Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadratic Approximation of Generalized Tribonacci Sequences   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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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph