A040684 Continued fraction for sqrt(711).

26, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 1, 52, 1, 1, 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, Jan 03 2024: (Start)

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

Dirichlet g.f.: zeta(s) * (1 + 51/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(711)), confrac);

Mathematica

ContinuedFraction[Sqrt[711], 100] (* or *) PadRight[{26}, 120, {52, 1, 1, 1}] (* Harvey P. Dale, Jul 31 2012 *)

Crossrefs

Sequence in context: A040681 A040682 A040683 * A050450 A040680 A040679

Adjacent sequences: A040681 A040682 A040683 * A040685 A040686 A040687

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved