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A042267 Denominators of continued fraction convergents to sqrt(659). 2
1, 1, 3, 76, 155, 231, 11705, 11936, 35577, 901361, 1838299, 2739660, 138821299, 141560959, 421943217, 10690141384, 21802225985, 32492367369, 1646420594435, 1678912961804, 5004246518043, 126785075912879, 258574398343801, 385359474256680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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, 11860, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^10-x^9+3*x^8-76*x^7+155*x^6-231*x^5-155*x^4-76*x^3-3*x^2-x-1) / (x^12-11860*x^6+1). - Colin Barker, Dec 06 2013

MAPLE

convert(sqrt(659), confrac, 30, cvgts): denom(cvgts); # Wesley Ivan Hurt, Dec 07 2013

MATHEMATICA

Denominator[Convergents[Sqrt[659], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

PROG

(MAGMA) I:=[1, 1, 3, 76, 155, 231, 11705, 11936, 35577, 901361, 1838299, 2739660]; [n le 12 select I[n] else 11860*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Jan 19 2014

CROSSREFS

Cf. A042266, A040633.

Sequence in context: A089301 A037110 A168385 * A201428 A141103 A300386

Adjacent sequences:  A042264 A042265 A042266 * A042268 A042269 A042270

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 06 2013

STATUS

approved

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Last modified September 22 16:22 EDT 2020. Contains 337291 sequences. (Running on oeis4.)