Question: Find generating functions for the following sequence, and simplify them (i.e. without infinite sums): 1,4,9,16,25,36,49,... Hint: Use derivative, integral and/or decomposing one sequence into several

Find generating functions for the following sequence, and simplify them (i.e. without infinite sums): 1,4,9,16,25,36,49,... Hint: Use derivative, integral and/or decomposing one sequence into several simpler ones.

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