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

0,3

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.

Links

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

Example

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.

Crossrefs

Cf. A095205, A120126.

Cf. A095204 (strictly increasing version).

Sequence in context: A039229 A054659 A331989 * A345227 A333832 A095204

Adjacent sequences: A120122 A120123 A120124 * A120126 A120127 A120128

Keyword

base,nonn,look

Author

Franklin T. Adams-Watters, Jun 09 2006

Status

approved