Prouhet–Thue–Morse sequence
A Prouhet–Thue–Morse sequence (often shortened to a "PTM sequence") is a pattern made of numbers that keeps going forever. It looks like this:
01101001100101101001011001101001....
Each number (either 0 or 1) is determined by the one before it. To understand how it works, imagine you're playing a game. You tell someone that you will start by giving them a 0, and from then on, every time you give them a number, it is the opposite of the one before it. So you give the person a 0, then a 1, then a 0, then a 1, then a 0, then a 1, and so on. The pattern of 0s and 1s that this creates is called a Prouhet–Thue–Morse sequence.
01101001100101101001011001101001....
Each number (either 0 or 1) is determined by the one before it. To understand how it works, imagine you're playing a game. You tell someone that you will start by giving them a 0, and from then on, every time you give them a number, it is the opposite of the one before it. So you give the person a 0, then a 1, then a 0, then a 1, then a 0, then a 1, and so on. The pattern of 0s and 1s that this creates is called a Prouhet–Thue–Morse sequence.