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A359263
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Number of compositions of n into three parts, using only natural numbers not in A007283.
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2
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1, 3, 6, 7, 9, 12, 16, 18, 21, 30, 36, 42, 46, 54, 60, 70, 81, 90, 102, 117, 129, 136, 156, 171, 184, 201, 216, 235, 255, 273, 292, 318, 339, 355, 384, 408, 435, 465, 492, 514, 549, 579, 604, 642, 675, 709, 744, 780, 814, 852, 888, 928, 969, 1008, 1048, 1095
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OFFSET
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0,2
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COMMENTS
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Strictly increasing, and hence the complement of A007283 gives a counterexample to a conjecture of Dombi (see Links) saying that a set with infinite complement cannot have its sequence of 3-compositions strictly increasing in cardinality.
The sequence is 2-regular, and has a linear representation of size 311.
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LINKS
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EXAMPLE
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For n=3 the 7 compositions are (1,1,1) and the six permutations of (0,1,2).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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