Results 111 to 120 of about 145 (136)

The Differential Equation in Terms of Jacobsthal and Jacobsthal-Lucas Numbers

2023
Progress in Applied Science and Technology, 13, 1, 1 ...
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Jacobsthal and Jacobsthal-Lucas numbers and sums introduced by Jacobsthal and Tverberg

J. Integer Seq., 2017
Summary: We study the sums introduced by \textit{E. Jacobsthal} [Norske Vid. Selsk. Forhdl. 30, 35--41 (1957; Zbl 0080.26102)] and \textit{H. Tverberg} [Acta Arith. 155, No. 4, 349--351 (2012; Zbl 1276.11011)] and show that the extreme values of the sums are connected with Jacobsthal and Jacobsthal-Lucas numbers.
Kritkhajohn Onphaeng, Prapanpong Pongsriiam   +1 more
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Complex Factorizations Of The Jacobsthal And Jacobsthal Lucas Numbers.

Ars Comb., 2010
In this paper, we present the complex factorizations of the Jacobsthal and Jacobsthal Lucas numbers by determinants of tridiagonal matrices.
Arslan, Saadet, Köken, Fikri
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Triangular numbers in the Jacobsthal family

Integers, 2012
Summary: Using congruences, second-order Diophantine equations, and linear algebra, we identify Jacobsthal and Jacobsthal-Lucas numbers that are also triangular numbers.
Thomas Koshy, Zhenguang Gao
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Jacobsthal numbers and associated Hessenberg matrices

J. Integer Seq., 2018
Summary: In this paper, we define two \(n\times n\) Hessenberg matrices, one of which corresponds to the adjacency matrix of a bipartite graph. We then investigate the relationships between the Hessenberg matrices and the Jacobsthal numbers. Moreover, we give Maple algorithms to verify our results.
Oteles, Ahmet, Karatas, Zekeriya Y., Zangana, Diyar O. Mustafa   +2 more
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Some new properties of modified Jacobsthal and Jacobsthal-Lucas numbers

AIP Conference Proceedings, 2014
A certain generalization of Jacobsthal numbers was proposed in the form Jns,t = sn-(t)ns+t, where n ≥ 0 is a natural number and s ≠ -t are arbitrary real numbers (Atanassov 2011). As an analogue, a modification of Jacobsthal-Lucas numbers was formulated in the form jns,t = sn+(-t)n, where n is a natural number and s and t are arbitrary real numbers ...
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Numerous Determinants Identities Involving Jacobsthal and Jacobsthal Lucas Numbers

Communications on Applied Nonlinear Analysis
Determinants have played an important role in many areas of mathematics. As an example, they are extremely useful in the research and resolution of linear equation and system problems. The study of determinants can be approached from several distinct angles.
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Hyperbolic $$\pmb k$$-Jacobsthal and $$\pmb k$$-Jacobsthal-Lucas Quaternions

Indian Journal of Pure and Applied Mathematics, 2021
A D Godase, Mine Uysal, Engin Özkan
exaly  

Higher-Order Jacobsthal–Lucas Quaternions

Axioms, 2022
Mine Uysal, Engin Özkan
exaly  

An Introduction to the Jacobsthal Numbers

The College Mathematics Journal, 2023
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