  We discuss orbifold version of the Schur index defined as the supersymmetric
partition function in S^3/Z_n x S^1. We first give a general formula for
Lagrangian theories obtained by localization technique, and then suggest a
generalization of the Cordova and Shao's IR formula. We confirm the generalized
IR formula gives the correct answer for systems with free hypermultiplets if we
tune the background fields so that they are invariant under the orbifold
action. Unfortunately, we find disagreement for theories with dynamical vector
multiplets.
