I don't know if this has been posted anywhere yet, and since I'm not a member of the group I can't add it myself, so I'll put a link here.
https://download.hebrewbooks.org/downloadhandler.ashx?req=5901
Info on the King David of Israel line begins on page 15 and an 82 generation tree begins on page 18 and ends on 46.
The book, Yashir Moshe, by R' Moshe Dayan (no, not the famous Israeli general with the eye patch) is a commentary on shir hashirim (song of songs). The tree itself is very similar to one found in the Cairo Geniza.