A040536 Continued fraction for sqrt(560).

23, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1, 46, 1, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..83.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Dec 27 2023: (Start)

Multiplicative with a(2) = 1, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 45/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(560)), confrac);

Mathematica

ContinuedFraction[Sqrt[560], 120] (* or *) PadRight[{23}, 120, {46, 1, 1, 1}] (* Harvey P. Dale, Jun 27 2020 *)

Crossrefs

Sequence in context: A040533 A191816 A040535 * A222032 A040532 A040531

Adjacent sequences: A040533 A040534 A040535 * A040537 A040538 A040539

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved