A040461 Continued fraction for sqrt(483).

21, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• easy
• less
• 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(483)),confrac);

Mathematica

ContinuedFraction[Sqrt[483],90] (* Harvey P. Dale, Oct 22 2011 *)

Formula

a(n) = a(n-2) for n >= 3. - Wesley Ivan Hurt, Sep 03 2022

From Amiram Eldar, Dec 26 2023: (Start)

Multiplicative with a(2^e) = 42, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 41/2^s). (End)