The structure and energy of A-tetrads with N6-H6...N3 H-bonds was studied using B3LYP and BH&H density functional theory. The planar A-tetrad with C(4h) symmetry is more stable than the nonplanar structures at C4 and S4 symmetry. This structure corresponds to a local energy minimum. The energies of the structures with N6-H6...N1 and N6-H6...N7 H-bonds studied previously are of similar magnitude. Structures of A-tetrad complexes with sodium and potassium were most stable at S4 symmetry, and similarly, sandwich complexes consisting of two tetrads and a single cation were most stable at S8 symmetry. Relative energies of sandwich complexes with different symmetries obtained with the B3LYP and BH&H methods were quite different. BH&H overestimates the interaction energies between hydrogen-bonded neighbor bases relative to B3LYP.