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%I #12 Dec 26 2017 17:27:41
%S 0,1,10,100,101,102,120,201,210,1002,1012,1020,1021,1022,1023,1032,
%T 1203,1230,1302,1320,2013,2031,2103,2130,2301,2310,3012,3021,3102,
%U 3120,3201,3210,10234,10243,10324,10342,10423,10432,12034,12043,12304,12340,12403,12430,13024
%N 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.
%C Without the restriction that no repeated digits are allowed (as in A297062), the sequence is infinite.
%C 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.
%e a(6)=102 and not 110 since 102 < 110, hence the digit 2 is introduced at n=6.
%Y Cf. A297062.
%K base,nonn
%O 1,3
%A _Enrique Navarrete_, Dec 24 2017
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