A040590 Continued fraction for sqrt(615).

24, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 1, 48, 1, 3, 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, Dec 27 2023: (Start)

Multiplicative with a(2) = 3, a(2^e) = 48 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1) + 45/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(615)), confrac);

Mathematica

ContinuedFraction[Sqrt[615], 100] (* or *) PadRight[{24}, 100, {48, 1, 3, 1}] (* Harvey P. Dale, Feb 02 2022 *)

Crossrefs

Sequence in context: A040585 A040584 A040589 * A040588 A303712 A040591

Adjacent sequences: A040587 A040588 A040589 * A040591 A040592 A040593

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved