Generalised k- Jacobsthal 2^m Ions (For Fixed m) Quarternions, Sedenions

Abstract

In this paper we deliberate about Generalised k- Jacobsthal Quaternions, Octonions, and Sedenions. We discuss Binet formula, Generating function, Catalan Identity, Cassini Identity, D’Ocagne’s Identity of them. From that we extent the same results for k- Jacobsthal, Generalised k- Jacobsthal.