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Problem 1. [40 points] Suppose we want to produce flags with n stripes using the colours white, blue, and red only such that: Stripes of
Problem 1. [40 points] Suppose we want to produce flags with n stripes using the colours white, blue, and red only such that: Stripes of the same color cannot be placed next to each other. A blue stripe must always be placed between a white and a red or between a red and a white one. For n = 3 result is following: a. Determine the number of different flags of size n as a recurrence sequence. b. What are the initial conditions? c. Solve this recurrence sequence
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