A040544 Continued fraction for sqrt(568).

23, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 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) = 4, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^s + 21/2^(2*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(568)), confrac);

Mathematica

ContinuedFraction[Sqrt[568], 120] (* or *) PadRight[{23}, 120, {46, 1, 4, 1}] (* Harvey P. Dale, Dec 05 2014 *)

Crossrefs

Sequence in context: A040537 A040542 A040541 * A040543 A040545 A040546

Adjacent sequences: A040541 A040542 A040543 * A040545 A040546 A040547

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved