The sum of the series $2 .{ }^{20} \mathrm{C}_0+5 .{ }^{20} \mathrm{C}_1+8 .{ }^{20} \mathrm{C}_2+ 11 .{ }^{20} \mathrm{C}_3+\ldots+62 .{ }^{20} \mathrm{C}_{20}$ is equal to
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