a(n) = 2*Abs[(1/2)*(-1+(-2)^n)-(2/3)*(2+(-2)^n)*UnitStep[ -1+n]]. 3, 5, 1, 9, 7, 25, 39, 89, 167, 345, 679, 1369, 2727, 5465, 10919, 21849, 43687
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