Maintaining Cell Reference According To Its Physical Position From Formula Cell?

I need to make a cell display the contents of the cell immediately below it, regardless of if there are rows inserted at the referenced row or above or below it on the worksheet. ALSO I need to do this at several additional cell locations down the worksheet. Such as : A1 displays A2, A4 displays A5, A7 displays A8 etc.

Example: I want A1 to display whatever is in the cell immediately below it. In this case A2. I need to be able to insert several rows at row 2 and have whatever new value is now in the A2 position displayed in A1.
After the rows are inserted I need the cell that was in position A4 to continue to display the contents of the cell below it.

I tried using the formula in A1 of: =INDIRECT("A2") and it works good except when I insert the rows my similar formulas below the area where the rows were inserted continue to refer to the specific original cell and not the one positioned now below it.