A040341 Continued fraction for sqrt(360).

18, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36

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(360)),confrac);

Mathematica

ContinuedFraction[Sqrt[360],120] (* or *) PadRight[{18},120,{36,1}] (* Harvey P. Dale, Jul 04 2021 *)

Formula

a(n) = a(n-2), for n >= 3. - Wesley Ivan Hurt, Apr 16 2023

From Amiram Eldar, Dec 20 2023: (Start)

Multiplicative with a(2^e) = 36, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 35/2^s). (End)