A040643 Continued fraction for sqrt(669).

25, 1, 6, 2, 2, 3, 1, 9, 1, 1, 2, 1, 12, 4, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 4, 12, 1, 2, 1, 1, 9, 1, 3, 2, 2, 6, 1, 50, 1, 6, 2, 2, 3, 1, 9, 1, 1, 2, 1, 12, 4, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 4, 12, 1, 2, 1, 1, 9, 1, 3, 2, 2, 6, 1, 50, 1, 6, 2, 2, 3, 1, 9, 1, 1, 2, 1, 12

Offset

0,1

Links

Table of n, a(n) for n=0..88.

Index entries for continued fractions for constants

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(669)), confrac);

Mathematica

ContinuedFraction[Sqrt[669], 100] (* Harvey P. Dale, Nov 15 2021 *)
(* Alternative: *)
PadRight[{25}, 100, {50, 1, 6, 2, 2, 3, 1, 9, 1, 1, 2, 1, 12, 4, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 4, 12, 1, 2, 1, 1, 9, 1, 3, 2, 2, 6, 1}] (* Harvey P. Dale, Nov 15 2021 *)

Prog

(Python)
from sympy.ntheory.continued_fraction import continued_fraction_iterator
from sympy import sqrt
def A040643():
    yield from continued_fraction_iterator(sqrt(669)) # Aidan Chen, Dec 29 2025

Crossrefs

Sequence in context: A040640 A098472 A040642 * A040644 A040645 A040646

Adjacent sequences: A040640 A040641 A040642 * A040644 A040645 A040646

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved