This work studied the relationship of any two nucleotides in genomic sequences, coding sequences and full-length cDNAs. We made a statistical hypothesis that there exist no interactions between any two nucleotides in sequences, therefore, a hypothetical combination distribution of two nucleotides is considered and the difference between the hypothetical combination distribution and the actual distribution is used to measure the average interaction between the two nucleotides. As a result, we found that the interactions between any two nucleotides are clearly and closely related with dampable wavelike patterns along the sequences. Based on the results we daringly make some hypotheses on several biological topics. Further, studies on the wave may provide new clues for gene prediction and genome structure study.