Borges, Anabela
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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.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 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.