The Bi-periodic Fibonacci Octonions
  In this paper, by using bi-periodic Fibonacci numbers, we introduce the bi-periodic Fibonacci octonions. After that, we derive the generating function of these octonions as well as investigated some properties over them. Also, as another main result of this paper, we give the summations for bi-periodic Fibonacci octonions. 
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
math.NT