What was found
AFTER T/O, DURING L/G RETRACTION, NOSE WHEELS ENTERED W/W IN A RT TURN ATTITUDE, EVIDENT FROM WEAR MARKS ON TIRES AND RUBBER ON INTERIOR WALLS OF W/W. WHEN A/C LANDED, NOSE WHEELS WERE STILL TURNED TO THE RIGHT, UNKNOWN TO AIRCREW. CAPT TRIED TO STRAIGHTEN NOSE WHEELS OUT BUT HAD TO TRY A COUPLE TIMES BECAUSE THERE WAS NO RESPONSE FROM STEERING ACTUATOR. NOSE WHEEL STEERING DID RESPOND TO INPUTS AND AIRCRAFT WAS ABLE TO TAXI. IT APPEARS THAT ACTUATOR HAD AN UNCOMMANDED STEERING INPUT UPON TAKEOFF AND LOCKED IN THAT POSITION UNTIL LANDING. ACTUATOR WAS CHANGED AND AIRCRAFT DEEMED SERVICEABLE. ACTUATOR WAS SENT BACK TO TYPE CERTIFICATE HOLDER OF AIRCRAFT FOR ANALYSIS.