A040583 Continued fraction for sqrt(608).

24, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 1, 1, 1, 11, 1, 1, 1, 48, 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 (0,0,0,0,0,0,0,1).

Formula

From Amiram Eldar, Dec 27 2023: (Start)

Multiplicative with a(2) = 1, a(4) = 11, a(2^e) = 48 for e >= 3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 5/2^(2*s-1) + 37/2^(3*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(608)), confrac);

Mathematica

ContinuedFraction[Sqrt[608], 120] (* or *) PadRight[{24}, 120, {48, 1, 1, 1, 11, 1, 1, 1}] (* Harvey P. Dale, Jul 05 2017 *)

Crossrefs

Sequence in context: A305762 A040582 A102914 * A074466 A040579 A040580

Adjacent sequences: A040580 A040581 A040582 * A040584 A040585 A040586

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved