A040865 Continued fraction for sqrt(895).

29, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10, 1, 58, 1, 10

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, Jan 17 2024: (Start)

Multiplicative with a(2) = 10, a(2^e) = 58 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 9/2^s + 3/2^(2*s-4)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(895)), confrac);

Mathematica

ContinuedFraction[Sqrt[895], 120] (* or *) PadRight[{29}, 120, {58, 1, 10, 1}] (* Harvey P. Dale, Dec 29 2015 *)

Crossrefs

Sequence in context: A040862 A040863 A040864 * A040866 A040867 A040868

Adjacent sequences: A040862 A040863 A040864 * A040866 A040867 A040868

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved