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Search: id:A062278
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| 3, 1, 1, 1, 1, 3, 6, 12, 27, 59, 133, 307, 725, 1743, 4251, 10509, 26285, 66430, 169450, 435848, 1129505, 2947131, 7737583, 20430377, 54226471, 144621405, 387420489, 1042127936, 2813988985, 7625597484, 20733556989, 56549688380
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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3 is the only integer value of k for which [n^k/k^n] is always positive. For positive real x and k, the only value of k for which x^k is always greater than or equal to k^x is e=2.71828...
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,200
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EXAMPLE
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a(2)=[3^2/2^3]=[9/8]=1
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PROGRAM
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(PARI) { default(realprecision, 50); for (n=1, 200, write("b062278.txt", n, " ", floor(3^n / n^3)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 03 2009]
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CROSSREFS
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Cf. A000244, A000578, A024026, A060505.
Sequence in context: A124389 A027023 A052371 this_sequence A016465 A122947 A046534
Adjacent sequences: A062275 A062276 A062277 this_sequence A062279 A062280 A062281
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 02 2001
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