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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. 4
1, 4, 40, 748, 13744, 238568, 4054190 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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).

LINKS

Table of n, a(n) for n=1..7.

EXAMPLE

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

CROSSREFS

Cf. A047730, A064626, A007747.

Sequence in context: A153849 A251574 A010792 * A258662 A140701 A277748

Adjacent sequences:  A064419 A064420 A064421 * A064423 A064424 A064425

KEYWORD

nonn,more

AUTHOR

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

EXTENSIONS

a(6)-a(7) from Lorand Lucz, Mar 09 2012

STATUS

approved

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Last modified February 15 20:07 EST 2019. Contains 320138 sequences. (Running on oeis4.)