“…There are many generalizations of this sequence in the literature. The second order recurrence (1) has been generalized in two ways: first, by preserving the initial conditions and second, by preserving the recurrence relation. We recall some of such generalizations: 1) k-Jacobsthal sequence {j k,n } [5], j k,n+1 = kj k,n + 2j k,n−1 for k ≥ 1 and n ≥ 1 with j k,0 = 0, j k,1 = 1, 2) k-Jacobsthal sequence {J k,n } [3], J k,n+1 = J k,n + kJ k,n−1 for k ≥ 1 and n ≥ 1 with J k,0 = 0, J k,1 = 1, 3) generalized Jacobsthal p-sequence {J p } [1], for any p ∈ Z + and n > p + 1…”