On a generalization of the Gadovan numbers


Engin Özkan, Engin Eser, Mine Uysal




In this paper, we define (k,l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k,l)-Gadovan numbers. Also, we derive Cassini-like identity, Catalan-like identity, Vajda-like identity, Honsberger-like identity and D'ocagne-like identity for the (k,l)-Gadovan numbers.