  We describe the sequences {x_n}_n given by the non-autonomous second order
Lyness difference equations x_{n+2}=(a_n+x_{n+1})/x_n, where {a_n}_n is either
a 2-periodic or a 3-periodic sequence of positive values and the initial
conditions x_1,x_2 are as well positive. We also show an interesting phenomenon
of the discrete dynamical systems associated to some of these difference
equations: the existence of one oscillation of their associated rotation number
functions. This behavior does not appear for the autonomous Lyness difference
equations.
