## Norm of modified bessel function

How to compute norm of the modified bessel function of imaginery order. I mean the following integral:
$$\int_0^\infty \frac{1}{z} K_{in}^2(z)dz$$
I found it in Fulling article in Phys.Rev.D.7.2850 (but I can't prove it) that this integral equals:
$$\frac{\pi^2}{2n \textrm{sinh}(2\pi n)}$$

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