The 2005 Ford F-150 V6 (likely the 4.2L Cologne V6) uses a
sequential fuel injection system and a
wasted spark ignition system. This means it doesn't have a specific firing order in the traditional sense like older distributor-based systems. Instead, each cylinder fires individually, sequentially, controlled by the engine control module (ECM).
While you won't find a simple 1-3-5-2-4-6 type firing order like older engines, the ECM manages the firing sequence to optimize combustion and balance. Trying to determine a "firing pattern" outside of the ECM's control is not practical. The precise order is embedded in the ECM's programming.