Luke begins his record in chapter 3 with Jesus and works backwards all the way to “Adam, the son of God”. Luke’s record gives us 77 names beginning with Jesus and ending with the ‘first father’ God himself. The number is of course significant indicating the fullness or completeness of Jesus twice over. Jesus is Son of God and Son of Man. The placement of the genealogy indicates this further. Luke records the lineage of Jesus right after Jesus’ baptism and right before his temptation in the wilderness. God declares of Jesus at his baptism, “You are my beloved Son; in You I am well pleased.” Then, to show how this is true also by physical descent, Luke traces his family back to God through Adam. Finally, it is also important to note that chapter 3 ends with ‘Adam, the son of God’ and chapter 4 begins with the temptation in the wilderness by the devil. Jesus is the new Adam being tempted by the devil.
Also, the movement from Trinity at the baptism backwards through history back to Adam in the garden and finally picking up again with Christ being tempted in the desert is spectacular. Luke puts the Trinity (in Christ) in the garden that has become a desert to be tempted. God does battle with the devil on our behalf and on behalf of all those generations that were between.