Congruences for generalized Frobenius partitions with 4 colors

We present some congruences involving the functions cϕ4(n)cϕ4(n) and cϕ¯4(n) which denote, respectively, the number of generalized Frobenius partitions of nn with 4 colors and 4-order generalized Frobenius partitions of nn with 4 colors.