Question: Double Summations

Question:Double Summations

phbmc 10 Maple

I have a function that is a double summation and I cannot get maple to compute it. (I'm new to maple)

The function is as follows:

F(x) := sum from a=1 to x of [sum from b=0 to a-1 of [cos(2 pi x b / a)]]

for integer x, F should produce integers, but I am only getting 0's

naturally F is undefined for non integers. but maple is producing non 0 numbers for non integer entries. So, i have no idea what it is calculating.

Thanks in advance for any help. BC

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