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Find a recurrence relation for the number of ternary strings ( 0, 1, 2 ) of length n such that (a) they do not contain

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Find a recurrence relation for the number of ternary strings ( 0, 1, 2 ) of length n such that (a) they do not contain 22 as a substring; (b) they do not contain, neither 20 nor 22, as a substring

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