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%I #14 Jul 24 2021 23:22:29
%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
%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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