A010234 Continued fraction for sqrt(192).

13, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 1, 26, 1, 5, 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) = 5, 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-2) + 21/4^s). (End)

Mathematica

ContinuedFraction[Sqrt[192], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 28 2011 *)
PadRight[{13}, 120, {26, 1, 5, 1}] (* Harvey P. Dale, May 15 2021 *)

Crossrefs

Sequence in context: A010233 A159820 A116993 * A111738 A202134 A185409

Adjacent sequences: A010231 A010232 A010233 * A010235 A010236 A010237

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved