An automatic sequence is an infinite sequence of terms characterized by a finite automaton. In other words, given an initial term in the sequence, the nth term can always be determined by applying a fixed and finite set of rules to the preceding n−1 terms. There are two equivalent definitions.

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  • An automatic sequence is an infinite sequence of terms characterized by a finite automaton. In other words, given an initial term in the sequence, the nth term can always be determined by applying a fixed and finite set of rules to the preceding n−1 terms. There are two equivalent definitions.
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  • An automatic sequence is an infinite sequence of terms characterized by a finite automaton. In other words, given an initial term in the sequence, the nth term can always be determined by applying a fixed and finite set of rules to the preceding n−1 terms. There are two equivalent definitions.
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  • Automatic sequence
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