Poor Lucky! I'm glad to hear that he still seems to be acting and eating normally despite this ongoing diarrhea. Some possible causes of persistent diarrhea include parasites, inflammatory bowel disease, gastrointestinal cancers, liver disease, food allergies, among others. You can try transitioning his diet to a novel protein diet (
http://www.drsfostersmith.com/product/prod_display.cfm?pcatid=34182 ) with one protein source and one carbohydrate source to limit the ingredients that he is exposed to. Mix his old and new foods together over 5-7 days, then exclusively feed a new diet for at least 8-12 weeks to determine if the change has been effective. Also adding a probiotic (
http://www.drsfostersmith.com/product/prod_display.cfm?pcatid=21478 ) may be beneficial. However, if his diarrhea continues or worsens, Lucky will need to go to his vet for further evaluation and testing. I hope that all goes well!