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A238484
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Number of partitions p of n containing ceiling((min(p) + max(p))/2) as a part.
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1
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1, 2, 3, 4, 5, 7, 8, 11, 15, 17, 24, 32, 38, 51, 68, 81, 109, 138, 169, 220, 278, 336, 431, 536, 654, 816, 1007, 1221, 1511, 1843, 2225, 2718, 3295, 3954, 4793, 5760, 6886, 8271, 9885, 11759, 14030, 16668, 19738, 23407, 27676, 32615, 38481, 45281, 53153
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OFFSET
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1,2
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LINKS
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FORMULA
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EXAMPLE
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a(6) counts these partitions: 6, 33, 321, 222, 2211, 21111, 111111.
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MATHEMATICA
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Table[Count[IntegerPartitions[n], p_ /; MemberQ[p, Ceiling[(Min[p] + Max[p])/2]]], {n, 30}]
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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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