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**1. Homework Statement**

I have two questions. The first is the generating function for a(n)=5a(n-1) - 6(an-2) where a(0)=0 and a(1)=1. The explicit equation for the sequence is 3^n-2^n.

The second one is finding the generating function for the sequence of perfect squares {n^2} for n greater than or equal to 0.

**2. Homework Equations**

**3. The Attempt at a Solution**

I am really confused about finding generating functions, and don't know where to start, so any help would be greatly appreciated. Thanks a lot.