A074187 - OEIS

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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. 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