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 A114377 Perfect powers equal to the sum of three factorial numbers. 10

%I

%S 4,8,9,27,32,36,49,128,841,5184

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

%C a(11), if it exists, is larger than 10^100.

%C a(11), if it exists, is larger than 1024!. - _Filip Zaludek_, Sep 08 2018

%H Giovanni Resta, <a href="/A114377/a114377.txt">Decompositions for a(1)-a(10)</a>

%e a(1) = 4 because 4 = 1! + 1! + 2!;

%e a(2) = 8 because 8 = 1! + 1! + 3!;

%e a(3) = 9 because 9 = 1! + 2! + 3!.

%Y Cf. A082875, A227644-A227651,

%K nonn

%O 1,1

%A _Giovanni Teofilatto_, Feb 10 2006

%E Offset corrected by _Arkadiusz Wesolowski_, Mar 06 2013

%E Example corrected by and a(9)-a(10) from _Giovanni Resta_, Jul 19 2013

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Last modified August 25 16:43 EDT 2019. Contains 326324 sequences. (Running on oeis4.)