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%I #13 Jul 11 2022 08:36:44
%S 3,10,113,14998,256725552,79495118506361081,
%T 6480268330692915629803793658671757,
%U 984530327504354982944576316519560092815242586628365115582359837408754
%N Egyptian fraction representation for the cube root of 3.
%C Generated with Perl's Math::BigFloat module. Number of digits in terms is as follows: 1, 2, 3, 5, 9, 17, 34, 69, 139, 278, ...
%H Amiram Eldar, <a href="/A132480/b132480.txt">Table of n, a(n) for n = 1..11</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EgyptianFraction.html">Egyptian Fraction</a>.
%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>.
%e Fractional part of 3^(1/3) = 1/3 + 1/10 + 1/113 + ...
%t lst={};k=N[3^(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 *)
%Y Cf. A002581.
%K frac,nonn
%O 1,1
%A Jonathan Wellons (wellons(AT)gmail.com), Aug 23 2007
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