一种特殊递推关系序列的判断及求解  

Judging and solving for a kind of particular recurrence sequence

作　　者：苏尔[1] 

机构地区：[1]浙江传媒学院计算机系,浙江杭州310018

出　　处：《湘潭师范学院学报（自然科学版）》2004年第4期4-6,共3页Journal of Xiangtan Normal University (Natural Science Edition)

摘　　要：对于特征多项式为C(x) =(x- 1) r的特殊递推序列an,给出了它的通解求法以及判定它的充要条件 :存在整数r≥ 1,对任意的n≥ 0 ,Δran =0成立。其中Δran 为递推序列 {an}的r阶差分。For the special recurrence sequence ｛a_n｝, the characteristic polynomial of which is C(x)=(x-1)r ,the article give a general solution of that and an abundant and essential condition of judging that:existing integer r:r≥1,for whichever n≥0, Δra_n=0 is certainly be obtained. There Δra_n is called r steps of distinction of recurrence sequence ｛a_n｝.

关 键 词：递推序列 递推关系 特征多项式 求解 通解 充要条件 阶差 整数 求法 判定 

分 类 号：G633[文化科学—教育学] O193[理学—数学]