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《Journal of Chongqing University of Science and Technology(Natural Sciences Edition)》 2017-04
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On the Limit of Nonlinear Recurrent Sequences With Exponential Change

FAN Shoufang;School of Information Engineering,Suihua University;  
In this paper,we study the convergence and divergence of sequence{F_n} given by recurrence F_(n+p)=∑pi=1a_iFb_i(n)n+i-1,n≥1.We prove that under a certain condition,the sequence {F_n} is convergent,and its limit value does not depend on the initial value F_i 0,i=1,2,…,p.
【Fund】: 2013年黑龙江省教育厅科学技术研究项目“变系数非线性递归序列性质的研究”(12531841)
【CateGory Index】: O171
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