Borges, Anabela
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Publicação Acesso Aberto On Leonardo Numbers2019-03-11 - Borges, Anabela; Catarino, PaulaIn this paper, we consider the sequence of Leonardo numbers and we present some properties involving this sequence, including the Binet formula, and the generating function. Furthermore, Cassini’s identity, Catalan’s identity and d’Ocagne’s identity for this sequence are given. Also some expressions of sums and products involving terms of this sequence are established. © 2019, Univerzita Komenskeho. All rights reserved.Publicação Acesso Aberto New families of Jacobsthal and Jacobsthal-Lucas numbers2015 - Campos, Helena; Aires, Ana Paula; Catarino, Paula; Borges, Anabela; Vasco, PauloIn this paper we present new families of sequences that generalize the Jacobsthal and the Jacobsthal-Lucas numbers and establish some identities. We also give a generating function for a particular case of the sequences presented.