The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A214046 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A214046

Least m>0 such that n! <= m^n.
(history; published version)

#4 by Joerg Arndt at Fri Jul 20 04:04:24 EDT 2012

STATUS

proposed

approved

#3 by Clark Kimberling at Thu Jul 19 21:35:49 EDT 2012

STATUS

editing

proposed

#2 by Clark Kimberling at Wed Jul 18 11:22:36 EDT 2012

NAME

allocated for Clark KimberlingLeast m>0 such that n! <= m^n.

DATA

1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26

OFFSET

1,2

LINKS

Clark Kimberling, <a href="/A214046/b214046.txt">Table of n, a(n) for n = 1..1000</a>

EXAMPLE

a(7) = 4 because 3^7 < 7! <= 4^7.

MATHEMATICA

Table[m=1; While[n!>m^n, m++]; m, {n, 1, 100}]

CROSSREFS

Cf. A214045.

KEYWORD

allocated

nonn,easy

AUTHOR

Clark Kimberling, Jul 18 2012

STATUS

approved

editing

#1 by Clark Kimberling at Mon Jul 02 12:18:44 EDT 2012

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved