Robin Thicke and Paula Patton -- House Up for Sale ... Can You Say, Final Nail?

If Robin Thicke's begging ever works, and he actually gets back together with Paula Patton -- they'll be living somewhere new -- their Bel Air home is officially on the market.

TMZ has confirmed the 3,158 square foot home was listed Monday with an asking price of $2,985,000.

It was originally purchased by Robin's dad, Alan Thicke back in 1990 for a paltry $910,000 -- though we're told Robin's name is now on the deed.

We're told neither Paula or Robin has officially moved out of the 2-story crib -- with awesome views over Sunset Blvd -- though we know they haven't slept under the same roof since separating in February.

The pad includes a recording studio where Robin may have worked on songs like "Blurred Lines," "Lost Without You," and "Get Her Back" -- which he obviously hasn't.