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A325341
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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, 0, 1, 2, 3, 4, 7, 10, 15, 21, 29, 39, 54, 71, 95, 124, 163, 209, 271, 344, 440, 554, 700, 874, 1095, 1357, 1685, 2076, 2559, 3132, 3837, 4671, 5687, 6889, 8343, 10058, 12123, 14552, 17459, 20875, 24941, 29706, 35358, 41966, 49768, 58875, 69587, 82061
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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 4 partitions: {6,1}, {5,2}, {5,1,1}, {4,2,1}.
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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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