konuralp j. math. Konuralp Journal of Mathematics 2147-625X Mehmet Zeki SARIKAYA Complex Systems in Mathematics Matematikte Kompleks Sistemler Some Properties between Lichtenberg, Jacobsthal and Mersenne Gaussian Numbers https://orcid.org/0000-0003-3164-4434 Morales Gamaliel Pontificia Universidad Católica de Valparaíso 04 30 2025 13 1 21 27 07 22 2024 11 05 2024 Copyright © 2013, Konuralp Journal of Mathematics 2013 Konuralp Journal of Mathematics

We define the Gauss Lichtenberg numbers. Then we give a formula for the Gauss Lichtenberg numbers by using the Lichtenberg numbers. We show that there is a relation between the Gauss Lichtenberg numbers, Lichtenberg, Jacobsthal and Mersenne numbers. Their Binet’s formulas are obtained. We also define the matrices of the Gauss Lichtenberg numbers. We examine properties of the matrices.

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