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%I #9 Aug 02 2017 12:12:06
%S 1,2,3,4,5,6,7,8,9,12,13,34,42,51,53,62,64,71,72,82,83,91,92,234,314,
%T 516,526,723,731,814,824,923,931,1456,2456,2738,3178,4156,4256,7238,
%U 7318,9145,9245,23678,31678
%N Increasing sequence where a(n) is the smallest integer not yet in the sequence with no digits shared with the term a(n-2), no repeated digits, and no 0-digit allowed.
%e a(35)=2456 is followed by a(36)=2738 (and not 2378, which contains digits different from those in a(34)=1456) since otherwise the sequence would not be increasing.
%Y Cf. A290386.
%K nonn,base,fini,full
%O 1,2
%A _Enrique Navarrete_, Jul 28 2017
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