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A186131
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Positions of the odd partitions of (2k) in reverse lexicographic order converge to this limiting sequence.
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4
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2, 5, 7, 13, 16, 19, 31, 34, 38, 41, 45, 68, 71, 76, 79, 86, 88, 92, 97, 140, 143, 148, 151, 159, 162, 164, 168, 181, 184, 189, 195, 273, 276, 281, 284, 293, 296, 298, 302, 317, 319, 326, 329, 334, 353, 356, 360, 366, 373, 509, 512, 517, 520, 529, 532, 534, 538, 554, 557, 559, 566, 569, 574, 601
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OFFSET
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1,1
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LINKS
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EXAMPLE
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The odd partitions of (2*4) occur at positions 2, 5, 7, 14, 17 and 22. For (2*5) they occur at 2, 5, 7, 13, ... so for k=5 only the first three terms have stabilized, giving a(1) = 2, a(2) = 5, and a(3) = 7.
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MATHEMATICA
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<<DiscreteMath`Combinatorica`;
it=Table[Flatten[Position[Partitions[n], q_List/; FreeQ[q, _?EvenQ], 1]], {n, 36, 36+2, 2}]; {{diffat}}=Position[Take[Last[it], Length[First[it] ] ] - First[it] , a_ /; (a!=0), 1, 1]; Take[First[it], diffat -1 ]
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CROSSREFS
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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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