%N First monotonically increasing sequence such that erasing the first and last digit of each term and concatenating what is left results in the concatenation of all terms of the sequence.
%C Could one say this is kind of fractal?
%e To avoid numbers beginning with 0, we assume the first term is 1xy, and so x=1, so 11y, but y=0 works, so the first term is 110.
%e The next two terms must be a1b, c0d, and se we take a=b=1, c=2, d=0, so now the sequence begins 110, 111, 200. And so on.
%Y Cf. A106003.
%A _Eric Angelini_, Apr 29 2005