= Automatic sequence
{wiki=Automatic_sequence}
An **automatic sequence** is a type of numerical sequence that is generated by a specific rule or algorithm, often involving a function or a set of operations that can be repeated indefinitely. The defining characteristic of an automatic sequence is that it can be described by a finite automaton, which means that given any input (usually an integer representing the position in the sequence), the automaton can produce the corresponding term in the sequence without the need for memory of past values.
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