I've had tenants pack up all MY light bulbs when they've moved...so many times it's become a runny joke on some of the landlord forums I'm on (it's like "we're moving! Pack up the bulbs first!")
On the other hand, I've had a number of tenants who appear not to be able to figure out how to change a burned out light bulb (and we're not talking about fixtures that are so high they need a ladder to change the bulb). It's gotten to the point where, if I have to do a repair on a place, I bring my own bulbs (and leave them, of course) just to see enough to do the repair. Or, perhaps the fact that a three bulb fixture only has one working bulb leads an air of "romance" to the place?
At any rate, if the burned out bulbs include flood lights, the OP can always ask if the landlord has extra since these are more expensive than regular bulbs. If refused, these are easily available at any Lowes, Home Depot, etc..