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Search: id:A065027
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| A065027 |
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First m>0 such that n^m < m!. |
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+0
3
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| 2, 4, 7, 9, 12, 14, 17, 20, 22, 25, 28, 30, 33, 36, 38, 41, 44, 47, 49, 52, 55, 57, 60, 63, 65, 68, 71, 73, 76, 79, 82, 84, 87, 90, 92, 95, 98, 101, 103, 106, 109, 111, 114, 117, 119, 122, 125, 128, 130, 133, 136, 138, 141, 144, 147, 149, 152, 155, 157, 160, 163
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Differences are 2 or 3 (see A065067). The lim as n-> inf. of f(n)/n is e. - Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 05 2001
a(10)=25, a(100)=269, a(1000)=2714, a(10000)=27177, a(10^5)=271822, see A085830.
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EXAMPLE
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2^3 > 3! but 2^4 < 4!, so a(2)=4.
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CROSSREFS
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Sequence in context: A067839 A047211 A087733 this_sequence A026356 A031435 A065560
Adjacent sequences: A065024 A065025 A065026 this_sequence A065028 A065029 A065030
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KEYWORD
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easy,nonn
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AUTHOR
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Floor van Lamoen (fvlamoen(AT)hotmail.com), Nov 02 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 05 2001
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