Bilgici G., Daşdemir A.Bilgici, G, Dasdemir, A2023-05-092023-05-092020-01-012020.01.011406-2283https://hdl.handle.net/20.500.12597/13559A number of studies have investigated the Fibonacci quater-nions and octonions that include consecutive terms of the Fibonacci sequence. This paper presents a new generalization of Fibonacci quater-nions, octonions and sedenions, where non-consecutive Fibonacci numbers are used. We present the Binet formulas, generating functions and some identities for these new types of hyper-complex numbers.trueFibonacci octonion | Fibonacci quaternion | Fibonacci sedenionArticle10.12697/ACUTM.2020.24.0310.12697/ACUTM.2020.24.032-s2.0-85091383829WOS:0005752072000033748242228-4699