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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

%I

%S 1,4,40,748,13744,238568,4054190

%N 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.

%C This sequence 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).

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

%Y Cf. A047730, A064626, A007747.

%K nonn,more,changed

%O 1,2

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

%E a(6)-a(7) from _Lorand Lucz_, Mar 09 2012

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Last modified August 3 07:47 EDT 2021. Contains 346435 sequences. (Running on oeis4.)