|
%I #4 Jul 19 2013 06:04:37
%S 8,9,16,25,27,32,36,49,64,81,100,125,128,144,169,196,216,225,243,256,
%T 289,343,361,400,484,512,576,729,784,841,900,961,1000,1089,1521,1600,
%U 1849,2304,5041,5184,5776,5832,6724,10201,10816,11881,14400,15129,17424
%N Perfect powers equal to the sum of 8 factorial numbers.
%C a(101), if it exists, is larger than 10^100.
%H Giovanni Resta, <a href="/A227649/b227649.txt">Table of n, a(n) for n = 1..100</a> (terms < 10^100)
%H Giovanni Resta, <a href="/A227649/a227649.txt">Decompositions for a(1)-a(100)</a>
%e 10890000 = 3300^2 = 6! + 6! + 6! + 6! + 6! + 10! + 10! + 10!.
%Y Cf. A114377, A227644-A227651.
%K nonn
%O 1,1
%A _Giovanni Resta_, Jul 19 2013
|
