This chair is called the Stokke Gravityâ„¢ balansÂ®. From the website:
From a comfortable working position to a reclined position and a feeling of almost weightless. The sloping seat allows wider space between the thigh and the upper part of the body, while the leg cushions prevent sliding forward when working at a table. When leaning back your legs will be lifted higher than your head providing you with the best position for relaxation and well-being!
After seeing the â€œfunctionalityâ€ demonstration, I want to try this out! Link