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Search: id:A083378
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| A083378 |
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a(n) = the largest integer whose cube has n digits and first digit 1; but a(2)=2. |
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+0
1
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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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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 Huerlimann, 2003.
Non-mathematical comment: the line with the Huerlimann reference causes the mail program "mail-dark" to think the line contains a virus. - N. J. A. Sloane (njas(AT)research.att.com), Nov 10 2005
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REFERENCES
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W. Huerlimann, Integer powers and Benford's law, preprint, 2003, available at www.mathpreprints.com/math/Preprint/werner.huerlimann/20030603/1 or at www.geocities.com/hurlimann53 (list of publications)
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FORMULA
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a(n)=floor(cuberoot(10^n/5))
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CROSSREFS
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Cf. A061439, A083377-A083380.
Adjacent sequences: A083375 A083376 A083377 this_sequence A083379 A083380 A083381
Sequence in context: A000325 A076878 A129983 this_sequence A116712 A000102 A086589
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KEYWORD
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base,easy,nonn
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AUTHOR
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Werner S. Huerlimann [H\"{u}rlimann] (whurlimann(AT)bluewin.ch), Jun 05 2003
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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), Nov 05 2005
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