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A042183 Denominators of continued fraction convergents to sqrt(616). 2

%I #17 May 19 2019 02:28:42

%S 1,1,5,6,11,72,83,155,703,858,41887,42745,212867,255612,468479,

%T 3066486,3534965,6601451,29940769,36542220,1783967329,1820509549,

%U 9066005525,10886515074,19952520599,130601638668,150554159267,281155797935,1275177351007,1556333148942

%N Denominators of continued fraction convergents to sqrt(616).

%H Vincenzo Librandi, <a href="/A042183/b042183.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 (0,0,0,0,0,0,0,0,0,42590,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 - x^17 + 5*x^16 - 6*x^15 + 11*x^14 - 72*x^13 + 83*x^12 - 155*x^11 + 703*x^10 - 858*x^9 - 703*x^8 - 155*x^7 - 83*x^6 - 72*x^5 - 11*x^4 - 6*x^3 - 5*x^2 - x - 1) / (x^20 - 42590*x^10 + 1). - _Colin Barker_, Dec 03 2013

%t Denominator[Convergents[Sqrt[616], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)

%Y Cf. A042182, A040591.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 03 2013

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Last modified May 11 06:34 EDT 2024. Contains 372388 sequences. (Running on oeis4.)