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%I #13 Jul 07 2016 23:54:48
%S 2,3,4,6,6,8,10,12,12,14,12,15,18,24,20,22,30,24,26,24,42,30,30,28,34,
%T 30,30,38,36,40,42,39,40,46,40,60,50,44,60,54,60,51,58,60,70,62,60,56,
%U 66
%N Let 2/(2n+1) = 1/i + 1/j + 1/k + ... with i < j < k < ... be the ancient Egyptian way of writing this fraction; sequence gives value of i.
%C The rules for constructing this "Egyptian fraction" are quite involved - see for example the Brown link.
%D Ahmes, circa 1650 BC (The Rhind Mathematical Papyrus in British Museum).
%H K. S. Brown, <a href="http://www.mathpages.com/home/kmath340/kmath340.htm">The Rhind Papyrus 2/N Table</a>
%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fractions/egyptian.html">Egyptian Fractions</a>
%H S. C. Williams, <a href="http://www.math.buffalo.edu/mad/Ancient-Africa/best-egyptian-fraction.html">The Best Egyptian Fractions</a>
%e 2/3 = 1/2+1/6, 2/5 = 1/3+1/15, 2/7 = 1/4+1/28, 2/9 = 1/6+1/18, 2/11 = 1/6+1/66, 2/13 = 1/8+1/52+1/104, ...
%K nonn
%O 1,1
%A _N. J. A. Sloane_, based on a suggestion from _Ed Pegg Jr_, Jun 21 2004
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