Some Properties between Lichtenberg, Jacobsthal and Mersenne Gaussian Numbers

Abstract

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.

Keywords

• Gauss numbers
• Jacobsthal numbers
• Lichtenberg numbers
• Mersenne numbers

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