A209467 Football league numbers with distinct point totals 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.

1, 2, 25, 408, 6272, 91640, 1316363

Offset

1,2

Links

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

Example

For n=2 the possible outcomes are [0,6] and [1,4], so a(2)=2.  The other possible outcomes [2,2] and [3,3] do not have distinct point totals.

Crossrefs

A064422 allows teams to have the same point total.

Cf. A064626, A152789

Sequence in context: A212022 A198710 A074209 * A121252 A322727 A090733

Adjacent sequences: A209464 A209465 A209466 * A209468 A209469 A209470

Keyword

nonn

Author

Lorand Lucz, Mar 09 2012

Status

approved