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Title: | NEO BALANCING NUMBERS - |
Authors: | Natdanai Chailangka ณัฐดนัย ไชยลังกา APISIT PAKAPONGPUN อภิสิทธิ์ ภคพงศ์พันธุ์ Burapha University. Faculty of Science |
Keywords: | NEO BALANCING NUMBERS BALANCING NUMBERS FIBONACCI NUMBERS DIOPHANTINE EQUATION |
Issue Date: | 4 |
Publisher: | Burapha University |
Abstract: | If a positive integer $n \geq 2$ is a solution of the equation
\begin{equation*}
1+2+3+ \cdots +(n-1)=(n-1)+(n-0)+(n+1) +(n+2) +\cdots+ (n +r)
\end{equation*}
for some integer $r$, $n$ is called a neo balancing number and $r$ is called a neo balancer corresponding to neo balancing number $n$. The purpose of this paper is to establish a generating function of neo balancing numbers, recurrence relations for neo balancing numbers and an application of neo balancing numbers to a Diophantine equation. Moreover, we prove the relations between neo balancing numbers and balancing numbers. - |
Description: | Master Degree of Science (M.Sc.) วิทยาศาสตรมหาบัณฑิต (วท.ม.) |
URI: | http://ir.buu.ac.th/dspace/handle/1513/375 |
Appears in Collections: | Faculty of Science |
Files in This Item:
File | Description | Size | Format | |
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62910233.pdf | 1.16 MB | Adobe PDF | View/Open |
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