Geodesic
Rational tree morphisms and transducer integer sequences: definition and examples
Journal of integer sequences, Tome 10 (2007) no. 4.

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Summary: The notion of transducer integer sequences is considered through a series of examples (the chosen examples are related to the Tower of Hanoi problem on 3 pegs). By definition, transducer integer sequences are integer sequences produced, under a suitable interpretation, by finite transducers encoding rational tree morphisms (length and prefix preserving transformations of words that have only finitely many distinct sections).
Keywords: transducers, integer sequences, automatic sequences, self-similar groups, selfsimilar semigroups, tower of Hanoi problem 
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     author = {Sunic, Zoran},
     title = {Rational tree morphisms and transducer integer sequences: definition and examples},
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Sunic, Zoran. Rational tree morphisms and transducer integer sequences: definition and examples. Journal of integer sequences, Tome 10 (2007) no. 4. http://geodesic.mathdoc.fr/item/JIS_2007__10_4_a2/