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Trigonometric Factorizations of the Pell and Jacobsthal Sequences
Journal of New TheoryThe Pell and Jacobsthal numbers have inspired many studies in mathematics, especially in number theory. In this paper, we derive the trigonometric factorizations of the Pell and Jacobsthal sequences by using determinants of two specific new tridiagonal matrices and the roots of the Chebyshev polynomial of the second kind.
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Notes on Jacobsthal and Jacobsthal-like Sequences
International Journal of Mathematics Trends and Technology, 2016openaire +1 more source
THE ADJACENCY-JACOBSTHAL SEQUENCE IN FINITE GROUPS
2019The adjacency-Jacobsthal sequence and the adjacency-Jacobsthal matrix were defined by Deveci and Artun (see [5]). In this work, we consider the cyclic groups which are generated by the multiplicative orders of the adjacency-Jacobsthal matrix when read modulo alpha (alpha > 1).
Akuzum, Yesim +2 more
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Ternary modified Collatz sequences and Jacobsthal numbers
J. Integer Seq., 2016Summary: 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 \(3^N\) for an arbitrary large integer \(N\).
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On {ar h}-Jacobsthal and {ar h} -Jacobsthal–Lucas sequences, and related quaternions.
2019In this paper, inspired by recent articles of A. Szynal-Liana & I. Wloch and F. T. Aydin & S. Yu ̈ce (see [26] and [2]), we will introduce the h ̄-Jacobsthal quaternions and the h ̄-Jacobsthal–Lucas sequences and their associated quaternions. The new results that we have obtained extend most of those obtained in [26].
Giuseppina Anatriello, Giovanni Vincenzi
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Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal–Lucas sequence
Random Operators and Stochastic Equations, 2020Mykola Pratsiovytyi +2 more
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Hyperbolic $$\pmb k$$-Jacobsthal and $$\pmb k$$-Jacobsthal-Lucas Quaternions
Indian Journal of Pure and Applied Mathematics, 2021A D Godase, Mine Uysal, Engin Özkan
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Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Chaos, Solitons and Fractals, 2021Dursun Tasci, Emre Sevgi
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The Jacobsthal Sequences in The Groups Q2n, Q2nXqZ2m and Q2nXZ2m
2015In [8], Deveci et.al defined the generalized order-k Jacobsthal orbit kG of a finitely generated group GA J A, where ka ,ka A1,,a a2,, to be the sequence of the elements of G such that ...
DEVECİ, Omur, SAGLAM, Gencay
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