TILINGS OF A HONEYCOMB STRIP AND HIGHER ORDER FIBONACCI NUMBERS

被引：0
作者：
Doslic, Tomislav [1 ,2 ]
Podrug, Luka [1 ]
机构：
[1] Univ Zagreb, Fac Civil Engn, Zagreb, Croatia
[2] Fac Informat Studies, Novo Mesto, Slovenia
来源：
CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2024年 / 19卷 / 02期
关键词：
tilings; hexagonal lattice; tribonacci numbers; tetranacci num- bers; Padovan numbers; Fibonacci numbers; Narayana's cow sequence;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we explore two types of tilings of a honeycomb strip and derive some closed -form formulas for the number of tilings. Furthermore, we obtain some new identities involving tribonacci numbers, Padovan numbers and Narayana's cow sequence and provide combinatorial proofs for several known identities about those numbers.
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收藏
页码：56 / 81
页数：26
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