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A042121 Denominators of continued fraction convergents to sqrt(585). 2

%I

%S 1,5,11,16,75,91,257,1376,66305,332901,732107,1065008,4992139,6057147,

%T 17106433,91589312,4413393409,22158556357,48730506123,70889062480,

%U 332286756043,403175818523,1138638393089,6096367783968,293764292023553,1474917827901733

%N Denominators of continued fraction convergents to sqrt(585).

%H Vincenzo Librandi, <a href="/A042121/b042121.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 (0,0,0,0,0,0,0,66562,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^14 -5*x^13 +11*x^12 -16*x^11 +75*x^10 -91*x^9 +257*x^8 -1376*x^7 -257*x^6 -91*x^5 -75*x^4 -16*x^3 -11*x^2 -5*x -1) / ((x^4 -16*x^2 -1)*(x^4 +16*x^2 -1)*(x^8 +258*x^4 +1)). - _Colin Barker_, Dec 02 2013

%F a(n) = 66562*a(n-8) - a(n-16) for n>15. - _Vincenzo Librandi_, Jan 15 2014

%t Denominator[Convergents[Sqrt[585], 30] (* _Vincenzo Librandi_, Jan 15 2014 *)

%Y Cf. A042120, A040560.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 02 2013

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Last modified June 15 01:41 EDT 2021. Contains 345041 sequences. (Running on oeis4.)