What was found
AIRCRAFT WAS GROUNDED: AT CRUSE AT FL360 NR 1 ENGINE STARTED MAKING A THUDDING NOISE, AND THE N1 ROLLED BACK FALLOWED BY A ENG 1 STALL ECAM. N1 THEN RECOVERED, HOWEVER THERE WAS MORE THUDS THAT COULD BE FELT, AND N1 CONTINUED TO FLUCTUATE. WE OPTED FOR A PRECAUTIONARY ENGINE 1 SHUTDOWN. CVR CIRCUIT BREAKERS HAVE BEEN PULLED. DECESION WAS MADE TO DFIVERT TO LIT AND EMERGENCY DECLARED. LANDING WAS UNEVENTFUL. ARFF DID RESPOND AND INSPECTING THE AIRCRAFT ON THE RUNWAY BEFORE TAXING TO GATE UNDER OWN POWER. (OPEN)