5. Write down a generating function such that the coefficient of a" is the number of compositions of n into three parts where the first part must be even, the second part must be odd, and the third...

Extracted text: 5. Write down a generating function such that the coefficient of a" is the number of compositions of n into three parts where the first part must be even, the second part must be odd, and the third part must be a n multiple of 7. Check your answer forn-5, n- 11, and n-14.