%I #8 Jun 18 2014 22:10:37
%S 1,2,10,3,4,5,6,7,8,9,21,20,12,22,13,23,31,24,25,41,26,27,28,14,29,30,
%T 32,15,33,34,35,51,36,37,38,39,40,42,43,44,45,46,16,47,48,49,50,52,53,
%U 54,55,56,17
%N The sequence can be seen as a succession of digit-chunks ending in "1". The digit-size of each chunk is given by the sequence itself. No term is repeated. This is the lexically first sequence with the property.
%C All integers appear in the sequence, except the ones that have two or more consecutive 1's (like 11,110,111,112,113,...).
%e If we put a vertical stroke right after each "1", the sequence becomes:
%e 1|2,1|0,3,4,5,6,7,8,9,21|20,1|2,22,1|3,23,31|24,25,41|26,27,28,1|4,29,30,32,1|5... Now count the digits between two strokes: you'll get 1,2,10,3,4,5,6,7,8,... which is the sequence itself.
%K nonn,base
%O 1,2
%A _Eric Angelini_, Jun 17 2014