A157319 Possible total points for a single team in a game of American football, ignoring safeties (and time constraints).

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

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