A040304 Continued fraction for sqrt(322).

17, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16, 1, 34, 1, 16

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 (0,0,0,1).

Formula

From Amiram Eldar, Dec 10 2023: (Start)

Multiplicative with a(2) = 16, a(2^e) = 34 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 15/2^s + 9/2^(2*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(322)), confrac);

Mathematica

ContinuedFraction[Sqrt[322], 80] (* or *) PadRight[{17}, 80, {34, 1, 16, 1}] (* Harvey P. Dale, Mar 13 2013 *)

Crossrefs

Sequence in context: A269481 A229201 A040303 * A347142 A347143 A124517

Adjacent sequences: A040301 A040302 A040303 * A040305 A040306 A040307

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved