A040239 Continued fraction for sqrt(255).

15, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30

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(255)),confrac);

Mathematica

ContinuedFraction[Sqrt[255],90] (* Harvey P. Dale, Dec 25 2011 *)

Formula

From Amiram Eldar, Nov 29 2023: (Start)

Multiplicative with a(2^e) = 30, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 29/2^s). (End)