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倒数递推数列
引用本文:朱艺华.倒数递推数列[J].大学数学,1994(4).
作者姓名:朱艺华
作者单位:浙江工业大学
摘    要: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。

关 键 词:倒数递推数列

The Reciprocal Recurrence Sequence
Zhu Yihua.The Reciprocal Recurrence Sequence[J].College Mathematics,1994(4).
Authors:Zhu Yihua
Institution:Zhejiang University of Techology
Abstract:Since Fibonacci sequence was borne, the Linear Recurrence Sequence (LRS) {an}:an+2=pan+1 + qan (1)has become increasingly popular. Accordingly, the articles on it defy enumeration. However, almost none of them concerns the Reciprocal Recurrence Sequence (RRS). In this paper, we propose the definition of the RRS, give the formula of its general term, and show the intrinsic relations between the LRS and the RRS.
Keywords:the Reciprocal Recurrence Sequence
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