摘要
根据Lucas序列的递归关系,利用Lucas序列生成的母函数,得到了几个关于Lucas序列的恒等式和同余式,揭示了Lucas序列之间的内在联系.
In this paper, based on the recursion of Lucas numbers, we obtained some identical equations and congruences about Lucas numbers by using generating functions produced with Lucas numbers and revealed the internal relationship between Lucas numbers.
出处
《淮阴师范学院学报（自然科学版）》
CAS
2003年第4期268-270,共3页
Journal of Huaiyin Teachers College;Natural Science Edition
基金
江苏省教育厅自然科学基金资助项目(01KJD11005)
关键词
LUCAS序列
母函数
恒等式
同余式
Lucas numbers
generating function
identical equation
congruence
