西华大学学报（自然科学版）2017，Vol.36Issue(1)：47-49,3.DOI:10.3969/j.issn.1673-159X.2017.01.009
Lucas数列的模数列周期性的一个性质
An Character of the Period of Modular Sequence of Lucas Sequence
摘要
Abstract
The Modular Sequence of Lucas Sequence is the periodic sequence as well as a simple periodic sequence. According to the definition of modular sequence, we discussed a character of the period of modular sequence of Lucas sequence and obtained a prop-erty :If m1 and m2 are different positive integers, and the least positive periods of the modular sequence{bn ( m1 )}and{bn ( m2 ) of Lu-cas sequence Ln are T1 and T2 respectively, then the least positive period of the modular sequence {bn [ m1 ,m2 ]} is T1 ,T2 .关键词
Lucas数列/模数列/最小正周期/最小公倍数Key words
Lucas sequence/modular sequence/least positive period/least common multiple分类
数理科学引用本文复制引用
陈小芳..Lucas数列的模数列周期性的一个性质[J].西华大学学报（自然科学版）,2017,36(1):47-49,3.基金项目
国家自然科学基金资助项目(11501419) （11501419）
陕西省教育厅科学研究计划专项项目(15JK1262) （15JK1262）
陕西省军民融合项目(16JMR11) （16JMR11）
陕西省教育厅科学研究计划专项项目(15JK1247). （15JK1247）
