A041103 - OEIS

%I #19 Mar 19 2017 08:44:03

%S 1,1,3,22,47,69,1013,1082,3177,23321,49819,73140,1073779,1146919,

%T 3367617,24720238,52808093,77528331,1138204727,1215733058,3569670843,

%U 26203428959,55976528761,82179957720

%N Denominators of continued fraction convergents to sqrt(59).

%H Vincenzo Librandi, <a href="/A041103/b041103.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 1060, 0, 0, 0, 0, 0, -1).

%F 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]

%t Denominator[Convergents[Sqrt[59], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)

%Y Cf. A010512, A041102.

%K nonn,cofr,frac,easy

%O 0,3

%A _N. J. A. Sloane_.