A bijective proof of Riordan's theorem on powers of Fibonacci numbers

被引：4

作者：

Dujella, A ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math Sci, Zagreb 10000, Croatia

来源：

DISCRETE MATHEMATICS | 1999年 / 199卷 / 1-3期

关键词：

Fibonacci numbers; Lucas numbers; generating function; Cassini's identity; Morse codes;

D O I：

10.1016/S0012-365X(98)00341-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-k(x)= Sigma(n=0)(infinity) F(n)(k)x(n). Using the interpretation of Fibonacci numbers in the terms of Morse codes, we give a bijective proof of Riordan's formula [GRAPHICS] where L-k =F-k + Fk-2, and a(kj) is defined by means of [GRAPHICS] (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：217 / 220

页数：4

共 28 条

[1] On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers
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