Determinant and Permanent of Hessenberg Matrix and Fibonacci Type Numbers

In this paper, we obtain determinants and permanents of some Hessenberg matrices that give the terms of k sequences of generalized order-k Fibonacci numbers for k=2. These results are important, since k sequences of generalized order-k Fibonacci numbers for k=2 are general form of ordinary Fibonacci sequence, Pell sequence and Jacobsthal sequence.