Elliptic Biquaternionic Sequence with Vietoris’ Numbers as Its Components

In this study, we introduce an elliptic biquaternionic sequence with Vietoris’ numbers as its components and discuss some of its properties. Also, the generating function and some identities in terms of elliptic biquaternionic sequence with Vietoris’ numbers are given. Furthermore, the construction of this elliptic biquaternion sequence is presented using matrices that generate the quaternionic sequence where the components are Vietoris’ number, and also by applying the determinant to a special kind of matrices.