Results 41 to 50 of about 20,060 (113)

On The Jacobsthal Numbers By Matrix Method [PDF]

, 2012
: In this paper we consider the usual Jacobsthal numbers. We investigate the identities between the Jacobsthal numbers and matrices, which are introduced for the first time in this paper. We also present a new complex sum formula.
Ahmet Daşdemir
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Solutions of a Markoff type equation in the Jacobsthal- Lucas numbers

Boletim da Sociedade Paranaense de Matemática
Let $\{j_n\}_{n\geq0}$ be the sequence of Jacobsthal- Lucas number, that is given by the relation $j_0=2$, $j_1=1$, $j_n=j_{n-1}+2j_{n-2}$ for all $n\geq2$. In this paper, we study the solutions $(X,Y,Z)$ of the following equation that is so called the Jin-Schmidt equation: \begin{equation*} AX^2 + BY^2 +CZ^2 = DXYZ+1, \end{equation*} where $X=j_i$, $Y=
Qasim N. Alabrahimi, Hayder R. Hashim
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Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers

International Journal of Applied Mathematical Research, 2012
In this paper, we present identities involving common factors of generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
V. K. Gupta, Yashwant Kumar Panwar
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SOME NON-EXTENDABLE DIOPHANTINE TRIPLES IN SPECIAL NUMBER PATTERNS [PDF]

, 2014
In this paper, we present three non-extendable Diophantine triples whose members are special numbers, namely, Triangular number, Jacobsthal number, Jacobsthal-Lucas number, Kynea number and Star number with suitable ...
M A Gopalan, N Thiruniraiselvi, S Vidhyalakshmi   +2 more
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A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

Generalization of some known number sequences [PDF]

, 2009
Bu çalışma üç bölümden oluşmaktadır. İlk bölümde günümüz bilim insanlarının ilgisini çeken Fibonacci, Pell, Lucas ve Jacobsthal sayı dizilerinin tanımları ve bilinen bazı özellikleri verilip, bu dizilerle ilgili olarak tanımlanan genelleştirilmiş sayı ...
Yılmaz, Fatih
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Arctangent Identities Involving the Jacobsthal and Jacobsthal-Lucas Numbers

Electronic Journal of Mathematical Analysis and Applications
This study presents novel arctangent identities that establish connections between the Jacobsthal and Jacobsthal-Lucas numbers. These findings contribute to the understanding of the interplay between trigonometric functions and number theory, particularly in relation to well-known mathematical sequences and constants.
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On the bi-periodic k-Jacobsthal and k-Jacobsthal-Lucas numbers

Progress in Applied Science and Technology
This paper introduces and investigates the bi-periodic Jacobsthal and Jacobsthal–Lucas sequences, extending the classical Jacobsthal framework by incorporating periodicity and a tunable parameter . We establish recurrence relations, derive generating functions, and present Binet-type formulas for these generalized sequences.
Mongkol Tatong, Oam Sthityanak
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Powers in the Lucas sequence when the index is divisible by three [PDF]

, 2011
In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
Rodrigo Hitos, Javier, López González, M. Dolores   +1 more
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Library Line, Spring 1994 [PDF]

, 2018
The Library Line was a publication of the Toledo Lucas County Public Library that ran from 1993 through 2010. It covered library news, events, readers' advisory, and listed donors.
Toledo Lucas County Public Library
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