On the k-Mersenne–Lucas numbers
Mourad Chelgham, Ali Boussayoud
Abstract
In this paper, we will introduce a new definition of k-Mersenne–Lucas numbers and investigate some properties. Then, we obtain some identities and established connection formulas between k-Mersenne–Lucas numbers and k-Mersenne numbers through the use of Binet’s formula.
Topics & Concepts
Mersenne primeLucas sequenceLucas numberMathematicsConnection (principal bundle)Perfect numberCombinatoricsArithmeticFibonacci numberFibonacci polynomialsOrthogonal polynomialsDifference polynomialsGeometryAdvanced Mathematical Theories and ApplicationsAdvanced Mathematical TheoriesBiofield Effects and Biophysics