Suppose $X_1, X_2$ and $X_3$ are all non-negative integers. So for this linear integer equation:
$$X_1 - 2X_2 + X_3 = 10$$
Please note that the coefficient for $X_2$ is negative (i.e. $-2$).
What is the generating function for it?
Suppose $X_1, X_2$ and $X_3$ are all non-negative integers. So for this linear integer equation:
$$X_1 - 2X_2 + X_3 = 10$$
Please note that the coefficient for $X_2$ is negative (i.e. $-2$).
What is the generating function for it?