Using generating functions, find a formula for the number of different types of fruit baskets containing of n pieces of fruit chosen from pomegranates, bananas, apples, oranges, pears, and figs that can be made subject to the following restrictions: - there are either 0 or 2 pomegranates,
- there is at least 1 banana,
- the number of figs is a multiple of 5,
- there are at most 4 pears, and
- there are no restrictions on the number of apples or oranges.

Required:
How many ways are there to form such a fruit basket with n=25 pieces of fruit?