# 9 + 16 = 25 is one of them

$n^2+(n+1)^2+\cdots +(n+k)^2=(n+k+1)^2+\cdots +(n+2k)^2$

How many integers $$n$$ with $$1\leq n \leq 2016$$ are there such that the equation above is fulfilled for some positive integer $$k$$?

For example, with $$n=3,k=1$$ we have the familiar Pythagorean triple $$3^2+4^2=5^2$$.

Precursor

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