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A238627
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Number of partitions p of n such that max(p) - 3*min(p) is a part of p.
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1
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0, 0, 0, 0, 1, 1, 2, 4, 6, 10, 13, 20, 27, 39, 50, 70, 87, 120, 147, 198, 240, 315, 381, 491, 594, 752, 900, 1130, 1348, 1676, 1992, 2449, 2902, 3540, 4184, 5065, 5969, 7181, 8438, 10095, 11829, 14078, 16460, 19495, 22740, 26818, 31205, 36662, 42571, 49836
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OFFSET
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1,7
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LINKS
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EXAMPLE
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a(8) counts these partitions: 521, 431, 4211, 41111.
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MATHEMATICA
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Table[Count[IntegerPartitions[n], p_ /; MemberQ[p, Max[p] - 3*Min[p]]], {n, 50}]
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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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