zombie84 said:

No,he's right there are like three rapid laser beams coming out of Han's gun. I haven't watched the SE in a while but I'm pretty sure this is not whats in the SE--never trust Youtube.

Nope, that is the DVD version of the film. I just checked it. If you watch closely enough, Han Solo gets off those two little blaster shots instead of one.

I'm guessing that when George changed the Greedo scene from the SE to create the DVD version (to sort of show them firing at the same time) he kept the earlier SE version of the film where Han fires after Greedo and that basically gives us two super fast shots coming from the blaster (one where Han shoots at the same time and one where Han shoots second). Whatever the reason for the two blasts actually is, however, it certainly looks ridiculous.