A053342 Continued fraction for sqrt(1729).

41, 1, 1, 2, 1, 1, 2, 1, 2, 1, 8, 1, 1, 27, 5, 6, 5, 27, 1, 1, 8, 1, 2, 1, 2, 1, 1, 2, 1, 1, 82, 1, 1, 2, 1, 1, 2, 1, 2, 1, 8, 1, 1, 27, 5, 6, 5, 27, 1, 1, 8, 1, 2, 1, 2, 1, 1, 2, 1, 1, 82, 1, 1, 2, 1, 1, 2, 1, 2, 1, 8, 1, 1, 27, 5, 6, 5, 27, 1, 1, 8, 1, 2, 1, 2, 1, 1, 2, 1, 1

Offset

0,1

References

R. A. Mollin, Quadratics, CRC Press, 1996, Example 3.5.1.

Links

G. C. Greubel, Table of n, a(n) for n = 0..9999

Index entries for continued fractions for constants

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

Example

sqrt(1729) = 41.581245772583581890280209185471647... .

Mathematica

ContinuedFraction[Sqrt[1729], 90] (* Harvey P. Dale, Dec 18 2013 *)

Prog

(PARI) contfrac(sqrt(1729)) \\ G. C. Greubel, May 24 2018
(Magma) ContinuedFraction(Sqrt(1729)); // G. C. Greubel, May 24 2018

Crossrefs

Sequence in context: A116101 A167265 A214337 * A297205 A391477 A283895

Adjacent sequences: A053339 A053340 A053341 * A053343 A053344 A053345

Keyword

nonn,cofr

Author

N. J. A. Sloane, Jan 05 2000

Extensions

Offset set to 0 by Andrew Howroyd, Nov 30 2025

Status

approved