A010229 Continued fraction for sqrt(187).

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

Offset

0,1

Links

Table of n, a(n) for n=0..69.

G. Xiao, Contfrac.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

Formula

From Amiram Eldar, Nov 22 2023: (Start)

Multiplicative with a(2^e) = 2, a(3^e) = 13, and a(p^e) = 1 for p >= 5.

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

Mathematica

ContinuedFraction[Sqrt[187], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 28 2011 *)
PadRight[{13}, 120, {26, 1, 2, 13, 2, 1}] (* Harvey P. Dale, Jan 23 2019 *)

Crossrefs

Sequence in context: A010231 A010230 A030166 * A188888 A089568 A010232

Adjacent sequences: A010226 A010227 A010228 * A010230 A010231 A010232

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved