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Wiktionary
come on down

interj. 1 An invitation to someone in the upstairs part of a building to come downstairs. 2 An invitation to someone living to the north to come for a visit. 3 A catchphrase used on the television game show "The Price is Right," inviting a member of the audience to come to Contestant's Row to play the game.

Wikipedia
Come on Down

Come on Down is the debut EP by the American rock band Green River. It was released in May 1985 through Homestead Records. It is widely considered to be the first grunge record.

Come on Down (disambiguation)

Come on Down is the debut album by the American rock band Green River.

Come on Down may also refer to:

Come on Down (Crystal Waters song)

"Come on Down" is a 2001 single recorded by Crystal Waters, produced by Orlando Ortiz and co-written with Waters and Robert A. Israel. The track, her first release for Strictly Rhythm Records, samples the theme song to the American game show The Price Is Right, whose music was written and produced by Israel for his in-house company Score Productions. The show's parent company Pearson Television (now part of FremantleMedia) gave its blessing to let Waters use the theme song, and as such received publishing rights and credits on the song. The single also marked the first time that lyrics were added to the The Price Is Right theme song and the first song based on a television theme song (and the first to come from a game show) to reach number 1 on the Billboard Hot Dance Club Play Chart the week of December 29, 2001.

Usage examples of "come on down".

Whether or not that cable car had come on down the mountain, by now Blofeld would have had time to get one down full of SPECTRE men.

But he never argued when she shyly suggested he let her go on ahead and then come on down that alley alone after it got a mite darker.