A040265 Continued fraction for sqrt(282).

16, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1, 32, 1, 3, 1, 4, 1, 3, 1

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Dec 09 2023: (Start)

Multiplicative with a(2) = 3, a(4) = 4, a(2^e) = 32 for e >= 3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1) + 1/2^(2*s) + 7/2^(3*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(282)), confrac);

Mathematica

ContinuedFraction[Sqrt[282], 100] (* Amiram Eldar, Dec 09 2023 *)

Crossrefs

Sequence in context: A082696 A040262 A040261 * A040264 A040266 A103922

Adjacent sequences: A040262 A040263 A040264 * A040266 A040267 A040268

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved