Attached is a quick diagram of the room.
You can see the rough size of it as well as the door (on the left) and window (on the right). Additionally, the smaller looking door is actually a crawlspace door which is about 2' tall. Above it, though, the ceiling is angled to accommodate a stairwell for the upstairs so that area isn't very usable.
The square footage is approximately 140 square feet. I found this site which tells you how to estimate the amount of light you need in various types of rooms. Assuming I need 10-20 foot candles needed for this living area, that equates to 1,400-2,800 lumens. The 4' recessed lights I linked above are 700 lumens, so I'm thinking I'll be OK with three. I'm also wiring in a dimmable switch. Will I be OK with 3 or should I go with more?
Assuming 3, I've marked in rough locations in the diagram above where I'm thinking I'll put the lights. Any problems?
Thanks in advance