On some infinite families of congruences for [j, k]-partitions into even parts distinct

In this paper, we define the partition function ped(j,k)(n), the number of [j, k]-partitions of n into even parts distinct, where none of the parts are congruent to j (mod k) (where k > j >= 1). We obtain many infinite families of congruences modulo powers of 2 for ped(3,6)(n) and congruences modulo powers of 2 and 3 for ped(9,18)(n). For example, for all n >= 0 and alpha, beta >= 0, ped(9),(18) (2 . 3(4 alpha+4) . 7(2 beta+1) (7n + s) + 11 . 3(4 alpha+3) . 7(2 beta+1) + 1/4) equivalent to 0 (mod 16), where s = 0, 2, 3, 4, 5, 6.