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New Sums Identities In Weighted Catalan Triangle With The Powers Of Generalized Fibonacci And Lucas Numbers

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CatalanTriangle.pdf (133.3Kb)
Date
2014-07
Author
Kılıç, Emrah
Yalciner, Aynur
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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.
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http://hdl.handle.net/20.500.11851/1711
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  • Matematik Bölümü / Department of Mathematics

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