A040120 Continued fraction for sqrt(132).

11, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2

Offset

0,1

Links

Table of n, a(n) for n=0..65.

Index entries for continued fractions for constants

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

Formula

a(n)=12+10*(-1)^n-11*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 10 2009]

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

ContinuedFraction[Sqrt[132], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011*)
PadRight[{11}, 120, {22, 2}] (* Harvey P. Dale, Aug 08 2019 *)

Crossrefs

Sequence in context: A092260 A318926 A336874 * A365220 A176592 A336904

Adjacent sequences: A040117 A040118 A040119 * A040121 A040122 A040123

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved