A054158 Inverse Moebius transform of A001371 (starting at term 0).

1, 3, 2, 5, 4, 10, 9, 21, 26, 48, 70, 136, 209, 389, 673, 1235, 2221, 4144, 7631, 14358, 26941, 51016, 96783, 184560, 352454, 675391, 1296503, 2494071, 4805389, 9273501, 17919559, 34670835, 67156871, 130218219, 252741267, 490988734