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A042187
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Denominators of continued fraction convergents to sqrt(618).
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2
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1, 1, 7, 57, 349, 406, 19837, 20243, 141295, 1150603, 7044913, 8195516, 400429681, 408625197, 2852180863, 23226072101, 142208613469, 165434685570, 8083073520829, 8248508206399, 57574122759223, 468841490280183, 2870623064440321, 3339464554720504
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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, 0, 0, 20186, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^10 - x^9 + 7*x^8 - 57*x^7 + 349*x^6 - 406*x^5 - 349*x^4 - 57*x^3 - 7*x^2 - x - 1) / (x^12 - 20186*x^6 + 1). - Colin Barker, Dec 03 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[618], 30]] (* Vincenzo Librandi, Jan 16 2014 *)
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CROSSREFS
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Cf. A042186, A040593.
Sequence in context: A180817 A201438 A202510 * A201872 A218587 A218838
Adjacent sequences: A042184 A042185 A042186 * A042188 A042189 A042190
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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 03 2013
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STATUS
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approved
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