Please use this identifier to cite or link to this item: http://ir.buu.ac.th/dspace/handle/1513/375
Title: NEO BALANCING NUMBERS
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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.
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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

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