%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 3point rule of international football where the sum of total points awarded depends on the outcome of each match. The classical 2point 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
