On characteristic polynomial of higher order generalized Jacobsthal numbers.

In this paper, we study a higher order generalization of the Jacobsthal sequence, namely, the (k , c) -Jacobsthal sequence (J n (k , c)) for any integers n, k ≥ 2 and a real number c > 0 . In particular, we find information about roots of its characteristic polynomial. For that purpose, we combine some powerful tools such as Marden's method, the Perron–Frobenius theorem, and the Eneström–Kakeya theorem. [ABSTRACT FROM AUTHOR]