A new method to compute the terms of generalized order-k Fibonacci numbers

作者：Kaygisiz Kenan^*; Sahin Adem

来源：Journal of Number Theory, 2013, 133(9): 3119-3126.

DOI：10.1016/j.jnt.2013.03.007

• Fibonacci numbers
• k sequences of the generalized
• order-k Fibonacci numbers
• Hessenberg matrix

In this paper, we give a new method to determine the terms of generalized order-k Fibonacci numbers and Fibonacci type sequences by using the inverse of various Hessenberg and triangular matrices. In addition, instead of obtaining the n-th term only, we are able to determine successive (n + 1) terms of these sequences with this method simultaneously.

• 出版日期2013-9