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A284615
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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, 1, 1, 1, 3, 4, 6, 9, 8, 11, 16, 24, 26, 37, 50, 75, 82, 113, 115, 166, 190, 259, 284, 400, 467, 619, 651, 887, 1066, 1394, 1516, 2020, 2187, 2809, 3050, 3983, 4482, 5691, 6340, 8149, 8895, 11158, 12458, 15796, 17241, 21452, 24385, 30582, 33078, 40775
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OFFSET
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1,5
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LINKS
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FORMULA
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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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