1) second order linear recurrent sequence
二阶线性递归数列
1.
The essay discusses the characters of the second order linear recurrent sequence, which any number three , number four and number five terms of sequence nestie up, and develops the definition of the arithmetical progress and the geometric series in the united form according to these characters.
讨论了二阶线性递归数列任意相邻三项、四项、五项的性质,并且由性质导出了等差数列与等比数 列在统一形式意义下的定义。
2) second-order linear recursive sequence
二阶线性递归序列
1.
In this paper,we give facterizations of the second-order linear recursive sequence.
本文给出了一般二阶线性递归序列{un}n≥0和{vn}n≥0的分解式。
4) linear recursion sequence
线性递归数列
1.
Then, two conjectures are brought forward, which are proved that there are relations between the two deformations and a class of linear recursion sequences such as a_(n+k+l)=a_(n+k)+a_n.
从杨辉三角的两种基本变体即错位变体和克隆变体的概念,提出两个猜想,并证明两种变体的各行和与形如a_(n+k+l)=a_(n+k)+a_n的线性递归数列的对应关系,同时给出这类递归数列的两种通项公式1)。
5) nd order linear constant coefficient progressive regression equation
二阶线性常系数齐次递归式
6) homogeneous linear recurrent sequence of number
齐次线性递归数列
1.
This article provides the sufficient condition of how to judge if a sequence of number is a homogeneous linear recurrent sequence of number according to the formula of general term,and the structure of its recursive equation.
给出并证明了由数列的通项公式判定其是齐次线性递归数列的充分条件,以及其递归方程的构造。
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+1＝qan（q≠0，n＝1，2，…）给出定义。一般地，递归数列的前k项a1，a2，…，ak为已知数，从第k＋1项起，由某一递推公式an+k＝f（an，an+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+1＝an＋an-1（n＝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+1－an ＝an－an-1( a1，a2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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