A040548 Continued fraction for sqrt(572).

23, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10, 1, 46, 1, 10

Offset

0,1

Links

Table of n, a(n) for n=0..74.

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) = 10, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 9/2^s + 9/2^(2*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(572)), confrac);

Mathematica

ContinuedFraction[Sqrt[572], 100] (* or *) PadRight[{23}, 100, {46, 1, 10, 1}] (* Harvey P. Dale, Sep 25 2020 *)

Crossrefs

Sequence in context: A040545 A040546 A040547 * A189048 A040549 A069890

Adjacent sequences: A040545 A040546 A040547 * A040549 A040550 A040551

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved