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A042778
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Numerators of continued fraction convergents to sqrt(920).
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2
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30, 91, 5490, 16561, 999150, 3014011, 181839810, 548533441, 33093846270, 99830072251, 6022898181330, 18168524616241, 1096134375155790, 3306571650083611, 199490433380172450, 601777871790600961, 36306162740816230110, 109520266094239291291, 6607522128395173707570
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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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MATHEMATICA
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Numerator[Convergents[Sqrt[920], 30]] (* or *) CoefficientList[Series[(30 + 91 x + 30 x^2 - x^3)/(1 - 182 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 04 2013 *)
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PROG
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(Magma) I:=[30, 91, 5490, 16561]; [n le 4 select I[n] else 182*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 04 2013, reduced by Bruno Berselli, Dec 23 2013
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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