Thank you for your post.
Suppose you have five records with the same name. When you add this up, you only want it to display one. Therefore, for each record, assign the value 1/<number of occurences>. In this case, 1/5. When you add up these five records, the value 1 will be displayed.
Create a Summary field, NAMES, that results in a count of your Client Name field.
Next, create a calculation field, CALC, with the formula:
1 / GetSummary ( NAMES ; <Name field> ]
Finally, create a Summary field, UNDUPLICATE, that is a Total of CALC.
You can now search for a group of records, sort by your name field, and you will have an "unduplicated number"
Please let me know if you need clarification for any of the above steps.