%I #17 Apr 23 2015 13:35:51
%S 1,16,32,96,144,576,4032,4096,4608,32256,32768,36288,36864,40320,
%T 40960,41472,129600,131072,147456,157216,166464
%N The greedy sequence of real numbers at least 1 that do not contain any 5-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, ar^3, ar^4} 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,more
%O 1,2
%A _Kevin O'Bryant_, Jan 03 2014