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arXiv · 1806.07362

Quadratic Approximation of Generalized Tribonacci Sequences

Gamaliel Cerda-Morales
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Abstract

In this paper, we give quadratic approximation of generalized Tribonacci sequence $\{V_{n}\}_{n\geq0}$ defined by Eq. (\ref{eq:7}) and use this result to give the matrix form of the $n$-th power of a companion matrix of $\{V_{n}\}_{n\geq0}$. Then we re-prove the cubic identity or Cassini-type formula for $\{V_{n}\}_{n\geq0}$ and the Binet's formula of the generalized Tribonacci quaternions.

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BibTeXRIS

Gamaliel Cerda-Morales. 2018-06-19. Quadratic Approximation of Generalized Tribonacci Sequences. https://doi.org/10.7151/dmgaa.1288

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