New families of Jacobsthal and Jacobsthal-Lucas numbers

• Дата: 2015
• Автори: Catarino, Paula, Vasco, Paulo, Campos, Helena, Aires, Ana Paula, Borges, Anabela
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2015
• Теми: Jacobsthal numbers; Jacobsthal-Lucas numbers; Binet formula; Generating matrix; Generating function; 11B37; 11B83; 05A15
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/98
• Назва журналу: Algebra and Discrete Mathematics

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.