FYI, Lexus states this is normal!
kind of a strange thing to hear!
the service manager stated that "the compound" the fuel injectors are made out of starts to crystalize, not freeze...crystalize in cold temps. and given the fact the car was not started in 3 days, he says "it will take a min or two of cranking to start"
i'm no moron when it comes to cars, i have a 9 second mustang i built completely by myself...i have never heard anything like this before
I am have a similar problem, might be the crank position sensor or wire harness.
as i stated above, lexus says this is normal in extremely cold temps when the car has not been started for 2 or more days