A010195 Continued fraction for sqrt(136).

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

Dirichlet g.f.: zeta(s) * (1 + 21/4^s). (End)

Mathematica

ContinuedFraction[Sqrt[136], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011 *)
PadRight[{11}, 120, {22, 1, 1, 1}] (* Harvey P. Dale, Jun 15 2017 *)

Crossrefs

Sequence in context: A107045 A351449 A145140 * A010193 A214679 A332499

Adjacent sequences: A010192 A010193 A010194 * A010196 A010197 A010198

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved