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A041565
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Denominators of continued fraction convergents to sqrt(300).
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2
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1, 3, 25, 78, 2677, 8109, 67549, 210756, 7233253, 21910515, 182517373, 569462634, 19544246929, 59202203421, 493161874297, 1538687826312, 52808547968905, 159964331733027, 1332523201833121, 4157533937232390, 142688677067734381, 432223565140435533
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: -(x^2-3*x-1)*(x^4+26*x^2+1) / ((x^4-52*x^2+1)*(x^4+52*x^2+1)). - Colin Barker, Nov 19 2013
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MATHEMATICA
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PROG
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(Magma) I:=[1, 3, 25, 78, 2677, 8109, 67549, 210756]; [n le 8 select I[n] else 2702*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 20 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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