As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AT FL410 IN CRUISE FLIGHT, CREW EXPERIENCED A LOUD "BANG" FROM THE NR 2 RIGHT ENGINE FOLLOWED BY INCREASING ITT AND VIBRATION. CREW ADVISED ATC OF THE SITUATION AND REQUESTED A LOWER ALTITUDE. DURING THE DECENT THERE WAS A SMELL OF JET FUEL. AT THAT POINT THE CREW DECLARED AN EMERGENCY AND DID A PRECAUTIONARY SHUTDOWN. ALL CHECKLISTS ACCOMPLISHED AND CREW LANDED UNEVENTFULLY.