AN A300-600 HAS A #1 ENG FLAMEOUT DURING A THROTTLES CLOSED DSCNT. THE ENG ANTI-ICE AND THE ENG INFLT IGNITION WERE BOTH OFF. AFTER THE INFLT IGNITION WAS PLACED TO THE 'ON' POS THE ENG 'CAME BACK TO LIFE.'

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DURING A VMC DSCNT; #1 ENG FLAMED OUT; WITHOUT ANY OTHER ABNORMALS NOTED. DSNDING THROUGH APPROX FL260; ENG AND WING ANTI-ICE OFF; FUEL LOAD APPROX 18000 LBS; EVENLY DISTRIBUTED; NO TURB; THROTTLES IDLE; IN LEVEL CHANGE; DSNDING 'ON SPD' AT 310 KTS TOWARD AND ASSIGNED ALT OF 12000 FT. SINCE THROTTLES IDLE; NO ADVERSE YAW; NO OTHER WARNINGS; OTHER THAN THE #1 GENERATOR DROPPING OFF THE LINE (FIRST INDICATION) FOLLOWED BY THE LOW OIL PRESSURE LIGHT; AND THE BAL OF ECAM WARNINGS SECONDS LATER REVEALING 'ENG FAILURE.' NO NOTICEABLE ENG PARAMETERS OUT OF LINE: BOTH N1 AND N2 TURNING FREELY. NO FIRE INDICATIONS. FOLLOWING ECAM; ACTION IS 'IGNITION ON.' ENG IMMEDIATELY CAME BACK TO LIFE. NORMAL DSCNT; APCH AND LNDG WAS MADE TO SEA WITH BOTH ENGS OPERATING. ATC WAS ADVISED OF THE PROB AFTER THE ENG WAS RESTARTED. WE ASKED FOR NO PARTICULAR ASSISTANCE FROM THE GND; HOWEVER PASSED ON THE NUMBER OF SOULS ON BOARD AND THE REMAINDER OF FUEL; ETC. IN THE DSCNT; AT THE TIME OF THE INCIDENT; WE WERE TOLD TO CROSS DIGNN INTXN AT 16000 FT; TO MAINTAIN 12000 FT. I HAD ASKED THE FO TO SLOW THE RATE OF DSCNT (AND THE AIRSPD) TOWARD GREEN DOT FOR BEST LEVELOFF IN THE EVENT WE DIDN'T GET THE ENG RESTARTED. WE ADVISED ZSE THAT WE WOULD BE UNABLE TO CROSS DIGNN AT THE REQUIRED 16000 FT; ALTHOUGH I DID NOT ELABORATE AS TO 'WHY' AT THAT POINT. WE WERE TURNED OVER TO THE NEXT CTLR. THE ENG WAS STABILIZED AND APPEARED TO BE OPERATING NORMALLY; THEN WE ADVISED CTR OF OUR PROB; ITS APPARENT CORRECTION; AND THE LACK OF ANY SPECIAL HANDLING REQUIREMENT; ALONG WITH THEIR ADDED PAX AND FUEL LOAD ANSWERS. FO WAS FLYING ACFT; WHILE THE CAPT RAN THE ECAM DUTIES AND THE RADIOS. FO MADE A NORMAL VISUAL APCH AND LNDG TO RWY 34L AT SEA WITHOUT FURTHER INCIDENT. MAINT WAS IMMEDIATELY NOTIFIED: LOGBOOK ENTRY MADE; DUTY OFFICER WAS NOTIFIED BY TELEPHONE; ALL WITHIN 20 MINS OF ARR AT THE GATE.