A120125 Smallest positive integer not already in the sequence such that digits used are balanced: no digit appears more than 1 times more than any other.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 23, 45, 67, 89, 12, 30, 46, 57, 98, 13, 20, 47, 56, 189, 24, 35, 60, 78, 19, 25, 34, 68, 70, 29, 14, 36, 50, 79, 18, 26, 37, 40, 58, 39, 15, 27, 48, 69, 80, 16, 32, 49, 75, 90, 17, 28, 43, 65, 100, 38, 42, 59, 76, 21, 53, 64, 87, 109, 52, 63, 74

Offset: 0

Author

Franklin T. Adams-Watters, Jun 09 2006

Keywords

• base
• nonn
• look

Comments

Numbers where some digit occurs two times more than some other digit (such as 11) will eventually occur in this sequence; but those such as 111 where a digit occurs three times more than some other will not.

Examples

			After 56, digits 8 and 9 have been used one less time than the others. 8, 9, 89 and 98 are already used, so we need a three digit number including 8 and 9. 189 is the smallest such.
		

Links

• Frank Adams-Watters, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A095205, A120126.

Cf. A095204 (strictly increasing version).