When the propane detetctor is shut down, it closes a valve in the propane supply so no LPG appliance would work. But rclark's problem is more fundamental - his furnace won't even try to start.
If the fan won't come on, the fan interlock (sail switch) will prevent the ignition circuit from engaging and the propane inlet to the furnace from opening. The latter two things occur under the control of the furnace circuit board once it detetcs that the fan is running via the sail switch. The sail switch does not close becasue the fan isn't running, so nothing further happens. [The sail switch is a switch with a large paddle that sits in front of the fan - when the fan turns the air pushes the paddle to close the switch, indicating that air is being blown through the heat exchanger to carry away the heat output.]
If a click is heard when the thermostat calls for heat, it sounds to me as though the fan relay has engaged but the fan does not begin to run. I would check the power for the fan (which the relay switches on) and the fan itself. Could be as simple as a blown fuse for the fan power supply (if it is separate from the power to the furnace circuit board). Could also be a defective fan relay, but if a firm click is heard it is probably working. Try jumping 12V power direct to the fan and see if it runs that way.