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%I #17 Sep 08 2022 08:44:55
%S 1,2,3,65,68,201,8912,18025,26937,583702,610639,1804980,80029759,
%T 161864498,241894257,5241643895,5483538152,16208720199,718667226908,
%U 1453543174015,2172210400923,47069961593398,49242171994321,145554305582040,6453631617604081
%N Denominators of continued fraction convergents to sqrt(499).
%H Vincenzo Librandi, <a href="/A041953/b041953.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 8980, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^10-2*x^9+3*x^8-65*x^7+68*x^6-201*x^5-68*x^4-65*x^3-3*x^2-2*x-1) / (x^12-8980*x^6+1). - _Colin Barker_, Nov 28 2013
%F a(n) = 8980*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 27 2013
%t Denominator[Convergents[Sqrt[499], 30]] (* _Vincenzo Librandi_, Dec 27 2013 *)
%o (Magma) I:=[1,2,3,65,68,201,8912,18025,26937,583702, 610639,1804980]; [n le 12 select I[n] else 8980*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 27 2013
%Y Cf. A041952, A040476.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 28 2013
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