Geodesic
A criterion for non-automaticity of sequences
Journal of integer sequences, Tome 6 (2003) no. 3
We give a criterion for a sequence (a_n)_n >= 1 to be non-automatic, i.e., for when there does not exist a finite automaton generating this sequence. As application we generalize a result of Yazdani on the non-automaticity of multiplicative sequences.
Classification : 11B85
Keywords: automatic sequence, finite automaton 
@article{JIS_2003__6_3_a5,
     author = {Schlage-Puchta,  Jan-Christoph},
     title = {A criterion for non-automaticity of sequences},
     journal = {Journal of integer sequences},
     year = {2003},
     volume = {6},
     number = {3},
     zbl = {1071.11015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2003__6_3_a5/}
}
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Schlage-Puchta,  Jan-Christoph. A criterion for non-automaticity of sequences. Journal of integer sequences, Tome 6 (2003) no. 3. http://geodesic.mathdoc.fr/item/JIS_2003__6_3_a5/