Two (dual) superfield formulations are proposed for free massless N =
1, D = 4 supermultiplets (s, s + 1/2), where s = 1, 2, ... . For s = 1
one of these versions is identical to the nonminimal formulation for
the supermultiplet (1, 3/2) [E. S. Fradkin and M. Vasiliev, Nuovo Cim.
Lett. 25, 79 (1979); B. de Witt and J. W. van Holten, Nucl. Phys. B 1
55, 530 (1979); S. J. Gates and W. Siegel, Nucl. Phys. B 164, 484 (198
0)].