A040559 Continued fraction for sqrt(584).

24, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48

Offset

0,1

Links

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants

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

Formula

a(n)=27+21*(-1)^n-24*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 14 2009]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(584)), confrac);

Mathematica

$MaxExtraPrecision=1000; ContinuedFraction[Sqrt[584], 80] (* Harvey P. Dale, Oct 20 2011 *)

Prog

(PARI) contfrac(sqrt(584)) \\ Charles R Greathouse IV, Oct 20 2011

Crossrefs

Sequence in context: A091737 A097481 A267744 * A339007 A339008 A068613

Adjacent sequences: A040556 A040557 A040558 * A040560 A040561 A040562

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane.

Status

approved