functions handle for a summation over n elements

Hello!
I'm new to function handles and I find it difficult to solve the following problem. I would like to define a function
f=@(X) (X(1)-X(2))^2 + (X(2)-X(3))^2 + ... + (X(n-1)+X(n))^2
where X is a n-dimensional vector.
As n may be large, I will end up with a problem: Obviously I don't want to type n addents! Is there an easy way to overcome this problem?
Thanks!
Regards Fred

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