Asian Research Journal of Mathematics

In this study, we introduce the generalized dual Edouard numbers, a novel class of numerical sequences that extend classical recurrence relations within a broader mathematical framework. Several notable special cases particularly the dual Edouard numbers and dual Edouard-Lucas numbers are examined in depth, each exhibiting rich combinatorial and algebraic structures. We derive explicit formulations for these sequences, including Binet-type expressions, generating functions, and summation identities, which provide analytical insight into their intrinsic behavior and structural characteristics. Furthermore, we investigate their matrix representations, offering a refined algebraic approach for theoretical exploration and potential applications in related fields.