关于LUCAS基和一个计数函数均值的计算

数学季刊 ›› 2004, Vol. 19 ›› Issue (1): 84-89.

关于LUCAS基和一个计数函数均值的计算

1.Department of Mathematics, Weinan Teacher's College, Weinan 714000, China; 2.College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

收稿日期:2002-10-21 出版日期:2004-03-30 发布日期:2024-03-27
作者简介:LI Hai-long(1963-),male,native of Weinan,Shaanxi,an associate professor of Weinan Teacher's College,engages in number theory.
基金资助:
Supported by the Education Department Foundation of Shaanxi Province(03JK213)； Supported by the Weinan Teacher’s College Foundation(03YKF001)；

On the Lucas Base and Computation of Counting Function Mean Value

1.Department of Mathematics, Weinan Teacher's College, Weinan 714000, China; 2.College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received:2002-10-21 Online:2004-03-30 Published:2024-03-27
About author:LI Hai-long(1963-),male,native of Weinan,Shaanxi,an associate professor of Weinan Teacher's College,engages in number theory.
Supported by:
Supported by the Education Department Foundation of Shaanxi Province(03JK213)； Supported by the Weinan Teacher’s College Foundation(03YKF001)；

摘要/Abstract

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.

关键词: Lucas , , sequence, Fibonacci , , sequence, mean , , value, counting , , fuction

Abstract: 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.

Key words: Lucas , , sequence, Fibonacci , , sequence, mean , , value, counting , , fuction

中图分类号:

O156.4

李海龙, 刘华珂. 关于LUCAS基和一个计数函数均值的计算[J]. 数学季刊, 2004, 19(1): 84-89.

LI Hai-long, LIU Hua-ke. On the Lucas Base and Computation of Counting Function Mean Value[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 84-89.

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