A054154 Moebius transform of A001037 (starting at term 0).

1, 1, 0, 0, 2, 4, 8, 16, 29, 52, 98, 180, 334, 620, 1158, 2164, 4079, 7675, 14531, 27538, 52368, 99758, 190556, 364520, 698867, 1341840, 2580765, 4970378, 9586394, 18511572, 35790266, 69271484, 134215581, 260296905, 505286404