New Identities from a Combinatorial Approach to Generalized Fibonacci and Generalized Lucas Numbers

被引：0

作者：

da Silva, Robson ^{[1
]}

机构：

[1] Fed Univ Sao Paulo UNIFESP, Dept Sci & Technol, BR-12247014 Sao Jose Dos Campos, SP, Brazil

来源：

ARS COMBINATORIA | 2018年 / 137卷

关键词：

Generalized Fibonacci number; Generalized Lucas number; Tiling; TILINGS; PROOFS; GRAPHS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present here some new identities for generalizations of Fibonacci and Lucas numbers by combinatorially interpreting these numbers in terms of numbers of certain tilings of a 1 x m board. As a consequence, some new interesting identities involving the ordinaries Fibonacci and Lucas numbers are derived.

引用

页码：103 / 111

页数：9

共 14 条

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