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EXAMPLE
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The sequence together with the corresponding compositions begins:
1: (1) 21: (2,2,1) 39: (3,1,1,1)
3: (1,1) 22: (2,1,2) 41: (2,3,1)
5: (2,1) 23: (2,1,1,1) 43: (2,2,1,1)
6: (1,2) 24: (1,4) 44: (2,1,3)
7: (1,1,1) 25: (1,3,1) 45: (2,1,2,1)
9: (3,1) 26: (1,2,2) 46: (2,1,1,2)
11: (2,1,1) 27: (1,2,1,1) 47: (2,1,1,1,1)
12: (1,3) 28: (1,1,3) 48: (1,5)
13: (1,2,1) 29: (1,1,2,1) 49: (1,4,1)
14: (1,1,2) 30: (1,1,1,2) 50: (1,3,2)
15: (1,1,1,1) 31: (1,1,1,1,1) 51: (1,3,1,1)
17: (4,1) 33: (5,1) 52: (1,2,3)
18: (3,2) 35: (4,1,1) 53: (1,2,2,1)
19: (3,1,1) 37: (3,2,1) 54: (1,2,1,2)
20: (2,3) 38: (3,1,2) 55: (1,2,1,1,1)
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