A040205 Continued fraction for sqrt(220).

14, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 1, 28, 1, 4, 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, Nov 29 2023: (Start)

Multiplicative with a(2) = 4, a(2^e) = 28 for e >= 2, and a(p^e) = 1 for an odd prime p.

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(220)), confrac);

Mathematica

ContinuedFraction[Sqrt[220], 100] (* Amiram Eldar, Nov 29 2023 *)

Crossrefs

Sequence in context: A160495 A040204 A040203 * A171693 A235704 A229199

Adjacent sequences: A040202 A040203 A040204 * A040206 A040207 A040208

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved