Beatty Sequences and Wythoff Sequences, Generalized
Clark H. Kimberling · The Fibonacci Quarterly · 2011
Joint rankings of certain sets yield sequences called lower and upper s-Wythoff sequences. These generalizations of the classical Wythoff sequences include pairs of complementary Beatty sequences, both nonhomogeneous and homogeneous. There is a unique sequence Ψ such that the Ψ-Wythoff sequence of Ψ is Ψ. Finally, the Beatty discrepancy of a certain form of complementary equation is determined.