Let a1, a2, a3, ... be the integer sequence defined recursively by 1) a1 = 0; and
Question:
1) a1 = 0; and
2) For n > 1, an = 1 + a(n/2).
Find an explicit formula for an and prove that your formula is correct.
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We claim that a n log 2 n for all n Z Proof When n 1 we have a 1 0 0 log 2 1 ...View the full answer
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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