A040460 Continued fraction for sqrt(482).

21, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20, 1, 42, 1, 20

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 (0,0,0,1).

Formula

From Amiram Eldar, Dec 26 2023: (Start)

Multiplicative with a(2) = 20, a(2^e) = 42 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 19/2^s + 11/2^(2*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(482)), confrac);

Mathematica

ContinuedFraction[Sqrt[482], 120] (* or *) PadRight[{21}, 120, {42, 1, 20, 1}] (* Harvey P. Dale, Aug 20 2015 *)

Crossrefs

Sequence in context: A040458 A093192 A040459 * A040461 A260531 A252939

Adjacent sequences: A040457 A040458 A040459 * A040461 A040462 A040463

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved