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%I #16 Apr 25 2023 15:30:38
%S 1,3,145,438,21169,63945,3090529,9335532,451196065,1362923727,
%T 65871534961,198977528610,9616792908241,29049356253333,
%U 1403985893068225,4241007035458008,204972323595052609,619157977820615835,29924555258984612689,90392823754774453902
%N Denominators of continued fraction convergents to sqrt(592).
%H Vincenzo Librandi, <a href="/A042135/b042135.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 (0,146,0,-1).
%F G.f.: -(x^2-3*x-1) / ((x^2-12*x-1)*(x^2+12*x-1)). - _Colin Barker_, Dec 02 2013
%F a(n) = 146*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Jan 15 2014
%t Denominator[Convergents[Sqrt[592], 30]] (* _Vincenzo Librandi_, Jan 15 2014 *)
%t LinearRecurrence[{0,146,0,-1},{1,3,145,438},20] (* _Harvey P. Dale_, Apr 25 2023 *)
%o (Magma) I:=[1,3,145,438]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Jan 15 2014
%Y Cf. A042134, A040567.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 02 2013