A040855 Continued fraction for sqrt(885).

29, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 1, 58, 1, 2, 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 17 2024: (Start)

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

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(885)), confrac);

Mathematica

ContinuedFraction[Sqrt[885], 100] (* Harvey P. Dale, Apr 14 2012 *)
PadRight[{29}, 120, {58, 1, 2, 1}] (* Harvey P. Dale, Sep 30 2019 *)

Crossrefs

Sequence in context: A040841 A040853 A040854 * A040852 A040851 A040857

Adjacent sequences: A040852 A040853 A040854 * A040856 A040857 A040858

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved