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A077113
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Number of integer cubes <= n^2.
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3
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1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19
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OFFSET
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0,2
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COMMENTS
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a(n) = least number m such that m^3 > n^2. - Zak Seidov, May 03 2005
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LINKS
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Table of n, a(n) for n=0..77.
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FORMULA
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a(n) = floor(n^(2/3))+1.
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EXAMPLE
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Cubes <= 10^2: 0, 1, 8, 27 and 64, hence a(10)=5;
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MATHEMATICA
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Table[Floor[n^(2/3) + 1], {n, 0, 100}] - Zak Seidov, May 03 2005
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CROSSREFS
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Cf. A077106, A026409, A026414, A054071, A077121.
Sequence in context: A189717 A219519 A163127 * A143796 A057362 A214046
Adjacent sequences: A077110 A077111 A077112 * A077114 A077115 A077116
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller, Oct 29 2002
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EXTENSIONS
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Edited by N. J. A. Sloane, Aug 29 2008 at the suggestion of R. J. Mathar
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STATUS
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approved
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