A152789 Football tournament numbers with distinct point totals: number of point series in A064626 in which no two teams have the same total number of points.

1, 1, 3, 13, 84, 578, 3931, 26258, 173708, 1143860, 7516179, 49344260

Offset: 1

Author

Jon E. Schoenfield, Dec 13 2008

Keywords

• hard
• more
• nonn

Comments

Only 2 outcomes exist in which all scores are distinct and prime: a 6-team series, [2,3,5,7,11,13] and an 8-team series, [2,3,5,7,11,13,17,19].

Examples

			For 2 teams, [0,3] is the only possible outcome with no repeated point totals, so a(2) = 1.
For 3 teams, the only outcomes are [0,3,6], [1,2,4] and [1,3,4], so a(3) = 3.
		

Crossrefs

Cf. A064626.