Geodesic
On a class of Thue-Morse type sequences
Journal of integer sequences, Tome 6 (2003) no. 4
We consider a class of binary sequences that generalize the Thue-Morse sequence. In particular, we investigate the occurrences of palindromes in such sequences. We also introduce the notion of the first difference of a binary sequence and characterize first differences of our class of Thue-Morse type sequences. Finally, we define the concept of a "change sequence" of a given binary sequence, a sequence which encodes the positions at which a binary sequence changes values. We characterize the change sequences corresponding to our class of Thue-Morse type sequences.
Classification : 11B85, 68R15
Keywords: thue-Morse, binary sequence, first difference, palindrome, skew-palindrome, quasi-palindrome, change sequence, cross product, block product, Toeplitz morphism 
@article{JIS_2003__6_4_a1,
     author = {Astudillo,  Ricardo},
     title = {On a class of {Thue-Morse} type sequences},
     journal = {Journal of integer sequences},
     year = {2003},
     volume = {6},
     number = {4},
     zbl = {1074.11016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2003__6_4_a1/}
}
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Astudillo,  Ricardo. On a class of Thue-Morse type sequences. Journal of integer sequences, Tome 6 (2003) no. 4. http://geodesic.mathdoc.fr/item/JIS_2003__6_4_a1/