Fibonacci数列奇偶数项三次方的倒数和取整公式  

The Reciprocal Sums of the Cubes of Odd and Even Terms in the Fibonacci Sequence

作　　者：黎洪键 贺玉清 Hong Jian LI;Yu Qing HE(School of Mathematics and Statistics,Guangdong University of Foreign Studies,Guangzhou 510006,P.R.China;School of Mathematical Sciences,South China Normal University,Guangzhou 510631,P.R.China)

机构地区：[1]广东外语外贸大学数学与统计学院,广州510006 [2]华南师范大学数学科学学院,广州510631

出　　处：《数学学报（中文版）》2024年第5期926-938,共13页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(12171163)。

摘　　要：本文利用初等数论的知识研究Fibonacci数列奇偶数项三次方的倒数和问题并给出两个有趣的恒等式.In this paper,we investigate the reciprocal sums of the cubes of odd and even terms in the Fibonacci sequence and we obtain two interesting identities for the Fibonacci numbers.

关 键 词：FIBONACCI数列 取整函数 恒等式 

分 类 号：O156[理学—数学]