This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A303605 #11 Sep 26 2019 05:51:19 %S A303605 0,1,10,11,100,101,102,12,20,21,22,112,120,103,13,30,31,33,113,123,23, %T A303605 32,122,121,110,104,14,40,41,44,114,124,24,42,142,125,15,25,51,52,55, %U A303605 152,105,50,106,56,16,61,66,116,126,26,62,162,127,17,27,71,72,77 %N A303605 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 A303605 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 A303605 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 A303605 Cf. A303294. %K A303605 nonn,base %O A303605 1,3 %A A303605 _Enrique Navarrete_, Apr 26 2018