A010231 Continued fraction for sqrt(189).

13, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1, 26, 1, 2, 1

Offset

0,1

Links

Table of n, a(n) for n=0..71.

G. Xiao, Contfrac.

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 22 2023: (Start)

Multiplicative with a(2) = 2, a(2^e) = 26 for e >= 2, and a(p^e) = 1 for an odd prime p.

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

Mathematica

ContinuedFraction[Sqrt[189], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 28 2011 *)

Crossrefs

Sequence in context: A174791 A015132 A066036 * A010230 A030166 A010229

Adjacent sequences: A010228 A010229 A010230 * A010232 A010233 A010234

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved