A040208 Continued fraction for sqrt(223).

14, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 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, Nov 29 2023: (Start)

Multiplicative with a(2) = 13, a(2^e) = 28 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 15/4^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(223)), confrac);

Mathematica

ContinuedFraction[Sqrt[223], 100] (* Amiram Eldar, Nov 29 2023 *)

Crossrefs

Sequence in context: A040206 A040207 A036163 * A097181 A040209 A071713

Adjacent sequences: A040205 A040206 A040207 * A040209 A040210 A040211

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved