New generalization of cubic partition of n

Let c^*_{(1,r,a)}(n) be the generalization of the cubic partition function c(n). In this paper, we prove some new congruences modulo odd prime p by taking r=3,4,5,7,11 and 13 using q-series identities. We study congruence properties of generalization of cubic partition function for different values of a and give some particular cases as examples.