A010236 Continued fraction for sqrt(194).

13, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1, 12, 1, 26, 1

Offset

0,1

Links

Table of n, a(n) for n=0..65.

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) = 12, a(2^e) = 26 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 11/2^s + 7/2^(2*s-1). (End)

Mathematica

ContinuedFraction[Sqrt[194], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 28 2011 *)

Crossrefs

Sequence in context: A010235 A196381 A013570 * A058018 A037283 A278634

Adjacent sequences: A010233 A010234 A010235 * A010237 A010238 A010239

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved