I assume you are wanting to graph a sequence? If so you can just graph it as you would a function on the TI 83 and you will still have the same curve (it will just be solid). I think there is another way to do that, but I haven't used my calculator in a while and the batteries are dead so I can't check.
I would recommend using Geogebra to graph sequences. It a great FREE program that is cross compatible. It's java based so you can run it from the web or install it. Takes a while to get used to, but it does a great job at sequences. Here's the link:
GeoGebra Hope it helps.
Note: The is a way to do factorials on a TI84, I don't know if the TI83 supports it.