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%I #5 Mar 30 2012 17:37:52
%S 3,4,6,16,31,43,67,79,163,175,223,235,343,475,487,559,823,847,967,979,
%T 1027,1195,1279,2455,2575,2611,2899,3163,3199,3511,3643,3691,5383,
%U 5395,5647,6499,7819,8287,8479,8563,8599,9007,9091,9115,10483,11011
%N a(n) is the smallest positive integer such that no term in S={a(1),...,a(n)}, n>=3, divides the sum of any two other distinct terms of S, after first initializing the sequence with a(1)=3 and a(2)=4.
%e a(3) cannot be 5, since 4 divides 3+5; but a(3)=6 since 3 does not divide 4+6, 4 does not divide 3+6 and 6 does not divide 3+4.
%K nonn
%O 1,1
%A _John W. Layman_, Mar 26 2002
%E Corrected by _T. D. Noe_, Oct 25 2006
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