Consider ternary strings - that is, strings where 0,1,2 are the only symbols used. For n ≥1, let an count the number of ternary strings of length n where there are no consecutive 1 's and no consecutive 2^' s. Find and solve a recurrence relation for an - | Numerade

How many n digit ternary sequences (using digits 0, 1, 2) arethere with an even number of zeros and at least one two. Use anexponential generating function and solve the problemcompletely. What is this number when n=2? Can you enumeratethese sequences? Solve the problem completely, that is findthe coefficient of xn/n!.Write down the equation that is used in solving this problem,explaining all variables and the exponential generatingfunction arising out of this equation in simplified form.What is

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