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A316313
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Number of integer partitions of n such that every distinct submultiset has a different average.
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45
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1, 1, 2, 2, 3, 3, 5, 6, 6, 9, 11, 10, 15, 17, 18, 22, 28, 26, 34, 37, 44, 50, 61, 53, 77, 82, 93, 89, 120, 120, 149, 138, 174, 180, 222, 193, 257, 262, 305, 281, 367, 359, 424, 398, 487, 507, 590, 526, 662, 666, 782, 729, 894, 892, 995, 987, 1154, 1188, 1370
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OFFSET
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1,3
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COMMENTS
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Note that such a partition is necessarily strict.
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LINKS
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EXAMPLE
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The a(8) = 6 integer partitions are (8), (71), (62), (53), (521), (431).
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MATHEMATICA
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Table[Length[Select[IntegerPartitions[n], UnsameQ@@Mean/@Union[Subsets[#]]&]], {n, 20}]
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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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