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A041103 Denominators of continued fraction convergents to sqrt(59). 2
1, 1, 3, 22, 47, 69, 1013, 1082, 3177, 23321, 49819, 73140, 1073779, 1146919, 3367617, 24720238, 52808093, 77528331, 1138204727, 1215733058, 3569670843, 26203428959, 55976528761, 82179957720 (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, 1060, 0, 0, 0, 0, 0, -1).

FORMULA

a(n) = 1060*a(n-6)-a(n-12). G.f.: -(x^10-x^9+3*x^8-22*x^7+47*x^6-69*x^5-47*x^4-22*x^3-3*x^2-x-1)/(x^12-1060*x^6+1). [Colin Barker, Jul 18 2012]

MATHEMATICA

Denominator[Convergents[Sqrt[59], 30]] (* Vincenzo Librandi, Oct 24 2013 *)

CROSSREFS

Cf. A010512, A041102.

Sequence in context: A269799 A079039 A209987 * A225414 A187694 A104604

Adjacent sequences:  A041100 A041101 A041102 * A041104 A041105 A041106

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 15 04:28 EDT 2019. Contains 327062 sequences. (Running on oeis4.)