Hi there! Do you happen to have a copy of Dr. A's carb counter book? I find that really, really handy when trying to choose fruits for post-Induction. If you visit http://www.atkins.com you'll find the lists of allowed foods and when to introduce them.

Having said that, neither apples nor pineapples are a good choice on Atkins until possibly maintenance. Both are fairly high glycemic (they absorb into the blood system too rapidly), and apples have virtually no vitamins. I like to eat things like strawberries, raspberries and blackberries because they have a lot more bang for the buck. If you're wanting citrus, tangerines are a good choice, at about 7 net carbs each.

One thing you may want to watch, too, is how these affect your blood sugar when you eat them. Different people react differently to various foods--that's why Dr. Atkins recommends introducing foods back into your diet one at a time.