A010215 Continued fraction for sqrt(167).

12, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 1, 11, 1, 24, 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) = 11, a(2^e) = 24 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 5/2^(s-1) + 13/4^s). (End)

Mathematica

ContinuedFraction[Sqrt[167], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 25 2011 *)

Crossrefs

Sequence in context: A245839 A068329 A334074 * A059857 A322762 A070649

Adjacent sequences: A010212 A010213 A010214 * A010216 A010217 A010218

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved