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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. 2

%I #3 Aug 31 2013 19:33:50

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

%N 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.

%C 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].

%e For 2 teams, [0,3] is the only possible outcome with no repeated point totals, so a(2) = 1.

%e For 3 teams, the only outcomes are [0,3,6], [1,2,4] and [1,3,4], so a(3) = 3.

%Y Cf. A064626.

%K hard,more,nonn

%O 1,3

%A _Jon E. Schoenfield_, Dec 13 2008

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