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Continued fraction for sqrt(1729).
1

%I #18 Sep 08 2022 08:45:00

%S 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,

%T 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,

%U 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

%N Continued fraction for sqrt(1729).

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

%H G. C. Greubel, <a href="/A053342/b053342.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%H <a href="/index/Rec#order_30">Index entries for linear recurrences with constant coefficients</a>, 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).

%t ContinuedFraction[Sqrt[1729],90] (* _Harvey P. Dale_, Dec 18 2013 *)

%o (PARI) contfrac(sqrt(1729)) \\ _G. C. Greubel_, May 24 2018

%o (Magma) ContinuedFraction(Sqrt(1729)); // _G. C. Greubel_, May 24 2018

%K nonn,cofr

%O 1,1

%A _N. J. A. Sloane_, Jan 05 2000