  Pentagon Operator Product Expansion provides a non-perturbative framework for
analysis of scattering amplitudes in planar maximally supersymmetric gauge
theory building up on their duality to null polygonal super Wilson loop and
integrability. In this paper, we construct a systematic expansion for the main
ingredients of the formalism, i.e., pentagons, at large 't Hooft coupling as a
power series in its inverse value. The calculations are tested against
relations provided by the so-called Descent Equation which mixes transitions at
different perturbative orders. We use leading order results to have a first
glimpse into the structure of scattering amplitude at NMHV level at strong
coupling.
