We introduce a kind of (p,q,t)-Catalan numbers of Type A by generalizing the J-type continued fraction formula, we prove that the corresponding expansions could be expressed by the polynomials counting permutations on Sn(321) by various descent statistics. Moreover, we introduce a kind of (p,q,t)-Catalan numbers of Type B by generalizing the J-type continued fraction formula, we prove that the Taylor coefficients and their γ-coefficients could be expressed by the polynomials counting permutations on Sn(3124,4123,3142,4132) by various descent statistics. Our methods include permutation enumeration techniques involving variations of bijections from permutation patterns to labeled Motzkin paths and modified Foata-Strehl action.