The power button blinking on a computer is usually an indication that the power supply is not receiving enough power from the outlet it is plugged into. This can be caused by several things, including a loose plug, a tripped circuit breaker or blown fuse, or a problem with the power strip or surge protector being used. If the problem is with the outlet, try plugging the computer into another one to see if that solves the issue. If not, then check to make sure there are no loose connections anywhere in the cord leading up to the computer. If everything appears to be plugged in securely and there are still no lights coming on, then it's possible that there is an issue with either the power supply itself or with the motherboard inside the computer. In either case, you'll need to take your machine to a qualified technician for further diagnosis and repair.