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%I #4 Jul 19 2013 06:04:23
%S 8,9,16,27,32,36,49,64,81,100,121,125,128,144,196,256,484,729,900,
%T 1444,1728,2187,2209,2401,5184,5329,5776,5929,7225,7921,11664,15129,
%U 20164,41209,45369,46225,80656,121801,126025,201601,363609,443556,776161,806404
%N Perfect powers equal to the sum of 6 factorial numbers.
%C a(51), if it exists, is larger than 10^100.
%H Giovanni Resta, <a href="/A227647/b227647.txt">Table of n, a(n) for n = 1..50</a> (terms < 10^100)
%H Giovanni Resta, <a href="/A227647/a227647.txt">Decompositions for a(1)-a(50)</a>
%e 443556 = 666^2 = 3! + 3! + 4! + 8! + 8! + 9!.
%Y Cf. A114377, A227644-A227651.
%K nonn
%O 1,1
%A _Giovanni Resta_, Jul 19 2013
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