On a new type of distance Fibonacci numbers

被引:29
|
作者
Wloch, Iwona [1 ]
Bednarz, Urszula [1 ]
Brod, Dorota [1 ]
Wloch, Andrzej [1 ]
Wolowiec-Musial, Malgorzata [1 ]
机构
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, PL-35359 Rzeszow, Poland
关键词
Generalized Fibonacci numbers; Cassini formula; Partition; Matchings; SEQUENCE; SETS;
D O I
10.1016/j.dam.2013.05.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we define a new kind of Fibonacci numbers generalized in the distance sense. This generalization is related to distance Fibonacci numbers and distance Lucas numbers, introduced quite recently. We also study distinct properties of these numbers for negative integers. Their representations and interpretations in graphs are also studied. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:2695 / 2701
页数:7
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