Fibonacci and Lucas Sedenions
Department of Computer Education and Instructional Technology
Ümit Tokeşer and Zafer Ünal
Department of Mathematics
Faculty of Arts and Sciences
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
Full version: pdf,
(Concerned with sequences
Received July 13 2016; revised versions received December 1 2016;
December 27 2016.
Published in Journal of Integer Sequences, December 27 2016.
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