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

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

Offset: 1

Author

Giovanni Teofilatto, Feb 10 2006

Keywords

• nonn

Comments

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

a(11), if it exists, is larger than 1024!. - Filip Zaludek, Sep 08 2018

Examples

			a(1) = 4 because 4 = 1! + 1! + 2!;
a(2) = 8 because 8 = 1! + 1! + 3!;
a(3) = 9 because 9 = 1! + 2! + 3!.
		

Links

• Giovanni Resta, Decompositions for a(1)-a(10)

Crossrefs

Cf. A082875, A227644-A227651,

Extensions

Offset corrected by Arkadiusz Wesolowski, Mar 06 2013

Example corrected by and a(9)-a(10) from Giovanni Resta, Jul 19 2013