For each integer n 0, let ak be the number of bit strings
Chapter 9, Problem 27E(choose chapter or problem)
For each integer n ? 0, let ak be the number of bit strings of length n that do not contain the pattern 101.a. Show that ak = ak-1 + ak-3 + ak-4 + + a0 + 2, for all integers k ? 3.________________b. Use the result of part (a) to show that if k ? 3, thenak = 2ak–1 – ak–2 + ak–3.
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