Template:Math/EQ EllipticIntegral01

	$\frac{2K(k)}{\pi }$	$=$	$1+(\frac{1}{2}{)}^2{k}^2+(\frac{1\cdot 3}{2\cdot 4}{)}^2{k}^4+(\frac{1\cdot 3\cdot 5}{2^4\cdot 3}{)}^2{k}^6+(\frac{1\cdot 3\cdot 5\cdot 7}{2^7\cdot 3}{)}^2{k}^8+\cdots +[\frac{(2n-1)!!}{2^{n}n!}{]}^2{k}^{2n}+\cdots$
Gradshteyn & Ryzhik (1965), §8.113.1