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A214449
Least m>0 such that n! <= m^m.
1
1, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27, 27, 28, 29, 30, 31, 32, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52
OFFSET
1,2
COMMENTS
Conjecture: this sequence results from A118168 by deleting the first two 1s.
LINKS
EXAMPLE
a(4) = 3 because 2^2 < 4! < 3^3.
MATHEMATICA
Table[m = 1; While[n! > m^m, m++]; m, {n, 1, 100}]
CROSSREFS
Cf. A214046.
Sequence in context: A093700 A213854 A366860 * A118168 A083920 A066508
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jul 18 2012
STATUS
approved