Automaton Point of View
Let q be an integer, and A = (E, φ, e) be a deterministic automaton where
- E is the finite set of states
- φ : E× → E is the transition function
- is the initial state
also let A be a finite set, and π:E → A a projection towards A.
For each n, take m(n) = π(φ(e,)) where is n written in base q. Then the sequence m = m(1)m(2)m(3)... is called a q-automatic sequence.
Read more about this topic: Automatic Sequence
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