Geodesic
Fibonacci and Lucas sedenions
Journal of integer sequences, Tome 20 (2017) no. 1
The sedenions form a 16-dimensional non-associative and non-commutative algebra over the set of real numbers. In this paper, we introduce the Fibonacci and Lucas sedenions. We present generating functions and Binet formulas for the Fibonacci and Lucas sedenions, and derive adaptations for some well-known identities of Fibonacci and Lucas numbers.
Classification : 11B39, 20N05, 17A45
Keywords: sedenion, Fibonacci sedenion, Lucas sedenion 
@article{JIS_2017__20_1_a3,
     author = {Bilgici,  G\"oksal and Toke\c{s}er,  \"Umit and \"Unal,  Zafer},
     title = {Fibonacci and {Lucas} sedenions},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {1},
     zbl = {1367.11021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_1_a3/}
}
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Bilgici,  Göksal; Tokeşer,  Ümit; Ünal,  Zafer. Fibonacci and Lucas sedenions. Journal of integer sequences, Tome 20 (2017) no. 1. http://geodesic.mathdoc.fr/item/JIS_2017__20_1_a3/