数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURANL OF AMTHEMTICS
2004年
1期
84-89
,共6页
Lucas sequence%Fibonacci sequence%mean value%counting ruction
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 Aγ(N)=∑n<N a(n),(γ=1,2,3)and prove them.