Search: id:A094871
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%I A094871
%S A094871 2,3,4,6,6,8,10,12,12,14,12,15,18,24,20,22,30,24,26,24,42,30,30,28,
%T A094871 34,30,30,38,36,40,42,39,40,46,40,60,50,44,60,54,60,51,58,60,70,62,
%U A094871 60,56,66
%N A094871 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 A094871 The rules for constructing this "Egyptian fraction" are quite involved 
               - see for example the Brown link.
%D A094871 Ahmes, circa 1650 BC (The Rhind Mathematical Papyrus in British Museum).
%H A094871 K. S. Brown, <a href="http://www.mathpages.com/home/rhind.htm">The Rhind 
               Papyrus 2/N Table</a>
%H A094871 R. Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fractions/
               egyptian.html">Egyptian Fractions</a>
%H A094871 S. C. Williams, <a href="http://www.math.buffalo.edu/mad/Ancient-Africa/
               best-egyptian-fraction.html">The Best Egyptian Fractions</a>
%e A094871 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, ...
%Y A094871 Sequence in context: A112275 A034298 A092404 this_sequence A157450 A079667 
               A073061
%Y A094871 Adjacent sequences: A094868 A094869 A094870 this_sequence A094872 A094873 
               A094874
%K A094871 nonn
%O A094871 1,1
%A A094871 N. J. A. Sloane (njas(AT)research.att.com), based on a suggeston from 
               Ed Pegg, Jr. (edpegg(AT)gmail.com), Jun 21 2004

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