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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 2015 Volume 20, Issue 1, Pages 40–54 (Mi adm530)
This article is cited in 3 papers

RESEARCH ARTICLE

New families of Jacobsthal and Jacobsthal-Lucas numbers

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

Universidade de Trás-os-Montes e Alto Douro

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.

MSC: 11B37, 11B83, 05A15

Received: 18.11.2014
Revised: 31.12.2014

Language: English



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