# Effect of stacking diffraction gratings

I have a basic question about the effect of transmitting a laser beam through multiple diffraction gratings. Suppose a diffraction grating was used to produce many spots as follows:

Would adding a second grating of the same pattern result in more spots/maximas? If so, would the resulting number be $$n^2$$ where $$n$$ is the original number of spots/maximas? If not, what would the result be?