> but a series of frames can (I'm pretty sure) between them have enough info to deblur an object in the background

You're probably thinking of geometrical super-resolution, such as gigapixel photography. Blurring is the discarding of high-frequency information, and only a very very small part of this information can be recovered using techniques like this (as in, so little that you wouldn't be able to notice it).

> My only point is information in a video is more than the sum of the information of it's frames,

It's actually less than the sum of the information of it's frames. An off-the-shelf lossless compression algorithm can give you an upper bound for the amount of information present in a video file.