Abstract
In this study, we define some tridigional matrices depending on two real parameters. By using the determinant of these matrices, the elements of (s,t)-Pell, (s,t)-Pell Lucas and (s,t)-modified Pell sequences with even or odd indices are generated. Then we construct the inverse matrices of these tridigional matrices. We also investigate eigenvalues of these matrices.
Highlights
Introduction and PreliminariesSpecial integer sequences are encountered in different branches of science, art, nature, the structure of our body
It is a popular topic in applied mathematics
Some elements of (s, t)-Pell and (s, t)-Pell Lucas sequences are given in the following tables: n (s, t) − Pell numbers
Summary
Introduction and PreliminariesSpecial integer sequences are encountered in different branches of science, art, nature, the structure of our body. By the determinant of the tridiagonal matrix, the values of the Fibonacci and Lucas numbers are demonstrated in [8]. Catarino obtained the n-th elements of k-Pell, k-Pell-Lucas, and modified k-Pell sequences by the determinants of some tridiagonal matrices in [13].
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