Post #62
(ISO)
» Wed Oct 09, 2019 11:37 am
[56, 57, 64] integers n for which there exists some integer m such that (n-1)/3^{m} and (n-2)/3^{m} are each endpoints of intervals removed during (possibly different) steps of the usual construction of the Cantor set (i.e. the construction in which each step removes the middle third of intervals existing after the previous step)
56: (1/3, 2/3) = (27/81, 54/81) is removed in step 1, (55/81, 56/81) is removed in step 4
57: (55/81, 56/81) is removed in step 4
64: (61/81, 62/81) is removed in step 4, (7/9, 8/9) = (63/81, 72/81) is removed in step 2
kero kero