The Jacobsthal Sequences in Finite Groups
Abstract In this paper, we study the generalized order Jacobsthal sequences modulo for and the generalized order k Jacobsthal Padovan sequence modulo for Also, we define the generalized order k Jacobsthal orbit of a k generator group for and the generalized order k Jacobsthal Padovan orbit a k generator group for Furthermore, we obtain the lengths of the periods of the generalized order 3 Jacobsthal orbit and the generalized order 3 Jacobsthal Padovan orbit of the direct product, and the semidirect product