I meant the 1/e neat solution (where the summation is replaced by an integral) assumes the large number. Otherwise, the sum can be evaluated directly, but no cl

I meant the 1/e neat solution (where the summation is replaced by an integral) assumes the large number. Otherwise, the sum can be evaluated directly, but no closed form solution exists. I don't get your second statement, though, what do you mean by the "odds"? The 1/e solution is asymptotic.