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A359894
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Number of integer partitions of n whose parts do not have the same mean as median.
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38
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0, 0, 0, 0, 1, 3, 3, 10, 13, 20, 28, 49, 53, 93, 113, 145, 203, 287, 329, 479, 556, 724, 955, 1242, 1432, 1889, 2370, 2863, 3502, 4549, 5237, 6825, 8108, 9839, 12188, 14374, 16958, 21617, 25852, 30582, 36100, 44561, 51462, 63238, 73386, 85990, 105272, 124729
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OFFSET
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0,6
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LINKS
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EXAMPLE
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The a(4) = 1 through a(8) = 13 partitions:
(211) (221) (411) (322) (332)
(311) (3111) (331) (422)
(2111) (21111) (421) (431)
(511) (521)
(2221) (611)
(3211) (4211)
(4111) (5111)
(22111) (22211)
(31111) (32111)
(211111) (41111)
(221111)
(311111)
(2111111)
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MATHEMATICA
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Table[Length[Select[IntegerPartitions[n], Mean[#]!=Median[#]&]], {n, 0, 30}]
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CROSSREFS
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The complement is counted by A240219.
A008289 counts strict partitions by mean.
A359909 counts factorizations with the same mean as median, odd-len A359910.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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