I have a Samsung 2 or 3 series 40" 1080p 60hz TV. The TV looks and works fine when it is on, but when I turn it on the TV cycles on/off 6 or 7 times before actually turning on. At first it was one or two extra times, but it is getting progressively more and more.
Sounds like you have a power supply issue. Some newer sets have power protection to prevent damage in an extreme undervoltage situation. I would contact your local service center.