A010201 Continued fraction for sqrt(142).

11, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 1, 10, 1, 22, 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) = 10, a(2^e) = 22 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 9/2^s + 3/4^(s-1)). (End)

Mathematica

ContinuedFraction[Sqrt[142], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011 *)

Crossrefs

Sequence in context: A095193 A374332 A171250 * A228407 A231928 A231930

Adjacent sequences: A010198 A010199 A010200 * A010202 A010203 A010204

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved