SOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERS

被引：0

作者：

Tekcan, Ahmet ^{[1
]}

Ozkoc, Arzu ^{[2
]}

Erasik, Meltem E. ^{[1
]}

机构：

[1] Uludag Univ, Fac Sci, Dept Math, Bursa, Turkey

[2] Duzce Univ, Fac Arts & Sci, Dept Math, Duzce, Turkey

来源：

ARS COMBINATORIA | 2016年 / 128卷

关键词：

Fibonacci numbers; Lucas numbers; Pell numbers; oblong numbers; balancing numbers; binary linear recurrences; circulant matrix; spectral norm; simple continued fraction expansion; cross-ratio;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k >= 0 be an integer. Oblong (pronic) numbers are numbers of the form O-k = k(k+1). In this work, we set a new integer sequence B = B-n(k) defined as B-0 = 0, B-1 = 1 and B-n = O-k Bn-1 - Bn-2 for n >= 2 and then derived some algebraic relations on it. Later, we give some new results on balancing numbers via oblong numbers.

引用

页码：11 / 31

页数：21