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A284614
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Number of partitions of n such that the (sum of distinct odd parts) > n/2.
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3
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1, 0, 1, 1, 3, 3, 6, 4, 8, 10, 16, 16, 26, 36, 50, 55, 82, 85, 115, 136, 190, 216, 284, 340, 467, 500, 651, 801, 1066, 1181, 1516, 1665, 2187, 2393, 3050, 3466, 4482, 5028, 6340, 6951, 8895, 9953, 12458, 13640, 17241, 19649, 24385, 26386, 33078, 36138, 44569
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OFFSET
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1,5
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LINKS
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EXAMPLE
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a(5) counts these 3 partitions: 5, 32, 311.
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MATHEMATICA
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Table[p = IntegerPartitions[n];
Length[Select[Table[Total[Select[DeleteDuplicates[p[[k]]], OddQ]], {k, Length[p]}], # > n/2 &]], {n, 55}]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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