Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11851/1711
Title: | New Sums Identities in Weighted Catalan Triangle With the Powers of Generalized Fibonacci and Lucas Numbers |
Authors: | Kılıç, Emrah Yalçıner, Aynur |
Keywords: | Catalan triangle sums identites partial binomial sum recursions |
Publisher: | Charles Babbage Research Centre |
Source: | Kiliç, E., & Yalçiner, A. (2014). New Sums Identities In Weighted Catalan Triangle With The Powers Of Generalized Fibonacci And Lucas Numbers. Ars Comb., 115, 391-400. |
Abstract: | 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. |
URI: | https://hdl.handle.net/20.500.11851/1711 |
ISSN: | 0381-7032 |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
File | Description | Size | Format | |
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CatalanTriangle.pdf | 133.37 kB | Adobe PDF | ![]() View/Open |
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