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%I #11 Sep 26 2019 05:51:19
%S 0,1,10,11,100,101,102,12,20,21,22,112,120,103,13,30,31,33,113,123,23,
%T 32,122,121,110,104,14,40,41,44,114,124,24,42,142,125,15,25,51,52,55,
%U 152,105,50,106,56,16,61,66,116,126,26,62,162,127,17,27,71,72,77
%N a(n) is the least positive integer not yet in the sequence which shares a digit with a(n-1) and a digit with a(n-2); a(1)=0, a(2)=1.
%C The only pairs of consecutive numbers up to n=60 are 0,1; 10,11; 100,101,102; 20,21,22; 40,41; 51,52; 71,72.
%e a(5)=100 since it the smallest positive integer not yet in the sequence that shares a digit with a(4)=11 and a digit with a(3)=10.
%Y Cf. A303294.
%K nonn,base
%O 1,3
%A _Enrique Navarrete_, Apr 26 2018