Sum the series $$\frac{1^2}{2^2}+\frac{1^2\cdot3^2}{2^2\cdot4^2}+\frac{1^2\cdot3^2\cdot5^2}{2^2\cdot4^2\cdot6^2}+\ldots$$
Someone please help me in finding sum of this infinite series. I have never found the sum of this kind of series.
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