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Homework Help: Generating Functions

  1. Mar 13, 2008 #1
    1. The problem statement, all variables and given/known data

    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. Relevant 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.
  2. jcsd
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