Reference to fast for 60 days for each invalidated fasting day

The rule that i've heard is that if a person invalidates the obligatory fasting in Ramadhan (deliberately) because of a certain cause (eating on purpose, zina, drinking alcohol, smoking, etc ) he would have to repent by fasting again afterwards 1 day for each day that he invalidated in Ramadhan or feed 1 poor person for each day which he invalidated. But I don't remmember the source. I just want to make sure, is there any islamic sources (Quran or Hadiths) or islamic schools (scholars or agreements) that instead says that, in order to repent, the person would have to fast for 60 days afterwards per each 1 day of fasting that he invalidated (on purpose) or feed 60 poor persons for each 1 day that he invalidated at Ramadhan ?