New families of Jacobsthal and Jacobsthal-Lucas numbers

Paula Catarino, Paulo Vasco, Helena Campos, Ana Paula Aires, Anabela Borges

Abstract


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.

Keywords


Jacobsthal numbers, Jacobsthal-Lucas numbers, Binet formula, Generating matrix, Generating function

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