Independent subsets of powers of paths, and Fibonacci cubes
  We provide a formula for the number of edges of the Hasse diagram of the independent subsets of the h-th power of a path ordered by inclusion. For h=1 such a value is the number of edges of a Fibonacci cube. We show that, in general, the number of edges of the diagram is obtained by convolution of a Fibonacci-like sequence with itself. 
Pietro Codara, Ottavio M. D'Antona
cs.DM math.CO