I changed out the thermostat and the control board and still had the problem.
With the thermostat removed and nothing connected to the wires the inducer was silent. But I installed a new thermostat and still had the problem which should eliminate the board and thermostat as the culprits. So far...
I have an Armstrong Air Ease furnace IV from circa 2000.
I recently had the smart valve replaced and have a problem with the air inducer fan that has puzzled two different repairmen.
When the thermostat is not calling for heat or is turned off the air inducer fan will cycle on off...