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A083380
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a(n) is the number of cubes with at most n digits and first digit 1.
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3
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1, 1, 2, 5, 11, 23, 49, 105, 225, 485, 1045, 2252, 4852, 10452, 22517, 48510, 104508, 225153, 485075, 1045058, 2251505, 4850716, 10450546, 22515012, 48507117, 104505409, 225150073, 485071123, 1045054049, 2251500692
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OFFSET
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1,3
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COMMENTS
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Asymptotically, the probability that a cube begins with 1 is (2^(1/3) - 1)/(10^(1/3) - 1).
A generalization to arbitrary powers is found in Hürlimann, 2004. As the power increases, the probability distribution approaches Benford's law.
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LINKS
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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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