A296506 Number of generalized knockout tournament seedings with 3 players in each match and n rounds.

1, 280, 833712928048000000

Offset: 1

Author

Alexander Karpov, Dec 13 2017

Keywords

• nonn

Comments

Next term is too large to include.

Links

• Alexander Karpov, Generalized knockout tournaments, National Research University Higher School of Economics. WP7/2017/03.
• Alexander Karpov, Generalized knockout tournaments.

Crossrefs

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

Programs

Mathematica

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

Formula

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