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

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

Offset

1,1

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

Links

Table of n, a(n) for n=1..10.

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

Example

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

Crossrefs

Cf. A082875, A227644-A227651,

Sequence in context: A168363 A182046 A171468 * A115697 A075783 A098121

Adjacent sequences: A114374 A114375 A114376 * A114378 A114379 A114380

Keyword

nonn

Author

Giovanni Teofilatto, Feb 10 2006

Extensions

Offset corrected by Arkadiusz Wesolowski, Mar 06 2013

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

Status

approved