A040683 Continued fraction for sqrt(710).

26, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1, 52, 1, 1, 1, 4, 1, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1).

Formula

From Amiram Eldar, Jan 03 2024: (Start)

Multiplicative with a(2) = 1, a(4) = 4, a(2^e) = 52 for e >= 3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^(2*s) + 3/2^(3*s-4)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(710)), confrac);

Mathematica

ContinuedFraction[Sqrt[710], 100] (* Amiram Eldar, Jan 03 2024 *)

Crossrefs

Sequence in context: A217232 A040681 A040682 * A040684 A050450 A040680

Adjacent sequences: A040680 A040681 A040682 * A040684 A040685 A040686

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved