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A041834
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Numerators of continued fraction convergents to sqrt(438).
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2
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20, 21, 272, 293, 11992, 12285, 159412, 171697, 7027292, 7198989, 93415160, 100614149, 4117981120, 4218595269, 54741124348, 58959719617, 2413129909028, 2472089628645, 32078205452768, 34550295081413
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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^7-20*x^6+21*x^5-272*x^4-293*x^3-272*x^2-21*x-20)/(x^8-586*x^4+1). - Vincenzo Librandi, Nov 10 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[438], 30]] (* or *) CoefficientList[Series[-(x^7 - 20 x^6 + 21 x^5 - 272 x^4 - 293 x^3 - 272 x^2 - 21 x - 20)/(x^8 - 586 x^4 + 1), {x, 0, 25}], x] (* Vincenzo Librandi, Nov 10 2013 *)
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PROG
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(Magma) I:=[20, 21, 272, 293, 11992, 12285, 159412, 171697]; [n le 8 select I[n] else 586*Self(n-4)-Self(n-8): n in [1..25]]; // 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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