Euler6.fs

//Sum square difference
//Problem 6
//The sum of the squares of the first ten natural numbers is,
//12 + 22 + ... + 102 = 385
//The square of the sum of the first ten natural numbers is,
//(1 + 2 + ... + 10)2 = 552 = 3025
//Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640.
//Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

let maxBoundary = 100
let sumOfSquare = Seq.init maxBoundary (fun x-> (x+1)*(x+1)) |> Seq.sum
let squareOfSum = Seq.init maxBoundary (fun x -> x+1) |> Seq.sum |> function|x -> x*x
let difference = squareOfSum - sumOfSquare

//time taken: .031ms