JOURNAL OF SCIENCE AND ARTS, sa.4, ss.887-898, 2019 (ESCI)
Formulas and identities involving many well-known special numbers (such as Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Horadam, and so on) in the algebras play important roles in themselves and in their diverse applications. Various families of recurring numbers have been established by a number of authors in many different ways. This article presents the results of some new research on a new class of recurring integer sedenion numbers that unite the characteristics of the sedenion numbers and the Horadam numbers.