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A065801
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Least k such that n^k > 2^n.
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1
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3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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LINKS
| Harry J. Smith, Table of n, a(n) for n=2,...,1000
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EXAMPLE
| a(4) = 3 because if k = 2, 4^2 <= 2^4 but when k reaches 3, 4^3 > 2^4.
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MATHEMATICA
| f[n_] := (k = 1; While[n^k <= 2^n, k++ ]; Return[k]); Table[ f[n], {n, 2, 70} ]
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PROG
| (PARI) { for (n=2, 1000, k=1; p=2^n; while (n^k <= p, k++); write("b065801.txt", n, " ", k) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 31 2009]
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CROSSREFS
| Sequence in context: A120004 A079790 A098726 * A205237 A086920 A117451
Adjacent sequences: A065798 A065799 A065800 * A065802 A065803 A065804
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 05 2001
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EXTENSIONS
| OFFSET changed from 1,1 to 2,1 and Definition corrected by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 31 2009
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