See my posts in the war room on the subject.

Technically Tiger's did not belong to the DAK. The 501st was first to ship over with the 1 Kompanie from November '42 to January '43. Black and white photographs of Tiger 142 strongly suggest that she was painted green over grey (the color exposed between the white outline of her turret numbers). I posted the only color photographs known of Tigers in Afrika and the tanks in the photos were from the 1 Kompanie of the 501st. They were painted in RAL 8020, as were all of the DAK tanks in '42 and early '43. The 2 Kompanie began shipping over in January '43 these tanks are configured differently and were also painted in RAL8020. One of these tanks, the 712 was brought back to the USA and now sports the inaccurate turret number 112 in Germany.

The 1 Kompanie of the 504th came over in March '43 and one of these tanks is the 131 at Bovington. The 2 Kompanie Tigers were sent to Sicily. It appears that the 1 Kompanie Tigers were painted in RAL 8020 and the 2 Kompanie Sicily Tigers in RAL 7028 as they were built later, some as late as March '43 and had spare tracks on the turret sides.

Now, in March '43 the 501st Tigers were absorbed in the 10th Panzer Division's 7th Panzer Regiment in Kompanies 7 and 8. After the loss of 7 Tigers at Beja they were reorganized into a single company, the 7th and the 8 Kompanie tanks renumbered into 7xx series. Shortly after this, they came under the command of the 504th but kept their existing turret numbers until surrender in May '43.

I have Tiger's on the Western Front and it is an excellent book for reference. It covers all units that were assigned the Tiger I while they served between France in the west, east into Germany and south to Afrika.