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Search: id:A060509
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| A060509 |
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Largest power of n not exceeding 2^n. |
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+0
1
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| 4, 3, 16, 25, 36, 49, 64, 81, 1000, 1331, 1728, 2197, 2744, 3375, 65536, 83521, 104976, 130321, 160000, 194481, 234256, 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149, 729000000, 887503681, 1073741824, 1291467969
(list; graph; listen)
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OFFSET
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2,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=2,...,200
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FORMULA
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a(n)=n^x, where x is Floor[n/Log[2, n]]
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EXAMPLE
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n=2: 4<=2^2=4; n=3: 3<8<9; n=4 16<=16<32,..., n=20 20^4=160000<1048576=2^20<3200000 etc.
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PROGRAM
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(PARI) { default(realprecision, 100); t=log(2); for (n=2, 200, x=floor(n*t/log(n)); write("b060509.txt", n, " ", n^x); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 06 2009]
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CROSSREFS
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Sequence in context: A058557 A038233 A046162 this_sequence A113203 A034486 A130515
Adjacent sequences: A060506 A060507 A060508 this_sequence A060510 A060511 A060512
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 11 2001
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