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A042207
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Denominators of continued fraction convergents to sqrt(629).
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2
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1, 12, 13, 25, 313, 15675, 188413, 204088, 392501, 4914100, 246097501, 2958084112, 3204181613, 6162265725, 77151370313, 3863730781375, 46441920746813, 50305651528188, 96747572275001, 1211276518828200, 60660573513685001, 729138158683048212, 789798732196733213
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OFFSET
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0,2
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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, 0, 15700, 0, 0, 0, 0, 1).
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FORMULA
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G.f.: -(x^8 - 12*x^7 + 13*x^6 - 25*x^5 + 313*x^4 + 25*x^3 + 13*x^2 + 12*x + 1) / (x^10 + 15700*x^5 - 1). - Colin Barker, Dec 04 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[629], 30]] (* Vincenzo Librandi, Jan 16 2014 *)
LinearRecurrence[{0, 0, 0, 0, 15700, 0, 0, 0, 0, 1}, {1, 12, 13, 25, 313, 15675, 188413, 204088, 392501, 4914100}, 30] (* Harvey P. Dale, May 27 2014 *)
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CROSSREFS
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Cf. A042206, A040603.
Sequence in context: A041294 A041290 A041288 * A022317 A125998 A307279
Adjacent sequences: A042204 A042205 A042206 * A042208 A042209 A042210
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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 04 2013
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STATUS
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approved
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