Question: Let a1, a2, a3, . .. be the integer sequence defined recursively by (1) a1{ = 0; and (2) For n > 1, an =

Let a1, a2, a3, . .. be the integer sequence defined recursively by
(1) a1{ = 0; and
(2) For n > 1, an = 1 + a[n/2].
Prove that an = [log2n] for all n ∈ Z+.

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Proof For n 1 we find that a 1 0 OJ log 2 l so the result is true ... View full answer

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