A040869 Continued fraction for sqrt(899).

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

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 (0,1).

Formula

From Amiram Eldar, Jan 17 2024: (Start)

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

Dirichlet g.f.: zeta(s) * (1 + 57/2^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(899)), confrac);

Mathematica

ContinuedFraction[Sqrt[899], 100] (* Amiram Eldar, Jan 17 2024 *)

Crossrefs

Sequence in context: A040867 A040868 A169980 * A111881 A040833 A040834

Adjacent sequences: A040866 A040867 A040868 * A040870 A040871 A040872

Keyword

nonn,cofr,mult,easy

Author

N. J. A. Sloane

Status

approved