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

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, 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, 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

Offset: 0

Author

Zerinvary Lajos, Feb 10 2007

Keywords

• cofr
• nonn
• easy

Comments

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

Links

• Index entries for linear recurrences with constant coefficients, signature (0,1).

Crossrefs

Cf. A010527.

Programs

Mathematica

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

Formula

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

Extensions

More terms from N. J. A. Sloane, Dec 29 2008