New families of Jacobsthal and Jacobsthal-Lucas numbers

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Authors: Catarino, P., Vasco, P., Campos, H., Aires, A.P., Borges, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157999
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: New families of Jacobsthal and Jacobsthal-Lucas numbers / P. Catarino, P. Vasco, H. Campos, A.P. Aires, A. Borges // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 40-54. — Бібліогр.: 21 назв. — англ.

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.