Question:
Since higadita le bincha is one of the central mitzvahs of the sedar, how could they ignore their children?
Answer:
Hello,
It is very possible that their children were already married and no longer living with them, as these were veteran Rabbonim (R' Akiva lived 120 years). It is also possible that their children were indeed there, because the story is only referring to what took place in the wee hours of the night.
Best wishes
