Results 1 to 10 of about 213 (122)
The relations between bi-periodic jacobsthal and bi-periodic jacobsthal lucas sequence
Cumhuriyet Science Journal, 2021 In this paper, one of the special integer sequences, Jacobsthal and Jacobsthal Lucas sequences which are encountered in computer science is generalized according to parity of the index of the entries of the sequences, called bi-periodic Jacobsthal and ...
Şükran Uygun
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On the recurrences of the Jacobsthal sequence
MATHEMATICA, 2023 In the present work, two new recurrences of the Jacobsthal sequence are defined. Some identities of these sequences which we call the Jacobsthal array is examined. Also, the generating and series functions of the Jacobsthal array are obtained.
Orhan Dışkaya, Hamza Menken
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On The Jacobsthal-Padovan p-Sequences in Groups
Topological Algebra and its Applications, 2017 In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail.
Aküzüm Yesim, Deveci Ömür
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On the properties of Generalized Jacobsthal and Generalized Jacobsthal-Lucas sequences
WSEAS TRANSACTIONS ON MATHEMATICS, 2023 In this paper, we study the Generalized Jacobsthal and Generalized Jacobsthal-Lucas sequences. We also present some properties on relationship between the Generalized Jacobsthal sequence and Generalized Jacobsthal-Lucas sequence by using Binet’s formula for derivation.
Sukanya Somprom +2 more
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The arrowhead-Jacobsthal sequence
Mathematica Montisnigri, 2021 In the present investigation, we define the arrowhead-Jacobsthal sequence by the arrowhead matrix defined with the help of the characteristic polynomial of the generalized order-k Jacobsthal numbers. Next, we derive various properties of the arrowhead-Jacobsthal sequence by using its generating matrix.
Yeşim Aküzüm, Ömür Deveci
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Determinant-preserving blind signatures from Hadamard-type t-Jacobsthal–Leonardo sequences [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a new class of sequences called the termed Hadamard-type t-Jacobsthal-Leonardo sequence which is generated by applying a Hadamard-type product to the characteristic polynomials of the t-Jacobsthal and Leonardo sequences.
Elahe Mehraban +3 more
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On the Lagrange Interpolations of the Jacobsthal and Jacobsthal-Lucas Sequences
Journal of Universal MathematicsThis study explores the formation of polynomials of at most degree $n$ using the first $n+1$ terms of the Jacobsthal and Jacobsthal-Lucas sequences through Lagrange interpolation. The paper provides a detailed examination of the recurrence relations and various identities associated with the Jacobsthal and Jacobsthal-Lucas Lagrange Interpolation ...
Orhan Dışkaya
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On Hyperbolic Jacobsthal-Lucas Sequence
Fundamental Journal of Mathematics and Applications, 2021 In this study, we define the hyperbolic Jacobsthal-Lucas numbers and we obtain recurrence relations, Binet’s formula, generating function and the summation formulas for these numbers.
Sait Taş
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On the Third-Order Jacobsthal and Third-Order Jacobsthal–Lucas Sequences and Their Matrix Representations [PDF]
Mediterranean Journal of Mathematics, 2019 In this paper, we first give new generalizations for third-order Jacobsthal $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$ and third-order Jacobsthal-Lucas $\{j_{n}^{(3)}\}_{n\in \mathbb{N}}$ sequences for Jacobsthal and Jacobsthal-Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$
Gamaliel Cerda-Morales
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Properties and Generalizations of Altered Jacobsthal Numbers Squared and their GCD Sequences
Science and Technology IndonesiaThis paper investigates two types of altered Jacobsthal numbers, namely G(2)J(n) (a) and H(2)J(n) (a), which are obtained by adding or subtracting a specific value, denoted with {a}, from the square of the nth Jacobsthal numbers. These numbers exhibit a
Fikri Koken, Halime Ergun, Yusuf Uzun
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