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%I #20 Mar 26 2015 14:16:14
%S 1,4,8,9,12,24,27,32,36,40,45,48,2208,2209,2256,8832,8836,9024,17664,
%T 17672,18048,19872,19881,20304,26496,26508,27072,52992,53016,54144,
%U 59616,59643,60912,70656,70688,72192,79488,79524,81216,88320,88360,90240,99360,99405,101520,103776,103823,105984,106032,108192,108241,108288
%N The greedy sequence of real numbers at least 1 that do not contain any 3-term geometric progressions with integer ratio.
%C The union of the half-open intervals [a(2i-1),a(2i)) is the greedy set of real numbers at least 1 that does not contain any subset of the form {a, ar, ar^2} with r an integer.
%H M. B. Nathanson, K. O'Bryant, <a href="http://arxiv.org/abs/1408.2880">A problem of Rankin on sets without geometric progressions</a>, arXiv preprint arXiv:1408.2880, 2014
%Y A235054 through A235060 give the greedy sets avoiding k-term geometric progressions for 3 <= k <= 9.
%K nonn
%O 1,2
%A _Kevin O'Bryant_, Jan 03 2014
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