Consider a plane in which you are at the origin. The only movements you are allowed to make are up, down, left, or right by exactly one unit. let f(n) be the number of paths of length n that you can take to get to the point (1,2) from your starting point at (0,0). it can be shown that f(n) is 0 for any even n and any n less than 3. find a formula for f(n) for all odd n greater than or equal to 3.

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Consider a plane in which you are at the origin. The only movements you are allowed to make are up, down, left, or right by exactly one unit. let f(n) be the number of paths of length n that you can take to get to the point (1,2) from your starting point at (0,0). it can be shown that f(n) is 0 for any even n and any n less than 3. find a formula for f(n) for all odd n greater than or equal to 3.

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