A040273 Continued fraction for sqrt(291).

17, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34, 17, 34

Offset

0,1

Links

Table of n, a(n) for n=0..62.

Index entries for continued fractions for constants

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

Formula

a(n)=(1/2)*[51+17*(-1)^n]17*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 24 2009]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(291)), confrac);

Mathematica

Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[291], 100]] (* or *) PadRight[{17}, 100, {34, 17}] (* Harvey P. Dale, Aug 25 2016 *)

Crossrefs

Sequence in context: A345735 A238235 A333152 * A022351 A146873 A146793

Adjacent sequences: A040270 A040271 A040272 * A040274 A040275 A040276

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved