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A126664 Continued fraction expansion of sqrt(3)/2. 3

%I

%S 0,1,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,

%T 6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,

%U 6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6

%N Continued fraction expansion of sqrt(3)/2.

%C Also continued fraction expansion of sin(Pi/3).

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).

%F a(n) = 2*(2+(-1)^n) for n>1. a(n) = a(n-2) for n>3. G.f.: -x*(x^2+6*x+1) / ((x-1)*(x+1)). - _Colin Barker_, Jan 10 2014

%t ContinuedFraction[Sqrt[3]/2,120] (* or *) PadRight[{0,1},120,{6,2}] (* _Harvey P. Dale_, May 14 2016 *)

%Y Cf. A010527.

%K cofr,nonn,easy

%O 0,3

%A _Zerinvary Lajos_, Feb 10 2007

%E More terms from _N. J. A. Sloane_, Dec 29 2008

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Last modified August 21 04:54 EDT 2019. Contains 326162 sequences. (Running on oeis4.)