A040861 Continued fraction for sqrt(891).

29, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 1, 58, 1, 5, 1, 1, 1, 5, 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 17 2024: (Start)

Multiplicative with a(2) = 5, a(4) = 1, 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-2) - 1/2^(2*s-2) + 57/2^(3*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(891)), confrac);

Mathematica

ContinuedFraction[Sqrt[891], 110] (* or *) PadRight[{29}, 110, {58, 1, 5, 1, 1, 1, 5, 1}] (* Harvey P. Dale, Jan 30 2013 *)

Crossrefs

Sequence in context: A040856 A040860 A040859 * A040862 A040863 A040864

Adjacent sequences: A040858 A040859 A040860 * A040862 A040863 A040864

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved