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A083378
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a(n) is the largest integer whose cube has n digits and first digit 1, except that a(2)=2.
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3
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1, 2, 5, 12, 27, 58, 125, 271, 584, 1259, 2714, 5848, 12599, 27144, 58480, 125992, 271441, 584803, 1259921, 2714417, 5848035, 12599210, 27144176, 58480354, 125992104, 271441761, 584803547, 1259921049, 2714417616, 5848035476
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OFFSET
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1,2
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COMMENTS
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a(2)=2 because there is no integer with cube between 10 and 19.
A generalization to arbitrary powers is found in Hürlimann, 2004.
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LINKS
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FORMULA
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a(n) = floor((10^n/5)^(1/3)).
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MATHEMATICA
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Floor[Power[(10^Range[30])/5, (3)^-1]] (* Harvey P. Dale, Jul 15 2011 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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Werner S. Hürlimann (whurlimann(AT)bluewin.ch), Jun 05 2003
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EXTENSIONS
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STATUS
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approved
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