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Egyptian fraction representation for the cube root of 17.
1

%I #6 Jan 24 2015 00:25:52

%S 2,15,217,150851,347089704930,132276284445362589279995,

%T 18180998947336210738321894480328718385391687409,

%U 331798469448615625905863103355997674623268003125463392901012846610572765829711433817898477581

%N Egyptian fraction representation for the cube root of 17.

%C Fractional part of 17^(1/3) = 1/2 + 1/15 + 1/217 + ... Generated with Perl's Math::BigFloat module. Number of digits in terms is as follows: 1, 2, 3, 6, 12, 24, 47, 93, 186, 372, ...

%e Cube root of 17 = 2.5712815906582353554531872087397261164279016324547...

%t lst={};k=N[17^(1/3),1000];Do[s=Ceiling[1/k];AppendTo[lst,s];k=k-1/s,{n,12}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 02 2009 *)

%K frac,nonn

%O 1,1

%A Jonathan Wellons (wellons(AT)gmail.com), Aug 23 2007