(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the number of solutions in nonegative intergers to the equation:

a + 2b + 4c = 10[tex]^{30}[/tex]

2. Relevant equations

The generating function I've found is f(x) = 1/[(1-x[tex]^{4}[/tex])(1-x[tex]^{2}[/tex])(1-x)]

3. The attempt at a solution

I'm pretty sure I need to get from here to an explicit formula, but I'm not sure how to start. Any hints to get me started on this one?

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# Determining the Number of Solutions Using Generating Functions

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