A040378 Continued fraction for sqrt(398).

19, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18, 1, 38, 1, 18

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 (0,0,0,1).

Formula

From Amiram Eldar, Dec 20 2023: (Start)

Multiplicative with a(2) = 18, a(2^e) = 38 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 17/2^s + 5/2^(2*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(398)), confrac);

Mathematica

ContinuedFraction[Sqrt[398], 100] (* Amiram Eldar, Dec 20 2023 *)

Crossrefs

Sequence in context: A256642 A040376 A040377 * A248124 A040379 A210938

Adjacent sequences: A040375 A040376 A040377 * A040379 A040380 A040381

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved