I'm trying to create a calculator in Desmos that can solve the Double Dixie Cup Problem variant of the Coupon Collector's Problem.

I think I've got it, but I ran into a part that kind of stumped me (see pic).

When it says a summation over k<m, is that equivalent to a summation from k=0 to k=m, or from k=1 to k=m? And yes I know this is a stupid question, that's why I'm asking it here.