A041103 Denominators of continued fraction convergents to sqrt(59).

1, 1, 3, 22, 47, 69, 1013, 1082, 3177, 23321, 49819, 73140, 1073779, 1146919, 3367617, 24720238, 52808093, 77528331, 1138204727, 1215733058, 3569670843, 26203428959, 55976528761, 82179957720

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: A209987 A332095 A337371 * A225414 A187694 A104604

Adjacent sequences: A041100 A041101 A041102 * A041104 A041105 A041106

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved