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A059809
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Numbers that do not contain exactly the same digits in two different smaller bases.
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6
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2, 3, 4, 5, 6, 8, 10, 12, 14, 18, 20, 24, 32, 48, 60, 72, 168, 720
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OFFSET
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1,1
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COMMENTS
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Also numbers that cannot be expressed as the two-digit numbers a b (base r) and b a (base s) for two different smaller bases r and s (i.e., 2-digit "reversals"), and the numbers that cannot be expressed as "reversals" of any length for two different smaller bases. I can prove this. - Francis J. McDonnell, Jul 28 2015
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LINKS
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EXAMPLE
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8 written in bases 2 through 7 is 1000, 22, 20, 13, 12, 11 and none of these are permutations of another one.
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CROSSREFS
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KEYWORD
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base,nonn,fini,full
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AUTHOR
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EXTENSIONS
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More terms from Naohiro Nomoto, Oct 04 2001, who remarks that there are no others < 10000.
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STATUS
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approved
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