1 moves:
1: 9,
2 moves:
1: 90,
3 moves:
1: 774, 2: 78
4 moves:
1: 5640, 2: 1119, 3: 260, 4: 111, 5: 18, 6: 18, 8: 3
5 moves:
1: 25014, 2: 10197, 3: 4250, 4: 2157, 5: 1152, 6: 638, 7: 342, 8: 201, 9: 116, 10: 48, 11: 24, 12: 25, 16: 12, 21: 6
6 moves:
1: 37026, 2: 25596, 3: 17106, 4: 12735, 5: 9456, 6: 6919, 7: 5232, 8: 3909, 9: 2974, 10: 2271, 11: 1842, 12: 1392, 13: 1044, 14: 861, 15: 542, 16: 504, 17: 414, 18: 392, 19: 312, 20: 258, 21: 170, 22: 144, 23: 120, 24: 81, 25: 54, 26: 45, 27: 72, 28: 45, 29: 12, 30: 18, 31: 18, 32: 18, 33: 6, 34: 18, 35: 12, 36: 3, 37: 12, 44: 3
7 moves:
1: 1002, 2: 1707, 3: 2054, 4: 2508, 5: 2538, 6: 2984, 7: 3150, 8: 3060, 9: 3164, 10: 3105, 11: 2982, 12: 2889, 13: 2874, 14: 2661, 15: 2490, 16: 2445, 17: 2178, 18: 2105, 19: 1860, 20: 1908, 21: 1572, 22: 1638, 23: 1422, 24: 1281, 25: 1224, 26: 1083, 27: 1094, 28: 810, 29: 780, 30: 750, 31: 600, 32: 804, 33: 482, 34: 468, 35: 468, 36: 438, 37: 318, 38: 291, 39: 412, 40: 294, 41: 324, 42: 324, 43: 228, 44: 237, 45: 146, 46: 192, 47: 186, 48: 174, 49: 66, 50: 108, 51: 156, 52: 66, 53: 60, 54: 87, 55: 72, 56: 60, 57: 48, 58: 60, 59: 36, 60: 30, 61: 24, 62: 42, 63: 24, 64: 24, 65: 54, 66: 18, 67: 18, 68: 36, 69: 12, 70: 18, 71: 12, 72: 12, 73: 6, 75: 6, 76: 6, 77: 12, 78: 6, 79: 6, 80: 12, 90: 6, 91: 6, 95: 6, 98: 3, 99: 6, 100: 9, 106: 3
8 moves:
16: 3, 20: 3, 22: 6, 34: 3, 40: 3, 45: 6, 49: 6, 51: 12, 53: 12, 57: 6, 58: 3, 59: 12, 60: 15, 62: 6, 63: 24, 64: 12, 66: 12, 67: 12, 68: 6, 69: 6, 70: 3, 71: 6, 73: 12, 74: 12, 75: 12, 76: 6, 77: 6, 78: 6, 79: 12, 80: 18, 82: 12, 84: 3, 85: 6, 86: 6, 87: 6, 90: 6, 91: 6, 92: 6, 94: 6, 95: 18, 96: 6, 98: 6, 100: 12, 101: 6, 105: 2, 107: 6, 109: 6, 110: 6, 113: 6, 114: 6, 116: 6, 118: 18, 120: 6, 121: 6, 125: 6, 126: 6, 127: 6, 130: 6, 131: 6, 132: 6, 133: 12, 139: 12, 143: 6, 148: 15, 150: 6, 151: 6, 152: 9, 153: 2, 157: 6, 159: 6, 172: 3, 262: 6, 285: 2