• Corpus ID: 251741208

# The Fibonacci decomposition of symmetric Tetranacci polynomials

@inproceedings{Leumer2022TheFD,
title={The Fibonacci decomposition of symmetric Tetranacci polynomials},
author={Nico Leumer},
year={2022}
}
. In this manuscript, we introduce (symmetric) Tetranacci polynomials ξ j as a twofold generalization of ordinary Tetranacci numbers, by considering both non unity coeﬃcients and generic initial values in their recursive deﬁnition. The issue of these polynomials arose in condensed matter physics and the diagonalization of symmetric Toeplitz matrices having in total four non-zero oﬀ diagonals. For the latter, the symmetric Tetranacci polynomials are the basic entities of the associated…

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