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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 10 20:33 EDT 2021. Contains 343780 sequences. (Running on oeis4.)