Question: Determine the generating function for the sequence a0, a1, a2, ..., where an is the number of partitions of the nonnegative integer ft into (a)

Determine the generating function for the sequence a0, a1, a2, ..., where an is the number of partitions of the nonnegative integer ft into (a) even summands; (b) distinct even summands; and (c) distinct odd summands.

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