A040850 Continued fraction for sqrt(880).

29, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 1, 58, 1, 1, 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, Jan 10 2024: (Start)

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

Dirichlet g.f.: zeta(s) * (1 + 57/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(880)), confrac);

Mathematica

ContinuedFraction[Sqrt[880], 90] (* or *) PadRight[{29}, 90, {58, 1, 1, 1}] (* Harvey P. Dale, Jan 17 2013 *)

Crossrefs

Sequence in context: A040847 A040848 A040849 * A040845 A040846 A040844

Adjacent sequences: A040847 A040848 A040849 * A040851 A040852 A040853

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved