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Denominators of continued fraction convergents to sqrt(860).
2

%I #17 May 11 2021 13:41:43

%S 1,3,43,132,7699,23229,332905,1021944,59605657,179838915,2577350467,

%T 7911890316,461466988795,1392312856701,19953846982609,61253853804528,

%U 3572677367645233,10779285956740227,154482680762008411,474227328242765460

%N Denominators of continued fraction convergents to sqrt(860).

%H Vincenzo Librandi, <a href="/A042661/b042661.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 (0,0,0,7742,0,0,0,-1).

%F G.f.: -(x^2-3*x-1)*(x^4+44*x^2+1) / ((x^4-88*x^2+1)*(x^4+88*x^2+1)). - _Colin Barker_, Dec 20 2013

%t Denominator[Convergents[Sqrt[860], 30]] (* _Vincenzo Librandi_, Jan 26 2014 *)

%t LinearRecurrence[{0,0,0,7742,0,0,0,-1},{1,3,43,132,7699,23229,332905,1021944},40] (* _Harvey P. Dale_, May 11 2021 *)

%Y Cf. A042660, A040829.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013