Solved: For each integer n 0, let ak be the number of bit

Chapter 9, Problem 9.110

(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 =ak1 +ak3 +ak4 ++a0 +2, for all integers k 3. b. Use the result of part (a) to show that if k 3, then ak =2ak1 ak2 +ak3.

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