A153181 Number of overpartitions of n with even rank minus the number of overpartitions of n with odd rank.

1, 2, -4, 8, -10, 8, -8, 16, -20, 10, -8, 24, -24, 8, -16, 32, -26, 16, -12, 24, -40, 16, -8, 48, -40, 10, -24, 32, -32, 24, -16, 48, -52, 16, -16, 48, -50, 8, -24, 64, -40, 32, -16, 24, -72, 24, -16, 80, -56, 18, -28