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%I #8 Dec 01 2019 23:14:42
%S 1,10,11,12,13,3,23,30,31,14,15,5,25,35,32,33,34,36,37,7,17,16,18,19,
%T 9,29,39,38,43,53,45,50,51,21,41,61,71,27,47,57,52,54,55,56,58,59,49,
%U 69,79,67,70,72,73,63,83,93,89,90,91,81,100,101,102,103,104,105,65,75,74,76,77,78,87
%N Lexicographically earliest sequence of distinct terms such that a(n) shares at least one odd digit with a(n+1).
%C The sequence starts with a(1) = 1 and is always extended with the smallest integer not present that doesn't lead to a contradiction.
%C The sequence is not a permutation of the integers > 0 as no term of A014263 (Numbers that contain even digits only) will ever appear.
%H Jean-Marc Falcoz, <a href="/A303879/b303879.txt">Table of n, a(n) for n = 1..1001</a>
%e a(1) = 1 shares 1 with 10;
%e a(2) = 10 shares 1 with 11;
%e a(3) = 11 shares 1 with 12;
%e a(4) = 12 shares 1 with 13;
%e a(5) = 13 shares 3 with 3;
%e a(6) = 3 shares 3 with 23;
%e a(7) = 23 shares 3 with 30;
%e etc.
%Y Cf. A303880 for the same idea with even digits.
%K nonn,base
%O 1,2
%A _Eric Angelini_ and _Jean-Marc Falcoz_, May 02 2018