%I #15 Sep 08 2022 08:44:54

%S 1,2,3,47,50,147,4754,9655,14409,225790,240199,706188,22838215,

%T 46382618,69220833,1084695113,1153915946,3392527005,109714780106,

%U 222822087217,332536867323,5210875097062,5543411964385,16297699025832,527069780791009,1070437260607850

%N Denominators of continued fraction convergents to sqrt(267).

%H Vincenzo Librandi, <a href="/A041501/b041501.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,4804,0,0,0,0,0,-1).

%F G.f.: -(x^10-2*x^9+3*x^8-47*x^7+50*x^6-147*x^5-50*x^4-47*x^3-3*x^2-2*x-1) / (x^12-4804*x^6+1). - _Colin Barker_, Nov 18 2013

%F a(n) = 4804*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 19 2013

%t Denominator[Convergents[Sqrt[267], 30]] (* _Vincenzo Librandi_, Dec 19 2013 *)

%o (Magma) I:=[1,2,3,47,50,147,4754,9655,14409,225790, 240199,706188]; [n le 12 select I[n] else 4804*Self(n-6)-Self(n-12): n in [1..30]]; // _Vincenzo Librandi_, Dec 19 2013

%Y Cf. A041500, A040250.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 18 2013