Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634822 | Applied Mathematics and Computation | 2008 | 8 Pages |
Abstract
In this paper, using elementary symmetric function and complete homogeneous symmetric function, we obtain a determinant formula for the k-generalized Fibonacci sequence. The relationship between the k-generalized Fibonacci sequence and the order-k linear homogeneous recurrence relation has been investigated, and a general solution for the latter is also derived. Furthermore, we obtain an explicit expression for the elements in the nth power of the companion matrix in terms of k-generalized Fibonacci numbers.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Sheng-liang Yang,