2 x n座位混乱

IF 0.1 Q4 MATHEMATICS Cogent mathematics & statistics Pub Date : 2018-01-01 DOI:10.1080/25742558.2018.1492887

Monrudee Sirivoravit, U. Leerawat

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引用次数: 0

摘要

摘要在本文中，我们研究了2n个人坐在2行n列的无序性。根据以下情况，人们可以通过多种方式重新安排座位。每个座位由一个人定位，另一个人重新占据，每个人移动到水平、垂直或对角相邻座位。我们为解决这个问题建立了递推关系系统，并提供了递推系统的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The 2 x n seating derangements

Abstract In this paper, we study the derangement of 2n persons sitting 2 rows and n columns. In how many ways can the persons rearrange their seating in accordance with the following condition. Each seat is located by one person and reoccupied by another person and each person moves to a horizontal or a vertical or a diagonal neighboring seat. We establish the system of recurrence relations for the solution of this problem and provide the solution of the system of recurrence relations.

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