Borges, Anabela

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Borges

Anabela

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Acesso Aberto
On Leonardo Numbers
2019-03-11 - Borges, Anabela; Catarino, Paula
In 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.
Acesso Aberto
New families of Jacobsthal and Jacobsthal-Lucas numbers
2015 - Campos, Helena; Aires, Ana Paula; Catarino, Paula; Borges, Anabela; Vasco, Paulo
In 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.