Suppose you have n dollars and can buy coffee for $1, milk for $2, and orange juice
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Suppose you have n dollars and can buy coffee for $1, milk for $2, and orange juice for $2. Let C(n) count the number of different ways of spending all your money.
(a) Explain why C(n) = C(n−1) + 2C(n−2), C(0) = C(1) = 1.
(b) Find an explicit formula for C(n).
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