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Perfect powers equal to the sum of 10 factorial numbers.
9

%I #4 Jul 19 2013 06:04:50

%S 16,25,27,32,36,49,64,81,100,125,128,144,169,196,216,225,256,289,324,

%T 343,400,441,484,512,529,625,676,729,784,841,900,1000,1024,1089,1156,

%U 1225,1331,1444,1521,1600,1681,1728,1936,2048,2187,2197,2304,2401,2916,3025

%N Perfect powers equal to the sum of 10 factorial numbers.

%C a(240), if it exists, is larger than 10^50.

%H Giovanni Resta, <a href="/A227651/b227651.txt">Table of n, a(n) for n = 1..239</a> (terms < 10^50)

%H Giovanni Resta, <a href="/A227651/a227651.txt">Decompositions for a(1)-a(239)</a>

%e 25411681 = 71^4 = 1! + 7! + 7! + 10! + 10! + 10! + 10! + 10! + 10! + 10!.

%Y Cf. A114377, A227644-A227650.

%K nonn

%O 1,1

%A _Giovanni Resta_, Jul 19 2013