A040866 Continued fraction for sqrt(896).

29, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13

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 (0,0,0,1).

Formula

From Amiram Eldar, Jan 17 2024: (Start)

Multiplicative with a(2) = 13, a(2^e) = 58 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 45/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(896)), confrac);

Mathematica

ContinuedFraction[Sqrt[896], 100] (* or *) PadRight[{29}, 100, {58, 1, 13, 1}] (* Harvey P. Dale, Mar 14 2014 *)

Crossrefs

Sequence in context: A040863 A040864 A040865 * A040867 A040868 A169980

Adjacent sequences: A040863 A040864 A040865 * A040867 A040868 A040869

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved