

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
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OFFSET

1,2


COMMENTS

Allowing 2point safeties, the only impossible score is 1, see A087156. (With 1point safeties all scores are possible.)  Charles R Greathouse IV, Jun 10 2015


LINKS

Table of n, a(n) for n=1..72.
Index entries for linear recurrences with constant coefficients, signature (2,1).


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

Cf. A069745, A020725.
Sequence in context: A108057 A190189 A129414 * A138933 A288938 A282140
Adjacent sequences: A157316 A157317 A157318 * A157320 A157321 A157322


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



