“…are arbitrary integers and r, s, t are real numbers. See also [1], [46] for Tribonacci quaternions, [16] for third order Jacobsthal quaternions, [17] for dual third order Jacobsthal quaternions and [48] for Padovan and Pell-Padovan quaternions.…”
Section: Generalized Tribonacci Sedenions and It's Generating Functio...mentioning
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this work, we introduce the generalized Tribonacci sedenion and present some properties of this sedenion.
“…are arbitrary integers and r, s, t are real numbers. See also [1], [46] for Tribonacci quaternions, [16] for third order Jacobsthal quaternions, [17] for dual third order Jacobsthal quaternions and [48] for Padovan and Pell-Padovan quaternions.…”
Section: Generalized Tribonacci Sedenions and It's Generating Functio...mentioning
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this work, we introduce the generalized Tribonacci sedenion and present some properties of this sedenion.
“…and Karataş [8], and Polatlı [17], Szynal-Liana and Wloch [21] and Tasci [23] for second order quaternion sequences and Akkus and Kızılaslan [2], Szynal-Liana and Wloch [22], Tasci [24], Cerda-Morales [5] for third order quaternion sequences.…”
Section: Formulas and Summations Formulasmentioning
The quaternions form a 4-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tetranacci and Tetranacci-Lucas quaternions. Furthermore, we present some properties of these quaternions and derive relationships between them.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.