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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
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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.
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)
出处 《数学学报(中文版)》 CSCD 北大核心 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)。
关键词 FIBONACCI数列 取整函数 恒等式 Fibonacci sequence floor function identity
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