A010199 Continued fraction for sqrt(140).

11, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 1, 22, 1, 4, 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 15 2023: (Start)

Multiplicative with a(2) = 4, a(2^e) = 22 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^s + 9/2^(2*s-1)). (End)

Mathematica

ContinuedFraction[Sqrt[140], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011 *)

Crossrefs

Sequence in context: A204846 A127991 A110305 * A010200 A086320 A185540

Adjacent sequences: A010196 A010197 A010198 * A010200 A010201 A010202

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved