A040271 Continued fraction for sqrt(288).

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

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, Dec 10 2023: (Start)

Multiplicative with a(2^e) = 32, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 31/2^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(288)), confrac);

Mathematica

ContinuedFraction[Sqrt[288], 100] (* or *) PadRight[{16}, 100, {32, 1}] (* Harvey P. Dale, Nov 05 2022 *)

Crossrefs

Sequence in context: A002651 A097522 A302153 * A329927 A036179 A309132

Adjacent sequences: A040268 A040269 A040270 * A040272 A040273 A040274

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved