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See attached. (PS: Thanks for stating what version you are on!)
I created a calc to do a window_sum that essentially counts "True". See "Edit Table Calc" to see how I set the settings for it to cycle through the whole table and restart every [Machine].
Note that I also put WEEK(Date) on the detail shelf.
You will also see a calc on the filter shelf. Actually every mark in the table gets the table calc value. (Take the filter off and you'll see what I mean.) The filter says just to display the first one for each machine.
Thank you. The real key here was that I didn't know how to do a window function across both the machine and time dimensions at once. Very helpful.