You have an unlimited supply of red, blue, and green plates in your kitchen, and are going to create a stack of exactly n of these plates. However, your roommate has a rule that any blue plate in a stack must have a green plate directly on top of it in the stack. Write a recurrence counting the number of different possible color orderings for the stack of n plates which are allowed by your roommate. Don’t forget to state the base case(s). You do not need to solve your recurrence.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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You have an unlimited supply of red, blue, and green plates in your kitchen, and are going to create a stack of exactly n of these plates. However, your roommate has a rule that any blue plate in a stack must have a green plate directly on top of it in the stack.

Write a recurrence counting the number of different possible color orderings for the stack of n plates which are allowed by your roommate. Don’t forget to state the base case(s). You do not need to solve your recurrence. 

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