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%I #14 Sep 08 2022 08:44:54
%S 1,1,3,4,107,111,329,440,11769,12209,36187,48396,1294483,1342879,
%T 3980241,5323120,142381361,147704481,437790323,585494804,15660655227,
%U 16246150031,48152955289,64399105320,1722529693609,1786928798929,5296387291467,7083316090396
%N Denominators of continued fraction convergents to sqrt(189).
%H Vincenzo Librandi, <a href="/A041351/b041351.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 (0,0,0,110,0,0,0,-1).
%F G.f.: -(x^2-x-1)*(x^4+4*x^2+1) / (x^8-110*x^4+1). - _Colin Barker_, Nov 16 2013
%F a(n) = 110*a(n-4) - a(n-8). - _Vincenzo Librandi_, Dec 16 2013
%t Denominator[Convergents[Sqrt[189], 30]] (* _Vincenzo Librandi_, Dec 16 2013 *)
%o (Magma) I:=[1,1,3,4,107,111,329,440]; [n le 8 select I[n] else 110*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 16 2013
%Y Cf. A041350, A010231.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 16 2013
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