%H Brendan McKay, <a href="http://users.cecs.anu.edu.au/~bdm/data/digraphs.html">vertex-transitive tournaments</a>

%Y If the automorphism group contains a full-length cycle, the tournament is circulant and is counted by A049288.

%Y Cf. A060747.

%K nonn,hard,more

%O 1,4

%A _Brendan McKay_, Jul 09 2021