A040551 Continued fraction for sqrt(575).

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

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 (0,1).

Formula

From Amiram Eldar, Dec 27 2023: (Start)

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

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(575)), confrac);

Mathematica

ContinuedFraction[Sqrt[575], 100] (* or *) PadRight[{23}, 100, {46, 1}] (* Harvey P. Dale, Aug 12 2023 *)

Crossrefs

Sequence in context: A040549 A069890 A040550 * A157981 A040523 A040522

Adjacent sequences: A040548 A040549 A040550 * A040552 A040553 A040554

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved