A054155 Inverse Moebius transform of A000029 (starting at term 0).
1, 3, 4, 7, 7, 14, 14, 25, 34, 55, 79, 144, 225, 396, 697, 1249, 2251, 4156, 7686, 14369, 27029, 51045, 96910, 184572, 352705, 675415, 1296892, 2494126, 4806079, 9273533, 17920861, 34670851, 67159132, 130218377, 252745388, 490988774
Offset: 0