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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
1, 1, 3, 13, 84, 578, 3931, 26258, 173708, 1143860, 7516179, 49344260 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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].

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

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.

Sequence in context: A104032 A130406 A225236 * A192943 A125500 A121679

Adjacent sequences:  A152786 A152787 A152788 * A152790 A152791 A152792

KEYWORD

hard,more,nonn

AUTHOR

Jon E. Schoenfield, Dec 13 2008

STATUS

approved

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Last modified July 25 09:49 EDT 2021. Contains 346289 sequences. (Running on oeis4.)