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A362594
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Exponentially odd numbers that are neither squarefree nor prime powers.
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2
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24, 40, 54, 56, 88, 96, 104, 120, 135, 136, 152, 160, 168, 184, 189, 216, 224, 232, 248, 250, 264, 270, 280, 296, 297, 312, 328, 344, 351, 352, 375, 376, 378, 384, 408, 416, 424, 440, 456, 459, 472, 480, 486, 488, 513, 520, 536, 544, 552, 568, 584, 594, 608, 616
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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24 = 2^3 * 3^1 is in this sequence because it has 2 distinct prime factors whose multiplicities are odd and one such multiplicity exceeds 1.
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MATHEMATICA
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Select[Select[Range[1000], Nor[SquareFreeQ[#], PrimePowerQ[#]] &], Times @@ FactorInteger[#][[All, 1]] == (Sqrt[#] /. (c_ : 1)*a_^(b_ : 0) :> (c*a^b)^2) &]
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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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