It is assumed in all classical studies of panel flutter that the unsteady pressure of a gas flow can be calculated according to the piston theory. But the piston theory holds only for large Mach numbers and does not cover the region 1 < M < 2. It was recently shown that, in this range of Mach numbers, there is a region of panel flutter, referred to as single-mode flutter, which differs from the "classical" (coupled) flutter. In the present paper, single-mode flutter is studied numerically for a strip-shaped periodically supported plate. The boundaries of stability are constructed, and the influence of the strip width and the distance between the supports is analyzed.