A040376 Continued fraction for sqrt(396).

19, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 1, 38, 1, 8, 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) = 8, a(2^e) = 38 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 7/2^s + 15/2^(2*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(396)), confrac);

Mathematica

ContinuedFraction[Sqrt[396], 100] (* Amiram Eldar, Dec 20 2023 *)

Crossrefs

Sequence in context: A040374 A040375 A256642 * A040377 A377613 A040378

Adjacent sequences: A040373 A040374 A040375 * A040377 A040378 A040379

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved