The Relation Between Chebyshev Polynomials and Jacobsthal and Jacobsthal Lucas Sequences
نویسندگان
چکیده
منابع مشابه
New families of Jacobsthal and Jacobsthal-Lucas numbers
In this paper we present new families of sequences that generalize the Jacobsthal and the Jacobsthal-Lucas numbers and establish some identities. We also give a generating function for a particular case of the sequences presented. Introduction Several sequences of positive integers were and still are object of study for many researchers. Examples of these sequences are the well known Fibonacci ...
متن کاملExact Determinants of the RFPrLrR Circulant Involving Jacobsthal, Jacobsthal-Lucas, Perrin and Padovan Numbers
Circulant matrix family occurs in various fields, applied in image processing, communications, signal processing, encoding and preconditioner. Meanwhile, the circulant matrices [1, 2] have been extended in many directions recently. The f(x)-circulant matrix is another natural extension of the research category, please refer to [3, 11]. Recently, some authors researched the circulant type matric...
متن کاملOn Jacobsthal Binary Sequences
S. Magliveras and W. Wei∗, Florida Atlantic University Let Σ = {0, 1} be the binary alphabet, and A = {0, 01, 11} the set of three strings 0, 01, 11 over Σ. Let A∗ denote the Kleene closure of A, and Z the set of positive integers. A sequence in A∗ is called a Jacobsthal binary sequence. The number of Jacobsthal binary sequences of length n ∈ Z is the n Jacobsthal number. Let k ∈ Z, 1 ≤ k ≤ n. ...
متن کاملA New Generalization of Jacobsthal Numbers (bi-periodic Jacobsthal Sequences)
The bi-periodic Fibonacci sequence also known as the generalized Fibonacci sequence was fırst introduced into literature in 2009 by Edson and Yayenie [9] after which the bi-periodic Lucas sequence was defined in a similar fashion in 2004 by Bilgici [5]. In this study, we introduce a new generalization of the Jacobsthal numbers which we shall call bi-periodic Jacobsthal sequences similar to the ...
متن کاملTernary Modified Collatz Sequences And Jacobsthal Numbers
We show how to apply the Collatz function and the modified Collatz function to the ternary representation of a positive integer, and we present the ternary modified Collatz sequence starting with a multiple of 3N for an arbitrary large integer N . Each ternary string in the sequence is shown to have a repeating string, and the number of occurrences of each digit in each repeating string is iden...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sakarya University Journal of Science
سال: 2020
ISSN: 1301-4048
DOI: 10.16984/saufenbilder.687708