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A074187
Largest power (>=2) <= n!.
1
1, 1, 4, 16, 100, 676, 4913, 40000, 362404, 3625216, 39904489, 478996996, 6226945921, 87177877081, 1307672296225, 20922784184449, 355687416544329, 6402373660047556, 121645099966283776, 2432902006216007824
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OFFSET
1,3
LINKS
Table of n, a(n) for n=1..20.
EXAMPLE
a(7) = 4913 = 17^3 < 5040=7! There is no perfect power between 4913 and 5040.
CROSSREFS
Cf.
A074188
.
Cf.
A055226
. It seems that a(n)=
A055226
(n)^2 for n>7.
Sequence in context:
A318693
A087296
A065731
*
A111883
A370529
A245155
Adjacent sequences:
A074184
A074185
A074186
*
A074188
A074189
A074190
KEYWORD
nonn
AUTHOR
Amarnath Murthy
, Aug 31 2002
EXTENSIONS
More terms from
Hugo Pfoertner
, Jul 20 2004
STATUS
approved