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一类广义的Pell序列及其性质
引用本文:杨胜良,贾彦益,崔丽雯. 一类广义的Pell序列及其性质[J]. 兰州理工大学学报, 2012, 38(1): 125-128
作者姓名:杨胜良  贾彦益  崔丽雯
作者单位:兰州理工大学理学院,甘肃兰州,730050
摘    要:引入一类新的广义k-Pell序列,建立普通Pell序列与广义k-Pell序列之间的关系,并得到当k=2时广义k-Pell序列所满足的递推关系及其发生函数.

关 键 词:Pell序列  广义k-Pell序列  发生函数  递推关系

A class of generalized Pell sequences and their properties
YANG Sheng-liang , JIA Yan-yi , CUI Li-wen. A class of generalized Pell sequences and their properties[J]. Journal of Lanzhou University of Technology, 2012, 38(1): 125-128
Authors:YANG Sheng-liang    JIA Yan-yi    CUI Li-wen
Affiliation:(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China)
Abstract:A class of new generalized k-Pell sequences was introduced and the relation of the ordinary Pell sequences to the k-Pell sequences was established.Furthermore,the recurrent relation satisfied by the generalized k-Pell sequences with k=2 and its generating function were obtained.
Keywords:Pell sequence  generalized k-Pell sequence  generating function  recurrent relation
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