A010194 Continued fraction for sqrt(135).

11, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• easy
• mult

Links

• 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).

Crossrefs

Cf. A140248.

Programs

Mathematica

ContinuedFraction[Sqrt[135],300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011 *)
PadRight[{11},120,{22,1,1,1,1,1,1,1}] (* Harvey P. Dale, Feb 24 2018 *)

Formula

From Amiram Eldar, Nov 15 2023: (Start)

Multiplicative with a(2^e) = 1 if e <=2 and 22 otherwise, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 21/8^s). (End)