Intensive computations have been carried out on eukaryotic and prokaryotic DNA sequences present in the GenBank database. These calculations were aimed at studying particular sequence patterns. Previously we have observed a trend in the relative positioning of DNA oligomers with respect to each other. Specifically, we have shown that there is a preference for A/T stretches to be inserted inside G/C blocks, partitioning the latter. This arrangement is preferred over having a longer G/C block with an A/T stretch next to it. That is (G/C)n(A/T)m(G/C)2 greater than (G/C)n + 2(A/T)m. Previously we have attributed this preferred pattern to nucleosome packaging of the DNA. Since the average length of the DNA involved in a single nucleosome formation is 200 bp, oligomers were scored in the analysis only if two identical ones occurred within that distance. Since, in addition, the total length of the oligomers studied is n + m + 2 less than or equal to 7, the counts of the longer oligomers were quite low. Here we have repeated the analysis on the newer, larger database, with that restriction removed. Our new analysis confirms and strengthens the older findings. Moreover, we have carried out DNA structural analysis of these trends, focusing on the twist and roll angular parameters. We have obtained these values from detailed structural computations on the Cray super computer. Some correlations between these values, DNA flexibility and the sequence trends are observed. We suggest that the positioning of the (A/T)m sequence stretch between the two (G/C) blocks affords greater flexibility in the spatial positioning of the G/C sequence elements.