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A280644
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Numbers k such that k^3 has an odd number of digits and the middle digit is 4.
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3
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7, 104, 112, 140, 143, 158, 166, 186, 188, 195, 465, 467, 490, 541, 558, 572, 595, 598, 604, 605, 606, 607, 613, 616, 622, 625, 630, 634, 635, 640, 643, 647, 653, 667, 675, 679, 687, 702, 712, 718, 720, 727, 734, 738, 759, 764, 783, 787, 802, 810, 815, 818
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OFFSET
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1,1
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COMMENTS
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The sequence of cubes starts: 343, 1124864, 1404928, 2744000, 2924207, 3944312, 4574296, 6434856, ...
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LINKS
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EXAMPLE
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7^3 = 3(4)3, 195^3 = 741(4)875, 640^3 = 2621(4)4000
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MATHEMATICA
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Select[Range[1000], OddQ[IntegerLength[#^3]]&&NumberDigit[#^3, (IntegerLength[ #^3]-1)/2]==4&] (* Harvey P. Dale, Aug 12 2021 *)
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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