A040131 Continued fraction for sqrt(143).

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

Dirichlet g.f.: zeta(s) * (1 + 21/2^s). (End)

Maple

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

Mathematica

ContinuedFraction[Sqrt[143], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011*)

Crossrefs

Sequence in context: A201132 A212488 A178243 * A282868 A013618 A014467

Adjacent sequences: A040128 A040129 A040130 * A040132 A040133 A040134

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved