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%I #15 Sep 08 2022 08:44:55
%S 1,2,3,14,17,48,2033,4114,6147,28702,34849,98400,4167649,8433698,
%T 12601347,58839086,71440433,201719952,8543678417,17289076786,
%U 25832755203,120620097598,146452852801,413525803200,17514536587201,35442598977602,52957135564803
%N Denominators of continued fraction convergents to sqrt(456).
%H Vincenzo Librandi, <a href="/A041869/b041869.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 (0,0,0,0,0,2050,0,0,0,0,0,-1).
%F G.f.: -(x^10 -2*x^9 +3*x^8 -14*x^7 +17*x^6 -48*x^5 -17*x^4 -14*x^3 -3*x^2 -2*x-1) / (x^12 -2050*x^6 +1). - _Colin Barker_, Nov 26 2013
%F a(n) = 2050*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 26 2013
%t Denominator[Convergents[Sqrt[456], 30]] (* _Vincenzo Librandi_, Dec 26 2013 *)
%o (Magma) I:=[1,2,3,14,17,48,2033,4114,6147,28702,34849, 98400]; [n le 12 select I[n] else 2050*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 26 2013
%Y Cf. A041868, A040434.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 26 2013
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