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A238485
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Number of partitions p of n not containing ceiling((min(p) + max(p))/2) as a part.
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1
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0, 0, 0, 1, 2, 4, 7, 11, 15, 25, 32, 45, 63, 84, 108, 150, 188, 247, 321, 407, 514, 666, 824, 1039, 1304, 1620, 2003, 2497, 3054, 3761, 4617, 5631, 6848, 8356, 10090, 12217, 14751, 17744, 21300, 25579, 30553, 36506, 43523, 51768, 61458, 72943, 86273, 101992
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OFFSET
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1,5
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LINKS
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FORMULA
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EXAMPLE
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a(6) counts these partitions: 51, 42, 411, 3111.
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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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