  We study theories of 4D, N=1 supersymmetric massless, arbitrary integer
superspins. A new state-of-the art is being established by the discovery of a
new series of such theories for arbitrary superspin Y (Y=s for any integer s)
The lowest member of the series is surprisingly found to be a previously
established formulation of the spin (3/2, 1) supermultiplet.
