Three pi squared expressions

The rational number series which are essentially n(n+1) in the denominator is important. Then there is another function and that is (2n-1)(2n+1) in the denominator.

I decided to mix these two things up. Instead of (2n-1)(2n+1) in the denominator, I used (n-1)(n+1) in the denominator.

I got one expression with above. Then I re-arranged and got two more. So totally three expressions I tried. Using Wolfram Alpha.

The expressions are given below.