A040379 Continued fraction for sqrt(399).

19, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38

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 20 2023: (Start)

Multiplicative with a(2^e) = 38, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 37/2^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(399)), confrac);

Mathematica

ContinuedFraction[Sqrt[399], 100] (* Amiram Eldar, Dec 20 2023 *)

Crossrefs

Sequence in context: A040377 A040378 A248124 * A210938 A223521 A018939

Adjacent sequences: A040376 A040377 A040378 * A040380 A040381 A040382

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved