Collectible coins encompass various categories, including historical, commemorative, and error coins. The P50c refers to a specific denomination, likely indicating a fifty-cent piece, which has been produced in various designs throughout U.S. history. Patterns are specially struck coins created to test designs or compositions before official production; they are often rare and highly sought after by collectors. The year 1813 saw several notable U.S. coinage events, with various coins minted during that period becoming collectible due to their historical significance and limited mintage.