2004 Toyota Corolla oil problem

Car is losing engine oil somewhere. No external leakage under hood or under car. Had oil change. Within a week dipstick showed no signs of oil in engine. Added oil. Now there's no sign of oil based on dipstick. Oil light came on once for about a second.
twice on start up car smoked for about 2 to 3 seconds. Car runs fine gas mileage excellent. No indications of problems ie. Stalling lagging etc.