  We calculate graviton multi-point amplitudes in an anti-de Sitter black brane
background for higher-derivative gravity of arbitrary order in numbers of
derivatives. The calculations are performed using tensor graviton modes in a
particular regime of comparatively high energies and large scattering angles.
The regime simplifies the calculations but, at the same time, is well suited
for translating these results into the language of the dually related gauge
theory. After considering theories of up to eight derivatives, we generalize to
even higher-derivative theories by constructing a "basis" for the relevant
scattering amplitudes. This construction enables one to find the basic form of
the n-point amplitude for arbitrary n and any number of derivatives.
Additionally, using the four-point amplitudes for six and eight-derivative
gravity, we re-express the scattering properties in terms of the Mandelstam
variables.
