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A284613
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Number of partitions of n such that the (sum of distinct odd parts) <= n/2.
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4
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0, 2, 2, 4, 4, 8, 9, 18, 22, 32, 40, 61, 75, 99, 126, 176, 215, 300, 375, 491, 602, 786, 971, 1235, 1491, 1936, 2359, 2917, 3499, 4423, 5326, 6684, 7956, 9917, 11833, 14511, 17155, 20987, 24845, 30387, 35688, 43221, 50803, 61535, 71893, 85909, 100369, 120887
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(4) counts these 4 partitions: 4, 31, 211, 1111.
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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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