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Sep 27, 2015 at 5:01 comment added Alexey Ustinov This number is known because it is a number of sublattices in $\mathbb{Z}^2$ of index $A$. I think that I can answer my question but I'm not sure that this problem is new.
Sep 26, 2015 at 14:08 history answered Fedor Petrov CC BY-SA 3.0