A040561 Continued fraction for sqrt(586).

24, 4, 1, 4, 1, 1, 2, 1, 2, 7, 1, 2, 2, 1, 7, 2, 1, 2, 1, 1, 4, 1, 4, 48, 4, 1, 4, 1, 1, 2, 1, 2, 7, 1, 2, 2, 1, 7, 2, 1, 2, 1, 1, 4, 1, 4, 48, 4, 1, 4, 1, 1, 2, 1, 2, 7, 1, 2, 2, 1, 7, 2, 1, 2, 1, 1, 4, 1, 4, 48, 4, 1, 4, 1, 1, 2, 1, 2, 7, 1, 2, 2, 1, 7, 2, 1, 2, 1, 1, 4, 1, 4

Offset

0,1

Links

Table of n, a(n) for n=0..91.

Index entries for continued fractions for constants

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

Formula

a(n) = a(n-23). - Wesley Ivan Hurt, Apr 18 2023

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(586)), confrac);

Mathematica

ContinuedFraction[Sqrt[586], 100] (* Paolo Xausa, Oct 23 2025 *)

Crossrefs

Cf. A042122, A042123 (convergents).

Sequence in context: A126653 A040567 A317324 * A040562 A267285 A040563

Adjacent sequences: A040558 A040559 A040560 * A040562 A040563 A040564

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane

Status

approved