A040155 Continued fraction for sqrt(168).

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

Offset

0,1

Links

Table of n, a(n) for n=0..65.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Nov 22 2023: (Start)

Multiplicative with a(2^e) = 24, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 23/2^s). (End)

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

ContinuedFraction[Sqrt[168], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 25 2011 *)
PadRight[{12}, 120, {24, 1}] (* Harvey P. Dale, Dec 17 2013 *)

Crossrefs

Sequence in context: A056583 A281823 A139724 * A036185 A013619 A092527

Adjacent sequences: A040152 A040153 A040154 * A040156 A040157 A040158

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved