A040599 Continued fraction for sqrt(624).

24, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48

Offset

0,1

Links

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Jan 03 2024: (Start)

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

Dirichlet g.f.: zeta(s) * (1 + 47/2^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(624)), confrac);

Mathematica

ContinuedFraction[Sqrt[624], 120] (* or *) PadRight[{24}, 120, {48, 1}] (* Harvey P. Dale, Sep 30 2016 *)

Crossrefs

Sequence in context: A097190 A103903 A280631 * A076721 A232988 A292781

Adjacent sequences: A040596 A040597 A040598 * A040600 A040601 A040602

Keyword

nonn,cofr,easy,mult,less

Author

N. J. A. Sloane

Status

approved