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n-color 1-2 Compositiions of positive Integer
GUO Yuhong * #
School of Mathematics and Statistics, Hexi University
*Correspondence author
#Submitted by
Subject:
Funding: Supported by the Foundation of Education Department of Gansu province(No.NO.1210-04)
Opened online:24 March 2014
Accepted by: none
Citation: GUO Yuhong.n-color 1-2 Compositiions of positive Integer[OL]. [24 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4590099
 
 
An n-color 1-2 composition is defined as an n-color composition have only part of size 1 or 2 of positive integer. An n-color 1-2 palindromic composition is an n-color 1-2 composition in which the parts are ordered such that they are read the same forward and backwards. In this paper, we get generating function, explicit formulas and recurrence relations for n-color 1-2 compositions and n-color 1-2 palindromic compositions. In addition, we give a relation between the number of n-color 1-2 compositions and the number of n-color 1-2 palindromic compositions.
Keywords:compositions of positive integer; n-color 1-2 composition; n-color 1-2 palindromic composition; generating function; explicit formulas; recurrence relations
 
 
 

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