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Help with generating function problem

  1. Oct 1, 2009 #1
    Hi.
    I'm really struggling with this generating function problem. Any help would be greatly appreciated.

    Question:
    Find the generating function for the compositions (c1,c2,c3....,ck) such that for each i, ci is an odd integer at least 2i-1.

    Second part of question:

    Use the above solution to to find the number of compositions of a positive integer n into k parts (c1,c2...ck) such that for each i, ci is an odd integer at least 2i -1.
     
  2. jcsd
  3. Oct 1, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    The "generating function" for a list of numbers is, by definition, the power series having those numbers as coefficients.
     
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