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A041577
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Denominators of continued fraction convergents to sqrt(306).
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2
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1, 2, 69, 140, 4829, 9798, 337961, 685720, 23652441, 47990602, 1655332909, 3358656420, 115849651189, 235057958798, 8107820250321, 16450698459440, 567431567871281, 1151313834202002, 39712101930739349, 80575517695680700, 2779279703583883149
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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, 70, 0, -1).
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FORMULA
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G.f.: -(x^2-2*x-1) / (x^4-70*x^2+1). - Colin Barker, Nov 19 2013
a(n) = 70*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 20 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[306], 30]] (* Vincenzo Librandi, Dec 20 2013 *)
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PROG
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(MAGMA) I:=[1, 2, 69, 140]; [n le 4 select I[n] else 70*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013
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CROSSREFS
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Cf. A041576, A040288.
Sequence in context: A283038 A264457 A246744 * A180085 A321244 A224506
Adjacent sequences: A041574 A041575 A041576 * A041578 A041579 A041580
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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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Additional term from Colin Barker, Nov 19 2013
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STATUS
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approved
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