NEW SUMS IDENTITIES IN WEIGHTED CATALAN TRIANGLE WITH THE POWERS OF GENERALIZED FIBONACCI AND LUCAS NUMBERS

被引：0

作者：

Kilic, Emrah ^{[1
]}

Yalciner, Aynur ^{[2
]}

机构：

[1] Tobb Econ & Technol Univ, Dept Math, TR-06560 Ankara, Turkey

[2] Selcuk Univ, Fac Sci, Dept Math, TR-42075 Konya, Turkey

来源：

ARS COMBINATORIA | 2014年 / 115卷

关键词：

Catalan triangle; sums identites; partial binomial sum; recursions;

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 consider a generalized Catalan triangle defined by k(m)/n(2n n - k) for positive integer m. Then we compute the weighted half binomial sums with the certain powers of generalized Fibonacci and Lucas numbers of the form Sigma(n)(k=0) (2n n + k) k(m)/nX(tk)(r), where X-n either generalized Fibonacci or Lucas numbers, t and r are integers for 1 <= m <= 6. After we describe a general methodology to show how to compute the sums for further values of m.

引用

页码：391 / 400

页数：10