A040297 Continued fraction for sqrt(315).

17, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1, 34, 1, 2, 1

Offset

0,1

Links

Table of n, a(n) for n=0..83.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Dec 10 2023: (Start)

Multiplicative with a(2) = 2, a(2^e) = 34 for e >= 2, and a(p^e) = 1 for an odd prime p.

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(315)), confrac);

Mathematica

ContinuedFraction[Sqrt[315], 100] (* Amiram Eldar, Dec 10 2023 *)

Crossrefs

Sequence in context: A172196 A056110 A040296 * A239866 A040295 A040298

Adjacent sequences: A040294 A040295 A040296 * A040298 A040299 A040300

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved