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A041850
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Numerators of continued fraction convergents to sqrt(447).
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2
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21, 148, 6237, 43807, 1846131, 12966724, 546448539, 3838106497, 161746921413, 1136066556388, 47876542289709, 336271862584351, 14171294770832451, 99535335258411508, 4194655375624115787
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: -(x^3 - 21*x^2 - 148*x - 21)/(x^4 - 296*x^2 + 1). - Vincenzo Librandi, Nov 10 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[447], 30]] (* Harvey P. Dale, Oct 08 2012 *)
CoefficientList[Series[-(x^3 - 21 x^2 - 148 x - 21)/(x^4 - 296 x^2 + 1), {x, 0, 25}], x] (* Vincenzo Librandi, Nov 10 2013 *)
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PROG
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(Magma) I:=[21, 148, 6237, 43807]; [n le 4 select I[n] else 296*Self(n-2)-Self(n-4): n in [1..20]]; // Vincenzo Librandi, Nov 10 2013
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CROSSREFS
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KEYWORD
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nonn,cofr,frac,easy,less
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AUTHOR
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STATUS
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approved
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