%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.
%A _Enrique Navarrete_, Jul 28 2017