A040693 Continued fraction for sqrt(720).

26, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 1, 52, 1, 4, 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) = 4, 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 + 3/2^(2*s-4)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(720)), confrac);

Mathematica

ContinuedFraction[Sqrt[720], 100] (* Amiram Eldar, Jan 03 2024 *)

Crossrefs

Sequence in context: A040690 A040689 A140889 * A040692 A040694 A255863

Adjacent sequences: A040690 A040691 A040692 * A040694 A040695 A040696

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved