Abstract

We study combinatorial properties of the species of scattered subsets in the case of linearly ordered sets and in the case of cycles. In particular, we study the numbers of such subsets which turn out to be a generalization of Fibonacci and Lucas numbers. We also determine a generalization of the Cassini's identity. Finally, we define a q-analog of such numbers and we prove some q-analog identities.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call