%I A125726
%S A125726 1,4,9,10,11,16,17,18,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
               38,
%T A125726 39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
               62,
%U A125726 63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
               86
%N A125726 Call n Egyptian if we can partition n = x_1+x_2+...+x_k into positive 
               integers x_i such that Sum_{i=1..k} 1/x_i = 1; sequence gives Egyptian 
               numbers.
%D A125726 R. L. Graham, A theorem on partitions, J. Austral. Math. Soc., 4 (1963), 
               435-441.
%D A125726 J. D. E. Konhauser et al., Which Way Did the Bicycle Go?, MAA 1996, p. 
               147.
%D A125726 See also R. K. Guy, Unsolved Problems Number Theory, Sect. D11.
%H A125726 Phorum5, <a href="http://les-mathematiques.u-strasbg.fr/phorum5/read.php?5,
               351823">Nombres remarquables</a>
%H A125726 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               EgyptianNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A125726 <a href="Sindx_Ed.html#Egypt">Index entries for sequences related to 
               Egyptian fractions</a>
%e A125726 1=1/3+1/3+1/3, so 3+3+3=9 is Egyptian.
%Y A125726 Complement of A028229.
%Y A125726 Sequence in context: A166498 A062371 A046030 this_sequence A155879 A086390 
               A038029
%Y A125726 Adjacent sequences: A125723 A125724 A125725 this_sequence A125727 A125728 
               A125729
%K A125726 nonn
%O A125726 1,2
%A A125726 Jan RUCKA (jan_rucka(AT)hotmail.com), Feb 06 2007