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A325343
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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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1, 0, 1, 2, 3, 4, 7, 9, 14, 19, 27, 36, 50, 65, 87, 114, 149, 192, 249, 316, 404, 510, 643, 805, 1008, 1251, 1553, 1917, 2361, 2895, 3546, 4322, 5262, 6383, 7728, 9330, 11245, 13512, 16213, 19405, 23186, 27643, 32907, 39089, 46366, 54894, 64893, 76584, 90256
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OFFSET
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1,4
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LINKS
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EXAMPLE
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a(7) counts these 7 partitions: {6,1}, {5,2}, {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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