In any case my issue is this:

From the following program fragment given below:

sum <- 0 for i <- 0 to n-1 do for j <- 0 to (i^2)-1 do for k <- 0 to j-1 do sum <- sum + 1 end-for end-for write sum

derive function sum(n) in a closed form such that:

1. Values of sum(n) for any given n are exactly the same as the values of variable sum in the program above

2. the result obtained for functiion sum(n) must be factored in terms of factors each in the form of (n-a), where a is a real constant

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So yeah, any help with this would be very appreciated.