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YBa2Cu4O8/La2/3Ca1/3MnO3/YBa2Cu4O8 (Y-124/LCMO/Y-124) heterostructure was prepared by facing-target sputtering technique. The oscillatory superconducting transition temperature was observed when the thickness of LCMO dL is larger than critical thickness dLCR. The metal-insulator transition temperature can only be detected at dL＞dLCR. The dependence on the spacer layer in LCMO/Y-124 systems suggests strongly the interplay of ferromagnetic and superconducting couplings.