If the generating function is (1-x^200)(1-x^240)/((1-x^10)(1-x^20)(1-x^25)). Then expand all the terms through x^100. How can I make it in the form of a recurrence relation hn. The initial conditions are given.
The generating function is
The first two factors, , don't make any contribution to with , so all you have to do is expand enough of
to get the powers of up to .
I would start by expanding
up to .
I don't know enough about what you want in the way of a recurrence to help you with that part of the problem.