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EXAMPLE
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The sequence together with the corresponding compositions begins:
0: () 88: (2,1,4) 177: (2,1,4,1)
2: (2) 98: (1,4,2) 184: (2,1,1,4)
4: (3) 104: (1,2,4) 197: (1,4,2,1)
8: (4) 128: (8) 198: (1,4,1,2)
10: (2,2) 130: (6,2) 209: (1,2,4,1)
16: (5) 136: (4,4) 216: (1,2,1,4)
32: (6) 138: (4,2,2) 226: (1,1,4,2)
34: (4,2) 139: (4,2,1,1) 232: (1,1,2,4)
36: (3,3) 141: (4,1,2,1) 256: (9)
40: (2,4) 142: (4,1,1,2) 260: (6,3)
42: (2,2,2) 160: (2,6) 261: (6,2,1)
64: (7) 162: (2,4,2) 262: (6,1,2)
69: (4,2,1) 163: (2,4,1,1) 274: (4,3,2)
70: (4,1,2) 168: (2,2,4) 276: (4,2,3)
81: (2,4,1) 170: (2,2,2,2) 277: (4,2,2,1)
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