Sturmian Sequence

If a sequence has the property that the block growth function  for all , then it is said to have minimal block growth, and the sequence is called a Sturmian sequence. An example of this is the sequence arising from the substitution system

			(1)
			(2)

yielding , which gives us the Sturmian sequence 01001010....

Sturm functions are sometimes also said to form a Sturmian sequence.