On the Lucas Base and Computation of Counting Function Mean Value
On the Lucas Base and Computation of Counting Function Mean Value作者机构:CollegeofMath-ematicsandInformationScienceHenanUniversityKaifeng475001China DepartmentofMathematicsWeinanTeacher'sCollegeWeinan714000China
出 版 物:《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))
年 卷 期:2004年第19卷第1期
页 面:84-89页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:Supported by the Education Department Foundation of Shaanxi Province(03JK213) Supported by the Weinan Teacher's College Foundation(03YKF001)
主 题:Lucas sequence Fibonacci sequence mean value counting fuction
摘 要:In this paper, we introduce a new counting function a(m) related to the Lucas number, then use conjecture and induction methods to give an exact formula Ar(N)=α(n), (r=1,2,3) and prove them.