A296506 - OEIS

%I #28 Jan 02 2019 12:57:17

%S 1,280,833712928048000000

%N Number of generalized knockout tournament seedings with 3 players in each match and n rounds.

%C Next term is too large to include.

%H Alexander Karpov, <a href="https://wp.hse.ru/data/2017/12/12/1160180715/WP7_2017_03_________.pdf">Generalized knockout tournaments</a>, National Research University Higher School of Economics. WP7/2017/03.

%H Alexander Karpov, <a href="/A296506/a296506.pdf">Generalized knockout tournaments</a>.

%F a(n) = (3^n)!/6^((3^n-1)/2).

%t f[n_] := (3^n)!/6^((3^n - 1)/2); Array[f, 3] (* _Robert G. Wilson v_, Dec 27 2017 *)

%Y Cf. A067667 (number of knockout tournament seedings with two players in each match).

%K nonn

%O 1,2

%A _Alexander Karpov_, Dec 13 2017