A040593 Continued fraction for sqrt(618).

24, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6, 8, 6, 1, 48, 1, 6

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Jan 03 2024: (Start)

Multiplicative with a(2^e) = 6, a(3^e) = 8, and a(p^e) = 1 for prime p >= 5.

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(618)), confrac);

Mathematica

ContinuedFraction[Sqrt[618], 100] (* or *) PadRight[{24}, 100, {48, 1, 6, 8, 6, 1}] (* Harvey P. Dale, May 31 2021 *)

Crossrefs

Sequence in context: A303712 A040591 A040592 * A040594 A040595 A040596

Adjacent sequences: A040590 A040591 A040592 * A040594 A040595 A040596

Keyword

nonn,cofr,easy,mult,less

Author

N. J. A. Sloane

Status

approved