Yes, the A number is the Alien registration number on your green card. Since you children are US citizens (by birth I presume) you would leave the A number field blank next to their name on the application.
I am not sure whether you should leave it blank or write Not Applicable. USCIS usually doesn't like people to leave things blank, so people cannot claim later on that they didn't read the question or forgot to fill that question. Perhaps the instructions suggest what to write in the case someone doesn't have a A# because of being U.S. citizen by birth.
The application states: USCIS ''A''- number
(if child has one) So you'd think USCIS would understand that to mean that if you keep it blank, then child does not have one, although nothing surprises me about USCIS these days. The IO would confirm it during interview if kept blank.
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