关于 k-Fibonacci 与 k-Lucas 序列线性组合生成的序列
数论
2017-05-31 v3
摘要
Fibonacci 序列是一个已被研究了数百年的数字序列。在本文中，我们引入了新序列 ，其初始条件为 和 ，该序列由递推关系 （对于 ）生成，其中 、、 为实数。利用序列 ，我们引入并证明了一些特殊恒等式。此外，我们还处理了序列 的循环矩阵和斜循环矩阵。
引用
@article{arxiv.1606.08152,
title = {On the sequence made by the linear combination of k-Fibonacci and k-Lucas sequences},
author = {Kyunghwan Song and Youngwoo Kwon},
journal= {arXiv preprint arXiv:1606.08152},
year = {2017}
}
备注
This paper has been withdrawn by the author due to some improved results were made by co-authors