Alternating Sums of the Reciprocal Fibonacci Numbers

被引：0
|
作者：
Wang, Andrew Yezhou [1 ]
Yuan, Tingrui [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Commun & Informat Engn, Chengdu 611731, Peoples R China
来源：
JOURNAL OF INTEGER SEQUENCES | 2017年 / 20卷 / 01期
关键词：
Fibonacci number; alternating sum; reciprocal;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the alternating sums of the reciprocal Fibonacci numbers Sigma(mn)(k=n) (-1)(k)/Fak+b, where a is an element of {1, 2, 3} and b < a. The integer parts of the reciprocals of these stuns are expressed explicitly in terms of the Fibonacci numbers.
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页数：35
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