Stern sequence

Sturmian words and the Stern sequence

Central, standard, and Christoffel words are three strongly interrelated classes of binary finite words which represent a finite counterpart to characteristic Sturmian words. A natural arithmetization of the theory is obtained by representing …

Christoffel words and the Calkin-Wilf tree

In this note we present some results on the Calkin-Wilf tree of irreducible fractions, giving an insight on the duality relating it to the Stern-Brocot tree, and proving noncommutative versions of known results relating labels of the Calkin Wilf …