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A160993
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The number of ordered ways to achieve a score of n in American football
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0
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1, 0, 1, 1, 1, 2, 3, 4, 6, 9, 12, 18, 26, 37, 54, 78, 112, 162, 234, 337, 487, 703, 1014, 1464, 2113, 3049, 4401, 6352, 9167, 13231, 19096, 27560, 39777, 57409, 82856, 119584, 172592, 249096, 359513, 518874, 748874
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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FORMULA
| The coefficients of the power series f(x) = 1/(1-x^2-x^3-x^6-x^7).
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EXAMPLE
| There are four ways to get a total of 7 points: (a) touch down and extra point, (b) a field goal followed by two safeties, (c) a safety, field goal, and safety, and (d) two safeties followed by a field goal.
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CROSSREFS
| A029150 gives the number of unordered ways to achieve a score of n.
Sequence in context: A018669 A138857 A018130 * A171826 A000792 A018752
Adjacent sequences: A160990 A160991 A160992 * A160994 A160995 A160996
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KEYWORD
| easy,nonn
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AUTHOR
| Lee A. Newberg (integer(AT)quantconsulting.com), Jun 01 2009
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