Re: [math-fun] Nonrepeating sequence with 3 digits

12 Mar 2004

      Yes.  This is a variant of the Thue sequence.  The easiest example
is the fixed point of 

2 -> 210
1 -> 20
0 -> 1

You can see this in my book _Automatic Sequences_ with Allouche,
exercise 33, p. 27.

Jeffrey Shallit