Made this generator just right now for some SE's so that way it would be easier. Used old serials that I have seen publicly posted on other forums to get the basic algorithm down for each product.
If you guys have any Logitech serials hanging around from past SE's, feel free to toss them my way so I can see what the other patterns are for the other devices. Make sure the serials are the ones on the actual product and not the ones on the boxes.