On the Lucas Base and Computation of Counting Function Mean Value

Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (1): 84-89.

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)；

Abstract

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

CLC Number:

O156.4

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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On the Lucas Base and Computation of Counting Function Mean Value

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