Can you talk about the sins of the father visiting their children?

I presume you are referring to the expression that comes from the second of the Ten Commandments. In Exodus 20:5-6, we have the statement “I, the Lord your God, am a jealous God, punishing the children for the sin of the fathers to the third and fourth generation of those who hate me, but showing love to a thousand generations of those who love me and keep my commandments.” You will find that the phrase “the third and the fourth generation” is a Semitic phrase denoting continuity. It is not to be understood in an arithmetical sense otherwise, after a thousand generations God’s love for us would cease. God is speaking to those who HATE God, who refuse to live their lives in accordance with His will. Since this is God’s world, and since we are all involved with one another, breaches of God’s law by one generation do indeed affect those of future generations to come. Slavery, exploitation, imperialism, pollution, immorality are all examples of this principle. What we call “natural results” are just an expression of God’s law in operation, punishing a disregard for His will.

In several passages we are reminded that each person will be held responsible for his own sin, both father and child. Check out 2 Chronicles 25:4 Ezekiel 18. The 18th chapter of Ezekiel is very specific about the Father and the son thing. The principle that is upheld is this: “The soul who sins is the one who will die” (Ezekiel 18:4). In Ezekiel 18:17 we are told that the son “will not die for his father’s sin” if he walks uprightly before God. The father, on the other hand, “will die for his own sin” (Ezekiel 18:18). The converse of this is true also. If a father is righteous and his son is wicked, the father will not die for his son’s evil (Ezekiel 18:13).

So the conclusion is this: the person who is righteous will surely live (Ezekiel 18:9).
-David Corts