A010211 - OEIS

A010211

Continued fraction for sqrt(162).

12, 1, 2, 1, 2, 12, 2, 1, 2, 1, 24, 1, 2, 1, 2, 12, 2, 1, 2, 1, 24, 1, 2, 1, 2, 12, 2, 1, 2, 1, 24, 1, 2, 1, 2, 12, 2, 1, 2, 1, 24, 1, 2, 1, 2, 12, 2, 1, 2, 1, 24, 1, 2, 1, 2, 12, 2, 1, 2, 1, 24, 1, 2, 1, 2, 12, 2, 1, 2, 1, 24, 1, 2, 1, 2

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..74.

G. Xiao, Contfrac.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1).

FORMULA

From Amiram Eldar, Nov 22 2023: (Start)

Multiplicative with a(2^e) = 2, a(5^e) = 12, and a(p^e) = 1 for an odd prime != 5.

Dirichlet g.f.: zeta(s) * (1 + 1/2^s) * (1 + 11/5^s). (End)

MATHEMATICA

ContinuedFraction[Sqrt[162], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011 *)

PadRight[{12}, 120, {24, 1, 2, 1, 2, 12, 2, 1, 2, 1}] (* Harvey P. Dale, Sep 26 2017 *)

CROSSREFS

Sequence in context: A015129 A172376 A289673 * A335503 A066786 A109015

Adjacent sequences: A010208 A010209 A010210 * A010212 A010213 A010214

KEYWORD

nonn,cofr,easy,mult

AUTHOR

N. J. A. Sloane

STATUS

approved