  We use AdS/CFT inspired methods to study the Racah coefficients for type I
representations of the Lorentz group SO_0(1,d+1) with d>1. For such
representations (a multiple of) the Racah coefficient can be represented as an
integral of a product of 6 bulk-to-bulk propagators over 4 copies of the
hyperbolic space H_{d+1}. To compute the integrals we represent the
bulk-to-bulk propagators in terms of bulk-to-boundary ones. The bulk integrals
can be computed explicitly, and the boundary integrations are carried out by
introducing Feynman parameters. The final result is an integral representation
of the Racah coefficient given by 4 Barnes-Mellin type integrals.
