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

1,3

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.

Links

Table of n, a(n) for n=1..45.

Example

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

Crossrefs

Cf. A297062.

Sequence in context: A293870 A305701 A107411 * A019513 A307102 A037415

Adjacent sequences: A297062 A297063 A297064 * A297066 A297067 A297068

Keyword

base,nonn

Author

Enrique Navarrete, Dec 24 2017

Status

approved