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

0,3

Comments

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

Links

Table of n, a(n) for n=0..110.

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

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

Mathematica

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

Crossrefs

Cf. A010527.

Sequence in context: A318333 A318385 A319262 * A266389 A198986 A236190

Adjacent sequences: A126661 A126662 A126663 * A126665 A126666 A126667

Keyword

cofr,nonn,easy

Author

Zerinvary Lajos, Feb 10 2007

Extensions

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

Status

approved