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Search: id:A064422
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A064422 Football league numbers: the possible point series for a league of n teams playing each other twice where for each match 3 points are awarded to the winning team and 1 to each in the case of a tie. +0
4
1, 4, 40, 748, 13744 (list; graph; listen)
OFFSET

1,2

COMMENT

This series reflects the now common 3 point rule of international football where the sum of total points awarded depends on the outcome of each match. The classical 2 point rule is equivalent of that for chess tournaments (A047730).

EXAMPLE

For 2 teams there are 4 possible outcomes: [0, 6], [1, 4], [2, 2] and [3, 3], so a(2) = 4.

CROSSREFS

Cp. A047730, A064626, A007747.

Sequence in context: A005431 A153849 A010792 this_sequence A140701 A087047 A053514

Adjacent sequences: A064419 A064420 A064421 this_sequence A064423 A064424 A064425

KEYWORD

nonn,more

AUTHOR

Thomas Schulze (jazariel(AT)tiscalenet.it), Sep 30 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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