I had the same thing happen to my car this winter.

THE FIRST THING to check is your oil pressure switch, which is directly above the oil filter and under the intake manifold. When they go bad, the make the light on the dash blink , but the car seems to run fine. Be sure to have some large-diameter deep sockets handy, or getting it off will be pretty tricky with vice-grips. It took me about an hour from start to finish, including putting the car on jack stands (use a curb if you dont have any). Be careful taking off the wire and the plastic sheath that goes around the switch, as due to exposure to high temperatures sheath becomes brittle.

A new oil pressure switch at Honda is right around $30. Good luck.