A040239 Continued fraction for sqrt(255).

15, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30

Offset

0,1

Links

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

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Nov 29 2023: (Start)

Multiplicative with a(2^e) = 30, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 29/2^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(255)), confrac);

Mathematica

ContinuedFraction[Sqrt[255], 90] (* Harvey P. Dale, Dec 25 2011 *)

Crossrefs

Sequence in context: A225762 A040238 A201460 * A126141 A131514 A049327

Adjacent sequences: A040236 A040237 A040238 * A040240 A040241 A040242

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved