A040699 Continued fraction for sqrt(726).

26, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16

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, Jan 10 2024: (Start)

Multiplicative with a(2) = 16, a(2^e) = 52 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 3/2^s + 9/2^(2*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(726)), confrac);

Mathematica

ContinuedFraction[Sqrt[726], 100] (* or *) PadRight[{26}, 100, {52, 1, 16, 1}] (* Harvey P. Dale, Jul 31 2021 *)

Crossrefs

Sequence in context: A040696 A040697 A040698 * A040700 A070614 A040701

Adjacent sequences: A040696 A040697 A040698 * A040700 A040701 A040702

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved