What was found
LANDING GEAR NOSE WHEEL DOWN LIGHT EXTINGUISHED ON SHORT FINAL IN KENAI. WENT MISSED, CYCLED THE GEAR TWICE, GOT THE LIGHT BACK, WHICH THEN EXTINGUISHED ON SHORT FINAL AGAIN. THEN DECLARED AN EMERGENCY, PERFORMED THE ALTERNATE GEAR EXTENSION CHECKLIST VIA QRH, AND PERFORMED A LOW PASS FOR GEAR INSPECTION. NOTICED THAT THE AURAL WARNING TOO LOW, GEAR SOUNDED. THE NOSE WHEEL LIGHT WOULD ILLUMINATE WHEN WE PUMPED THE GEAR HANDLE, BUT THEN WOULD EXTINGUISH ONCE WE STOPPED PUMPING. LANDED WITHOUT INCIDENT ON THE SECOND APPROACH INTO ANC. QRH CHECKLIST FOR ALTERNATE GEAR EXTENSION, EMERGENCY DECLARED, LOW APPROACH TO VERIFY GEAR POSITION. ENGINE SHUTDOWN WHILE HOLDING THE NOSE UP UPON TOUCHDOWN.