On generalizations of two curious divisibility properties

Abstract

In this paper, we extend two curious divisibility properties for the general second order linear recurrence fU n .p; q/g. We also give new recursive identities for the general second linear recurrences fU n .p; q/g and fV n .p; q/g. These results generalize the results given by E. Kılıç, "A matrix approach for generalizing two curious divisibility properties",