Quadratic Approximation of Generalized Tribonacci Sequences

In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the cubic identity or Cassini-type formula for {V...

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Autor principal:	Cerda-Morales Gamaliel
Format:	Artigo
Idioma:	Inglês
Publicat:	University of Zielona Góra 2018-12-01
Col·lecció:	Discussiones Mathematicae - General Algebra and Applications
Matèries:	binet’s formula companion matrix generalized tribonacci sequence narayana number padovan number quadratic approximation tribonacci number primary: 11b39 secondary: 15a24, 40c05
Accés en línia:	https://doi.org/10.7151/dmgaa.1288
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