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ON THE ADJACENCY-PELL NUMBERS

机译:在邻近沉积物数量

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In this paper, we define the adjacency-Pell sequences and then we obtain their miscellaneous properties such as the generating matrix, the Binet formula, the permanental representations, the determinantal representations, the combinatorial representations, the generating function, the exponential representation and the sums. Also, we obtain the cyclic groups by the generating matrices of the adjacency-Pell numbers when read modulo alpha and we study the adjacency-Pell sequences modulo alpha. Then we derive the relationships between the orders of the cyclic groups obtained and the periods of the adjacency-Pell sequences modulo alpha.
机译:在本文中,我们定义了邻接Pell序列,然后我们得到了它们的各种性质,如生成矩阵、Binet公式、永久表示、行列式表示、组合表示、生成函数、指数表示和和。此外,我们还通过读取模α时邻接佩尔数的生成矩阵得到了循环群,并研究了模α的邻接佩尔序列。然后我们推导了所得到的循环群的阶数与模α的邻接Pell序列的周期之间的关系。

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