A040860 Continued fraction for sqrt(890).

29, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 1, 58, 1, 4, 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, Jan 17 2024: (Start)

Multiplicative with a(2) = 4, a(2^e) = 58 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^s + 27/2^(2*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(890)), confrac);

Mathematica

ContinuedFraction[Sqrt[890], 120] (* or *) PadRight[{29}, 120, {58, 1, 4, 1}] (* Harvey P. Dale, Apr 08 2019 *)

Crossrefs

Sequence in context: A040857 A040858 A040856 * A040859 A040861 A040862

Adjacent sequences: A040857 A040858 A040859 * A040861 A040862 A040863

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved