If the prophecy's correct, then the child should have to pay
For the sins of a father, so I barter my tomorrows against my yesterdays
In hopes that she'll be okay

from Jay Z (Ft. Chris Martin) – Beach Chair Lyrics on Rap Genius

Meaning

Jay-Z attains today for his past sins for the sake of his children.

“Sins of the father” is a popular phrase taken from a few places in the Bible. In addition to the passage below, similar things are said in Exodus 34:6-7, and Deuteronomy 5:9

Exodus 20:5

Thou shalt not bow down thyself to them, nor serve them [idol gods]: for I the Lord thy God am a jealous God, visiting the iniquity of the fathers upon the children unto the third and fourth generation of them that hate me

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