A227648 - OEIS

%I #4 Jul 19 2013 06:04:29

%S 8,9,16,25,27,32,36,64,81,100,128,144,169,196,256,324,484,512,529,625,

%T 729,784,841,1089,1225,2187,2197,2916,3025,3721,5184,5776,6241,6724,

%U 10816,15129,15876,20164,25921,40401,40804,42025,45369,47524,51984,57600,80656

%N  Perfect powers equal to the sum of 7 factorial numbers.

%C a(80), if it exists, is larger than 10^100.

%H Giovanni Resta, <a href="/A227648/b227648.txt">Table of n, a(n) for n = 1..79</a> (terms < 10^100)

%H Giovanni Resta, <a href="/A227648/a227648.txt">Decompositions for a(1)-a(79)</a>

%e 83521 = 17^4 = 1! + 6! + 6! + 6! + 6! + 8! + 8!.

%Y Cf. A114377, A227644-A227651.

%K nonn

%O 1,1

%A _Giovanni Resta_, Jul 19 2013