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A042509
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Denominators of continued fraction convergents to sqrt(782).
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2
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1, 1, 27, 28, 1539, 1567, 42281, 43848, 2410073, 2453921, 66212019, 68665940, 3774172779, 3842838719, 103687979473, 107530818192, 5910352161841, 6017882980033, 162375309642699, 168393192622732, 9255607711270227, 9424000903892959, 254279631212487161
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,1566,0,0,0,-1).
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FORMULA
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G.f.: -(x^2-x-1)*(x^4+28*x^2+1) / (x^8-1566*x^4+1). - Colin Barker, Dec 16 2013
a(0)=1, a(1)=1, a(2)=27, a(3)=28, a(4)=1539, a(5)=1567, a(6)=42281, a(7)=43848, a(n)=1566*a(n-4)-a(n-8). - Harvey P. Dale, Jun 20 2015
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MATHEMATICA
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Denominator[Convergents[Sqrt[782], 30]] (* Vincenzo Librandi, Jan 23 2014 *)
LinearRecurrence[{0, 0, 0, 1566, 0, 0, 0, -1}, {1, 1, 27, 28, 1539, 1567, 42281, 43848}, 30] (* Harvey P. Dale, Jun 20 2015 *)
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CROSSREFS
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Cf. A042508, A040754.
Sequence in context: A042506 A041363 A042508 * A042510 A157251 A214832
Adjacent sequences: A042506 A042507 A042508 * A042510 A042511 A042512
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Colin Barker, Dec 16 2013
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STATUS
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approved
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