%I #15 Aug 02 2017 12:11:50

%S 1,2,3,4,5,6,7,8,9,12,34,51,62,71,82,91,234,516,723,814,923,1456,2378,

%T 4156,7238,9145,23678

%N Increasing sequence a(n)>a(n-1) where a(n)=smallest integer not yet in the sequence with no digits shared with the previous term a(n-1), no repeated digits, and no 0-digit allowed.

%C The fact that the sequence is increasing makes it finite.

%e 12 follows 9 since 10 has the digit 0 and 11 has a repeated digit.

%e 34 follows 12 since any number in between either shares a digit with 12, has a 0 (30), or a repeated digit (33).

%K nonn,base,fini,full

%O 1,2

%A _Enrique Navarrete_, Jul 28 2017