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Automatic sequences are also non-uniformly morphic

Published 18 Oct 2019 in math.NT and cs.FL | (1910.08546v1)

Abstract: It is well-known that there exist infinite sequences that are the fixed point of non-uniform morphisms, but not $k$-automatic for any $k$. In this note we show that every $k$-automatic sequence is the image of a fixed point of a {\it non-uniform\/} morphism.

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