WEIGHTED SUMS OF FIBONACCI AND LUCAS NUMBERS THROUGH COLORFUL TILINGS

被引：0
|
作者：
Dresden, Greg [1 ]
Xiao, Yu [2 ]
机构：
[1] Washington & Lee Univ, Dept Math, Lexington, VA 24450 USA
[2] Shenzhen Middle Sch, Shenzhen, Guangdong, Peoples R China
来源：
FIBONACCI QUARTERLY | 2022年 / 60卷 / 02期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explore the number of different tilings of boards and bracelets with one color of squares, two colors of dominos, three colors of trominos, and so on. We give a visual proof of the surprising connections between these sequences and the Fibonacci and Lucas numbers, which then allows us to establish new identities and new proofs.
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页码：126 / 135
页数：10
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