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Default Dynamic Range

I am trying to use this formula as the number of rows increases. I use in
the "refer to":

OFFSET($A$1,0,0,COUNT($A:$A),1)

I think this works fine. However, when I try to count them like this:

=COUNT(name) it only works when there are no blank values. How do I get
around this for numbers and when appicable text situations.

Thanks
 
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