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Denominators of continued fraction convergents to sqrt(804).
2

%I #18 Nov 16 2020 14:03:32

%S 1,2,3,14,31,572,1175,5272,6447,18166,1023743,2065652,3089395,

%T 14423232,31935859,589268694,1210473247,5431161682,6641634929,

%U 18714431540,1054649801169,2128014033878,3182663835047,14858669374066,32900002583179,607058715871288

%N Denominators of continued fraction convergents to sqrt(804).

%H Vincenzo Librandi, <a href="/A042551/b042551.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1030190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^18 -2*x^17 +3*x^16 -14*x^15 +31*x^14 -572*x^13 +1175*x^12 -5272*x^11 +6447*x^10 -18166*x^9 -6447*x^8 -5272*x^7 -1175*x^6 -572*x^5 -31*x^4 -14*x^3 -3*x^2 -2*x -1) / (x^20 -1030190*x^10 +1). - _Colin Barker_, Dec 18 2013

%t Denominator[Convergents[Sqrt[804], 30]] (* _Vincenzo Librandi_, Jan 24 2014 *)

%t LinearRecurrence[{0,0,0,0,0,0,0,0,0,1030190,0,0,0,0,0,0,0,0,0,-1},{1,2,3,14,31,572,1175,5272,6447,18166,1023743,2065652,3089395,14423232,31935859,589268694,1210473247,5431161682,6641634929,18714431540},30] (* _Harvey P. Dale_, Nov 16 2020 *)

%Y Cf. A042550, A040775.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013