n-color 1-2 compositions of positive integers

An n-color 1-2 composition is defined as an n-color composition with only parts 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. Here the generating function, explicit formulas and recurrence relations for n-color 1-2 compositions and n-color 1-2 palindromic compositions were obtained. In addition, a relation between the number of n-color 1-2 compositions of ν and the number of n-color 1-2 palindromic compositions of ν was given.