Maybe next time it sits for a week, before you try to start it open the hood, take off the air cleaner, open the throttle all the way by hand while looking into the throat and check if the accelerator pump is squirting fuel down the venturi and if the choke is setting correctly. If the choke came on and the squirters squirted fuel just crank the engine with no pumping of the pedal. Should start and fast idle without touching the gas pedal.
If it doesn't squirt fuel and/or the choke does not set, you at least know what direction you have to take to rectify.