Dean=?ISO-8859-1?B?uQ==?=s Word: Omega 2,1

[Jeremy Gardiner]

On reading the following lecture notes:

http://www.latrobe.edu.au/mathstats/maths/conferences/vic_algebra/CombonWord
s.pdf

Avoidable Words
George F. McNulty
University of South Carolina
2003

I found the following sequence:

Dean¹s Word: Omega 2,1

Let phi be the endomorphism given by
0 -> 01
1 -> 21
2 -> 03
3 -> 23

Start from 0 and iterate phi :

0
01
0121
01210321
0121032101230321

Ref. appears to be:

Dean, Richard A. 1965. A sequence without repeats on x, x € 1 , y, y € 1 ,
Amer. Math. Monthly 72 , 383­ 385. MR 31 #3500

- The sequence doesn't appear to be in the OEIS but I wonder if it appears
in another guise?
If nobody recognises this as already in the OEIS, I will submit the
sequence.

Jeremy Gardiner
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