|
%I #17 Sep 08 2022 08:44:54
%S 1,4,145,584,21169,85260,3090529,12447376,451196065,1817231636,
%T 65871534961,265303371480,9616792908241,38732475004444,
%U 1403985893068225,5654676047277344,204972323595052609,825543970427487780,29924555258984612689,120523765006365938536
%N Denominators of continued fraction convergents to sqrt(333).
%H Vincenzo Librandi, <a href="/A041629/b041629.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 146, 0, -1).
%F G.f.: -(x^2-4*x-1) / ((x^2-12*x-1)*(x^2+12*x-1)). - _Colin Barker_, Nov 20 2013
%F a(n) = 146*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Dec 22 2013
%t Denominator[Convergents[Sqrt[333], 30]] (* _Vincenzo Librandi_, Dec 22 2013 *)
%o (Magma) I:=[1,4,145,584]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 22 2013
%Y Cf. A041628, A040314.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 20 2013
|
