A297065 Starting with a(1) = 0, a(2) = 1, a(n) = smallest nonnegative integer not yet in the sequence that shares all digits with previous terms.

0, 1, 10, 100, 101, 102, 120, 201, 210, 1002, 1012, 1020, 1021, 1022, 1023, 1032, 1203, 1230, 1302, 1320, 2013, 2031, 2103, 2130, 2301, 2310, 3012, 3021, 3102, 3120, 3201, 3210, 10234, 10243, 10324, 10342, 10423, 10432, 12034, 12043, 12304, 12340, 12403, 12430, 13024

Offset: 1

Author

Enrique Navarrete, Dec 24 2017

Keywords

• base
• nonn

Comments

Without the restriction that no repeated digits are allowed (as in A297062), the sequence is infinite.

The smallest 10-digit term is 1023456789, the largest 10-digit term is 9876543210, and digits not contained in previous terms are introduced at n = 6, 15, 33, 129, 729, 5049, 40329, 362889.

Examples

			a(6)=102 and not 110 since 102 < 110, hence the digit 2 is introduced at n=6.
		

Crossrefs

Cf. A297062.