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| Fibonacci数列倒数的无穷和 | |
| 引用本文： | 王婷婷. Fibonacci数列倒数的无穷和[J]. 数学学报, 2012, 0(3): 517-524 |
| 作者姓名： | 王婷婷 |
| 作者单位： | 西北大学数学系 |
| 基金项目： | 国家自然科学基金资助项目(11071194) |
| 摘 要： | 利用初等方法以及取整函数的性质研究了Fibonacci数列三次倒数的求和问题,获得了该和式倒数取整后的确切值,也就是给出了一个包含Fibonacci数列有趣的恒等式. |
| 关 键 词： | Fibonacci数列 取整函数 恒等式 |
On the Infinite Sum of Reciprocal Fibonacci Numbers |
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| Ting Ting WANG. On the Infinite Sum of Reciprocal Fibonacci Numbers[J]. Acta Mathematica Sinica, 2012, 0(3): 517-524 | |
| Authors: | Ting Ting WANG |
| Affiliation: | Ting Ting WANG Department of Mathematics,Northwest University,Xi’an 710127,P.R.China |
| Abstract: | We use the elementary method and the properties of the floor function to study the infinite sums derived from the reciprocals of the cubic of the Fibonacci numbers,and give a new and interesting identity involving the reciprocals of this sums. |
| Keywords: | Fibonacci numbers floor function identity |
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