The paper examines thedynamical behavior of a radical cation(G+*) generated in adouble stranded DNA for differentoligonucleotide sequences. The resonancehole tunneling through an oligonucleotidesequence is studied by the method ofnumerical integration of self-consistentquantum-mechanical equations. The holemotion is considered quantum mechanicallyand nucleotide base oscillations aretreated classically. The results obtaineddemonstrate a strong dependence of chargetransfer on the type of nucleotidesequence. The rates of the hole transferare calculated for different nucleotidesequences and compared with experimentaldata on the transfer from (G+*)to a GGG unit.