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A325342
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Number of partitions p of n such that min(p) < (number of parts of p) <= max(p).
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3
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0, 0, 1, 1, 2, 3, 6, 8, 12, 17, 24, 33, 46, 61, 82, 108, 142, 184, 239, 305, 391, 495, 626, 786, 985, 1226, 1524, 1884, 2323, 2853, 3497, 4268, 5200, 6314, 7650, 9243, 11146, 13403, 16090, 19268, 23032, 27473, 32716, 38878, 46130, 54633, 64603, 76264, 89899
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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(7) counts these 6 partitions: {6,1}, {5,1,1}, {4,2,1}, {4,1,1,1}, {3,3,1}, {3,2,2}.
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MATHEMATICA
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Table[Count[IntegerPartitions[n], q_ /; Min[q] < Length[q] <= Max[q]], {n, 60}]
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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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