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A062277
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Floor[ e^n / n^e ].
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2
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2, 1, 1, 1, 1, 3, 5, 10, 20, 42, 88, 189, 414, 921, 2077, 4737, 10921, 25416, 59646, 141033, 335752, 804258, 1937372, 4690989, 11412140, 27884328, 68407056, 168446547, 416226830, 1031816793, 2565591729, 6397371713, 15994440540
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OFFSET
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1,1
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COMMENTS
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e is the only positive real k for which k^n is greater than or equal to n^k for all positive real n.
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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(1)=[e^1/1^e]=[e]=2
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PROG
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(PARI) { default(realprecision, 100); e=exp(1); for (n=1, 200, write("b062277.txt", n, " ", floor(e^n / n^e)) ) } [From Harry J. Smith, Aug 03 2009]
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CROSSREFS
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Cf. A000149, A061293.
Sequence in context: A201080 A039754 A213919 * A204929 A118210 A061399
Adjacent sequences: A062274 A062275 A062276 * A062278 A062279 A062280
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley, Jul 02 2001
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STATUS
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approved
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