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A157319
Possible total points for a single team in a game of American football, ignoring safeties (and time constraints).
0
0, 3, 6, 7, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77
OFFSET
1,2
COMMENTS
Allowing 2-point safeties, the only impossible score is 1, see A087156. (With 1-point safeties all scores are possible.) - Charles R Greathouse IV, Jun 10 2015
FORMULA
All combinations of sums of multiples of 3, 6, and 7.
PROG
(PARI) a(n)=if(n<7, [0, 3, 6, 7, 9, 10][n], n+5) \\ Charles R Greathouse IV, Sep 02 2011
CROSSREFS
Sequence in context: A108057 A190189 A129414 * A138933 A288938 A282140
KEYWORD
nonn,easy
AUTHOR
Dan Brown (ddbhockey(AT)hotmail.com), Feb 26 2009
EXTENSIONS
Edited by N. J. A. Sloane, Mar 08 2009
STATUS
approved