A040458 Continued fraction for sqrt(480).

21, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 1, 42, 1, 9, 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 26 2023: (Start)

Multiplicative with a(2) = 9, a(2^e) = 42 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-3) + 33/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(480)), confrac);

Mathematica

ContinuedFraction[Sqrt[480], 100] (* or *) PadRight[{21}, 100, {42, 1, 9, 1}] (* Harvey P. Dale, Nov 17 2014 *)

Crossrefs

Sequence in context: A040455 A040456 A040457 * A093192 A040459 A040460

Adjacent sequences: A040455 A040456 A040457 * A040459 A040460 A040461

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved