A010209 Continued fraction for sqrt(160).

12, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5, 1, 1, 1, 24, 1, 1, 1, 5

Offset

0,1

Links

Table of n, a(n) for n=0..76.

G. Xiao, Contfrac.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Nov 22 2023: (Start)

Multiplicative with a(2) = 1, a(4) = 5, a(2^e) = 24 for e >= 3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/4^(s-1) + 19/8^s). (End)

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

ContinuedFraction[Sqrt[160], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011 *)

Crossrefs

Sequence in context: A327154 A334731 A335948 * A058306 A010207 A010206

Adjacent sequences: A010206 A010207 A010208 * A010210 A010211 A010212

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved