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Math Help - Non Negative Integer Solutions...

  1. #1
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    Non Negative Integer Solutions...

    I am expecting a similar problem on my upcoming exam. Any help would be greatly appreciated. Thanks a lot...

    Let
    hn denote the number of nonnegative integer solutions of the equation
    2
    e1 + 3e2 + 5e3 + 7e4 = n:

    Find the generating function g(x) for h0, h1, h2,... hn....
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  2. #2
    Member Traveller's Avatar
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    If I want to find the number of non-negative integer solutions to 2e1 + 3e2 = 7, I will look for the coefficient of x^7 in

    (1 + x^2 + x^4 + ... )(1 + x^3 + x^6 + ... )

    Can you see why ?
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