%I #16 Sep 08 2022 08:44:54
%S 1,14,393,5516,154841,2173290,61006961,856270744,24036587793,
%T 337368499846,9470354583481,132922332668580,3731295669303721,
%U 52371061702920674,1470121023351082593,20634065388618076976,579223951904657237921,8129769392053819407870
%N Denominators of continued fraction convergents to sqrt(198).
%H Vincenzo Librandi, <a href="/A041367/b041367.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 (0,394,0,-1).
%F G.f.: -(x^2-14*x-1) / (x^4-394*x^2+1). - _Colin Barker_, Nov 16 2013
%F a(n) = 394*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 16 2013
%t Denominator[Convergents[Sqrt[198], 30]] (* _Harvey P. Dale_, May 14 2013 *)
%t CoefficientList[Series[(1 + 14 x - x^2)/(x^4 - 394 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 16 2013 *)
%o (Magma) I:=[1,14,393,5516]; [n le 4 select I[n] else 394*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 16 2013
%Y Cf. A041366, A040183.
%K nonn,cofr,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 16 2013