A040929 Continued fraction for sqrt(960).

30, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• mult
• easy

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(960)),confrac);

Mathematica

ContinuedFraction[Sqrt[960], 100] (* Amiram Eldar, Jan 17 2024 *)

Formula

From Amiram Eldar, Jan 17 2024: (Start)

Multiplicative with a(2^e) = 60, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 59/2^s). (End)