A059809 Numbers that do not contain exactly the same digits in two different smaller bases.

2, 3, 4, 5, 6, 8, 10, 12, 14, 18, 20, 24, 32, 48, 60, 72, 168, 720

Offset: 1

Author

Erich Friedman, Feb 24 2001

Keywords

• base
• nonn
• fini
• full

Comments

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

Examples

			8 written in bases 2 through 7 is 1000, 22, 20, 13, 12, 11 and none of these are permutations of another one.
		

Links

• Sascha Kurz, A059809 is finite (shows that there are no other terms) [Broken link]

Crossrefs

Cf. A059808.

Extensions

More terms from Naohiro Nomoto, Oct 04 2001, who remarks that there are no others < 10000.

Offset set to 1 by Michel Marcus, Aug 03 2015