A040550 Continued fraction for sqrt(574).

23, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22, 1, 46, 1, 22

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) = 22, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(574)), confrac);

Mathematica

ContinuedFraction[Sqrt[574], 100] (* Amiram Eldar, Dec 27 2023 *)

Crossrefs

Sequence in context: A189048 A040549 A069890 * A040551 A157981 A040523

Adjacent sequences: A040547 A040548 A040549 * A040551 A040552 A040553

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved