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A042581 Denominators of continued fraction convergents to sqrt(819). 2

%I #16 Mar 19 2017 12:13:48

%S 1,1,2,3,5,8,13,21,34,55,3114,3169,6283,9452,15735,25187,40922,66109,

%T 107031,173140,9802871,9976011,19778882,29754893,49533775,79288668,

%U 128822443,208111111,336933554,545044665,30859434794,31404479459,62263914253,93668393712

%N Denominators of continued fraction convergents to sqrt(819).

%H Vincenzo Librandi, <a href="/A042581/b042581.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, 3148, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^2-x-1)*(x^4-3*x^3+4*x^2-2*x+1)*(x^4-2*x^3+4*x^2-3*x+1)*(x^4+2*x^3+4*x^2+3*x+1)*(x^4+3*x^3+4*x^2+2*x+1) / (x^20-3148*x^10+1). - _Colin Barker_, Dec 18 2013

%t Denominator[Convergents[Sqrt[819], 30]] (* _Vincenzo Librandi_, Jan 25 2014 *)

%Y Cf. A042580, A040790.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013

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