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 A235057 The greedy sequence of real numbers at least 1 that do not contain any 6-term geometric progressions with integer ratio. 0
 1, 32, 64, 243, 288, 576, 729, 1152, 2048, 3645, 4000, 10240, 20736, 21952, 92160, 100000, 102400, 207360, 219520, 518400, 548800, 921600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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, ar^5} with r an integer. LINKS Table of n, a(n) for n=1..22. M. B. Nathanson, K. O'Bryant, A problem of Rankin on sets without geometric progressions, arXiv preprint arXiv:1408.2880, 2014 CROSSREFS A235054 through A235060 give the greedy sets avoiding k-term geometric progressions for 3 <= k <= 9. Sequence in context: A076469 A256819 A358250 * A339358 A249116 A110562 Adjacent sequences: A235054 A235055 A235056 * A235058 A235059 A235060 KEYWORD nonn,more AUTHOR Kevin O'Bryant, Jan 03 2014 STATUS approved

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Last modified August 3 08:07 EDT 2024. Contains 374885 sequences. (Running on oeis4.)