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Largest power (>=2) <= n!.
1

%I #4 Dec 05 2013 19:55:34

%S 1,1,4,16,100,676,4913,40000,362404,3625216,39904489,478996996,

%T 6226945921,87177877081,1307672296225,20922784184449,355687416544329,

%U 6402373660047556,121645099966283776,2432902006216007824

%N Largest power (>=2) <= n!.

%e a(7) = 4913 = 17^3 < 5040=7! There is no perfect power between 4913 and 5040.

%Y Cf. A074188.

%Y Cf. A055226. It seems that a(n)=A055226(n)^2 for n>7.

%K nonn

%O 1,3

%A _Amarnath Murthy_, Aug 31 2002

%E More terms from _Hugo Pfoertner_, Jul 20 2004