Ab initio calculations were performed for the H-3(+)(H-2)(n) clusters (n=8-12), including complete optimization of several isomers of the n=10 cluster. Binding energies, enthalpies, and ionization potentials are calculated. Well defined patterns of chromism are predicted for the H-2 collective vibrations and for the H-3(+) breathing vibrations. The calculations for the n > 10 clusters allow us to understand their shell structure in terms of concentric spheres of H-2 molecules. The first and second shells have occupation numbers equal to 3 and 6, respectively, while for the third shell, this number is within the range 12-15.