Department of Mathematics, Quinta de Prados, University of Trás-os-Montes e Alto Douro, Quinta de Prados, Vila Real, 5001-801, Portugal
P. Catarino, S. Ricardo
In this paper: In the present work, we consider the generalized k-Bronze Fibonacci sequence and we give the generalized Binet formula and its consequences, the limit of the quotient of two consecutive terms, the sum...
Ali Dağdeviren, Ferhat Kürüz, P. Catarino
In this paper: In this work, firstly we introduce the Leonardo Pisano dual quaternions combining Leonardo Pisano numbers and dual quaternions. Then we examine some fundamental properties and identities of the Leonar...
J. Chimpanzo, P. Catarino, P. Vasco, A. Borges
In this paper: In this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.
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