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A042017 Denominators of continued fraction convergents to sqrt(532). 2

%I #14 Jun 13 2015 00:49:38

%S 1,15,31,46,215,476,2119,2595,7309,112230,5169889,77660565,160491019,

%T 238151584,1113097355,2464346294,10970482531,13434828825,37840140181,

%U 581036931540,26765538991021,402064121796855,830893782584731,1232957904381586,5762725400111075

%N Denominators of continued fraction convergents to sqrt(532).

%H Vincenzo Librandi, <a href="/A042017/b042017.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 (0,0,0,0,0,0,0,0,0,5177198,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -15*x^17 +31*x^16 -46*x^15 +215*x^14 -476*x^13 +2119*x^12 -2595*x^11 +7309*x^10 -112230*x^9 -7309*x^8 -2595*x^7 -2119*x^6 -476*x^5 -215*x^4 -46*x^3 -31*x^2 -15*x -1) / (x^20 -5177198*x^10 +1). - _Colin Barker_, Nov 29 2013

%t Denominator[Convergents[Sqrt[532], 30]] (* _Vincenzo Librandi_, Jan 12 2014 *)

%Y Cf. A042016, A040508.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013

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