I have the following formula in cell AR12:

{=SUM(INDIRECT("ar"&LARGE((AR14:AR10000<"")*ROW(1 4:10000),14)&":ar10000"))}

It works exactly as I would like, except for one thing. When I insert
a new column I have to manually change the "ar" and the ":ar10000"
parts of the formula to "as" and ":as10000" to reflect the new column.

Is there a way to have this change automatically when I add a new
column so that I don't have to do it manually?

Thanks