Consider the following set for n N: F = {f : {1, . . . , n}
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Question:
Consider the following set for n N:
F = {f : {1, . . . , n} {0, 1, 2} :1 i n 1, f(i) + f(i + 1)4}.
(a) Given a recurrence and boundary conditions for |F|.
(b) Solve the recurrence and give an explicit formula for |F|.
Show your work in both parts.
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