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You have a tree trunk that you wish to cut into pieces for sale and you wish to determine how many ways there are of

You have a tree trunk that you wish to cut into pieces for sale and you wish to determine how many ways there are of cutting this rod into pieces of size 2, 3, and 5.

Write a generating function for this such that the coefficient of xn is the number of ways for size n. Do not give a formula for determining the coefficients.

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