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A040111 Continued fraction for sqrt(123). 0
11, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..53.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/2)[33+11*(-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[123], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011*)

PadRight[{11}, 120, {22, 11}] (* Harvey P. Dale, Mar 04 2016 *)

CROSSREFS

Sequence in context: A299781 A168459 A110414 * A003887 A138844 A022345

Adjacent sequences:  A040108 A040109 A040110 * A040112 A040113 A040114

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 22 03:04 EDT 2019. Contains 328315 sequences. (Running on oeis4.)