A040370 Continued fraction for sqrt(390).

19, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 1, 38, 1, 2, 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, Dec 20 2023: (Start)

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

Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 9/2^(2*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(390)), confrac);

Mathematica

ContinuedFraction[Sqrt[390], 90] (* Harvey P. Dale, Jun 18 2011 *)

Crossrefs

Sequence in context: A022182 A015145 A040369 * A040368 A040367 A040372

Adjacent sequences: A040367 A040368 A040369 * A040371 A040372 A040373

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved