Results 71 to 80 of about 159 (139)
On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results
Anatriello Giuseppina, Vincenzi Giovanni
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The Adjacency-Jacobsthal-Hurwitz type numbers
Filomat, 2018 In this paper, we define the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind. Then we give the exponential, combinatorial, permanental and determinantal representations and the Binet formulas of the adjacency-Jacobsthal-Hurwitz numbers of the first and second kind by the aid of the generating functions and the generating
Deveci, Ömür, Aküzüm, Yeşim
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Journal of New Theory, 2021 In this study, new formulas for the nth power of (s,t)-Jacobsthal and (s,t)-Jacobsthal Lucas special matrix sequences are established by using determinant and trace of the matrices.
Şükran Uygun
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Some results on one type of graph family with some special number sequences
AKCE International Journal of Graphs and Combinatorics, 2020 In this study, we introduce a new graph family. Then, we calculate eigenvalues of the adjacency and the Laplacian matrix of this graph family. Moreover, we show that the perfect matching number of this graph family equals to special second order ...
Emrullah Kirklar +2 more
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Binomial sums with k-Jacobsthal and k-Jacobsthal–Lucas numbers
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we derive some important identities involving k-Jacobsthal and k-Jacobsthal–Lucas numbers. Moreover, we use multinomial theorem to obtain distinct binomial sums of k-Jacobsthal and k-Jacobsthal–Lucas numbers.
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Triangle Geometry and Jacobstahl Numbers [PDF]
Irish Mathematical Society Bulletin, 2003 The author studies convergence properties of certain triangle centres on the Euler line of an arbitrary triangle. Properties of the Jacobsthal numbers, which appear in this process, are examined.
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Fermatian row and column sums as a family of generalized integers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon +2 more
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On the bi-periodic k-Jacobsthal and k-Jacobsthal-Lucas numbers
Progress in Applied Science and TechnologyThis 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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New families of Jacobsthal and Jacobsthal-Lucas numbers
, 2015 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.
Campos, Helena +4 more
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On the Bounds for the Norms of Toeplitz Matrices with the Jacobsthal and Jacobsthal Lucas Numbers
Journal of Engineering Technology and Applied Sciences, 2019 In this study, we compute the value of the various norms of the Toeplitz matrices whose elements are Jacobsthal numbers, Jacobsthal Lucas numbers and upper and lower bounds for the spectral norms of these matrices. Also, the Euclidean norm of Kronecker product of Toeplitz matrices with Jacobsthal and the Jacobsthal Lucas numbers are denoted.
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