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A041319
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Denominators of continued fraction convergents to sqrt(173).
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10
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1, 6, 7, 13, 85, 2223, 13423, 15646, 29069, 190060, 4970629, 30013834, 34984463, 64998297, 424974245, 11114328667, 67110946247, 78225274914, 145336221161, 950242601880, 24851643870041, 150060105822126, 174911749692167, 324971855514293, 2124742882777925
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OFFSET
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0,2
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COMMENTS
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The a(n) terms of this sequence can be constructed with the terms of sequence A140455. For the terms of the periodical sequence of the continued fraction for sqrt(173) see A010217. We observe that its period is five. - Johannes W. Meijer, Jun 12 2010
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 2236, 0, 0, 0, 0, 1).
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FORMULA
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G.f.: -(x^8-6*x^7+7*x^6-13*x^5+85*x^4+13*x^3+7*x^2+6*x+1) / (x^10+2236*x^5-1). - Colin Barker, Nov 12 2013
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 2236, 0, 0, 0, 0, 1}, {1, 6, 7, 13, 85, 2223, 13423, 15646, 29069, 190060}, 30] (* Harvey P. Dale, Sep 19 2020 *)
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PROG
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(Magma) I:=[1, 6, 7, 13, 85, 2223, 13423, 15646, 29069, 190060]; [n le 10 select I[n] else 2236*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 15 2013
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CROSSREFS
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KEYWORD
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nonn,easy,frac
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AUTHOR
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STATUS
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approved
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