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A371956
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Number of non-biquanimous compositions of 2n.
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3
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OFFSET
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0,3
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COMMENTS
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A finite multiset of numbers is defined to be biquanimous iff it can be partitioned into two multisets with equal sums. Biquanimous partitions are counted by A002219 and ranked by A357976.
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LINKS
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EXAMPLE
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The a(1) = 1 through a(3) = 9 compositions:
(2) (4) (6)
(1,3) (1,5)
(3,1) (2,4)
(4,2)
(5,1)
(1,1,4)
(1,4,1)
(2,2,2)
(4,1,1)
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MATHEMATICA
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Table[Length[Select[Join@@Permutations/@IntegerPartitions[2n], !MemberQ[Total/@Subsets[#], n]&]], {n, 0, 5}]
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CROSSREFS
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The complement is counted by A064914.
A237258 (aerated) counts biquanimous strict partitions, ranks A357854.
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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