You are being held captive in a dungeon and  the only way out is is through the door of the cell. On the door is a combination lock and the following sequence of numbers is painted on the wall above the lock.

3

13

1113

3113

132113

1113122113

In order to open the door you must figure out the next number in the sequence and enter it into the combination lock. What number must you enter in order to escape?

Please submit all answers to scholiumpuzzles@gmail.com. The first student to submit the correct answer will win a box of Tastykakes, as will the first faculty member to submit the correct answer. Good luck.