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"Frosty the Snowman is a popular Christmas song written by Walter "Jack" Rollins and Steve Nelson, and first recorded by Gene Autry and the Cass County Boys in 1950 and later recorded by Jimmy Durante. It was written after the success of Autry's recording of "Rudolph the Red-Nosed Reindeer" the previous year; Rollins and Nelson shipped the new song to Autry, who recorded "Frosty" in search of another seasonal hit. Like "Rudolph", "Frosty" was subsequently adapted to other media including a popular television special.
Source: wikipedia