Lewis lost a bet to Lilly and now he has to eat a lot of pizza. Lilly rolls fair sided dice to determine how much pizza Lewis will have to eat. If Lilly rolls a or higher, Lewis will eat as many pizzas as the dice shows, and then he can stop. However, if she rolls lower then Lewis must eat as many pizzas as the dice shows, and then Lilly rolls the dice again. What is the expected number of pizzas that Lewis will end up eating?