Use of a recurrence formula in computing the lattice Green function

It is shown that the lattice Green function at an arbitrary lattice site of the FCC lattice can be calculated from the three values at the lattice sites (0,0,0), (2,0,0) and (2,2,0) with the aid of the recurrence formula presented by Inoue (1974). The argument is extended to the BCC and SC lattices. For these lattices also, only three values are required in the corresponding calculation.