A010194 - OEIS

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

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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 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)

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 *)

CROSSREFS

Cf. A140248.

Sequence in context: A321804 A321800 A130837 * A280443 A107045 A351449

Adjacent sequences: A010191 A010192 A010193 * A010195 A010196 A010197

KEYWORD

nonn,cofr,easy,mult

AUTHOR

N. J. A. Sloane

STATUS

approved