A040302 Continued fraction for sqrt(320).

17, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1, 34, 1, 7, 1

Offset

0,1

Links

Table of n, a(n) for n=0..83.

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) = 7, a(2^e) = 34 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-1) + 27/4^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(320)), confrac);

Mathematica

ContinuedFraction[Sqrt[320], 120] (* Harvey P. Dale, Apr 08 2012 *)

Crossrefs

Sequence in context: A040299 A040301 A175960 * A269481 A229201 A040303

Adjacent sequences: A040299 A040300 A040301 * A040303 A040304 A040305

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved