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On a class of Thue-Morse type sequences (pdf)
Ricardo Astudillo
Journal of Integer Sequences, Vol. 6 (2003)
"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."
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