Borges, Anabela
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Publicação Acesso Aberto k-Pell, k-Pell-Lucas and modified k-Pell numbers: some identities and norms of Hankel matrices2015-01 - Campos, Helena; Aires, Ana Paula; Catarino, Paula; Borges, Anabela; Vasco, PauloIn this paper we present some identities involving terms of k-Pell, k-Pell-Lucas and Modified k-Pell sequences. We also give some results on the column and row norms of Hankel matrices which entries are numbers of these sequences.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.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.