Differences in Squares (with factorials)

The double factorial of a positive integer is defined by:

$$n!! = \begin{cases} 1 \cdot 3 \cdot 5 \cdots (n-2) \cdot n, & \text{if }n \equiv 1 \pmod{2} \\ 2 \cdot 4 \cdot 6 \cdots (n-2) \cdot n, & \text{if }n \equiv 0 \pmod{2} \end{cases}$$

Find the number of ways the value of $$\dfrac{2014!}{2012!!}$$ can be expressed as $$a^2-b^2$$, where $$a$$ and $$b$$ are positive integers and $$a>b$$.

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