A040329 Continued fraction for sqrt(348).

18, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1).

Formula

From Amiram Eldar, Dec 10 2023: (Start)

Multiplicative with a(2) = 1, a(4) = 8, a(2^e) = 36 for e >= 6, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 7/2^(2*s) + 7/2^(3*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(348)), confrac);

Mathematica

ContinuedFraction[Sqrt[348], 100] (* Amiram Eldar, Dec 10 2023 *)

Crossrefs

Sequence in context: A088126 A040327 A040328 * A040326 A040325 A040324

Adjacent sequences: A040326 A040327 A040328 * A040330 A040331 A040332

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved