I do. It's been... two years, maybe? I use the "1/20" pills, like Microgestin Fe 1/20, Loestrin 1/20, etc. since they seem to be rather interchangeable (I get whatever exists at the pharmacy, although I'm 99% sure the prescription is for Microgestin).
By week 4, you mean your "off" week where you have sugar pills/iron pills? What's typical is your period comes during that week, maybe a couple days in, because you aren't getting the hormones and your body decides to shed the uterine lining. So, week 4 should start before your period comes, yes. Sometimes you might miss your period on BC, and that's okay and normal too. If you get worried, take a pregnancy test, but it's not uncommon to miss a period because your body had no need to build up a heavy uterine lining.
Your period might last into starting your next pack as well, if you get longer periods. That's okay too. Just take your pills when you're supposed to. (: For me, I get much shorter and lighter periods on BC, but everyone is different.