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Search: id:A064317
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| A064317 |
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a(n) satisfies a(n)^a(n) <= n! < (a(n)+1)^(a(n)+1). |
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+0
2
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| 1, 1, 1, 2, 2, 3, 4, 5, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 41, 42, 43, 44, 45, 46, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59
(list; graph; listen)
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OFFSET
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0,4
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,1000
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EXAMPLE
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a(7)=5 since 5^5=3125 <= 7!=5040 < 6^6=46656.
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PROGRAM
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(PARI) { f=a=1; for (n=0, 1000, if (n, f*=n); until (a^a > f, a++); a--; write("b064317.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 11 2009]
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CROSSREFS
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Cf. A000142, A000312, A064318.
Sequence in context: A105235 A073719 A105566 this_sequence A127037 A089646 A011884
Adjacent sequences: A064314 A064315 A064316 this_sequence A064318 A064319 A064320
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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), Sep 10 2001
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