We present the main results about the general cubic decomposition (CD) of polynomial sequences. We deal particularly with the diagonal CD and the CD of orthogonal sequences. This allows us to generalize a result of Barrucand and Dickinson about the CD of a symmetric orthogonal sequence.

We deal with a symbolic approach to the cubic decomposition (CD) of polynomial sequences - presented in a previous article referenced herein - which allows us to compute explicitly the first elements of the nine component sequences of a CD. Properties are investigated and several experimental results are discussed, related to the CD of some widely known orthogonal sequences. Results concerning the symmetric character of the component sequences are established.