What was found
JFK/PIT - FLT 721 - AFTER TAKEOFF, RETRACTING GEAR, NOSE GEAR UNSAFE LIGHT STAYED ON, AND THERE WAS A LOUD VIBRATION. RECYCLED GEAR, DID SAME THING. ON WALK-AROUND AFTER LANDING, FOUND RT FORWARD NOSE GEAR DOOR OPEN. REPLACED LOCK SENSOR PROXIMITY SWITCH AND CONDUIT AND ADJUSTED CLEARANCE PER MM. SERVICED NOSE STRUT WITH AIR AND OIL PER MM. ALSO, ADJUSTED RT NOSE GEAR DOOR FORWARD BUNGEE TO PROPER TENSION PER MM. (X)