A040854 Continued fraction for sqrt(884).

29, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1, 58, 1, 2, 1, 2, 1, 2, 1

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Jan 16 2024: (Start)

Multiplicative with a(2) = a(4) = 2, a(2^e) = 58 for e >=3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 7/2^(3*s-3)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(884)), confrac);

Mathematica

ContinuedFraction[Sqrt[884], 120] (* or *) PadRight[{29}, 120, {58, 1, 2, 1, 2, 1, 2, 1}] (* Harvey P. Dale, Dec 15 2023 *)

Crossrefs

Sequence in context: A040842 A040841 A040853 * A040855 A040852 A040851

Adjacent sequences: A040851 A040852 A040853 * A040855 A040856 A040857

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved