This is the combination for the door as part of the "World Eater's-Eerie" Quest which is part of the main storyline. The diamond claw is found on the corpse of a Draugr that appears to be guarding the door, as shown to the right of the door in the video.

This video does not contain any spoilers, other than the fact that the answer to a puzzle is given to you. Please note that this is not the same door that the golden claw unlocks. If you are wondering where to find the code ingame, it is on the palm of the claw, which you can see in the inventory screen.

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