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On Third Order Hyperbolic Jacobsthal Numbers
2021In this paper, we introduce the hyperbolic third order Jacobsthal and Jacobsthal-Lucas numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers.
DİKMEN, Can Murat, ALTINSOY, Mustafa
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A note on k-circulant matrices with the generalized third-order Jacobsthal numbers
Advanced Studies: Euro-Tbilisi Mathematical JournalThis paper studies sequences defined by the third-order recurrence relation \[ V_n = V_{n-1} + V_{n-2} + 2V_{n-3}, \] with arbitrary initial conditions. The work fits into the broader line of research on generalizations of classical sequences. The authors follow a standard framework, deriving a collection of straightforward identities of the kind that ...
Soykan, Yüksel, Taşdemir, Erkan
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On bicomplex third-order Jacobsthal numbers
Complex Variables and Elliptic Equations, 2021openaire +1 more source
The Frobenius Number for Jacobsthal Triples Associated with Number of Solutions
Axioms, 2023Takao Komatsu
exaly
Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Chaos, Solitons and Fractals, 2021Dursun Taşcı, Emre Sevgi
exaly
Identities for Third Order Jacobsthal Quaternions
Advances in Applied Clifford Algebras, 2016Gamaliel Cerda-Morales
exaly