Let a1, a2, a3, . .. be the integer sequence defined recursively by (1) a1{ = 0;

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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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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:27 AM

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Let a1, a2, a3, . .. be the integer sequence defined recursively by (1) a1{ = 0;

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

Discrete and Combinatorial Mathematics An Applied Introduction

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