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February 29th, 2016, 12:54 PM   #1
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A new formula for pi?

I was playing about with some maths, and I managed to find an infinite sum for $\pi$:

$$\sum_{N=0}^{\infty} \frac{(2N)!}{(N!)^2 (1-2N)(1+2N) 4^{N-1}}$$

The thing is, I can't find it anywhere online. It is definitely correct, so might it be new? Does anyone know of it? I'm happy to show my proof if anyone wants to see it.
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February 29th, 2016, 02:17 PM   #2
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February 29th, 2016, 03:00 PM   #3
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Sorry, my bad.
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