A040564 Continued fraction for sqrt(589).

24, 3, 1, 2, 2, 15, 1, 3, 9, 2, 4, 1, 11, 3, 6, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 6, 3, 11, 1, 4, 2, 9, 3, 1, 15, 2, 2, 1, 3, 48, 3, 1, 2, 2, 15, 1, 3, 9, 2, 4, 1, 11, 3, 6, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 6, 3, 11, 1, 4, 2, 9, 3, 1, 15, 2, 2, 1, 3, 48, 3, 1, 2, 2, 15, 1

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(589)), confrac);

Mathematica

ContinuedFraction[Sqrt[589], 100] (* Paolo Xausa, Oct 24 2025 *)

Crossrefs

Cf. A042128, A042129 (convergents).

Sequence in context: A040575 A184885 A159540 * A040565 A202397 A040566

Adjacent sequences: A040561 A040562 A040563 * A040565 A040566 A040567

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane

Status

approved