YOU SAID:

the dog sits on the table while looking at the door

INTO JAPANESE

犬はドアを見ながらテーブルの上に座っている

BACK INTO ENGLISH

The dog is sitting on the table looking at the door

INTO JAPANESE

犬はテーブルの上に座ってドアを見ています

BACK INTO ENGLISH

The dog is sitting on the table and looking at the door

INTO JAPANESE

犬はテーブルの上に座ってドアを見ています

BACK INTO ENGLISH

The dog is sitting on the table and looking at the door