2000 FORD Expedition blower motor comes on after ignition turned off.

The A/C Heater works fine. The Heater responds properly to the controls when the ignition is on. However, when you turn the ignition off, the blower motor
will come on till the battery runs completely down. If you unhook a battery cable for an extended period of time and then reconnect, The problem does not re-occur immediately. It may be a couple months before it happens again. Any wisdom out there?
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