摘要
上楼梯问题是一个经典名题,经常出现在各类数学竞赛中。本文利用组合数学及线性代数的方法对上楼梯问题进行了深入的讨论,得到了上楼梯问题中三种情况的通项公式。
The problem of going upstairs is a classic mathematical problem which often appeared in mathematical contest of various kinds. In this paper, the problem of going upstairs is analyzed in depth by the use of linear algebra and combinatorial mathematics. The general formula of the problem is obtained in three cases.
出处
《塔里木大学学报》
2009年第4期35-37,共3页
Journal of Tarim University
关键词
楼梯问题
斐波那契数列
范得蒙行列式
特征方程
problem of going upstairs
Fibonacci sequence
Vandermonde determinant
characteristic equation
