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 Bidimensional extensions of balancing and Lucas-balancing numbers2024 - Chimpanzo, J.; Catarino, Paula; Vasco, Paulo; Borges, AnabelaIn this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.