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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
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.