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1)  recurrence sequence
递推数列
1.
Deriving and application of general term formula of several kinds recurrence sequence;
几类递推数列通项公式的推导及应用
2.
The classification and relationship of recurrence sequences;
递推数列的分类及其相互关系
2)  recursive sequence
递推数列
1.
On the limit of two kinds of recursive sequence;
关于两类递推数列的极限
2.
The general term formula of recursive sequence by applying matrax and integral method;
利用矩阵和积分求递推数列的通项公式
3.
This paper presents several special methods for obtaining the general term formulae of recursive sequences by examples.
递推数列是各类数学竞赛的热点之一。
3)  recurrence sequence of number
递推数列
1.
A method for general term formula of recurrence sequence of number;
谈求递推数列通项公式的一个方法
4)  recurson type sequence
递推式数列
5)  Recursion system of equations
递推数列组
6)  the Reciprocal Recurrence Sequence
倒数递推数列
1.
However, almost none of them concerns the Reciprocal Recurrence Sequence (RRS).
本文给出了倒数递推数列的定义,求出了它的通项公式,并指出它与二阶线性差分数列的内在联系。
补充资料:递归数列
递归数列
recursive sequence 

   一种用归纳方法给定的数列。例如,等比数列可以用归纳方法来定义,先定义第一项a1的值(a1≠0),对于以后的项,用递推公式an+1qanq≠0,n=1,2,…)给出定义。一般地,递归数列的前ka1a2,…,ak为已知数,从第k+1项起,由某一递推公式an+kfanan+1,…,an+k-1)(  n=1,2,…)所确定。k称为递归数列的阶数。例如 ,已知 a1=1,a2=1,其余各项由公式an+1anan-1n=2,3,…)给定的数列是二阶递归数列。这是斐波那契数列,各项依次为 1,1,2,3,5,8,13,21,…,同样,由递归式an+1an =anan-1a1a2为已知,n=2,3,… ) 给定的数列,也是二阶递归数列,这是等差数列。
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