I was having some issues with 3rd person view being off center when weapons are sheathed. As a chronic migraine sufferer, sometimes odd little things can cause triggers, and for some reason the off center view was doing so. Took me way too long to find any info on a solution (perhaps I fail at google, idc). To those who will say "just keep weapons drawn all the time" or "scroll out further" well i just don't enjoy running around town with my swords always out and i prefer to play a very close-up 3rd person, but also don't enjoy constant 1st person view. Eventually I found an easy and effective fix... simply add these 3 lines at the bottom of Skyrim.ini >>

[Camera]
fOverShoulderPosZ=0.0000
fOverShoulderPosX=0.0000

Once you start up game you have to equip your weapon once to center your character, then once you sheathe weapon, you will remain centered on screen. I'm sure there are better ways to do this, but I thought I would share this simple fix with anyone else who is bothered by the 3rd person view.

You could just use first person. Though this will be helpful for the pedantic.

Awesome find, this bugged me too I'm glad there was a solution to it.