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A061439
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Largest number whose cube has n digits.
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15
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2, 4, 9, 21, 46, 99, 215, 464, 999, 2154, 4641, 9999, 21544, 46415, 99999, 215443, 464158, 999999, 2154434, 4641588, 9999999, 21544346, 46415888, 99999999, 215443469, 464158883, 999999999, 2154434690, 4641588833, 9999999999
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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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a(n) = ceiling(10^(n/3)) - 1. - Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 30 2003
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EXAMPLE
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a(5) = 46 because 46^3 = 97336 has 5 digits, while 47^3 = 103823 has 6 digits.
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MAPLE
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Digits := 100:
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MATHEMATICA
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t={}; i=0; Do[i=i+1; While[IntegerLength[i^3]<=n, i++]; AppendTo[t, i-1], {n, 20}]; t (* Jayanta Basu, May 19 2013 *)
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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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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), May 16 2001
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STATUS
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approved
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