A040305 Continued fraction for sqrt(323).

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• easy
• mult

Links

• Index entries for continued fractions for constants.
• Index entries for linear recurrences with constant coefficients, signature (0,1).

Programs

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(323)),confrac);

Mathematica

ContinuedFraction[Sqrt[323],75] (* Harvey P. Dale, May 12 2011 *)

Formula

From Amiram Eldar, Dec 10 2023: (Start)

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

Dirichlet g.f.: zeta(s) * (1 + 33/2^s). (End)