If I have the generating function \begin{equation*} A(x)= \frac{1}{(1-x^{10})\cdot(1-x^5)\cdot(1-x) }\,, \end{equation*} what is a clean way to find the coefficients of $x^{n}$. This coefficient would tell me, in how many ways I can combine an element of the first, the second and the third to get $x^n$. I am pretty new to generating functions and I only now how to set them up from a series, but not how to get the series from a function :-(
Thanks in advance.