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5. For all n E N, let to be the number of {a, b, c}-strings of length n not having abc as a substring. For

5. For all n E N, let to be the number of {a, b, c}-strings of length n not having abc as a substring. For example, if n = 8, cbacabac is allowed, but not ababcaab. Find the generating function of (tn)=1

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