Preface 1. Stringology 2. Number theory and algebra 3. Numeration systems 4. Finite automata and other models of computation 5. Automatic sequences 6. Uniform morphisms and automatic sequences 7. Morphic sequences 8. Frequency of letters 9. Characteristic words.Expand

The automatic sequence is the central concept at the intersection of formal language theory and number theory and has been extensively studied by Christol, Kamae, Mendes France and other writers.Expand

Abstract In this paper we prove a theorem allowing us to determine the continued fraction expansion for Σ k =0 ∞ u − c ( k ) , where c ( k ) is any sequence of positive integers that grows… Expand