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Let T(n) be the number of ternary (base 3) sequences (i.e. character strings of O's, 1's and 2's) of length n that have no

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Let T(n) be the number of ternary (base 3) sequences (i.e. character strings of O's, 1's and 2's) of length n that have no consecutive zeroes for n >=1. Find a recurrence relation that relates T(n) to T(n-1) and T(n-2). Solve this recurrence relation. Prove by induction that your newes

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