The Quran

وَالَّذينَ آمَنوا وَاتَّبَعَتهُم ذُرِّيَّتُهُم بِإيمانٍ أَلحَقنا بِهِم ذُرِّيَّتَهُم وَما أَلَتناهُم مِن عَمَلِهِم مِن شَيءٍ ۚ كُلُّ امرِئٍ بِما كَسَبَ رَهينٌ

Muhammad Asad

And as for those who have attained to faith and whose offspring will have followed them in faith, We shall unite them with their offspring; and We shall not let aught of their deeds go to waste:¹ [but] every human being will be held in pledge for whatever he has earned.²

Implying that the righteousness of their children increases the merit of the parents.
I.e., the righteousness of the parents cannot absolve their offspring from individual responsibility.