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%I #23 Dec 18 2022 13:08:25
%S 1,1,3,76,155,231,11705,11936,35577,901361,1838299,2739660,138821299,
%T 141560959,421943217,10690141384,21802225985,32492367369,
%U 1646420594435,1678912961804,5004246518043,126785075912879,258574398343801,385359474256680
%N Denominators of continued fraction convergents to sqrt(659).
%H Vincenzo Librandi, <a href="/A042267/b042267.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, 11860, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^10-x^9+3*x^8-76*x^7+155*x^6-231*x^5-155*x^4-76*x^3-3*x^2-x-1) / (x^12-11860*x^6+1). - _Colin Barker_, Dec 06 2013
%p convert(sqrt(659),confrac,30,cvgts): denom(cvgts); # _Wesley Ivan Hurt_, Dec 07 2013
%t Denominator[Convergents[Sqrt[659], 30]] (* _Vincenzo Librandi_, Jan 19 2014 *)
%t LinearRecurrence[{0,0,0,0,0,11860,0,0,0,0,0,-1},{1,1,3,76,155,231,11705,11936,35577,901361,1838299,2739660},30] (* _Harvey P. Dale_, Dec 18 2022 *)
%o (Magma) I:=[1,1,3,76,155,231,11705,11936,35577,901361, 1838299,2739660]; [n le 12 select I[n] else 11860*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Jan 19 2014
%Y Cf. A042266, A040633.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 06 2013
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