Please use this identifier to cite or link to this item: http://ir.buu.ac.th/dspace/handle/1513/375
 Title: NEO BALANCING NUMBERS- Authors: Natdanai Chailangkaณัฐดนัย ไชยลังกาAPISIT PAKAPONGPUNอภิสิทธิ์ ภคพงศ์พันธุ์Burapha University. Faculty of Science Keywords: NEO BALANCING NUMBERSBALANCING NUMBERSFIBONACCI NUMBERSDIOPHANTINE 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

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