AN A319 CREW EXPERIENCED AN ENG STALL AT FL380 WITH THE ENG RETURNING TO NORMAL OPERATION. THE FLT CONTINUED TO ITS PLANNED DESTINATION ARPT.

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WE WERE AT FL370 AND ASKED BY ATC IF WE COULD MAKE FL390; WE COULD NOT BUT COULD MAKE FL380. ATC CLRED US TO FL380. WE CLBED TO FL380 WITH AUTOTHROTTLES AND AUTOPLT ON. SHORTLY AFTER LEVELOFF HEARD A LOUD POPPING NOISE AND FELT A YAWING MOVEMENT LIKE WAKE TURB. I QUICKLY LOOKED AT THE ENG INSTS AND SAW ENG GAUGES GOING TO IDLE AND THEN QUICKLY COMING BACK UP TO FULL PWR. LOOKING AT THE ECAM SCREEN I SAW ENG #1 STALL COME ON FOR 1-2 SECONDS AND THEN DISAPPEAR. ALL ENG PARAMETERS RETURNED TO NORMAL IN JUST A FEW SECONDS. FLT ATTENDANTS CALLED TO TELL THEY FELT AND HEARD A LOUD BANG IN THE BACK. CAPT EXPLAINED WHAT HAD HAPPENED WITH THE COMPRESSOR STALL. CAPT SENT MESSAGES TO MAINT AND DISPATCH TO LET THEM KNOW WHAT HAD HAPPENED AND THEN TALKED TO BOTH A FEW MINS LATER. WE ALSO WENT TO THE FLT MANUAL FOR COMPRESSOR STALL; MOST DID NOT APPLY SINCE THE STALLS CEASED AND DID NOT COME BACK. WE DID TURN ON THE ENG AND WING ANTI-ICE FOR THE DSCNT. AFTER TALKING TO MAINT AND DISCUSSING THE HISTORY OF COMPRESSOR STALLS WITH THIS ACFT THE CAPT SENT ANOTHER MESSAGE ASKING IF WE SHOULD DIVERT TO ZZZ1 SINCE THIS WAS GOING TO GND THE PLANE. WE WERE TOLD TO CONTINUE ON TO ZZZ3. WE CONTINUED WITH NO OTHER PROBS. I HAD FLOWN THIS SAME ACFT DAY BEFORE AND WHEN DSNDING FROM FL380 AT A 1000 FPM WE HAD THE SAME COMPRESSOR STALL AUDIBLE POPPING NOISE AND YAW AND ECAM ENG #1 STALL. WE WROTE UP THE ACFT AND THE PLANE WAS TAKEN OTS. IN ZZZ3 THE CAPT TALKED TO MAINT AND WAS TOLD THAT MAINT WAS RECOMMENDING AN ENGINEERING CREW TO FERRY THE ACFT SOME PLACE AND HAVE THE ENG CHANGED. IN THE MEANTIME A MAINT CREW WAS BEING SENT TO SEE IF THEY COULD FIND ANYTHING ELSE WRONG THAT THEY MIGHT BE ABLE TO FIX. CAPT AND I DISCUSSED THE SITUATION AND AGREED THAT WE WOULD REFUSE THE ACFT BASED ON MAINT'S RECOMMENDATION OF AN ENG CHANGE. WE NOTIFIED MAINT AND THE CREW DESK OF THIS DECISION. CREW DESK WOULD NOT ALLOW US TO DEADHEAD HOME THAT NIGHT (LAST LEG OF A 2 DAY TRIP). CAPT DISCUSSED THIS WITH FLT DUTY MGR AND THE CREW DESK SUPVR. THIS TO NO AVAIL. SPENT THE NIGHT IN ZZZ INCREASING THE CUMULATIVE STRESS AND FATIGUE WE CONTINUE TO FEEL.