algebra precalculus - Which values of n allow for n-tuples of consecutive natural numbers that sum to a square?

So if we take examples, we can see that any odd number $(2n+1)^2= (n+1)+(n+2)+\ldots+(3n+1)$. This is backwards though, because I'm trying to find out which (if not all) lengths of consecutive integers (e.g pairs, triplets etc) can have a square sum. Any ideas?