A note involving two-by-two matrices of the k-Pell and k-Pell-Lucas sequences
نویسندگان
چکیده
منابع مشابه
A Note Involving Two-by-Two Matrices of the k-Pell and k-Pell-Lucas Sequences
We use a diagonal matrix for getting the Binet’s formula for k-Pell sequence Also the n power of the generating matrix for k-Pell-Lucas sequence is established and basic properties involving the determinant allow us to obtain its Cassini’s identity. Mathematics Subject Classification: 11B37, 05A15, 11B83.
متن کاملk-Pell, k-Pell-Lucas and Modified k-Pell Numbers: Some Identities and Norms of Hankel Matrices
In this paper we present some identities involving terms of k-Pell, k-Pell-Lucas and Modified k-Pell sequences. We also give some results on the column and row norms of Hankel matrices which entries are numbers of these sequences. Mathematics Subject Classification: 11B37, 11B83, 15A60
متن کاملSome Basic Properties and a Two-by-Two Matrix Involving the k- Pell Numbers
In this paper we consider the k-Pell numbers sequence and present some properties involving the k-Pell numbers. The theoretical basis of using generating matrices for deriving the explicit formula for the term of order n of the k-Pell numbers sequence and also to get the well-known Cassini’s identity using linear algebra. Mathematics Subject Classification: 11B37, 05A15, 11B83.
متن کاملOn Pell, Pell-Lucas, and balancing numbers
In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the integer sequences mentioned in the text.
متن کاملTwo-by-Two Matrices Involving -Fibonacci and -Lucas Sequences
In this paper we derive the explicit formula for the term of order of the -Fibonacci and -Lucas sequences and also get the well-known Cassini’s identity using some tools of linear algebra. The Binet’s formulas of both sequences are also deduced from the diagonalization of the respective generating matrices. Mathematics Subject Classification 2010: 11B37, 11B39, 11B83.
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ژورنال
عنوان ژورنال: International Mathematical Forum
سال: 2013
ISSN: 1314-7536
DOI: 10.12988/imf.2013.38164