A040595 Continued fraction for sqrt(620).

24, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 1, 48, 1, 8, 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) = 8, a(2^e) = 48 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 7/2^s + 5/2^(2*s-3)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(620)), confrac);

Mathematica

ContinuedFraction[Sqrt[620], 120] (* or *) PadRight[{24}, 120, {48, 1, 8, 1}] (* Harvey P. Dale, Dec 18 2015 *)

Crossrefs

Sequence in context: A040592 A040593 A040594 * A040596 A040597 A036166

Adjacent sequences: A040592 A040593 A040594 * A040596 A040597 A040598

Keyword

nonn,cofr,easy,mult,less

Author

N. J. A. Sloane

Status

approved