A040372 Continued fraction for sqrt(392).

19, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 1, 38, 1, 3, 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) = 3, 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-1) + 35/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(392)), confrac);

Mathematica

ContinuedFraction[Sqrt[392], 120] (* Harvey P. Dale, Nov 21 2019 *)
(* Alternative: *)
PadRight[{19}, 120, {38, 1, 3, 1}] (* Harvey P. Dale, Nov 21 2019 *)

Crossrefs

Sequence in context: A040370 A040368 A040367 * A040371 A040373 A040374

Adjacent sequences: A040369 A040370 A040371 * A040373 A040374 A040375

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved