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EXAMPLE
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The sequence together with the corresponding compositions begins:
0: () 33: (5,1) 70: (4,1,2)
1: (1) 34: (4,2) 72: (3,4)
2: (2) 37: (3,2,1) 76: (3,1,3)
4: (3) 38: (3,1,2) 77: (3,1,2,1)
5: (2,1) 40: (2,4) 80: (2,5)
6: (1,2) 41: (2,3,1) 81: (2,4,1)
8: (4) 44: (2,1,3) 82: (2,3,2)
9: (3,1) 45: (2,1,2,1) 88: (2,1,4)
12: (1,3) 48: (1,5) 89: (2,1,3,1)
13: (1,2,1) 49: (1,4,1) 96: (1,6)
16: (5) 50: (1,3,2) 97: (1,5,1)
17: (4,1) 52: (1,2,3) 98: (1,4,2)
18: (3,2) 54: (1,2,1,2) 101: (1,3,2,1)
20: (2,3) 64: (7) 102: (1,3,1,2)
22: (2,1,2) 65: (6,1) 104: (1,2,4)
24: (1,4) 66: (5,2) 105: (1,2,3,1)
25: (1,3,1) 68: (4,3) 108: (1,2,1,3)
32: (6) 69: (4,2,1) 109: (1,2,1,2,1)
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