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Lucas numbers and the menage problem

 

作者: Nguyen‐Huu Bong,  

 

期刊: International Journal of Mathematical Education in Science and Technology  （Taylor Available online 1998）
卷期: Volume 29, issue 5  

页码: 647-661

 

ISSN:0020-739X

 

年代: 1998

 

DOI:10.1080/0020739980290502

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

A solution to the menage problem is given through the use of largest rook polynomials. These are rook polynomials whose coefficients have greatest sums which turn out to be Fibonacci numbers, while the sums of the coefficients of the rook polynomial for the reduced ménage problem are Lucas numbers.

 

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