A040367 Continued fraction for sqrt(387).

19, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2, 19, 2, 1, 38, 1, 2

Offset

0,1

Links

Table of n, a(n) for n=0..80.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Dec 20 2023: (Start)

Multiplicative with a(2^e) = 2, a(3^e) = 19, and a(p^e) = 1 for p >= 5.

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(387)), confrac);

Mathematica

ContinuedFraction[Sqrt[387], 100] (* Amiram Eldar, Dec 20 2023 *)

Crossrefs

Sequence in context: A040369 A040370 A040368 * A040372 A040371 A040373

Adjacent sequences: A040364 A040365 A040366 * A040368 A040369 A040370

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved