The equation of state and radiative opacities of partially ionized , strongly magnetized hydrogen plasmas , presented in a previous paper [ ApJ 585 , 955 ( 2003 ) ] for the magnetic field strengths 8 \times 10 ^ { 11 } G \lesssim B \lesssim 3 \times 10 ^ { 13 } 
G , are extended to the field strengths 3 \times 10 ^ { 13 } G \lesssim B \leq 10 ^ { 15 } G , relevant for magnetars .
The first- and second-order thermodynamic functions and radiative opacities are calculated and tabulated for 5 \times 10 ^ { 5 } K \leq T \leq 4 \times 10 ^ { 7 } K in a wide range of densities .
We show that bound-free transitions give an important contribution to the opacities in the considered range of B in the outer neutron-star atmosphere layers .
Unlike the case of weaker fields , bound-bound transitions are unimportant .