A040270 Continued fraction for sqrt(287).

16, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15

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 (0,0,0,1).

Formula

From Amiram Eldar, Dec 10 2023: (Start)

Multiplicative with a(2) = 15, a(2^e) = 32 for e >= 2, and a(p^e) = 1 for p >= 5.

Dirichlet g.f.: zeta(s) * (1 + 7/2^(s-1) + 17/4^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(287)), confrac);

Mathematica

ContinuedFraction[Sqrt[287], 120] (* or *) PadRight[{16}, 120, {32, 1, 15, 1}] (* Harvey P. Dale, Sep 15 2017 *)

Crossrefs

Sequence in context: A040269 A360028 A141682 * A303327 A070539 A301909

Adjacent sequences: A040267 A040268 A040269 * A040271 A040272 A040273

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved